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r-ruslan [8.4K]
3 years ago
10

Simplify the expression. Write the answer using scientific notation. (5x10^5)^-2 A. 0.04x10^-10 B. 4.0x10^-11 C. -10x10^-10 D. 4

.0x10^-12
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
5 0

Simplify the expression

(5*10^5)^-2

It can be simplified as below:

(5*10^5)^{-2}=\frac{1}{(5*10^5)^2} \\\\(5*10^5)^{-2}=\frac{1}{25*10^{10}} \\\\(5*10^5)^{-2}=\frac{1}{25}*10^{-10}\\\\ (5*10^5)^{-2}=0.04*10^{-10}\\

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At how many different times will the digit 7 appear on a digital clock in 24 hours?(show your work and explain your strategy bel
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There are 24 hours in one day. when you count from 1-24, (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24) the number 7 shows up twice
3 0
4 years ago
the largest of these five squares has side length 27 units, and each additional square's side length is 2/3 as large as the one
RoseWind [281]

The total area is 1289.41 units².

The total perimeter is 281.32 units.

<h3>What is the total area and perimeter?</h3>

The first step is to determine the side lengths of the other squares:

  • Length of the second square = 2/3 x 27 = 18
  • Length of the third square = 2/3 x18 = 12
  • Length of the fourth square = 2/3 x 12 = 8
  • Length of the fifth square = 2/3 x 8 = 5.33

Area of a square = length²

Perimeter of a square = 4 x length

  • Area of the first square = 27² = 729
  • Area of the second square = 18² = 324
  • Area of the first square = 12² = 144
  • Area of the first square = 8² = 64
  • Area of the first square = 5.33² = 28.41

Total area = sum of the areas of the 5 squares = 1289.41 units²

  • Perimeter of the first square = 4 x 27 = 108 units
  • Perimeter of the second square = 4 x 18 = 72
  • Perimeter of the third square = 4 x 12 = 48
  • Perimeter of the fourth square = 4 x 8 = 32
  • Perimeter of the fifth square = 4 x 5.33 = 21.32

Total perimeter = 281.32 units

To learn how a square, please check: brainly.com/question/9030544

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2 years ago
North safety products manufactures butyl gloves that offer permeation resistance to gas or water vapors for workers that use dan
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Company fixed cost = $10 million = $10,000,000

Variable cost per pair = $5

Company charges each pair = $15

Hence the company makes $10 profit per pair regardless the company fixed cost and only considering the variable cost.

Let subtract the variable cost per pair from the company charging each pair = 15 - 5 = $10

Thus the company now makes $10 per pair, and it has to sell 1,000,000 pairs of gloves to reach the break-even point. The break-even point refers to the point where total cost and revenue are equal.

<span>Thus for 1,000,000 pairs, the company total earning = 10 x 1,000,000 = $10,000,000 = $10 million  </span>

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