Please i need to find the era bounded by the following curves

Please I Need To Find The Era Bounded By The Following Curves

Answers

Answer 1

Answer:

10 2/3 or 32/ 3

Step-by-step explanation:

5 - x^2 - (2 - 2x) =

= -x^2 + 2x + 3

Integral of (-x^2 + 2x + 3)dx from -1 to 3 =

= -x^3/3 + 2x^2/2 + 3x from -1 to 3

= -x^3/3 + x^2 + 3x from -1 to 3

= -27/3 + 9 + 9 - (1/3 + 1 - 3)

= -9 + 9 + 9 - 1/3 - 1 + 3

= 11 - 1/3

= 10 2/3 = 32/3

Answer 2

Answer:

32/3

Step-by-step explanation:

Check the pdf :)


Related Questions

You have 8 quarts of milk. You need 1.25 cups to make one serving of deep fried chicken. How many servings can you make?

Answers

Answer: 25.6 servings (partial serving) / 25 servings (whole serving)

Step-by-step explanation:

Concepts:

As we can see from the question, there are two units applied. [Quarts] and [cups]; therefore, we need to do the unit conversion.

1 quart = 4 cups

Solve:

Step one: Convert quarts into cups

1 quart = 4 cups8 quarts = 4 × 8 = 32 cups

Step two: Divide the cups to find the number of servings

32 cups / 1.25 cups = 25.6 servings

**Disclaimer** I am not sure about the rules that you apply in mathematics. Here, the answer is not an integer. I am concerned whether you would allow partial servings. In my understanding, the servings shall be a whole, thus should be rounded. However, if you are fine with decimals, then you have the choice.

Hope this helps!! :)

Please let me know if you have any questions

The California State University (CSU) system consists of 23 campuses, from San Diego State in the south to Humboldt State near the Oregon border. A CSU administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. Describe and discuss several different sampling methods that might be employed. (Select all that apply.) There are no potential problems with self reporting of distances.

Answers

Answer:

1)The sample could be generated by taking a stratified random sample by taking a simple random sample from each of the 23 campuses and again asking each student in the sample to report the distance from their hometown to campus.

2)One could take a simple random sample of students from all students in the California State University system and ask each student in the sample to report the distance from their hometown to campus.

3)Certain problems arise with self reporting of distances, such as recording error or poor recall.

Step-by-step explanation:

1)The sample could be generated by taking a stratified random sample by taking a simple random sample from each of the 23 campuses and again asking each student in the sample to report the distance from their hometown to campus.

2)One could take a simple random sample of students from all students in the California State University system and ask each student in the sample to report the distance from their hometown to campus.

3)Certain problems arise with self reporting of distances, such as recording error or poor recall.

F(x) = 4x^3 + 7x^2-2x-1

G(x) = 4x-2

Find (f-g)(x)

Answers

(F-g)(x)=4x^3+7x^2-6x+1

If anyone can give me the answer that will be greatly appreciated :)

Answers

42-x=58

or, -x=58-42

with change in side sign also chamges we change sides to make like terms in one side and unlike in amother side.

or, -x= 16

or,x=-16.

therefore x=-16...

Hope this helps you.

What is the constant of variation k of the direct variation y=KP through (-3, 2)

Answers

Answer:

isisis

Step-by-step explanation:

ISO’s

Answer:

-2/3

Answer: The constant of variation k for y = kx through (-3, 2) is k = -2/3.

Under which transformation can the image be a different size than the original
figure?
A. translation
B. rotation
C. dilation
D. reflection

Answers

C. Dilation.

Dilation can resize the image.

Translation will shift the imagine's position but won't change its actual size.

Rotation will mangle with image's orientation but also won't change its size.

Reflection is just a type of rotation which as established, also won't change its size.

Hope this helps.

Find the percentile rank for each test score in the data set. 12, 28, 35, 42, 47, 49, 50 What value corresponds to the 60th percentile

Answers

Answer:

Percentile rank:

12  =  7th

28 = 21st

35  = 36th

42  = 50th

47  = 64th

49   = 79th

50 =  93rd

- Vth number i.e. 47 is the value that corresponds to the 60th percentile.

Step-by-step explanation:

As we know,

Percentile rank = [(Number of values below x) + 0.5]/total number of values * 100

For 12,

Percentile rank = [0 + 0.5]/7 * 100

= 7th

For 28,

Percentile rank = [1 + 0.5]/7 * 100

= 21st

For 35,

Percentile rank = [2 + 0.5]/7 * 100

= 36th

For 42,

Percentile rank = [3 + 0.5]/7 * 100

= 50th

For 47,

Percentile rank = [4 + 0.5]/7 * 100

= 64th

For 49,

Percentile rank = [5 + 0.5]/7 * 100

= 79th

For 50,

Percentile rank = [6 + 0.5]/7 * 100

= 93rd

Now,

n = 7

60th percentile = 60% of n

So,

60% of n = 60/100 * 7

= 0.6 * 7

= 4.2

After rounding it off,

5th value is the 60th percentile i.e. 47.

I need to know the answer and the work it asks for

Answers

Answer:

b 25x6 = 150

25 decreases every month so

150 decreses every 6 month

800-150

650 are the bees remaining after 6 month


Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?

3, –6, 12, –24, 48,

Answers

Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?

3, -6, 12, -24, 48

The recursive formula for this sequence is

f (n + 1) = -2 f(n)

at n=1 f(n)= 3

at n = 2

f(2)=-2 (3) = -6

n = 3

f(3) = -2 (-6) = 12 and so on

hope this helps !!!!

Answer:

f (n + 1) = -2 f(n)

Step-by-step explanation:

The hypotenuse of a right triangle is 16 units and the length of one of the legs is 12 units. What is the length of the other leg in simplest radical form?

A. 2√13
B. 4√11
C. 2√17
D. 4√7

Answers

Answer:

D, 4√7

Step-by-step explanation:

Answer:

Step-by-step explanation:

c = 16

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 16^2

144 + b^2 = 256

b^2 = 256 - 144

b^2 = 112

b^2 = 16 * 7

sqrt(b^2) = sqrt(16)*sqrt(7)

b = 4 * sqrt(7)

21. Gabe Amodeo, a nuclear physicist, needs 80 liters of a 30% acid solution. He currently has a 20% solution and a 60%
solution. How many liters of each does he need make the needed 80 liters of 30% acid solution?
Gabe needs
liters of the 20% solution.
He also needs
liters of the 60% solution.

Answers

Let x be the amount (in liters) of 20% solution that Gabe uses, and y the amount (also in L) of the 60% solution.

He needs 80 L of 30% solution, so that

x + y = 80

0.20x + 0.60y = 0.30 (80) = 24

Solve for y in terms of x :

y = 80 - x

Substitute this into the second equation and solve for x :

0.20x + 0.60 (80 - x) = 24

0.20x + 48 - 0.60x = 24

24 = 0.40x

x = 60

Solve for y :

y = 80 - 60

y = 20

During a certain 9-year period, the Consumer Price Index (CPI) decreased by
45%, but during the next 9-year period, it decreased by only 5%. Which of
these conditions must have existed during the second 9-year period?
A. Deflation
B. Stagnation
C. Conflation
D. Inflation

Answers

Answer:

deflation ,,,,

Step-by-step explanation:

I hope it's helpful for you ☺️

Deflation must have existed during the second 9-year period.

What is deflation?

Deflation is a decrease in the general price level of goods and services in an economy over a period of time. This means that the purchasing power of money increases, as the same amount of money can buy more goods and services.

The opposite of inflation, which is an overall rise in the cost of goods and services over time, is deflation. Money loses value due to inflation, whereas it gains value due to deflation. Deflation can reduce demand for goods and services, though, if it lasts for a long time. This is because customers may put off purchases in expectation of cheaper costs. A downturn in economic activity may follow, which would be bad for the economy.

Given data ,

Deflation is a decrease in the general price level of goods and services in an economy over a period of time. A decrease in the Consumer Price Index (CPI) is a measure of deflation.

In the first 9-year period, the CPI decreased by 45%, which indicates a significant deflationary period. In the next 9-year period, the CPI decreased by only 5%, which still indicates a deflationary period, but not as severe as the previous one.

Hence , the process is deflation in the second year

To learn more about deflation click :

https://brainly.com/question/30060490

#SPJ7

Solve for x Solve for x Solve for x

Answers

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The two right triangles share angle A, so the similarity statement can be written ...

  ΔABC ~ ΔADE

Corresponding sides are proportional, so we have ...

  BC/DE = AB/AD

  x/12 = 3/(3+9)

  x = 3 . . . . . . . . . . multiply by 12

Answer:

x=3

this is correct!!!

Please Help! What's the rule that represents the sequence 13, 27, 41, 55, ...?

Answers

the answer is B. an = 13 + 14(n-1)

Answer:

B

Step-by-step explanation:

an = a+(n-1)d

an=13+(n-1)14

d=14

please help, will give brainliest!!!

Answers

Answer:

f^-1(x) = sqrt(x+4)

Step-by-step explanation:

y = x^2 -4

Exchange x and y

x = y^2 -4

Add 4 to each side

x+4 = y^2

Take the square root of each side

sqrt(x+4) = y

f^-1(x) = sqrt(x+4)

Answer:

f^-1(x) = sqrt(x+4)

Step-by-step explanation:

what is proportion as applied in mathematics​

Answers

Answer:

como se siente el actor al presentar la obra hola

...............................................................

Answers

You got a question...or..?

I need help with this

Answers

Answer: D

Step-by-step explanation:

When a coordinate is reflected over the y-axis, it changes from (x, y) to (-x, y)

The three coordinates of ΔCDE are

C = (-8, -1)D = (-6, -5)E = (-2, -4)

After the y-axis reflection, they'll become:

C' = (-(-8), -1) = (8, -1)D' = (-(-6), -5) = (6, -5)E' = (-(-2), -4) = (2, -4)

I hope this is correct :\

Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds, and y is the distance in meters from the starting line.

Red car: y = 3 x + 5. Blue car: y = 4 x.

How many solutions should Sudhanshu find?
zero
one
two
infinite

Answers

Answer:

One

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Solving systems of equations

Step-by-step explanation:

Step 1: Define

Identify systems

y = 3x + 5

y = 4x

Step 2: Solve

If we compare the 2 lines, we can see that they both have a different slope. If they had the same slope but different y-intercepts, then they would be parallel and have no solution. We can also see that the 2 lines aren't the same. If they were, then they would have infinite solutions.

∴ the systems should have only one solution.

Answer:

B

Step-by-step explanation:

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the 82% confidence interval to 25 points, how many students should the administrator sample

Answers

Answer:

The appropriate solution is "259".

Step-by-step explanation:

According to the question,

[tex]\sigma = 300[/tex]

[tex]M.E=25[/tex]

At 82% CI,

[tex]\alpha = 0.18[/tex]

Critical value,

[tex]Z_c=1.341[/tex]

Now,

The sample size will be:

⇒ [tex]n=(Z_c\times \frac{\sigma}{E} )^2[/tex]

By substituting the values, we get

      [tex]=(1.341\times \frac{300}{25} )^2[/tex]

      [tex]=(1.341\times 12)^2[/tex]

      [tex]=259[/tex]

James, Aimee and Zack have
weighed their suitcases. Each
weighs a prime number of
kilograms and the total weight
is 40kg.
an
What's the difference between
the lightest and heaviest
suitcase?​

Answers

Answer:

29Kg

Step-by-step explanation:

P1=2Kg

P2=7Kg

P3=31Kg

P3-P1=29Kg

To find P1, P2 and P3 I started assigning the first prime number, 2, to P1 and tried to assign prime numbers to P2 and P3 so that the sum was 40, increasing them at each step.

I was lucky and I got the result after few steps :-)

Let sin A = -5/13 with 270 degrees < A < 360 degrees and cos B = -15/17 with 90 degrees < B < 180 degrees find sin (A+B)

Answers

Answer:

Step-by-step explanation:

Subtract 7 pounds 3 ounces from 10 pounds

Answers

(10 pounds) - (7 pounds 3 ounces) =
2.8125 pounds

(c³d)a(cd⁷)a
Simplify

Answers

Answer:

= c^4 d^8 a^2

Step-by-step explanation:

Apply exponent rule: aa= a^2

= c^3 da^2 cd^7

= c^4 da^2 d^7

= c^4 d^8 a^2

Someone help please

Answers

66 because you have to solve the problem next time

Refer to the values described below, then identify which of the following is most appropriate: discrete random variable, a. Responses to the survey question "How many pets do you have?" b. Exact heights of the next 100 babies born in a region c. Responses to the survey question "What is your eye color?" d. Exact foot length of humans e. Number of people in families a. Since the outcomes are b. Since the outcomes are countable, this is this is a discrete random variable. random variable.

Answers

Answer:

Exact heights of the next 100 babies born in a region.

Step-by-step explanation:

A discrete random variable involves two key factors ; discrete and randomness ; Hence, a discrete random variable should have a finite or countable Number of outputs or values. It should also stem from a random procedure. Here, the height of the next hundred babies is a random procedure as the next 100 babies in the region are unknown until Given birth too and as such all pregnant women have the chance of having their babies among. Since, we are dealing with exact height values which are countable (100), then we this is a discrete random variable.

Function: g(x) = 2x2 - 8


Answers

Answer:

f(x)= √ 1 2 x + 4 For x ≤ 0

Step-by-step explanation:

find the area of this unusual shape.

Answers

Answer:

104 m^2

Step-by-step explanation:

First find the area of the rectangle

A = l*w = 10*8 = 80

Then find the area of the triangle

A = 1/2 bh = 1/2 (8) * 6 = 24

Add the areas together

80+24 = 104 m^2

How many gallons each of 25% alcohol and 5% alcohol should be mixed to obtain 20 gal of 16% alcohol?

Answers

Answer:

✓ x gal of 25% 20-x gal of 5% pure alcohol is x(.25)+(20-x)(.05)=20*.16=3.2 so .25x+1-.05x=3.2 gallons of 25% .20x=2.2 gallons of 5% x=11 gallons of 25%.

Step-by-step explanation:

Hope this helps~ ;D

Find m These questions getting hard

Answers

Answer:

the

Step-by-step explanation:

it's fairly easy actually. You just have to use sin

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