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3 years ago

The formula T = 1/f relates the period of a sound wave T to its frequency f. Solve this formula for f.

2 answers:

8 0

T = 1/f
We solve for f. What we can do here is to get the reciprocal of both sides to get f: 
reciprocal of T: 1/T 
reciprocal of 1/f: f 
Therefore 
1/T = f, or 
f = 1/T

Liono4ka [1.6K]3 years ago

7 0

$T=\frac{1}{f}$

$multiply \space\ both \space\ sides \space\ by \space\ f$

$Tf=1$

$divide \space\ both \space\ sides \space\ by \space\ T$

$f=\frac{1}{T}$

You might be interested in

An education researcher claims that 58% of college students work year-round. In a random sample of 400 college students, 232

Hatshy [7]

Answer:

The proportion of college students who work year-round is 58%.

Step-by-step explanation:

The claim made by the education researcher is that 58% of college students work year-round.

A random sample of 400 college students, 232 say they work year-round.

To test the researcher's claim use a one-proportion z-test.

The hypothesis can be defined as follows:

H₀: The proportion of college students who work year-round is 58%, i.e. p = 0.58.

Hₐ: The proportion of college students who work year-round is 58%, i.e. p ≠ 0.58. C

Compute the sample proportion as follows:

$\hat p=\frac{232}{400}=0.58$

Compute the test statistic value as follows:

$z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.58-0.58}{\sqrt{\frac{0.58(1-0.58)}{400}}}=0$

The test statistic value is 0.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

Compute the p-value for the two-tailed test as follows:

$p-value=2\times P(z$

*Use a z-table for the probability.

The p-value of the test is 1.

The p-value of the test is very large when compared to the significance level.

The null hypothesis will not be rejected.

Thus, it can be concluded that the proportion of college students who work year-round is 58%.

6 0

4 years ago

A club raises $3,207 to buy stuffed animals for a local children's hospital. Each stuffed animal costs $17. What is the maximum

Ksju [112]

Answering:

188

Explaining:

To solve this problem, we must divide the total amount of money raised by the cost of the stuffed animals. Each stuffed animal costs $17. The club raised $3,207 to buy said stuffed animals. By dividing the money earned, which is also the money the club is able to spend, by the cost of a single/one stuffed animal, we will get how many stuffed animals the club can purchase with the money they currently possess. Our equation will look like this: 3,207 ÷ 17.

After dividing 3,207 by 17, we have the number 188.64705882. This can be rounded to the nearest tenth to create the simpler yet still accurate number 188.6.

Our final step is to round 188.6 down to the whole number it already has. (That is to say, simply cut off the fraction and remove it to get our answer.) This step must be done because we are buying stuffed animals in a real-world situation. The club would not be able to purchase part of a stuffed animal for a fraction of the cost, and the cost of the stuffed animals in the problem is a fixed value. This means that the fraction is irrelevant since we cannot purchase anything with it, effectively making it totally irrelevant to the answer. After removing the fraction from 188.6, we are left with 188.

Therefore, the maximum number of stuffed animals the club can buy is 188 stuffed animals.

4 0

3 years ago

What is the perimeter of the rectangle?

lara [203]

Answer:

A 6x+11 that is the answer

4 0

3 years ago

Perpendicular to x=1 and passing through (7,11)

Igoryamba

<h3>Question:</h3>

Find the equation of line perpendicular to x = 1 and passing through (7, 11)

<h3>Answer:</h3>

The equation of line Perpendicular to x = 1 and passing through (7, 11) is y = 11

<h3>Solution:</h3>

Given that line is perpendicular to x = 1 and passing through (7, 11)

We have to find the equation of line

The equation of the line in standard form is x = 1

This is a vertical line, so the perpendicular line will be a horizontal line of the form y = b

Since we are given that the line should pass through the point (7, 11) then the equation of the line is y = 11

7 0

3 years ago

the graph below has the same shape as the graph g(x)=x^2 but it is shifted down 3 units and to the left 2 units what is this equ

sukhopar [10]

Answer:

Option (C)

Step-by-step explanation:

Parent function g(x) = x² [Vertex at the origin (0, 0)]

When this function is shifted 3 units down,

Rule to be followed,

g(x) → g(x) - 3

So, g'(x) = x² - 3

Followed by 2 units shift to the left,

Rule to be followed,

g'(x) → g'(x + 2)

F(x) = (x + 2)² - 3

Therefore, Option (C) will be the answer.

3 0

4 years ago