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erik [133]
3 years ago
6

What is (5) 7/3 equivalent to

Mathematics
1 answer:
Dominik [7]3 years ago
7 0
(5) 7/3 = 5×7/3 = 35/3
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160% of what number 56?
Bogdan [553]

Answer:

160% of 35 is 56.

Step-by-step explanation:

\frac{56}{y} :\frac{160}{100}

y · 160 = 56 · 100

160y = 5600

160y ÷ 160 = 5600 ÷ 160

y = 35

7 0
3 years ago
Original amount: 27<br> End amount: 38.61<br><br> Increase or decrease
vichka [17]

Answer:

increase

Step-by-step explanation:

11.61 was added to 27

5 0
3 years ago
Find the indefinite integral using the substitution provided.
Nady [450]

Answer:  7\text{Ln}\left(e^{2x}+10\right)+C

This is the same as writing 7*Ln( e^(2x) + 10) + C

=======================================================

Explanation:

Start with the equation u = e^{2x}+10

Apply the derivative and multiply both sides by 7 like so

u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\

The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)

This way we can do the following substitutions:

\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\

Integrating leads to

\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of \frac{14e^{2x}}{e^{2x}+10}

4 0
2 years ago
2<br> (<br> 3<br> r<br> +<br> 4<br> )<br> −<br> 3<br> (<br> r<br> +<br> 1<br> )<br> =<br> 11
Slav-nsk [51]

Answer:

Kindly rewrite the question clearly.

8 0
2 years ago
Dalton is going on a backpacking trip with his family. They need to hike to their favorite camping spot and set up the camp befo
vagabundo [1.1K]
4pm because it takes them 3 hours to get set and sunset is at 7pm so 7-3=4pm boom!
6 0
2 years ago
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