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olga_2 [115]
2 years ago
12

What is the 12th term of the geometric sequence -4, -12, -36

Mathematics
1 answer:
djverab [1.8K]2 years ago
3 0

Answer:

-708,588

Step-by-step explanation:

If you continue the sequence by multiplying each term by 3, you will eventually get -708,588 as the 12th term.

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The mean of the weights of a group of 100 men and women
Arte-miy333 [17]

Answer:

Step-by-step explanation:

160lb.

The mean of the weights of a group of 100 men and women is 160lb. If the number of men in the group is 60 and the mean weight of the men is 180lb, what is the mean weight of the women? For a set of data, the lower quartile is 19, the median is 31, and the upper quartile is 48.

7 0
2 years ago
A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 4x. The container must contain 12ft^3
zheka24 [161]

The height of the container should be equal to 2.57 cm, so as to minimize cost.

<h3>How to calculate the height?</h3>

First of all, we would determine the volume of the rectangular container by using this formula:

Volume = l × w × h

Where:

  • l represents the length.
  • w represents the width.
  • h represents the height.

Substituting the given parameters into the formula, we have;

Volume = x × 4x × h

Volume = 4x²h

At a volume of 12 ft³, we have:

12 = 4x²h

h = 12/4x²

h = 3/x²

For the total area of top and bottom, we have:

Area = (x × 4x) + (x × 4x)

Area = 4x² + 4x²

Area = 8x² sq. units.

Thus, the cost of top and bottom is given by:

Cost = 8x² × 1.50

Cost = $12x²

For the total area of all four sides, we have:

Area = (x × h) + (x × h) + (4x × h) + (4x × h)

Area = xh + xh + 4xh + 4xh

Area = 10xh sq. units.

Thus, the cost of all four sides is given by:

Cost = 10xh × 4.50

Cost = $45xh.

Also, the cost function would be given by:

C(x) = 12x² + 10xh

C(x) = 12x² + 10x(3/x²)

C(x) = 12x² + 30/x

Taking the first derivative, we have:

dC/dx = 24x - 30/x²

24x = 30/x²

24x³ = 30

x³ = 30/24

x = 1.08

Therefore, the height will be:

h = 3/x²

h = 3/1.08²

h = 3/1.1664

Height, h = 2.57 cm.

Read more on minimum height here: brainly.com/question/27308167

#SPJ1

5 0
1 year ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-3%7D%7Bx%2B2%7D%20%3D%5Cfrac%7B1%7D%7B5%7D" id="TexFormula1" title="\frac{x-3}{x+2
Shkiper50 [21]

Answer:

x=17/4

Step-by-step explanation:

(x-3)/(x+2)=1/5

cross product

1(x+2)=5(x-3)

x+2=5x-15

5x-x-15=2

4x-15=2

4x=2+15

4x=17

x=17/4

3 0
3 years ago
Use break apart method to find the product 26x5
iogann1982 [59]

26×5

|

20 6 = 26

×5 ×5

—— ——

100 + 30

130

4 0
2 years ago
Someone answer please ASAP need help as soon as possible Worth 16 points ​
Greeley [361]

Answer:

c

Step-by-step explanation

im sorry for not explaining im not good at that just trust me

3 0
3 years ago
Read 2 more answers
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