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s344n2d4d5 [400]
3 years ago
12

The dimensions for a rectangular prism are x + 3 for the length, x + 2 for the width, and x for the height. What is the volume o

f the prism? Enter your answer as a polynomial in standard form.
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

Answer:

the answer will be x^3 + 2x^2 + 9x

Step-by-step explanation:

as :

volume = l* w* h

= X * (X + 2) * (X + 3)

= X ^ 2 + 2 X (X + 3)

= x ^2 (X + 3) + 2x (X + 3)

= x^3 + 3x +2x ^2 + 6x

= x^3 + 2x^2 + 9x

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What is the sum of the arithmetic series
docker41 [41]

Answer:

S_ {12} = 192

Step-by-step explanation:

The nth term of the given arithmetic sequence is

U_n = 3 + 2n

The first term of this series is:

U_1 = 3 + 2(1) = 5

The last term of this series is when

n = 12

U_ {12}= 3 + 2(12)

U_ {12}= 3 + 24 = 27

The sum of the first n terms of an arithmetic series when the first an last term is known is given by:

S_n =  \frac{n}{2}(a + l)

Where a=5 is the first term and l=27 is the last term.

S_ {12} =  \frac{12}{2}(5 + 27)

S_ {12} =6(32) =19 2

6 0
3 years ago
How do I solve this?
xenn [34]
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4 0
3 years ago
38% of what is 152? Show work
marusya05 [52]
Take that certain number we are looking for as 'n'

38% ⇒ 0.38

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Divide by 0.38

0.38n = 152
 /0.38      /0.38

n = 400

So 38% of 400 is 152.
3 0
3 years ago
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8. A, B

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Step-by-step explanation:

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2 years ago
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