Is this the correct answer?

Is This The Correct Answer?

Answers

Answer 1

Step-by-step explanation:

Close.  You correctly set up the integrals.  When integrating e²ˣ:

∫ e²ˣ dx

½ ∫ 2 e²ˣ dx

½ e²ˣ + C

So the coefficient should be ½, not 2.

[eˣ − ½ e²ˣ]₋₁⁰ + [½ e²ˣ − eˣ]₀¹

[(e⁰ − ½ e⁰) − (e⁻¹ − ½ e⁻²)] + [(½ e² − e) − (½ e⁰ − e⁰)]

1 − ½ − e⁻¹ + ½ e⁻² + ½ e² − e − ½ + 1

-e⁻¹ + ½ e⁻² + ½ e² − e  + 1

Answer 2

Answer:

[tex]\mathrm{Solution: - e + \frac{1}{2e^2}-\frac{1}{e}+\frac{e^2}{2} + 1}[/tex]

Step-by-step explanation:

Your set up for the 'area of the shaded region' is absolutely correct. But when it comes to evaluating them, you are slightly off.

If we break this expression into parts, we have (eˣ - 2e²ˣ)dx on the interval [- 1 to 0] and (e²ˣ - eˣ)dx on the interval [0 to 1]:

(eˣ - 2e²ˣ)dx on the interval [- 1 to 0],

[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]

=> eˣdx - e²ˣdx on the interval [- 1 to 0]

=> [tex]1-\frac{1}{e}-\frac{e^2-1}{2e^2}[/tex]

(e²ˣ - eˣ)dx on the interval [0 to 1],

[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]

=> e²ˣdx - eˣdx on the interval [0 to 1],

=> [tex]\frac{e^2-1}{2}-e+1[/tex]

And now if we add the remaining fractions as expected, we will receive our answer. The set up would be as follows:

[tex]1-\frac{1}{e}-\frac{e^2-1}{2e^2}+\frac{e^2-1}{2}-e+1\\=> - e + \frac{1}{2e^2}-\frac{1}{e}+\frac{e^2}{2}-1 + 2\\=> - e + \frac{1}{2e^2}-\frac{1}{e}+\frac{e^2}{2} + 1\\\\\mathrm{Solution: - e + \frac{1}{2e^2}-\frac{1}{e}+\frac{e^2}{2} + 1}[/tex]


Related Questions

What is the average rate of change over the interval [0, 4]?

Answers

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

Given:

Interval, [0, 4]

Required:

Average range of change over [0, 4]

SOLUTION:

Find f(0) and f(4) from the graph:

[tex] f(0) = 0 [/tex] (when x = 0, y = 0)

[tex] f(4) = 3 [/tex] (when x = 4, y = 3)

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

[tex] a = 0, f(a) = 0 [/tex]

[tex] b = 4, f(b) = 3 [/tex]

Plug in the values into the formula for average rate of change.

[tex] = \frac{3 - 0}{4 - 0} [/tex]

[tex] = \frac{3}{4} [/tex]

Average rate of change [tex] = \frac{3}{4} [/tex]

6th grade math Please help ​

Answers

Answer:

17, no remainders.

Step-by-step explanation:

   

Which ratio is greater then 11/16?
A. 22:32
B. 3:8
C. 1:2
D. 3:4​

Answers

Answer:

A

Step-by-step explanation:

22:32

when you get it into the decimal form the value is greater than the value of 11/16

hope this helps please mark me as brainliest !!

Write a proportion to solve this problem.

When planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 to use their function room for the 60 guests they planned on inviting. They have since changed their plans and expect to invite 107 guests. How much should they plan to pay for the function room?

Answers

Answer: or word problems 16-21: 1) Declare a variable 2) Write an equation 3) Solve. ... planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 to use their function room for the 60 guests they planned on inviting.

Step-by-step explanation:

Express 4.05×〖10〗^(-7) in ordinary form *

Answers

Answer:

405/10⁹

Step-by-step explanation:

4,05 × 10⁻⁷ =  405/10²  ˣ  1/10⁷ = 405/10⁹

-36/(-6) find the sum or difference

Answers

Hey!

-36 divided -6 is 6.........

Find the original price of a pair of shoes if the sale price is $84 after a 30% discount.

Answers

Answer:

Original price = $ 120

Step-by-step explanation:

To find the original price given the new price and percentage discount we use the formula

[tex]original \: \: price = \frac{100}{(100 - x)} \times new \: \: price \\ [/tex]

where

x is the percentage discount

From the question

new price = $ 84

% discount = 30%

Substitute the values into the above formula and solve

That's

[tex]original \: \: price = \frac{100}{100 - 30} \times 84 \\ = \frac{100}{70} \times 84 \\ = \frac{10}{7} \times 84 \\ = 12 \times 10[/tex]

We have the final answer as

Original price = $ 120

Hope this helps you

Answer:

Step-by-step explanation:

84*0.30= $25.2

84+ 25.2 = $109.2

40 points David invests $10,000 in a savings account that pays 3.5% simple interest. If David makes no withdrawals or deposits to the account, how much will be in the account after 7 years? O $2,450 O $11,750 O $12,450 O Not Here​

Answers

Answer:

FV= $12,450

Step-by-step explanation:

Giving the following information:

David invests $10,000 in a savings account that pays 3.5% simple interest.

To calculate the future value, we need to use the following formula.

FV= PV*(1+i*n)

n= 7

i= 0.035

PV= 10,000

FV= 10,000*(1+0.035*7)

FV= $12,450

which shows two products that both result in negative values?

Answers

Answer:

Its C

Step-by-step explanation:

Answer:

its number c

Step-by-step explanation:

7 What do you think f(x) = 2 mean?​

Answers

Answer:

f(5×)-7=2

Step-by-step explanation:

5×-7=2

7f(×)=2

Which measurement is closest to the area of the shaded region of the figure in square centimeters? Diameter is 10 cm. Base & height of square is 7

Answers

Answer:

29.5 cm^2

Step-by-step explanation:

The diameter is 10 so the radius is 10/2 = 5

The area of the square is

A = s^2 = 7^2 = 49

The area of the circle is

A = pi r^2 = 3.14 * 5^2 =78.5

Subtract the area of the square from the area of the circle

78.5-49 =29.5

Answer:29.5

Step-by-step explanation:

The diameter is 10 so the radius is 10/2 = 5

The area of the square is

A = s^2 = 7^2 = 49

The area of the circle is

A = pi r^2 = 3.14 * 5^2 =78.5

Subtract the area of the square from the area of the circle

l78.5-49 =29.5 thats all

Solve the following equation by using inverse operations to find the value of x. Hint: The sum of all interior angles in a triangle is 180 degrees.

x=60
x=90
x=30
x=180

Answers

Answer:

[tex] x = 30 [/tex]

Step-by-step explanation:

Given [tex] 2x, 3x, x [/tex], as the interior angles of the ∆, since sum of interior angles of ∆ = 180°, equation to solve for the value of x is given as:

[tex] 2x + 3x + x = 180 [/tex]

Combine like terms

[tex] 6x = 180 [/tex]

Apply the inverse operation of multiplication to solve for x. Since 6 is multiplying x = 6x, to get the value of x, the inverse operation of multiplication is division. Therefore, we would divide each side of the equation by 6.

[tex] \frac{6x}{6} = \frac{180}{6} [/tex]

[tex] x = 30 [/tex]

The null space for the matrix is span{A,B} where:_____.

Answers

Answer:

A is spanned by vector.

Step-by-step explanation:

The null space of matrix is set of all solutions to matrix. The linearly independent vectors forms subset which are spanned and forms the null space. The null space of vector can be found by reducing its echelon. The non zero rows formed are the null spaces of matrix.

11. Julie wants to go shopping for new clothes. She
has a budget of $100. She spends $45 on a new pair of
jeans and $11 on each new shirt.
The equation 100 = 45 + 11s represents s, the number
of shirts Julie bought.
Write in complete sentences the first 2 steps that Julie
would use to solve this equation.

Answers

Answer:

5

Step-by-step explanation:

1. subtract 45 from both sides 55 = 11s

2. Divide by 11 on both sides  [tex]\frac{55}{11} =\frac{11s}{11}[/tex]

3. And now you have 5 = s

Ur welcome plz sub to lolyavko on yt. :)

what is 7 to the third power times 138 divided by 5

Answers

Answer:

9466.8

Step-by-step explanation:

stop deleting my answer ima roast you fuggin

Jason bought 6 movie tickets and four bags of popcorn Michael bought two movie tickets and three bags of popcorn each bag of popcorn was $5 and they spent $131 total. write an equation to solve.​

Answers

Answer:

Equation is [tex]8M + 7P = 131[/tex]

[tex]M = \$12[/tex]

Step-by-step explanation:

Given

Jason: 6 Movies and 4 popcorn

Michael: 2 Movies and 3 Popcorn

1 Popcorn = $5

Total = $131

Required

- Write an equation to solve

Represent Movie with M and Popcorn with P

For Jason, we have:

6M + 4P

For Michael, we have:

2M + 3P

Add these parameters together

Jason + Michael = $131

[tex]6M + 4P + 2M + 3P = 131[/tex]

Collect Like Terms

[tex]6M + 2M+ 4P + 3P = 131[/tex]

[tex]8M + 7P = 131[/tex]

Hence the equation is [tex]8M + 7P = 131[/tex]

From the question, we have that

[tex]P = \$5[/tex]

Substitute 5 for P

[tex]8M + 7 * 5 = 131[/tex]

[tex]8M + 35 = 131[/tex]

Solve for M

[tex]8M = 131 -35[/tex]

[tex]8M = 96[/tex]

[tex]M = \frac{96}{8}[/tex]

[tex]M = \$12[/tex]

the sum of 18 and a number x is equal to 22

Answers

Answer:

x=4

Step-by-step explanation:

the sum of 18 and a number x

that's just 18+x

is equal to 22

that means that something=22

=22

put all together

[tex]18+x=22\\\\18-18+x=22-18\\\\x=4[/tex]

The required value of x is 4.

Assume that the number we're looking for is represented by 'x'. According to the problem,

The sum of 18 and x is equal to 22.

We can write this as an equation: 18 + x = 22.

To solve for x,

Isolate it on one side of the equation.

We can do this by subtracting 18 from both sides:

18 + x - 18 = 22 - 18.

This simplifies to,

x = 4.

Therefore, the value of x that satisfies the equation is 4.

To learn more about subtraction visit:

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16 is closer to zero than-16.true or false​

Answers

Answer

True!

Step-by-step explanation:

If the number is negative it's further away from 0.

3. find the distance of the line segment with the given end points (5, 1) and (-8, 3)

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \tt{ \sqrt{173 \:}} \: units}}} [/tex]

Step-by-step explanation:

[tex] \star{ \tt{ \: \: Let \: the \: points \: be \: A \: and \: B}}[/tex]

[tex] \star{ \tt{ \: Let \: A ( 5 , 1 ) \: be \: ( x1 ,\: y1

) \: and \: B ( -8 , 3 ) \: be \: ( x2 , y2 )}}

[/tex]

[tex] \sf{ \underline{ finding \: the \: distance \: between \: these \: points}}[/tex]

[tex] \boxed{ \underline{ \underline{ \tt{distance \: = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2}}}}}}[/tex]

[tex] \hookrightarrow{ \tt{ \sqrt{ {( - 8 - 5)}^{2} + {(3 - 1)}^{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{ \sqrt{ {( - 13)}^{2} + {(2)}^{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{ \sqrt{169 + 4}}} [/tex]

[tex] \hookrightarrow{ \boxed{ \tt{ \sqrt{173} \: \: units}}}[/tex]

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

Step-by-step explanation:

(x₁ , y₁) = (5 , 1)    & (x₂ , y₂) = (-8 , 3)

[tex]Distance = \sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2}}\\\\ =\sqrt{(-8-5)^{2}+(3-1)^{2}}\\\\=\sqrt{-13)^{2}+2^{2}}\\\\=\sqrt{169+4}\\\\=\sqrt{173}units[/tex]

what are the solutions of this quadratic equation x^2 - 6x = -58

Answers

The solutions of the quadratic equation are 3  ± √ -49.

What is a Quadratic Equation?

A quadratic equation is what can be written in the form of ax²+bx+c=0.

The quadratic equation is,

x² - 6x = -58

The equation can be written as,

x² - 6x +58 = 0

Now it is in the form of the standard equation.

To determine the solutions of the quadratic equations, the formula used is

x = ( -b ± √ (b² -4ac)) / 2a

The value of a = 1

The value of b = -6

The value of c = 58

Putting the values in the formula.

x = ( 6 ± √ ((-6)² -4 * 1 * (58))) / 2 * 1

x = ( 6 ± √ (36 -232) / 2

x = ( 6 ± √ (-196) / 2

x = 3  ± √ -49

This can be written as complex numbers

i = √-1

x = 3  ± 7i

To know more about Quadratic equations

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Given B is the midpoint of A and C, and AB = 24. Find AC. *

Answers

Answer:

AC=48

Step-by-step explanation:

Since B marks the middle of A and C and AB is 24, you would need to multiply that length by two to find AC.

Plz Help!!!!!!!! I really need to pass

Answers

Answer:

[tex]x=120^o[/tex]

in order: 60, 60, 120, 120  (all of them in degrees)

Step-by-step explanation:

We need to add all four angles given (I'll use 0.5 instead of 1/2 to make the addition easier to type):

0.5 x + 0.5 x + x + x = 360

3 x = 360

x = 360/3 = 120

Therefore,  [tex]x=120^o[/tex]

now the angles are:

two of them are 1/2 of x, that is: 120/2 = 60

Then smallest angles are: [tex]60^o \,\,\,and \,\,\,60^o[/tex]

the largest are directly equal to "x", that is: [tex]120^o\,\,\,and \,\,\,120^o[/tex]

Please HElp! IM STUCKKKKKKKKKKKKKKKK!!!!!

Answers

Answer:

its (2,4)

Step-by-step explanation:

Question 9
5 pts
You earn $320 in 40 hours. At this rate how many hours do you work to earn $440? You must
include units in your answer.

Answers

Answer:

5.5 hours, or 5 and 1/2 hours, or 5 hours and 30 minutes

Step-by-step explanation:

40/320=x/44

cross multiply

40(44)=320x

1760=320x

1760/320=x

5.5

If z = 4.0 and y = 5.6, what is the value of x? z=y/x Express your answer to the tenths place (i.e., one digit after the decimal point).

Answers

Answer:

x=1.4

Step-by-step explanation:

Write the equation

[tex]\frac{5.6}{x} =4[/tex]

Multiply both sides by x

[tex]5.6=4x[/tex]

Divide both sides by 4

[tex]1.4=x[/tex]

Hope this helps! Plz award Brainliest : )

The value of x is 1.4 when z = 4.0 and y = 5.6.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given the equation as:

z = y/x

z = 4.0 and y = 5.6

To determine the value of x

⇒ z = y/x

Multiply by x on both sides

⇒ xz = y

Substitute the values z = 4.0 and y = 5.6

⇒ x(4) =(5.6)

Divide both sides by 4

⇒ x = (5.6)/(4)

⇒ x = 1.4

Hence, the value of x is 1.4 when z = 4.0 and y = 5.6.

Learn more about Arithmetic operations here:

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Maria worked 5.1 hours on Monday and 7.35 hours on Tuesday. She gets paid $9.20 an hour. How much, in dollars, did Maria earn this week

Answers

Answer:

$114.54

Step-by-step explanation:

In order to answer this question, we are going to have to do some multiplication :)

First, we will find out how much Maria got paid on Monday. In order to find this, we must multiply 5.1 hours by $9.20, so

5.1 * 9.20 = 46.92

We will be using this number a little later. Next, we have to find out how much Maria got paid on Tuesday, so we have to multiply 7.35 hours by $9.20, so

7.35 * 9.20 = 67.62

Now, we will combine the numbers:

67.62 + 46.92 = 114.54

Therefore, Maria earned $114.54 this week

Hope this helps :)

105.34 and you would first add the hours together so 5.1 + 7.35= 11.45 then you would multiple $9.20 X 11.45= 105.34

Put these numbers in order from greatest to least.6, -9/36, 21/25

Answers

Answer:

6, 21/25, -9/36

Step-by-step explanation:

Greatest
6
21/25
-9/36
Least

Question 2 of 5

Type the correct answer in the box. Use numerals instead of words.

For this item, a non-Integer answer should be entered as a fraction using/as the fraction bar.

Simplify the numerical expression.

1 + 24 + ( + 3) = 1

The expression has a value equal to ???

Answers

Answer:

27

Step-by-step explanation:

Given expression :  

    1 + 24 + ( + 3) = 1

Bring the number 1 to the left side of the equal sign. The positive 1 becomes negative 1 when brought towards the left side of the equal sign.

1 + 24 + ( + 3) - 1 = 0

Now, opening the bracket, we get

1 + 24  + 3 - 1 = 0

Negative 1 and positive 1 will get cancel

24  + 3  = 0

or 27

Therefore, the value of the numerical expression  1 + 24 + ( + 3) = 1 is 27.

please answer fastly (4/5 +2) (3- 2/3)​

Answers

Answer:

exact form: 98/15  decimal form: 6.53  mixed number form: 6 8/15

Step-by-step explanation:

hope this helped

Raina has a fabric of area 7912 centimetre square find the largest square that can be cut from it how much piece will be left in any​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question:

Raina has a fabric of area 7912 centimetre square find the largest square that can be cut from it how much piece will be left

Area of fabric = 7912 cm²

Largest square that can be cut from it :

Taking the square root of 7912

Sqrt(7912) = 88.94 cm

Hence, it can be deduced that the largest square tht can be cut from it will be 88cm

From area of a square = a²

Where area is the length of the side (since all sides are equal)

a² = 88² = 7744cm²

Hence, area left = (7912 - 7744) cm² = 168 cm²

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