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Westkost [7]
3 years ago
13

The length and the width of a rectangular prism triple, while the height remains the same. What will happen to the volume with t

hese changes?
volume becomes 18 times larger.
volume becomes 6 times larger.
volume becomes 9 times larger.
or volume becomes 3 times larger.
please help!
Mathematics
1 answer:
olganol [36]3 years ago
3 0
If the length, height, and width of the volume are L, W, and H, respectively. Then the volume would be equal to V = L(W)(H) = LWH.

Given that the length and width have tripled, then the new length and width of the prism would be 3L and 3H. Thus, the volume of the new prism is V = (3L)(3H)(W) = 9LWH.

Comparing this to the original volume, we can clearly see that the volume has increased 9 times after the changes.

Answer: Volume becomes 9 times larger.
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Write the first 6 answers to the sequence and please explain how you got them
Debora [2.8K]

Answer:

Step-by-step explanation:

a1 = 7

a2 = 4(7) = 28

a3 = 4(28) = 112

a4 = 4(112) = 448

a5 = 4(448) = 1792

a6 = 4(1792) = 7168

4 0
3 years ago
This is due tonight and i really need this answer, whoever answers god bless.
Luba_88 [7]

Answer:

a. f(1) = -4

b. One value of x for which f(x) = -1 : 2 (or -2)

Step-by-step explanation:

a. To find f(1), we would have to find what the value of the function would be when x = 1. By using the given graph, we can find the f(1) by finding what the y-value is when x = 1. Looking at the graph, we can see that when x = 1, y = -4. Thus, f(1) = - 4.

b. Now we are also asked to find one value of x for which f(x) = -1. In other words, what values of x would make the value of the function equal to -1? We can find values of x for which f(x) = -1 by using the graph and seeing for which x-values would the y-value be -1. We can see that y = -1 at x = -2 and x = 2. So the values of x at which f(x) = -1 are -2 and 2. You can choose either one of these values.

I hope you find my answer and explanation to be helpful. Happy studying.

7 0
4 years ago
Alyssa is saving up for a computer and knows she'll need to spend at least $750 to get the one she wants. She saves $80 each mon
SOVA2 [1]

Answer:

80x\geq 750

She'll need to save at least 10 months to be able to go buy the computer.

Step-by-step explanation:

Let

x ----> the number of months

we know that

The inequality that represent this situation is equal to

80x\geq 750

solve for x

x\geq 750/80

x\geq 9.4\ months

therefore

The minimum number of months is 10

6 0
3 years ago
Compare the dimensions of the prisms. How many times greater is the surface area of the green prism than the surface area of the
vfiekz [6]

Answer:

The surface area of the green prism is 6.25 times greater than the surface area of the blue prism.

Step-by-step explanation:

The surface area of both prisms consists of six rectangles: top, base, front, back, left side and right side. In terms of surface area, top=base, front=back and left side=right side, so the total surface area for each prism is:

2(base area)+2(back area)+2(side area)

=2((base area)+(back area)+(side area))

Area of blue prism = 2((base area)+(back area)+(side area))

=2((4*2)+(4*10)+(2*10))

=2(8+40+20)

=2(68)

=136 cm²

Area of green prism = 2((base area)+(back area)+(side area))

=2((10*5)+(25*10)+(25*5))

=2(50+250+125)

=2(425)

=850 cm²

850cm² is 6.25 times greater than 136cm² <em>(850/136=6.25)</em>, so therefore, the surface area of the green prism is 6.25 times greater than the surface area of the blue prism.

3 0
3 years ago
02
Marrrta [24]

Answer:

Susan is riding her bike. The distance she travels varies directly with the number of revolutions (turns) her wheels make. See the graph below.

23

20

8 0
3 years ago
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