Select the correct answer. What is the range of the function shown on the graph?​

Using proportions, it is found that:

A proportion is a fraction of a total amount.

For the perimeter, as it is given in units, the scale factor is the same, hence it is of [tex]\frac{2}{3}[/tex].

For the area, as it is given in units squared, the scale factor is squared, hence:

[tex]\left(\frac{2}{3}\right)^2 = \frac{4}{9}[/tex]

For the volume, as it is given in cubic units, the scale factor is eleveted to the third power, hence:

[tex]\left(\frac{2}{3}\right)^3 = \frac{8}{27}[/tex]

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Answer:

$17.5

Step-by-step explanation:

divide 150 by 12 to get 12.5. 12.5 is what they paid per-person with the discount. add 5 to get 17.5 and that is the on-discounted price

The normal cost for an individual is $17.50.

Let's denote the normal cost for an individual as "N."

According to the given information, with the group package, the cost per person is $5 less than the normal cost for an individual. So, the cost for each scout in Tisha's troop is "N - $5."

There are 12 scouts in Tisha's troop, so the total cost for the group is given as $150.

We can set up an equation based on the total cost:

Total Cost = Cost per Person × Number of People

$150 = (N - $5) × 12

Now, let's solve for the normal cost for an individual (N):

$150 = 12N - $60

12N = $150 + $60

12N = $210

N = $210 / 12

N = $17.50

So, the normal cost for an individual is $17.50.

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Answer:

64%

Step-by-step explanation:

25 - 9 = 16, so 16 of the games were won by Sally's team.

16/25 = 64% of the games were won

Answer:

C:y = 3^x

Step-by-step explanation:

The answer is C because the rate of change is always -6.

Answer:

10.34 cm.

Step-by-step explanation:

First we need to calculate the angle between the hour and minute hand

We see that there are 5 *  5-minute intervals between the 2 hands and the clock has 12 * 5-minute intervals, so:

This is 5/12 * 360 = 150 degrees,

So we apply the Cosine Rule to the triangle:

x^2 = 4.5^2 + 6.2^2 - 2*4.5*6.2cos150

= 107.014

x = √107.14 = 10.34.

Missing length is 10.3cm to 1.d.p

The clock is a circle divided into 12

360/12=30 degrees for each part

1) 7 to 8

2) 8 to 9

3) 9 to 10

4) 10 to 11

5) 11 to 12

5 parts

30 x 5 = 150 degrees

We've got an angle between 2 lengths - cosine rule comes to mind for me.

a = root 6.2^2 + 4.5^2 - 2x6.2 4.5 x cos 150

= 10.34476764

length is 10.3cm to 1.d.p

(the others are to 1.d.p too)

Hope this helps!

Answer:

2nd option

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

the centre is at the midpoint of the endpoints of the diameter.

The coordinates of the centre is the average of the coordinates of the endpoints.

centre = ( [tex]\frac{-4+2}{2}[/tex], [tex]\frac{7-1}{2}[/tex] ) = ([tex]\frac{-2}{2}[/tex] , [tex]\frac{6}{2}[/tex] ) = (- 1, 3 )

the radius is the distance from the centre to either of the endpoints

using the distance formula to calculate r

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2[/tex]

with (x₁, y₁ ) = (- 1, 3 ) and (x₂, y₂ ) = (2, - 1 )

r = [tex]\sqrt{(2-(-1))^2+(-1-3)^2}[/tex]

  = [tex]\sqrt{(2+1)^2+(-4)^2}[/tex]

  = [tex]\sqrt{3^2+16}[/tex]

  = [tex]\sqrt{9+16}[/tex]

  = [tex]\sqrt{25}[/tex]

   = 5

then equation of circle is

(x - (- 1) )² + (y - 3)² = 5² , that is

(x + 1)² + (y - 3)² = 25

Answer:

Here is a picture of a right trapezoid with bases of 8 and 10 cm

Answer:

c

Step-by-step explanation:

because 3 x 3 = 9

               1 x 5 = 5

simplest form will be 1 4/5

Answer:

the answer is D) 300 π

Step-by-step explanation:

Formula for Area of sector is:

θ/360° * π * (r)^2

here,

θ= 30° and radius= 60 in

so, after we substitute, we get:

30/360* π* 60*60       after simplifying we get:

= 1/12* π* 5*60

=300π

Hope it helps.

Answer:

D

Step-by-step explanation:

area of sector=

[tex] \frac{theta}{360} \times \pi \: r {}^{2} \\ \\ \frac{30}{360} \times \pi \: (60) {}^{2} \\ \\ 300\pi[/tex]

360

Answer:

5

Step-by-step explanation:

pythagorean triple is 5-12-14 or use pythagorean theorem

b=[tex]\sqrt{ 13^{2} -12^{2} }=\\\sqrt{169-144} =\\\sqrt{25} =5[/tex]

Answer: 5

Step-by-step explanation: The square root of 13²- 12²

Answer:

37.9 liters

Step-by-step explanation:

Multiply the number of gallons by 3.785 to convert to liters

Multiplying by ten moves the decimal point over to the right

3.785 * 10 = 37.85

The tenths place is where the 8 is, and since 5 is [tex]\geq[/tex] (greater than or equal to) 5 that makes the 8 round up to a 9

resulting in...

10 gallons = 37.9 liters

hope this helps:)

Answer:

46 feet

Step-by-step explanation:

it is a 8-15-17 Pythagorean Triple (or you can use the Pythagorean theorem)

P=8+8+15+15=46

The perimeter of the rectangle with a length of 15 feet and has a diagonal that measures 17 feet is: A. 46 feet.

To find the perimeter of the rectangle, we need to know the width of the rectangle. Let's call the width of the rectangle W.

In a rectangle, the diagonal, length, and width are related by the Pythagorean theorem:

Diagonal² = Length² + Width²

In this case, the diagonal (D) is 17 feet, and the length (L) is 15 feet. So we have:

17² = 15² + W²

289 = 225 + W²

Now, let's solve for W:

W² = 289 - 225

W² = 64

W = √64

W = 8 feet

Now that we know the width is 8 feet, we can calculate the perimeter (P) of the rectangle:

Perimeter = 2 * (Length + Width)

= 2 * (15 + 8)

= 2 * 23

Perimeter = 46 feet

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Rate of change

Option B

Answer:

that means he will have 25.2

Answer:

60kph

Step-by-step explanation:

Distance = Rate X Time

640 = r x 4+ (r+5) x 7

640 = 4r + 7r + 35

640=11r + 35

640 - 35 = 11r

605 = 11r

r = 605 / 11

r= 55 kph

r=55 =5 =60 kph is the speed of the train

To see if the answer is right: 55 x 4 + 60 x 7 = 220 + 420 = 640 km

Answer:

2

Step-by-step explanation:

£1 = 100p

3*21p+2*37p+3*86p+x*160p (x is the number of notebooks)

63p+74p+258p+x*160p = 395p+x*160p

He paid £8 so he paid 800p

800p-395p = 405p

405p-85p = 320p

320p:160p = 2

He bought 2 notebooks

Answer: Choice B and Choice D

Step-by-step explanation:

4^-2 * 7^-2= 16*49=784

Answer:

B & C

Step-by-step explanation:

[tex]4^-^2*7^-^2[/tex] is equal to [tex]\frac{1}{784}[/tex]

[tex]\frac{1}{28^2}[/tex] is also requal to [tex]\frac{1}{784}[/tex]

[tex]\frac{7^-^2}{4^2}[/tex] is also equal to [tex]\frac{1}{784}[/tex]

Answer:

144 cm^2

Step-by-step explanation:

A square has equal sides, and so if one side is 12 cm, so are the rest.

So 12 * 12 = 144.

Answer:

c

Step-by-step explanation:

Answer:

9560

Step-by-step explanation:

Use a calculator or do long division.

You can also divide by 2 twice.

38240/2 = 19120

19120/2 = 9560

Answer: 9560

Answer:

9560

Step-by-step explanation:

30000÷4=7500

8000÷4=2000

200÷4=50

40÷4=10

0÷4=0

7,500+2,000+50+10+0=9,500+60=9,560

option B.

Calculations ↓

First, let's think of two numbers so that :

These numbers are :

4 and 1

Plug these numbers here :

(x+4) (x+1)

So the correct factored form of this expression is

Option B) (x+4)(x+1)

[tex]\footnotesize\text{hope\:helpful~}}[/tex]

Answer:

See below

Step-by-step explanation:

c will be tha same as the labelled angle = 99 degrees

  then c + b = a straight line = 180

             99 + b   = 180

                    b = 81 degrees

Answer:

Step-by-step explanation:

First, we need to calculate how many years will earn percent.

2010---->2025= 15 years elapsed. Now we have our time, we need to plug it in our compound interest formula=

Principal(rate+1)^time or A=P(1+R)^t

10,000(0.085+1)^15

=$33,997.43

To calculate how much Cam earned, you need to subtract from original amount.

=$33,997.43-10,000=

---->$23997.43

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From rectangle P and Q, the ratio of x to y is 25/18

An equation is an expression used to show the relationship between two or more numbers and variables.

Area of P = 40 * x = 40x cm²

Area of Q = y * (1.25 * 40) = 50y cm²

Given that area of Q = 90% if P = 0.9(40x) = 36x cm²

50y cm² = 36x cm²

x/y = 50/36 = 25/18

From rectangle P and Q, the ratio of x to y is 25/18

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Answer:

would you rather, i think

Answer:

C

Step-by-step explanation:

y=0 gives the straight horizontal line passing through (0,0)

y=3 also gives straight horizontal line passing through (0,3)

In order to find out which two lines are parallel, let's find the slope of each line first.

The slope of the line y=3x-2 is 3.

The slope of the line y=1/3x-3 is 1/3

The slope of the line y=x is 1

The slope of the line y=3 is 0

The slope of the line y=0 is 0

Now, if two lines have the same slope, they are parallel to each other.

So if a line's slope is 0, the line parallel to it has a slope of 0.

y=0 and y=3

hope helpful ~

Answer:

There are 126 8th grade A honor roll students.

Step-by-step explanation:

Answer:

2,714in^3

Step-by-step explanation:

V = pi*r^2*h
V = 3.14*6^2*24
V = 3.14*36*24
V = 2,714

The volume of the cylindrical fish tank is 2,714 inches cubed.

Answer:

Option A, [tex]2714\ in^3[/tex]

Step-by-step explanation:

Step 1:  Determine the volume of the cylinder

[tex]V=\pi r^2h[/tex]

[tex]V=\pi *(12\ in/2)^2*24\ in[/tex]

[tex]V=\pi *(6\ in)^2*24\ in[/tex]

[tex]V=\pi * 36\ in^2 *24\ in[/tex]

[tex]V = \pi *864\ in^3[/tex]

[tex]V=2,714\ in^3[/tex]

Answer:  Option A, [tex]2714\ in^3[/tex]

Answer:

1. one is smaller by 5 cm and one is larger by 5 cm

2. well they are similar to each other, but one is dilated and isn't

Answer:

C

Step-by-step explanation:

Because thats the answer