All categories

2 years ago

HELP ME ! beautiful people that are good at math

Mathematics

1 answer:

ANTONII [103]2 years ago

8 0

-3(-4y+3) +7y
Expand
12y-9+7y
Add like terms
19y-9

You might be interested in

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

A small airplane takes off from point A and continues to climb upward in a straight line, as shown in the diagram. What is the p

harkovskaia [24]

<h3>Answer: Choice D. 12,600 feet</h3>

============================================================

Explanation:

We have two similar triangles here, so we can set up the proportion below to solve for x

5200/(5200+6500) = 5600/x

5200/11700 = 5600/x

5200x = 11700*5600 .... cross multiply

5200x = 65,520,000

x = (65,520,000)/(5200)

x = 12,600 which shows why the answer is choice D

side note: 12,600 ft = 2.386 miles approximately

6 0

2 years ago

Select the correct image.

slamgirl [31]

Answer:

Triangle 2

Step-by-step explanation:

That is Pythagorean Theorem, which is only for right triangles. The second triangle has the little square, so you know it is 90 degrees.

6 0

2 years ago

Solve for y<br> 2(3 + 3y) + y = 11

garik1379 [7]

<h2><u>EQUATION</u></h2><h3>Exercise</h3>

2(3 + 3y) + y = 11

First, apply the distributive property:

2(3 + 3y) + y = 11

6 + 6y + y = 11

6 + 7y = 11

Substract 6 from both sides:

6 - 6 + 7y = 11 - 6

7y = 5

Divide both sides by 7:

$\dfrac{7y}{7} = \dfrac{5}{7}$

$\boxed{y = \dfrac{5}{7}}$

<h3><u>Answer</u>. The value of y = 5/7.</h3>

8 0

2 years ago

Evaluate 2a + 4b<br> if a = 10 and b = 6

iris [78.8K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers