Consider the following graph of a piecewise-defined function.
Choose the correct expression to represent the piecewise-defined function.

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Equation of line is doubling

answer for this question is 3.85 units squared

Answer:

[tex]\boxed{\text{38.5 units}^{2}}[/tex]

Step-by-step explanation:

The polygon is a trapezoid on its side.

The formula for the area of a trapezoid is  

A = ½(a + b)h,

where a and b are the lengths of the parallel sides and h is the distance between them.

AD = a = 2 – (-2) = 2 + 2 = 4 units

BC = b = 2 – (-5) = 2 + 5 = 7 units

AB = h = 3 – (-4) = 3 + 4 = 7 units

A = ½(4 + 7) × 7 = ½ × 11 × 7 = 38.5 units²

[tex]\boxed{\text{A = 38.5 units}^{2}}[/tex]

Answer:

Part 1) The measure of angle C is 90°

Part 2) The measure of angle B is 35°

Part 3) The measure of angle A is 55°

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

step 1

Find the measure of angle C

The diameter divide the circle into two equal parts

so

If AB is a diameter

arc AB=180°

∠C=(1/2)[arc AB]

∠C=(1/2)[180°]=90°

step 2

Find the measure of angle B

arc AC=70°

∠B=(1/2)[arc AC]

∠B=(1/2)[70°]=35°

step 3

Find the measure of angle A

The sum of the internal angles of a triangle must be equal to 180 degrees

so

∠A+∠B+∠C=180°

substitute

∠A+35°+90°=180°

∠A=180°-(35°+90°)

∠A=55°

The equation that matches the function shown in the graph is y = 2x + 4

Which equation matches the function shown in the graph?

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

The graph

A linear equation is represented as

y = mx + c

Where

m = slope

c = y-intercept

From the graph, we have the point (0, 4)

This means that

c = 4

So, we have

y = mx + 4

Using the point (-2, 0) on the graph, we have

-2m + 4 = 0

This gives

2m = 4

m = 2

Recall that

y = mx + 4

So, we have

y = 2x + 4

Hence. the equation is y = 2x + 4

Answer:

125.66 in. ³

Step-by-step explanation:

2 × π × r × h  +  2 × π × r²

We only know the length of the diameter, but we have to find the radius. So we divide by 2 because the radius is half the diameter.

4 ÷ 2 = 2

So r = 2.

h = 8

2 × π × r × h

2 × 3.14 × 2 × 8 = 100.48

2 × π × r²

2 × 3.14 × 2²

2 × 3.14 × 4 = 25.12

Now add them up.

100.48 + 25.12 = 125.66

Hope this helps... :)

Answer:

8

Step-by-step explanation:

7m+8=8m

7m-8m= -8

Whenever you move a number for the opposite side , you change the sign. For example, the number is 6 , then you move it to the other side. The sign becomes negative 6.

-m=-8

The m cannot be a negative sign. So you multiply it by -1 and for -8.

-1(-m)= -1(-8)

m= 8

Double check answer if you want to:

7m+8=8m

Substitute the answer for m.

7(8)+8=8(8)

64=64

So the answer is correct. m=8

Answer:

78%

Step-by-step explanation:

Answer:

A≈644.58

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula of a volume of a rectangular prism:

V = lwh

The fomula of a surface area of a rectangular prism:

SA = 2(lw + lh + wh)

l - length

w - width

h - height

We have l = 10cm, w = 6.5cm and h = 8.3cm. Substitute:

V = (10)(6.5)(8.3) = 539.5 cm³

SA = 2[(10)(6.5) + (10)(8.3) + (6.5)(8.3)] = 2(65 + 83 + 53.95)

= 2(201.95) = 403.9 cm²

Answer:

y = -5/8x +6

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (7/2 -11)/(4--8)

    = (7/2 - 22/2)/(4+8)

    = (-15/2)/(12)

   = -15/24

Divide top and bottom by 3

   -5/8

Then we can use point slope form to write the equation

y-y1 = m (x-x1)

y- 11 =-5/8(x--8)

y- 11 =-5/8(x+8)

Distribute

y-11 =-5/8 x -5

Add 11 to each side

y-11 = -5/8x -5+11

y = -5/8x +6

Answer:Hello there!

2y + 4 = 0

2y = -4

y = -2

My assumption is that you'd graph this as a horizontal line at (0,-2) but PLEASE double check with your teacher/instructor because I'm not sure if I'm right.

Hope this helped!

Step-by-step explanation:

Answer:

Step-by-step explanation:

You'll need to share the graphs mentioned in this problem statement.

One can solve  2y + 4 = 0  for y and thus obtain an equation which is easy to graph:

2y + 4 = 0 becomes

2y = -4, or

 y = -2

The graph of this function is the horizontal line y = -2.  Find (0, -2) on your set of coordinate axes and plot a dark dot there.  Then draw a horizontal line thru it.  This line has a slope of zero (0) and a y-intercept of -2.

Answer:

A we can use the sampling distribution to infer about the behavior of all students in the specific district

Step-by-step explanation:

A sample is usually studied or analyzed in order to make inference about the population. It will be more time consuming and costly to study the entire population due to the large number of participants.

In our case, the samples are obtained from a specific school district Michigan. This implies that the researcher is interested in this particular school district and is thus our population of interest. Therefore, we can use the sampling distribution to infer about the behavior of all students in the specific district

We can use the sampling distribution to infer about the behavior of all students in the specific district  

Answer:

S = 1/2 n (n+1)

Step-by-step explanation:

1 + 2 + 3 + ... + n

Now write in reverse order:

n + n-1 + n-2 + ... + 1

Add together:

n+1 + n+1 + n+1 + ... + n+1

n (n+1)

Since this is double the sum:

S = 1/2 n (n+1)

Answer:

1/2n(n+1)

Step-by-step explanation:

Answer:

D.) 1237 spots

Step-by-step explanation:

We have been given the following regression line;

y= 89.5 + 0.409x

It is reasonable to argue that the number of commuters determines the number of parking spots and as such commuters is our explanatory variable (x). On the other hand, the number of parking spots is our response or dependent variable (y).

We are required to predict the number of parking spots at the Metro-North Station of Greenwich which has 2804 commuters. We are simply asked to determine the value of y when x is 2804 using the regression line;

y = 89.5 + 0.409(2804)

y = 1236.336

y = 1237

Answer:

D. 0.43, because 13 of the 30 days were cloudy

Step-by-step explanation:

The fist thing that you should do is divide 100 by 30.  We will do this so taht our percentages add up to 100.  When we do this we get 3.333.  Next we need to multiply this by the nubert of cloudy days 13 to get the answer D.

Answer:

Part 1) [tex]42=\frac{1}{2}x(x-5)[/tex]

Part 2) The length of the base is [tex]x=12\ m[/tex]

Step-by-step explanation:

Part 1) Which equation would be help solve the following problem?

Let

x----> the length of the base of a triangle

y----> the height of a triangle

we know that

The area of a triangle is

[tex]A=\frac{1}{2}xy[/tex]

[tex]A=42\ m^{2}[/tex]

so

[tex]42=\frac{1}{2}xy[/tex] ------> equation A

[tex]y=x-5[/tex] -----> equation B

Substitute equation B in equation A  

[tex]42=\frac{1}{2}x(x-5)[/tex]

Part 2) Find the length of the base

we have

[tex]42=\frac{1}{2}x(x-5)[/tex]

solve for x

[tex]84=x^{2}-5x\\x^{2}-5x-84=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]x=12\ m[/tex]

see the attached figure

Answer:

see attached picture

Step-by-step explanation:

I got this by using the free app desmos, you should check it out!

Answer:

m = ($55,000 - $40,000)/(9 - 3)

= $15,000/6 = $2,500

A salesperson's salary will increase by about $2,500 per year of employment.

Answer:

230 degrees

Step-by-step explanation:

Answer:

The average would be 35 miles. If you divide 3,325 by 95 then every gallon is 35. Have a nice day

:)

Step-by-step explanation:

Answer:

35 miles per gallon.

Step-by-step explanation:

The simplest way to solve this problem is to just simplify the fraction given to you.

D. All rational numbers are integers

All rational numbers are integers

Step-by-step explanation:

So in a gallon there is 4 quarts, and in 1 quart there are 2 pints and in 1 pint there are 2 cups.

So for the 1 quart of onion that would equal 4 cups. Then for the 4 pints of broth there would be 8 cups and then the 6 cups and 2 cups just stay the same. So if you add those number of cups up you would get 20 cups. Divide that by 4 to see how many bowls she would need.

The answer is she would need 5 bowls

Answer:

[tex]\large\boxed{\sqrt[3]{3^{15}}=243}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{3^{15}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt[3]{3^{5\cdot3}}=\sqrt[3]{(3^5)^3}\\\\\text{use}\ \sqrt[n]{a^n}=a\\\\=3^5=243[/tex]

Answer:

A

Step-by-step explanation:

x/3= her cousins age

Answer:

Step-by-step explanation:

first draw you line down on the equal sign take 2x and devide itso it should be 14/2 you should get 7 2x is no longer there then bring down 9y and add d to 14 thats 23 so its x =23

We need to solve for x.

2x - 9y = 14

Move the 9y to the right side and use inverse operations.

2x = 14 + 9y

Divide both sides of the equation by 2.

x = 7 + 9/2y or x = 7 + 4.5y

I will attach a picture of the graph as well in case that’s what you were looking for.

Answer: it’s definetly C

Step-by-step explanation:

The answer is C.

Hope this helps!

The formula for volume of a sphere is 4/3 x PI x r^3

Solve for r:

288PI = 4/3 x PI x r^3

Divide both sides by PI:

288 = 4/3 x r^3

Divide both sides by 4/3:

216 = r^3

Take the cubic root of 216 for r:

r = ∛216

r = 6

The radius is 6 cm.

Answer: The answer would be 44 millimeters.

Step-by-step explanation: A parallelogram has to sets of congruent sides. One set has two sides that are 9 millimeters and the other set has two sides that are 13 millimeters. 9+9 = 18, 13+13= 26 and 18+26= 44!

Final answer:

To calculate the perimeter of the parallelogram with sides of 9 millimeters and 13 millimeters, you add the lengths of opposite sides and multiply by 2. The perimeter is 44 millimeters.

Explanation:

The perimeter of a parallelogram is calculated by adding the length of all four sides. Since a parallelogram has opposite sides that are equal in length, if one side is 9 millimeters and another side is 13 millimeters, the other two sides will also be 9 millimeters and 13 millimeters respectively. The formula to find the perimeter (P) is P = 2(a + b), where a and b are the lengths of the sides.

Using this formula:

Let a = 9 mm and b = 13 mm.

Then, P = 2(9 mm + 13 mm).

P = 2 × 22 mm.

P = 44 mm.

Therefore, the perimeter of the parallelogram is 44 millimeters.

Answer:     2 to 1          and          2;1

Step-by-step explanation:

in general there are 3 ways to write these ratios. A fraction, the one using to, and the ones with semicolans. This is how you will always want to write your ratios on the problems you are solving with your ratios when it asks that.

Answer:

[tex]\frac{2}{1}, 2:1,[/tex]2

Step-by-step explanation:

We can actually use three forms here.

[tex]\frac{x}{y}[/tex]

[tex]x:y[/tex]

x to y.

Use the format for a ratio.

[tex]x:y[/tex]

So

[tex]x=2 \\ y = 1[/tex]

Now we can plug in.

[tex]\frac{2}{1} \\ \\ 2:1 \\ \\[/tex]

2 to 1