A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent?

Answers

Answer 1

Answer:

The Axis of symmetry shows the highest point on the line and is a vertical line at the highest point on the graph x=1.5, y=36

Step-by-step explanation:

checked on a graphing calculator

Answer 2

Answer:

t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Step-by-step explanation:


Related Questions

Write an inequality to model the situation.
The temperature must be kept below 32 degrees.

Answers

Answer:

x<32

Step-by-step explanation:

Answer:

t > 32

Step-by-step explanation:

You have bumped into the car in front of you. You are injured in the collision, resulting in $2,500 in medical expenses. Your policy provides only liability insurance, with a limit of $25,000, and your deductible is $500. How much will your insurance company pay toward these medical expenses?
a) $0
b) $500
c) $2,000
d) $2,500

Answers

Answer: $2,000

Step-by-step explanation:

Your insurance companies limit is 25,000. You only need 2,500 but there is a deductible. You will get 2k

Irrational numbers (picture provided)

Answers

Answer:

C would be irrational.

Step-by-step explanation:

Irrational means that you cannot make a distinct ratio with the number. One of the more famous irrational numbers are π. You cannot make π into a fraction with whole numbers for a numerator and denominator.

Other examples of irrational numbers are square roots that are not perfect square roots. C is not a perfect square so it is irrational.

Which of the following represents the reflexive property of length? Question 6 options: A) m∠A = m∠A B) If AB = CD, then CD = AB C) x° = x° D) AB = AB

Answers

Answer:

D) AB = AB  

Step-by-step explanation:

The reflexive property states that a value is equal to itself: x = x.

The reflexive property of length states that a length is equal to itself:

AB = AB

A) and C) are wrong. They represent the reflexive property of angles.

B) is wrong. It represents the symmetric property of length.

Answer:

D

Step-by-step explanation:

Wich equation represents a linear function

Answers

Answer:yeah ❤️

Step-by-step explanation:

te tree♾

Answer:

y=x-3

or the 3rd option.

how would i graph this on a corrdinate plane you can just tell me the corridante

Answers

It’s kind of hard to explain so I drew it out.

solve for x. Will mark the brainliest.

Answers

Answer:

x=10 degrees

Step-by-step explanation:

11x+14=46+(8x-2)

11x+14=46+8x-2

3x+14=44

3x=30

x=10

Answer:

x=10

Step-by-step explanation:

180-(11x+14)=intern angle

166-11x=intern angle

166-11x+8x-2+46=180

-3x+210=180

180-210=-3x

-30=-3x

-30/-3=x

10=x

The circumference of a circular painting is 59.66 feet. What is the radius of the painting? Use 3.14 for π and do not round your answer.​

Answers

Answer:

9.5 feet

Step-by-step explanation:

So let's review the equations we need to know.

Circumference= π x d or π x 2r

Since we are solving for r, let's stick with the 2nd one.

Next, plug in the values.

59.66=3.14 x 2r

simplify.

59.66=6.28r

9.5=r

done!

the radius is 9.5 feet!

2 Points
In the diagram below, DE is parallel to 7. What is the value of x?
2
119
F
X
y
O A. 115
B. 85
C. 65
D. 105
O

Answers

Answer:

C

Step-by-step explanation:

The angle adjacent to x on XY = 115° ( corresponding angle )

This angle and x are adjacent and supplementary , thus

x = 180 - 115 = 65 → C

Answer:

65⁰

Step-by-step explanation:

x + 115⁰ = 180⁰ (co exterior)

x = 180 - 115 = 65⁰


A triangle has sides of lengths 4, 3, and 5. Is it a right triangle Explain.​

Answers

Hey!!!

It is a right angle.

The answer is yes; 4^2+3^2=5^2 [option D]

please see the attached picture for full solution

Hope it helps

Very large or very small numbers are best input with exponential notation. For instance, the number 8,000,000 (eight million) is equal to 8×106 . In this course, you can enter that as either 8 * 10 ^ 6 or as 8e6 in these problems. Try out exponential notation in the question below.

One light year is equal to 9,460,730,472,580.8 kilometers. Enter this number below in exponential notation. The tolerance on this question is 5%.

________km

Answers

Answer:

[tex]9*10^{12}km[/tex]

Step-by-step explanation:

[tex]9,460,730,472,580.8 km[/tex]

First, we can work out 5% of our number, by multiplying it by 0.05

[tex]9,460,730,472,580.8 * 0.05 = 473,036,523,629[/tex]

Now, if we add and subtract our 5% calculated from our original number, we can work out the minimum and maximum value that our final answer can be in the range of.

[tex]9,460,730,472,580.8 + 473,036,523,629 = 9.933767*10^{12}\\9,460,730,472,580.8 - 473,036,523,629 =8.98769395*10^{12}[/tex]

We can see that [tex]9*10^{12}[/tex] is in the range of valid answers, as:

[tex]8.9*10^{12} \leq 9*10^{12} \leq 9.9 * 10^{12}[/tex]

So, our final answer is:

[tex]9*10^{12}km[/tex]

* ANSWER PLS * What are two types of angle measurements? a.) metrics and radians b.) radians and metrics c.) degrees and metrics d.) degrees and radians

Answers

Answer:

D.

Step-by-step explanation:

The two types of angle measurements are:

1) Degrees ( ° )

2) Radians ( r)

Which graph shows the solution to the system of linear inequalities below?

Answers

Answer:

B

Step-by-step explanation:

The red line is y = 2x + 3 and the blue line is y = -2x - 4. The solution will be shaded on the left side of the red line and below the blue line which is Graph B.

Answer:

B

Step-by-step explanation:

Check the inequalities

Identify the graph and describe the solution set of this system of inequalities.
y> fx+5

Answers

Answer:

What does the graph look like

Step-by-step explanation:

The inequality given is y> fx+5, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.

What is inequalities?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values aren't equal. But several inequalities are utilised to compare the numbers, whether they're less than or higher than.

The different inequality representations, properties, and methods for resolving linear inequalities throughout one variable or two variables will all be covered in this article along with examples. The inequality given is y> fx+5, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.

Therefore, the inequalities have no solution since their graph does not intersect or overlap.

To know more about inequalities, here:

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HURRY, THIS IS TIMED!!!

Six students are working to simplify the expression shown.
Drag each student's answer to a box to show whether it is fully simplified, equivalent to the given expression but not fully simplified, or not equivalent to the given expression.

4y - 8x² - 5 + 14x² + y - 1

1. 3y + 6x² + 6

2. 3y + 6x² - 5 - 1

3. 5y + 6x² - 6

4. 5y - 6x² - 5 - 1

5. 5y - 8x² - 6 + 14x²

6. 4y + 6x² - 6 + y

Answers

Answer:

Step-by-step explanation:

1. not equivalent

2. not equivalent

3. fully simplified

4.not fully simplified

5. not fully simplified

6. not fully simplified

2 Points
In the diagram below, DE is parallel to ty. What is the value of y?
D
100"

.
O A. 60
B. 100
C. 120
D. 80

Answers

Answer:

80 degrees

Step-by-step explanation:

Co-interior angles

The measure of y is 80 degree.

Option D is correct.

What are Parallel line?

The basic qualities listed below make it simple to identify parallel lines.

Parallel lines are defined as straight lines that are always the same distance apart.Parallel lines, no matter how far they are extended in either direction, never intersect.

As, from the property of parallel line we have

corresponding Angle are equalAlternate interior angle are equalCo interior angles are supplementary.

As, DE || XY then

y+ 100 = 180 ( Angles on same side of transversal)

y= 180- 100

y= 80 degree

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d to master them
A chameleon is looking for prey. Let positive numbers represent the elevation of prey above the chameleon and
negative numbers represent the elevation of prey below the chameleon
The chameleon spots a fly and a grasshopper.
What does an elevation of 0 m represent in this situation?
Choose 1 answer
The elevation of the fly
The elevation of the chameleon

Answers

The answer to this question is a

What is the solution to this equation?
-13x=78
O A. x= 6
B. X= -5
O c. x= -6
O D. x= 5
Plzzz help mee

Answers

Answer:

x = -6

Step-by-step explanation:

-13x=78

Divide each side by -13

-13x/-13 = 78/-13

x =-6

Answer:

x = -6

Step-by-step explanation:

-13x = 78

x = 78/-13

x = -6

1. Focus is at (0,7) and the Directrix is y = 1.
a) Sketch the parabola.
b) What are the coordinates of the vertex?

Answers

Answer:

a) see the attached file

b) Coordinates of vertex = (0, 4)

Step-by-step explanation:

Given:

Focus of parabola is [tex](0,7)[/tex] and the directrix is [tex]y=1[/tex]

To sketch: the parabola

To find: coordinates of the vertex

Solution:

As the focus lies on the y-axis and y-coordinate of the focus is positive,

equation of parabola is [tex](x-h)^2=4p(y-k)[/tex]

Here, [tex](h,k)[/tex] denotes the vertex of parabola, focus is [tex](h,k+p)[/tex] and the directrix is [tex]y=k-p[/tex]

According to question,

[tex](h,k+p)=(0,7)[/tex]

[tex]k-p=1[/tex]

So, [tex]h=0[/tex]

[tex]k+p=7\,,\,k-p=1[/tex]

On adding these equations,

[tex]k+p+k-p=7+1\\2k=8\\k=4[/tex]

Put [tex]k=4[/tex] in [tex]k+p=7[/tex]

[tex]4+p=7\\p=7-4\\p=3[/tex]

So, equation of parabola is [tex](x-0)^2=4(3)(y-4)\Rightarrow x^2=12(y-4)[/tex]

For part a), see the attached file.

b)

Coordinates of vertex = [tex](h,k)=(0,4)[/tex]

64x​^2-81 what’s the answer ?

Answers

Answer:

(8x-9)(8x+9)

Step-by-step explanation:

64x^2 - 81

Rewriting

(8x)^2 - 9^2

We recognize that this is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(8x-9)(8x+9)

Answer:

(8x+9)(8x-9)

Step-by-step explanation:

64x^2= 8x*8x

-81= 9*-9

2. If you’re good at geometry could somebody please help me?

Answers

Answer:

See the explanation.

Step-by-step explanation:

The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse (diagonal, longest side) of the triangle.

We can see that the legs are labeled 15 (blue) and 8 (red). Substitute that into the equation.

(8)^2 + (15) ^2 = c^2

From there, we can simplify and solve for c.

64 + 225 = c^2. Add.

289 = c^2. Take the square root.

c = 17.

I hope this helps!

Answer: 17

Pro tip: 3/4/5, 5/12/13 and 8/15/17 are the first three Pythagorean Triples on the list and teachers like to use them for problems.  The multiples also come up, like 6/8/10.  Learn these and save yourself some calculation down the road.

Let's do it like they want

a² + b² = c²

8² + 15² = c²

64 + 225  = c²

289 = c²

√289 = √c²

17 = c

Plz help! Big points!
A certain brand soda can has a diameter of 2 inches and a height of 5 inches. The garbage can in the lunchroom has a diameter of 24 inches and a height of 42 inches. If you poured a bunch of soda into the garbage, how many soda cans would it take to fill the garbage can to the top? Round your answer to the nearest whole can.

Answers

Answer:

1209

Step-by-step explanation:

v= pi* r^2* h         r= d/2

soda:

d = 2    r = 1

h = 5

grabage:

d = 24   r = 12

h = 42

volume G: 19000.35

volume S: 15.71

volume G/ Volume S = # of soda cans

which three measures could be side lengths of a right triangle?

5,7,2,\sqrt(27)
explain work please

Answers

First, let's square all the given measures, so we have 25, 27, 4, and 49. For three measures to form the sides of a right triangle, two of these squares have to add up to the third.

By inspection, we see that the measures of [tex]\boxed{5,\sqrt{27},7}[/tex] form a right triangle, since [tex]25+27=49.[/tex]

The largest z-score available in most tables is 2.99, which corresponds to a probability of 99.86%. A fair coin is
tossed 200 times.
a) What number of heads observedžwould correspond to a z-score of 2.99? [2]

Answers

Answer:

The number of heads observed is 121.14 heads

Step-by-step explanation:

The formula for the z-score of a proportion is given as follows;

[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}[/tex]

Where:

[tex]{\hat{p}[/tex] = Sample proportion

p = Population success proportion = 0.5

q = 1 - p = 1 - 0.5 = 0.5

n = Number in of observation = 200

z = 2.99

Hence, we have;

[tex]z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99[/tex]

Therefore;

[tex]{\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}[/tex]

[tex]{\hat{p}[/tex] = 0.6057

[tex]Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} = \dfrac{Number \ of \ heads}{200} = 0.6057[/tex]

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.

How many numbers can you make between 0-99 using exactly four 4s?

Answers

Answer:

Number Four Fours Term Solved By

0 4 - 4 + 4 - 4 johnv

1 (4/4) / (4/4) johnv

2 4/4 + 4/4 pilot

3 (4+4+4) / 4 pilot

4 [ (4/4) ^4 ] * 4 catbells

5 [ 4*4 +4 ] / 4 pilot

6 [ (4+4) /4 ] +4 scruffy

7 4+4 - (4/4) Flora Flatbelly

8 4*4 - 4 - 4 catbells

9 4/4 +4 +4 scruffy

10 4 + √4 + √4 + √4 P Rubie

11 44 / (√4 + √4) christina

12 4 + 4 + √4 + √4 johnv

13 4!/(√4) + 4/4 tackline

14 4+4+4 + √4 D12Bit

15 (44/4)+4 D12Bit

16 4*4*4 / 4 D12Bit

17 4*4 + 4/4 D12Bit

18 4*4 + 4 / √4 D12Bit

19 4! - 4 - 4/4 ?

Solutions to the Second Challenge: 20 to 99

Number Four Fours Term Solved By

20 4 * 4 + √4 + √4

21 4! - 4 + 4/4

22 4! - (4! / 4 - 4)

23 4! - 4^(4-4)

24 4 * ( 4 + 4/√4 )

25 4! + 4^(4-4)

26 4! + (4! / 4 + 4)

27 4! + 4 - 4/4

28 4! + 4 * (4/4)

29 4! + 4 + 4/4

30 (4 + 4/4)! / 4

31 (4! + 4)/4 +4! MicheleR

32 4*4 + 4*4

33 (4 - .4)/.4 + 4! IceMantis

34 4*4 * √4 + √

35 4! + 44/4

36 4*4 * √4 + 4

37 4! + (4! + √4) / √4 christina

38 44 - 4 - √4

[39] 4! + 4! - 4/.4~

40 44 - √4 - √

41 (4*4 + .4) / .4

42 44 - 4/√4

43 44 - 4/4

44 44 + 4 - 4

45 44 + 4/4

46 44 + 4/√4

47 4! + 4! - 4/4

48 44 + √4 + √4

49 4! + 4! + 4/4

50 44 + 4! / 4

51 (4! - 4 + .4) / .4 Mr.B

52 44 + 4 + 4

[53] 44 + 4 / .4~

54 4! + 4! + (4! / 4)

55 [4! - ( 4 / √4 ) ] IceMantis

56 44 + 4! / √4

[57] 4! + 4! + 4/.4~

58 4! + 4! + 4/.4 IceMantis

59 4!/.4 - 4/4 FireMantis

60 44 + 4 * 4

61 4!/.4 + 4/4 FireMantis

62 (4 + 4) ^ √4 - √4

63 (4! + √4) / .4 - √4 FireMantis

64 4 * 4 * √4 * √4

65 (4^4 +4) / 4 Jeremy

66 (4 + 4) ^ [√4] + √4

67 [4! + √4] / .4 + √4 FireMantis

68 (4 + 4) ^ √4 + 4

69 (4!+4-.4)/.4 Partick

70 44 + 4! + √4 FireMantis

71 (4 + 4! + .4) / .4 IceMantis

72 [ (4! / 4) ^ √4 ] * √4

[73] [4! * √4 + √.4~)] / √.4~) capOCC

74 4! + 4! + 4! + √4 FireMantis

75 (4! + √4 + 4) / .4 FireMantis

76 4!*4 - 4! + 4 Jeremy

[77] (4/.4~) ^ √4 - 4 FireMantis

78 √4 / .4~) * [4! + √4] ArBeeJay Ruakura

79 (4/.4~) ^ √4 - √4

80 4! * 4 - 4*4 -

[81] (4/.4~) * (4/.4~) -

82 (4! / .4) + 4! - √4 Partick

[83] (4/.4~) ^ √4 + √4 -

84 4! * 4 - 4! / √4 -

[85] (4/.4~) ^ √4 + 4 -

86 4!*4 - 4/.4 IceMantis

87 4! * 4 - 4/.4~ -

88 4! * 4 - 4 - 4 -

89 4! + [4! + √4]/.4 RyVikOCC

90 4! * 4 - 4! / 4 -

91 4 * 4! - (√4 / .4) IceMantis

92 4! * 4 - √4*4) -

[93] 4 * 4! - [ √4 / √(.4~) ] IceMantis

94 4! * 4 - 4/√4 -

95 4! * 4 - 4/4 -

96 4! * 4 + 4 - 4 -

97 4! * 4 + 4/4 -

98 4! * 4 + 4/√4 -

[99] (4!*√4-4) / .4~ IceMantis

Step-by-step explanation:


What is the slope of the line?

Thank you!!

Answers

the slope is y = 5x

Megan has two boxes with the dimensions shown. She wants to use the box with the greater volume to ship a gift to her friend. Which box should Megan​ use? Explain.

Answers

Answer:

384 3/4

341 1/4

box A

Step-by-step explanation:

The volume of the box is given by the formula:

Volume = length * width * height

The volume of the box A is:

Volume_A = 9.5 * 3 * 13.5 = 384.75 cm3 = 384 3/4 cm3

The volume of the box B is:

Volume_B = 10 * 3.25 * 10.5 = 341.25 cm3 = 341 1/4 cm3

The volume of the box A is greater than the volume of the box B, so Megan should use the box A

Identify if each graph represents a function. Explain your reasoning.

Answers

Answer:

A and B

Step-by-step explanation:

Do the vertical line test! A and B pass the test, however the circle doesn't. That means the circle is not a function.

Kesley graphed the equation y = 3x + 1 as shown below

Answers

First of all, what graph and second, what is "shown below"

The graph will be a line that passes through these points. In this case, the line will have a positive slope of 3 and a y-intercept of 1. None of the options is correct.

The graph of the equation y = 3x + 1 is a straight line.

To graph this equation, we need to plot points that satisfy the equation and then connect those points to create the line.

We can choose any values for x and calculate the corresponding y values using the equation. Let's choose a few x-values to get started:

When x = 0:

y = 3(0) + 1 = 1

So we have the point (0, 1).

When x = 1:

y = 3(1) + 1 = 4

So we have the point (1, 4).

When x = -1:

y = 3(-1) + 1 = -2

So we have the point (-1, -2).

We can continue this process and plot more points to have a clear representation of the line.

Once we have a few points, we can connect them with a straight line.

The resulting graph will be a line that passes through these points. In this case, the line will have a positive slope of 3 and a y-intercept of 1. Since Kesley draws the wrong x-intercept.

None of the given options is correct.

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The question given is incomplete, the complete question is attached in the image below.

What is 5,267 rounded to the nearest ten?

Answers

Answer:

2,270

Step-by-step explanation:

If you look at the last two numbers, then you can see that the closest ten to 67 is 70.

Answer:

5,270

Step-by-step explanation:

WE CONSIDER 7 TO BE THE NO WHICH WILL BE USED FOR ROUNDING

SO 7 IS MORE THAN 5 SO WE ADD 1 TO THE TENS PLACE

0,1,2,3,4=+0

5,6,7,8,9=+1

Other Questions
A loop of wire is placed into a magnetic field between two magnets. Since this is a three dimensional, a dashed line is drawn through the loop to show the imaginary slice we take that allows us to picture the electron current flow from different perspectives. How do you think the loop will move? Describe this from the front view perspective a) clockwiseb) counter-clockwisec) upd) down what is the tangent ratio of E L?A. 3/4B. 5/3 C. 5/4D. 4/3 Want Brainliest? Get this correct , Which rule should be applied to reflect f(x) = x^3 over the y-axis? Which shapes can the composite figure be decomposed into? Check all that apply. Read the excerpt from The Miracle Worker by William Gibson. KATE: [TOO QUICKLY] What did she spell? ANNIE: I spelled card. She spelled cake! (She takes in KATES quickness and shakes her head, gently.) No, its only a finger game to her, Mrs. Keller. What she has to learn first is that things have names. KATE: And when will she learn? ANNIE: Maybe after a million and one words. Next, read the excerpt from The Story of My Life by Helen Keller. When I had played with it a little while, Miss Sullivan slowly spelled into my hand the word "d-o-l-l." I was at once interested in this finger play and tried to imitate it. When I finally succeeded in making the letters correctly I was flushed with childish pleasure and pride. Running downstairs to my mother I held up my hand and made the letters for doll. I did not know that I was spelling a word or even that words existed; I was simply making my fingers go in monkey-like imitation. In the days that followed I learned to spell in this uncomprehending way a great many words, among them pin, hat, cup and a few verbs like sit, stand and walk. But my teacher had been with me several weeks before I understood that everything has a name. Based on the excerpts, how is the point of view in the play The Miracle Worker different from the point of view in the memoir The Story of My Life? A.Only the play shows Helen having difficulty learning that things have names. B.Only the memoir shows Helens thoughts about her lessons. C.Only the memoir shows Annies thoughts about Helens behavior. D.Only the play shows Helens feelings about her mother. Cicadas produce a sound that has a frequency of 123Hz. What is the wavelength of this sound in air at room temperature? (2.79m) Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 18% each week. The following function represents the weekly weed growth: f(x) = 86(1.18)x. Rewrite the function to show how quickly the weeds grow each day. f(x) = 86(1.02)x; grows approximately at a rate of 0.2% daily f(x) = 86(1.18)7x; grows approximately at a rate of 1.8% daily f(x) = 86(1.02)7x; grows approximately at a rate of 2% daily f(x) = 86(1.187)x; grows approximately at a rate of 0.18% daily Please answer this correctly You plan to purchase dental insurance for your three remaining years in school. The insurance makes a one-time payment of $1200 in case of a major dental repair (such as an implant) or a one-time payment of $160 in case of a minor repair (such as a cavity). If you don't need dental repair over the next 3 years, the insurance expires and you receive no payout. You estimate the chances of requiring a major repair over the next 3 years as 6%, a minor repair as 59% and no repair as 35%. Complete parts a through c.Required:a. Why is X= payout of dental insurance a random variable?A. The amount of the payout for major, mincr, or no dental repair varies over the next 3 years. B. The probability of needing major, minor or no dental repair over the next 3 years is estimated. C. The probability of needing major, minor, or no dental repair over the next 3 years varies. D. The value of the payout depends on whether you will need major, minor, or no dental repair over the next 3 years.b. Is X discrete or continuous? What are its possible values?c. Give the probability distribution of X What is ground deformation A. The results after a heavy rainstorm event B.the movement of the plates that that makes up earths crust C. Swelling in the earths surface as the magma pushes against is D.the results Snow melting into the ground as the temperatures rise A 1000 mm wide steel sheet made of C35 is normalized by cold rolling 10 mm thickdeformed to 5 mm. The rollers, 600 mm in diameter, run at a peripheral speed of 0.12 m/s.The deformation efficiency is 55%.Find out:a) the roller forceb) the roller torquec) the performance on the pair of rollers. How extreme was secession in Virginia?O The state was divided into slave and free.O The state was divided into loyalty and disunion.The state led the rallies for secessionism.The state was the first to secede. Data for Hermann Corporation are shown below: Per unit Percentage of saleSelling price $75 100%expenses 51 68contribution margin 24% 32%Fixed expenses are $75,000 per month and the company is selling 4,000 units per month. Required:a. How much will net operating income increase (decrease) per month if the company uses higher-quality components that increase the variable expense by $4 per unit and increase unit sales by 25%.b. Should the higher-quality components be used? How are nongovernmental producers different from the federal government?A. They can refuse to pay taxes.B. Their goal is to make a profit.C. They can regulate international trade.D. Their existence is dependent upon competition. I need help on this. Look at the picture and observations below B is the midpoint of AC. Find AB, BC, and AC If the total momentum of a system of an old woman pushing a shopping cart is 450 kgm/s, both with a velocity of 3 m/s, and the woman has a mass of 50 kg, what is the mass of the cart? In the northern colonies, cities sprang uparound trade ports, resulting ina needfor moreA. slavesB. plantationsC. ship builders what is the slope of the line that contains the points (4 -1) and (-1,4)