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Leya [2.2K]
3 years ago
14

Solve the equation below for x. 500 = 25e ^ (2x)

Mathematics
1 answer:
Zigmanuir [339]3 years ago
7 0

Answer:

x = i π n + log(20)/2 for n element Z

Step-by-step explanation:

Solve for x:

500 = 25 e^(2 x)

500 = 25 e^(2 x) is equivalent to 25 e^(2 x) = 500:

25 e^(2 x) = 500

Divide both sides by 25:

e^(2 x) = 20

Take the natural logarithm of both sides:

2 x = 2 i π n + log(20) for n element Z

Divide both sides by 2:

Answer: x = i π n + log(20)/2 for n element Z

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A subway train travels at a rate of 50 miles per hour. Write and solve an equation to find the number of minutes it take for the
AVprozaik [17]

Answer:

12 minutes

Step-by-step explanation:

 <u>50 miles</u>      =    <u>10 miles</u>                  << Equivalent

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7 0
2 years ago
The mass of the Eiffel Tower is about 9.16 ⋅ 106 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 108 kilograms. Approxim
olga55 [171]

Answer:

7.96 *10^8kg

Step-by-step explanation:

Given

Eiffel = 9.16 * 10^6\ kg

Golden\ Gate =8.05 * 10^8kg

Required

Determine the difference in mass

This is calculated by subtracting the mass of Eiffel tower from the mass of Golden gate bridge

Difference = Golden\ Gate - Eiffel

Difference = 8.05 * 10^8 - 9.16 * 10^6

Express 10^8 as 10^6 * 10^2

Difference = 8.05 * 10^2*10^6 - 9.16 * 10^6

Express 10^2 as 100

Difference = 8.05 * 100*10^6 - 9.16 * 10^6

Difference = 805 *10^6 - 9.16 * 10^6

Factorize:

Difference = (805- 9.16) * 10^6

Difference = 795.84 * 10^6

Factorize the decimal number

Difference = 7.9584 *10^2 * 10^6

Difference = 7.9584 *10^8

Approximate:

Difference = 7.96 *10^8

7 0
3 years ago
The Area of a rectangle is 3x2 + 9x square inches. The length of the rectangle is 3x inches.
Roman55 [17]

Width of the rectangle is x + 3 in

Step-by-step explanation:

  • Step 1: Given area of the rectangle = 3x² + 9x in². Length = 3x in. Find width.

Area = length × width

3x² + 9x = 3x × width

∴ Width = 3x² + 9x/3x = x + 3 in

3 0
3 years ago
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