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Natali [406]
3 years ago
10

Simplify and leave in radical form. 8√x^2 y^6

Mathematics
2 answers:
Viktor [21]3 years ago
4 0
Correct answer: 8xy^6                        <span />
scoundrel [369]3 years ago
3 0
8sqrt(x^2y^6)
8sqrt(x•x•y•y•y•y•y•y)

Since there are 2 xs, we can pull them out of the radical.
8xsqrt(y•y•y•y•y•y)

Since there are 6 ys, we can pull them all out and there are 3 left now.
8xy^3

There is nothing left inside the radical so we can get rid of it!


Best wishes:)
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A cylindrical can of soup has a diameter of 7 cm and a height of 10 cm. How much soup is in the can, in terms of π?
Natasha2012 [34]

Answer:

B) 122.5π cm3

Step-by-step explanation:

Volume of a cylinder = \pi r^{2} h

r= radius , but we are given diameter or 7cm, radius = diameter/2 =7/2 = 3.5cm

h= height, given as 10cm

\pi = constant

Next, plug in the numbers into the formula;

=\pi *3.5^{2} *10\\ \\ =\pi *12.25 *10\\ \\ =122.5\pi

Therefore, the volume of soup in the can is 122.5\pi cm^{3}

7 0
4 years ago
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Find the distance between <br><br> (4,3) and (0,3).<br> A) 10 <br> B) 2 <br> C) 2<br> 13<br> D) 4
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Answer:

D

Step-by-step explanation:

4 units

4 0
3 years ago
Question 5: -4/7 x (-3/10) = ?<br><br> A: 7/70<br><br> B: -12/70<br><br> C: 7/17<br><br> D: 12/70
kupik [55]
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7 0
3 years ago
Burt's grandparents started a savings account for him when he was born. They invested
SashulF [63]

Answer:

4594.76 USD will be in the account on Burt's 18th birthday.

Step-by-step explanation:

Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:

C = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t} (1)

Where:

C_{o} - Initial amount, measured in US dollars.

C - Current amount, measured in US dollars.

r - Annual interest rate, measured in percentage.

t - Time, measured in years.

If we know that C_{o} = 1250\,USD, r = 7.5 and t = 18, then the money in the savings account on Burt's 18th birthday is:

C = (1250\,USD)\cdot \left(1+\frac{7.5}{100} \right)^{18}

C = 4594.76\,USD

4594.76 USD will be in the account on Burt's 18th birthday.

5 0
3 years ago
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