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11111nata11111 [884]
3 years ago
7

What is the 8th term of the geometric sequence with this explicit formula ?

Mathematics
1 answer:
Alina [70]3 years ago
7 0

Answer: C.) - 896

Step-by-step explanation:

Given the explicit formula :

An = 7 × (-2)^(n-1)

The 8th term of the geometric sequence using the formula will be :

n = 8

A8 = 7 × (-2)^(8-1)

A8 = 7 × (-2)^7

A8 = 7 × (-128)

A8 = - 896

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Simplify the exponent:

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5.

A globe is a sphere, use the formula for the volume of a sphere:

\sf V=\dfrac{4}{3}\pi r^3

The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:

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6 0
3 years ago
Read 2 more answers
Can u guys help me with number 1 (a) I’m really struggling and it will mean a lot!
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once you make a table that looks like this, in this kind of situations.

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A store sells black ink pens for $5 and red ink pens for $4. John wishes to buy 20 pens but doesn’t wish to spend more than $92.
Zina [86]

Answer:  4r + 5(20-r) \le 92

=======================================

Explanation:

r = number of red pens

4r = cost of buying r red pens

example: if r = 10, then 4r = 4*10 = 40 is the total cost of buying 10 red pens

If John buys r red pens, then he must buy 20-r black pens so that r and 20-r add to 20.

John buys 20-r black pens, and at $5 each, so it will cost 5(20-r) dollars for just the black pens alone.

In total, John spends 4r + 5(20-r) dollars for all the pens (red & black)

We want $92 be the most he spends. This is the ceiling or highest value possible.

Therefore,

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--------------------

Extra info:

If you want to solve for r, then

4r + 5(20-r) \le 92

4r + 5(20)+5(-r) \le 92 distribute

4r + 100 - 5r \le 92  

100 - r \le 92

100-r+r \le 92+r add r to both sides

100 \le 92+r

100-92 \le 92+r-92 subtract 92 from both sides

8 \le r

r \ge 8

So John must buy at least 8 red pens. The most he can buy is 20 red pens since he wants 20 pens total.

8 0
3 years ago
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