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3 years ago

11.) Evaluate the integral

Mathematics

2 answers:

xxMikexx [17]3 years ago

7 0

Hey there !

Check the attachment.
Hope it helps you :)

bezimeni [28]3 years ago

3 0

You can start with the indefinite integral

... ∫e^(ax)·dx = (1/a)e^(ax) +c

Then your definite integral is

$\int\limits_{-3}^{10}{e^{-0.025x}}\,dx=\dfrac{-1}{.025}\left(e^{-0.025\cdot 10}-e^{-0.025\cdot(-3)}\right)\\\\=40\left(e^{.075}-e^{-0.25}\right)\\\\ \approx11.9633$

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timurjin [86]

Answer:

c is the right answer of this

3 0

2 years ago

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Here’s the other one, i just need two more that i will be posting, ty your and amazing person

Anuta_ua [19.1K]

Answer:

See below.

Step-by-step explanation:

X-intercepts: (-7, 0) & (-3, 0)

Axis of Symmetry: x = -5

Y-intercept: (0, -21)

Vertex: (-5, 4)

4 0

3 years ago

For which system of equations is (5, 3) the solution? A. 3x – 2y = 9 3x + 2y = 14 B. x – y = –2 4x – 3y = 11 C. –2x – y = –13 x

Alla [95]

The correct answer is:

D) $\left \{ {{2x-y=7} \atop {2x+7y=31}} \right.$ .

Explanation:

We solve each system to find the correct answer.

For A:
$\left \{ {{3x-2y=9} \atop {3x+2y=14}} \right.$

Since we have the coefficients of both variables the same, we will use elimination to solve this.

Since the coefficients of y are -2 and 2, we can add the equations to solve, since -2+2=0 and cancels the y variable:
$\left \{ {{3x-2y=9} \atop {+(3x+2y=14)}} \right. 
\\
\\6x=23$

Next we divide both sides by 6:
6x/6 = 23/6
x = 23/6

This is not the x-coordinate of the answer we are looking for, so A is not correct.

For B:
$\left \{ {{x-y=-2} \atop {4x-3y=11}} \right.$

For this equation, it will be easier to isolate a variable and use substitution, since the coefficient of both x and y in the first equation is 1:
x-y=-2

Add y to both sides:
x-y+y=-2+y
x=-2+y

We now substitute this in place of x in the second equation:
4x-3y=11
4(-2+y)-3y=11

Using the distributive property, we have:
4(-2)+4(y)-3y=11
-8+4y-3y=11

Combining like terms, we have:
-8+y=11

Add 8 to each side:
-8+y+8=11+8
y=19

This is not the y-coordinate of the answer we're looking for, so B is not correct.

For C:
Since the coefficient of x in the second equation is 1, we will use substitution again.

x+2y=-11

To isolate x, subtract 2y from each side:
x+2y-2y=-11-2y
x=-11-2y

Now substitute this in place of x in the first equation:
-2x-y=-13
-2(-11-2y)-y=-13

Using the distributive property, we have:
-2(-11)-2(-2y)-y=-13
22+4y-y=-13

Combining like terms:
22+3y=-13

Subtract 22 from each side:
22+3y-22=-13-22
3y=-35

Divide both sides by 3:
3y/3 = -35/3
y = -35/3

This is not the y-coordinate of the answer we're looking for, so C is not correct.

For D:
Since the coefficients of x are the same in each equation, we will use elimination. We have 2x in each equation; to eliminate this, we will subtract, since 2x-2x=0:

$\left \{ {{2x-y=7} \atop {-(2x+7y=31)}} \right. 
\\
\\-8y=-24$

Divide both sides by -8:
-8y/-8 = -24/-8
y=3

The y-coordinate is correct; next we check the x-coordinate Substitute the value for y into the first equation:
2x-y=7
2x-3=7

Add 3 to each side:
2x-3+3=7+3
2x=10

Divide each side by 2:
2x/2=10/2
x=5

This gives us the x- and y-coordinate we need, so D is the correct answer.

7 0

3 years ago

A grid shows the positions of a subway stop and your house. The subway stop is located at (–9, 7) and your house is located at (

miv72 [106K]

For this case, the first thing you should do is use the distance between points formula.
We have then:
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
Substituting we have:
d = root ((9 - (- 9)) ^ 2 + (-2-7) ^ 2)
d = 20.1246118
Rounding off we have:
d = 20 units
Answer:
The distance, to the nearest unit, between your house and the subway stop is:
B. 20

8 0

2 years ago

What is the square root of 5?

shutvik [7]

5 x 5 = 25

answer: 25.

7 0

3 years ago

Read 2 more answers