In the picture below, which lines are lines of symmetry for the figure?

A. only 2
B. 1, 2, and 3
C. 2 and 3
D. 1 and 3

13 cars needed both repairs and 10 cars needed new brakes, but not a new exhaust system.

In the given question, at Automotive Shop, 50 cars were inspected. 23 of the cars needed new brakes, 34 needed new exhaust systems, and 6 cars needed neither repair.

(a) We have to find the how many cars needed both repairs.

Total inspected cars = 50

The cars needed new brakes = 23

The cars needed new exhaust systems = 34

The cars needed neither repair = 6

So the cars that needed repair = 50-6 = 44

Total cars that needed new brakes and new exhaust systems = 23+34 = 57

So, the cars that needed both repairs = 57-44

The cars that needed both repairs = 13

Hence, 13 cars needed both repairs.

(b) Now we have to find how many cars needed new brakes, but not a new exhaust system.

The cars needed new exhaust systems = 34

The cars that needed repair = 44

So, the cars needed new brakes, but not a new exhaust system = 44-34

The cars needed new brakes, but not a new exhaust system = 10

Hence, 10 cars needed new brakes, but not a new exhaust system.

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The Equation for the given line in the graph is x+ y = 3.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

From the Graph take two points (0, 3) and ( 3, 0)

So, slope for the line

= ( 0-3 ) ( 3-0)

= -3/3

= -1

So, the Equation of line is

y[tex]- y_1[/tex]  = m(x[tex]-x_1[/tex])

y- 3 = (-1)(x- 0)

y- 3 = -x

y+ x = 3

x+ y = 3

Hence, the Equation line is x+ y= 3.

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The approximate value of -12 + [tex]\sqrt{32}[/tex] is option (A) -6.3

The given expression is

-12 + [tex]\sqrt{32}[/tex]

First find the value of  [tex]\sqrt{32}[/tex]

Prime factorization of 32

Prime factorization is defined as the method of expressing a number as a product of its prime factors

32 = 2 × 2 × 2 × 2 × 2

Therefore,

[tex]\sqrt{32}[/tex] = 2 × 2[tex]\sqrt{2}[/tex]

Multiply the numbers

[tex]\sqrt{32}[/tex] = 4[tex]\sqrt{2}[/tex]

The value of [tex]\sqrt{2}[/tex] = 1.414

The the value of 4[tex]\sqrt{2}[/tex] = 4 × 1.414

Multiply the numbers
= 5.656

The value of the expression

-12 + [tex]\sqrt{32}[/tex] = -12 + 5.656

Add the numbers

= -6.344

Approximate value will be

≈ -6.3

Therefore, the result of the expression -12 + [tex]\sqrt{32}[/tex] is -6.3

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a) Rachel's monthly payment for the $10,000 three-year loan with an APR of 7.25% is $309.92.

b) The total amount of the monthly payments is $11,157.12.

c) Rachel's finance charge for the loan is $1,157.12.

The finance charge is the interest and other fees paid for a loan or credit.

The finance charge is based on the annual percentage rate (APR).

The monthly payments, total monthly payments, and the finance charge can be determined using an online finance calculator as follows:

N (# of periods) = 36 months (3 years x 12)

I/Y (Interest per year) = 7.25%

PV (Present Value) = $10,000

FV (Future Value) = $0

Results:

Monthly Payment (PMT) = $309.92

Sum of all periodic payments = $11,157.12 ($309.92 x 36)

Total Interest (finance charge) = $1,157.12

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An equation in point-slope form for the line that passes through (2,-5) and is perpendicular to the graph of y=3x+1 is y = -1/3x-17/3.

When the line to be examined slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). B stands in for the y value of the y-intercept point in the formula. In order to make it simple to identify the slope and y-intercept of a line, its equation can be written in the slope-intercept form. The y-intercept, or point where the line crosses the y-axis, is referred to as the slope.

Perpendicular line slopes are reciprocals with a negative sign. In the slope-intercept form, y = mx + b, where m is the slope, the supplied line, y = 3x+1, is already in the slope-intercept form.

The line in the example has a slope of 3.

The negative reciprocal of three, or -1/3, is the slope of the perpendicular.

Y = -1/3x + b is the equation for the line that we are looking for.

We must track down b. We solve for b by using the x and y coordinates of the provided location as x and y in the equation above.

y = -1/3x + b

5 = (1/3)(2) + b

5 = (2/3) + b

b = -5-(2/3)

b= -17/3

B is now substituted for in the equation

y = -1/3x-17/3 as we know that b =-17/3.

Therefore, an equation in point-slope form for the line that passes through (2,-5) and is perpendicular to the graph of y=3x+1 is y = -1/3x-17/3.

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The equation of the line in slope intercept form is y = 1 / 5 x + 7.

The equation of a line can be represented in slope intercept form as follows:

y = mx +  b

where

Therefore, let's find the slope of the line as follows:

using (0, 7) and (5, 8)

m = 8 - 7 / 5 - 0

m = 1 / 5

m = 1 / 5

Therefore, let's find the y-intercept using (0, 7).

Hence,

y = 1 / 5 x + b

7 = 1 / 5 (0) + b

b = 7

Therefore, the equation of the line is y = 1 / 5 x + 7

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The value of the expression is 5.2.

The equivalent expression with a whole number divisor is 145.6/28.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

14.56 ÷ 2.8

= 14.56 / 2.8

= 14.56 x 10 / 28

= 145.6 / 28
= 5.2

Thus,

The value of the 14.56÷ 2.8 is 5.2.

The equivalent expression is 145.6/28.

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Answer:

The expression answer is 5.2.

145.6/28 is the equivalent expression using a whole number divisor.

Explanation:

For the time being, we have: 

14.56 2.8 

= 14.56 / 2.8

= 14.56 x 10 / 28 

For the time being, we have: 

As a result, the value of 14.56 2.8 is 5.2.

145.6/28 is an equivalent expression.

Answer:

36.8%

Step-by-step explanation:

PLEASE MARK BRAINLIEST

42.5-31=11.4

11.4/31 is approx  0.367741935 , or 36.7741935 %.

Rounding it to the nearest tenth gives you 36.8%.

Answer: So Cute!

Step-by-step explanation:

Answer:

Yes. I also think he is adorable.

⇒Sum of interior angles of a triangle is 180°

⇒ The above statement means that

[tex]70+35+x=180[/tex]

⇒Solving for x :

[tex]105+x=180\\x=180-105\\x=75[/tex]

∴ x=75°

Option D is the answer.

The minimum sample size needed for the desired margin of error of the confidence interval is given as follows:

44.

The sample size needed is obtained using the z-distribution, as the standard deviation for the population is known.

The equation that gives the margin of error for a z-distribution confidence interval is:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which the parameters are given as follows:

The known measures in this problem are given as follows:

[tex]M = 20, \sigma = 80, z = 1.645[/tex]

Then the desired sample size is obtained as follows:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]20 = 1.645\frac{80}{\sqrt{n}}[/tex]

[tex]20\sqrt{n} = 1.645 \times 80[/tex]

Simplifying by 4, we have that:

[tex]\sqrt{n} = 1.645 \times 4[/tex]

[tex](\sqrt{n})^2 = (1.645 \times 4)^2[/tex]

n = 43.3.

Rounding up, as a sample size of 43 would have a margin of error slightly  above 20, the sample size needed is of 44.

The problem is given by the image shown at the end of the answer.

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Answer:

a.

Car A: $26.50

Car B: $53.00

b.

Car A: 13 1/3

Car B: 10

c.

Car A: $353

Car B: $530

Step-by-step explanation:

Car A: 10 gal, 30 mpg

Car B: 20 gal, 20 mpg

a.

Car A: 10 gal × $2.65/gal = $26.50

Car B: 20 gal × $2.65/gal = $53.00

b.

Car A: 1 full tank will drive 10 gal × 30 mpg = 300 miles

4000 miles / 300 miles = 13 1/3

Car B: 1 full tank will drive 20 gal × 20 mpg = 400 miles

4000 miles / 400 miles = 10

c.

Car A: 13 1/3 × 10 gal × $2.65/gal = $353

Car B: 10 × 20 gal × $2.65/gal = $530

Answer: 97 degrees Celsius is 206.6 degrees Fahrenheit.

Answer: It would take her 38 minutes to plant 57 bulbs.

Step-by-step explanation:

Answer:

[tex]\frac{3ab^2 + 2a^2 b}{5b^2 - 2a^2}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{3}{a}+\frac{2}{b}}{\frac{5}{a^2}-\frac{2}{b^2}} \\ \\ =\frac{a^2 b^2 \left(\frac{3}{a}+\frac{2}{b} \right)}{a^2 b^2 \left(\frac{5}{a^2}-\frac{2}{b^2} \right)} \\ \\ =\frac{3ab^2 + 2a^2 b}{5b^2 - 2a^2}[/tex]

The end behaviour of the function [tex]y = -x^{2} + 4[/tex] is

f(x) → −∞, as x → −∞

f(x) → −∞, as x → +∞

The degree of the function is even, and the leading coefficient is negative.

End behaviour of a function:

A polynomial function's final behaviour is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behaviour is determined by a polynomial function's degree and leading coefficient.

For very big or very small values, the leading coefficient is more important than the other function coefficients. Therefore, it is sufficient to forecast the function's final behaviour based on the sign of the leading coefficient.

To predict the end-behaviour of a polynomial function, first check whether the function is odd-degree or even-degree function and whether the leading coefficient is positive or negative.

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The composition of the two functions g of x and f of x is:

(g o f)(x) = 3x² - 15x + 1

Here we have three known functions, these are:

And we want to find the composition of functions:

(g o f)(x)

That means that we need to evaluate the function g(x) on f(x), so we will get:

(g o f)(x) = g( f(x))

Then we will get:

g( f(x)) = 3*f(x) + 1

Now we can replace the actual function f(x) there, so we will get:

g( f(x)) = 3*f(x) + 1

g( f(x)) = 3*(x² - 5x) + 1

Now we can simplify that:

g( f(x)) = 3*(x² - 5x) + 1

g( f(x)) = 3*x² - 3*5x + 1

g( f(x)) = 3x² - 15x + 1

Then the composition of functions is:

(g o f)(x) = 3x² - 15x + 1

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I don't know .............

Answer:

Yes

Step-by-step explanation:

A simple way to know is by simplifying them.

70/100 divided by 10 is 7/10

First divide 70 by 10: you get 7

Then divide 100 by ten: you get 10

Answer:

18x−6

Step-by-step explanation:

Distribute

the required standard error is 6.9 for the sampling distribution.

The standard error of the sampling distribution is given by the formula SE = sqrt( (SD1² / n1) + (SD2² / n2) )

As per the question, we are given that samples of size 51 are drawn from population A with a standard deviation of 5.49, and samples of size 76 are drawn from population B with a standard deviation of 5.06.

Substituting these values into the formula, we get:

SE = √( (5.49² / 51) + (5.06² / 76) )

SE = √( (30.11) + (17.93) )

SE = √(48.04)

SE = 6.9

Therefore, the required standard error is 6.9 for the sampling distribution.

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1. The position (distance covered) of each elevator relative to the surface after additional 17 seconds is as follows:

2. After 17 seconds, the miners' elevator is deeper by 79 feet than the equipment elevator.

Distance is a function of speed and time.

This implies that distance is the product of speed and time.

The descent speed of the equipment elevator = 4 feet per second

The total time in seconds the equipment elevator descended = 44 seconds (27 + 17)

The descent distance covered in 44 seconds = 176 feet (44 x 4)

The descent speed of the miners' elevator = 15 feet per second

The total time in seconds the miners' elevator descended = 17 seconds

The descent distance covered in 17 seconds = 255 feet (17 x 15)

Thus, the difference in the descent distance between the equipment elevator and the miners' is 79 feet (255 - 176).

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The two solutions are (0, 1) and (-4, 0)

From the question, we have the following parameters that can be used in our computation:

Graph of a linear relationship

From the graph of the linear relationship, we have the following points on the line

(0, 1) and (-4, 0)

Hence, the solutions are (0, 1) and (-4, 0)

On the graph, we can see that as x increases, the y value increases

This means that the graph is an increasing graph

In (a), we have

(0, 1) and (-4, 0)

These points represent the intercepts

So, we have

x-intercept= -4

y-intercept = 1

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 1) and (-4, 0)

Substitute the known values in the above equation

So, we have the following equation

Slope = (0 - 1)/(-4 - 0)

Evaluate

Slope = 0.25

Hence, the slope of the line is 0.25

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The equation which will have the maximum value at (9,7) is [tex]y = -x^{2} + 18x-74[/tex]

What is an equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 4x + 6 = 15 consists of the two equations 4x + 6 and 15, which are separated by the 'equal' sign.

The graph's transition from increasing to decreasing must be identified in order to determine the maximum. We look at the second derivative and see when the value changes from positive to negative to determine the rate at which the graph goes from increasing to decreasing.

According to the given information

[tex]y = -x^{2} + 18x-74[/tex]

The equation which will have the maximum value at (9,7) is [tex]y = -x^{2} + 18x-74[/tex]

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Answer:

Sorry just trying to get points

7 ÷ x = 1.5 is the equation used to solve for x.

Given,

Triangle DEF is a scaled copy of triangle ABC.

We have to find the equation to solve for x.

Scaled Copy;-

 A scaled copy is a representation of a figure in which each length from the original representation has been multiplied by the same amount. Triangle ABC, for instance, is a scaled version of triangle DEF. Triangle DEF's side lengths were calculated by multiplying each side length from triangle ABC by 1.5.

Here,

Length of side AB = 6

Length of side DE = 4

Let y be the value used for scaling.

Then,

6 = 4y

y = 6/4 = 1.5

So,

Length of side BC ÷ x = 1.5

7 ÷ x = 1.5

7 = 1.5x

x = 7/1.5

x = 4.67

That is,

The equation used for getting the value of x is 7 ÷ x = 1.5

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The key points of option (B) are the x-axis: (1, 0), y-axis: (-3, 0), and Vertex: (-1, -8) she can use to graph the given equation.

Write the equation in the form y = MX + b to determine the slope m and the y-intercept.

This will allow you to graph the equation using the slope and y-intercept (0, b). The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, we have the equation:

y=2x^2+4x-6

Now, plot this equation in the graph as follows:

(Refer to the image attached below)

x-axis: (1, 0)

y-axis: (-3, 0)

Vertex: (-1, -8)

Therefore, the key points of option (B) which are the x-axis: (1, 0), y-axis: (-3, 0), and Vertex: (-1, -8) she can use to graph the given equation.

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Answer:10<x<30

Step-by-step explanation:

According to the triangle side theorem all you need to do is this.

Difference of the two sides<x<Sum of the two sides.

That will give you the range your looking for. For the difference always remove the smaller number from the bigger number so you can always have positive integers.

Answer: 10<x<30

Step-by-step explanation: The third side of the triangle has to be greater than the difference of the other two sides and smaller than the sum of the other two sides.

Answer:

5

Step-by-step explanation:

[tex]\triangle HBK \cong \triangle NBK[/tex] by SAS. Using CPCTC, [tex]3x=x+10 \implies 2x=10 \implies x=5[/tex].