Are lines q and n perpendicular? Explain your reasoning.

Answer:

b. False

Step-by-step explanation:

The number of costumers that visit your store is a DISCRETE variable because is the set of countable costumers. We count a whole person not parts of a person.

For a continuous variable we are allowed to take any value in an interval. In our case we can not say we had 3.4 costumers. We can say the costumer bought 3.4 gallons of gas for their car.

number or costumers →discrete variable

number of gallons of gas →continuous variable

b. False

The transformations that take triangle ABC to triangle A'B'C' are given as follows:

Reflection over the line y = B.

Translation up and right.

These following categories are used to group transformations on a function's graph.

Translation: The figure's position can be changed by moving to the left, right, or up/down.

Reflections: These can occur over a line or on one of the axes, shifting the direction that the figure is facing.

Rotations: Changing the figure's inclination across a degree measure.

Dilation: The scale factor is multiplied by the coordinates of the original form's vertices, affecting the side lengths of the figure.

The modifications brought about by these transitions are particularly significant in the context of this issue.

For this issue, the triangle's orientation altered, causing a reflection to take place. Since B was the bottom vertex of ABC and is now at the top of A'B'C', the line of reflection is y = B.

B and B' would be in the same place if it weren't for the reflection. A translation up and right was also utilized because A'B'C' lies above and to the right of the line of reflection.

There were no rotations or dilations because the inclination and side lengths were constant.

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We need to know about mixed fractions to solve the problem. The simplified answer is -119/12.

Mixed fractions is a fraction that is represented by it's quotient and remainder. Mixed fractions are solved by multiplying the denominator with the number in front and then adding the numerator to it, to get the numerator of the simple fraction, the denominator of the simple fraction remains same. In the given question we need to simplify the mixed fractions and then solve it.

[tex]-3\frac{1}{4} -6\frac{2}{3}[/tex] = -13/4-20/3=-39-80/12=-119/12

Therefore the simplified answer is -119/12, option (a) is the correct answer.

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Answer:

119 over 12

Step-by-step explanation:

Answer:

see my picture, bro. hope it can help

Answer:

x = 15

y = 50

Step-by-step explanation:

Linear Pair

Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).

The angles (8x + 10)° and y° form a linear pair.  

Therefore, equate the sum of these angles to 180° and isolate y:

⇒ (8x + 10)° + y° = 180°

⇒ 8x + 10 + y = 180

⇒ 8x + 10 + y - 10 = 180 - 10

⇒ 8x + y = 170

⇒ 8x + y - 8x = 170 - 8x

⇒ y = 170 - 8x

Corresponding Angles Postulate

When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.

The angles y° and (3x + 5)° are corresponding angles and are therefore congruent:  

⇒ y° = (3x + 5)°

⇒ y = 3x + 5

Substitute the second equation for y into the first equation for y and solve for x:

⇒ 3x + 5 = 170 - 8x

⇒ 3x + 5 + 8x = 170 - 8x + 8x

⇒ 11x + 5 = 170

⇒ 11x + 5 - 5 = 170 - 5

⇒ 11x = 165

⇒ 11x ÷ 11 = 165 ÷ 11

⇒ x = 15

Substitute the found value of x into one of the expression for y and solve for y:

⇒ y = 170 - 8x

⇒ y = 170 - 8(15)

⇒ y = 170 - 120

⇒ y = 50

Final solution:

Answer:

51°

Step-by-step explanation:

4. The cube of 4 in expanded form is: 4 × 4 × 4 = 64.

5. Four times three is not the same thing as cube of a number, but rather 4 × 3 = 12.

The cube of a number means the number multiplied by itself three times. With the knowledge of this, we can write the cube of any number in expanded form.

For example, given a number y, the cube of y is = y³

This means that y multiplied by itself three times, which can be written in expanded form as: y × y × y = y³

If y is 2, the cube of 2 would mean: 2³ = 2 × 2 × 2 = 8.

Therefore:

4. Four cubed is 4³

In expanded form, it is: 4 × 4 × 4, which is evaluated as = 64.

5. Four times 3 in numbers is: 4 × 3, which is evaluated as = 12.

Our answer in #5 is different from our answer in #4 because cube of 4 is 4 times itself in 3 places.

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In linear functions, there is a constant difference between the y-values on a table. This means that it increases or decreases by the same amount per every equal interval.

For instance: 2, 4, 6, 8 ⇒ Constant difference of 2 every 1 term

To find the constant difference for this set of values, determine the constant difference (y), and by what interval this difference occurs (x).

Looking at the first two rows of the table, we now know that for every increase in 3 in the x-values yields an increase of 15 in the y-values.

We can write it like a fraction, with difference in y on top and difference in x at the bottom:

[tex]\dfrac{15}{3}[/tex] ⇒ [tex]5[/tex]

Congratulations! We have now found the slope of the line.

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

Plug in our slope, and solve for the y-intercept by using one of the given points from the table:

[tex]y=5x+b\\-10=5(-1)+b\\-10=-5+b\\b=-5[/tex]

Plug this back into the equation:

[tex]y=5x-5[/tex]

To find n, plug in 20 as y and solve:

[tex]20=5n-5\\25=5n\\n=5[/tex]

n = 5

The equation describing the function f(x) = y = 4x - 8

We have a linear function f(x) as shown in the graph.

The Slope - intercept form of the equation of a straight line exists as follows:

y = mx + c

where m is the slope of the line

c be the intercept of the line on the y-axis.

Let c = - 8 be the intercept of the line on y - axes.

Intercepting coordinates on y - axes = (0, -8).

Intercepting coordinates on x - axes = (2, 0).

Slope = m =  = 4

Therefore, the equation representing the function f(x),

y = 4x - 8.

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QUESTION A

To find the cost of making 300 minutes of calls, we can trace the graph from where the x-axis is 300 to the graph and then get the value on the y-axis. This is shown below:

Therefore, the cost of the plans are:

Therefore, PLAN B costs less.

The difference between the two plans will be:

Therefore, Plan B costs $4 less than Plan A.

QUESTION B

Both plans cost the same at the point where the two graphs intercept. Checking the graph, this occurs when:

Therefore, the number of minutes that both plans cost the same is 250 MINUTES.

Plan B has a constant price of $20, regardless of the number of minutes used. However, Plan A is variable. The cost of Plan A only exceeds $20 after 250 minutes.

Therefore, before this time, PLAN B costs more.

Answer:

Vertex (−3, 0), Range: {y | 0 ≤ y < ∞}

Step-by-step explanation:

See attached graph.

The graphs which show functions with direct variation include the following:

B. A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

C. A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

A graph is a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

Generally speaking, the graph of any proportional relationship (direct variation) is characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis decreases or increases, the values on the y-axis decreases or increases simultaneously.

In conclusion, the graphs representing direct variation are shown in the image attached below.

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Complete Question:

Which graphs show functions with direct variation? Select three options.

A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).

A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

Answer:

c + d = 180 (property of 2 angles on a line), we can say that d = 180 - c

a + b + c = 180 (property of a triangle), we can say that a + b = 180 - c

therefore a + b = d

Step-by-step explanation:

Answer:

x <-5 or x> 1/2

Step-by-step explanation:

I hope this helps! If it does would you please mark me brainliest?

Answer:

4/-18 or 2/-9

Step-by-step explanation:

The slope of a straight line is a number that indicates how steep the line is. You can calculate the slope of a line by dividing the vertical change, called the rise, by the horizontal change, called the run, between two distinct points on the line.

Slope = change in y divided by change in x or rise divided by run

6 - 2 = 4

-12 - 6 = -18

Answer would be 4/-18

The polynomial of specified degree is 2x²-8x²+6

Before attempting to answer a polynomial problem, write it out in standard form. Factor it, then when each variable factor reaches zero, set them all to zero. The answers to the derived equations are the solutions to the original equations. Polynomial equations are not always amenable to factoring as a solution.

Polynomials are the sums of terms of the form kxn, where k is any number and n is a positive integer. a description of polynomials, such the polynomial 3x+2x-5. This video covers the ideas of degree, standard form, monomial, binomial, and trinomial.

If √3 is a root

so is -√3

thus, the polynomial is c(x-1)(x+1)(x-√3)(x+√3) = c(x²-1)(x²-3) = c(x⁴-4x²+3)

As the constant term is 6, 3c = 6, so c = 2

2(x4-4x2+3) = 2x⁴-8x²+6

Hence The polynomial of specified degree is 2x²-8x²+6

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Answer: 1.90129068E57

Step-by-step explanation:

Answer:1.9012907e+57

Step-by-step explanation:

Answer:

12 video games

Step-by-step explanation:

[tex]6.8 {v}^{2} = 979.20[/tex]

[tex] {v}^{2} = 144[/tex]

[tex]v = 12[/tex]

Answer:   (f - g)(x) = -x^2+4x+6

Work Shown:

(f - g)(x) = f(x) - g(x)

(f - g)(x) = (4x+1) - (x^2-5)

(f - g)(x) = 4x+1 - x^2+5

(f - g)(x) = -x^2+4x+(1+5)

(f - g)(x) = -x^2+4x+6

trapezoid is moved through the

translation (x+3, y-2)

So we add 3 to x and then subtrack -2 to y

Answer:

d ≈ 10.8 feet

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( where d is the diameter )

given C = 34 , then

πd = 34 ( divide both sides by d )

d ≈ 10.8 feet ( to 1 dec. place )

Answer:

The diameter of circle is 10.82 feet.

Step-by-step explanation:

[tex]\longrightarrow\sf{Circumference_{(Circle)} = 2 \pi r}[/tex]

[tex]\longrightarrow\sf{Diameter_{(Circle)} = 2r}[/tex]

Where

Finding the radius of circle by substituting all the given values in the formula :

[tex]\longrightarrow\sf{Circumference_{(Circle)} = 2 \pi r}[/tex]

[tex]\longrightarrow\sf{34 = 2 \pi r}[/tex]

[tex]\longrightarrow\sf{34 = 2 \times 3.14 \times r}[/tex]

[tex]\longrightarrow\sf{34 = 6.28 \times r}[/tex]

[tex]\longrightarrow\sf{ r = \dfrac{34}{6.28}}[/tex]

[tex]\longrightarrow\sf{\underline{\underline{ r \approx 5.41}}}[/tex]

Hence the radius of circle is 5.41 feet

[tex]\begin{gathered} \end{gathered}[/tex]

Now, calculating the diameter of circle by substituting the given value in the formula :

[tex]\longrightarrow\sf{Diameter_{(Circle)} = 2r}[/tex]

[tex]\longrightarrow\sf{Diameter_{(Circle)} = 2 \times r}[/tex]

[tex]\longrightarrow\sf{Diameter_{(Circle)} \approx 2 \times 5.14}[/tex]

[tex]\longrightarrow\sf{Diameter_{(Circle)} \approx 10.82}[/tex]

Hence, the diameter of circle is 10.82 feet.

The number 67 must be added to form the complete square ( x - 10)² to solve the quadratic equation x² - 20x + 33.

Consider the quadratic equation,

x² - 20x + 33 = 0

Comparing the equation with general form of quadratic equation ax² + bx + c = 0

We have,

a = 1, b = - 20, and c = 33

x² - 20 x +33 =0

x² - 2 × 10 x + ( 10 )² - ( 10 )² + 33 =0

By using the identity ( a - b )² = a² - 2ab + b²

( x - 10)² -100 +33 =0

( x - 10)² - 67 =0

( x - 10)² = 67

Hence, the complete square:

( x - 10 )² = 67

x - 10  = ± √67

x - 10 = ± 8.1853

So,

x - 10 = 8.2

x = 10 + 8.2

x = 18.2

And;

x - 10 = - 8.2

x = 10 - 8.2 = 1.8

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A weighted average of the share amount paid for the shares may be calculated by the investor. To achieve this, multiply the total number of shares purchased by each price, add those numbers, and then divide the total by the number of shares purchased.

This is further explained below.

The total sum of the product (or multiplication) of the weights that are associated with various investment alternatives and their corresponding results is the weighted average return. This is also known as the weighted mean return.

The total of these weights is equivalent to one hundred percent.

Generally, The investor has the ability to compute a weighted average of the share prices at which the shares were purchased.

To do this, first, multiply the number of shares bought at each price by that price, then add up the values obtained from steps one and step two, and then divide the entire value by the total number of shares.

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Part b.

In this case, the money is compounded quarterly, this means that n=4 (4 times per year). So, by substrituting the given values into the compound interes formula, wer have

which gives:

Answer: 12.5%

Step-by-step explanation:

Actual measurement of the window = 24 inches

Measured measurement of the window = 27 inches

We need to find the Rivers percent error. It can be calculated as follows :

% = (|actual value-measured value|)/actual value × 100

% [tex]=\frac{27-24}{24} \times 100\\\\[/tex]

%= 12.5%

So, River's percent error is 12.5%.

The plots are experimental units in this study, then the farmer is conducting an experiment to determine which variety of apple tree, fuji or gala, will produce more fruit in his orchard. So ,the answer is the plots.

Based on the given conditions.

Therefore,

The plots are experimental units in this study, then the farmer is conducting an experiment to determine which variety of apple tree, fuji or gala, will produce more fruit in his orchard. So ,the answer is the plots.

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Answer: x = 72 degrees

Step-by-step explanation:

A Pentagon has 540 degrees in total

Divide 540 by the number of angles you have

540 / 5 = 108 degrees

The x angle is on a flat line with the other angle, when you add them you will get 180

So subtract 108 from 180

180 - 108 = x = 72 degrees

Depreciation expense is  $20,121  in equation .

What is Depreciation expense?

Additional to retained earnings                =  5,900

Add : dividends paid                                  =  2,040

Net income                                                 = $7940

Tax                                                              =  22%

Before tax income 97940 -/( 1 - 0.22)       =  $10179.48

Add : Interest expense                              =   $4600

operating income                                      =                            $14,779.48      

Sales                                                            =  $66,000    

Less : costs                                                = $31,100

Gross profit                                                  =                             $34,900

Depreciation expense                                =                              $20,121

(34,900 - 14,779.48)

Depreciation expense is    $20,121 .

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Recall that the angles can be named:

1) The same as the vertex.

2) With 3 points being the middle point the vertex.

3) A symbol is placed at the angle.

Answer:

1) NML, M, and 3.

2) HGF, G, and 9.