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Rudik [331]
3 years ago
7

Choose all of the expressions that can be used to find the volume of the rectangular prism.

Mathematics
1 answer:
Ulleksa [173]3 years ago
3 0

Answer:

C. (6 × 5) × 2 = 60 m³

D. 5 × (6 × 2)

E. (2 × 5) × 6

Step-by-step explanation:

Volume of a rectangular prism can be given as, V = L*W*H

L = 6

W = 5

H = 2

However, whichever way we choose to use as either L, W, or H, we would still get the same value as the volume.

Thus:

✔️V = (6 × 5) × 2 = 60 m³

✔️V = 5 × (6 × 2) = 60 m³

✔️V = (2 × 5) × 6 = 60 m³

These are the three expressions that can be used to find the volume.

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I could really use someone’s help on this !
ELEN [110]

Answer:

(fg)(x) = 12x^3 + 9x^2 + 28x + 21

Third option

Step-by-step explanation:

(fg)(x) = (3x^2 + 7)(4x + 3)

(fg)(x) = = (3x^2)(4x) + (3x^2)(3) + (7)(4x) + (7)(3)

(fg)(x) = 12x^3 + 9x^2 + 28x + 21

8 0
4 years ago
Find the surface area of the prism.
Elanso [62]

Answer:    26

Step-by-step explanation:

I would say 26 because you multiplying 3 and 4 and then add whatever number you get for 8 and 5.

3 0
2 years ago
In a recent survey of monetary donations made by college graduates, the following information was obtained: 91 graduates had don
vodka [1.7K]

Answer: a) 11.26% and b) 50.23%

Step-by-step explanation:

Number of graduates donated to a political campaign n(A) = 91

Number of graduates donated to assist medical research n(B) = 76

Number of graduated to help preserve the environment n(C) = 131

Number of graduated donated to all n(A∩B∩C) = 27

Number of graduates donated to none = 24

Number of graduated donated to political campaign and to medical research n(A∩B) = 32

Number of graduates donated to medical research and to preserve the environment n(B∩C) = 48

Number of graduates  donated to a political campaign and to preserve the environment n(C∩A) = 56

Now,

n(U)=n(A)+n(B)+n(C)-n(A∩B)-n(B∩C) -n(C∩A)+n(A∩B∩C)+n(none)

n(U)=91+76+131-32-48-56+27+24=213

So, What percent of the college graduates donated to none of the three listed causes?

Percentage would be

\dfrac{24}{213}\times 100\\\\=11.26\%

(b) What percent of the college graduates donated to exactly one of the three listed causes?

Exactly one = 91+76+131-2(32-56-48)+3(27)=107

Percentage would be

\dfrac{107}{213}\times 100\\\\=50.23\%

Hence, a) 11.26% and b) 50.23%

4 0
3 years ago
Does anyone know the answer?
uysha [10]

Answer:

15°

Step-by-step explanation:

2x+5=3x

5=3x-2x

5=x

Now we can solve the angle.

<BAD=2x+5 = 2(5)+5 = 10+5 = 15°

6 0
3 years ago
Sabrina is researching the growth of a population of horses on a ranch. She models the population of horses using the function b
Natali [406]
For this case, the first thing you should do is pass the number given to percentage.
 We have then:
 b = 1.35
 The percentage is:
 (1.35) * (100) = 135%
 Therefore, the growth is:
 135% - 100% = 35%
 Answer:
 
If b = 1.35, the annual percent growth rate of the number of horses would be 35%.
3 0
3 years ago
Read 2 more answers
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