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

How does the graph of this function compare with the graph of the parent function, y=1/x? It is shifted right 5 units and up 2 units from the parent function. It is shifted left 5 units and up 2 units from the parent function. It is shifted right 5 units and down 2 units from the parent function. It is shifted left 2 units and down 5 units from the parent function. It is shifted right 2 units and up 5 units from the parent function. It is shifted left 2 units and up 5 units from the parent function.

Answers

Answer:

It is shifted left 5 units and up 2 units from the parent function.

Step-by-step explanation:

Given

[tex]y = \frac{1}{x}[/tex]

[tex]y' = \frac{1}{x+5} + 2[/tex]

Required

Compare both functions

First, translate y, 5 units left.

The rule is:

[tex](x,y) \to (x + 5,y)[/tex]

So, we have:

[tex]y = \frac{1}{x}[/tex]

[tex]y_1 = \frac{1}{x + 5}[/tex]

Next, translate y1, 2 units up.

The rule is:

[tex](x,y) \to (x,y+2)[/tex]

So, we have:

[tex]y' = y_1 + 2[/tex]

[tex]y' = \frac{1}{x + 5} + 2[/tex]

Hence, the transformation is:

5 units left and 2 units up

Answer:

b

Step-by-step explanation:


Family Video stocks 1003 drama movies, 518 science fiction movies and
253 children's movies. How many more drama titles than children's
titles does Family Video have in stock?

Answers

Answer:

There are 750 more drama movies that children's movies.

Step-by-step explanation:

There are 1003 drama movies, and 253 children's movies.

1003 - 253 = 750

Assume you have a ticket that will let you participate in a game of chance (a lottery) that will pay off $10 with a 45% chance (or a 55% chance of getting nothing). Your friend has a ticket to a different lottery that has a 20% chance of paying $25 (or an 80% chance of paying nothing). Your friend has offered to let you have his ticket if you will give him your ticket plus one dollar.

Required:
Build an influence diagram for this problem.

Answers

Solution :

I have a lottery ticket that will pay off $ 10 with a 45% chance and a friend of mine has a chance of 20% by paying off $ 25.

It is based on Double risk dilemma.

Individual --- trade ticket (-1)  ----24 (win(25) (0.20))                    

                                               ----- -1 (lose ) (0.80)

               ----- keep trade -------10 (win 10) (0.45)

                                        ----- 0 (lose) (0.55)

Next, solve the decision tree using expected monetary value.

EVM (keep ticket) = 0.45 (10) + 0.55 (0) = $ 4.50

EVM (trade ticket) = 0.20 (24) + 0.80 (-1) = $ 4

Therefore, we keep the ticket and do not trade.

Please help, I'll give brainliest to the correct answer <3


A company recently purchased a new set of laser printers.

The value of the laser printers P, in dollars, t years after the purchase can be represented by the function P(t)=1,900(0.82)t.

Interpret the meaning of the function in the context of this situation.(1 point)


The initial value of the laser printers was $1,900, and the value increases by 82% each year.


The initial value of the laser printers was $1,558, and the value decreases by 82% each year.


The initial value of the laser printers was $1,558, and the value decreases by 18% each year.


The initial value of the laser printers was $1,900, and the value decreases by 18% each year.

Answers

Answer:

The initial value of the laser printers was $1,900, and the value decreases by 18% each year.

Step-by-step explanation:

Here ya go bestie <3

Which is equal to (3x + 2)(x – 3)?
Please answer asappp

Answers

(3x +2)(x -3)

FOIL method

3x^2 -9x + 2x -6

3x^2 -7x -6

Your answer: 3x^2 -7x -6

Suppose that a defendant in a first-degree murder trial has 52% chance of being convicted of murder, a 26% chance of being convicted of a lesser charge, and a 22% chance of being found not-guilty. Find the percent chance that the defendant is convicted on any charge.

Answers

Answer:

78%

Step-by-step explanation:

This question is pretty straight forward. Here we are to find the percentage probability of the of the defendants being convicted on any charge.

From the information available to us there's a 52% chance of being convicted of murder and also there's another 26% chance of conviction of something smaller. From this data available, the percentage chance that there will be a conviction is

52% + 26%

= 78%

Maria, Kevin, and Dan have a total of 96$ in their wallets. Dan has 6$ less than Maria. Kevin has 3 times what Dan has. How much do they have in their wallets?

Answers

Answer:

Hi Keke,

Let Amy have x dollars. Then Jose has x - 8 dollars and Milan has 4(x - 8) dollars.

x + (x-8) + 4(x-8) = 152

6x - 40 = 152

6x = 192

x = 32

Amy has $32

Jose has 32 - 8 = $24

Milan has 4*24 = $96

please give me correct answer​

Answers

Answer:

150 e udi,auwdbkhg

disha

eiwiwisj8293

ajesjhf

8ઈઘુઘ

What are the coordinates of the point on the directed line segment from (-2,6) to (3,-9) that partitions the segment into a ratio of 3 to 2?

Answers

9514 1404 393

Answer:

  (1, -3)

Step-by-step explanation:

The point P that partitions AB into the ratio m:n is ...

  P = (mB +nA)/(m+n)

The point you're looking for is ...

  P = (3(3, -9) +2(-2, 6))/(3+2) = (9-4, -27+12)/5 = (5, -15)/5

  P = (1, -3)

The graph shows the distribution of lengths of songs (in seconds). The distribution is approximately Normal, with a mean of 227 seconds and a standard deviation of 31 seconds.

A graph titled Song length has length (seconds) on the x-axis, going from 103 to 351 in increments of 31. The highest point of the curve is at 227.

What percentage of songs have lengths that are within 31 seconds of the mean?

34%
68%
95%
99.7%

Answers

its everything between 196 and 258 seconds (at max 31secs away from the mean). imagine straight upward lines separating this area from the rest.

34% would be way too low, 95 and above way too much.

only 68% is remotely plausible.

Which is most likely the correlation coefficient for the
set of data shown?

Answers

Answer:

Step-by-step explanation:

It would -.21. Negative because the trend of the line sort of resembles a line with a negative slope, and .21 because the dat points do not even remotely resemble a line. The closer that number is to 1, the closer the dots will be to fitting on the line.

A ball is thrown from an initial height of 4 feet with an initial upward velocity of 40 feet per second. The ball's height h (in feet) after t seconds is given by the following. h=4+40t-16t2 Find all values of for which the ball's height is 26 feet.

Answers

Answer:

Step-by-step explanation:

To find the times that the height is 26 feet, we set the position equation equal to 26 and solve for t:

[tex]26=-16t^2+40t+4[/tex] and

[tex]0=-16t^2+40t-22[/tex] and factor that however you are factoring in class to solve a problem like this. When you do that you get

t = .86 seconds and t = 1.68 seconds. That means that .86 seconds after the ball is thrown into the air, it reaches a height of 26 feet; it goes up to its max height and then gravity takes over and pulls it back down. When this happens, it will pass 26 feet again on its way back down. This second time is after 1.68 seconds.

Amanufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433 gram setting. It is believed that the machine is underfilling the bags. A 26 bag sample had a mean of 427 grams with a variance of 324. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled?

Answers

Answer:

There is not enough evidence to support the claim that the bags are under filled.

Step-by-step explanation:

Given :

Population mean, μ = 433

Sample size, n = 26

xbar = 427

Variance, s² = 324 ; Standard deviation, s = √324 = 18

The hypothesis :

H0 : μ = 433

H0 : μ < 433

The test statistic :

(xbar - μ) ÷ (s/√(n))

(427 - 433) / (18 / √26)

-6 / 3.5300904

T = -1.70

The Pvalue :

df = 26-1 = 25 ; α = 0.05

Pvalue = 0.0508

Since Pvalue > α ; WE fail to reject the Null and conclude that there is not enough evidence to support the claim that the bags are underfilled

You measure 40 watermelons' weights, and find they have a mean weight of 67 ounces. Assume the population standard deviation is 11.4 ounces. Based on this, what is the maximal margin of error associated with a 99% confidence interval for the true population mean watermelon weight.

Answers

Answer:

[tex]35.36,44.64[/tex]

Step-by-step explanation:

Sample size [tex]n=40[/tex]

Mean weight [tex]\=x =67[/tex]

Standard deviation [tex]\sigma=11.4[/tex]

Confidence Interval [tex]CI=0.99[/tex]

\alpha==0.01

Therefore

[tex]Z_{\frac{\alpha}{2}}=Z_[0.005][/tex]

From table

[tex]Z_{\frac{\alpha}{2}}=2.576[/tex]

Generally, the equation for Margin of error is mathematically given by

[tex]M.E=Z_{\frac{\alpha}{2}}*(\frac{\sigma}{sqrt{n}}[/tex]

[tex]M.E=2.576*(\frac{11.4}{\sqrt{40}}[/tex]

[tex]M.E=4.64[/tex]

Therefore Estimated mean is

[tex]\=x-M.E<\mu <\=x +E[/tex]

[tex]40-4.64<\mu< 40+4.64[/tex]

[tex]35.36<\mu < 44.64[/tex]

[tex]35.36,44.64[/tex]

Hi. I need help with part b thank you so much if you can do so

Answers

9514 1404 393

Answer:

  Yes, that distance is the hypotenuse of a right triangle whose sides are known

Step-by-step explanation:

The diagram seems to show the path of the ball as being two segments that are at right angles to each other. Then the direct-line distance to the hole from the tee is the hypotenuse (part A) of the triangle.

Since the leg lengths are known, the Pythagorean theorem can be used (part B) to find the length of the hypotenuse. (The answer to Part B is also the answer to Part C.)

The sum of three numbers is 124
The first number is 10 more than the third.
The second number is 4 times the third. What are the numbers?

Answers

Answer:

182/3,3 8/3, 152/3

Step-by-step explanation:

a+b+c=124

a trừ c=  10

4b=c

Answer:

a=29,b=79,c=19

Step-by-step explanation:

a=c+10

b=4c

=> a+b+c=c+10+4c+c=124

=> c=19

=> a= 29, b=79

Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that
∠A1 is smaller than ∠A2.)
b = 129, c = 168, ∠B = 48°
Angle A1 Angle A2
Angle C1 Angle C2
side a1 side a2

Answers

Answer:

∠A1 = 27.4°, ∠A2 = 56.6°, ∠C1 =104.6°, ∠C2=75.4°, a1 = 79.9 and a2 = 144.9

Step-by-step explanation:

From Sine rule

[tex]\frac{a}{sinA}=\frac{b}{sinB} = \frac{c}{sinC}[/tex]

∴ b / sinB = c / sinC

From the question,

b = 129, c = 168 and ∠B = 48°

∴ 129 / sin48° = 168 / sinC

Then, sinC = (168×sin48)/129

sinC = 0.9678

C = sin⁻¹(0.9678)

C = 75.42

∠C2=75.4°

and

∴∠C1 = 180° - 75.4°

∠C1 =104.6°

For ∠A

∠A1 = 180° - (104.6°+48°) [sum of angles in a triangle]

∠A1 = 27.4°

and

∠A2 = 180° - (75.4° + 48°)

∠A2 = 180° - (123.4°)

∠A2 = 56.6°

For side a

a1/sinA1 = b/sinB

a1/ sin27.4° = 129/sin48

a1 = (129×sin27.4°)/sin48

a1 = 79.8845

a1 = 79.9

and

a2/sinA2 = b / sinB

a2/ sin56.6° = 129/sin48

a2 = (129×sin56.6°)/sin48

a2 = 144.9184

a2 = 144.9

Hence,

∠A1 = 27.4°, ∠A2 = 56.6°, ∠C1 =104.6°, ∠C2=75.4°, a1 = 79.9 and a2 = 144.9

In a class of 40 statistics majors, each one constructs a 90% confidence interval for the unknown probability p of a weighted coin landing heads. About how many of the 40 intervals will capture the value of the unknown parameter p? About how many will miss it?

Answers

Answer:

36 intervals will capture the value of the unknown parameter p, and 4 will miss it.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b. x% of confidence intervals capture the unknown parameter.

About how many of the 40 intervals will capture the value of the unknown parameter p?

90% of them will capture, so:

0.9*40 = 36

0.1*40 = 4

36 intervals will capture the value of the unknown parameter p, and 4 will miss it.

If 64 > x^3, then the greatest possible integer value
of x is
(a) 1
(c) 3
(b) 2
(d) 4

Answers

Answer:

C

Step-by-step explanation:

64>x^3, plugging in x=3, we have 64>27 which is TRUE

A hospital director is told that 54% of the emergency room visitors are insured. The director wants to test the claim that the percentage of insured patients is under the expected percentage. A sample of 120 patients found that 60 were insured. Find the value of the test statistic. Round your answer to two decimal places.

Answers

Answer:

Z -0.879173965

Step-by-step explanation:

Z -0.879173965

ρ  0.5

π 0.54

n 120

The value of the test statistic is the z-score z = -0.88

What is a z-score?

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the test statistic value be represented as z

Now , the probability of emergency room visitors are insured is q = 0.54

The total number of patients n = 120

The number of patients that were insured = 60

So , the percentage of people that were insured p = 60/120 = 0.5

Now , test statistic value z = ( p - q ) / [ √ ( q ( 1 - q )/n² ]

The value of z score is

z = [ 0.5 - 0.54 ] / √ 0.54 ( 1 - 0.54 ) / 120²

On simplifying the equation , we get

The value of z score is z = -0.88

Hence , the test statistic is z = -0.88

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If k(x) = 5x - 6, which expression is equivalent to (k+ k)(4)?

Answers

Answer:

3h33j333jj3

Step-by-step explanation:b3n3n3nn3n33

solving systems by substitution

how would you you find the answer for
-5x + y = -2
-3x+6y=-12 ? having some issues with how to this​

Answers

9514 1404 393

Answer:

  (x, y) = (0, -2)

Step-by-step explanation:

When solving by substitution, you usually want to find an expression for one of the variables in terms of the other. So, the first thing you look for is an equation that has a coefficient of 1 or -1 on one of the variables. Recognizing that the second equation's terms all have a common factor of 3, you basically have two choices.

Substitute for y

Using equation 1, you can write an expression for y:

  y = 5x -2 . . . . . . add 5x to both sides

Then substituting this into the original equation 2, you have ...

  -3x +6(5x -2) = -12

  27x -12 = -12 . . . . . . . simplify

  27x = 0 . . . . . . . . . add 12

  x = 0 . . . . . . . . .  divide by 27

  y = 5(0) -2 = -2 . . . . find y using the expression for substitution

The solution is (x, y) = (0, -2).

__

Substitute for x

If you decide you'd rather substitute for x, you can solve the second equation easily for x.

  -3x +6y = -12

  x -2y = 4 . . . . . . divide by -3

  x = 2y +4 . . . . . . add 2y

Substituting for x in the first equation gives ...

  -5(2y +4) +y = -2 . . . . substitute for x

  -9y -20 = -2 . . . . . . . simplify

  -9y = 18 . . . . . . . . .  add 20

  y = -2 . . . . . . . . . . . divide by -9

  x = 2(-2) +4 = 0 . . . . find x using the expression for substitution

The solution is (x, y) = (0, -2).

_____

Additional comment

In some cases, there are no variables that have a coefficient of ±1, so you just need to "bite the bullet" and deal with the resulting fractions.

Example:

  solve for y: -5x +2y = -2

     2y = 5x -2

     y = 5/2x -1 . . . . expression used to substitute for y

Of course, you can multiply the equation after substitution by 2 to eliminate fractions, or just work the problem as is. The point of looking for coefficients of ±1 is to avoid having to do arithmetic with fractions. It can help avoid errors to work with integers, but ultimately the method is the same regardless of the form of the numbers.

__

You don't always have to substitute for the "bare" variable. Sometimes it can save steps to substitute for expressions instead of variables. If our system of equations were ...

-5x +2y = -2-3x +6y = -12

You can substitute into the second equation for (2y). In that case, the second equation becomes ...

  -3x +3(2y) = -12

  -3x +3(5x-2) = -12 . . . . . . where 2y = 5x -2

One number is 6 less than a second number.
Twice the second number is 9 less than 5 times
the first. Find the two numbers.

Answers

Answer:

-7

Step-by-step explanation:

x = y - 6

2x = 5y - 9

Use the internet for full steps

x = -7

y = -1

A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be represented by the quadratic equation
MO-167 +800+ 224, where t represents the time in seconds that the baseball has been in the air and represents the baseball's height in feet. When factored, this
equation is -16(-7)(t+ 2).
What is a reasonable time for it to take the baseball to land on the ground?
OA 2 seconds
ОВ
7 seconds
C. 5 seconds
D.
9 seconds

Answers

9514 1404 393

Answer:

  A.  7 seconds

Step-by-step explanation:

We assume your factored equation is something like ...

  h(t) = -16t(t -7)(t +2)

The time it takes the ball to reach the ground is the positive value of t that makes a factor zero:

  t -7 = 0   ⇒   t = 7

The ball will land on the ground in 7 seconds.

Which values of x are solutions to this equation? -1/2x^2 + 5x = 8
A) -2
B) 2
C) -8
D) -1.5
E) 11.5
F) 8

Answers

Answer:

2, 8

Step-by-step explanation:

-1/2x^2 + 5x = 8

-x^2 + 10x = 16 (Multiplying both sides of the equation by 2)

-x^2 + 10x  - 16 = 0

x^2 - 10x + 16 = 0 (changing the signs)

x^2 -2x -8x +16 = 0

x (x-2) -8 (x-2) = 0

(x-2) (x-8)

x-2 = 0

x = 2

or

x -8 = 0

x = 8

Answer from Gauthmath

The values of x are solutions to this equation that is 2, 8

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that the equation as;

-1/2x² + 5x = 8

-x² + 10x = 16

Now Multiplying both sides of the equation by 2;

-x² + 10x  - 16 = 0

Or

x² - 10x + 16 = 0

x² -2x -8x +16 = 0

x (x-2) -8 (x-2) = 0

(x-2) (x-8)

The solution are;

x-2 = 0

x = 2

or

x -8 = 0

x = 8

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Which is the
Simplified form
r-7+s-12

Answers

Answer:

r + s - 19

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

r - 7 + s - 12

Step 2: Simplify

Combine like terms [constants]:                                                                          r + s - 19

Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with diameter 50 m. (Round your answer to two decimal places.)

Answers

Answer:

2.75 m²  

Step-by-step explanation:

From the information given:

the thickness of the paint = 0.07 cm = (0.07/100) m

= 0.0007 m thick

the diameter hemispherical dome = 50 m

radius of the dome = 50m /2 = 25 m

The volume of a hemispherical dome is expressed as:

[tex]V = \dfrac{2}{3}\pi r^3[/tex]

Thus, the change in the volume now is:

[tex]\dfrac{dV}{dr} = \dfrac{2}{3}\pi *3 r^2[/tex]

[tex]{dV} = \dfrac{2}{3}\pi *3 r^2 (dr)[/tex]

[tex]{dV} = 2 \pi r^2 (dr)[/tex]

dV = 2π × (25)² (0.0007)

where;

dr = 0.0007

dV = 2π × (25)² (0.0007)

dV = 2.75 m²  

Determine the sum of the measures of the exterior angles of a convex hexagon (6-sided polygon).

A. 540
B. 720
C. 1,080
D. 360

Answers

9514 1404 393

Answer:

  (d)  360°

Step-by-step explanation:

The sum of exterior angles of any convex polygon is 360°.

If the area A of a triangle is 60 m- (square meters) and the base b is 20 m, what is the altitude h?​

Answers

Answer:

not sure

Step-by-step explanation:

a+B+C+=d

Will give Brainliest!
Find the period and amplitude of the function.
y = -4cos(4/3 x)
Give the exact values, not decimal approximations.

Answers

Answer:

y = d + a · cos(bx - c) ⇒ y = -4cos(4/3x)

a = -4b = 4/3c = 0d = 0

Amplitude = |a| = |-4| = 4

Period = [tex]\frac{2\pi }{b} =\frac{2\pi }{\frac{4}{3} } =2\pi *\frac{3}{4} =\frac{3}{2} \pi[/tex]

Other Questions
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