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zavuch27 [327]
4 years ago
9

Factor 10m^5 n^3+5m^4 n^2-25m^2 n ??

Mathematics
2 answers:
Pavlova-9 [17]4 years ago
3 0
I am not sure how the answer is coming up as an "m+1+ or "m<span>-1" I am a ... </span>Factor<span>: : </span>4m^2<span> -18m + 14. We can simplify this, </span>factor<span> out </span>2 2(2m^2<span> - 9m + 7) ... FOIL (</span>5m+3)(m+1) : 15m^2<span> - </span>10m<span> - 25. </span>Factor<span> out </span>5 5(3m^2<span> - 2m - </span>5<span>) </span>Factors<span> to </span>3<span>(3m - </span>5)(m<span> + 1) FOIL this to confirm it : 50m^</span>3<span> - 2m. Simplify, </span>factor<span> out 2m 2m(</span>25m^2<span> - 1)</span>
Brilliant_brown [7]4 years ago
3 0
5m^2 n(2m^3 n^2+m^2 n-5)
Using the exponent rule a^b+c=a^b+a^c
and then factoring out 5nm^2
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ddd [48]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
Find a standardized test statistic and use the t-distribution to find the p-value and make a conclusion using a 5% significance
Ne4ueva [31]

Answer:

1 μ = M μ ≠ M 2

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3 μ < M μ > M 1

If we use a 5% significance level, the p-value of 0.165 is not less than α = 0.05 so we would not

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3 0
3 years ago
How do I solve this?
KengaRu [80]

Answer with Step-by-step explanation:

The given differential euation is

\frac{dy}{dx}=(y-5)(y+5)\\\\\frac{dy}{(y-5)(y+5)}=dx\\\\(\frac{A}{y-5}+\frac{B}{y+5})dy=dx\\\\\frac{1}{100}\cdot (\frac{10}{y-5}-\frac{10}{y+5})dy=dx\\\\\frac{1}{100}\cdot \int (\frac{10}{y-5}-\frac{10}{y+5})dy=\int dx\\\\10[ln(y-5)-ln(y+5)]=100x+10c\\\\ln(\frac{y-5}{y+5})=10x+c\\\\\frac{y-5}{y+5}=ke^{10x}

where

'k' is constant of integration whose value is obtained by the given condition that y(2)=0\\

\frac{0-5}{0+5}=ke^{20}\\\\k=\frac{-1}{e^{20}}\\\\\therefore k=-e^{-20}

Thus the solution of the differential becomes

 \frac{y-5}{y+5}=e^{10x-20}

5 0
3 years ago
Read 2 more answers
Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square increasing when the area of the
icang [17]

Answer:

<h2>70cm/s</h2>

Step-by-step explanation:

Area of a square with side of length L is expressed as A = L². The rate at which the area is increasing will be expressed as dA/dt.

dA/dt = dA/dL * dL/dt where

dL/dt is the rate at which each side of the square is increasing.

Since dA/dL = 2L, dA/dt = 2L dL/dt

Given dL/dt = 5cm/s and the Area of the square = 49 cm²

49 = L²

L = √49

L = 7cm

dA/dt = 2(7) * 5

dA/dt = 14*5

dA/dt = 70cm/s

The rate at which the area of the square is increasing is 70cm/s

3 0
3 years ago
ABC and XYZ are similar. Find the missing side length.
valina [46]

Answer:

56

Step-by-step explanation:

The easiest way to solve this is by cross multiplying. We can make an equation to find the answer of this by simply taking a side from each triangle and then the variable and equal side on the other triangle, shown below.

let \:  \:    ? = x

\frac{7}{49} =   \frac{8}{x}

Now we solve with cross multiplication

7 x = 392 \\ x = 56

Now we know the mystery number is 56

7 0
3 years ago
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