If 2x^2 + 3x + 3 = Kx - K has real roots, find the possible values of k.​

Answers

Answer 1

Answer:

Step-by-step explanation:

Dd


Related Questions

The probability that a 38-year-old white male will live another year is .99813. What premium would an insurance company charge to break even on a one-year $1 million term life insurance policy

Answers

Answer:

The insurance company should charge $1,873.5.

Step-by-step explanation:

Expected earnings:

1 - 0.99813 = 0.00187 probability of the company losing $1 million(if the client dies).

0.99813 probability of the company earning x(price of the insurance).

What premium would an insurance company charge to break even on a one-year $1 million term life insurance policy?

Break even means that the earnings are 0, so:

[tex]0.99813x - 0.00187(1000000) = 0[/tex]

[tex]0.99813x = 0.00187(1000000)[/tex]

[tex]x = \frac{0.00187(1000000)}{0.99813}[/tex]

[tex]x = 1873.5[/tex]

The insurance company should charge $1,873.5.

Which value of n makes the equation true?

-1/2n=-8

Answers

Answer:

16?

Step-by-step explanation:

I'm not sure. I hope so.

n=16.

-1/2n=-8
2(-1/2n)=-8(2)
-n=-16
divide by -1 and you get n=16 !

8) If 150% of a number is 75, then what is the 80% of that number?
A. 40
B. 50
C. 70
D. 85

Answers

Answer:

A. 40

Step-by-step explanation:

Answer:

A. 40

Step-by-step explanation:

75 ÷ 1.5 = 50 = original number

80% of 50 = 50 × 0.8 = 40

Plz do this, I’m so exhausted. Thxx

Answers

Answer:

12) B --> x < 8/3

13) B --> x ≤ 1/6

Step-by-step explanation:

12) Solving inequalities is just like solving normal equations where you and add, subtract, multiply and divide sides by the same value. Keep in mind dividing or multiplying by a negative flips the sign:

x - 10 < 6 - 5x

Add 5x to both sides to combine the x terms:

x - 10 < 6 - 5x

+5x          +5x

6x - 10 < 6

Add 10 to both sides to isolate the x term:

6x - 10 < 6

+10       +10

6x < 16

Now, divide by 6 on both sides:

x < 8/3, this is B

13) Simplify 2 - 4:

2-3(2x + 1) ≤ 6x(-2)

Distribute:

2 - 6x - 3 ≤ -12x

Add 12x to both sides and combine like terms:

6x - 1 ≤ 0

Add 1 to both sides:

6x ≤ 1

Divide by 6:

x ≤ 1/6, this is B

12. B


X- 10 < 6-5x


So I brought over the five x to be on the side where the x is and then I placed the others on the other side so…


5x + x < 6 + 10

6x < 16

Then I divided both sides by 6

We have two circles A and X. The radius and perimeter of the circle A are b and c respectively.
The radius and perimeter of the circle X are y and z respectively. Consider the following ratios
K=c/b and L=Z/y.
Which of the following statements is true? *
K>L
K K=L
K=2L

Answers

Answer:

[tex]K = L[/tex]

Step-by-step explanation:

Given

Circle A

[tex]r = b[/tex] --- radius

[tex]p = c[/tex] ---- perimeter

Circle B

[tex]r = y[/tex] --- radius

[tex]p =z[/tex] --- perimeter

[tex]K = \frac{c}{b}[/tex]

[tex]L = \frac{z}{y}[/tex]

Required

Select the true option

The perimeter of a circle is:

[tex]Perimeter = 2\pi r[/tex] ------ the circumference

So, we have:

[tex]c = 2\pi b[/tex] --- circle A

[tex]z = 2\pi y[/tex] --- circle B

Calculate K

[tex]K = \frac{c}{b}[/tex]

[tex]K = \frac{2\pi b}{b}[/tex]

[tex]K = 2\pi[/tex]

Calculate L

[tex]L = \frac{z}{y}[/tex]

[tex]L = \frac{2\pi y}{y}[/tex]

[tex]L = 2\pi[/tex]

So, we have:

[tex]K = L = 2\pi[/tex]

Jack and Diane are jogging back and forth along a one-mile path. They started out at 9:00 A.M. from opposite ends of the path. They passed each other in 10 minutes when Diane has gone 1/3 mile. What time will they first meet at one end of the path? You have to assume they keep jogging at the same speeds.
Explain :

Answers

Answer:

30 minutes

Step-by-step explanation:

that problem description is imprecise.

I think what is meant here : they each keep jogging at their own same speed.

Diane's speed is 1/3 miles / 10 min.

Jack's speed is 2/3 miles / 10 min.

now, to bring this to regular miles/hour format, we need to find the factor between 10 minutes and an hour (60 minutes) and multiply numerator and denominator (top and bottom of the ratio) by it.

60/10 = 6.

so, we need to multiply both speeds up there by 6/6 to get the miles/hour speeds.

Diane : (1/3 × 6) / hour = 2 miles / hour

Jack : (2/3 × 6) / hour = 4 miles / hour

since Jack is running twice as fast as Diane, she will finish one length in the same time he finishes a round trip (back and forth).

Diane running 1 mile going 2 miles/hour takes her 30 minutes.

Jack running 2 miles (back and forth) going 4 miles/hour will take him also 30 minutes.

so, they will meet at his starting point after 30 minutes.

What value of b will cause the system to have an infinite number of solutions?

V = 6x + b
-3 x + 1/2 V = -3

Answers

Answer:

-6

Step-by-step explanation:

V = 6x + b

 1/2 V -3 x = -3

V - 6x = -6

V - 6x  =  b

Which is a stretch of an exponential decay function?
f(x) =4/5(5/4)
f(x) = 4/5(4/5)
f(x) =5/4(4/5)
fx) = 5/4(5/4)

Answers

Answer:

f(x) = 4/5(5/4)

Step-by-step explanation:

correct me if I am wrong


A polynomial function has a root of -6 with multiplicity 1, a root of -2 with multiplicity 3, a root of 0 with multiplicity 2, and a
root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about
the graph is true?
O The graph of the function is positive on (-6, -2).
O The graph of the function is negative on (-0, 0).
O The graph of the function is positive on (-2, 4).
O The graph of the function is negative on (4.co).

Answers

9514 1404 393

Answer:

  (a)  the graph is positive on (-6, -2)

Step-by-step explanation:

The roots, left to right, are ...

  -6, -2, 0, 4

The odd-multiplicity roots, where the sign changes, are ...

  -6, -2, 4

The function is negative to the left of -6, and positive to the right of +4. It is positive on the interval (-6, -2) and negative on the intervals (-2, 0) and (0, 4).

Answer:it’s a!!!
edge please stop deleted my answer ;)

Step-by-step explanation:

A printing machine 600 books in 3 hours. How many books will the machine print in 5​

Answers

Answer:

1, 000 hrs

Step-by-step explanation:

The machine prints,

in 3 hrs = 600 books

in 1 hr = 600/ 3 hrs = 200 hrs.

in 5 hrs = 200 × 5

= 1, 000 hrs

The printing machine will print 1000 books in 5 hours.

Let's calculate how many books the printing machine will print in 5 hours based on the given information.

To do this, we'll use the concept of rates and proportions.

Given that the printing machine can print 600 books in 3 hours, we can set up a rate equation as follows:

Rate of printing = Number of books / Time taken

Let "x" be the number of books the machine will print in 5 hours. We can set up the proportion:

600 books / 3 hours = x books / 5 hours

To solve for "x," we cross-multiply:

3 * x = 600 * 5

Now, let's solve for "x":

3x = 3000

x = 3000 / 3

x = 1000

So, the printing machine will print 1000 books in 5 hours.

Given: Printing machine prints 600 books in 3 hours.

Let the number of books the machine will print in 5 hours be "x."

Using the rate formula, we can set up the proportion:

600 books / 3 hours = x books / 5 hours

Cross-multiplying:

3 * x = 600 * 5

Solving for "x":

3x = 3000

x = 3000 / 3

x = 1000

Hence, the printing machine will print 1000 books in 5 hours.

To know more about Equation here

https://brainly.com/question/28878795

#SPJ2

Which statement about the net is true?












The net can be folded to form a pyramid because at least one of the faces is a triangle.
The net can be folded to form a pyramid because more than one of the faces is a triangle.
The net cannot be folded to form a pyramid because one of the faces is a rectangle.
The net cannot be folded to form a pyramid because the faces that are not a base are not all triangles.

Answers

The net cannot be folded to form a pyramid because the faces that are not a base are not all triangles

If you fold this net up, you will get a triangular prism, NOT A PYRAMID.

A pyramid can have ANY polygon as its base, as long as all the other rest of the shapes are triangles.

Depending on the base, the number of triangles in a net of a pyramid must match the number of sides its particular base has.

For example, if you have a square pyramid turned into a net:
The base is a square (4 sides)
There should be 4 triangles on each side.

Because a pyramid is where all the triangles must meet up at a point.

Hope this helps!

Answer:

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

What complex number is represented by the expression 7i^5+9i^8

Answers

Answer:

[tex]9 + 7i[/tex]

Step-by-step explanation:

[tex]7i^5+9i^8[/tex]

[tex]i^5 = i\\ i^8 = 1[/tex]

Josephine left home traveling at 25 mph. One hour later her friend, Steve, leaves from the same place and travels the same road traveling at 50 mph. How many hours will it take Steve to catch up to Josephine?

Answers

Answer:

1 hour

Step-by-step explanation:

J = 50 mph by 2 hours

S = 50 mph by 1 hour

2-1 = 1

remove bracket and simplify 6x-(3x+2)​

Answers

Answer: 3x - 2

Step-by-step explanation:

First to solve this, we need to know some basic information such as:

1. (-) × (-) = +

2. (+) × (-) = -

3. (+) × (+) = +

Therefore, 6x-(3x+2)​

= 6x - 3x - 2

= 3x - 2

The answer to the question after removing the bracket will be 3x - 2.

Multiply the polynomials 3(x+7) (show work pls)

Answers

Answer:

3x + 21

Step-by-step explanation:

(3)(x+7)

Now, we distribute the 3 in each term of (x+7)

So, 3*x = 3x and 3*7 = 21.

So our resulting term would be 3x+21.

$66.25 divided among 4 people

Answers

the actual answer would be $16.5625 but you can just say $16.5

Please explain :)

Expand 5x(x+2)

Thanks :)

Answers

Answer:

[tex] {5 x }^{2} +10x[/tex]

Step-by-step explanation:

[tex]5x(x+2)[/tex]

[tex]5x \times x+5x \times 2[/tex]

[tex]5(x \times x)+5x \times 2[/tex]

[tex]5 {x}^{2} +5x \times 2[/tex]

[tex]5 {x}^{2} + 10x[/tex]

Hope it is helpful....

A random sample of 35 employees of the local green technologies plant Greenies, who completed two years of college, were asked to take a basic mathematics test. The mean and standard deviation of their scores were 75.1 and 12.8, respectively. In a random sample of 50 employees who had only completed high school, the mean and standard deviation of the test scores were 72.1 and 14.6, respectively. Assuming equal variance between the two populations, can we infer at the .10 level of significance that students who completed two years of college had a higher average than students who had only completed high school

Answers

Answer:

There is no significance evidence that students who completed two years of college had a higher average than students who had only completed high school.

Step-by-step explanation:

The hypothesis :

H0 : μ1 = μ2

H1 : μ1 > μ2

Given :

n1 = 35 ; x1 = 75.1 ; s1 = 12.8

n2 = 50 ; x2 = 72.1 ; s2 = 14.6

Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)

df1 = n1 - 1 = 35 - 1 = 34

df2 = n2 - 1 = 50 - 1 = 49

(x1 - x2) ÷ Sp(√(1/n1 + 1/n2))

Sp² = (34*12.8^2 + 49*14.6^2) / (35+50-2)

Sp² = (5570.56 + 10444.84) / 83

Sp² = 192.95662

Sp = √192.95662

Sp = 13.89

Test statistic = (75.1 - 72.1) / 13.89 * √(1/35 + 1/50)

Test statistic = 3 / (13.89 * 0.2203892)

Test statistic = 0.980

df = n1 + n2 - 2

df = 35 + 50 - 2 = 83

Using the Pvalue calculator :

Pvalue(0.980, 83) = 0.165

α = 0.1

Pvalue > α ; We fail to reject the H0; and conclude that there is no significance evidence that students who completed two years of college had a higher average than students who had only completed high school.

Find the solution set.

The solution set for 5v2 – 125 = 0

Answers

V=25/2
You multiply the number first (5•2=10)
10v-125=0
Then add 125 to both sides
10v-125+125=0+125
Simply it then divide
10v=125, 10v/10= 125/10
Lastly simply it
V=25/2
Answer will be V=25/2

(a) Starting with the geometric series [infinity] xn n = 0 , find the sum of the series [infinity] nxn − 1 n = 1 , |x| < 1.

Answers

Let f(x) be the sum of the geometric series,

[tex]f(x)=\displaystyle\frac1{1-x} = \sum_{n=0}^\infty x^n[/tex]

for |x| < 1. Then taking the derivative gives the desired sum,

[tex]f'(x)=\displaystyle\boxed{\dfrac1{(1-x)^2}} = \sum_{n=0}^\infty nx^{n-1} = \sum_{n=1}^\infty nx^{n-1}[/tex]

Which value is in the domain of f(x)?
f(x) =
2x+5, |-6 < xso
- 2x + 3, 0 < x 34
N
-7
-6
5

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

The function definition tells you its domain is ...

  -6 < x ≤ 4

Values -7, -6, and 5 are not in this domain.

Of the listed values, only 4 is in the domain.

The Statistical Abstract of the United States published by the U.S. Census Bureau reports that the average annual consumption of fresh fruit per person is 99.9 pounds. The standard deviation of fresh fruit consumption is about 30 pounds. Suppose a researcher took a random sample of 38 people and had them keep a record of the fresh fruit they ate for one year.
Appendix A Statistical Tables
(Round all z values to 2 decimal places. Round your answers to 4 decimal places.)
a. What is the probability that the sample average would be less than 90 pounds?
p =
b. What is the probability that the sample average would be between 98 and 105 pounds?
p =
c. What is the probability that the sample average would be less than 112 pounds?
p =
d. What is the probability that the sample average would be between 93 and 96 pounds?
p =

Answers

Answer:

Hence,

a) The probability that the sample average would be less than 90 pounds is 0.0210.

b) The probability that the sample average would be between 98 and 105 pounds is 0.5045.

c) The probability that the sample average would be less than 112 pounds is 0.9935.

d) The probability that the sample average would be between 93 and 96 pounds is 0.1341.

Step-by-step explanation:

a) [tex]P(X < 90) = P(Z < (90 - 99.9) / (30\sqrt(38)))[/tex]

                     = P(Z < -2.03) = 0.0210

b )[tex]P(98 < x <105) = P((98 -99.9) / (30 \sqrt(38)) < Z < (105 -99.9) / (30 \sqrt(38)))[/tex]

                              = P(-0.39 < Z < 1.05) = 0.5045

c ) [tex]P(X < 112) = P(Z < (112 - 99.9) / (30\sqrt(38)))[/tex]

                        = P(Z < 2.49) = 0.9935

d )[tex]P(93 < x < 96) = P((93 -99.9) / (30 \sqrt(38)) < Z < (96 -99.9) / (30 \sqrt(38)))[/tex]

                            = P( -1.42 < Z < -0.8 )

                            = 0.2119 - 0.0778 = 0.1341

In a random sample of students at a university, stated that they were nonsmokers. Based on this sample, compute a confidence interval for the proportion of all students at the university who are nonsmokers. Then find the lower limit and upper limit of the confidence interval.

Answers

Answer:

(0.8165 ; 0.8819)

Lower boundary = 0.8165

Upper boundary = 0.8819

Step-by-step explanation:

Given :

Sample proportion. Phat = x/ n = 276/ 325 = 0.8492

Confidence interval :

Phat ± margin of error

Margin of Error = Zα/2* [√Phat(1 - Phat) / n]

Phat ± Zα/2* [√Phat(1 - Phat) / n]

The 90% Z critical value is = 1.645

0.8492 ± 1.645*[√0.8492(1 - 0.8492) / 325)

0.8492 ± 1.645*[√0.8492(0.1508) / 325]

0.8492 ± 1.645*√0.0003940288

0.8492 ± 0.0326535

Lower boundary = 0.8492 - 0.0326535 = 0.8165

Upper boundary = 0.8492 + 0.0326535 = 0.8819

Confidence interval = (0.8165 ; 0.8819)

Simplify the expression

Answers

I think the answer is 1/m^18

The factorization of (x+y)^2+2(x+y)+1 is

please answer​

Answers

Answer:

[tex](x + y+ 1)^2[/tex]

Step-by-step explanation:

[tex]Using : (a + b)^2 = a^2 + 2ab + b^2\\\\(x+ y)^2 + 2(x +y) + 1 , \ where \ a = (x+y) , \ b = 1 \\\\= (x +y)^2 + ( 2 \times 1 \times (x+y)) + 1^2\\\\= (x +y+ 1)^2[/tex]

Step-by-step explanation:

Using:(a+b) ² =a²+2ab+b²

Hope it is helpful to you

Round 948070 to the nearest hundred? Hurry please

Answers

Answer:

9.48

Step-by-step explanation:

he parent function f(x) = x3 is represented by graph A. Graph A is transformed to get graph B and graph C. Write the functions represented by graph B and graph C.

Graph B represents the function g(x) =
.

Graph C represents the function h(x) =
.

Answers

Graph b and


Answer is graph b I believe


Graph b

Laura lives 15 miles east of Kevin’s place. Kevin lives 8 miles south of Michelle’s place. How far does Michelle live from Laura’s place?
17 miles
24 miles
32 miles
36 miles

Answers

Answer:

17 miles.

Step-by-step explanation:

Let's define:

North as the positive y-axis

East as the positive x-axis.

We know that Laura lives 15 miles east of Kevin's place.

Kevin lives 8 miles south of Michelle's place.

So, if we define the origin, (0, 0) as Laura's place.

From:

"that Laura lives 15 miles east of Kevin's place."

We have that the location of Kevin's house is 15 miles west from Laura's place, then Kevin's house is at:

(0, 0) + (-15mi, 0) = (-15mi, 0)

From Kevin lives 8 miles south of Michelle's place, we know that Michelle's live 8 miles north of Kevin's place.

Then the location of Michele's house is the location of Kevin's plus (0, 8mi).

Michelle's house is located at:

(-15mi, 0) + (0, 8mi)  =(-15mi, 8mi)

Now we want to find the distance between Michelle's house and Laura's house.

Michelle's house is at (-15mi, 8mi)

Laura's house is at (0mi, 0mi)

Remember that the distance between two points (a, b) and (c, d) is given by:

[tex]D = \sqrt{(a - c)^2 + (b - d)^2}[/tex]

Then the distance between  (-15mi, 8mi) and (0mi, 0mi) is:

[tex]D = \sqrt{(-15mi - 0mi)^2 + (8mi - 0mi)^2} = 17mi[/tex]

The correct option is the first one, 17 miles.

Find the domain and range of the relation: {(–20, 11), (6, –8), (1, –20), (–13, 13)}

Answers

Answer:

D: {-20, -13, 1, 6}

R: {-20, -8, 11, 13}

Step-by-step explanation:

Given the relation, {(–20, 11), (6, –8), (1, –20), (–13, 13)}, all x-values (inputs) make up the domain of the relation while all y-values make up the range of the relation.

Therefore:

Domain: {-20, -13, 1, 6}

Range: {-20, -8, 11, 13}

Pls someone help these answers are on chegg so if u have a subscription pls answer these ill make u brainliest ! Below is a table representing data, measuring the percentage of various
groups owning a home
Percentage owning a
home
1st Generation
Hispanic Americans
N=899
43
50
2nd Generation
Hispanic Americans
N=351
1st Generation Asian
Americans N=2,684
2nd Generation Asian
Americans N=566
58
51
Test whether there is a significant difference in the proportion of
homeowners between 1st and 2nd generation Hispanic Americans. Set alpha at .05
The obtained Z test is ?
The probability of obtaining
this Z-test statistic is ?
This is _? Than our alpha level. Therefore we ___? The null hypothesis and conclude that there ____? A significant difference in the proportion of homeowners between 1 st generation and 2nd generation hispanic americans.

Answers

The table is not clear, so i have attached it.

Answer:

z statistic is -2.26

This is less than our alpha level,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans

Step-by-step explanation:

From the attached table, we can see that;

first-generation hispanic americans; (N = 899 and percentage = 43%

second-generation hispanic americans; N = 351 and percentage = 50%

first-generation asian americans; (N = 2,684 and percentage = 58%

second-generation asian americans; N = 566 and percentage = 51%

Z-score formula in this case is;

z = (p1^ - p2^)/(√(p^(1 - p^)((1/n1) + (1/n2))

Where;

p^ = (p1 + p2)/(n1 + n2)

For, hispanic americans we have;

p1^ = 0.43 × 899 = 386.57

p2^ = 0.5 × 351 = 175.5

p^ = (386.57 + 175.5)/(899 + 351)

p^ = 0.45

Thus;

z = (0.43 - 0.5)/(√(0.45(1 - 0.45)((1/899) + (1/351))

z = -2.26

From z-distribution table, we have;

P-value = 0.01191

Since we have 2 samples, then probability = 2 × 0.01191 = 0.02382

This is less than our alpha level of 0.05,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans.

Other Questions
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For each unwanted result, choose the most plausible explanation to help the company improve the formula.(1pts)The color of the drink is too pale after adding the dye to the drink becauseChoose...too much dye was added to the drink.the water in the drink is evaporating.not enough dye was added to the drink.the wrong dye was added to the drink.(1pts)The color of the dye is appearing as red, instead of green becauseChoose...too much dye was added to the drink.the water in the drink is evaporating.not enough dye was added to the drink.the wrong dye was added to the drink.(1pts)The drink started out the correct color but it is getting darker over time, even though nothing has been added to the drink, becauseChoose...too much dye was added to the drink.the water in the drink is evaporating.not enough dye was added to the drink.the wrong dye was added to the drink.(1pts)2. 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Describe how you could use the Beer's Law simulation to experimentally determine the best wavelength at which to perform an experiment.Measure the absorbance for solutions of multiple different solutes and find the minimum absorbance.Measure the absorbance for solutions with different concentrations and find the slope of the trendline.Measure the absorbance for the same solution at different wavelengths and find the maximum absorbance.Measure the absorbance for the same solution in different cuvette sizes and find the y-intercept. Let us go, through certain half-deserted streets, The muttering retreats Of restless nights in one-night cheap hotels And sawdust restaurants with oyster-shells: How is this excerpt an example of dramatic monologue The importance of soil in the development of rural settlements ?? A firm that purchases a commercial-off-the-shelf (COTS) information system benefits by getting a standardized system without having to absorb development costs, but risks getting a system that does not align with the firm's businesses processes and existing technologies.a. Trueb. False pahelp po ako.1. Which of the following terms refers to energy in motion?A. kinetic energy C. potential energyB. light energy D. thermal energy2. Which of the following is a type of energy gained due to its position?A. kinetic energy C. gravitational potential energyB. light energy D. thermal energy3. How do you get the total mechanical energy of an object in a closed system?A. Get the sum of the initial and final kinetic energy.B. Get the sum of the initial and final potential energy.C. Get the sum of the kinetic energy and the potential energy.D. Get the difference between the kinetic energy and the potential energy.4. Which of the following is the best set up to observe the conservation of mechanical energy?A. A cart rolling down a wooden ramp.B. A wooden block falling in a vacuum.C. A volleyball falling from a tall building.D. a paper plane being launched from a tower.5. A big rock was dropped from the third floor of a building. What happens to the kinetic energy of the ball as it falls?A. The rocks kinetic energy increases.B. The rocks kinetic energy decreases.C. The rocks kinetic energy remains the same.D. The rocks kinetic energy cannot be identified.6. A heavy metallic ball was rolled up on a frictionless ramp. What happens to the gravitational potential energy of the ball as it rolls up the ramp?A. The balls gravitational potential energy increases.B. The balls gravitational potential energy decreases.C. The balls gravitational potential energy remains the same.D. The balls gravitational potential energy cannot be identified.7. A 2kg ball is elevated up a building, how much is its potential energy 10m from the ground?A. 5J C. 98JB. 20J D. 196JFor items 8 to 10, refer to the illustration below. A ball is dropped at point W and travels along a frictionless path to reach point Z.8. At which point does the ball has greatest gravitational potential energy?A. W C. YB. X D. Z9. At which point does the ball has greatest kinetic energy?A. W C. YB. X D. Z10. What happens to the total mechanical energy of the ball as it travels from point W to point Z?A. The total mechanical energy increases.B. The total mechanical energy decreases.C. The total mechanical energy remains the same.D. The total mechanical energy cannot be determined.For items 11 to 12, refer to the illustration below. A pendulum swings back and forth from its highest position to its lowest position and vice versa.11. As a pendulum swings from its highest to lowest position, what happens to its gravitational potential energy and kinetic energy?A. Both its GPE and KE increases.B. Both its GPE and KE decreases.C. Its GPE decreases but KE increases.D. Its GPE increases but KE decreases.12. What happens to the total mechanical energy of the bob as it swings back and forth if only force acting on it is the gravitational force?A. The total mechanical energy increases.B. The total mechanical energy decreases.C. The total mechanical energy remains the same.D. The total mechanical energy cannot be determined.Four ball of masses 0.5 kg, 1 kg, 2 kg, and 5 kg were dropped simultaneously on top of a building with the height of 20 m. Ignoring the air resistance, the four balls reach the ground at the same time.13. Which of the following balls has the greatest gravitational potential energy on top of the building?A. The ball with the mass of 5 kg.B. The ball with the mass of 2 kg.C. The ball with the mass of 0.5 kg.D. All the balls have the same potential energy.14. Which of the following balls has the least kinetic energy on top of the building?A. The ball with the mass of 5kg.B. The ball with the mass of 1kg.C. The ball with the mass of 0.5kg.D. All the balls have the same kinetic energy.15. Which of the following balls has the greatest total mechanical energy?A. The ball with the mass of 2kg.B. The ball with the mass of 1kg.C. The ball with the mass of 0.5kg.D. All the balls have the same total mechanical energy Tonya wants to estimate what proportion of the students in her dormitory like the dorm food. She interviews a simple random sample of 50 students living in the dormitory. She finds that 14 think the dorm food is good. Find a 90% confidence interval for the true proportion of students that think the dorm food is good.a. 0.176 to 0.384b. 28%c. 0.28 +/- 0.03d. 0.156 to 0.404 Extrae los 11 adjetivos calificativos presentes en el siguiente texto en un pais nuevo vivio un campesino orgulloso que tenia tres hijos jesus jose y enrique jesus era gordo de cara colorada y de pesimos modales jose era de cabeza grande ojos chicos y caracter dificil enrique tenia rostro delgado nariz aguilea y voz gruesa porfa es para hoy gran recompesa al que la responda NO LINKS OR ANSWERING WHAT YOU DON'T KNOW!!!!!7. Suppose y varies inversely with x, and y = 39 when x = 1/3. What is the value of y when x = 26. a. 3 b. 2 c. 1/2 d. 138. Suppose y varies inversely with x, and y = 25 when x = -1/5. What inverse variation equation relates x and y? a. y = 5/x b. y = -5/x c. y = 5x d. y= -5x True or False- The thermosphere contains no water vapor. What is the following product? Assume x>0 and y>0 v5x^8y^2v10^3v12y 9 . . . please help it's urgent Although many steps have already been taken, the restructuring is ________ considered to be in its early phases.Select one:A. stillB. alreadyC. yetD. rarely Autobiographies, memoirs, diaries, editorials, and reviews are all examples of writing by authors whose purpose is to: A. express personal thoughts B. entertain C. persuade D. explain something If a stimulus to a neuron is great enough, ________ is reached and an action potential is generated. Llewelyn Company purchased 1,000 shares of its own $10 par value common stock when the market price of the stock was $36 per share. What journal entries would be used to record the purchase of treasury stock? What is the answer for this question One student made the incomplete diagram shown below to represent the relationship between magma igneous rocks and metamorphic rocks.Which of these is the correct next step to complete the diagram?A. Put an arrow labeled cools and crystallizes pointing from igneous rocks to metamorphic rocksB. Put an arrow labeled cools and crystallizes pointing for metamorphic rocks to igneous rocksC. Put an arrow labeled heat and pressure points in from igneous rocks to metamorphic rocksD. Put an arrow labeled heat and pressure pointing from metamorphic rocks to igneous rocks The Senate has 100 members; the House of Representatives has 435 members.What sentence type is this?ComplexO Compound-complexCompoundO SimpleHELP ME PLS The volume, V, of a sphere in terms of its radius, r, is given by , V(r)=4/3(pie)r^3. Express r as a function of V, and find the radius of a sphere with volume of 150 cubic feet. Round your answer for the radius to two decimal places.r(V)=A sphere with volume 150 cubic feet has radius_________ feet.