for each of the followings angles (in radian measure), find the cos of the angle (your answer cannot contain trig functions, it must be an arithmetic expression or number):

Answers

Answer 1

The cosines of the angles you provided, expressed as arithmetic expressions or numbers:

Angle | Cosine

------- | --------

$0$ | $1$

$\frac{\pi}{6}$ | $\frac{\sqrt{3}}{2}$

$\frac{\pi}{4}$ | $\frac{\sqrt{2}}{2}$

$\frac{\pi}{3}$ | $\frac{1}{2}$

$\frac{\pi}{2}$ | $0$

$\frac{2 \pi}{3}$ | $-\frac{1}{2}$

$\frac{5 \pi}{6}$ | $-\frac{\sqrt{2}}{2}$

$\frac{3 \pi}{4}$ | $-\frac{\sqrt{3}}{2}$

$\pi$ | $-1$

The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse of a right triangle with an angle of that measure. In other words, if we have a right triangle with angle $\theta$, then the cosine of $\theta$ is equal to the length of the side adjacent to $\theta$ divided by the length of the hypotenuse.

For the angles listed above, we can use the Pythagorean Theorem to find the lengths of the adjacent and hypotenuse sides of the right triangles. Once we have these lengths, we can simply divide the adjacent side by the hypotenuse to find the cosine of the angle.

For example, the cosine of $\frac{\pi}{6}$ is $\frac{\sqrt{3}}{2}$. This can be found by considering a right triangle with an angle of $\frac{\pi}{6}$. The adjacent side of this triangle is $\frac{1}{2}$, and the hypotenuse is $\sqrt{3}$. Therefore, the cosine of $\frac{\pi}{6}$ is equal to $\frac{\frac{1}{2}}{\sqrt{3}} = \frac{\sqrt{3}}{2}$.

The other cosines can be found in a similar way.

to learn more about hypotenuse click here:

brainly.com/question/30625256

#SPJ11


Related Questions



From 32 students, 4 are to be randomly chosen for an academic challenge team. In how many ways, can this be done?

Answers

There are 27,405 ways to choose 4 students out of 32 for the academic challenge team.

The number of ways to choose 4 students out of 32 can be calculated using the combination formula, which is denoted as "32 choose 4" or written as C(32, 4).

To calculate the number of ways to choose 4 students out of 32, we can use the combination formula:

C(n, r) = n! / (r! * (n - r)!)

where n is the total number of students (32 in this case) and r is the number of students to be chosen (4 in this case).

Applying this formula, we have:

C(32, 4) = 32! / (4! * (32 - 4)!)

Simplifying this expression:

C(32, 4) = 32! / (4! * 28!)

Now, calculating the factorial expressions:

32! = 32 * 31 * 30 * ... * 3 * 2 * 1

4! = 4 * 3 * 2 * 1

28! = 28 * 27 * 26 * ... * 3 * 2 * 1

The common terms between 32! and 28! cancel out, leaving:

C(32, 4) = (32 * 31 * 30 * 29) / (4 * 3 * 2 * 1)

Evaluating this expression, we find:

C(32, 4) = 27,405

Therefore, there are 27,405 ways to choose 4 students out of 32 for the academic challenge team.

To learn more about combination formula

brainly.com/question/13090387

#SPJ11



Given cos θ=-15/17 and 180°<θ<270° , find the exact value of each expression. sec θ/2

Answers

The exact value of sec(θ/2) is 17/15.

To find the exact value of sec(θ/2), we first need to find the value of θ/2.

Since cos(θ) = -15/17 and 180° < θ < 270°, we know that θ is in the third quadrant. In the third quadrant, cos(θ) is negative.

Given that cos(θ) = -15/17, we can use the Pythagorean identity to find the value of sin(θ):

sin(θ) = ±√(1 - cos²(θ))

= ±√(1 - (-15/17)²)

= ±√(1 - 225/289)

= ±√(289/289 - 225/289)

= ±√(64/289)

= ±(8/17)

Since θ is in the third quadrant, sin(θ) is negative. Therefore, sin(θ) = -8/17.

Now we can find the value of θ/2:

θ/2 = θ / 2

= (180° + θ) / 2

= (180° + (180° + θ)) / 2

= (360° + θ) / 2

= 360°/2 + θ/2

= 180° + θ/2

So, θ/2 = 180° + θ/2.

Now we can find the value of sec(θ/2):

sec(θ/2) = 1 / cos(θ/2)

Since θ/2 = 180° + θ/2, we can substitute it into the expression:

sec(θ/2) = 1 / cos(180° + θ/2)

Since cos(180° + θ/2) = -cos(θ/2), we have:

sec(θ/2) = 1 / (-cos(θ/2))

= -1 / cos(θ/2)

Finally, we can substitute the value of cos(θ/2) we found earlier:

sec(θ/2) = -1 / (-15/17)

= 17 / 15

Therefore, the exact value of sec(θ/2) is 17/15.

Learn more about  exact value from

https://brainly.com/question/30695546

#SPJ11



In this problem, you will investigate the areas of regular polygons inscribed in circles.

b. Use the inscribed regular polygons from part a to develop a formula for the area of an inscribed regular polygon in terms of angle measure x and number of sides n .

Answers

The formula for the area of an inscribed regular polygon in terms of the angle measure x and the number of sides n is:

Area = r^2 * n * sin(180/n)

To develop a formula for the area of an inscribed regular polygon in terms of the angle measure x and the number of sides n, we can start by examining the relationship between the angle measure and the side length of the polygon.

In an inscribed regular polygon, each interior angle is equal to x degrees. Since the sum of the interior angles of a polygon is equal to (n-2) times 180 degrees, we have:

(n-2) * 180 = n * x

Simplifying this equation, we get:

180n - 360 = nx

Rearranging the terms, we have:

nx - 180n = -360

Factoring out n from the left side of the equation, we get:

n(x - 180) = -360

Dividing both sides by (x - 180), we have:

n = -360 / (x - 180)

Now that we have the relationship between the number of sides n and the angle measure x, we can use it to derive a formula for the area of the inscribed regular polygon.

The area of a regular polygon can be found using the formula:

Area = (1/2) * apothem * perimeter

The apothem of a regular polygon is the perpendicular distance from the center of the polygon to any of its sides. In this case, since the regular polygon is inscribed in a circle, the apothem is equal to the radius of the circle.

Let's denote the radius of the circle as r. The perimeter of the polygon can be expressed in terms of the side length s, which is related to the radius by the equation:

s = 2r * sin(180/n)

The area formula can now be written as:

Area = (1/2) * r * (2r * sin(180/n)) * n

Simplifying further, we have:

Area = r^2 * n * sin(180/n)

Therefore, the formula for the area of an inscribed regular polygon in terms of the angle measure x and the number of sides n is:

Area = r^2 * n * sin(180/n)

Learn more about  area from

https://brainly.com/question/25292087

#SPJ11



How can you write the expression with a rationalized denominator?


(b) 4x / 3-√6

Answers

The expression with a rationalized denominator is: (4x * (3 + √6)) / 3

To rationalize the denominator of the expression (4x / (3 - √6)), we can multiply both the numerator and denominator by the conjugate of the denominator, which is (3 + √6).

The rationalized expression will be:

(4x / (3 - √6)) * ((3 + √6) / (3 + √6))

Applying the multiplication in the numerator and denominator:

(4x * (3 + √6)) / ((3 - √6) * (3 + √6))

Expanding the denominator using the difference of squares formula (a^2 - b^2 = (a + b)(a - b)):

(4x * (3 + √6)) / ((3)^2 - (√6)^2)

Simplifying further:

(4x * (3 + √6)) / (9 - 6)

(4x * (3 + √6)) / 3

Finally, the expression with a rationalized denominator is:

(4x * (3 + √6)) / 3

Learn more about expression from

brainly.com/question/1859113

#SPJ11

determine the domain, horizontal intercept and vertical intercept for each of the following functions. write the domain in interval notation. write the intercepts as ordered pairs. if there is no intercept, write dne for does not exist

Answers

The required solutions are:

a. For function [tex]f(x) = \sqrt[3]{x - 20}:[/tex]

Domain: [20, [tex]\infty[/tex])

Horizontal intercept: (20, 0)

Vertical intercept: (0, -2)

b. For function [tex]f(x) = \sqrt[3]{17x + 28}:[/tex]

Domain: [-28/17, [tex]\infty[/tex])

Horizontal intercept: (-28/17, 0)

Vertical intercept: (0, [tex]2\sqrt[3]{7}[/tex])

c. For function [tex]g(x) = \sqrt[4]{(-16x + 23)}:[/tex]

Domain: (-[tex]\infty[/tex], 23/16]

Horizontal intercept: (23/16, 0)

Vertical intercept: (0, [tex]\sqrt[4]{23}[/tex])

d. For function f(x) =[tex]\sqrt[3]{-x}[/tex]:

Domain: (-[tex]\infty[/tex], 0]

Horizontal intercept: (0, 0)

Vertical intercept: (0, 0)

a. For the function  [tex]f(x) = \sqrt[3]{x - 20}:[/tex]

Domain: Since we have a cube root, the radicand (x - 20) must be greater than or equal to zero to avoid taking the cube root of a negative number. Therefore, the domain is x [tex]\geq[/tex] 20.

Horizontal intercept: To find the horizontal intercept, we set f(x) = 0 and solve for x:

[tex]\sqrt[3]{x - 20} = 0[/tex]

x - 20 = 0

x = 20

Vertical intercept: To find the vertical intercept, we substitute x = 0 into the function:

[tex]f(0) = \sqrt[3]{0 - 20} = \sqrt[3]{20} = -2[/tex]

Therefore, for function [tex]f(x) = \sqrt[3]{x - 20}:[/tex]

Domain: [20, [tex]\infty[/tex])

Horizontal intercept: (20, 0)

Vertical intercept: (0, -2)

b. For the function [tex]f(x) = \sqrt[3]{17x + 28}:[/tex]

Domain: Similar to the previous function, we need the radicand (17x + 28) to be greater than or equal to zero to avoid taking the cube root of a negative number. Solving the inequality gives x [tex]\geq[/tex] -28/17.

Horizontal intercept: Setting f(x) = 0 and solving for x:

[tex]\sqrt[3]{17x + 28} =0[/tex]

17x + 28 = 0

17x = -28

x = -28/17

Vertical intercept: Substituting x = 0 into the function:

[tex]f(0) = \sqrt[3]{17(0) + 28} = \sqrt[3]{28} = \sqrt[3]{7}[/tex]

Therefore, for function [tex]f(x) = \sqrt[3]{17x + 28}:[/tex]

Domain: [-28/17, [tex]\infty[/tex])

Horizontal intercept: (-28/17, 0)

Vertical intercept: (0, [tex]2\sqrt[3]{7}[/tex])

c. For the function  [tex]g(x) = \sqrt[4]{(-16x + 23)}:[/tex]

Domain: To avoid taking the fourth root of a negative number, the radicand (-16x + 23) must be greater than or equal to zero. Solving the inequality gives x [tex]\leq[/tex] 23/16.

Horizontal intercept: Setting g(x) = 0 and solving for x:

[tex]\sqrt[4]{-16x + 23} = 0[/tex]

-16x + 23 = 0

-16x = -23

x = 23/16

Vertical intercept: Substituting x = 0 into the function:

[tex]g(0) = \sqrt[4]{-16(0) + 23} = \sqrt[4]{23}[/tex]

Therefore, for function [tex]g(x) = \sqrt[4]{(-16x + 23)}:[/tex]

Domain: (-[tex]\infty[/tex], 23/16]

Horizontal intercept: (23/16, 0)

Vertical intercept: (0, [tex]\sqrt[4]{23}[/tex])

d. For the function f(x) =[tex]\sqrt[3]{-x}[/tex]:

Domain: Since we have a cube root, the radicand (-x) must be greater than or equal to zero to avoid taking the cube root of a negative number. Therefore, the domain is x [tex]\leq[/tex] 0.

Horizontal intercept: Setting f(x) = 0 and solving for x:

[tex]\sqrt[3]{-x} = 0[/tex]

-x = 0

x = 0

Vertical intercept: Substituting x = 0 into the function:

f(0) =[tex]\sqrt[3]{-0}[/tex] = 0

Therefore, for function f(x) =[tex]\sqrt[3]{-x}[/tex]:

Domain: (-[tex]\infty[/tex], 0]

Horizontal intercept: (0, 0)

Vertical intercept: (0, 0)

Learn more about the domain of a function at:

https://brainly.com/question/28934802

#SPJ4

The complete question is:

'determine the domain, horizontal intercept and vertical intercept for each of the following functions. write the domain in interval notation. write the intercepts as ordered pairs. if there is no intercept, write dne for does not exist

[tex]a. f(x)=\sqrt[3]{x-20}\\b. f(x)=\sqrt[3]{17x+28}\\c. g(x)=\sqrt[4]{-16x+23}\\d. f(x)=\sqrt[3]{-x}\\[/tex]

what points need to be plotted?
f(x) = −10x+20/x²−3x−10

Answers

To plot the graph of the function f(x) = -10x + 20 / (x² - 3x - 10),The points to be plotted are the x-intercepts x = 5 and x = -2 and the vertical asymptotes are x = 5 and x = -2.

To plot the graph of the given function, we can follow these steps:

Find the x-intercepts: To determine the x-intercepts, we set f(x) equal to zero and solve for x. In this case, we need to solve the equation -10x + 20 / (x² - 3x - 10) = 0. By factoring the denominator, we obtain (x - 5)(x + 2). Therefore, the x-intercepts are x = 5 and x = -2.

Find the vertical asymptotes: The vertical asymptotes occur where the denominator of the function becomes zero. Solving x² - 3x - 10 = 0, we get (x - 5)(x + 2) = 0, which gives us x = 5 and x = -2. Thus, the vertical asymptotes are x = 5 and x = -2.

Determine the behavior near the asymptotes: As x approaches the vertical asymptotes, the function approaches positive or negative infinity depending on the sign of -10x + 20. This information helps us understand the behavior of the graph near the asymptotes.

Plot additional points: We can select some x-values outside the asymptotes and compute the corresponding y-values using the function. By choosing various x-values and calculating the corresponding y-values, we can plot additional points to sketch the graph accurately.

By following these steps, we can plot the graph of the function f(x) = -10x + 20 / (x² - 3x - 10) and visualize its behavior on the coordinate plane.

Learn more about vertical asymptotes here:

https://brainly.com/question/32526892

#SPJ11

Use Descaries' rule of sigma to determine the possible number of positive and negative real zeros for the following function. Then, use the graph to determine the actual numbers of positive and negative real zeros.
P(x)=7x⁴+3x³+3x−1
What is the possible number of postive real zeros?
A. 1
B. 3 or 1
C. 2 or 0
D. 0

Answers

The possible number of positive real zeros for the function P(x) = 7x⁴ + 3x³ + 3x - 1 is either 2 or 0.

To apply Descartes' Rule of Signs to determine the possible number of positive real zeros for the function P(x) = 7x⁴ + 3x³ + 3x - 1, we count the sign changes in the coefficients of the polynomial. Starting with the original function P(x), let's write down the signs of the coefficients: 7x⁴: Positive

3x³: Positive

3x: Positive

-1: Negative

We observe that there are two sign changes in the coefficients of P(x): from positive to positive, and from positive to negative. According to Descartes' Rule of Signs, the possible number of positive real zeros is either equal to the number of sign changes (2) or less than that by an even number (0).Therefore, the possible number of positive real zeros for the function P(x) = 7x⁴ + 3x³ + 3x - 1 is either 2 or 0.To determine the actual number of positive real zeros, we need to analyze the graph of the function or use numerical methods such as graphing calculators or software. Using a graphing calculator or software to graph the function P(x) = 7x⁴ + 3x³ + 3x - 1 would allow us to visually determine the actual number of positive real zeros.

Learn more about function here :

https://brainly.com/question/30721594

#SPJ11

Use this example as a guide to plot (on a scratch paper) a city circle with center (0, 0) and radius 5.5 blocks. how many points does your city circle have?

Answers

The city circle has a total of 12 points when plotted on a scratch paper.

The city circle with a center at (0, 0) and a radius of 5.5 blocks can be plotted on a scratch paper. To determine the number of points on the city circle, we need to understand that each point on the circle corresponds to a unique pair of coordinates (x, y) that satisfy the equation of a circle.

The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the city circle is (0, 0), and the radius is 5.5 blocks. Thus, the equation of the city circle is:

x^2 + y^2 = (5.5)^2

To plot the city circle, we can start by drawing a coordinate grid on the scratch paper. Then, using the equation of the circle, we can plot various points on the circle by substituting different values of x and solving for y.

By selecting different values of x such as -5.5, -4, -3, -2, -1, 0, 1, 2, 3, 4, and 5.5, we can calculate the corresponding values of y using the equation of the circle. These points will lie on the circumference of the city circle.

Since the circle is symmetric with respect to both the x-axis and the y-axis, we can reflect the plotted points across these axes to obtain the complete circle. By doing so, we will have a total of 12 unique points on the city circle.

Therefore, the city circle has a total of 12 points when plotted on a scratch paper.

Learn more about circle here

https://brainly.com/question/28162977

#SPJ11



Use the number line to find the measure.


CF

Answers

Please provide the specific values for points C and F so that I can assist you in finding the measure of CF accurately.

To find the measure of CF on the number line, we need more information. The number line is a visual representation of numbers where each point corresponds to a specific value. The measure of a line segment on the number line is determined by the difference between the two endpoints.
If we know the coordinates of points C and F on the number line, we can find the measure of CF by subtracting the value of point C from the value of point F. For example, if C is located at 2 and F is located at 8, the measure of CF would be 8 - 2 = 6.

Read more about number line here:
https://brainly.com/question/32029748

#SPJ11

an airline records data on several variables for each of its flights: model of plane, amount of fuel used, time in flight, number of passengers, and whether the flight arrived on time. the number and type of variables recorded are

Answers

The airline records data on several variables for each flight, including the model of the plane, fuel used, flight time, number of passengers, and on-time arrival status.

The number and type of variables recorded by the airline for each of its flights include:

1. Model of Plane: This variable captures the specific model or type of aircraft used for the flight. It helps identify the characteristics and specifications of the aircraft, such as size, capacity, and performance.

2. Amount of Fuel Used: This variable measures the quantity of fuel consumed by the aircraft during the flight. It provides insights into fuel efficiency, cost analysis, and environmental impact.

3. Time in Flight: This variable records the duration of the flight from departure to arrival. It helps in analyzing flight schedules, operational efficiency, and planning for maintenance and crew scheduling.

4. Number of Passengers: This variable indicates the count of passengers onboard the flight. It is essential for capacity planning, revenue management, and analyzing passenger load factors.

5. Flight Arrival Status (On-time or Delayed): This variable captures whether the flight arrived on time or experienced a delay. It helps assess airline punctuality, performance, and customer satisfaction.

These variables provide valuable information to the airline for operational analysis, performance evaluation, and decision-making. They enable the airline to monitor and analyze various aspects of their flights, including aircraft performance, resource utilization, customer service, and overall operational efficiency. By collecting and analyzing data on these variables, the airline can identify patterns, trends, and areas for improvement, leading to better flight operations and customer experience.

Learn more about variables here

https://brainly.com/question/25223322

#SPJ11



Determine which capital letters of the alphabet have vertical and / or horizontal lines of reflection.

Answers

The capital letters of the alphabet that have vertical lines of reflection are H, I, and X. The capital letters that have horizontal lines of reflection are H, I, O, and X.

To determine which capital letters of the alphabet have vertical and/or horizontal lines of reflection, we need to consider the symmetry and orientation of the letters.

Vertical lines of reflection: The capital letters that have vertical lines of reflection are those that are symmetrical with respect to a vertical axis. In other words, if you fold the letter along a vertical line, the two halves will match perfectly. The letters H, I, and X have vertical lines of reflection.

Horizontal lines of reflection: The capital letters that have horizontal lines of reflection are those that are symmetrical with respect to a horizontal axis. If you fold the letter along a horizontal line, the two halves will match perfectly. The letters H, I, O, and X have horizontal lines of reflection.

It's important to note that some letters, like A, M, and T, have both horizontal and vertical lines of reflection. These letters are symmetrical along both axes.

Overall, the capital letters H, I, and X have vertical lines of reflection, while the letters H, I, O, and X have horizontal lines of reflection.

To learn more about reflection

brainly.com/question/15487308

#SPJ11

What is the shape of the distribution for the following set of data? scores: 1, 2, 3, 3, 4, 4, 4 5, 5, 5, 5, 6

Answers

The shape of the distribution for the given set of data is positively skewed.

A positively skewed distribution is characterized by a long tail on the right side of the distribution. In this case, the mode (most frequently occurring value) is 5, while the values 1, 2, 3, 4, and 6 have fewer occurrences. This creates a longer tail on the right side of the distribution, indicating a positive skew.

The data is skewed towards the higher end, or right-skewed with a higher frequency towards the higher scores.. The frequency decreases as we move towards the lower scores.

To know more about distribution refer here:

https://brainly.com/question/30011644

#SPJ11

For a rate of 6.5% compounded monthly, determine the (a) nominal rate, (b) periodic rate (round to 8 decimal places), and (c) APY

Answers

The nominal rate, periodic rate (round to 8 decimal places), and APY are 6.67047%, 0.53552453%, and 6.69589054%,

Given that the rate of 6.5% is compounded monthly. We need to determine (a) nominal rate, (b) periodic rate (round to 8 decimal places), and (c) APY.(a) Nominal rateNominal rate is the annual rate which is not compounded at any frequency. It is the rate which is stated on the contract or any other agreement. To determine the nominal rate, we use the following formula;Nominal rate = (1 + periodic rate/m)^m - 1

Where m is the number of times the rate is compounded in a year.Periodic rate = r = 6.5%/12 = 0.0054166667Nominal rate = (1 + 0.0054166667/12)^12 - 1Nominal rate = (1.0054166667)^12 - 1Nominal rate = 0.0667047365 or 6.67047%(b) Periodic ratePeriodic rate is the rate which is applied per period. It is also called as the effective rate per period.To determine the periodic rate, we use the following formula;Periodic rate = (1 + nominal rate)^(1/m) - 1Periodic rate = (1 + 0.0667047365)^(1/12) - 1Periodic rate = 0.0053552453 or 0.53552453%(c) APYAPY (Annual Percentage Yield) is the effective annual rate of return. It is also called as effective annual rate.

To determine the APY, we use the following formula;APY = (1 + periodic rate)^n - 1APY = (1 + 0.0053552453)^12 - 1APY = 0.0669589054 or 6.69589054%

for more search question nominal

https://brainly.com/question/14189587

#SPJ8

Find the x - and y-intercepts of the graph of the equation x²+y²=64.

Answers

The equation x² + y² = 64 represents a circle with its center at the origin and a radius of 8 units. The x-intercepts are(-8, 0) and (8, 0), and the y-intercepts are (0, -8) and (0, 8).

The equation x² + y² = 64 is in the standard form of a circle equation, where the center of the circle is at the origin (0,0) and the radius is the square root of the constant term, which is 8 in this case. The x-intercepts are the points where the circle intersects the x-axis. To find the x-intercepts, we set y = 0 in the equation and solve for x. Substituting y = 0, we get x² + 0² = 64, which simplifies to x² = 64. Taking the square root of both sides, we have x = ±8. Therefore, the x-intercepts are (-8, 0) and (8, 0).

Similarly, the y-intercepts are the points where the circle intersects the y-axis. To find the y-intercepts, we set x = 0 in the equation and solve for y. Substituting x = 0, we get 0² + y² = 64, which simplifies to y² = 64. Taking the square root of both sides, we have y = ±8. Therefore, the y-intercepts are (0, -8) and (0, 8).

In summary, the graph of the equation x² + y² = 64 is a circle centered at the origin with a radius of 8 units. The x-intercepts are (-8, 0) and (8, 0), while the y-intercepts are (0, -8) and (0, 8).

Learn more about equation of circle here:

https://brainly.com/question/29288238

#SPJ11

Find the x - and y-intercepts of the graphs of each function. If no intercept(s), type "none".
f(x)=∣−3x−2∣−1
x-intercept (s) at x = ___ (type as a list smallest to largest with commas between the values)
y-intercept(s) at y = ___

Answers

The function f(x) = | -3x - 2 | - 1 does not have any x-intercepts. The y-intercept occurs at y = -1.

To find the x-intercepts of a function, we need to determine the values of x where the function intersects the x-axis, meaning the corresponding y-values are zero. In the given function f(x) = | -3x - 2 | - 1, the absolute value term ensures that the expression inside the absolute value brackets is always non-negative. Since the expression -3x - 2 can never be zero, the absolute value term will always be greater than zero. Therefore, there are no values of x that make the function equal to zero, indicating that there are no x-intercepts.

To find the y-intercept, we set x to zero and evaluate the function. When x is zero, we have f(0) = | -3(0) - 2 | - 1 = |-2| - 1 = 2 - 1 = 1. Therefore, the y-intercept occurs at the point (0, 1), and we can express it as y = -1.

Learn more about  x-intercepts here:

https://brainly.com/question/32051056

#SPJ11

the record for the largest glass bottle was set in 1992 by a team in millville, new jersey—they blew a bottle with a volume of 193 u.s. fluid gallons.

Answers

The largest glass bottle on record was blown in 1992 by a team in Millville, New Jersey, with a volume of 193 U.S. fluid gallons.

The information provided states that the largest glass bottle ever made had a volume of 193 U.S. fluid gallons and was created in 1992 by a team in Millville, New Jersey. This indicates that, as of 1992, no other known glass bottle had surpassed the size of this particular bottle.

The fact that this record-setting bottle was blown in 1992 suggests that, up until that point, no larger glass bottle had been successfully created. It signifies that the team in Millville, New Jersey, achieved a milestone in glassblowing by producing a bottle with a volume of 193 U.S. fluid gallons, surpassing any previous records or known instances of such a large glass container. The mention of this specific record serves as a historical reference point for the largest glass bottle ever made.

Learn more about volume here: brainly.com/question/13338592

#SPJ11

Simplify each expression, and eliminate any negative exponents.
y².y⁻⁴
z⁹z⁻⁷z⁻⁸
y⁷y⁰/y¹⁷

Answers

The expression y²y⁻⁴ simplifies to y⁻², and z⁹z⁻⁷z⁻⁸ simplifies to z⁻⁶. Additionally, y⁷y⁰/y¹⁷ simplifies to y⁻¹⁰.

In the first expression, y²y⁻⁴, we can simplify by adding the exponents since we are multiplying like bases. The exponent of y² means we have y multiplied by itself twice, and the exponent of y⁻⁴ means we have y divided by itself four times. By subtracting the exponents, we get y²y⁻⁴ = y²-⁴ = y⁻².

Moving on to the second expression, z⁹z⁻⁷z⁻⁸, we apply the same rule of adding exponents. Combining the exponents, we have z⁹z⁻⁷z⁻⁸ = z⁹+⁻⁷+⁻⁸ = z⁻⁶.

Lastly, in the expression y⁷y⁰/y¹⁷, any number or variable raised to the power of zero equals 1, so y⁰ = 1. Dividing y⁷ by y¹⁷ can be simplified by subtracting the exponents: y⁷/y¹⁷ = y⁷-¹⁷ = y⁻¹⁰.

Therefore, the simplified expressions without negative exponents are y⁻², z⁻⁶, and y⁻¹⁰.

Learn more about expressions here:

https://brainly.com/question/14083225

#SPJ11

Suppose we know the homework scores in a particular (large) lecture class are Normally distributed with a mean of 82 and a standard deviation of 4.5. Based on this information, we can say that roughly 95% of students will be expected to have a homework score that falls between what two values?

Answers

Roughly 95% of students in the lecture class are expected to have a homework score that falls between 73.1 and 90.9. This interval represents the range within which the majority of students' scores are likely to lie.

In a normally distributed dataset, the empirical rule, also known as the 68-95-99.7 rule, states that approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. Given that the mean homework score is 82 and the standard deviation is 4.5, we can apply the empirical rule to determine the range of scores.

To find the range of scores within which 95% of students are expected to fall, we calculate two standard deviations above and below the mean. Two standard deviations below the mean is 82 - (2 * 4.5) = 73, and two standard deviations above the mean is 82 + (2 * 4.5) = 91. Therefore, we can say that roughly 95% of students are expected to have a homework score between 73 and 91.

It's important to note that the empirical rule provides an approximation and assumes a normal distribution. In reality, individual scores may deviate from this range, but the majority of scores are expected to fall within it.

Learn more about Range here:

https://brainly.com/question/12777994

#SPJ11



∠6 and ∠7 form linear pair. If m∠6=3 x+32 and m∠ 7=5 x+12 , find x, m∠6 , and m∠7 . Justify each step.

Answers

The value of x is 17. Therefore, m∠6 = 83 and m∠7 = 97.

To find the value of x and the measures of angles ∠6 and ∠7, we'll use the information that ∠6 and ∠7 form a linear pair.

A linear pair consists of two adjacent angles that are supplementary, meaning their measures add up to 180 degrees.

Let's set up the equation:

m∠6 + m∠7 = 180

Substituting the given measures:

3x + 32 + 5x + 12 = 180

Combining like terms:

8x + 44 = 180

To solve for x, we'll isolate the variable:

8x = 180 - 44

8x = 136

Dividing both sides by 8:

x = 136 / 8

x = 17

Now we can find the measures of angles ∠6 and ∠7 by substituting the value of x into their respective equations:

m∠6 = 3(17) + 32 = 51 + 32 = 83

m∠7 = 5(17) + 12 = 85 + 12 = 97

Therefore, x = 17, m∠6 = 83, and m∠7 = 97.

To know more about linear pairs, refer here:

https://brainly.com/question/1757859#

#SPJ11

Aluminum has a density of 2.7 g/mc3, what is the mass of aluminum with a volume of 1.50cm3

Answers

The mass of aluminum with a volume of 1.50 cm³ is 4.05 grams.

To find the mass of aluminum with a volume of 1.50 cm³, we can use the formula:

Mass = Density x Volume

Given that the density of aluminum is 2.7 g/cm³ and the volume is 1.50 cm³, we can substitute these values into the formula:

Mass = 2.7 g/cm³ x 1.50 cm³

Multiplying these values, we find:

Mass = 4.05 g

Therefore, the mass of aluminum with a volume of 1.50 cm³ is 4.05 grams.

Visit here to learn more about volume brainly.com/question/28058531

#SPJ11

A sculptor is making scale models of famous stone landmarks. if the original landmark weighs 63 tons and his model is to be
determine how many tons his completed sculpture will be
to
scale, solve the equation 10x = 63 to
express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places.

Answers

To determine the weight of the completed sculpture, which is a scale model of a landmark weighing 63 tons, we solve the equation 10x = 63. The solution will provide the weight of the completed sculpture in tons.

The equation 10x = 63 represents the scale factor between the weight of the original landmark and the weight of the completed sculpture. To find the weight of the completed sculpture, we need to solve for x. Dividing both sides of the equation by 10, we have x = 6.3.

This means that the weight of the completed sculpture will be 6.3 tons. The solution can be expressed as a decimal rounded to two places or as a simplified fraction, such as 6 3/10.

Learn more about Sculpture here :

brainly.com/question/32190138

#SPJ11

It is May 1. You have just bought $1,800 worth of furniture. You will pay for it in 24 equal monthly payments, starting at the end of May next year. Interest is 8% nominal per year, compounded monthly. How much will your payment be? (Round your answer to the nearest cent eg. XX.XX)

Answers

The monthly payment for the furniture will be approximately $85.08.

To calculate the monthly payment for the furniture purchase, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:

P is the monthly payment

r is the monthly interest rate

PV is the present value of the loan (the purchase price of the furniture)

n is the number of monthly payments

First, we need to calculate the monthly interest rate. The nominal interest rate is given as 8% per year, compounded monthly. So the monthly interest rate (r) is (8% / 12) = 0.08 / 12 = 0.0067.

The present value (PV) of the loan is the purchase price of the furniture, which is $1,800.

The number of monthly payments (n) is 24.

Now we can plug these values into the formula and calculate the monthly payment (P):

P = (0.0067 * 1800) / (1 - (1 + 0.0067)^(-24))

P ≈ $85.08

Therefore, your monthly payment for the furniture will be approximately $85.08.

Learn more about payment here: https://brainly.com/question/27628990

#SPJ11

Two cars leave a rest stop at the same time and proceed to travei down the highway in the same direction. One travels at an average rate of 59 miles per hour, and the other at an average rate of 63 , miles per hour. How far apart are the two cars after 7 hours?

Answers

The two cars are 28 miles apart after 7 hours.

To find the distance between the two cars after 7 hours, we can calculate the distance each car has traveled and then find the difference between the two distances. Car 1 travels at an average rate of 59 miles per hour for 7 hours: Distance traveled by Car 1 = Rate × Time = 59 miles/hour × 7 hours = 413 miles. Car 2 travels at an average rate of 63 miles per hour for 7 hours:Distance traveled by Car 2 = Rate × Time = 63 miles/hour × 7 hours = 441 miles.The difference in distance between the two cars after 7 hours is: Distance between the two cars = Distance traveled by Car 2 - Distance traveled by Car 1 = 441 miles - 413 miles

                                      = 28 miles.

Therefore, the two cars are 28 miles apart after 7 hours.

Learn more about average rate here :

https://brainly.com/question/1312578

#SPJ11

Find the solution to the initial value problem 2y
′′
−5y

−3y=0;y(0)=−3,y

(0)=1 and sketch a graph of the solution. Using a graphing utility for making sketches is fine, but you must show all work in determining the solution to receive credit.

Answers

The solution to the initial value problem 2y'' - 5y' - 3y = 0, with initial conditions y(0) = -3 and y'(0) = 1, is given by [tex]y(x) = 2e^{3*x}-3e^{-x}[/tex] The graph of the solution will exhibit exponential growth and decay.

To solve the given initial value problem, we assume the solution has the form [tex]y(x)=e^{rx}[/tex] and substitute it into the differential equation. We obtain the characteristic equation:

[tex]2r^{2} - 5r -3 =0[/tex]

Factoring the quadratic equation, we get:

(2r + 1)(r - 3) = 0

Solving for r, we find two distinct roots: r = [tex]-\frac{1}{2}[/tex] and r = 3.

Therefore, the general solution to the differential equation is given by:

[tex]y(x) = c_{1} e^{1/2x} + c_{2} e^{3x}[/tex]

To find the particular solution, we use the initial conditions. Applying y(0) = -3, we have:

c₁ + c₂ = -3          (Equation 1)

Next, we differentiate y(x) to find y'(x):

[tex]y'(x) = -\frac{1}{2} c_{1} e^{-\frac{1}{2x} } + 3c_{2} e^{3x }[/tex]

Applying y'(0) = 1, we have:

[tex]-\frac{1}{2} c_{1} + 3c_{2} =1[/tex]  (Equation 2)

Solving Equations 1 and 2 simultaneously, we find c₁ = -2 and c₂ = -1.

Therefore, the particular solution is:

[tex]y(x) = -2e^{(-1/2x)} - e^{3x}[/tex]

Simplifying further, we get:

[tex]y(x)=2e^{3x}-3e^{-x}[/tex]

The graph of the solution will exhibit exponential growth as the term [tex]2e^{3x}[/tex] dominates and exponential decay as the term [tex]-3e^{-x}[/tex] takes effect.

Learn more about differential equation here : https://brainly.com/question/32645495

#SPJ11



Write a coordinate proof of each statement.

The diagonals of a rectangle are congruent.

Answers

The diagonals of rectangle are congruent.

Here,

Using a rectangle with the lettering ABCD

The diagonal AC divide the rectangle into two right angled triangles

∠ADC = 90⁰

In the rectangle, AD=BC and AB=CD

Also, The same diagonal AC has another right angled triangle ABC with ∠ABC=90⁰

Similarly, diagonal BD divides the rectangle into two right angled triangles of ΔBAD and ΔBCD with a common hypothenuse of  BD

Hence AB=CD and AD= BC

Therefore, the two diagonals are congruent

Learn more about congruent lines,

brainly.com/question/2305152

#SPJ4

Let f(x) = 2x−5, g(x) = 4x−1, and h(x) = x²+x+2. Evaluate h(f(g(2))).
a) 7 go to station 2
b) 9 go to station 10
c) 29 go to station 9
d) 43 go to station 8
e) 92 go to station 1

Answers

The value of h(f(g(2))) evaluates to 92.

The correct option is e) 92.

Given:

f(x) = 2x - 5

g(x) = 4x - 1

h(x) = x² + x + 2

First, let's find g(2):

g(2) = 4(2) - 1

    = 8 - 1

    = 7

Now, substitute g(2) into f(x):

f(g(2)) = f(7)

        = 2(7) - 5

        = 14 - 5

        = 9

Finally, substitute f(g(2)) into h(x):

h(f(g(2))) = h(9)

           = (9)² + 9 + 2

           = 81 + 9 + 2

           = 92

Learn more about Functions here:

brainly.com/question/31062578

#SPJ11

If sin(θ)=−3/8 and θ is in the 3rd quadrant, find the exact value of cos(θ).

Answers

Given that sin(θ) = -3/8 and θ is in the 3rd quadrant, we can find the exact value of cos(θ). The exact value of cos(θ) is [tex]\sqrt{\{55}}[/tex]

Explanation:

In the 3rd quadrant, both sine and cosine are negative. We know that sin(θ) = -3/8, which means the opposite side of the right triangle formed by θ has a length of -3 and the hypotenuse has a length of 8. Since cosine is the ratio of the adjacent side to the hypotenuse, we can use the Pythagorean theorem to find the length of the adjacent side.

Let's assume the adjacent side is represented by 'x'. According to the Pythagorean theorem, we have:

(8)^2 = x^2 + (-3)^2

64 = x^2 + 9

x^2 = 55

x = √55

Since θ is in the 3rd quadrant, cosine is negative. Therefore, cos(θ) = -√55.

Therefore, the exact value of cos(θ) is -√55.

Learn more about pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ11

Refer to the readings on Bayesian Analysis in ch.11, pp. 530-531. In the formula for P(IC∣D) on p.521, the DENOMINATOR represents P(C) P(C,IC) P(D) P(IC)

Answers

The denominator in the formula for P(IC∣D) represents the product of several probabilities: P(C), P(C,IC), P(D), and P(IC). This denominator is derived from the application of Bayes' theorem in Bayesian analysis.

It is used to calculate the posterior probability of the hypothesis IC (Hypothesis of Interest given Data) given the observed data D.

The formula for P(IC∣D) is given by:

P(IC∣D) = [P(C∣IC) P(IC)] / [P(C) P(C,IC) + P(~C) P(~C,IC)]

In this formula, the numerator represents the prior probability P(IC) multiplied by the conditional probability P(C∣IC). The denominator represents the joint probabilities of C and IC occurring together, as well as the joint probabilities of ~C (not C) and IC occurring together, weighted by the respective probabilities of C and ~C.

By dividing the numerator by the denominator, we obtain the posterior probability of IC given the observed data D, which allows for inference and decision-making based on Bayesian analysis.

Learn more about numerator here

brainly.com/question/7067665

#SPJ11

Susan can make 4 Sweaters or 6 pairs of Pants in one day and Tom can make 8 pairs of Pants or 6 Sweaters in one day. Answer the following questions: a. Who has absolute advantage in making Sweaters?
b. Who has absolute advantage in making a pair of Pants?

c. Who has comparative advantage in making Sweaters?

d. Who has comparative advantage in making a pair of Pants?

Answers

a. Tom has the absolute advantage in making sweaters. b. Tom has the absolute advantage in making a pair of pants. c. Tom has the comparative advantage in making sweaters. d. Susan has the comparative advantage in making a pair of pants.

To determine who has absolute and comparative advantage in making sweaters and pants, we compare the production capabilities of Susan and Tom.

a. Absolute advantage in making sweaters:

Susan can make 4 sweaters in one day, while Tom can make 6 sweaters in one day. Therefore, Tom has the absolute advantage in making sweaters.

b. Absolute advantage in making a pair of pants:

Susan can make 6 pairs of pants in one day, while Tom can make 8 pairs of pants in one day. Therefore, Tom has the absolute advantage in making a pair of pants.

c. Comparative advantage in making sweaters:

To determine comparative advantage, we compare the opportunity cost of producing each item. The opportunity cost is the amount of one good that must be given up to produce an additional unit of another good.

For Susan, the opportunity cost of making 1 sweater is 6/4 = 1.5 pairs of pants.

For Tom, the opportunity cost of making 1 sweater is 8/6 = 1.33 pairs of pants.

Since Tom has a lower opportunity cost (1.33 pairs of pants) compared to Susan (1.5 pairs of pants), Tom has the comparative advantage in making sweaters.

d. Comparative advantage in making a pair of pants:

For Susan, the opportunity cost of making 1 pair of pants is 4/6 = 0.67 sweaters.

For Tom, the opportunity cost of making 1 pair of pants is 6/8 = 0.75 sweaters.

Since Susan has a lower opportunity cost (0.67 sweaters) compared to Tom (0.75 sweaters), Susan has the comparative advantage in making a pair of pants.

Learn more about opportunity cost here:

https://brainly.com/question/32971162

#SPJ11

Words: Ached Concentrate Discovery Educated Effort Improved Inspired Satisfied

Answers

Improved concentration is a result of educated efforts, leading to the discovery of inspiring words that satisfy the ache for growth and progress.

Concentration plays a crucial role in enhancing productivity and achieving success. When one's ability to concentrate improves, it becomes easier to focus on tasks at hand and delve deeper into the subject matter.

This improvement is not a mere coincidence but a result of deliberate and educated efforts. By employing various techniques such as time management, minimizing distractions, and practicing mindfulness, individuals can train their minds to concentrate better.

During the process of developing concentration skills, one may come across a variety of words that inspire and motivate. These words act as catalysts, triggering a desire for growth and progress. When exposed to meaningful and impactful words, individuals can feel a sense of inspiration that propels them forward.

These words have the power to ignite passion, instill determination, and awaken creativity. The discovery of such words acts as a driving force, reminding individuals of their goals and aspirations, and helping them stay focused on their journey of self-improvement.

As concentration improves and inspiring words are discovered, individuals experience a satisfying sense of accomplishment. The ache for personal and professional growth finds solace in the progress made through educated efforts.

With improved concentration, individuals can delve deeper into their studies, work on complex projects, or pursue their passions with unwavering dedication. This satisfaction stems from the knowledge that their hard work and commitment have paid off, resulting in tangible advancements and personal development.

In conclusion, the path to improved concentration begins with educated efforts and leads to the discovery of inspiring words. These words serve as sources of motivation, fueling the desire for progress and growth.

As individuals concentrate better, they experience a satisfying sense of accomplishment, knowing that their efforts have yielded positive outcomes. By continuously honing their concentration skills and seeking inspiration through words, individuals can unlock their full potential and achieve their goals.

Learn more about potential here:

https://brainly.com/question/32540812

#SPJ11

Other Questions
If you were to infuse a patient with a 0.45% w/v saline solution, which direction would you expect water to move across membranes of the red blood cells (RBCS) in the immediate vicinity of the I.V. needle (i.e., RBCs exposed to the I.V. solution)? Water would flow into the RBCs potentially causing cell rupture Water would flow out of the RBCs potentially causing cells to pucker/shrivel up Water flow would be in equilibrium with no net change of water flowing in or out of RBCs in Paris saw a man sitting on a stoop and holding a cup. she assumed that he was a homeless person soliciting money from passers-by. this exemplifies? Zelda has a utility function u(x,y)=min{0.2x,1.5y}, for baskets containing the goods x and y. What is Zelda's utility if she consumes a basket where (x,y)=(20.5, 26)? 0.3 1.5 3.9 4.1 A consumer prefers to consume exactly 1 unit of x with each unit of y. If the price of x is $15 and the price of y is $5, and she has income of $250, what is the optimal amount of good x to consume? 14.5 9.5 11.0 12.5 QUESTIONS THAT FOLLOW (Justify your answer, Show your calculations) QUESTION 3 [40 MARKS] LARGESSE, a Packaging company has four department: Sorting (S), Counting (C), Packing (P), and Bailing (B) categorised to four departments. The operations manager has gathered the following data for this job shop. Several hundreds of photos are processed each year. Table 1 Table 2 Table 1 Shows the kgs of Packages moved between the departments Table 2 shows the Distances Between Work Areas (Departments) in meters The average cost of moving a kg of package in a distance of 1 meter within the job shop (between the departments) is Zar 0.50 (fifty cents). Mark is determined to find a layout that has the lowest material handling cost. 3.1 I Jsina the data diven above. determine the cost of the current lavout Describe in two paragraphs, an ethical failure youve witnessed in your professional life (one paragraph). If you were in that persons shoes, what would you have done (paragraph two)? Two paragraphsthe situation and what you would have/could have done The french thinker who explored types of power in social and religious institutions and systems of thought that oppressed minority and other marginalized groups was? i. separating recyclables from regular waste before incineration ii. using incinerator ash in the construction of roads iii. incinerators that use refuse-derived fuels (rdf) iii only i and ii i and iii i, ii, and iii Provide your opinion of how marketing has been used in international sporting goods companies e.g. nike (or other brands) as a source of competitive advantage, and, what area of the marketing mix (strengths) would you focus on in this industry in terms of their competitive/marketing strategy in the future Please write approximately 500 words, would really help Thank You!! Daniel Jackson is saving for an Australian vacation in three years. He estimates that he will need $4,530 to cover his airfare and all other expenses for a week-long holiday in Australia. If he can invest his money in an S\&P 500 equity index fund that is expected to earn an average annual return of 9.30 percent over the next three years, how much will he have to save every year if he starts saving at the end of this year? (Round factor values to 4 decimal places, e.g. 1.5212 and final answer to 2 decimal places, e.g. 15.25.) 1) describe two questions that focus on two different levels ofecological scale (Individual through Biosphere).2) Can two species occupy the same niche indefinetely? This is ashort answer question, If Beijerinck had observed that the infection of each group was weaker than that of the previous group and that ultimately the sap could no longer cause disease, what might he have concluded? What is the difference between an operating (working) interest and a nonoperating (nonworking) interest? Research a Career in the field of IT. Here are some samples: Web-master, Software engineer, Computer technician, Network administrator, etc... Explain what they do, their salaries and why you chose this particular title of job. If a force is applied to the end b of the member and causes a normal strain in the cable of 0.00461 mm/mm, determine the displacement of point b. is huck aware that many of the details in the drawings are clichs? what do the clichs contribute to the humor of the passage? Mr. Kim purchased a vacant land for 6,000,000 baht and the building construction costs is 10,500,000 baht 5 years ago. The depreciation cost of building is 350,000 baht per year. The investor's require rate of return is 12.5% and the investor wants to sell the property at the end of year 5. Best case: Mr. Kim borrowed money 70% of total value with 6.5% interest rate for 30 yrs with monthly payment. The current sale price is estimated for 20,800,000 with selling expense 3.5%. Tax is 32%. ATCF (After Tax Cash Flow) Year1 is expected to be 1,050,000 and expected to increase 5% every year. Base case: Mr. Kim borrowed money 70% of total value with 10% interest rate for 30 yrs with monthly payment. The current sale price is estimated for 18,900,000 with selling expense 7%. Tax is 32% The ATCF year1 is expected to be 885,750 and expected to increase 3.5% every year. Worst case: Mr. Kim borrowed money 70% of total value with 12.5% interest rate for 30 yrs with monthly payment. The current sale price is estimated for 17,999,000 with selling expense 7%. Tax is 33% The ATCF year1 is expected to be 782,000 and expected to increase 1.5% every year. Best case 25%, Base case 60%, Worst case 15% Questions: 1.What is the expected IRR of the investment? 2.What is the standard deviation of IRR? 3.What is the coefficient of variation? 4.What is the expected NPV of the investment? 5.What is the standard deviation of NPV? 6.What is the coefficient of variation? 7.If the alternative investment offers a range of IRR at 22%-30% with the price of 1,790,000 Baht, what is your suggestion for Mr. Kim? cable ab passes over the small ideal pulley c without a change in its tension. what length of cable cd is required for static equilibrium in the position shown? what is the tension tin cable cd? How does the high specific heat of water influence how quickly water warms? Derek will deposit $676.00 per year into an account starting today and ending in year 20.00. The account that earns 6.00%. How much will be in the account 20.0 years from today? Answer format: Currency:Round to: 2 decimal places.Please show the input for finance calculator Sun Devil Hair Design has the following transactions during the month of February. February 2 Pay $650 for radio advertising for February. February 7 Purchase beauty supplies of $1,250 on account. February 14 Provide beauty services of $2,650 to customers and receive cash. February 15 Pay employee salaries for the current month of $850. February 25 Provide beauty services of $950 to customers on account. February 28 Pay utility bill for the current month of $250. Required: Record each transaction. Sun Devil uses the following accounts: Cash, Accounts Receivable, Supplies, Accounts Payable, Service Revenue, Advertising Expense, Salaries Expense, and Utilities Expense. (If no entry is required for a transaction/event, select "No Journal Entry Required" in the first account field.) Journal entry worksheet 5 Pay $650 for radio advertising for February. Note: Enter debits before credits. Journal entry worksheet Purchase beauty supplies of $1,250 on account. Note: Enter debits before credits. Journal entry worksheet 6 Provide beauty services of $2,650 to customers and receive cash. Note: Enter debits before credits. Journal entry worksheet 1 Pay employee salaries for the current month of $850. Note: Enter debits before credits. Journal entry worksheet Provide beauty services of $950 to customers on account. Note: Enter debits before credits. Journal entry worksheet