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3 years ago

Use absolute value to show the distance on the number line between -12 and -2.

Mathematics

2 answers:

mezya [45]3 years ago

7 0

Answer:

Step-by-step explanation:

Let us draw a number line.

From the line we can find the distance.

Now, from the graph we can see that ,

distance between -12 and -2 is 10

You can find it using absolute value.

Then distance would be

|-12-(-2)|

=|-12+2|

=|-10|

=10

since, |-x|=x

So, the distance is 10

Galina-37 [17]3 years ago

4 0

the distance is 10 hope this helps and hope its correct

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Use integration by parts to find the integrals in Exercise.<br> ∫^3_0 3-x/3e^x dx.

Viefleur [7K]

Answer:

8.733046.

Step-by-step explanation:

We have been given a definite integral $\int _0^3\:3-\frac{x}{3e^x}dx$ . We are asked to find the value of the given integral using integration by parts.

Using sum rule of integrals, we will get:

$\int _0^3\:3dx-\int _0^3\frac{x}{3e^x}dx$

We will use Integration by parts formula to solve our given problem.

$\int\ vdv=uv-\int\ vdu$

Let $u=x$ and $v'=\frac{1}{e^x}$ .

Now, we need to find du and v using these values as shown below:

$\frac{du}{dx}=\frac{d}{dx}(x)$

$\frac{du}{dx}=1$

$du=1dx$

$du=dx$

$v'=\frac{1}{e^x}$

$v=-\frac{1}{e^x}$

Substituting our given values in integration by parts formula, we will get:

$\frac{1}{3}\int _0^3\frac{x}{e^x}dx=\frac{1}{3}(x*(-\frac{1}{e^x})-\int _0^3(-\frac{1}{e^x})dx)$

$\frac{1}{3}\int _0^3\frac{x}{e^x}dx=\frac{1}{3}(-\frac{x}{e^x}- (\frac{1}{e^x}))$

$\int _0^3\:3dx-\int _0^3\frac{x}{3e^x}dx=3x-\frac{1}{3}(-\frac{x}{e^x}- (\frac{1}{e^x}))$

Compute the boundaries:

$3(3)-\frac{1}{3}(-\frac{3}{e^3}- (\frac{1}{e^3}))=9+\frac{4}{3e^3}=9.06638$

$3(0)-\frac{1}{3}(-\frac{0}{e^0}- (\frac{1}{e^0}))=0-(-\frac{1}{3})=\frac{1}{3}$

$9.06638-\frac{1}{3}=8.733046$

Therefore, the value of the given integral would be 8.733046.

6 0

2 years ago

2x (y^2+3)-5 (3+y^2)

Irina18 [472]

Use distributive property a(b + c) = ab + ac.

$2x(y^2+3)-5(3+y^2)=(2x)(y^2)+(2x)(3)+(-5)(3)+(-5)(y^2)\\\\=2xy^2+6x-15-5y^2$

3 0

3 years ago

This is my first time, but my question is what is 7/8 of 20?

Goshia [24]

17.5
Divide 7 by 8 to get .875 and multiply that by 20 to get your answer.

6 0

3 years ago

Read 2 more answers

fgiga [73]

Answer:

1 1/5

Step-by-step explanation:

12/10=1.2 or 1 1/5

5 0

2 years ago

May somebody help me with this please?

beks73 [17]

First you do 4500 × 0.04
Then take that number and add it to 4500

4 0

2 years ago

Read 2 more answers