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Pani-rosa [81]
2 years ago
10

Solve for n. (7^2)^4 = n^8

Mathematics
1 answer:
enyata [817]2 years ago
4 0
7^2x4 = n^8
7^8 = n^8
n = 7
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Yakvenalex [24]

Answer:

A) 30 cubes.

B) 30 units³.


Step-by-step explanation:

A) 1. Calculate the volume of the rectangular prism, as following:

Vr=(lenght)(width)(height)

2. You have that:

- The length is: 1^{\frac{1}{2}}ft=1.5ft

- The width is: 1ft

- The heigth is: 2^{\frac{1}{2}}ft=2.5ft

3. Substitute these values into the formula:

Vr=(1.5ft)(1ft)(2.5ft)=3.75ft^{3}

4. The volume of one cube is:

Vc=side^{3}

5. The length of one side is: \frac{1}{2}ft=0.5ft

6. Substitute this value into the formula:

Vc=(0.5ft)^{3}=0.125ft^{3}

7. The number of small cubes that can be packed in the rectangular prism is:

cubes=\frac{Vr}{Vc}\\cubes=\frac{3.75ft^{3}}{0.125ft^{3}}\\cubes=30

B) 1. The length, the width and the height of the rectangular prism in term of units cubes is:

Length=\frac{1.5ft}{0.5ft}=3units

Width=\frac{1ft}{0.5ft}=2units

Heigth=\frac{2.5ft}{0.5ft}=5units

2. Therefore, the volume of the rectagular prism in terms of the small cube and a unit cube is:

Vr=(3units)(2units)(5units)=30units^{3}

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Answer:

P- number?

Step-by-step explanation:

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I need help ASAP (20points)
Leto [7]

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y = 3x + 20...eqn 2

subst for y in eqn 1...

=> x^2 +2x = 3x +20

=> x^2 - x - 20 =0

=> (x-5) (x+4) =0

=> x = 5 or -4

for x =5, y = 35 (sub for x in eqn 1 or 2)

for x = -4, y = 8 (sub for x in eqn 1 or 2)

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Step-by-step explanation:

C. The system of equations is unsolvabl

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ExtremeBDS [4]

Answer: 36x^2

Step-by-step explanation:

Hi! I usually hate to use links, but I actually just answered this same question for someone else. I would copy and paste, but my copy and paste is screwing up the format making it super hard to read. I'm attaching the link instead. Hope this helps!

brainly.com/question/26017159?cb=1639960292092

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