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podryga [215]
3 years ago
11

How do you solve 125 - (5-9)^3÷2

Mathematics
1 answer:
hoa [83]3 years ago
8 0
Solve what is in parenthesis first (5-9) = -4

Solve exponents next -4^3 = -64

Divide next
- 64 \div 2
= -32

Lastly, subtract and resolve the negatives which become a positive number 125 - (-32) = 125 + 32 = 157
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(2n^3+20n^2+n)/10n^2
gizmo_the_mogwai [7]

The simplified form of this polynomial is (n(20n + 1))/5

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3 years ago
HELP ME! THE LENGTH OF THE RECTANGLE.
dsp73
In order to do this, all you have to do is divide the area by the width
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Factor the expression completely.<br> 625x4 - 256y4
scoundrel [369]

<u>Answer:</u>

<u>(625 • (x4)) -  28y4</u>

<u></u>

<u>  54x4 -  28y4 3.1      Factoring:  625x4-256y4  </u>

<u> </u>

<u>Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B) </u>

<u> </u>

<u>Proof :  (A+B) • (A-B) = </u>

<u>         A2 - AB + BA - B2 = </u>

<u>         A2 - AB + AB - B2 = </u>

<u>         A2 - B2Note :  AB = BA is the commutative property of multiplication. </u>

<u> </u>

<u>Note :  - AB + AB equals zero and is therefore eliminated from the expression. </u>

<u> </u>

<u>Check :  625  is the square of  25  </u>

<u>Check : 256 is the square of 16 </u>

<u>Check :  x4  is the square of  x2  </u>

<u> </u>

<u>Check :  y4  is the square of  y2  </u>

<u> </u>

<u>Factorization is :       (25x2 + 16y2)  •  (25x2 - 16y2)  3.2      Factoring:  25x2 - 16y2  </u>

<u> </u>

<u>Check :  25  is the square of  5  </u>

<u>Check : 16 is the square of 4 </u>

<u>Check :  x2  is the square of  x1  </u>

<u> </u>

<u>Check :  y2  is the square of  y1  </u>

<u> </u>

<u>Factorization is :       (5x + 4y)  •  (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)</u>

5 0
3 years ago
Bentley is going to invest $98,000 and leave it in an account for 7 years. Assuming
den301095 [7]

Answer:

The rate of interest for compounded daily is 2.1 6

Step-by-step explanation:

Given as :

The principal investment = $ 98,000

The Time period for investment = 7 years

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The Amount at the end up = $ 114,000

<u>From compounded method</u>

Amount = Principal × (1+\dfrac{rate}{365\times 100})^{365\times Time}

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Or, \frac{114000}{98000} = (1+\dfrac{R}{36500})^{2555}

or, 1.16326 = (1+\dfrac{R}{36500})^{2555}

or, (1.16326)^{\frac{1}{2555}} = 1 + \frac{R}{36500}

1.00005919 - 1 =  \frac{R}{36500}

or, 0.00005919 =  \frac{R}{36500}

∴ R =  0.00005919 × 365000 = 2.16

Hence the rate of interest for compounded daily is 2.1 6   Answer

4 0
3 years ago
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KonstantinChe [14]
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We will apply these following power rule

x^m*x^n = x^{m+n}
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[ \frac{x^8}{x^{14}}][ \frac{y^{-26}}{y^{-5}}][x^{-39}y^{-21}]
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x^{-45}y^{-42}
8 0
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