Explain how the energy of a toy car is transformed as it slides down a ramp. Give evidence that the energy of the car remains the same at all points on the ramp.

Answers

Answer 1

At the top of a ramp, all of the energy of the car is potential: that is, it has yet to be moved but has the ability to move. As the car is sliding down the ramp, the potential energy is being transformed into kinetic energy, which reaches a maximum at halfway down the ramp. After this point, the kinetic energy begins to lessen and the potential energy begins to increase, until the car comes to a full stop, at which point kinetic energy is at zero and the potential energy is again at a maximum.

Answer 2

Answer:

as the car slides down the ramp it is in kinetic energy and when it is on the top of the ramp it is on potential energy we see that the energy is being transferred

Related Questions

How do you work out a quadratic equation with a maximum value?

Answers

Alright, so if you have the equation ax^2+bx+c=0, the maximum value is -b/2a for the x value if a is negative, or it's infinity (since the parabola goes on forever). For the y value, simply plug (-b/2a) into the equation. If a is positive, it gives you the minimum value, and if it's negative then it's the maximum.

Given the maximum value, you know that a is negative, so given the x value of the maximum value you know if b is negative or not. In addition, you can plug numbers in for b and a for what works, as well as having a point from the maximum value to plug in.

the first term of a arithmetic sequence is 2 and the 4th term is 11, how do I find the sum of the first 50 terms

Answers

[tex]\bf n^{th}\textit{ term of an arithmetic sequence}\\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ ----------\\ a_1=2\\ a_4=11\\ n=4 \end{cases} \\\\\\ a_4=2+(4-1)d\implies 11=2+(4-1)d\implies 11=2+3d \\\\\\ 9=3d\implies \cfrac{9}{3}=d\implies \boxed{3=d}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \textit{now, what's the 50th term anyway?} \\\\\\ n^{th}\textit{ term of an arithmetic sequence}\\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ ----------\\ a_1=2\\ n=50\\ d=3 \end{cases} \\\\\\ a_{50}=2+(50-1)3\implies a_{50}=2+147\implies a_{50}=149\\\\ -------------------------------\\\\[/tex]

[tex]\bf \textit{sum of a finite arithmetic sequence}\\\\ S_n=\cfrac{n}{2}(a_1+a_n)\quad \begin{cases} n=50\\ a_1=2\\ a_{50}=149 \end{cases}\implies S_{50}=\cfrac{50}{2}(2+149)[/tex]

The equation of a line is x + 4y = 15.

What is the y-intercept of the line?

415

15

−15

154

Answers

if your doing this for ORVA its 15/4 (remember to put the back slash for the fraction so it doesn't look like 154)

an ice cream factory makes 260 quarts of ice cream in 10 hours. How many quarts could be made in 36 hours? What was that rate per day?

Answers

260 quarts * 36 hours = 9,360 quarts
260 * 20 hours = 5,200 quarts ---> 260 quarts / 10 hours = 26 quarts per hour ---> 26 quarts * 4= 104 quarts ---> 5,200 + 104 = 5,304 quarts per day

Final answer:

The ice cream factory can make 936 quarts in 36 hours and the rate per day is 624 quarts.

Explanation:

To find out how many quarts of ice cream can be made in 36 hours, we can set up a proportion based on the rate of production. The rate of production is 260 quarts of ice cream in 10 hours. We can set up the proportion:

260 quarts / 10 hours = x quarts / 36 hours

Cross-multiplying, we get:

10x = 260 * 36

Simplifying, we find:

x = (260 * 36) / 10 = 936

Therefore, 936 quarts of ice cream can be made in 36 hours.

To find the rate per day, we need to calculate how many quarts can be made in 24 hours. We can set up the proportion:

260 quarts / 10 hours = y quarts / 24 hours

Cross-multiplying, we get:

10y = 260 * 24

Simplifying, we find:

y = (260 * 24) / 10 = 624

Therefore, the rate per day is 624 quarts of ice cream.

A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, each representing a different student. The scatterplot shows a grouping of points rising from left to right. Which statement could be true?
a.)There is no relationship between the number of hours that students study and their test scores because the scatterplot does not have a cluster.
b.)As the number of hours of studying increases, test scores decrease because the scatterplot has a cluster that increases from left to right.
c.)As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.
d.)The number of hours that students study is equal to the test scores because the scatterplot does not show a cluster.

Answers

The answer would be C) As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.

Any questions? Ask me in the comments bellow.
Hope this helps. :)

Answer:

Step-by-step explanation:

Ellen walks dogs on weekends. She gets paid $8.50 per hour. Each day she works five hours and 45 minutes. How much does Ellen get paid per weekend?

Answers

48.875 i believe is the answer hope it helps!!!

What is the measure of an exterior angle of a regular 11-sided polygon? enter your answer as a decimal in the box. round to the nearest tenth of a degree?

Answers

In 11 sided Polygon no. of sides = 11

In general sum of interior angle of any polygon = [tex](n-2)*180[/tex]
Where n is no. of sides in polygon.
We can find value of each interior angle in any polygon as
[tex] \frac{(n-2)*180}{n} [/tex]

For polygon of 11 sides
Value of each interior angle is
[tex] \frac{(11-2)*180}{11} [/tex]
[tex] \frac{9*180}{11} = \frac{1620}{11} = 147.272727..... [/tex]
So value of each interior angle in 11 sided polygon is 147.272727..... which we can round it as 147.28 degree.

Value of exterior angle in polygon = 180 - interior angle
= 180 - 147.28 = 32.72 degree.

So the value of exterior angle in 11 sided polygon is = 32.72 degree.

Angles L and M are supplementary. What is the sum of their measures? The sum of the measures of angles L and M is

Answers

Supplementary angles will always add up to 180. If you had a straight line, and you drew another line across that line, the two angles on either side of that line would add up to 180 because a flat line is equal to 180 degrees.

supplementary angles, when added, = 180 degrees

in a word game, you choose a tile from the bag, replace it, and then choose another. if there are 28 vowels and 12 constants, what is the probability you will choose a constant

Answers

Since there are 28+12=40 tiles to choose from, and there are 12 constants, there is a 12/40=6/20=0.30=30%=3/10 chance of choosing a constant

4. Your Turn: Find the measure of angle B. Enter only the number as your answer. *

Answers

interior angles of a triangle add up to 180 degrees

3x + 2 + 2x + 7 + 41 = 180
5x + 50 = 180
5x = 180 - 50
5x = 130
x = 130/5
x = 26

< A = 3x + 2......3(26) + 2 = 80
< B = 2x + 7......2(26) + 7 = 59
< C = 41
------------add
for a total of 180 (correct)

so ur < B = 59 <===

Plz help! Convert 3/5 into fractions with a denominater of 15 A.9/15 B. 3/15 C.5/15 D. 6/15

Answers

Because we need to multiply the bottom by 3 to get 15, we need to multiply the top as well:

3*3/5*3
9/15

Hope this helped!

Mr.Frost typed for 12 minutes at a constant rate of 50 words per minute. Mrs. Grey typed the same number of words at a constant rate of 60 words per minute.

How many minutes did it take Mrs. Grey to type the same amount as Mr. Frost?

Drag the steps in the correct order to solve the problem.

Strategize. Let x = Mrs. Grey's time.
Solve for x. x=10.
Identify. Mrs. Grey's time is the unknown.
Set up. 12(50)= x(60)
Check. 12(50) = 10(60)

Answers

Identify

strategize

set up

solve

check

1) Identify ------> Mrs. Grey's time is the unknown

2) Strategize

Let

x--------> Mrs. Grey's time in minutes

3) set up

we know that

[tex]12*50=x*60[/tex]

4) solve

[tex]12*50=x*60\\ x=(12*50)/60\\x=10\ minutes[/tex]

5) check

[tex]12*50=10*60\\600=600[/tex]

therefore

the answer is

-Identify

-strategize

-set up

-solve

-check

The perimeter p of a rectangle is related to the length l and width w through the equation p=2l+2w. determine the width in terms of the perimeter and length.

Answers

To find the equation for width in terms of length and perimeter, we need to solve for w in the equation for perimeter:
[tex]p=2l+2w[/tex]
[tex]p-2l=2w[/tex]
[tex]\frac{1}{2}p-l=w[/tex]

what's the answer to this equation?

Answers

x^2-2x+2 is the same as 1x^2-2x+2

1x^2-2x+2 = 0 is in the form ax^2+bx+c = 0 where
a = 1
b = -2
c = 2

Plug these a,b,c values into the discriminant formula below
D = b^2 - 4ac
D = (-2)^2 - 4*(1)*(2)
D = -4

The final answer is -4

What is the product? (X-3)(2x^2-5x+1)

Answers

Answer:

C. 2x^3-11x^2+16x-3

if that is the wrong answer then what is the right answer .

Answers

well whats the question

−42v+33<8v+91 solve for v

Answers

−42v+33<8v+91
33 - 91 < 8v + 42v
-58 < 50v
-58/50 < v
-29/25 < v
or
v > -29/25

The value of v is v > -1.16.

What are Linear Inequalities?

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given linear inequality is

−42v + 33 < 8v + 91

We have to take like terms on one side.

-42v and 8v are like terms and 33 and 91 are like terms.

Subtracting 8v from both sides,

−42v + 33 - 8v < 8v + 91 - 8v

-50v + 33 < 91

Subtracting 33 from both sides,

-50v + 33 - 33 < 91 - 33

-50v < 58

Dividing both sides by -50, the inequality sign changes.

v > -58 / 50

v > -1.16

Hence the solution for the inequality is v > -1.16.

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Simplify y 5 • y 3 ÷ y 2

Answers

(Y+3)(y-5) that’s the answer

Use the product rule.

y^5 + 3 - 2

Simplify 5 + 3 - 2 to 6.

The answer is: y^6

What is the radius of a circle with circumference 27 in.?

Answers

Okay. So, the circumference equals pi * diameter. What we would have to do is divide 27 by pi (3.14). When you divide, you should get 8.598 and other numbers behind it or 8.6 when rounded to the nearest tenth. The radius is half of the diameter, so you do 8.6/2. When you do that, your quotient should be 4.3. The radius of a circle with a circumference of 27 in. is 4.3 in.

Final answer:

The radius of a circle with a circumference of 27 inches can be calculated using the formula for the circumference of a circle which is 2πr. Calculating this, the radius is approximately 4.3 inches.

Explanation:

The subject of this question is Mathematics, more specifically, Geometry which deals with shapes, sizes and properties of figures. In this case, we are being asked to find the radius of a circle given its circumference. The circumference of a circle is calculated as 2πr, where r represents the radius and π is approximately equal to 3.14.

To find the radius (r), you would divide the circumference by 2π. Given that the circumference of the circle is 27 inches, we divide 27 by 2π (approximately 6.28). This can be further simplified to approximately 4.3 inches.

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Evaluate cot675°. i will give brainlist

Answers

cot 675 = cot (675 - 360) = cot 315 degrees

this angle is in the 4th quadrant where tan and cot are negative

cot 315 = 1 / tan 315 = - 1/ tan 45 = = -1

The value of expression cot 675° is, - 1

We have to given that,

To find the value of cot 675°.

Now, We can find the value as,

⇒ cot 675°

⇒ cot (2 × 360 - 45)°

⇒ - cot 45°

⇒ - 1

Hence, The value of expression cot 675° is, - 1

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If h(x)= (f o g)(x) and h(x)= 4 √x+7, find g(x) if f(x) = 4 √x+1

Answers

(f o g)(x)=f(g(x))

so

h(x)=f(g(x))
[tex]4\sqrt{x+7}=4\sqrt{g(x)+1}[/tex]
hmm, see the differences

x+7=g(x)+1

x+6=g(x)
g(x)=x+6

Factor the polynomial given a common factor.

Answers

The answer that goes in the blank is x-pi/2

Where the "-pi/2" part is its own fraction (x is not part of it; i.e., x is not in the numerator of the fraction).

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

To find this answer, we need to ask ourselves: "1/3 times what quantity will give us (1/3)x?". The answer to this sub-question is simply x. In other words, 1/3 times x is (1/3)x. That takes care of the first part.

For the second part, we have 1/3 times something equal to -pi/6. That "something" must be -pi/2. Note how

(1/3)*(-pi/2) = (1*(-pi))/(3*2) = -pi/6

So you have to think backwards in a sense. Or you can treat it like this

(1/3)*y = -pi/6

Multiplying both sides by 3 leads to

y = -pi/2

if you have the polynomial [tex] \frac{1}{3} [/tex] x - [tex] \frac{ \pi}{6} [/tex] by factoring out [tex] \frac{1}{3} [/tex] then the result would be:

[tex] \frac{1}{3} [/tex] x - [tex] \frac{ \pi}{6} [/tex] = [tex] \frac{1}{3} [/tex] [([tex] \frac{1}{3} [/tex] ÷ [tex] \frac{1}{3} [/tex] x) - ([tex] \frac{ \pi}{6} [/tex] ÷ [tex] \frac{1}{3} [/tex] )]

= [tex] \frac{1}{3} [/tex] ( x - [tex] \frac{ \pi}{2} [/tex])

What is the median of the data set?

30 52 68 65 69 61 68 75 85 78
Question 2 options:

61

65.1

68

69

Answers

Answer: The answer is 68

The above answer is incorrect.

Step-by-step explanation:

6(r+3)-4=2r+10+4r how do you slove that

Answers

Simplify 2r + 10 + 4r to 6r + 10

Expand it

Simplify 6r + 18 - 4 to 6r + 14

Cancel 6r on both sides

Since 14 = 10 is false, there is NO solution for this equation so no answer.

6(r+3) - 4 = 6r + 10 (simplify)

6r + 18 - 4 = 6r + 10 (distribute 6 into all)

6r + 14 = 6r + 10 (simplify)

6r - 6r = 10 - 14

0 = -4 (untrue)

cannot be solved sorry

Danny's truck has a fuel tank with a capacity of 20 gallons of gas. The truck averages 17 miles per gallon of gas. The function M(g) = 17g represents the number of miles that Danny's truck travels on g gallons of gas. What domain and range are reasonable for the function? D: 0 ≤ g ≤ 340 R: 0 ≤ M(g) ≤ 20 D: 0 ≤ g ≤ 20 R: 17 ≤ M(g) ≤ 340 D: 17 ≤ g ≤ 20 R: 20 ≤ M(g) ≤ 340 D: 0 ≤ g ≤ 20 R: 0 ≤ M(g) ≤ 340 NextReset

Answers

The domain and range of the function will be D: 0 ≤ g ≤ 20 R: 17 ≤ M(g) ≤ 340 option second is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

M(g) = 17g

g = amount of gas.

M(g) = number of miles that Danny's truck travels on g gallons of gas

Maximum fuel capacity = 20 gallons

So the domain D will be:

D: 0 ≤ g ≤ 20

If g = 0, M(g) = 0

If g = 20, M(g) = 340

So the range:

R: 17 ≤ M(g) ≤ 340

Thus, the domain and range of the function will be D: 0 ≤ g ≤ 20 R: 17 ≤ M(g) ≤ 340 option second is correct.

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Answer:

0 ≤ g ≤ 20 R: 17 ≤ M(g) ≤ 340 option

Step-by-step explanation:

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The domain and range of the function will be D: 0 ≤ g ≤ 20 R: 17 ≤ M(g) ≤ 340 option second is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

M(g) = 17g

g = amount of gas.

M(g) = number of miles that Danny's truck travels on g gallons of gas

Maximum fuel capacity = 20 gallons

So the domain D will be:

D: 0 ≤ g ≤ 20

If g = 0, M(g) = 0

If g = 20, M(g) = 340

So the range:

R: 17 ≤ M(g) ≤ 340

What is the slope of the line shown?

Answers

the slope is positive 9/7 bc you go up 9 from the first point and 7 to the right

Answer:

Option (b) is correct.

The slope of line shown in given graph is [tex]\frac{9}{7}[/tex]

Step-by-step explanation:

Given: A graph with an equation of line having two points (1,6) and (-6, -3)

We have to find the slope of the given line in graph and choose the correct from the given options.

Consider the two points (1,6) and (-6, -3).

Slope between two points can be calculated using the formula as,

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here, [tex]\left(x_1,\:y_1\right)=\left(1,\:6\right),\:\left(x_2,\:y_2\right)=\left(-6,\:-3\right)[/tex]

Thus, Slope is

[tex]m=\frac{-3-6}{-6-1}=\frac{9}{7}[/tex]

Thus, The slope of line shown in given graph is [tex]\frac{9}{7}[/tex]

If 15 workers can paint 18 houses in 24 days how many days will 40 workers take to paint 22 house

Answers

i think the answer would be 4

What is the greatest perfect square that is a factor of 756?

Answers

To find the greatest perfect square that is a factor of 756, we first find the factors of 756.
Factors of 756 are: 1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Now we start to find the perfect square from the greatest factors;
756 = not perfect square
378 = not perfect square
252 = not perfect square
189 = not perfect square
126 =not perfect square
108 =not perfect square
84 = not perfect square
63 = not perfect square
54 = not perfect square
42 = not perfect square
36 = perfect square = 6 x 6 = 6² = 36
So, 36 is the greatest perfect square from the factors of 756.

Suppose it took 12 riders a total of 11 days 21 hours to ride from St.joseph to Sacremento. If they all rode the same number of hours how many hours did each rider ride

Answers

285 hours because there is 264 hours in 11 days and then you just add the 21 to the 264 because they're asking how many hours did each rider ride individually, not all together.

Line SV is an angle bisector of angle RST if angle RSV = (3x+5) and angle RST = (8x-14) find x

Answers

SV splits RST into 2 equal sections.

so RST = 2 * RSV

8x - 14 = 2(3x + 5)
8x - 14 = 6x + 10
8x - 6x = 10 + 14
2x = 24
x = 24/2
x = 12 <===

Answer:

x=12

Step-by-step explanation:

Line SV is an angle bisector of angle RST

<RSV = <VST

Both angles are equal

m<RSV = (3x+5)

<RSV = <VST, so m<VST = (3x+5), m<RST= 8x-14

m<RST= m<RSV +m<VST

[tex]8x-14= 3x+5+3x+5[/tex]

Combine like terms and solve for x

[tex]8x-14= 6x+10[/tex]

Subtract 6x from both sides

[tex]2x-14=10[/tex]

Add 14 on both sides

[tex]2x=24[/tex]

Divide both sides by 2

x=12

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