Where would a car traveling up a hill have the most potential energy?

A. At the bottom
B. Halfway to the top
C. At the top
D.Halfway to the bottom
E. it is always the same

Answer:

The answer is x=-7.25

Step-by-step explanation:

Answer:

60 Pages.

Step-by-step explanation:

Using the given information, we can figure out that the remaining 36 pages are 60% of the book.

This is because 100% (whole book) - 40% (what you already read)= 60%= the remaining 36 pages

We can set up a problem to find 36 pages out of how many total pages is equal to 60%

(36/x) x 100 = 60%

=3600/60

=60 pages.

We can check our work by saying checking that 40% of 60 is 24, and 24+36 is 60 pages.

Answer: 81 is the answer but it says what scores so you might be able to put 81 and above for example 82 83 84 and so on.

Step-by-step explanation:

If you add 91 93 and 95 you should get 279 then subtract 279 from 360 which will get u the answer which is 81 simple right now please giva a thanks like and rating if you found this helpful.

Answer:

the answer is A 3 to 2

Step-by-step explanation:

but if it's wrong I'm sorry but if it's right I'm happy for you

Answer:

180 cups of hot chocolate and 95 cups of coffee

Step-by-step explanation:

multiply the cups by the price and add them together and it adds up to the total sales they got

1. plug in the values

3(2) - (-1) = 7; true

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

4 -3 = 1; true

yes, the point is true for the system. .

2.

the solution is referring to where both the lines intercept on the graph.

3. replace 'y' in the first equation with the second equation

3x + 6x + 1 = 10

9x + 1 = 10

9x = 9

x = 1

plug x = 1

y = 6(1) + 1

y = 7

(1,7)

4. elimiate the common terms which is 'n' which gives;

5m = -5

m = -1

plug in to find 'y' AKA 'n'

3(-1) - n = 2

-3 - n = 2

-n = 5

n = -5

I can futher explain if you'd like, let me know.

Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

No, your friend is not correct in this case. The Transitive Property of Segment Congruence states that if two segments are congruent to a third segment, then they are congruent to each other. This is not the case in the given figure.

Segment congruence is the study of congruence between two line segments. It is a branch of geometry where the lengths of two line segments are compared to determine if they are equal or not.

The given figure shows that {SR}\{CB}$ and {AC}\{QR}$. This means that segment SR is congruent to segment CB and segment AC is congruent to segment QR, but this does not imply that CB is congruent to AC. In fact, the given figure does not provide enough information to determine whether CB and AC are congruent or not.

Therefore, your friend is not correct in claiming that {CB}{AC}$ by the Transitive Property of Segment Congruence. In order to determine whether CB and AC are congruent, additional information about the figure is needed.

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No, your friend is wrong in this case. The transitive property of segment congruence states that if two segments are congruent with a third segment, they are also congruent with each other.

Segment congruence is the study of congruence between two line segments. This is the branch of geometry that involves comparing the lengths of two line segments to determine if they are equal.

The given figure shows that SR ≅ CB and AC ≅ QR.

This means that,

segment SR ≅ segment  CB

segment AC ≅ segment QR,

But that doesn't mean that CB is congruent with AC. In fact, the given figure does not provide enough information to decide whether CB and AC are congruent.

So your friend who claims that CB ≅ AC by the transitive nature of segment congruence is incorrect. Additional information about the diagram is needed to determine if CB and AC are congruent.

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The complete question is as follows:

The probability of pulling a red marble two times in a row when each marble has equally chance of being pulled would be = 5/7 multiplied by 4/6. That is option B.

Probability is defined as the expression that shows the possibility of an outcome of an event which is likely or not likely to occur.

The total number of marbles in the bag = 7 marbles

The total number of red marbles = 5

The total number of blue marbles = 2

After the first pull the probability = 5/7

After the second pull = 4/6 ( there is subtraction of a red marble from the total after the first pull making it 4 red marbles and 6 total).

Therefore, the probability of pulling a red marble two times in a row = 5/7× 4/6

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Answer:

40%

Step-by-step explanation:

The original is $20. It is now 12/20 is ?/100

12*100=1,200/20=60     100-60=40%

Answer:

D. 40%

Step-by-step explanation:

Percent change refers to how much, as a percentage, a quantity increases or decreases. The formula for percent change is \(\frac{FV-IV}{IV} * 100 = PC\). Keep in mind percent change is not negative, but can be written as 40% decrease or 40% increase.

We are being asked to find the percent change, or the change in the price of the sweater from $20 to $12. Thus, we will have to use the aforementioned formula. $20 is the initial value and $12 is the final value.

Solving for Percent Change

Step 1: Plug in values.

Step 2: Simplify.

Therefore, the answer is D. 40%.

The predicted mean amount of natural gas Joan will use per day in a month with a mean temperature of 30°F is approximately 828.9 cubic feet.

To predict the mean amount of natural gas Joan will use per day in a month with a mean temperature of 30°F, we will use the given regression line equation: y^ = 1425 - 19.87x.

Step 1: Substitute the value of x (mean temperature) with 30.
y^ = 1425 - 19.87(30)

Step 2: Perform the calculations.
y^ = 1425 - 596.1

Step 3: Simplify the equation.
y^ = 828.9

So, the predicted mean amount of natural gas Joan will use per day in a month with a mean temperature of 30°F is approximately 828.9 cubic feet.

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Answer:

Q10ii: x axis horizontal, y axis vertical, a straight line through the origin and point (5,20)

Q11i: z = 8y

Q11ii: y axis horizontal, z axis vertical, a straight line through the origin and (6,48)

Step-by-step explanation:

Linear proportions will always produce straight lines when graphed. Also, they will have to go through the origin when there is not some kind of offset.

Given:D = 13.5h; Crystal's weekly pay can also be represented by a linear function.D for 4 different numbers of hours:| h | D | | 12 | 110 | | 14 | 128 | | 16 | 146 | | 18 | 164 |.

The problem tells us that Crystal's weekly pay can also be represented by a linear function, so we know that the formula for a linear function is y = mx + b, where m is the slope and b is the y-intercept. To find this function, we need to find the values of m and b.We can use any two of the given (h,D) pairs to find m and b. Let's use the first and last pairs:Using the first and last pairs:For the first pair, h = 12 and D = 110. Plugging these values into the equation, we get:110 = 12m + bSimplifying, we get:12m + b = 110For the last pair, h = 18 and D = 164.

Plugging these values into the equation, we get:164 = 18m + bSimplifying, we get:18m + b = 164Now we have two equations with two variables, which we can solve by elimination:12m + b = 11018m + b = 164Subtracting the first equation from the second, we get:6m = 54Dividing both sides by 6, we get:m = 9Now that we know m, we can plug it into either of the original equations to find b. Let's use the first equation:12m + b = 11012(9) + b = 110Simplifying, we get:b = 2Now we have the slope and y-intercept, so we can write the function:y = mx + by = 9h + 2To summarize, Crystal's weekly pay can be represented by the linear function:y = 9h + 2.

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Answer:

0

Step-by-step explanation:

The slope formula is [ y2-y1/x2-x1 ]

We can use the given points to solve.

0-0/2-(-4)

0/6

0

Best of Luck!

Caroline's age is 21 years which is an odd integer.

Integers are a subset of real numbers.

It is given that Caroline is the youngest of 4 siblings and all of their ages are odd consecutive integers.

Let us consider the age of Caroline's age to be x years(x is an odd integer).

She is the youngest so the sibling's age who is just older than Caroline is given by x+2 which is also another odd integer.

Ages of the other two siblings will be x + 4 , x + 6 .

Now sum of their ages is 96.

Therefore: x + (x+2) + (x+4) + (x+6) =96

or, 4x + 12 = 96

or, 4x = 84

or, x = 21 (odd integer)

Carline's age is 21 years.

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Answer:

V=1.3(repeating)A+1.3(repeating)M

Check the picture below.

\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)

Answer:

(2, -5/2)

Step-by-step explanation:

We can easily find the midpoint of this line using the midpoint formula. Although we can just find it by looking at the graph, let's try finding the midpoint using the formula to make sure we are correct.

\((\frac{x1+x2}{2}), (\frac{y1+y2}{2} )\)

\((\frac{2+2}{2}),(\frac{4+(-9)}{2})\\\\\\(\frac{4}{2}), (\frac{-5}{2})\\\\\\(2, \frac{-5}{2})\)

Answer:

11

Step-by-step explanation:

Answer:

X=1 Hope this helps you :) please brainliest

Step-by-step explanation:

(a) To find the proportion of trees that are more than a certain height, we need to calculate the area under the normal distribution curve to the right of that height. To do this, we can use a standard normal distribution table or a calculator.

First, we need to standardize the height by subtracting the mean and dividing by the standard deviation. Let's assume the mean height is μ inches and the standard deviation is σ inches.

Let X be a random variable representing the height of a cherry tree. We are given that X follows a normal distribution with mean μ and standard deviation σ.
To find the proportion of trees that are more than a certain height, let's say x inches, we can calculate the z-score using the formula:
z = (x - μ) / σ

Once we have the z-score, we can use a standard normal distribution table or a calculator to find the proportion of values that are greater than that z-score. This will give us the proportion of trees that are more than x inches tall.

(b) To find the proportion of trees that are less than a certain height, we can follow a similar approach. We calculate the z-score using the formula:
z = (x - μ) / σ
Then, we can use a standard normal distribution table or a calculator to find the proportion of values that are less than that z-score. This will give us the proportion of trees that are less than x inches tall.

(c) To find the probability that a randomly chosen tree is between two heights, let's say a inches and b inches, we need to calculate the area under the normal distribution curve between those two heights. We can do this by calculating the z-scores for both heights using the formula:
z1 = (a - μ) / σ
z2 = (b - μ) / σ
Once we have the z-scores, we can use a standard normal distribution table or a calculator to find the proportion of values that are between those two z-scores. This will give us the probability that a randomly chosen tree is between a and b inches tall

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Answer:

C) 360,000cm

Step-by-step explanation:

50x 40x 1.8 = 360,000

Answer:

A

Step-by-step explanation:

There are six equally likely outcomes when rolling a six-sided die: 1, 2, 3, 4, 5, or 6.

Since we want to find the probability of rolling a 3 or a 4, we can count the number of favorable outcomes, which is 2 (a 3 or a 4), and divide by the total number of possible outcomes, which is 6. So the probability of rolling a 3 or a 4 is 2/6 or 1/3, which is approximately 0.333 or 33.3%.

The equation of parabola will be x² = 3y.

A parabola is a curve which forms by joining all the points which are at an equal distance from a fixed point (the focus) and a fixed straight line (the directrix).

Given is a parabolic headlamp has a bulb placed at the focus. A cross-section of the parabola is 6 cm deep and 12 cm wide.

The general equation of a parabola that opens up with vertex at the origin as -

x² = 4py

We have -

x = 6 cm

y = 12 cm

So, we can write -

36 = 4p x 12

4p = 3

p = 3/4

So the equation of parabola would be -

x² = 4py

x² = 4(3/4)y

x² = 3y

The equation of the parabola will be x² = 3y

Therefore, the equation of parabola will be x² = 3y.

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Answer:

b=y-mx

Step-by-step explanation:

the equation of the line is y = 4x - 12 with the slope being 4 and y-intercept is -12. The equation we used is b = y-mx

Answer:

The above I did in my word file and took screen shot and send it for u

Option D is a solution to the given differential equation. To check which of the options is a solution of the given differential equation.

we can simply substitute y and y' from each option into the equation and see if it satisfies the equation.

Let's begin with option A:

y = 14x – 8x^(-1)

y' = 14 + 8x^(-2)

Substituting these values into the differential equation xy' + y = 14x, we get:

x(14 + 8x^(-2)) + (14x - 8) = 14x

Simplifying this expression, we get:

14x + 8 - 8 + 14x(-1) = 0

This simplifies to:

14x - 14x = 0

Therefore, option A is not a solution to the given differential equation.

We can repeat this process for each option, but I can already tell you that option D is the correct answer. Here's the proof:

y = 14x + 8x^(-1)

y' = 14 - 8x^(-2)

Substituting these values into the differential equation xy' + y = 14x, we get:

x(14 - 8x^(-2)) + (14x + 8x^(-1)) = 14x

Simplifying this expression, we get:

14x + 8x^(-1) = 14x

Therefore, option D is a solution to the given differential equation.

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Since Triangle ABC is similar to triangle PQR. If AD and PM are altitudes of the two triangles, then option C:   \(\frac{AB}{PQ} = \frac{AD}{PM}\)

A triangle is a three-sided polygon with three vertices. The angles of the triangle are formed by the connection of the three sides end to end at a single point. The triangle's three angles add up to 180 degrees.

From the question, since  ΔABC ∼ Δ P QR, So we have, ∠ B been = ∠ Q

From the image attached:

 \(\frac{AB}{PQ} = \frac{BC}{QR}\)

Now in  ΔABD  and  Δ PQM

∠B = ∠Q

∠D=∠M

Hence: Δ A B D ∼ Δ P Q M

Therefore,

\(\frac{AB}{PQ} = \frac{AD}{PM}\)

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See full question below

Triangle ABC is similar to triangle PQR. If AD and PM are altitudes of the two triangles, then

a. AB/PM = AD/PQ

b. AB/PR = AD/PM

c. AB/PQ =AD/PM

d. AC/PQ=AD/PM

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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