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3 years ago

Correct answer and good review

Mathematics

1 answer:

zlopas [31]3 years ago

7 0

Answer:

The one on the Top Left.

Step-by-step explanation:

The line is on the negative part of the graph, same as the numbers in the problem

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Could someone please help me? Thank you and explain the work because I don’t get this

lesya [120]

Answer:

5.59 times per second.

Step-by-step explanation:

Direct variation is in the form:

$y=kx$

Where k is the constant of variation.

Inverse variation is in the form:

$\displaystyle y=\frac{k}{x}$

In the given problem, the frequency of a vibrating guitar string varies inversely as its length. In other words, using f for frequency and l for length:

$\displaystyle f=\frac{k}{\ell}$

We can solve for the constant of variation. We know that the frequency f is 4.3 when the length is 0.65 meters long. Thus:

$\displaystyle 4.3=\frac{k}{0.65}$

Solve for k:

$k=4.3(0.65)=2.795$

So, our equation becomes:

$\displaystyle f=\frac{2.795}{\ell}$

Then when the length is 0.5 meters, the frequency will be:

$\displaystyle f=\frac{2.795}{.5}=5.59\text{ times per second.}$

5 0

3 years ago

Identify Arithmetic Mean, Geometric Mean and Harmonic Mean from the following averages: 56.4, 59.8 and 55.8

photoshop1234 [79]

If you would like to calculate the arithmetic mean, geometric mean, and harmonic mean from the following averages, you can calculate this using the following steps:

averages: 56.4, 59.8, 55.8
the number of values: 3

arithmetic mean:
(56.4 + 59.8 + 55.8) / 3 = 57.33

geometric mean:
(56.4 * 59.8 * 55.8)^(1/3) = 57.31

harmonic mean:
3 / (1/56.4 + 1/59.8 + 1/55.8) = 57.28

7 0

3 years ago

A concert hall has seven sections. Each section has twenty-three rows. Each row has fourteen seats. If the theater sells out for

gayaneshka [121]

If the theater sells out, 2254 people would have attended. With each ticket being 20 dollars, $45,080 would have been collected at the box office

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3 years ago

Underline all the ordered pairs (x,y) that are solutions to the equation y=2x+1.

Romashka [77]

Answer:

(3,7) (7,3) (−1,14) (0,1) (12,25)

(5,11) (0,12) (1,8) (12,0) (−1,−1)