Seven fewer than the product of three and y

1 answer:

7 0

Product of three and y = 3y
<span>so
Seven fewer than the product of three and y: 3y - 7

answer
</span>3y - 7
<span>
hope that helps</span>

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Help asap! 30 pts and brainliest!

myrzilka [38]

Answer:

July

Step-by-step explanation:

Took terst

3 0

3 years ago

The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y

Cerrena [4.2K]

We have been given that the inverse variation $y=\frac{3\times 10^8}{x}$ shows the relationship between wavelength in meters, x, and frequency, y. We are asked to find the wavelength for radio waves with frequency $3\times 10^9$ .

To find the required wavelength, we substitute $y=3\times 10^9$ in our given equation and solve for x as:

$3\times 10^9=\frac{3\times 10^8}{x}$

$x=\frac{3\times 10^8}{3\times 10^9}$

We can see that both numerator and denominator has 3, so we can cancel it out.

$x=\frac{1\times 10^8}{1\times 10^9}$

Using quotient rule of exponents $\frac{a^m}{a^n}=a^{m-n}$ , we will get:

$x=1\times 10^{8-9}$

$x=1\times 10^{-1}$

Therefore, the wavelength for radio waves would be $1\times 10^{-1}$ meters and option B is the correct choice.

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3 years ago

Read 2 more answers

In one year, three awards (research, teaching, and service) are given to a class of 25 graduate students in a statistics departm

allochka39001 [22]

Answer:

13,800

Step-by-step explanation:

This is a permutation, not a combination, because order matters.

Here's why:

Arbitrarily, let's say that the three students chosen for the award are Abby, Bob, and Charlie. The order of which each award is given to the three of them matters, because otherwise they would be receiving different awards. For example, if Abby gets the research award, Bob gets the teaching award, and Charlie gets the service award, this would be notably different than if Abby got the teaching award, Bob got the service award, and Charlie got the research award.

Therefore, for the first award, we have 25 people to choose from. After we select that person, we have 24 people to choose from, since the problem stipulates that each student can receive at most one award. Then 23, and so on.

Since we're choosing three people to give awards to, there are:

$25\cdot 24\cdot 23=\boxed{13,800}$ permutations. Because order matters (refer to explanation above), this is our final answer.