Using polar coordinates, evaluate the integral which gives the area which lies in the first quadrant between the circles x^2+y^2=144 and x^2-12x+y^2=0

The exponential function that represents the graph is given as follow:

y = 2^(x - 1) + 2.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

The function in this problem has a horizontal asymptote at y = 2, hence:

y = ab^x + 2.

When x increases by one, y is multiplied by two, hence the parameters a and b can given as follows:

a = 1, b = 2.

The function is translated one unit right, hence it is defined as follows:

y = 2^(x - 1) + 2.

More can be learned about exponential functions at brainly.com/question/2456547

#SPJ1

If the corners of the kitchen are (8, 4), (−3, 4), (8, −8), and (−3, −8), the area of the kitchen is 132 square feet. So, the correct option is C.

To find the area of the rectangular kitchen, we need to use the formula for the area of a rectangle, which is A = L x W, where A is the area, L is the length, and W is the width.

From the given ordered pairs, we can determine the length and width of the rectangle. The length is the distance between the points (8,4) and (-3,4), which is 8 - (-3) = 11 feet. The width is the distance between the points (8,4) and (8,-8), which is 4 - (-8) = 12 feet.

Now that we know the length and width, we can find the area by multiplying them together:

A = L x W = 11 x 12 = 132 square feet

Therefore, the correct answer is C.

To learn more about area click on,

https://brainly.com/question/31335893

#SPJ1

Answer    C. 132 fT2  

Step-by-step explanation:

Direct financial payments to employees include overtime pay, commissions, and profit-sharing.

Global similarities and differences in HR:

Globalization has led to the spread of HR practices and policies across countries, resulting in both similarities and differences in HR. The similarities in HR practices across the globe include:

Recruitment and selection: Most organizations use some form of recruitment and selection process to hire employees, although the specific methods and criteria used may vary across countries.

Training and development: Organizations invest in training and development to improve employee skills and productivity, although the types of training programs and methods used may vary across countries.

Performance management: Most organizations have some form of performance management process to evaluate and reward employees, although the specific methods and criteria used may vary across countries.

The differences in HR practices across the globe include:

Legal and regulatory environment: The legal and regulatory environment in each country can significantly affect HR practices, including labor laws, tax laws, and employment regulations.

Cultural differences: HR practices can be influenced by cultural differences across countries, including attitudes toward work, management styles, and communication styles.

Economic factors: Economic factors such as labor market conditions, wage levels, and cost of living can influence HR practices in different countries.

How to prevent accidents:

Preventing accidents in the workplace is essential for maintaining a safe and healthy work environment. Here are some ways to prevent accidents:

Conduct regular safety training: Provide safety training to employees to educate them on the hazards in the workplace and how to avoid them.

Implement safety procedures: Develop and enforce safety procedures for all tasks and equipment to ensure that employees are following safe practices.

Provide personal protective equipment: Provide employees with appropriate personal protective equipment (PPE) to minimize the risk of injury or illness.

Conduct regular safety inspections: Regularly inspect the workplace to identify potential hazards and address them before they cause an accident.

Encourage reporting: Encourage employees to report any safety concerns or incidents, so that they can be addressed promptly.

The effect of employee transfer to family life:

Employee transfers can have a significant impact on the employee's family life, especially if the transfer involves relocating to a new city or country. The effects of employee transfer on family life can be both positive and negative. Some positive effects of employee transfer on family life include:

Exposure to new cultures: The transfer can provide an opportunity for the employee and their family to experience new cultures and learn new languages.

Career growth: The transfer can provide the employee with an opportunity for career growth and advancement.

Some negative effects of employee transfer on family life include:

Disruption of family routines: The transfer can disrupt the family's routine, including their children's education and social lives.

Emotional stress: The transfer can cause emotional stress on the family, especially if they have to leave behind friends and family.

Two ways to make direct financial payments to employees:

Direct financial payments to employees can take different forms. Here are two ways to make direct financial payments to employees:

Salary: Salary is a fixed amount of money paid to an employee on a regular basis, usually monthly or bi-weekly.

Bonus: A bonus is an additional payment made to employees, usually as a reward for exceptional performance or as an incentive to achieve certain goals.

Other examples of direct financial payments to employees include overtime pay, commissions, and profit-sharing.

To learn more about Disruption visit:

https://brainly.com/question/6330315

#SPJ11

Determine the interest payments for these three bonds. Here's a step-by-step explanation for each bond:

a. 3.80% coupon corporate bond (paid semiannually):
1. Convert the annual coupon rate to a semiannual rate: 3.80% / 2 = 1.90%
2. Calculate the interest payment: $1,000 (par value) * 1.90% (semiannual rate) = $19.00

The semiannual interest payment for the 3.80% coupon corporate bond is $19.00.

b. 4.55% coupon Treasury note:
1. As Treasury notes typically pay interest semiannually, we'll convert the annual coupon rate to a semiannual rate: 4.55% / 2 = 2.275%
2. Calculate the interest payment: $1,000 (par value) * 2.275% (semiannual rate) = $22.75

The semiannual interest payment for the 4.55% coupon Treasury note is $22.75.

c. Corporate zero coupon bond maturing in ten years:
Zero coupon bonds do not pay periodic interest. Instead, they are sold at a discount to their par value and mature at their full par value. In this case, there's no interest payment to calculate, as the bondholder will receive the $1,000 par value at the end of the ten-year maturity period.

To learn more about Interest payment - brainly.com/question/13914148

#SPJ11

The equality statement is False (b) 7= -(-(7)).

The expression on the right side of the equation simplifies to -(-7), which is equal to 7, making the statement untrue. Therefore, 7=-(-7) should be used as the right equality declaration.

In other words, 7 is equal to the opposite of -(-7)

The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. Mathematical operations like addition, subtraction, multiplication, and division are combined with variables like x, y, and z to produce a meaningful mathematical expression.

The associative, commutative, and distributive laws are the three fundamental principles of algebra. They facilitate the simplification or solution of problems and aid in illustrating the connection between different number operations.

To Learn more about Function visit:

https://brainly.com/question/31011913

#SPJ4

Answer:

c

Step-by-step explanation:

c is correct

Answer: 2xy

Step-by-step explanation:

you need the biggest factor that goes into

The expected profit or loss is $21,094.50, rounded to the nearest hundredth

Here's the step-by-step explanation using the provided information:

Step 1: Identify the profit and loss values and their respective probabilities.
Profit: $32,604 with a probability of 0.7
Loss: -$5,761 with a probability of 0.3

Step 2: Calculate the expected profit or loss using the formula:
[tex]\frac{Expected profit/loss}{loss} = (Profit * Probability of profit) + (Loss * Probability of Loss)[/tex]

Step 3: Plug in the values into the formula:
[tex]\frac{Expected profit}{loss}  = ($32,604 * 0.7) + (-$5,761 * 0.3)[/tex]

Step 4: Perform the calculations:
[tex]\frac{Expected profit}{loss}  = ($22,822.8) + (-$1,728.3)[/tex]

Step 5: Add the results to find the expected profit or loss:
[tex]\frac{Expected profit}{loss}  = $21,094.5[/tex]

So, the expected profit or loss is $21,094.50, rounded to the nearest hundredth.

To know more about "Probability" refer here:

https://brainly.com/question/30034780#

#SPJ11

The statement Catching the 8:05 bus is a sufficient condition for my being on time for work can be written as if a, then b, where, a is the case where I catch the 8:05 bus and b is the case where I reach the office on time.

Here we have been given that the sufficient condition for my being on time for work is catching the 8:05 bus.

Whenever we are denoting to cases say x and y, we say x being a sufficient condition for y by the notation

y ⇒ x

Here, let there be cases a and b

a is the case where I catch the 8:05 bus and

b is the case where I reach the office on time

Since a is a sufficient condition for b, we can write

a ⇒ b

In the If- then form, we say

If a, then b.

To learn more about Conditional Statements visit

https://brainly.com/question/18575521

#SPJ4

To solve this problem, we need to use the given function to find the length of a fish that weighs 250 grams. We can do this by setting the weight of the fish (w) to 250 grams and solving for the length of the fish (L):

w = 0.034213 L

250 = 0.034213 L

L = 250 / 0.034213

L ≈ 7304.4

Rounding to the nearest tenth of a centimeter, the approximate length of the fish is:

L ≈ 730.4 centimeters

Learn more about function ,

https://brainly.com/question/12431044

#SPJ4

1. The instantaneous rate of change in the amount after 2 years is [tex]$1,605.64[/tex] per year

2. The instantaneous rate of change in the amount at the time the amount is equal to [tex]$14,101[/tex] is approximately $994.78 per year

[tex]A = P[/tex]× [tex]e^{rt}[/tex]

where P is the principal (initial investment), r is the annual interest rate as a decimal, and t is the time in years.

For this problem, we have P = $10,000, r = 0.067 (6.7% as a decimal), and we want to find the instantaneous rate of change in the amount after 2 years, so t = 2.

Part 1:

To find the instantaneous rate of change, we need to take the derivative of the function A(t) with respect to t:

[tex]dA/dt = Pre^{rt}[/tex]

At[tex]t = 2[/tex], we have:

[tex]A(2) = $10,000e^{0.0672}[/tex]

[tex]= $11,868.94[/tex]

[tex]dA/dt = $10,0000.067e^{0.067}[/tex]×[tex]2)[/tex]

[tex]= $1,605.64[/tex]

So the instantaneous rate of change in the amount after 2 years is $1,605.64 per year

Part 2:

To find the time at which the amount in the account is $14,101, we need to solve the equation A = $14,101 for t:

[tex]$14,101[/tex][tex]= $10,000[/tex] × [tex]e^{0.067t}[/tex]

Dividing both sides by $10,000:

[tex]1.4101 = e^{0.067t}[/tex]

Taking the natural logarithm of both sides:

[tex]ln(1.4101) = 0.067t[/tex]

Solving for t:

[tex]t = ln(1.4101)/0.067[/tex]

≈ [tex]3.5 years[/tex]

So the time at which the amount in the account is $14,101 is approximately 3.5 years.

To find the instantaneous rate of change at this time, we need to evaluate the derivative at t = 3.5:

[tex]dA/dt = $10,0000.067e^{0.067}[/tex]×[tex]3.5)[/tex]

≈ [tex]$994.78[/tex]

So the instantaneous rate of change in the amount at the time the amount is equal to $14,101 is approximately $994.78 per year

Compound interest is the interest you earn on interest. This can be illustrated by using basic math: if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25

To know more about compound interest visit:

https://brainly.com/question/29335425

#SPJ4

The exact values of the cosecant, secant, and cotangent ratios of -7pi/4 radians are -√(2), -√(2), and 1.

Here are the exact values of the cosecant, secant, and cotangent ratios of -7π/4 radians:

The cosecant of an angle is equal to the length of the hypotenuse of a right triangle with that angle as its opposite side, divided by the length of the opposite side. The formula for cosecant is cosec(θ) = 1/sin(θ).

In this case, the sine of -7π/4 radians is -√(2)/2, so the cosecant is -2/√(2), which simplifies to -√(2).

The secant of an angle is equal to the length of the hypotenuse of a right triangle with that angle as its adjacent side, divided by the length of the adjacent side. The formula for secant is sec(θ) = 1/cos(θ).

In this case, the cosine of -7π/4 radians is -√(2)/2, so the secant is -2/√(2), which simplifies to -√(2).

The cotangent of an angle is equal to the length of the adjacent side of a right triangle with that angle as its opposite side, divided by the length of the opposite side.

The formula for cotangent is cot(θ) = 1/tan(θ). In this case, the tangent of -7π/4 radians is 1, so the cotangent is 1.

To know more about radians here

https://brainly.com/question/7721249

#SPJ1

we can say with 95% confidence that the proportion of all consumers who prefer to purchase domestic automobiles is between 0.354 and 0.446.

To develop a 95% confidence interval for the proportion of all consumers who prefer to purchase domestic automobiles, we can use the formula:

CI = p ± z*(√(p*(1-p)/n))

where:

p = proportion of consumers who prefer domestic automobiles = 240/600 = 0.4
n = sample size = 600
z = z-score for 95% confidence level = 1.96

Plugging in the values, we get:

CI = 0.4 ± 1.96*(√(0.4*(1-0.4)/600))
  = 0.4 ± 0.046
  = (0.354, 0.446)

Therefore, we can say with 95% confidence that the proportion of all consumers who prefer to purchase domestic automobiles is between 0.354 and 0.446.

learn more about  confidence interval

https://brainly.com/question/24131141

#SPJ11

We can conclude that for all integers a and b, if a|b, then a ≤ b.

To prove that for all m and n, if m ≠ n, then m+n ≠ Q, we will use proof by contradiction.

Assume that for some m and n, m ≠ n, and m+n = Q, where Q is a rational number. By the definition of a rational number, Q can be expressed as the ratio of two integers, p and q, where q ≠ 0.

Thus, we have:

m + n = p/q

Multiplying both sides by q, we get:

mq + nq = p

Rearranging, we get:

mq = p - nq

Since p, n, and q are integers, p - nq is also an integer. Therefore, mq is an integer.

But we know that m and n are integers and m ≠ n, which implies that m and n have different prime factorizations. Therefore, mq cannot be an integer, as it would require m and q to have a common factor, which is not possible.

This contradicts our assumption that m+n = Q, and hence, we can conclude that for all m and n, if m ≠ n, then m+n ≠ Q.

To prove that for all integers a and b, if a|b, then a ≤ b, we will use direct proof.

Assume that a and b are integers such that a|b, i.e., there exists an integer k such that b = ak.

To prove that a ≤ b, we need to show that a is less than or equal to k times a, i.e., a ≤ ka.

Dividing both sides of the equation b = ak by a (which is possible as a ≠ 0 since it is a divisor of b), we get:

b/a = k

Since k is an integer, we know that b/a is also an integer. Therefore, a must be less than or equal to b/a.

Multiplying both sides of the inequality a ≤ b/a by a (which is a positive number since a > 0), we get:

[tex]a^2 ≤ ab[/tex]

Since a and b are both positive integers, we know that [tex]a^2 ≤[/tex] ab implies that [tex]a ≤ b[/tex].

Therefore, we can conclude that for all integers a and b, if a|b, then a ≤ b.

To learn more about definition visit:

https://brainly.com/question/13042074

#SPJ11

The alternating series test can be used to show convergence of the alternating series I, II, and III given in the options and the correct answer to this question is Option A. I only.

The alternating series test is a method used to determine the convergence or divergence of alternating series. According to the alternating series test, an alternating series converges if the absolute value of its terms decreases monotonically to zero. In other words, if the absolute value of the terms in an alternating series eventually becomes smaller and smaller until it is less than or equal to a certain positive number, then the series converges.

In conclusion, the alternating series test can be used to show the convergence of series I and III, but not for series II. Therefore, the answer is (A) I only.

To learn more about the Alternating series, visit:

https://brainly.com/question/17011687

#SPJ11

The value of the expression is 5.

We have,

(|-52 + 1| (-1) + 4²) / (-84 ÷ 7 + 5)

Now,

PEMDAS is an acronym used to remember the order of operations in arithmetic and algebraic expressions. It stands for:

Parentheses: Simplify expressions inside parentheses first.

Exponents: Simplify any expressions involving exponents or powers.

Multiplication and Division: Perform multiplication and division in order from left to right.

Addition and Subtraction: Perform addition and subtraction in order from left to right.

Now,

(|-52 + 1| (-1) + 4²) / (-84 ÷ 7 + 5)

We solve | | first and exponents second.

|-52 + 1| = |-51| = 51

4² = 16

And,

-84 ÷ 7 = -84/7 = -12

So,

(|-52 + 1| (-1) + 4²) / (-84 ÷ 7 + 5)

= 51 x -1 + 16 / -12 + 5

= -51 + 16 / -12 + 5

= -35/-7

= 5

Thus,

The value of the expression is 5.

Learn more about PEMDAS here:

https://brainly.com/question/36185

#SPJ1

Answer:

To complete the construction described:

Place the midpoint I of segment [AB]. Draw the circle C of diameter [AB]. Draw the perpendicular bisector of segment [AB]. Label the point where it intersects circle C as E and F. Draw half-lines [AE) and [BE). Draw an arc with center A and radius [AB] that passes through point B. Label the points where the arc intersects half-line [AE) as H and J. Draw an arc with center B and radius [BA] that passes through point A. Label the points where the arc intersects half-line [BE) as G and K. Draw the quarter circle with center E and radius [EG] that is bounded by points G and H. This completes the construction.

The final figure should consist of circle C, perpendicular bisector EF, half-lines [AE) and [BE), arcs passing through points B and A, and the quarter circle with center E, radius [EG], and bounded by points G and H.

Step-by-step explanation:

The solution to the polynomial division is:

3x³ + 7x² + 5x - 1 - 4/(2x - 3)

A long division polynomial is defined as an algorithm that is used in dividing polynomial by another polynomial of the same or a lower degree. The long division of polynomials is made up of the divisor, quotient, dividend, and the remainder as in the long division method of numbers.

We are given the polynomial functions as:

f(x) = 6x⁴ - 23x³ + 31x² - 17x - 1

g(x) = 2x - 3

Using polynomial long division we have:

         3x³ + 7x² + 5x - 1

2x - 3|6x⁴ - 23x³ + 31x² - 17x - 1

      -  6x⁴ -   9x³

                  -14x³ + 31x²

                - -14x³ + 21x²

                               10x² - 17x

                            - 10x² - 15x

                                       - 2x  - 1  

                                      - -2x + 3

                                               - 4

Read more about polynomial long division at: https://brainly.com/question/25289437

#SPJ1

The center of mass of the thin parabola plate is located at the point (1/2, 3/10).

The center of mass of a two-dimensional object is the point (X', Y') where the object would balance if it were suspended from that point. The coordinates X' and Y' are given by the formulas:

X' = Mx / M

Y' = My / M

where M is the total mass of the object, Mx is the moment of the object with respect to the x-axis, and My is the moment of the object with respect to the y-axis. The moments are defined as integrals of the density over the region:

Mx = ∫∫ xρ(x,y) dA

My = ∫∫ yρ(x,y) dA

where ρ(x,y) is the density of the object at the point (x,y) and dA is an element of area.

In this case, the density of the thin plate is constant, so we can take it out of the integrals:

Mx = ∫∫ x dA = ∫∫ x dx dy

My = ∫∫ y dA = ∫∫ y dx dy

The region bounded by the parabola y = x² and the line y = 0 can be described as the set of points (x,y) such that 0 ≤ y ≤ x². Therefore, we can set up the integrals as follows:

Mx = ∫∫ x dx dy = ∫0^1 ∫0ˣ x dx dy = ∫0^1 (1/2)x² dy = 1/6

My = ∫∫ y dx dy = ∫0^1 ∫0ˣ y dx dy = ∫0^1 (1/2)x⁴ dy = 1/10

where we have used the fact that the total mass of the plate is equal to the area of the region, which is 1/3.

Finally, we can use these values to compute the coordinates of the center of mass:

X' = Mx / M = (1/6) / (1/3) = 1/2

Y' = My / M = (1/10) / (1/3) = 3/10

Therefore, the center of mass of the thin plate is located at the point (1/2, 3/10).

Learn more about Parabola:

brainly.com/question/29267743

#SPJ11

(a)There's solid prove to demonstrate that the standard deviation of gap breadth surpasses 0.01 millimeters. (b) Employing a control calculator or computer program, ready to decide that a test measure of roughly 44 is required to realize a control of at slightest 0.8 to detect a 50% increment in standard deviation at a centrality level of 0.1. (c) Assuming the same noteworthiness level of 0.1, ready to utilize a control calculator or program to discover that a test measure of around 22 is required to attain a control of at slightest 0.8.

(a) To test in case the standard deviation of gap distance across surpasses 0.01 millimeters, we are able utilize a one-tailed t-test with a noteworthiness level of 0.1. The invalid speculation is that the standard deviation is less than or rise to to 0.01 millimeters, and the elective theory is that the standard deviation is more noteworthy than 0.01 millimeters. We expect that the basic dispersion of the gap breadths is around ordinary.

Utilizing the equation for the t-test, we get:

[tex]t = (s / \sqrt{} (n-1)) / (0.01)[/tex]

[tex]t = (0.008 / \sqrt{} (14)) / (0.01)[/tex]

t = 2.26

The degrees of opportunity for this test is n-1 = 14. From a t-distribution table, we discover that the p-value for a one-tailed test with 14 degrees of opportunity and t=2.26 is roughly 0.021. Since the p-value is less than the noteworthiness level of 0.1, we dismiss the invalid speculation.

(b) To discover the likelihood that the test in part (a) will identify a 50% increment in standard deviation, we have to be calculate the control of the test. The control of a test is the likelihood of dismissing the invalid theory when the elective theory is genuine.

The control of the test depends on a few components, counting the test measure, the noteworthiness level, and the impact measure. In this case, the effect size is the contrast between the actual standard deviation and the hypothesized esteem, communicated in standard deviation units.

(c) If the real standard deviation is 0.0125 millimeters and we need to distinguish this with a control of at least 0.8, we ought to decide the test measure required for the test. Assuming the same noteworthiness level of 0.1, ready to utilize a control calculator or program to discover that a test measure of around 22 is required to attain a control of at slightest 0.8.

We have utilized a one-tailed t-test to decide that there's solid prove to show that the standard deviation of gap breadth surpasses 0.01 millimeters. We have too calculated the control of the test to distinguish a 50% increment in standard deviation and the test measure required to distinguish a standard deviation of 0.0125 millimeters with a control of at slightest 0.8.

Learn more about distance here:

https://brainly.com/question/15172156

#SPJ4

a) The solution to the initial-value problem is: y^3 = 3xr^3 + 2.

b) The solution to the initial-value problem is: x^2 y + (1/2) y^3 = (1/2) r^2 + 3/2.

c) The solution to the initial-value problem is: xr - ye^y = z ln|x| + 1.

(a) We can start by separating the variables and integrating both sides with respect to x and y:
xy^2 dy = y^3 - r^3 dx
Integrating both sides:
(1/3) y^3 = xr^3/3 + C
Using the initial condition y(2) = 2:
(1/3) (2)^3 = 2r^3/3 + C
C = 2/3
Thus, the solution to the initial-value problem is:
y^3 = 3xr^3 + 2

(b) Similar to part (a), we can separate the variables and integrate both sides with respect to x and y:
x^2 + 2y^2 dy = ry dx
Integrating both sides:
x^2 y + (1/2) y^3 = (1/2) r^2 + C
Using the initial condition y(-1) = 1:
(-1)^2 (1) + (1/2) (1)^3 = (1/2) r^2 + C
C = 3/2
Thus, the solution to the initial-value problem is:
x^2 y + (1/2) y^3 = (1/2) r^2 + 3/2

(c) We can start by multiplying both sides by dx and integrating:
(x-yey) dr = zey dy/x
Integrating both sides:
xr - ye^y = z ln|x| + C
Using the initial condition y(1) = 0:
1r - 0e^0 = z ln|1| + C
C = 1
Thus, the solution to the initial-value problem is:
xr - ye^y = z ln|x| + 1

Learn more about "initial value problem": https://brainly.com/question/31041139

#SPJ11

The legitimate probability distribution for the discrete random variable X is:

Value of x P(X= )

1 0.10

2 0.22

4 0.14

5 0.18

6 0.36

To create a legitimate probability distribution, the sum of all the probabilities should be equal to 1. So, we can use the fact that the sum of all probabilities must equal 1 to find the missing probability for X = 5.

Value of x P(X= )

1 0.10

2 0.22

4 0.14

5 ?

6 0.36

To find P(X = 5), we can subtract the sum of the probabilities for X = 1, 2, 4, and 6 from 1:

P(X = 5) = 1 - (0.10 + 0.22 + 0.14 + 0.36) = 0.18

Therefore, the legitimate probability distribution for the discrete random variable X is:

Value of x P(X= )

1 0.10

2 0.22

4 0.14

5 0.18

6 0.36

To learn more about probability visit:

https://brainly.com/question/15124899

#SPJ11

Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

Learn more about Fractions:

https://brainly.com/question/78672

#SPJ4

Answer:

$1,500

Step-by-step explanation:

167 x 9 = 1,503 rounded is 1,500 dollars

Hope this helps Good Luck

Answer: b. Solve the equation by factoring. 0=-16+2 -8 +120. 16€²+8E-120=0. 8(2²+E-15)=0. 8(2+-5) (++3)=0. 2=-5=0 =+3=0. + 5 t=-3. 2,5 seconds.

Step-by-step explanation:

The angular velocity of the circle is approximately 19 m/s.

In order to find the missing quantity, we can use the relationship between linear velocity and angular velocity in a circle. The linear velocity of a point on the edge of a circle is the product of the radius and the angular velocity. This can be expressed as:

v = r * w

where v is the linear velocity, r is the radius, and w is the angular velocity.

To find the value of w, we can rearrange this equation to solve for w:

w = v / r

Substituting the given values of v and r, we get:

w = 1235 m/min / 65 m

w = 19 m/s

It's important to note that units must be consistent when using formulas to solve problems. In this case, we converted the given linear velocity from m/min to m/s before plugging it into the formula. Also, we rounded the answer to the nearest tenth, as instructed, since the given values were rounded to the nearest unit.

To learn more about angular velocity

https://brainly.com/question/29557272

#SPJ4

A) The length MN of the given wooden block is: 12

B) 80400 in²

1) The formula for volume of a cuboid is:

Volume = Length * Width * Height

Thus:

427 = (MN * 7 * 3) + (5 * 5 * 7)

427 = 21MN + 175

21MN = 252

MN = 252/21

MN = 12

2) Surface area of entire object is:

TSA = 2(12 * 3) + 2(12 * 7) - (5 * 7) + 2(7 * 3) + 3(5 * 7) + 2(5 * 5)

= 402 in²

For 200 blocks:

TSA = 200 * 402 = 80400 in²

Read more about Surface Area and Volume at: https://brainly.com/question/30794567

#SPJ1

Amount of butter that Pam needs is 300 g.

Given ingredients to make 10 cookies.

Ingredients needed for 10 cookies is,

Butter : 120 g

Sugar : 75 g

Plain flour : 180 g

Chocolate chips : 150 g

Eggs : 2

The proportion of each ingredient will be same.

To make 25 cookies,

Amount needed = 25 / 10 = 2.5

Amount of butter needed = 2.5 × 120 = 300 g

Hence the amount of butter needed is 300 g.

Learn more about Proportions here :

https://brainly.com/question/14279414

#SPJ1

The product of the exponents is given by A = 2.0 x 10⁸

Given data ,

Let the first number be p = 1 x 10³

Let the second number be q = 2 x 10⁵

From the laws of exponents , we get

mᵃ×mᵇ = mᵃ⁺ᵇ

A = p x q

On simplifying , we get

A = 1 x 10³ x 2 x 10⁵

A = 2 x 10³⁺⁵

A = 2.0 x 10⁸

Hence , the equation is A = 2.0 x 10⁸

To learn more about exponents click :

https://brainly.com/question/28966438

#SPJ1