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2 years ago

Find the Laplace Transform of the following function. f(t) = 10 cos (12t+ 60°) u(t)

Mathematics

1 answer:

allsm [11]2 years ago

8 0

Answer:

L(f(t)) = $\frac{5s - 60\sqrt{3} }{s^2 + 144}$

Step-by-step explanation:

f ( t ) = 10 cos ( 12t + 60°) u(t)

attached below is a detailed solution of the given problem

L(f(t)) = $\frac{5s - 60\sqrt{3} }{s^2 + 144}$

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24 students in a class took an algebra test <br><br> If 18 students passed what percent passed

Anuta_ua [19.1K]

Answer: 75%

We know that 1/4 of 24 (25%) is 6, 6 fits into 18 three times and 25 times 3 is 75. So the answer is 75%

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2 years ago

The management of an electronics firm has determined that the profit the company earns is a function of thenumber of employees i

ruslelena [56]

we have the function

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7 months ago

a student studies the same amount of time each day for a test in 4 days she studied 60 minutes which equation shows this relatio

Keith_Richards [23]

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2 years ago

An electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricit

TiliK225 [7]

Answer:

atleast 385

Step-by-step explanation:

Given that an electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricity, they would like know the mean daily power usage for homes there.

Population std deviation = $\sigma = 50$

Sample size = $n$

STd error of sample mean = $\frac{50}{\sqrt{n} }$

Margin of error for 95% would be Critical value ( std error)

Here since population std dev is known we can use Z critical value= 1.96

$1.96*\frac{50}{\sqrt{n} }19.6^2\\n>384.16$

Sample size should be atleast 385

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3 years ago

Can someone please check this I'm not sure if it's y=126 or is the 126 negative

timurjin [86]

So to solve for y, subtract 108 from each side.
The equation becomes -y=126

Since you don't want y to be negative then divide each side by -1 this will flip all of the signs (positives become negative and vice versa) without changing the number.

So the equation is now y= -126

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2 years ago