PLS help ASAP I need help with 13

PLS Help ASAP I Need Help With 13

Answers

Answer 1

Answer:

335

Step-by-step explanation:

536/336 = x/210

Answer 2

We're assuming all horizontal lines are parallel. Let x be the distance between A and B

[tex]\dfrac{x}{536}=\dfrac{210}{336}[/tex]

Cross multiply

[tex]336x=536 \times 210[/tex]

Simplifying and solving for x gives us:

[tex]x=335[/tex]

Now, add the distance between A and B and the distance between B and C to find the distance between A and C:

[tex]335+536=871[/tex]

The answer is choice C. Let me know if you need any clarifications, thanks!


Related Questions

What are the more appropriate measures of center and spread for this date set?

Answers

Answer:

better measure the center:the mean

Answer:

The best measure of senter would be the mean since it is not symmetrical.  The better measure of spread would be standard deviation for the same reason.

Step-by-step explanation:  I have just finished algebra. lol.  I hope i helped.  Please mark brainliest, if you want.  I dont have the best explanation but i hope it works for you.  If you need a better explanation feel free to ask.

Please answer this question now

Answers

Answer:

[tex] Area = 538.5 m^2 [/tex]

Step-by-step Explanation:

Given:

∆XVW

m < X = 50°

m < W = 63°

XV = w = 37 m

Required:

Area of ∆XVW

Solution:

Find side length XW using Law of Sines

[tex] \frac{v}{sin(V)} = \frac{w}{sin(W)} [/tex]

W = 63°

w = XV = 37 m

V = 180 - (50+63) = 67°

v = XW = ?

[tex] \frac{v}{sin(67)} = \frac{37}{sin(63)} [/tex]

Cross multiply

[tex] v*sin(63) = 37*sin(67) [/tex]

Divide both sides by sin(63) to make v the subject of formula

[tex] \frac{v*sin(63)}{sin(63)} = \frac{37*sin(67)}{sin(63)} [/tex]

[tex] v = \frac{37*sin(67)}{sin(63)} [/tex]

[tex] v = 38 [/tex] (approximated to nearest whole number)

[tex] XW = v = 38 m [/tex]

Find the area of ∆XVW

[tex] area = \frac{1}{2}*v*w*sin(X) [/tex]

[tex] = \frac{1}{2}*38*37*sin(50) [/tex]

[tex] = \frac{38*37*sin(50)}{2} [/tex]

[tex] Area = 538.5 m^2 [/tex] (to nearest tenth).

x + 3y = 42
2x - y= 14

Answers

Answer:

x=12,y=10

Step-by-step explanation:

Step: Solve x+3y=42

x+3y=42

x+3y+−3y=42+−3y(Add -3y to both sides)

x=−3y+42

Step: Substitute−3y+42forxin2x−y=14:

2x−y=14

2(−3y+42)−y=14

−7y+84=14(Simplify both sides of the equation)

−7y+84+−84=14+−84(Add -84 to both sides)

−7y=−70

Divide both sides by -7

y=10

Step: Substitute10foryinx=−3y+42:

x=−3y+42

x=(−3)(10)+42

x=12(Simplify both sides of the equation)

Hope this Helps:)

-Ac<3-

describe the end behavior f(x)=5x^4+3x^2-1.

Answers

The correct answer is option B

(Mathematics Question)
House Insurance 50 per $100
Contents Insurance 25 per $100

The above shows the rates charged by an insurance company. How much will a person pay for his insurance, if his house is valued at $50,000, and the content at $10,000?
(A) $225
(B) $275
(C) $450
(D) $500

Answers

Answer: B.) $275

Step-by-step explanation:

Rates charged by insurance company :

House Insurance 50 per $100

Contents Insurance 25 per $100

Value of House = $50,000

Insurance Fee:

$50,000 / $100 = 500

500, 50 cent payment,

50 cent × 500 = 25000 cent

Value of content = $10,000

Insurance Fee:

$10,000 / $100 = 100

100, 25 cent payment

25 cent × 100 = 2500 cent

Total insurance fee:

(25000 + 2500) cent

= 27500 cent

27,500 cent / 100

= $275

A cylinder has a volume of 390 cm³. If a cone has the same dimensions as the cylinder then what is the volume of the cone.

Answers

Answer: The volume of the cone is 130 cubic centimeters.

Step-by-step explanation:

We know that to find the volume of a cylinder you will use the formula

V= [tex]\pi[/tex][tex]r^{2} *h[/tex]  Where r is the radius and h is the height.

And to find the volume of a cone you will use the formula

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

So if they have the same dimensions which is the height and the radius then we will just divide the  volume of the cylinder by 3 to find the volume of the cone.

V = 390/3

V =  130 cm^3

Can anyone help me with this plz?

Answers

The answer is 3

Nsbdjd didjdjjc idjdndno is Bebe

Answer this question will give brainliest.

Answers

Answer:

             A.

Step-by-step explanation:

Faktor (x-a) means a is x-intercept

x-10  ⇒  10 is x-intercept

22-x  ⇒  22 is x-intercept

x+10  ⇒  -10 is x-intercept

20+x  ⇒  -22 is x-intercept

so in the graph have to be at least two intercepts <0 and at least two intercepts >0


Instructions: Given the following image of two parallel lines cut by a transversal, find
the value of a
P Flag
question
Recovery
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7x-6
mpetencies
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5x + 10
Durse Overview and
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Unit 1: The Foundations
of Geometry
Jangles (type the type of angle in
Unit 2. Logic, Reasoning,
and Proof
First, these angles are alternate exterior
the box)
Next, set each angle equal to each other.
Unit 3: Parallel and
Perpendicular Lines
Next, solve for a
Home

Answers

Step-by-step explanation:

Here,

7x-6=5x+10 (as it has given already that alternate exterior angle are equal.

now, simplifying,

or,7x-5x = 10+6.

or, 2x=16

or, x=16/2

Therefore the value of x is 8.

i hope it helps.....

Find the value of
10!
(10-3)
A. 70
B. 120
O C. 5040
O D. 720

Answers

Answer:

The answer is option D.

Step-by-step explanation:

[tex] \frac{10!}{(10 - 3) ! } = \frac{10!}{7!} = \frac{3628800}{5040} = 720[/tex]

Hope this helps you

Answer:

720

Step-by-step explanation:

(A P E X)

Please help fast! 25 points and brainliest!!

Let f(x) = 36x5 − 44x4 − 28x3 and g(x) = 4x2. Find f of x over g of x

Answers

Answer:

The answer is

9x³ - 11x² - 7x

Step-by-step explanation:

f(x) = 36x^5 − 44x⁴ − 28x³

g(x) = 4x²

To find f(x) / g(x) Divide each term of f(x) by g(x)

That's

[tex] \frac{f(x)}{g(x)} = \frac{ {36x}^{5} - {44x}^{4} - {28x}^{3} }{ {4x}^{2} } \\ \\ = \frac{ {36x}^{5} }{ {4x}^{2} } - \frac{ {44x}^{4} }{ {4x}^{2} } - \frac{ {28x}^{3} }{ {4x}^{2} } \\ \\ = {9x}^{3} - {11x}^{2} - 7x[/tex]

Hope this helps you

Answer:

9x³ - 11x² - 7x

Step-by-step explanation:

guy abpove is right or bwlowe

PLEASE HELP What is the difference between a consistent and inconsistent system of equations?

Answers

Answer:

A consistent system of equations has at least one solution, and an inconsistent system has no solution.

Step-by-step explanation:

Answer:

A consistent system of equations has at least one solution, and an inconsistent system has no solution.

Step-by-step explanation:

nvm

help me Please!!!!!!!​

Answers

Answer:

[tex]\boxed{Option \ C}[/tex]

Step-by-step explanation:

[tex]Sin \ Y = \frac{Opposite }{Hypotenuse } = \frac{XZ}{XY}[/tex]

[tex]Cos \ Y = \frac{Adjacent}{Hypotenuse} = \frac{YZ}{XY}[/tex]

[tex]Tan Y = \frac{opposite}{adjacent} = \frac{XZ}{ZY}[/tex]

Answer:

[tex]\boxed{\mathrm{C}}[/tex]

Step-by-step explanation:

sin [tex]\theta[/tex] = Opposite/Hypotenuse

sin (Y) = [tex]\frac{XZ}{XY}[/tex]

cos [tex]\theta[/tex] = Adjacent/Hypotenuse

cos (Y) = [tex]\frac{YZ}{XY}[/tex]

tan [tex]\theta[/tex] = Opposite/Adjacent

tan (Y) = [tex]\frac{XZ}{YZ}[/tex]

2.
The roots of the equation x2-3x - m(m + 3) = 0,
where m is a constant, are
(a) m, m + 3
(b) -m, m + 3
(c) m,- (m+3) (d) -m, -(m + 3)
(AI 2011)​

Answers

Answer:

(b) -m, m + 3

Step-by-step explanation:

x² − 3x − m(m + 3) = 0

x² − 3x = m(m + 3)

x² − 3x + 9/4 = m(m + 3) + 9/4

(x − 3/2)² = m(m + 3) + 9/4

(x − 3/2)² = m² + 3m + 9/4

(x − 3/2)² = (m + 3/2)²

x − 3/2 = ±(m + 3/2)

x − 3/2 = m + 3/2, -m − 3/2

x = m + 3, -m

Add. 5/4+1/2 plzzzzzzzzz helppppppp!!!!!!!!!!!

Answers

Answer:

1 3/4

Step-by-step explanation:

5/4 + 1/2

Get a common denominator of 4

5/4 * 1/2 *2/2

5/4 + 2/4

7/4

Rewriting as a mixed number

4/4 + 3/4

1 3/4

How does the graph of g(x) = (x + 2)3 − 7 compare to the parent function of f(x) = x3? g(x) is shifted 2 units to the right and 7 units down. g(x) is shifted 7 units to the right and 2 units up. g(x) is shifted 2 units to the left and 7 units down. g(x) is shifted 7 units to the left and 2 units down

Answers

Answer: g(x) is shifted 2 units to the left and 7 units down.

Step-by-step explanation:

The original function f(x) becomes f(x+c), if it is shifted c units to the left.The original function f(x) becomes f(x-c), if it is shifted c units to the right.Also, if it is shifted d units down, then the function becomes f(x)-d.If it is shifted d units up, then the function becomes f(x)+d.

Here, if we compare the graph of [tex]g(x) = (x + 2)^3 -7[/tex] compare to the parent function of [tex]f(x) = x^3[/tex].

We can observe that f(x) is shifted  2 units to the left and 7 units down.

So, the correct statement is "g(x) is shifted 2 units to the left and 7 units down".

Answer:

g(x) is shifted 2 units to the left and 7 units down.

Step-by-step explanation:

I took it and got it correct.

A contractor can spend at most $250 a day on operating costs and payroll. It costs $45 each day to operate the forklift and $60 a day for each crew member. Write an inequality to represent the contractor's budget for the day.

Answers

Answer: [tex]45+65x\leq250[/tex] .

Step-by-step explanation:

Given: Cost to operate the forklift  per day = $45

Cost for each crew member per day = $65

Let x be the number of crew members.

Then, we have

Total cost = (Cost to operate the forklift  per day)+(Cost for each crew member per day)×(number of crew members)

= 45+65x

Since, the contractor can spend at most $250.

Then, the required inequality: [tex]45+65x\leq250[/tex] .

10x-3y=-17; y=x+1

10x-3(x+1)=-17

Answers

Answer:

y=3/10;X=-7/10

Step-by-step explanation:

put y=x+1 into where you find y.

solve for X which is -7/10

and put -7/10 into the second equation and solve for y. which is also =3/10

What is the solution to the system of equations graphed below?

Answers

Answer: (4,2)

Step-by-step explanation: The point where the two lines cross is the solution. In parentheses the first number is the x-value, 4. The second number is the y-value, 2 in this example.

(4,2)

step by step explanation:

the two points join at (4,2) on the graph

first we want to write the point on the x-axis that is 4 and then y-axis that is 2 this two lines join at the point (4,2) so answer is (4,2)

The equations 9 x minus 10 y = 6, 8 x minus 10 y = negative 23, 9 x + 10 y = negative 16, and 8 x + 10 y = 13 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (negative 2, 0.75) and (negative 2, 1.5). Blue line goes through (negative 1.75, 0) and (1, negative 2). Pink line goes through (negative 1.5, negative 2), and (1.5, 0.75). Purple line goes through (0, 1.25) and (1, 0.5). PLEASE ANSWER IS 2 MINUTES WILL GIVE BRAINLIEST Which is the approximate solution for the system of equations 8 x minus 10 y = negative 23 and 9 x + 10 y = negative 16? (–2.3, 0.5) (–2.5, 1) (–2.3, –0.5) (–2.5, –1)

Answers

Answer:

Step-by-step explanation:

The two equations are 8x-10y=-23 and 9x+10y=-16.

If you plug them both into a graphing calculator, you will see that the point where they cross (the solution) is (-2.3, 0.5).

The answer is A.

Answer:

i think it is A

Step-by-step explanation:

if right pls give brainliest

Nvm it is right pls give brainliest i need 5 to get to next rank

PLEASE HELP the formula m=12,000+12,000rt/12t gives keri's monthly loan payment where t is the annual interest rate and t is the length of the loan, in years. Keri decideds that she can afoord at most a $275

Answers

Answer:

The answer is below

Step-by-step explanation:

The formula m = (12,000 + 12,000rt)/12t gives Keri's monthly loan payment, where r is the annual interest rate and t is the length of the loan, in years. Keri decides that she can afford, at most, a $275 monthly car payment. Give an example of an interest rate greater than 0% and a loan length that would result in a car payment Keri could afford. Provide support for your answer.

Answer: Let us assume an annual interest rate (r) = 10% = 0.1. The maximum monthly payment (m) Keri can afford is $275. i.e. m ≤ $275. Using the monthly loan payment formula, we can calculate a loan length that would result in a car payment Keri could afford.

[tex]m=\frac{12000+12000rt}{12t}\\ but\ m\leq275, \ and \ r=10\%=0.1\\275= \frac{12000+12000(0.1)t}{12t}\\275= \frac{12000}{12t} +\frac{12000(0.1)}{12t}\\275= \frac{1000}{t} + 100\\275-100= \frac{1000}{t} \\175= \frac{1000}{t} \\175t = 1000\\t= \frac{1000}{175}\\ t=5.72\ years[/tex]

The loan must be at least for 5.72 years for an annual interest rate (r) of 10%

Here's the keywords you need! :)

example of an interest rate and a loan length that costs under $275/month (example: 4-year loan at 2% interest)

monthly payment for the loan you described (example: 4-year loan at 2% interest is $270/month)

statement that the monthly payment for the loan you described is less than or equal to $275 (example: $270/month payment is less than $275)

Just got it right on edge 2020, hope this helps!! :)

which statement about this figure is true

Answers

Answer:

D: It has reflectional symmetry with one line of symmetry

Step-by-step explanation:

The reason D is the answer is because, the tree has the same sides and if you put a line in the middle of the tree it is identical to the other side.

The image has a reflectional symmetry with one line of symmetry. The correct option is d.

A reflectional symmetric image has at least one line (axis) along which it can be folded or reflected to produce a complementary or identical image on the opposite side. The image is split along this line of symmetry into two equal halves that are mirror images of one another. The reflectional symmetry gives the picture a feeling of harmony and balance.

It is similar to viewing an image through a mirror in that the portion that is reflected is an exact replica of the original. This kind of symmetry is frequently found in many patterns and objects in nature, art and architecture which enhances the overall design's aesthetic appeal and visual interest.

learn more about reflectional symmetry here

brainly.com/question/27847257

#SPJ2

how do i factorise this with quadratic trinomials? 3x^2−8x−3
Thank you :)

Answers

Answer:

(x - 3) (3x + 1)

Step-by-step explanation:

3x^2 -8x - 3

3x^2 - 9x + x - 3

3x (x - 3) + 1 (x - 3)

(x -3) (3x + 1)

Martin will earn $25 per hour at a new job. During training, he will earn $20 per hour. What percent of Martin's regular hourly rate will he earn during training?

Answers

Answer:

He will earn 80% during training

Step-by-step explanation:

Lets take $25 as 100%

And take $20 as x

Using equivalent ratios, the equation would look like: $25:100% = $20:x

Next, turn them into fractions: $25 = $20

100% x

Cross multiply to get:

(25)x = $20×100%

The next step:

25x = $20×100%

25 25

25 and 25 will cancel each other out leaving x, and 25 will divide 100% which will give you 4

Leaving it as:

x= 20×4%

x= 80%

create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.

A. + 7 = 12; x = 5
B. x = 5 + 7; x = 12
C. x + 5 = 7; x = 2
D. x + 7 = 5; x = -2

Answers

Answer:

C

Step-by-step explanation:

We can notice that the balance beam has in one side 7 balls and in the other one 5 balls and a square

The balance beam is balenced

Let x be the square mass

x+5 = 7            substract five from each side x+5-5 = 7-5 x = 2

The solution is 2

C fits perfectly what we prooved

Answer:

C: x + 5 = 7; x = 2

Step-by-step explanation:

Refer to the given model. On the left-hand side of the balance beam, there are five circles and one square. On the right-hand side of the balance beam, there are seven circles. The balance beam is evenly distributed, so the value on the left-hand side of the balance beam must be the same as the value on the right-hand side of the balance beam.

The square stands for an unknown quantity. In algebra, variables are used to represent unknown quantities, so x will represent the value of the square.

The model shows that the value of x plus five circles is the same as seven circles. Replacing the word "plus" with a plus sign and replacing "is the same as" with an equal sign gives the equation x + 5 = 7.

To solve the equation, subtract 5 from both sides of the equation to isolate x.

Thus, the solution to the equation is x = 2.

Onyango is now three times as old as his daughter and four times as old as his son. Eight years from now, Onyango's age will be twelve years more than the sum of the ages of his son and daughter. Find their present ages.

Answers

Answer:

Onyango is 48, his daughter is 16 and his son is 12

Step-by-step explanation:

Let's call Onyango's age x, therefore his daughter and son's ages are 1/3 x and 1/4 x respectively. We can write:

x + 8 = 12 + (1/3x + 8 + 1/4x + 8)

x + 8 = 7/12x + 28

5/12x = 20

x = 48 → 1/3x = 48 / 3 = 16, 1/4x = 48 / 4 = 12

Can someone please help me?

Answers

Answer:

( - 1 , - 1 )

Option D is the correct option.

Step-by-step explanation:

y = - 2x - 3 → Equation ( i )

y = 3x + 2 → Equation ( ii )

Using elimination method

y + 2x = - 3

y - 3x = 2

---------------------

5x = - 5

Divide both sides of the equation by 5

[tex] \frac{5x}{5} = \frac{ - 5}{5} [/tex]

Calculate

[tex]x = - 1[/tex]

Again, Putting the value of x in equation ( ii ) in order t get the value of y

[tex]y = 3x + 2[/tex]

plug the value of x

[tex] = 3 \times ( - 1) + 2[/tex]

Any expression multiplied by ( - 1 ) equals it's opposite

[tex] = - 3 + 2[/tex]

Calculate

[tex] = - 1[/tex]

Therefore, The possible solution of the system is the ordered pair ( x , y )

[tex](x \:, y \: ) = ( - 1 \:, - 1)[/tex]

-----------------------------------------------------------------------

Check if the given ordered pair is the solution of the system of equation

[tex] - 1 = - 2 \times ( - 1) - 3[/tex]

[tex] - 1 = 3 \times ( - 1) + 2[/tex]

Simplify the equation

[tex] - 1 = - 1[/tex]

[tex] - 1 = - 1[/tex]

Since all the equalities are true, the ordered pair is the solution of the system.

( x , y ) = ( - 1 , - 1 )

Hope this helps..

Best regards!!

A circle has an area of n cm2. What is it’s radius. A. 1cm b. 2cm c. 1/2 cm d. Can’t be determined

Answers

Answer:

The answer is option D.

Step-by-step explanation:

Area of a circle is πr²

where r is the radius

from the question the area is n cm² which is a variable and not a number therefore cannot be used to determine the radius of the circle.

Hope this helps you

Answer:

thank you

Step-by-step explanation:

HELP ASAP WILL MARK BRAINLIEST

Answers

Answer:

4 hours

Step-by-step explanation:

Formula for volume of a cylinder is πr² · h

1. Find the volume of the pool

π(3.5²) · 1.9 = 73.1 m³

2. Divide by the amount of water pumped out per hour (17 m³)

73.1 ÷ 17 = 4.3

It would take 5 hours to completely empty the pool but 4.3 rounded to the nearest whole hour is 4 hours.

Answer:

The hours does it take to empty the pool is 4.299

Step-by-step explanation:

In order to calculate how many hours does it take to empty the pool, we would have to make the following calculation:

hours does it take to empty the pool=Volume of cylinder/rate water is pumped out of the pool

rate water is pumped out of the pool=17m∧3

Volume of cylinder=pi*r∧2*l

According to the given data:

r=3.5

l=1.9

Therefore, Volume of cylinder=3.14*3.5∧2*1.9

Volume of cylinder=73.0835 m∧3

hours does it take to empty the pool=73.0835/17

hours does it take to empty the pool=4.299

The hours does it take to empty the pool is 4.299

The Free Food Club holds weekly meetings. In chronological order, they've ordered 12, 9, 11, 10, 13, 8, 7, and 13 pizzas over the last two months. What is the median number of pizzas that they ordered?
NEED ASAP

Answers

Answer:

10.375

Step-by-step explanation:

1.) Add up all the amount of pizzas |  12 + 9 + 11 +10+13+8+ 7,+ 13=83

2) Divide the total amount of pizzas by the amount of pizzas/amount of numbers of pizzas. | 83 divided by 8 =

10.375

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Which of the following is a TRUEstatement about states of matter?A. Most matter on Earth exists as a solid, liquid, or gas.B. Plasma, the fourth state of matter, is abundant on Earth.C. Matter never changes from a solid to a liquid or a gas.D. Most matter in the universe is liquid. In the performance of the "Coronation Scene" from the opera Boris Godunov (featured in the lesson on nationalism), what percussion instrument starts the scene? Find the Surface area of the attached image and round answer to the nearest tenth, if necessary. III. Translate the following sentences into Spanish 11. My parents know Guanajuato very well. 12. Do you (informal) know what time it is? 13. We are going to go to a concert tonight. 14. Sandra knows how to play basketball like a professional player (jugadora). 15. My brothers eat and drink a lot. In Act II of The Crucible, what is Proctor's attitude toward Parris? He differs with Parris on issues of church doctrine. He thinks that Parris is too lenient in judging people. He respects Parris' devotion to God. He believes that Parris is too interested in wealth. EF is a median of trapezoid ABCD. What is the value of x? Para is used to mean _____. A volume of 30.0 mL of a 0.140 M HNO3 solution is titrated with 0.570 M KOH. Calculate the volume of KOH required to reach the equivalence point. when was nepal declared as a republic country write full date in nepali Determine the measure of the unknown variables Which claim is the most effective for the argument that the minimum age to get a drivers license should be changed to 18? Some 16-year-olds help out by driving their younger siblings to school, so changing the minimum driving age to 18 would be a problem for them. Some 16-year-olds are mature enough to drive, but changing the minimum driving age to 18 would be an overall benefit for everyone. Changing the minimum driving age to 18 would mean safer roads for everyone, since less-experienced drivers are more likely to have accidents. Changing the minimum driving age to 18 shouldnt cause too much of a problem, because its only two years older than 16. What is the energy change associated with 1.5 mole of D being formed? jake buys a new car for $18,259. each year x after he buys the car, its value y depreciates by $445. which equation models the relationship between x and y?A. y=445x + 18,259B. y= -445x + 18,259C. y= 445x - 18,259D. y= -445x - 18,259 Increase in Space Suit Pressure 0.0/3.0 points (graded) If the pressure in a space suit increases, how will each of the following be affected? Flexilibity will: Increase Decrease Stay the same unanswered The required pre-breathe time will: Increase Decrease Stay the same unanswered The mass of the suit will: Increase Decrease Stay the same What are the solutions to the quadratic equation 2x2 + 10x - 48 = 0? John has 14 boxes of apples. Each box holds 12 apples. If 6 of the boxes are full, and 8 of the boxes are half full, how many apples does John have? Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x = 1 x = negative 1 and x = 1 x = 0, x = negative 1, and x = 1 Find the net work W done on the particle by the external forces during the motion of the particle in terms of the initial and final kinetic energies. Express your answer in terms of Ki and Kf. Use multiplication to solve the proportion w/4 = 42/24 Suppose you are testing a new amusement park roller coaster with an empty car with a mass of 100 kg. One part of the track is a vertical loop with a radius of 12.0 m. At the bottom of the loop (point A), the car has a speed of 25.0 m/s and at the top of the loop (point B), it has a speed of 8.00 m/s. As the car rolls from point A to point B, how much work is done by friction? Use 9.81 m/s2 for the acceleration due to gravity.