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worty [1.4K]
3 years ago
12

A rectangular prism has a length of 714 inches, a width of 612 inches, and a height of 10 inches.

Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

  • 8 times

Step-by-step explanation:

<u>The volume of the prism:</u>

  • V = lwh

<u>If each of the dimensions is doubled, then the volume becomes:</u>

  • V₁ = 2l*2w*2h = 8lwh = 8V

The larger prism has 8 times greater volume

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Factor completely 4x4 − 24x3 + 36x2.
ipn [44]

The previous answer from another person got deleted, so I'm here to put it back in my own words.

(Edit: The answer is A)

First of all, you can take 4 out of each, so simplify everything by 4.

4(x^4 - 6x^3 + 9x^2)

Next, you can see that you're able to take out x^2

4x^2(x^2 - 6x + 9)

You can see that both x^2 and 9 are perfect squares, meaning you can crunch them together like this

(x+3)^2 or (x-3)^2

Of course, only one would work, and as fate has it, (x-3)^ produces x^2 - 6x + 9

This would turn the now factored equation into :

4x^2(x-3)^2 or 4x^2(x-3)(x-3), this means the answer is A

6 0
3 years ago
9. One winter day, the temperature increased
Andru [333]

Answer: A~ 45

Step-by-step explanation:

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3 years ago
Which is the graph of the sequence defined by the function f(x + 1) = Three-fifthsf(x) when the first term in the sequence is 37
nadezda [96]

Answer: On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).

Step-by-step explanation:

We have the relation:

f(x + 1) = (3/5)*f(x)

such that the first term is 375

Then:

f(1) = 375.

Using the above relation, we have that:

f(1 + 1) = f(2) = (3/5)*f(1) = (3/5)*375 = 225

Then we have the pair (2, 225)

The next term is:

f(2 + 1) = f(3) = (3/5)*f(2) = (3/5)*225 = 135

Then we have the pair (3, 135)

the next term is:

f(3 + 1) = f(4) = (3/5)*f(3) = (3/5)*135 = 81

Then we have the pair (3, 81)

Then the correct option is the first one; On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).

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2 years ago
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Aleksandr-060686 [28]

Answer:

\sqrt{113} = x

Step-by-step explanation:

In right triangles the sum of square length of two legs is equal to square length of hypotenuse:

7^2 + 8^2 = x^2

49 + 64 = x^2 add like terms

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\sqrt{113} = x

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Answer: rasie 13 to 3/4

Step-by-step explanation:

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