if a ball is rolling down hill and accelerating at a rate of 2m/s^2 because of a 2N net force. What is the mass of the ball?

Answer:

x = 114°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus

x + 18° = 132° ( subtract 18° from both sides )

x = 114°

The value of angle x in the triangle will be equal to 114°.

When one side of a triangle is extended, an external angle of the triangle is created. The external angle of the triangle is the non-straight angle (the one that is not simply the extension of the side) that is outside the triangle but close to an interior angle.

Given that a side of the triangle below has been extended to form an exterior angle of 132°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus

x + 18° = 132° ( subtract 18° from both sides )

x = 114°

Therefore, the value of angle x in the triangle will be equal to 114°.

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There are 13 elements of the sample space that will have a green ball.

The various ways in which objects from a set may be selected, generally without replacement, to form subsets.

Since, when a green ball is drawn, three coins are tossed. So, sample points are  OHHH, OHHT, OHTH, and OHTT. OTHH, 0THT, OTTH, OTTT

So, clearly, 9 sample points will have an orange ball.

When a blue ball is drawn, two coins are tossed. So, sample points are BHH, BHT, BTH, and BTT.

So, clearly, 4 sample points will be when a blue ball is drawn.

Total samples points=4+9=13

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Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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The range of the function for this situation is the interval [398.25, 400] gallons.

To determine the range of the function f(x) = 400 - 0.35x for the given situation, we need to find the possible values of the amount of water remaining in the pool.

The function f(x) represents the amount of water remaining (in gallons) after x minutes, where x ranges from 0 to 5.

To find the range of the function, we evaluate f(x) for the extreme values of x in the given range (0 to 5).

For x = 0, the initial amount of water remaining:

f(0) = 400 - 0.35(0) = 400 gallons

For x = 5, the amount of water remaining after 5 minutes:

f(5) = 400 - 0.35(5) = 400 - 1.75 = 398.25 gallons

Therefore, the range of the function for this situation is the interval [398.25, 400] gallons.

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Answer:

someoeneenennene willlll heelellelelleep yyouuouou

Step-by-step explanation:

stan kim namjoon

Answer:

27

Step-by-step explanation:

i think this is the correct answer. To work out this question i  did 100-64, so that i could find the percentage, which was 36 and then i did 36 percent of 75 which got me to 27.

Answer:

y= 30 x=15

set up your proportions for example 9/6 to y/20 and 9/6 to x/10 and then cross multiply

When something decreases by 15.7%, the growth factor is about 1.182 and when something decreases by 0.12%, the growth factor is about 1.00012.

In math, what is the definition of multiplying?

Multiplication is a mathematical process that shows the amount of times a number has been added to itself. It is represented by the multiplication symbols (x) or (*). Division is a mathematical process that shows how many equal amounts add up to a given quantity.

If something decreases by 15.7%, the increase in the factor is 100 / (100 - 15.7) Equals 1.182.

As a result, when something decreases by 15.7%, the growth factor is about 1.182.

When something falls by 0.12%, the expansion factor is 100 / (100 - 0.12) = 1.00012.

As a result, when something decreases by 0.12%, the growth factor is about 1.00012.

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Give an example of a proportion that uses the numbers 2, 3, 4 and 6.

2:3 is the same as 4:6

Proportion says that two ratios (or fractions) are equal.

Answer:

the correct answer would be B

Step-by-step explanation:

I jus did the tes

The limit as n approaches infinity of (1+1/n)^n is equal to e, the base of the natural logarithm, which is approximately 2.71828.

To evaluate the limit lim(n→∞) (1+1/n)^n, we recognize that it is in the form of a well-known limit expression that defines the mathematical constant e. As n approaches infinity, the expression converges to the value of e.

The limit expression is derived from the definition of the exponential function e^x. The expression (1+1/n)^n is equivalent to (1+(1/n))^n, which closely resembles the form e^x, where x = 1/n. As n becomes larger and approaches infinity, 1/n becomes smaller, and (1+1/n)^n approaches e^x.

Therefore, the limit lim(n→∞) (1+1/n)^n evaluates to e, the base of the natural logarithm, which is approximately 2.71828. This is a fundamental result in calculus and demonstrates the relationship between exponential functions and the constant e.

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Answer:

Step-by-step explanation

Answer: 35.0

Step-by-step explanation:

) 7/10 = 0.7

) tam(0.7)

) -> 35.0

John Proctor is one of the most significant and complex characters in Arthur Miller's The Crucible, a drama set in 1692 Salem, Massachusetts, during the witchcraft hysteria.

In at least 150 words, we will examine the changes that occur in John Proctor's character from the beginning of the play to the end. John Proctor is a farmer and the husband of Elizabeth Proctor. He is a respected member of Salem's society, but he has a dark past. His affair with Abigail Williams, a teenage girl, led to his wife firing Abigail from her job and made her angry with the Proctors. John Proctor is a man of pride who cares deeply for his family. However, his own sense of right and wrong, his morals, and his beliefs are put to the test as the witchcraft hysteria takes over Salem.

At the beginning of the play, John Proctor is a man of reputation and standing in Salem. His love for his wife Elizabeth is evident, yet he carries with him the guilt of his affair with Abigail Williams. He is distant from his wife, troubled by his actions in the past, and unwilling to forgive himself. John Proctor has reservations about the witchcraft trials, and he is hesitant to speak out against them, which leads to his eventual downfall. However, as the play progresses, he transforms from a guilty and ashamed man into one who is determined to set things right and stand up for his beliefs.

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Answer:

-900

Step-by-step explanation:

Answer:

X^2-6x+8 -X+2=0

X^2-7x+10=0

(X-5)(X-2)=0

Answer X= 5 and X=2

Step-by-step explanation:

Answer:

In order to do this we need to get a better picture as well as a line plot to do this on.

Step-by-step explanation:

we know that

The probability of losing the national treasure from A to Q is 0.02

so

The probability that not losing the national treasure from A to Q is 1-0.02=0.98

The probability that not losing the national treasure from Q to U is 1-0.04=0.96

The probability that not losing the national treasure from U to W is 1-0.05=0.95

The probability that not losing the national treasure from W to Z is 1-0.03=0.97

therefore

The probability that not losing the national treasure from A to Z is equal to

P=0.98*0.96*0.95*0.97

Correct Question is:

A car company charges x dollars to rent a car plus extra options as shown in table.

Car seat = 50 $

Insurance = 75 $

Car Wash = 15 $

Three people each rented a car with insurance and one more person rented a car with a car wash. What is the expression for the total cost?

Step-by-step explanation:

3 people rented with insurance = (x + 75) * 3) = 3x +225

one person rented with car wash = (15+x)

Total car rental will be adding both equations = 3x +225 + 15 + x = 4x + 240

Answer:

Step-by-step explanation:

Front and back

Givens

base = 6 feet

height = 2

Formula

Area = 1/2 B * h

Area = 1/2 * 6 * 2

Area = (2) 1/2 * 12

Area = 12 square feet for both front and back

Base

The base is a rectangle. A rectangle has the formula of  Area =  L*w

Givens

L = 10 feet

W = 6 feet

Area = 10 * 6 = 60

Left roof

The left roof is also a rectangle. Area = L*w

Givens

L = 10 feet

W = 3 feet

Area = 3 * 10 = 30 feet^2

Right Roof

The right roof is a rectangle. Area = L*w

Givens

L = 10 feet

w = 4 feet

Area = 4 * 10 = 40 ft^2

Total area

Total Area = right roof + left roof + Base + front and back

Total Area = 40 + 30 + 60 + 12

Total Area = 142 feet ^2

The proportional relationship is y = 3x.

What is the proportional relationship?

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

Here, we have

Given:

x:  2, 6, 8, 10

y:  6, 18, 24, 30

We have to find the proportional relationship between x and y.

So, we can see from inspection and visual observation that there is a proportional relationship between x and y.

6 = 3  2,  18 = 3  6, 24 = 3  8, 30 = 3  10.

Hence, The proportional relationship is y = 3x.

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Answer:

yes that's the answer because the volume of a cylinder= πr²h and the volume of a cone =1/3πr²h

Answer:

vertex = (1, - 5 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = (x - 1)² - 5 ← is in vertex form

with (h, k ) = (1, - 5 ) ← vertex

In the presence of outliers in a sample, the statement that is always true is d. Standard deviation is larger than expected (larger than if there were no outliers).

Outliers are extreme values that are significantly different from the other data points in a sample. These extreme values have a greater impact on the standard deviation compared to the mean or median. As a result, the standard deviation increases when outliers are present. Therefore, option d is the correct answer.

To summarize, when outliers are present in a sample, the standard deviation is typically larger than expected, while the relationship between the mean and median can vary and is not always predictable.

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The radius of the curved path of the car such that it is not skidding is 51.2 meters.

A car is moving in a curved path at constant speed. By Newton's laws and equation of friction, we find that the square of the car's speed (v), in meters per second, is directly proportional to the radius of the curve path (s) and to the coefficient of friction (μ), no unit:

v² = k · R · μ

Where k is the constant of proportionality.

If we know that R = 40 m, v = 4√10 m / s, μ = 0.4, v' = 10 m / s, μ' = 0.5, then the resulting radius is:

v'² / (μ' · R') = v² / (μ · R)

10² / (0.4 · 40) = (4√10)² / (0.5 · R)

0.5 · R = (4√10)² · (0.4 · 40) / 10²

0.5 · R = 128 / 5

R = 256 / 5

R = 51.2 m

The radius of the curved path is 51.2 meters.

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Answer:

6%

Step-by-step explanation:I

I'm going to assume that the interest is compoudning anually and there was only one payment

we know that

FV=PV(1+i)^N

which means taht

25560=18000(1+i)^6

Solve for i and get .06 or 6%

Answer:

10

Step-by-step explanation:

10 and 8 would be in between 10 and 9 hope this can help

The normal approximation to the binomial distribution may not be appropriate since the number of trials is small (10) and the success probability is relatively far from 0.5 (0.42). The conditions for the normal approximation are not met in this scenario.

Using the normal approximation to the binomial distribution may be appropriate in this case. The normal approximation assumes that the binomial distribution is approximately symmetrical and the sample size is sufficiently large. However, certain conditions should be met for the approximation to be valid:

The number of trials, n, should be large enough (usually greater than or equal to 20) to satisfy the Central Limit Theorem.

The probability of success, p, should not be extremely close to 0 or 1. A rule of thumb is that np and n(1-p) should both be greater than or equal to 5.

In this scenario, the number of trials is 10, which is smaller than the recommended threshold for the Central Limit Theorem. Additionally, the success probability is 0.42, which is relatively close to the extremes of 0 or 1. Therefore, using the normal approximation may not be the most appropriate strategy. Instead, it would be better to use the binomial probability formula or consult binomial tables to compute the probability of 5 or fewer successes directly from the binomial distribution.

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The minimum size of a cut where size is number of edges in the cut, for a graph that has more than one connected component is 1.

In graph theory, a bridge, also known as a cut-edge, is a fundamental concept that refers to an edge in a graph that has the property of disconnecting the graph when it is removed. This means that when an edge is considered a bridge, the removal of that edge would result in an increase in the number of connected components in the graph. The importance of bridges in graph theory lies in the fact that they provide a way to break down a complex graph into smaller, simpler components that can be analyzed and understood individually. Bridges can be found in many different types of graphs, including undirected graphs, directed graphs, and weighted graphs. It is also important to note that in a graph with more than one connected component, there must exist at least one bridge, meaning that the minimum size of a cut in a graph is 1. This is because a bridge is the edge that separates the graph into two or more separate components.

The minimum size of a cut in a graph is 1. This occurs in the case of a "bridge", where removing a single edge from the graph would result in two separate connected components. In any graph with more than one connected component, there must exist at least one bridge, meaning that the minimum size of a cut is 1.

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The probability that the student makes it to the second class before it starts is very close to 0.

To find the probability that the student makes it to the second class before it starts, we can use the concept of linear combinations of random variables and the properties of normal distributions.

Let's define the random variable X as the total time it takes for the student to transition from the end of the first class to the start of the second class. Since X is a linear combination of independent normally distributed random variables (X1, X2, X3), we can use their means and variances to calculate the mean and variance of X.

The mean of X is the sum of the means of X1, X2, and X3:

μX = μ1 + μ2 + μ3 = 9:02 + 9:15 + 10 = 28:17 minutes.

The variance of X is the sum of the variances of X1, X2, and X3:

σX^2 = σ1^2 + σ2^2 + σ3^2 = (2.5)^2 + (3)^2 + (2.5)^2 = 15.25 minutes^2.

Now, we need to calculate the probability that X is less than or equal to 0, meaning the student arrives before the second lecture starts. Since X follows a normal distribution, we can standardize the variable and calculate the probability using the standard normal distribution table.

Z = (0 - μX) / σX = (0 - 28:17) / √15.25 ≈ -9.43.

Using the standard normal distribution table or a calculator, we can find the probability corresponding to Z = -9.43. The probability is essentially 0, as the value is significantly far in the left tail of the standard normal distribution.

Therefore, the probability that the student makes it to the second class before it starts is very close to 0.

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