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4 years ago

Find a formula for the inverse.

Mathematics

1 answer:

LUCKY_DIMON [66]4 years ago

8 0

f(x) = 6x

To find the inverse, replace f(x) with Y:

y = 6x

Now switch the variables:

x = 6y

Solve for Y by dividing both sides by 6:

y = x/6

Now replace y with f^-1 (x):

f^-1 (x) = x/6

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forsale [732]

Answer:

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3 years ago

An audiometer produces a pure tone with a frequency f of 1200 hertz (cycles per second). The maximum pressure P produced from th

Scilla [17]

Answer: Pressure(t) = 5mP*sin(191.08*t)

Step-by-step explanation:

The information we have:

Maximum pressure P = 5 mP

frequency = 1200Hz

Period = 1/frequency = (1/1200) seconds

when t = 0, P = 0, so we should use a sin function (because sin(0) = 0)

Then we can write this as:

Pressure(t) = P*sin(c*t)

where t is time in secnds, P is the maximum pressure 5mP, and c is a constant that depends on the period.

Pressure(t) = 5*sin(c*t)

knowing that the period is 1/1200 seconds, we have that:

c*1/1200 s = 2*3.14

c = 1200/(2*3.14) 1/s= 600/3.14 1/s

Our function is

Pressure(t) = 5mP*sin(191.08*t)

3 0

3 years ago

How much should be investigated at the end of every six months at 12% compounded quarterly in order to accumulate 50,000 after 6

Aleksandr [31]

Answer:

The correct answer is 12.55%

Step-by-step explanation:

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7 0

3 years ago

A. Plot the data for the functions f(x) and g(x) on a grid (SHOWN ABOVE)

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It would have to be A

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3 years ago

A tire company has developed a new type of steel-belted radial tire. Extensive testing indicates the population of mileages obta

Savatey [412]

Answer:

The guaranteed mileage should be 31800 miles.

Step-by-step explanation:

Consider the provided information.

It is given that the normally distributed with a mean of 40,000 miles and a standard deviation of 4,000 miles. Also the company desires that no more than 2 percent of the tires will fail to meet the guaranteed mileage.

That means the p < 0.02

Now with the help of the table the respective Z-score value of p < 0.02 is -2.05

From the provided information mean and standard deviation is given as $\mu = 40,000\ \text{and}\ \sigma = 4000$

Now use the formula: $z=\frac{x-\mu}{\sigma}$

Substitute the respective values in the above formula.

$-2.05=\frac{x-40000}{4000}$

$-8200=x-40000$

$-8200+40000=x$

$31800=x$

Hence, the guaranteed mileage should be 31800 miles.

4 0

3 years ago