ball is dropped from 10 feet off a surface with a coefficient of restitution of 0.9, how many bounces before it rises to less than 1 foot.

Answer:

1. -13 degrees

2. $12

3. 6 yards

4. 15 points

Step-by-step explanation:

1. -5 - 8 = -13

2. $100 - $88 = $12

3. 13 - 7 = 6

4. 10 x 2 = 20 - 5 = 15

The cost of goods sold for the year can be calculated by adding the beginning finished goods inventory to the cost of goods manufactured, and then subtracting the ending finished goods inventory.

Therefore, the cost of goods sold for the year for Branson Books is: $400,000 (beginning finished goods inventory) + $860,000 (cost of goods manufactured) - $990,000 (ending finished goods inventory) = $270,000.

This means that the total cost of goods sold for the year was $270,000. Cost of goods manufactured represents the total cost incurred by the company to manufacture the goods during the year. Beginning work-in-process inventory represents the cost of goods that were partially completed at the beginning of the year, while ending work-in-process inventory represents the cost of goods that were partially completed at the end of the year.

By subtracting the beginning work-in-process inventory from the total cost of goods manufactured and adding the ending work-in-process inventory, the cost of goods completed during the year can be calculated. This cost, when added to the beginning finished goods inventory, represents the total cost of goods available for sale. By subtracting the ending finished goods inventory, the cost of goods sold can be calculated. In this case, we have calculated the cost of goods sold for Branson Books to be $270,000.

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For the person to reach a retirement savings goal (future value) of $100,000 at age 55, they need to invest an additional $81 monthly.

The additional monthly investment is computed as the difference between the expected monthly deposits and the intended monthly deposits.

The expected monthly deposits (periodic payments) are determined using an online finance calculator.

Current age = 21 years old

Retirement age = 55 years old

Investment period = 34 years (55 - 21)

N (# of periods) = 408 months (34 years x 12)

I/Y (Interest per year) = 2.5%

Present Value = $0

FV (Future Value) = $100,000

Results:

Periodic Payments (PMT) = $155.75

Sum of all periodic payments = $63,546

Total Interest =  $36,454

Intended monthly deposits = $75

Additional monthly deposits required = $80.75 ($155.75 - $75) = $81

Thus, the investor needs to invest an additional $81 to the $75 monthly deposits to reach a future value of $100,000 in 34 years, compounded at 2.5% monthly.

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Answer:

3x/4

Step-by-step explanation:

Three quarters =3/4

3/4 of x = 3x/4

Answer:

3/4 times x

Step-by-step explanation:

of = multiply

4 quarters = 1 so subtract 1/4 quarter's and it equals 3/4 of x

To solve the equation g^(-1)(x) = 5x, we need to find the inverse function of g and then substitute it into the equation. The inverse function of g, denoted as g^(-1), can be found by interchanging the roles of x and y in the original function g(x). Once we have the inverse function, we substitute it into the equation and solve for x.

Let's denote the inverse function of g(x) as g^(-1)(x). To find g^(-1)(x), we interchange the roles of x and y in the original function g(x), so g^(-1)(x) = y.

Next, we substitute y into the equation g^(-1)(x) = 5x, which gives us y = 5x. Now, we replace y with g^(-1)(x), resulting in g^(-1)(x) = 5x.

To solve for x, we need to isolate x. We can do this by applying the inverse operation to both sides of the equation. Dividing both sides by 5, we obtain g^(-1)(x) / 5 = x.

Therefore, the solution to the equation g^(-1)(x) = 5x is x = g^(-1)(x) / 5.

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The solutions to the ratio problems are as follows:

1. Ratio of nonfiction to fiction 1:2

2. Number of hours rested is 175

3. Ratio of pants to shirts is 3:5

4. The ratio of medium to large shirts is 7:3

We can determine the ratio by expressing the figures as numerator and denominator and dividing them with a common factor until no more division is possible.

In the first instance, we are told to find the ratio between nonfiction and fiction will be 2500/5000. When these are divided by 5, the remaining figure would be 1/2. So, the ratio is 1:2.

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Using trigonometric functions, the value of cos O in simplest terms is 5/17.

So, we know that: cos α = Adjacent Side/Hypotenuse

We have,

As we know,

We obtain:

Therefore, using trigonometric functions, the value of cos O in simplest terms is 5/17.

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The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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Recall the definition of each concept to check if it fits the figure.

A) Square: A square is a quadrilateral whose sides all have the same length.

B) Polygon: A polygon is a 2D shape formed by non-intersecting straight segments.

C) Triangle: A triangle is a polygon with exactly 3 sides.

D) Polyhedron: A polyhedron is a 3D shape formed by flat polygonal shapes.

E) Pyramid: A pyramid is a polyhedron formed by a simple polygon whose lateral faces are triangles that converge in a common vertex.

F) Prism: A prism is a polyhedron formed by two parallel and equal polygonal faces, whose lateral faces are parallelograms.

The given object is a 3D shape formed by flat polygonal shapes, with a base that is a quadrilateral and whose lateral faces are triangles that converge in a common vertex.

Therefore, the only two terms that correcty describe the given object are:

D) Polyhedron

E) Pyramid

The dimensions of the rectangular page (in inches)  to be use the least amount of paper will be 8.37 inch and 4.18 inch.

A Rectangular shape is a four sided-polygon, having all the internal angles equal to 90 degrees or one right angle. The two sides at each corner meet at right angles. The opposite sides of the rectangle are equal in length.

Let, x width of the rectangular area that is to be printed

y height of the area that is to be printed.

Given that A rectangular page contains 35 square inches of print.

so  xy= 35 a constant-------------(1)[ by the formula of rectangular area]

we want to minimize.

f(x, y) = (x+4)(y+2)

        = xy+4y+2x+8

        = 35+8+4y+2x [putting the value from equation (1)]

       = 43+4y+2x

We have to minimize the function

   g(x, y)= 4y+2x

            = 4(35/x)+ 2x

            = 140/x+2x

Let us take h(x)= 140/x+2x

                  h'(x)= d/dx( 140/x+2x)

                          = -140/x² + 2

For minimum value we will take h'(x)=0

                           -140/x² + 2=0

                           ⇒2x² =140

                            ⇒x² =70

                            ⇒x= √70=8.37

y =35/√70= 4.18

Hence, the dimensions of the page (in inches) to be use the least amount of paper will be 8.37 inch and 4.18 inch.

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Answer:Let's call the distance of the boat trip "d".

Since the whole trip took 5 hours, and Maxwell was driving for part of it, we know that:

d/40 + x/60 = 5

where x is the number of hours Maxwell spent driving.

We also know that the distance he drove is equal to the total distance minus the boat trip:

275 - d = x * 60

So we can substitute this into the first equation:

d/40 + (275 - d)/60 = 5

Expanding and simplifying this equation gives us:

6d = 1800

Finally, dividing both sides by 6 gives us:

d = 300

So the boat trip was 300 miles long.

Step-by-step explanation:

Let's call the distance of the boat trip "d".

Since the whole trip took 5 hours, and Maxwell was driving for part of it, we know that:

d/40 + x/60 = 5

where x is the number of hours Maxwell spent driving.

We also know that the distance he drove is equal to the total distance minus the boat trip:

275 - d = x * 60

So we can substitute this into the first equation:

d/40 + (275 - d)/60 = 5

Expanding and simplifying this equation gives us:

6d = 1800

Finally, dividing both sides by 6 gives us:

d = 300

So the boat trip was 300 miles long.

$5 for 1 shirt

y = cost

x = number be shirts

10y = 2x

5y = x

The correct answer is "the less probable that our results are due to chance alone."

In statistics, t-value measures the difference between the mean of two groups and the variation within the groups. A larger t-value indicates that the means of the two groups are further apart and less likely to have occurred due to chance. Therefore, the larger the value of the obtained t, the less probable that our results are due to chance alone.

what is statistics?

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves methods for collecting, organizing, summarizing, analyzing, and interpreting data in order to make decisions or draw conclusions about a population or a sample of data. Statistics is widely used in various fields such as business, economics, social sciences, medicine, engineering, and more, to help understand and solve problems through data analysis.

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Answer:

n>0

Step-by-step explanation:

the 3/5 is irrelevant for this problem, so ignore it

just focus on the -n

if n<0, the expression would be positive because negative*negative=positive

if n>0 the expression would be negative because positive*negative=negative, which is good

and it isn't 0 because 0*anything is 0 and 0 isn't positive or negative

so, the answer is 2

Answer:

d) 0.25 divided by 0.42

Step-by-step explanation:

To find the percentage of students who passed the second test,given that they have already passed the first test, you can use the following formula:

\( \small\sf \: percentage \: who \: passed \: both \: tests = \frac{(percentage \: who \: passed \: both \: tests \: and \: first \: test) }{ (percentage \: who \: passed \: first \: test)} \\ \\ \)

Given that 25% of the class passed both tests and 42% of the class passed the first test,

percentage who passed both tests

→ (25%) / (42%)

→ 0.25/0.42

→ 0.595 or 59.5%

Therefore, 59.5% of the students who passed the first test also passed the second test.

The correct answer is (a) event. An event is a subset of outcomes from the sample space. It represents a specific outcome or set of outcomes that we are interested in. Events can be simple, consisting of a single outcome, or they can be compound, consisting of multiple outcomes.

For example, consider rolling a fair six-sided die. The sample space is {1, 2, 3, 4, 5, 6}. Let's say we are interested in the event of rolling an even number. The event in this case would be {2, 4, 6}, which is a subset of the sample space.

Events can also be mutually exclusive, meaning they cannot occur at the same time, or they can be independent, meaning the occurrence of one event does not affect the probability of the other event occurring.

In summary, an event is a subset of outcomes from the sample space and represents a specific outcome or set of outcomes that we are interested in. It is an important concept in probability theory.

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Answer:

Step-by-step explanation:

radius of cone and hemisphere are the same

volume of half sphere=(1/2)*(4/3)*

                                   =(1/2)*(4/3)*3.14*                       (4*4*4=64)

                                   =133.97333

                                   =133.97

volume of cone= (1/3)h

                        =(1/3)*3.14**9                                      (4*4=16)

                        =150.72

total volume=133.97+150.72

                   =284.69

                   =284.7

Step-by-step explanation:

Answer: z^5

Step-by-step explanation:

If Hilda has $210 worth of $10 and $12 stock shares and the number of $10 shares is 5 more than twice the number of $12 shares, then the number of $10 shares and $12 shares she has is equal to 15 and 5 respectively.

The number of $10 shares and $12 shares can be calculated by forming linear equations.

Consider the number of $10 shares to be x and the number of $12 shares to be y.

x = 2y + 5

10x + 12y = 210

Putting the value x = 2y + 5 in the second equation,

10x + 12y = 210

10 (2y + 5) + 12y = 210

20y + 50 + 12y = 210

32y + 50 = 210

32y = 210 - 50

32y = 160

y = 160 ÷ 32

y = 5

Putting y = 5 in the first equation,

x = 2y + 5

x = 2(5) + 5

x = 10 + 5

x = 15

Hence the number of $10 and $12 shares she has is calculated to be 15 and 5 respectively.

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The correct answer is d  is used to test the effect of the IV on the variability of the DV.

The correct answer is d. The "stand alone F test" is used to test the effect of the independent variable (IV) on the variability of the dependent variable (DV). It is an inferential test commonly used in analysis of variance (ANOVA) to determine if there is a significant difference among the means of three or more groups.

Option a is incorrect because the "stand alone F test" is an inferential test that involves making a conclusion about a population based on sample data.

Option b is incorrect because the "stand alone F test" is used to test the assumption of equal variances, not homogeneity of variance.

Option c is incorrect because the "stand alone F test" can be directional or non-directional, depending on the research question and hypothesis being tested.

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Answer:

what is your question here??

Sure! A table of values for f(x) = log base 8 of x is shown below:

x) f(x)

1) 0

2) 1/3

3) 0.54

4) 0.67

5)0.79

6)0.89

7) 0.97

8) 1

9) 1.10

10) 1.18

A logarithmic function is a type of mathematical function that involves the use of logarithms. Logarithms are a way of expressing numbers in terms of exponents, and logarithmic functions are functions that involve the logarithm of one or more variables.

The general form of a logarithmic function is:

f(x) = log_b(x)

where b is the base of the logarithm, and x is the argument of the logarithm.

Logarithmic functions have several important properties. One of the main properties is that they can be used to convert between exponential and logarithmic forms of equations. For example, the equation\(2^3\) = 8 can be written in a logarithmic form as log_2(8) = 3.

Logarithmic functions are also used in many applications in science, engineering, and finance. In science, logarithmic functions are used to describe the behavior of phenomena that exhibit exponential growth or decay, such as radioactive decay or population growth. In finance, logarithmic functions are used to calculate compound interest and to model the growth of investments over time.

The graph of a logarithmic function is a curve that approaches but never touches the x-axis as the x approaches zero. The shape of the curve depends on the base of the logarithm, and it becomes steeper as the base gets larger. The inverse function of a logarithmic function is an exponential function.

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Answer:

c

Step-by-step explanation:

Sampling without replacement is a process of collecting data from a population mean where each unit is selected only once.

To calculate sampling without replacement, first determine the size of the population you are sampling from. For example, if you are selecting 10 items from a population of 100, then the population size is 100. Next, calculate the number of possible combinations by using the mathematical formula nPr (n is population size, r is the number of items you are selecting). For our example, the formula would be 100P10, which would give us a result of 100!/(90!*10!) = 9,092,000 possible combinations. Finally, divide the number of possible combinations by the population size to determine the probability of selecting a specific combination. In our example, the probability would be 9,092,000/100 = 90,920.

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The required Answer that will help in the selection of the correct option from the given statement is True.

A string builder is considered a class in JAVA API where it provides the mutual sequence of characteristics. It is used for the requirement of dynamic string manipulation. Using it to form new characters in an existing string.

In comparison with string, the following points help in differentiating the ability, function, and purpose of their creation,

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Answer: b=6

Step-by-step explanation:

Answer:

48 kg

Step-by-step explanation:

8x+2 = 9x-4

8x-9x = -4-2

-x = -6

x = 6

Jane's weight at first = 8x = 8(6) = 48 kg

The position of the mass in the undamped spring-mass system can be represented by the equation u(t) = (A cos(ωt) + B sin(ωt)) / k. Therefore, position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

In this case, the external force acting on the system is 108 cos(4t) lb. To determine the position of the mass, we need to solve the differential equation that represents the motion of the system.

Using Newton's second law, F = ma, and considering that the mass m = 24 lb, the equation becomes:

24 * d^2u/dt^2 = 108 cos(4t)

Simplifying, we have:

d^2u/dt^2 = 4.5 cos(4t)

This is a second-order linear homogeneous differential equation with a constant coefficient. The solution to this equation will be a linear combination of the homogeneous and particular solutions.

The homogeneous solution, representing the free oscillation of the system, is u_h(t) = C1 cos(2t) + C2 sin(2t).

The particular solution, representing the forced motion caused by the external force, can be assumed in the form u_p(t) = A cos(4t) + B sin(4t).

By substituting u_p(t) into the differential equation, we can determine the values of A and B.

Solving the differential equation for the particular solution, we find:

A = 18 and B = 0

The complete solution for the position of the mass in feet is:

u(t) = (18 cos(4t)) / 4

Simplifying further, we get:

u(t) = 4.5 cos(4t)

Therefore, the position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

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none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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