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The object continues to roll without slipping, and the actual force of static friction stays constant.

A force that holds an object at rest is called static friction.

The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across.

The range of static friction is 0 to the minimum force required to initiate motion.

The following is the formula to determine static friction: Normal Force x Static Friction Coefficient = Static Friction.

So, in the given situation the object keeps rolling without slipping, and the static friction's actual force remains constant.

Therefore, the object continues to roll without slipping, and the actual force of static friction stays constant.

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Answer:

80

Step-by-step explanation:

the easy way to convert mi/hr to feet/s is multiply the speed value by 1.467

\(60 \times 1.467 = 88.02 = 88 \: (approx)\)

A 24U rack is approximately 44.5 inches (113.03 cm) tall.

What is Expression in math ?

An expression is made up of one or more integers or variables, as well as one or more operations.

The "U" unit in a rack height refers to unit of measurement for the height of equipment in a standard 19-inch server rack.

1U is equal to 1.75 inches (4.45 cm)

so, 24U is equal to 24 * 1.75 inches = 42 inches (106.68 cm).

However, in practice, the height of a 24U rack is typically slightly taller to account for the height of the mounting brackets and other hardware.

Hence, A 24U rack is approximately 44.5 inches (113.03 cm) tall.

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Answer:

None

Step-by-step explanation:

because Vernon has no friends to play them with

Answer:

Evaluate.

15.91828182 = 289.47

Answer: D

Step-by-step explanation:

Use SOHCAHTOA

We are given the opposite of the angle and the hypotenuse. We can use the sine function to acquire the value of x°.

sin(x) = 7/13

Take the inverse sine on both sides by using a calculator to get:

x = 32.58°

Answer:

32.58° that the answer hope this helps

Answer: 360

Step-by-step explanation:

done

Answer:

No I won't.....

But OK let's help.... Will earn some good deeds

Isn't the ans 12??

Yes it's........... 12cm

The values of the three angles in the given triangle are; B = 14.583°;

A = 77.917°; C = 87.5°

We are told that the measure of angle C is six times the measure of angle B. Thus, this can be expressed as;

C = 6B

We are told that 4 times angle A is 20 more than 20 times angle B. Thus, this can be expressed as;

4A = 20B + 20

Divide through by 4 to get;

A = 5B + 5

No, we know that sum of angles in a triangle is 180°. Thus;

5B + 5 + B + 6B = 180

12B + 5 = 180

12B = 180 - 5

12B = 175

B = 175/12

B = 14.583°

A = 5(175/12) + 5

A = 77.917°

C = 6 * 175/12

C = 87.5°

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Answer:

m = 20

Step-by-step explanation:

......................

Answer:

The answer of the questionis m=20

Answer:

F. (0, 5) and (-4, 2)

Step-by-step explanation:

We need to calculate the slope of each of the given sets of points until we find the set associated with a slope of 3/4:

F. (0,5) and (-4,2) As we go from (-4, 2) to (0,5), x increases by 4 and y increases by 3, so the slope is m = rise / run = 3/4. This is the line with slope 3/4.

The number of Hopper's steps that is equivalent to one of Skipper's jumps is given as follows:

2.45.

The situation can be modeled by a system of equations.

The variables for the system of equations are given as follows:

Hopper takes three jumps, he lands in the same place as Skipper does when she takes 4 jumps, hence:

3x = 4y.

x = 4/3y.

When Hopper takes six jumps and nine steps, he lands in the same place as Skipper does when she takes nine jumps, hence:

6x + 9z = 9y.

Replacing x = 4/3y on the second equation, we have that:

4(4/3y) + 9z = 9y.

9z = 9y - 16/3y

9z = 27/3y - 16/3y

9z = 11/3y

y = 27/11z

y = 2.45.

Meaning that 2.45 of Hopper's steps are equivalent to one of Skipper's jumps.

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Each side of cube is 100 cm.

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

Given that,

Volume of cube = 1 cubic meter

We know that,

1 m = 100 cm

Also  volume of cube = \(a^{3}\)

Then,

Volume of cube = 1000000 cm

                   \(a^{3}\)  = \(100^{3}\)

                   a = 100 cm

Hence, Each side of cube is 100 cm.

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Answer:

y = 3(x-1) + 3

This is because the 1 equals h in this equation and 3 equals k, which will give you the point (1,3)

Let Xk be independent and normally distributed with common mean 22 and standard deviation 11 (so their common variance is 1.1.). The value of p(-[infinity] ≤ ∑k=181 Xk ≤ 172.89) ≈ 0.0265.

The common variance of independent and normally distributed random variables with a common mean can be computed with the formula

σ² = Var[Xk]

= 1.1.

This can be solved by finding the standard deviation, which is equal to the square root of the variance as

σ = sqrt(1.1)

= 1.0488.

The sum of the independent and identically distributed normal random variables can be expressed as a normal random variable with a mean equal to the sum of the individual means and a variance equal to the sum of the individual variances.

Thus, we can express this random variable as ∑k=181 Xk ~ N(22 * 181, 1.1 * 181).

To solve the given problem, we need to compute the probability that the sum of the random variables lies between -infinity and 172.89.

Since the sum of normal random variables follows the normal distribution, we can standardize the sum by subtracting the mean and dividing by the standard deviation.

Let Z be the standardized random variable.

Then Z = (X - μ)/σ

Z = (∑k=181 Xk - μ)/σ, where μ = 22 * 181 and σ = sqrt(1.1 * 181).

We need to compute P(-infinity ≤ Z ≤ (172.89 - μ)/σ) = P(Z ≤ (172.89 - μ)/σ) .

Since the standard normal distribution is symmetric about zero.

This can be solved using standard normal tables or a calculator to obtain P(Z ≤ -1.9309) ≈ 0.0265 (rounded to four decimal places).

Therefore, p(-[infinity] ≤ ∑k=181 Xk ≤ 172.89) ≈ 0.0265 (rounded to four decimal places).

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Answer:

equation: 320+x=360, answer: 40

Step-by-step explanation:

add 100,200 and 100 to get 320

360-320=40

x=40

Answer:

They're parallel because the first part of the equations have the same numbers/variables (can see down below in bold). This tells us whether or not it's parallel. There's no need for any calculations due to this.

5x - 2y = 2

and

5x - 2y = 8

The answer of the equations doesn't affect it, only is they're the same number. Then it becomes overlap.

For Example:

5x - 2y = 9

and

5x - 2y = 9

they're the same, meaning overlap.

Answer:

41,1 I installed the solution. good work

The preparation of the stockholders' equity statement for the year ended December 31, 2021, is as follows:

Court Casuals

Statement of stockholers' equity

December 31, 2021

Common Stock                        $116,000

Additional Paid-in Capital  $5,326,000

Retained Earnings              $3,677,000

Treasury Stock                         $-2,000

Total stockholders' equity  $9,117,000

The stockholders' equity statement includes the common stock, additional paid-in capital, retained earnings, and the subtraction of the treasury stock.

Court Casuals

Stockholers' equity on January 1, 2021

Common Stock $90,000

Additional Paid-in Capital $4,100,000

Retained Earnings $3,000,000

Net income for the year, 2021, = $900,000

May 18: Cash $1,300,000 Common Stock $26,000 Additional Paid-in Capital $1,274,000 (26,000 x $50 - $26,000)

May 31: Treasury Stock $4,500 Additional Paid-in Capital $175,500 (4,500 x $40 - $4,500) Cash $180,000

Jul 1: Cash Dividend $223,000 (90,000 + 26,000 - 4,500) x $2 Dividends Payable $223,000

July 31: Dividends Payable $223,000 Cash $223,000

August 18: Cash $130,000 Treasury Stock $2,500 Additional Paid-in Capital $127,500 (2,500 x $52 - $2,500)

Statement of Retained Earnings, December 31, 2021:

Beginning balance  $3,000,000

Net income                 $900,000

Dividends                     -223,000

Ending balance        $3,677,000

Beginning balance  $90,000

May 18: Cash              26,000

Ending balance       $116,000

Beginning balance  $4,100,000

May 18: Cash              1,274,000

May 31: Cash                -175,500

August 18: Cash            127,500

Ending balance      $5,326,000

May 31: Cash                 $4,500

August 18: Cash             -2,500

Ending balance            $2,000

Thus, we can summarize from the stockholders' equity that Court Casuals has outstanding shares of 114,000 (116,000 - 2,000) at $1 par, which is the difference between the ending balances of the common stock and the treasury stock accounts, after reflecting the equity transactions for the year.

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Answer:

$0.56, or 56¢.

Step-by-step explanation:

According to the picture, there are two dimes, two nickels, a penny, and a quarter.

A penny is worth $0.01.

A nickel is worth $0.05.

A dime is worth $0.10.

A quarter is worth $0.25.

2(0.1) + 2(0.05) + (0.01) + (0.25) = 0.2 + 0.1 + 0.01 + 0.25 = 0.3 + 0.26 = 0.56.

So, Vivian is using $0.56, or 56¢, to buy a toy. That's a cheap one!

Hope this helps!

Answer:

\(y - 5 = -4(x-5)\)

Step-by-step explanation:

Given

Line coordinates: (5,5)

Perpendicular slope = \(\frac{1}{4}\)

Required

Find the point slope form of the line

First, the slope of the line has t be calculated;

Given that two lines are perpendicular;

The relationship between there slopes is given as \(m_1.m_2 = -1\)

Let m_2 represent the slope of the second line;

such that \(m_2 = \frac{1}{4}\)

So;

\(m_1 * \frac{1}{4} = -1\)

Multiply both sides by 4

\(m_1 * \frac{1}{4} * 4 = -1 * 4\)

\(m_1 = -1 * 4\)

\(m_1 = -4\)

Now, the equation of the line can be calculated using slope formula;

\(m = \frac{y - y_1}{x- x_1}\)

Where

\((x_1,y_1) = (5,5)\\m_1 =m = -4\)

So; \(m = \frac{y - y_1}{x- x_1}\) becomes

\(-4 = \frac{y - 5}{x- 5}\)

Multiply both sides by x - 5

\(-4(x-5) = \frac{y - 5}{x- 5} * (x-5)\)

\(-4(x-5) = y - 5\)

Reorder

\(y - 5 = -4(x-5)\)

Hence, the line in point-slope form is \(y - 5 = -4(x-5)\)

Answer:

maybe 12 because

Step-by-step explanation:

30/25=1.2

10×1.2=12

Answer:

200-300= -100

Step-by-step explanation:

hope u get it

Answer:

1. How are you in high school if you don't know how to solve simple equations like 200-300?

2. 200-300= -100

Step-by-step explanation:

Hope that this helps! :)

I think 45

Step-by-step explanation:

120-30=90

90 pieces are gone and divide that by two for each friend

90÷2=45 so he has 45 friends?

A scientific hypothesis is a proposed explanation or prediction based on limited evidence or prior knowledge, which is subject to further investigation and testing.

A guess is a speculative, unsupported statement without any logical basis, whereas a hypothesis is an educated assumption derived from existing knowledge, observations, or theories. Unlike a guess, a hypothesis is testable and can be supported or refuted by evidence gathered through scientific methods.

Scientists need a hypothesis to provide a framework for their research and guide their investigations. It helps them define the specific question they want to answer and provides a starting point for designing experiments or making observations. By formulating a hypothesis, scientists can systematically evaluate and analyze data, ultimately leading to a deeper understanding of the phenomenon under investigation.

There are indeed scientific hypotheses that cannot be directly tested or proven due to practical or ethical constraints. For example, hypotheses related to historical events that occurred in the distant past may not have accessible evidence for direct testing. Additionally, some questions related to consciousness, subjective experiences, or philosophical concepts may lie beyond the scope of scientific inquiry, as they may not be objectively measurable or observable.

While science has its limitations, it is a powerful tool for investigating and understanding the natural world. However, there are questions that fall outside the realm of scientific inquiry and require other methods of investigation, such as philosophical or ethical considerations.

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The complete factored form of f(x). f(x) = - 2x^3 + 3x^2 + 39x - 20 is f(x) = -2(x+4)(x-1/2)(x-5).

A quadratic expression written as a constant product of two straight lines is called a factored form. An example of the quadratic form is y = ½(x-6)(x + 2). We can analyze this form and find the vertices to find the x-intercept of the graph.

To write the complete factored form of f(x) using the given zeros, we can use the following expression:
f(x) = -2(x + 4)(2x - 1)(x - 5)
Here, the zeros are -4, 1/2, and 5, and each term represents a factor (x + 4, 2x - 1, x - 5). The -2 at the beginning is to maintain the original leading coefficient of the polynomial.

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Answer: 135

Step-by-step explanation:

Counting by 5 The last point at the end of the box and whisker plot is 135

Answer:

10=.50n+1.50

Step-by-step explanation:

The total cost, c, of n chicken wings can be represented by a system of equations as follows c = 0.50n + 1.50

c = total cost

n = number of chicken wings

Therefore,

The cost of chicken wing at restaurant Z is $0.50 per wings plus a one time $1.50 charge for sauce.

The system of equation that represent the system is as follows:

c = 0.50n + 1.50

The one time fee for sauce is just like a constant in the equation.

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the answer is 5.3

50 goes into 260 5.2 times you now have 5 letft if you add a 0which will give you .1 because 50 goes into 50 once give you 5.2 + .1 = 5.3

hope this helps :)