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aliya0001 [1]
3 years ago
9

M0 Simplify V72xh y 2

Mathematics
1 answer:
aleksandrvk [35]3 years ago
5 0
\bf \sqrt{72x^6y^7z}\qquad 
\begin{cases}
72=2\cdot 2\cdot 2\cdot 3\cdot 3\\
\qquad 2^2\cdot 2\cdot 3^2\\
x^6=x^{3\cdot 2}\\
\qquad (x^3)^2\\
y^7=y^{2+2+2+1}\\
\qquad y^2\cdot y^2\cdot y^2\cdot y^1\\
\qquad (y^3)^2\cdot y
\end{cases}\\\\
-----------------------------\\\\
\sqrt[2]{2^2\cdot 2\cdot 3^2\cdot (x^3)^2\cdot (y^3)^2\cdot y\cdot z}\implies 2\cdot 3\cdot x^3\cdot y^3\sqrt{2yz}
\\\\\\
6x^3y^3\sqrt{2yz}
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If Valerie deposited 12,000 into an account threat earns 15% simple annual interest how much money will she have after 3 years
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Answer:

The amount which she will have into account after 3 years is  17,400  unit

Step-by-step explanation:

Given as :

The principal which is deposited into an account = 12,000  unit

The rate of interest simple annual = 15%

The Time period = 3 years

Let The amount which she have after 3 years = A  unit

<u>From simple Interest method</u>

Simple Interest = \frac{Principal\times Rate\times Time}{100}

Or , Simple Interest = \frac{12,000\times 15\times 3}{100}

Or,  Simple Interest = \frac{540,000}{100}

∴    Simple Interest = 5,400  unit

Now,

Amount = Principal + Simple Interest

Or, A =  12,000  unit + 5,400  unit

∴   A =  17,400  unit

Hence The amount which she will have into account after 3 years is  17,400  unit . Answer

6 0
3 years ago
The quadratic function y = –2(x + 4)2 – 3 with no real zeros is graphed.
skelet666 [1.2K]

Answer:

2 and 4

Step-by-step explanation:

Got it Correct on Edg:

The quadratic function y = –2(x + 4)2 – 3 with no real zeros is graphed.

Determine the values of h and k that will change the function to one with two real zeros and a vertex of (3, 2). What are the zeros of the new function?

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3 years ago
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4 0
3 years ago
Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. Then she used 3/4 of the rem
serg [7]

Answer:

Final answer is 1/3.

Step-by-step explanation:

Given that Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. Then she used 3/4 of the remainder to make a salad. Now we need to find about what fraction of the tomatoes did Mrs Jenkins use to make the salad.

Since she used 5/9 of the tomatoes to make pasta sauce.

Then remaining amount of tomatoes = 1- 5/9 = 9/9 -5/9 = 4/9

Then she used 3/4 of the remainder to make a salad. So fraction of the tomatoes did Mrs Jenkins use to make the salad = (4/9)(3/4)=12/36=1/3

Hence final answer is 1/3.

5 0
3 years ago
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