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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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What is the solution of the system of equations?
Elis [28]

Answer:

The answer to your question is:

x = 4

y = -1

z = -3

Step-by-step explanation:

                                  3 x + 2 y + z = 7

                                  5 x + 5 y + 4 z = 3

                                  3 x + 2 y + 3 z = 1

\left[\begin{array}{ccc}3&2&1\\5&5&4\\3&2&3\end{array}\right]

= 45 + 10 + 24 - (30 + 24 + 15)

= 79 - 69

Δ = 10

\left[\begin{array}{ccc}7&2&1\\3&5&4\\1&2&3\end{array}\right]

= 105 + 6 + 8 - (18 + 56 + 5)

= 119 - 79

Δx = 40

\left[\begin{array}{ccc}3&7&1\\5&3&4\\3&1&3\end{array}\right]

= 27 + 5 + 84 - ( 105 + 12 + 9)

= 116 - 126

Δy = -10

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= 15 + 70 + 18 - (10 + 18 + 105)

= 103 - 133

= -30

Δz = -30

x = Δx /Δ = 40/10 = 4

y = Δy/Δ = -10/10 = -1

z = Δz/Δ = -30/10 = -3

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3 years ago
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Melissa is stacking storage cubes in a crate the bottom of the crate is 8 inches by 12 inches. The volume of the crate is 768 cu
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Answer:

12 cubes can fit in the create.

Step-by-step explanation:

We know that the volume of a the crate is 768 in³, and the definition of the volume is:

V=A*h

Where:

  • V is the volume
  • A is the area (A=8*12 in²)
  • h is the height

So h=\frac{V}{A}=\frac{768}{12*8}=8 in    

Now, we know that the storage cube has a length of 4 in so we have a volume equal to 64 in³. Therefore we just need to divide 768 in³ by 64 in³ it is 12.

Finally, 12 cubes can fit in the create.

I hope it helps you!    

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3 years ago
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