Find the area of the shaded region.f(x)=4x+3x2−x3,g(x)=0
The area is _____.

Answers

Answer 1

Answer:

The answer is " [tex]\bold{\frac{7}{2}}[/tex]"

Step-by-step explanation:

Given value:

[tex]\to f(x)=4x+3x^2-x^3\\\\\to g(x)=0[/tex]

Find:

area=?

calculation:

[tex]\ Area = \int_{-1}^{0} -(4x+3x^2-x^3) dx + \int_{0}^{1} (4x+3x^2-x^3) dx \\\\[/tex]

        [tex]= -(2x^2+x^3- \frac{x^4}{4})_{-1}^{0} + (2x^2+x^3- \frac{x^4}{4})_{0}^{1}\\\\\\= -( 2x^2+x^3- \frac{x^4}{4})_{-1}^{0} + (2x^2+x^3- \frac{x^4}{4})_{0}^{1}\\\\\\= ( 2- 1 -\frac{1}{4}) + (2+1- \frac{1}{4})\\\\\\= ( \frac{8-4-1}{4}) + (\frac{8+4-1}{4})\\\\= ( \frac{3}{4}) + (\frac{11}{4})\\\\= \frac{3}{4} + \frac{11}{4}\\\\= \frac{11+3}{4}\\\\= \frac{14}{4}\\\\= \frac{7}{2}\\\\[/tex]


Related Questions

Write each number as a product of primes 1. 120 2. 160

Answers

Answer:

120=2*2*2*3*5

160=2*2*2*2*2*5

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

1.   120 = 12  * 10

= 2*2*3*2*5

= 2*2*2*3*5

2.  160 = 10 * 16

= 2*5*2*2*2*2

= 2*2*2*2*2*5

Janelle earned $253.75 for 5 days of work. how do I find her unit rate of pay?​

Answers

Answer:

50.75

Step-by-step explanation:

253.75/5

What does this say? Please Help me!

Answers

Answer:

That is a child mom with triplets.

Step-by-step explanation:

Ms. D bought 18 bagels for $1.35 each and 2 containers of cream cheese for $3.45 each. Write and evaluate ONE expression to find the total cost of the food.

Answers

Answer:

(18+2)x($1.35+$3.45)= $96

Could I please have BRAINLIEST.

What is the subsets of 10

Answers

Answer:hi

Step-by-step explanation:

what is an equivalent expression to 6(x-5)?

Answers

Answer:

6x-30

Step-by-step explanation:

you use distribution

Answer: 6x -30

Step-by-step explanation: Distribute the 6 to x and -5 to get 6x -30.

Identify the intersection of line l line m

Answers

The answer is (1 , 3)

Please help me it due today

Answers

Answer:

i think the answer is A

Step-by-step explanation:

if u select the answer C then he will not be able to collect at least 1000

each week but he can collect less.

as remaining 6 weeks and remaining signatures at least(point to be noted)

1000-520=480

so each week he will collect at least= 480/6=80 its at least but he can collect more than 80 because the limit is at least 1000.......

so the answer is including 80 or more than that....that means the answer is A.......THANK U(I think its the answer but not 100% sure)

Tracey paid $165 for an item that was originally priced at $450. What percent of the original price did Tracey pay? Round your percentage answer to two decimal places.

Answers

Answer:

36.67%

Step-by-step explanation:

To find the percent, divide 165 by 450 (part over whole) and multiply by 100

(165/450) x 100

= 36.67

So, Tracey paid 36.67% of the original price

1. Name the indicated geometric figures for the figure shown. Be sure to use correct notation.


A Name a point. _________

B Name a ray through Y. _________

C Name a line through Z. _________

D Name a plane. _________

Answers

Answer:

Step-by-step explanation:

A). There are three points given on the plane R.

    Point X, point Y and Point Z.

B). A ray from the point Y → [tex]\overrightarrow{XY}[/tex]

   A ray starting from point X and passing through Y to infinity.

C). Name of a line → [tex]\overleftrightarrow{YZ}[/tex]

    Aline passes through two points with both the ends directing towards infinity.

D). Name of a plane → Plane R or Plane XYZ

    A plane is defined by three points lying on the same surface.

Suppose you work for a company that manufactures electronics. The development analysts estimate that 5% of their flagship product will fail within 2 years of the purchase date, with a replacement cost of $ 1200. A newly hired associate at the company proposes to charge $ 50 for a 2-year warranty. 1. Compute the expected value of this proposal. Let X be the amount profited or lost (by the company) on the warranties and P(X) is the probability. 2. Interpret the expected value in complete sentences.

Answers

I’m not sure but I tried

The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.

Interpretation of the expected value:

The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses.

To compute the expected value of the proposal, we need to calculate the amount profited or lost (X) by the company on the warranties and the probability (P(X)) of each outcome.

Now, we have,

The product doesn't fail within 2 years, and the company earns $50 from the warranty.

The product fails within 2 years, and the company incurs a replacement cost of $1200 but keeps the $50 warranty fee.

The probability of the product not failing within 2 years is 1 - 0.05 = 0.95,

and the probability of the product failing within 2 years is 0.05.

Now, we have to find the expected value (E(X)):

[tex]E(X) = P(X_1) * X_1 + P(X_2) * X_2[/tex]

Where:

[tex]P(X_1)[/tex] = Probability of the product not failing within 2 years = 0.95

[tex]X_1[/tex] = Amount profited when the product doesn't fail within 2 years = $50

[tex]P(X_2)[/tex] = Probability of the product failing within 2 years = 0.05

[tex]X_2[/tex] = Amount lost when the product fails within 2 years = -$1150 (Replacement cost of $1200 - $50 warranty fee)

E(X) = 0.95 * $50 + 0.05 * (-$1150)

E(X) = $47.50 - $57.50

E(X) = -$10

The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.

Interpretation of the expected value:

The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses. As a result, the company might want to reconsider the pricing of the warranty or look for other ways to reduce the potential costs associated with the product failures.

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The double number line shows that
4
44 pounds of almonds cost
$
34
$34dollar sign, 34.

Answers

Answer:

round them up

Step-by-step explanation:

Determine whether the underlined numerical value is a parameter or statistics.

The average annual salary of 50 of a company's 800 employees is $54,000.

Answers

Answer:

The numeric value is a statistic because the data set of salaries of 50 employees is a sample

Step-by-step explanation:

50 of a company's 800 employees is $54,000.

800 is the population, of all the employees of the company

$54,000 is the value of 50 employees which sample or subset is of 800 employees

HELP !! Find the x with the details in this picture^^

Answers

Answer:

x = 3.9

Step-by-step explanation:

So the whole angle PQS = 111 degrees

it gave you part of it so subtract that off . 111 - 72 = 39 degrees

10 times what equals about 39 degrees.

39/ 10 = 3.9

Three students have proposed these ways to describe when two lines l and m are perpendicular: Read screenshot for info. Explain why each of these definitions is correct. What are some of the advantages and disadvantages with each?

Answers

Answer:

a. The definition that l and m are perpendicular if they meet at one point and one of the angles at their point of intersection is a right angle

The above definition is correct because, where two lines intersect, forming an angle of 90° with each other, then, by definition of perpendicular lines, the direction of one line is perpendicular to the other

The advantage of the above definition are;

1) It is simply stated and therefore, will be easier to understand

2) It can be easily used to test the perpendicular relationship between two objects

Disadvantages

1) It gives limited description of the other characteristics of the line

2) It does not state if the lines extend past each other after the point at which they cross

b. For the definition, l and m are perpendicular if they meet at one point and all four of the angles at their point of intersection are right angles

The above definition is correct as it meets the condition of two lines to be perpendicular to each other

Advantages

1) It clearly describes the relationship between the lines and their appearance

2) It indicates that the sun of angles at the point of intersection is 360°

Disadvantage

1) The resulting detail of the four angles may lead to ambiguity in the case where the two lines do not cross and there are only three angles formed at the point

c. For the definition, l and m are perpendicular if they meet at one point and reflection about l maps m to itself

The above definition is correct as it indicates the requirement for the continuity of the definition of the on line after crossing the other line

Advantages

1) It defines the condition of perpendicularity without the requirement for measuring the angles

2) It states the symmetrical condition of perpendicular lines about the vertical axis

Disadvantages

1) It requires further clarification in order to be related to the original definition of perpendicular lines being lines that are at right angle to each other.

Step-by-step explanation:

Incorrect answers will be reported, first correct answer will get brainiest.

Are the compositions of f(x) = 1 and g(x) = 2 commutative? Why or why not?

They are commutative, because f(x) and g(x) are constant functions.
They are commutative, because f(g(x)) and g(f(x) are constant functions.
They are not commutative, because f(x) and g(x) are not equal.
They are not commutative, because flg(x)) and g(f(x) are not equal.

Answers

Answer:

  They are not commutative, because f(g(x)) and g(f(x) are not equal.

Step-by-step explanation:

In order for the composition of the functions to be commutative, we must have ...

  f(g(x)) ≡ g(f(x))

for all values of x.

Here, we have f(g(x)) = 1 and g(f(x)) = 2. f(g(x)) and g(f(x)) are not equal, so the composition of the functions is not commutative.

Answer:

D. edg 2022

Step-by-step explanation:

Find the value 10 4 exponent

Answers

Answer:
=10^4

=10×10×10×10
=
10
×
10
×
10
×
10

=10000

What is the least common multiple of these two denominators 3/6 2/12

Answers

Answer:

1 1/2 = 36/24

3/8 = 9/24

5/6 = 20/24

3 = 72/24

Step-by-step explanation:

if this answers it or it is just 12

The least common multiple of these two denominators 6 and 12 is 2.

To find the least common multiple (LCM) of the denominators 6 and 12, follow these steps:

Step 1: Prime factorize each denominator.

6 = 2 × 3

12 = 2 × 2 × 3

Step 2: Identify the highest power of each prime factor.

In this case, the highest power of 2² is 2 and the highest power of 3 is 3.

Step 3: Multiply the highest powers of all prime factors.

[tex]2^2 * 3^1 = 4 * 3 = 12[/tex]

Therefore, the LCM of the denominators 6 and 12 is 2.

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HELP!!! Will give brainliest!!! How do you slove a two step equation with fractions involved?

Answers

I hope that this is what you are looking for

Step-by-step explanation:

Let's take the following question as an example,

[tex]\frac{2}{3} x-\frac{1}{4} = \frac{1}{6}[/tex]

Start by adding 1/4 to both sides.

[tex]\frac{2}{3} x - \frac{1}{4} + \frac{1}{4} = \frac{1}{6} + \frac{1}{4}[/tex]

[tex]\frac{2}{3}x = \frac{1}{6}+ \frac{1}{4}[/tex]

To add both 1/6 and 1/4 together we must have a common denomitor.

The common denominator for 1/6 and 1/4 is 12

[tex]\frac{2}{3}x = (\frac{1}{6}*\frac{2}{2} ) + (\frac{1}{4}*\frac{3}{3} )[/tex]

Multiple to get the common denomiators

[tex]\frac{2}{3}x = (\frac{2}{12}) + (\frac{3}{12} )[/tex]

Now we can add the fractions.

[tex]\frac{2}{3}x = \frac{5}{12}[/tex]

To get the x by itself we can either multiple by the reciprobcal of 2/3 or multiple by 3 and then divide by 2

[tex](\frac{3}{2} )* \frac{2}{3} x = (\frac{5}{12})(\frac{3}{2})[/tex]

The left side will become x as 3/2 and 2/3 cancel each other out

[tex]x = (\frac{5}{12}) (\frac{3}{2})[/tex]

Multiple the right side to get a value for x

[tex]x = \frac{15}{24}[/tex] or [tex]x = \frac{5}{8}[/tex]

If you notice we can simplfy the fraction to 5/8

If UV = 5, VW = 4x − 1, and UW = 5x + 2, what is UW? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you type in step by step so I could understand it too?

Answers

Answer:

12

Step-by-step explanation:

UV + VW = UW

[tex]5+(4x-1)=5x+2[/tex]

Remove brackets:

[tex]5+4x-1=5x+2[/tex]

Solve [tex]5-1=4:[/tex]

[tex]4x+4=5x+2[/tex]

Subtract 4 from both sides:

[tex]4x+4-4=5x+2-4[/tex]

[tex]4x=5x-2[/tex]

Subtract 5x from both sides:

[tex]4x-5x=5x-2-5x[/tex]

[tex]-x=-2[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-2}{-1}[/tex]

[tex]x=2[/tex]

[tex]UW=5x+2=5(2)+2=10+2=12[/tex]

Right now, Molly is twice as old as Nancy. Zander is 6 years younger than Molly. Which expression represents Molly's current age in terms of Nancy's? Which expression represents Molly's current age in terms of Zander's? Nancy is currently 10 years old, and Zander is 14. How old is Molly?​

Answers

Answer: 1.) 2n 2.) z+6 3.) 20 years old

Step-by-step explanation:

Answer:

answer one: 2n

answer two: z + 6

answer three: 20 years old

Step-by-step explanation:

edge 2020

In a population of elderly war veterans, the probability that a veteran will have been exposed to agent orange (a militarized herbicide) and develop cancer is 0.35. The probability is 0.75 that a veteran exposed to agent orange will develop cancer. The average age of the veterans is 67 years old. What is the probability that a random veteran will have been exposed to agent orange

Answers

Answer:

Probability that a random veteran will have been exposed to agent orange is 0.4667

Step-by-step explanation:

P(exposed to agent cancer and develop cancer) = 0.35

P(develop cancer given he is already exposed to agent orange) = 0.75

P(is exposed to agent cancer) = ?

 

P(A given B) = P(A and B)/P(B),

P(develop cancer | exposed to agent orange)  = P(develop cancer and exposed to agent orange)/P(exposed to agent orange)  

0.75 = 0.35/P(exposed to agent orange)  

P(exposed to agent orange) = 0.35/0.75

P(exposed to agent orange) = 0.4667

Solve for x.
-3(2x – 1) – 3x – 4 = 17

Answers

The Answer Is x=-2

Hope This Help's

Answer:

[tex] \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star[/tex]

Step-by-step explanation:

[tex]: \implies{ - 3(2x - 1) - 3x - 4 = 17}[/tex]

[tex]: \implies{ - 6x + 3 - 3x - 4 = 17}[/tex]

[tex]: \implies{ - 6x - 3x + 3 - 4 = 17}[/tex]

[tex]: \implies{ - 9x - 1 = 17}[/tex]

[tex]: \implies{ - 9x = 17 + 1}[/tex]

[tex]: \implies{ - 9x = 18}[/tex]

[tex]: \implies{ \displaystyle{x = \frac{18}{ - 9} }}[/tex]

[tex] \: \: \: \: \: \: \: \: \star{ \: \implies{ \red{x = - 2}}}[/tex]

Your first assignment at El Smello Perfume Co. is to determine the proper setting for filling the bottles. The company wishes to keep profits high by using as little perfume as possible, but a government regulation states that no more than 2.5% of the bottles may contain less than the stated volume on the bottle. If the bottles you are filling are stated to contain 100 mL, what is the minimum volume you should use for filling if the standard deviation in the fill level is /- 1.6 mL. (Hint: assume an infinite number of samples where the CI is x /- ts and t

Answers

Answer:

The answer is "96.864 ml".

Step-by-step explanation:

In this question, the formula of [tex]\bold{CI = X \pm t \times s}[/tex].

( where X is the mean, t is the coefficient, and s is the mean difference error)

As a result, only 2.5% of containers might include less than 100 ml of volume, its trust coefficient could indeed be used in accordance with 95%, which is [tex]t=1.96[/tex].  

And it can take [tex]\pm \ 1.6 \ ml[/tex] to have been the full value the standard infinite:  [tex]\to CI = 100 \pm (1.96 \times 1.6) \\\\[/tex]

         [tex]= 100 \pm (3.136) \\\\[/tex]

Consequently, if the standard error is  [tex]\pm \ 1.6 \ ml[/tex] , a similar amount should be used to fill  

[tex]= 100 - 3.136 \\\\= 96.864 \ \ mL[/tex]

* 1. Name a point on line n. 2. Name a segment on line m. 3. Name a ray with endpoint C. 4. Name three collinear points.​

Answers

Answer:

1. D

2. AE (with a line above the 2 letters)

3. AC (with an arrowpointing to the right above the 2 letters)

4. B, A, and C

What is the distance from the origin to point A graphed on the complex plane below?

Answers

Answer: B

Step-by-step explanation:

Answer:

option B, square root of 13

Step-by-step explanation:

i took the quiz on edge and got it right. :,)

One of the most spectacular and least known hummingbirds is the Marvelous Spatuletail, Loddigesia mirabilis, found in only in a single remote valley in northern Peru (see photo below). In this valley the mean density is 3 spatuletails per 100-hectare quadrat. (a) What is the probability a random quadrat contains less than 3 spatuletails

Answers

Answer:

P(x < 3) = 0.42319

Step-by-step explanation:

From the given information:

The mean density [tex]\lambda =[/tex] 3

Let x be the random variable that follows a Poisson distribution.

Therefore:

[tex]\mathtt{P(x) = \dfrac{e^{-\lambda} \lambda ^x}{x!}}[/tex]     for x =1, 2, 3...

However, the probability that a random quadrat contains less than 3 spatuletails can be computed as:

[tex]\mathtt{P(x <3 ) = \dfrac{e^{-3}3 ^0}{0!}+ \dfrac{e^{-3}3 ^1}{1!}+ \dfrac{e^{-3} 3 ^2}{2!} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} \dfrac{3 ^0}{0!}+ \dfrac{3 ^1}{1!}+ \dfrac{3 ^2}{2!} \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} \dfrac{1}{1}+ \dfrac{3 }{1}+ \dfrac{9}{2} \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} 1+3+ 4.5 \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix}8.5 \end {pmatrix} }[/tex]

P(x < 3) = 0.42319

Translate the following algebraic expression into a written expression 3x ^ 2 + 2y + 1/2

Answers

Answer:

5

Step-by-step explanation:

Find surface area of the regular pyramid plz help ASAP

Answers

Answer:

B.  3,157 in^2

Step-by-step explanation:

surface area of a pyramid shown = 3x lateral area + base area

given:

s1 = s2 = s3 = 42 in

L = 38 in

lateral area = ( 1/2 * 42 * 38 ) = 798 sq. in

base area = √3 * s^2

                          4

                 = √3 * 42^2

                             4

                 = 763.834 sq. in

therefore,

surface area of a pyramid shown = 3x 798 + 763.834 = 3,157 in^2

Answer:

= 3,157 in^2

Step-by-step explanation:

surface area  = 3x lateral area + base area

given:

side lengths area s1 = s2 = s3 = 42 in

slant height = 38 in

lateral area = ( 1/2 * 42 * 38 )

                   = 798 sq. in

base area = (√3 * s^2 ) / 4

                  = (√3 * 42^2 ) / 4

                 = 763.83 sq. in

surface area = 3x 798 + 763.834

                     = 3,157 in^2

Is this correct as well?

Answers

Answer:

yes it is

Step-by-step explanation:

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