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kicyunya [14]
3 years ago
15

Which of the following is equivalent to (5) 7/3

Mathematics
1 answer:
Maslowich3 years ago
5 0
22/3 is the same as (5) 7/3. It’s the improper form.
You might be interested in
10 to the second power times 16.29
aksik [14]

Answer:

1629

Step-by-step explanation:

10 to the second power = 100

100 x 16.29 = 1629

3 0
3 years ago
Write out the first 5 outpouts of g(x)=2^x starting with G(1). If only you knew that the value of g(15) how would you determine
gtnhenbr [62]

The first 5 outputs are:

\begin{array}{c|c}x&2^x\\1&2\\2&4\\3&8\\4&16\\5&32\end{array}

As you can see, the outputs keep doubling each time we increment x by 1.

This can be written formally, observing that if you know the value of 2^x, the next value will be

2^{x+1}=2^x\cdot 2

So, again, we've shown that the next value is twice the previous one, so you have

g(16)=2g(15)

4 0
3 years ago
How would I solve this equation for mass (m)?
zaharov [31]
Simple...

you have: F= \frac{G m^{2} }{ d^{2} }

You want to find m-->>>

1.)Isolate m

d^{2} *F= \frac{G m^{2} }{ d^{2} } * d^{2}

Leaving you with...

F*d^{2}=G m^{2}

Keep isolating m-->>>

F* d^{2} =G m^{2}

\frac{F* d^{2} }{G} = \frac{G m^{2} }{G}

Square root to solve what just m is-->>>

\sqrt{ \frac{F* d^{2} }{G} } = \sqrt{ m^{2} }

=\sqrt{ \frac{F* d^{2} }{G}  } =m

That is how you solve for m...

Thus, your answer.
7 0
3 years ago
4TH TIME ASKING THIS!!! Please help me! Someone pleaseeee. I need the correct answers. I don’t want to fail
Alexeev081 [22]

Answer:

The functions are inverses; f(g(x)) = x ⇒ answer D

h^{-1}(x)=\sqrt{\frac{x+1}{3}} ⇒ answer D

Step-by-step explanation:

* <em>Lets explain how to find the inverse of a function</em>

- Let f(x) = y

- Exchange x and y

- Solve to find the new y

- The new y = f^{-1}(x)

* <em>Lets use these steps to solve the problems</em>

∵ f(x)=\sqrt{x-3}

∵ f(x) = y

∴ y=\sqrt{x-3}

- Exchange x and y

∴ x=\sqrt{y-3}

- Square the two sides

∴ x² = y - 3

- Add 3 to both sides

∴ x² + 3 = y

- Change y by f^{-1}(x)

∴ f^{-1}(x)=x^{2}+3

∵ g(x) = x² + 3

∴ f^{-1}(x)=g(x)

∴ <u><em>The functions are inverses to each other</em></u>

* <em>Now lets find f(g(x))</em>

- To find f(g(x)) substitute x in f(x) by g(x)

∵ f(x)=\sqrt{x-3}

∵ g(x) = x² + 3

∴ f(g(x))=\sqrt{(x^{2}+3)-3}=\sqrt{x^{2}+3-3}=\sqrt{x^{2}}=x

∴ <u><em>f(g(x)) = x</em></u>

∴ The functions are inverses; f(g(x)) = x

* <em>Lets find the inverse of h(x)</em>

∵ h(x) = 3x² - 1 where x ≥ 0

- Let h(x) = y

∴ y = 3x² - 1

- Exchange x and y

∴ x = 3y² - 1

- Add 1 to both sides

∴ x + 1 = 3y²

- Divide both sides by 3

∴ \frac{x + 1}{3}=y^{2}

- Take √ for both sides

∴ ± \sqrt{\frac{x+1}{3}}=y

∵ x ≥ 0

∴ We will chose the positive value of the square root

∴ \sqrt{\frac{x+1}{3}}=y

- replace y by h^{-1}(x)

∴ h^{-1}(x)=\sqrt{\frac{x+1}{3}}

4 0
3 years ago
If randy earns $12.74 per hour, what is his overtime rate? How much should randy make if he works 45 1/2 hours during 1 week?
elena-14-01-66 [18.8K]

Answer:

$19.24 is the overtime rate $579.67 one week

Step-by-step explanation:

So $13.00 its $19.50 so I subtracted $12.74 to $13.00 got 0.26 then subtracted $19.50 by 0.26 and got $19.24

$12.74 times 45.5 that will be $579.67 for just one week

If I didn't get it right. Tell me in the comments. I think I got it right.

8 0
3 years ago
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