What is the area under the curve f (x) e ^ 2x between x1 = 0 to x2 = 2.​

Answers

Answer 1

Answer:

26.75 unit^2 to the nearest hundredth.

Step-by-step explanation:

Integrating between the 2 limits:

            2                            2

Area =   ∫    e^2x dx     =   [   1/2 e^2x ]

            0                            0

= 1/2( e^4 - e^0]

= 1/2(54.598 - 1)

= 26.749


Related Questions


Timmy drank 2 quarts of water yesterday. He drank twice as much water today as he drank yesterday.
How many cups of water did Timmy drink in the two days

Answers

Answer:

24 cups or 6 quarts

Step-by-step explanation:

2 x 2 = 4  4 + 2 = 6

6 x 4 = 24

5200 at 7.36%for 54 months

Answers

Answer:

i am not 100% sure but i think

Step-by-step explanation:

20,666.88 i believe that is the answer

Ayuda es mi examen y no me sale :cry:

a)4
b)3
c)7
d)1

Answers

Answer:Answer C) 7

Step-by-step explanation:

M= -14-20+32

-34 + 32

M=-2

N= 19-32+22

N = 19-10

N = 9

M + N = -2+9

M+N = 7

Answer c

Identify the slope and y-intercept of each of the following lines. Then graph each line.

8y = -2x + 32

Answers

First rewrite the equation in slope intercept form

slope intercept form: y = mx + b [ where m is slope and b is y-intercept ]

[tex]\rightarrow \sf 8y = -2x+32[/tex]

[tex]\rightarrow \sf y =\dfrac{ -2x+32}{ 8}[/tex]

[tex]\rightarrow \sf y =\dfrac{ -2x}{ 8} + \dfrac{32}{8}[/tex]

[tex]\rightarrow \sf y =\dfrac{ -1}{ 4}x + 4[/tex]

comparing with y = mx + b

slope: -1/4     and   y-intercept: 4

x-intercept:          ( then y will be 0 )

[tex]\hookrightarrow \sf -2x + 32 = 0[/tex]

[tex]\hookrightarrow \sf -2x = -32[/tex]

[tex]\hookrightarrow \sf x = 16[/tex]

In order to graph the line

plot x = 16 on the x-axis     coordinate: (16, 0)plot y = 4 on the y-axis     coordinate: (0, 4)Then using a scale/ruler draw a straight line through this points.

Graph:

8y=-2x+324y=-x+16y=-1/4x+4

Compare to slope intercept form

slope=m=-1/4

Solve this
[tex]4\left(5x-2\right)=2\left(9x+3\right)[/tex]

Answers

Answer:

Solution of equation ( x ) = 7

Step-by-step explanation:

In this question we have given with an equation that is 4 ( 5x - 2 ) = 2 ( 9x + 3 ). And we are asked to solve this equation that means we have to find the value of x.

Solution : -

[tex] \quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )[/tex]

Step 1 : Removing parenthesis :

[tex] \quad \longrightarrow \:20x - 8 = 18x + 6[/tex]

Step 2 : Adding 8 from both sides :

[tex] \quad \longrightarrow \:20x - \cancel{ 8 }+ \cancel{8} = 18x + 6 + 8[/tex]

On further calculations we get :

[tex] \quad \longrightarrow \:20x = 18x + 14[/tex]

Step 3 : Subtracting 18 from both sides :

[tex] \quad \longrightarrow \:20x - 18x = \cancel{18x }+ 14 - \cancel{18}[/tex]

On further calculations we get :

[tex] \quad \longrightarrow \:2x = 14[/tex]

Step 4 : Dividing with 2 on both sides :

[tex] \quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}} = \cancel{\frac{14}{2} }[/tex]

On further calculations we get :

[tex] \quad \longrightarrow \: \blue{\boxed{ \frak{x = 7}}}[/tex]

Therefore, solution of this equation is 7 or we can say that value of this equation is 7 .

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

4 ( 5x - 2 ) = 2 ( 9x + 3 )

4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]

4 ( 35 - 2 ) = 2 ( 63 + 3 )

4 ( 33 ) = 2 ( 66 )

132 = 132

L.H.S = R.H.S

Hence, Verified.

Therefore, our value for x is correct .

#Keep Learning

Answer:

7

[tex] \: [/tex]

Step-by-step explanation:

In the above question, we have to solve the equation and find the value of x. So,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad 4(5x-2)=2(9x+3) }}} \\ \\ [/tex]

Using distributive property we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad 20x-8=18x+6 }}} \\ \\ [/tex]

Adding (-18x) to both sides we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad 20x-8 + ( - 18x)= \cancel{18x}+6 + \cancel{( - 18x) }}}} \\ \\ [/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad 2x-8=6 }}} \\ \\ [/tex]

Now Adding 8 to both sides we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad 2x-8 + 8=6 + 8 }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 2x=14 }}} \\ \\ [/tex]

Dividing both sides by 2 we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad \frac{2x}{2} = \frac{14}{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad x=7 }}} \\ \\ [/tex]

Therefore,

The value of x is 7

Which statements about the figure must be true? select three options. angledbc is bisected by ray bd. angleabc is bisected by ray bd. bc = one-halfac line segment d b is-congruent-to line segment b c 2mangledbc = mangleabc

Answers

We can see that the statements that about the figure that must be true in the following:

∠ABC is bisected by ray BD.BC = One-half of AC2 ∠DBC = ∠ABC.

What is angle?

An angle actually refers to the figure that is formed when two rays share a common endpoint that is called vertex. Also, when two planes intersect, they also form angles.

Thus, we can see that the above options are the three options that makes the figure true.

Learn more about angle on https://brainly.com/question/24775470

The function y=-16t^2 +36 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how many seconds

does the water droplet hit the ground?

Answers

Answer:

1.5 seconds

Step-by-step explanation:

plug 0 in for y

0=-16t^2+36

then slove for t

-36=-16t^2

-36 / -16 = 9/4

9/4=t^2

square root of 9/4 is 3/2 or 1.5

t=1.5

state the domain of f(x) = √x

Answers

Answer:

The domain is equal to (x)=√x

(x)=x is x>0x>0

I NEED HELP WITH THIS ASAP AND PLEASE

Answers

For Step 2 try subtraction property of equality, and for step 4 try multiplication property of equality.

Please help me on this math

Answers

Answer:

95

Step-by-step explanation:

Answer:

95°

Step-by-step explanation:

you need to read where the line is along the numbers.

What is the temperature, in degrees Fahrenheit, shown on the thermometer to the nearest integer? Enter your integer answer in the box. ​

Answers

It’s negative 4 because the scale shows there is 4 lines

Solve for t.
2 - 16+ = 6(-3t + 2)

Answers

Answer...

Ok done. Thank to me >:33

16. Levi has two pieces of decorative tapes, one x cm long and the other x(x+1)
cm long. To decorate an album, she wants to cut them up to produce many
pieces of decorative tapes that are all of the same length, with no left overs.

a. Express in terms of x the greatest possible length, in cm, that she can cut
them into.

b. The difference in length between the two tapes is 4 cm. What is the value of

c. Hence, or otherwise, how many smaller decorative tapes can she produced in
all?

Answers

The answer is A
Explanation it’s A

Which of the following estimates at a 95% confidence level most likely comes form a small sample?

Answers

OptionAStep-by-step explanation:95% confidence interval is obtained using the following formulaCOnfidence interval lower bound = mean - critical value * sigma/sq rt nand upper bound = mean + critical value*sigma/sq rt nThus margin of error = critical value*sigma/rt nvaries indirectly as n provided others are remaining the same.Hence lower sample indicates higher margin of errorOut of 4 options given we find that 1 option has maximum margin of error as 21%Hence option. A is most likely coming from a small sample.

In 2014, a toy store sold 11,816 stuffed animals. In 2015, the toy store sold 24,380 more stuffed animals than it did in 2014. The toy store sold the same number of stuffed animals in 2016 as it did in 2015. How many stuffed animals did the toy store sell in 2014, 2015, and 2016 combined?

Answers

11,816+24,380=36,196
36,196*2= 72,392
72,392+11,816= 84,208

Electric utility poles in the form of right cylinders are made out of wood that costs $25.46 per cubic foot. Calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 30 ft. Round your answer to the nearest cent.

Answers

Answer:

$1349.75

Step-by-step explanation:

Use the equation for volume of a cylinder - pi * radius^2 * height

Halve the diameter to find the radius - 1.5 / 2 = 0.75 ft

Find the volume of the cylinder - pi * 0.75^2 * 30 = 53.0143760293 cubic feet or ft^3

Multiply volume by cost per cubic foot - 53.014... * 25.46 = 1349.746013706

Round to nearest cent = $1349.75

:)

Determine if the given relation is function or not. Give its domain and
range.
2. {(4, 2), (4, 3), (-2, 4)}

Answers

Answer:

No

Step-by-step explanation:

According to the definition of the function each domain should have a uniqe range.

We have same domain of 4 with two different ranges 2 and 3.

It makes the relationship one-to-many, which can't be a function

Step-by-step explanation:

The rule is

A relation is said to be a function if every domain has an unique range

y=f(x)

Here

f(4) has 2 values 2,3 hence it's not an function

A triangle has an area of 600 square feet. The height of the triangle is 20 feet. The base of the triangle is

Answers

Answer: 60

Step-by-step explanation:

Area = ½base × height

600 = ½b × 20

600/20 = ½b

Base = 30 × 2

Margo used 78 square yards of fabric to make 52 dresses last year. She used the same amount of fabric to make each dress. How many square yards of fabric did Margo use to make each dress?

Answers

The amount of square yards of fabric that Margo used to make each dress is; 1.5 sq. yds

How to Solve Algebra word Problems?

We are told that;

Last year, she used 78 yd² to make 52 dresses

We are told that she used the same amount of square yards for each dress.

Thus, to find the  square yards of fabric that Margo used to make each dress, we just divide 52 by 78.

Square yards used for each fabric = 78/52 = 1.5 sq. yds

Read more about Algebra problems at; https://brainly.com/question/723406

#SPJ1

order the steps to solve -3x + 2.4 =19.2

Answers

Answer: -5.6

Step-by-step explanation: Subtract 2.4 from both sides

Divide both sides by -3

Point Q is located on the coordinate grid at (− − 9.73, −3.32). In which quadrant is point Q
located?

Answers

Answer:

The third quadrant

Step-by-step explanation:

Point Q is located in the third quadrant because the values for both x and y are negative

I will give Brainliest!

A collection of paired data consists of the number of years that students have studied Spanish and their scores on a Spanish language proficiency test. A computer program was used to obtain the least squares linear regression line and the computer output is shown below. Along with the paired sample data, the program was also given an x value of 2 (years of study) to be used for predicting test score.


Equation: y = mx + b


Statistics:


r2 = 0.83

r = 0.91

Parameters:


m = 10.90

b = 31.55

Answer the following questions based on the information given above.


If a person studies 4.5 years, what is the single value that is the best predicted test score? Assume that there is a significant linear correlation between years of study and test score.


83.0


80.6


49.1


53.35

Answers

Answer:

2.9 years

Step-by-step explanation:

80.6

I know that’s right because I took the test.

Can someone please help me? And please explain your answer afterwards!

Answers

Answer:

The answer is (-3,-2)

Step-by-step explanation:

I cant do this right now.

3x+4 = 4(2x+9)
Please Help I CANT DO THIS!!!

Answers

Answer:

x=(14+sqrt(88))/6=(7+sqrt(22))/3=3.897 can i get brainliest?

I hope I can help you

Which image shows a plane slicing a double-napped cone to produce a hyperbola?

Answer is D

Answers

The second image in the diagram is a hyperbola. As can be seen, the plane cutting the cone can be at any angle but never equal to the slant angle of the cone. This has a very important implication. The plane cuts both cones of the double-napped cone. The third double-napped cone of Figure 3 shows two hyperbolas.

The plane sliced a third double-napped cone to produce a hyperbola

The second image in the diagram is a hyperbola.

As can be seen, the plane cutting the cone can be at any angle but never equal to the slant angle of the cone.

What is the slant angle?

The slant angle of a pick is defined as the angle between the axis of the pick and the normal direction of the rock surface being cut by the pick.

This has a very important implication.

The plane cuts both cones of the double-napped cone.

The third double-napped cone in two hyperbolas.

Thus, The plane sliced a third double-napped cone to produce a hyperbola.

To learn more about the hyperbola visit:

https://brainly.com/question/2351925

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Write 7/16+3/16 in simplest form.

Answers

Answer:

Step-by-step explanation:

Remark

Normally you would have to make sure that the bottoms of each fraction to be added would be the same. In this question, they are, so nothing further to getting the bottoms the same has to be done,

Solution

answer = 7 / 16 + 3 / 16

answer = (7 + 3) / 16

answer = 10/16        

Both top and bottom are even numbers so you can divide both top and bottom by at least 2.

10/2 = 5

16 / 2 = 8

So answer = 5/8

.A basket that contains 12 apples costs
$3.75. What is the price for a basket that
contains 18 apples?

Answers

Answer:

$5.63

Step-by-step explanation:

We can form a ratio to solve this problem

12:3.75

18/12 = 1.5 times rate

1.5(12):1.5(3.75)

18:5.625, rounded to 5.63

Answer:

$5.63

Step-by-step explanation:

Divide the dollar over the apple.[tex]$3.75/12=0.3125[/tex] cent per apple. Now multiply it with 18 apples.

[tex]18 apples * 0.3125 cent = $5.625[/tex] rounding that up to cents so $5.63

The dot plot shows the number of library books borrowed by a group of children.

A dot plot whose number line is labeled Number of books borrowed. There is 1 dot above 0, 2 dots above 1, 4 dots above 2, 4 dots above 3, 6 dots above 4, 3 dots above 5, 5 dots above 6, 3 dots above 7, 1 dot above 8, and 1 dot above 9.

Select from the drop-down menus to correctly complete the statement.

The distribution of data is
approximately normal
skewed left
skewed right
, with a mode of
4
6
8
9
, and a range of
4
6
8
9

Answers

Answer:

Approximately normal

Mode: 4

Range:9

Step-by-step explanation:

The data is pretty evenly spread, the data isn’t pushed to the left or right giving the answer of approximately normal.

Mode: The number that occurs the most is the mode. This means that 4 would be the answer because it has the most dots.

Range: To find the range subtract the smallest number from the biggest number. In this case you would get 9-0 (this is because no data is recorded for 10) which equals 9.

I hope this helps! :)

Please hurry!


In the diagram, r || s.

Parallel lines r and s are crossed by transversal t to form 8 angles. Clockwise from top left, the angles formed with line r are blank, blank, 1, (2 x + 12.8) degrees; with line s are blank, blank, 117.6 degrees, blank.

What is the value of x?

x =

Answers

Answer: Angle 1 is 117.6⁰, the alternate angle to 1 is also 117.6⁰

X is 24.8

The Angle 2X + 12.8 = 62.4⁰, the alternate angle to it is also 62.4⁰

Step-by-step explanation: Angle (2X + 12.8 )forms 1180⁰ with Angle 1

180⁰- 117.6⁰ = 2X + 12.8

62.4⁰ = 2X + 12.8

Subtract 12.8 from both sides

49.6 = 2X

X is 24.8⁰

Answer:

X = 24.8

Step-by-step explanation:

Edge

Rewrite the following expressions without parentheses or negative exports

Answers

Answer:

Simplfied format with no parentheses or negative exponents: [tex]\frac{15y^5}{3x^{10}}[/tex]

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