Ask question

Ask question

All categories

3 years ago

9

Mrs. McKee is thinking of buying solar panels to put on the roof of her new house the sunny solar company told her that for ever

y two panels she was safe $80 on her electric bill make a table of the panels to the money that she will save on her electric bill

1 answer:

Cloud [144]3 years ago

5 0

I can’t solve this because there is not enough information

You might be interested in

Evaluate using integration by parts

PolarNik [594]

Rather than carrying out IBP several times, let's establish a more general result. Let

$I(n)=\displaystyle\int x^ne^x\,\mathrm dx$

One round of IBP, setting

$u=x^n\implies\mathrm du=nx^{n-1}\,\mathrm dx$

$\mathrm dv=e^x\,\mathrm dx\implies v=e^x$

gives

$\displaystyle I(n)=x^ne^x-n\int x^{n-1}e^x\,\mathrm dx$

$I(n)=x^ne^x-nI(n-1)$

This is called a power-reduction formula. We could try solving for $I(n)$ explicitly, but no need. $n=5$ is small enough to just expand $I(5)$ as much as we need to.

$I(5)=x^5e^x-5I(4)$

$I(5)=x^5e^x-5(x^4e^x-4I(3))=(x-5)x^4e^x+20I(3)$

$I(5)=(x-5)x^4e^x+20(x^3e^x-3I(2))=(x^2-5x+20)x^3e^x-60I(2)$

$I(5)=(x^2-5x+20)x^3e^x-60(x^2e^x-2I(1))=(x^3-5x^2+20x-60)x^2e^x+120I(1)$

$I(5)=(x^3-5x^2+20x-60)x^2e^x+120(xe^x-I(0))$

Finally,

$I(0)=\displaystyle\int e^x\,\mathrm dx=e^x+C$

so we end up with

$I(5)=(x^4-5x^3+20x^2-60x+120)xe^x-120e^x+C$

$I(5)=(x^5-5x^4+20x^3-60x^2+120x-120)e^x+C$

and the antiderivative is

$\displaystyle\int2x^5e^x\,\mathrm dx=(2x^5-10x^4+40x^3-120x^2+240x-240)e^x+C$

8 0

3 years ago

Solve for the value of x.<br><br> and<br><br> Find the measure of angle KMP.

BigorU [14]

The answer should be (7x=21).

6 0

3 years ago

Read 2 more answers

Consider the equation

earnstyle [38]

a) true

b) false

c) true

Step-by-step explanation:

<h3>let's determine the first statement</h3><h3>to determine x-intercept </h3><h3>substitute y=0</h3>

so,

8x-2y=24

8x-2.0=24

8x=24

x=3

therefore

the first statement is <u>true</u>

let's determine the second statement

<h3>to determine y-intercept </h3><h3>substitute x=0</h3>

so,

8x-2y=24

8.0-2y=24

-2y=24

y=-12

therefore

the second statement is <u>False</u>

to determine the third statements

<h3>we need to turn the given equation into this form</h3><h2>y=mx+b</h2><h3>let's solve:</h3>

8x-2y=24

-2y=-8x+24

y=4x-12

therefore,

the third statement is also <u>true</u>

4 0

3 years ago

Show that the value of the expression: ( 10+5 3 + 10−5 3 )2 is a rational number.

Oxana [17]

Answer:

The value of the expression is 400

7 0

3 years ago

14 80 tiles of side 30cm were used to cover a counter top. Calculate the area of the counter top in square metres.

Komok [63]

Answer:

Step-by-step explanation:

1,480 is a lot of tiles. Did you mean 80 tiles?

30 cm = 0.3 m

Area of one tile = 0.3² m² = 0.09 m²

Multiply the number of tiles by 0.09 m².

3 0

3 years ago