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3 years ago

What is the first term of the geometric sequence presented in the table below?

1 answer:

8 0

Fron the table given:

A3 = 112,
A8 = - 3,584

An = A1 *r ^ (n-1)

=> A3 = A1 (r^2) = 112

A8 = A1(r^7) = - 3,584

=> - 3584 / 112 = (r^7) / (r^2)

=> (r^5) = - 32

=> r = - 2

=> A1 (- 2)^2 = 112

=> A1 = 112 / 4 = 28

Answer: a1 = 28

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What is the value of x?

tigry1 [53]

Answer:

x = 61

Step-by-step explanation:

To answer this question, we combine like terms:

44 + 59 + 74 = 177

The total will have to be 360, so....

177 + x + x + x = 360

177 + 3x = 360

360 - 177 = 183

So, 3x = 183

183 / 3 = 61

So, x = 61!

4 0

3 years ago

The right rectangular prism is made up of 48 cubes. Each cube has an edge length of inch. What is the volume of this prism?

Gnesinka [82]

Given:

The right rectangular prism is made up of 48 cubes.
Each cube has an edge length of 1/4 inch.

$~$

To Find:

What is the volume of this prism?

$~$

Solution:

$~$

<u>Using formula: </u>

$~$

$\sf \pmb {Volume \: of \: cube = {(side)}^{3} }$

$~$

Substituting values in the formula:

$~$

$\sf \longrightarrow \dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}$

$\sf \longrightarrow \dfrac{1}{64} \: {inch}^{3}$

$~$

Now,

Volume of 48 such cubes = Volume of 1 cube × 48 cubes

$~$

$\sf \longrightarrow \dfrac{1}{64} \times 48$

$\sf \longrightarrow \dfrac{48}{64}$

$\sf \longrightarrow \dfrac{3}{4} \: {inch}^{3}$

$~$

Hence,

Volume of prism is <u>3/4 inch^3</u>

7 0

2 years ago

An iPod sold for $300, which was 200% of the actual cost. What was the actual cost?

fgiga [73]

Answer:

If $300 is 200%, half of that would be 100%. Thus, $150 is the correct answer.

Step-by-step explanation:

3 0

2 years ago

I need help guys ok thinks

Serhud [2]

3/9 + 1/2 = 5/6
2 1/3 + 2 1/4 = 4 and 7/12

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3 years ago

Problem #4, solve for X

RideAnS [48]

Answer:

I am not 100% sure, however 6x-8=10 add 8 to both sides then youĺl get 6x=18 you divide 6 on both sides, then x will = to 3. I hope this helps

8 0

3 years ago