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vovikov84 [41]
2 years ago
14

Solve the formula for the specified variable. D=1/2fk for f f=

Mathematics
1 answer:
Andreyy892 years ago
4 0
We are asked to solve the formula D=\frac{1}{2}fk for f. Starting off, we can divide both sides by k, so we are left with only the variable f on the right-hand side. Next, we need to multiply the reciprocoal of \frac{1}{2}, which is 2 to both sides. This gives us 2*\frac{D}{k}=f, which, when simplified, gives us \boxed{f=\frac{2D}{k}}. Hope this helped and have a phenomenal day!
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Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the lib
Alex73 [517]

Answer: The largest angle formed during his trip is at the mall between his home and the library.

Step-by-step explanation:

Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.

The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.

So, the largest angle formed during his trip is at the mall between his home and the library.

Feel free to ask for more if needed or if you did not understand something.

7 0
2 years ago
Read 2 more answers
A bookstore sells 1 book for $14.75. Which table represents the relationship between number of books and the total price?
babymother [125]

Answer:

Number of books sold = 14.75*x

Step-by-step explanation:

8 0
2 years ago
Consumers Energy states that the average electric bill across the state is $67.16. You want to test the claim that the average b
aleksandr82 [10.1K]

Answer:

B: No error has occured

Step-by-step explanation:

In statistical hypothesis testing, we have two types of errors namely Type I error and Type II error.

Type I error occurs when we reject the null hypothesis although it is true. Meanwhile, Type II error occurs when we fail to reject the null hypothesis null hypothesis even though it is false.

Now, we are given the null and alternative hypothesis as;

Null Hypothesis: μ ≤ 67.16

Alternative Hypothesis: μ > 67.16.

Where μ represents the statewide average bill.

We are also given the true statewide average bill is $51.28.

Now, the true statewide average bill falls within the range of the null hypothesis given.

Thus, we can't reject the null hypothesis since it is true.

Now, we are told the null hypothesis is not rejected and that is correct.

Thus, there is no error as it doesn't fall into the type I or the type II error.

5 0
2 years ago
The graph shows the relationship between the number of minutes Maria spent jogging on a treadmill and the distance she jogged.
alina1380 [7]

Answer:

  0.1 miles per minute

Step-by-step explanation:

The line goes through (0, 0), so Maria's speed is the ratio of miles to minutes:

  (4.5 mi)/(45 min) = 0.1 mi/min

4 0
2 years ago
Water is poured into a conical paper cup at the rate of 3/2 in3/sec (similar to Example 4 in Section 3.7). If the cup is 6 inche
aliya0001 [1]

Answer:

The water level rising when the water is 4 inches deep is \frac{3}{8\times \pi} inch/s.

Step-by-step explanation:

Rate of water pouring out in the cone = R=\frac{3}{2} inch^3/s

Height of the cup = h = 6 inches

Radius of the cup = r = 3 inches

\frac{r}{h}=\frac{3 inch}{6 inch}=\frac{1}{2}

r = h/2

Volume of the cone = V=\frac{1}{3}\pi r^2h

V=\frac{1}{3}\pi r^2h

\frac{dV}{dt}=\frac{d(\frac{1}{3}\pi r^2h)}{dt}

\frac{dV}{dt}=\frac{d(\frac{1}{3}\pi (\frac{h}{2})^2h)}{dt}

\frac{dV}{dt}=\frac{1}{3\times 4}\pi \times \frac{d(h^3)}{dt}

\frac{dV}{dt}=\frac{1\pi }{12}\times 3h^2\times \frac{dh}{dt}

\frac{3}{2} inch^3/s=\frac{1\pi }{12}\times 3h^2\times \frac{dh}{dt}

h = 4 inches

\frac{3}{2} inch^3/s=\frac{1\pi }{12}\times 3\times (4inches )^2\times \frac{dh}{dt}

\frac{3}{2} inch^3/s=\pi\times 4\times \frac{dh}{dt} inches^2

\frac{dh}{dt}=\frac{3}{8\times \pi} inch/s

The water level rising when the water is 4 inches deep is \frac{3}{8\times \pi} inch/s.

6 0
2 years ago
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