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2 years ago

14

What is the area of the parallelogram? A parallelogram with base of 20 centimeters, height of 15 centimeters, and side length 21

centimeter

1 answer:

mezya [45]2 years ago

8 0

Answer:

300cm squared

Step-by-step explanation:

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For a population with µ = 80 and σ = 20, the distribution of sample means based on n = 16 will have an expected value of _______

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calculate the number of atom in 3 mol helium

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9 months ago

5(-7)+9(4) I am confused on this problem

amm1812

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the answer is 1

Step-by-step explanation:

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2 years ago

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Jean transformed a point by using the rule (x,y)(x-6,y+8) the image point is (-4,1) which point is the pre image

Xelga [282]

To find the pre image you need to back track on the image. To get to the image you used (x-6,y+8). Now you need to use the exact opposite to get back to the pre image. For this you would change the signs to look like (x+6,y-8). Now we just apply this to (-4,1).

(-4+6,1-8)

(2,-7) should be the pre image point.

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3 years ago

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(3x - 2)<br> (10x - 11)<br> (3x + 1)<br> Find the value of X

FrozenT [24]

The value of x is the meaning of the word of the value of x=14

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2 years ago

Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

4 0

3 years ago