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zvonat [6]
3 years ago
13

Write a formula to find the nth term of a geometric sequence -1/3,1/2,-3/4,9/8​

Mathematics
1 answer:
podryga [215]3 years ago
4 0

Answer:

Step-by-step explanation:

first term a = -1/3

Ratio r = 1/2÷ (-1/3) = 1/2 * (-3/1) =  -3/2

nth term = ar^(n-1)

=(-1/3)*(-3/2)^(n-1)

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Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multip
defon

Given:

There are 4 quarts in a gallon.

She wants to convert 6 quarts to a gallon.

To find:

Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.

Solution:

We have,

4\text{ quarts}=1\text{ gallon}

1\text{ quarts}=\dfrac{1}{4}\text{ gallon}

6\text{ quarts}=\dfrac{6}{4}\text{ gallon}

Here, 6 quarts is equal to \dfrac{6}{4} gallon. It means we need to multiply 6 by 4 in 4\text{ quarts}=1\text{ gallon} to find the answer.

5 0
3 years ago
Which equation is a proportion? <br> 1/3= 1/4 <br> 3/4=6/9<br> 5/8=20/32 <br> 7/9=21/28
rosijanka [135]
Well, 1/3 is equal to 0.3, and 1/4 is equal to .25, so it can't be a.
3/4 is equal to .75 and 6/9 is equal to 0.6, so it can't be b.
5/8 is equal to 0.625 and 20/32 is also equal to 0.625, so it could be c.
7/9 is equal to 0.7 and 21/28 is equal to 0.75, so it can't be D.
Your best bet is C. Because both sides of C are equal.
C 5/8=20/32
5 0
3 years ago
45. For customers generating their own solar power, ZG&amp;E charges them $3 per month per kilowatt (kWh) for excess electricity
uranmaximum [27]

(A) The customer that owns a 3-kW system exports 120 kWh monthly to the grid will have the following bills for both companies:

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For Ready Edison that collects $0.06 per kWh exported energy monthly, the computation of bill will be

\$20+(120kWh\times\frac{\$0.06}{1kWh})=\$27.2

(B) The customer that owns a 5-kW system exports 300 kWh monthly to the grid will have the following bills for both companies:

For ZG&E that collects $3 per kWh on a monthly basis, the monthly bill will be

300kWh\times\frac{\$3}{1kWh}=\$900

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4 0
1 year ago
Someone help me out with this question please
storchak [24]

Answer: 9.1

Step-by-step explanation:

Add all of the numbers up and divide by 8

6 0
3 years ago
Read 2 more answers
A rectangle and a square have the same area. a. The width of the rectangle is w inches. The length of the rectangle is 15 inches
harkovskaia [24]

9514 1404 393

Answer:

  a) w(4w-15)

  b) w²

  c) w(4w -15) = w²

  d) w = 5

  e) 5 by 5

Step-by-step explanation:

a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.

  A = w(4w -15)

__

b) If w is the side length, the area of the square is (also) the product of length and width:

  A = w²

__

c) Equating the expressions for area, we have ...

  w(4w -15) = w²

__

d) we can subtract the right side to get ...

  4w² -15w -w² = 0

  3w(w -5) = 0

This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.

The side length of the square is 5 units.

__

e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.

The rectangle and square have the same width and the same area, so the rectangle must be a square.

4 0
3 years ago
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