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4 years ago

Factor out the greatest common factor. 2xy - 12y + 6wy

Mathematics

1 answer:

Fed [463]4 years ago

4 0

2y(x-6+3w)

That's what it would look like factored

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In order to estimate the average time spent on the computer terminals per student at a local university, data were collected fro

Ksju [112]

Answer:

d. 0.133

Step-by-step explanation:

-Standard error is calculated using the formula:

$E=\frac{\sigma}{\sqrt{n}}\\\\\sigma-=standard \ deviation\\n=sample \ size$

#We substitute the given values in the formula to solve for E:

$E=\frac{\sigma}{\sqrt{n}}\\\\=\frac{1.2}{\sqrt{81}}\\\\=0.133$

Hence, the standard error is 0.133 and the correct option is d

7 0

3 years ago

Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview

svetlana [45]

Answer: The required solution is

$y=(-2+t)e^{-5t}.$

Step-by-step explanation: We are given to solve the following differential equation :

$y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let us consider that

$y=e^{mt}$ be an auxiliary solution of equation (i).

Then, we have

$y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.$

Substituting these values in equation (i), we get

$m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.$

So, the general solution of the given equation is

$y(t)=(A+Bt)e^{-5t}.$

Differentiating with respect to t, we get

$y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.$

According to the given conditions, we have

$y(0)=-2\\\\\Rightarrow A=-2$

and

$y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.$

Thus, the required solution is

$y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.$

6 0

3 years ago

First one to answer gets BRAINLIEST no cap look at the picture.

Temka [501]

Answer:

your answer will be 56 square millimeters

Step-by-step explanation:

hope it helps

4 0

3 years ago

Read 2 more answers

Factor completely: 3x^3+33x^2+54x=0

kap26 [50]

Answer:

3(x + 9)(x + 2)x = 0

Step-by-step explanation:

xv1 = −9

xv2 = −2

xv3 = 0

7 0

3 years ago

Please help me<br> fast....

Likurg_2 [28]

Answer:

2^3 = 8

base = 2, main number in the exponential equation

exponent = 3, have to multiply the base 3 times by itself

power = 2^3, the whole equation

hope this helps!

Step-by-step explanation:

6 0

3 years ago