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Part 1

A sporting goods store manager was selling a ski set for a certain price. The manager offered the 20% and 30% markdown, making the​ one-day sale price of the ski set ​$. Find the original selling price of the ski set.

The total number of social security numbers that are possible are 900,000,000.

In the social security number first digit can only fall between 1 and 9, leaving us only nine options because the first three digits cannot all be zeros. There are still 10 possibilities for each of the second and third digits because they may both still be any integer between 0 and 9.

Therefore, the total number of different social security numbers that can be formed is using the combinations,

= 9 × 10⁸

= 900,000,000

So, there are 900,000,000 different possible social security numbers.

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a. The unemployment rate is 20%.

b. The labor-force participation rate is 60%.

According to the question,

Working age population- 100,000

Labour force - 60,000

Unemployed - 12000 instructions

a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:

Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100

When an unemployed population is 12,000 and the labor force is 60,000,

the unemployment rate is  = \(\frac{12000}{60000}\) × 100 = 20%

b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:

Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100

When the labor force is 60,000 and the working-age population is 100,000

Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%

So, a. The unemployment rate is 20%.

b. The labor-force participation rate is 60 %.

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Understanding a set’s nature or properties is made easier by its closure property

The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.

Why Closure Property is important?

Understanding a set’s nature or properties is made easier by its closure property. Mathematical applications of closure are numerous. Any operation that adheres to this condition is said to be “closed” or to have “fulfilled the operation’s closure property.”

Example – The set of even number is closed under subtraction

                   Even – Even = Even

                   6 – 4 = 2

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Answer:

The answer is 3 1/8 because 10/3 equals 3 1/3 and 11/3 equals 3 2/3.

Answer:

185

Step-by-step explanation:

14.8 / 0.08 = 185

Best of Luck!

Answer:

185

Step-by-step explanation:

next time you get a question like that use symbolab

Answer:

14.65

Step-by-step explanation:

You add 13 + 6 3/4 then subtract 5 1/10 from that and you have your answer.

Length of the shadow cast by the 28 m high tree is 70m

Given in the Question:

Shadow cast by Pole=50m

Length of pole=20m

length of tree=28m

then length of shadow cast by tree =?

Formula of TanФ= Perpendicular/Base

Let perpendicular be represented by p

Let the base be represented by b

Then TanФ=p/b

Taking TanФ of the pole and its shadow we get:

TanФ=20/50

TanФ=2/5

taking tan inverse

Ф=\(tan^{-}\)2/5

referring to the table of angles we get

Ф=37

Now for the shadow cast by the tree,

tree=p=28m

shadow=b

TanФ=2/5

TanФ=p/b

TanФ=28/b

then,

2/5=28/b

cross multiplying

2 X b= 28 X5

2b=140

b=140/2

b=70

Thus the length of the shadow cast by the tree is 70m

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Answer:

75%

Step-by-step explanation:

I had this question and got it right!

Answer:

the answer 75%

hope this helps

Using the formula for area of a circle the value for area is obtained as option D: 196 (π) ft².

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

The formula for the area of a circle is -

A = π × r², where r is the radius.

Substituting r = 14 ft into the equation -

A = π × (14 ft)²

A = π × 196

A = 196 π  ft²

Therefore, the area of circle V is 196 π ft².

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Answer:

\({1.8 \times 10}^{10} \: opton \: b. \: is \: correct\)

Step-by-step explanation:

\( {1.5 \times 10}^{6} \times 12000 = \\ {1.5 \times 10}^{6} \times {1.2\times 10}^{4} = \\ {1.8 \times 10}^{10}\)

Answer: B

Step-by-step explanation:

Keep writing the equation until you get to lowest terms.

\(15\) × \(10^{6}\) × \(12,000\) =

\(15\) × \(10^{2}\) × \(1.2\) × \(10^{4}\) =

\(1.8\) × \(10^{10}\)

The answer is option B.

Answer:

f(x) = -2x\(3\) - 3, gx= 4x - 3

Step-by-step explanation:

So,

Let "x" and "y" be the numbers that we're asking for.

As we know, one number is one more than the other, so we could write:

And,

Now, the equation that we could state is:

The probability of having one white ball is 1/20 or approximately 0.05.

To find the probability of selecting one white ball out of three balls, you need to know the number of white balls in the box and the total number of balls in the box. You also need to know whether the balls are being selected randomly or not.

Assuming that there is only one white ball in the box and the rest are some other color, and that the balls are being selected randomly.

The probability of selecting one white ball out of three would be:

Probability = (number of ways to select one white ball out of three) / (total number of ways to select three balls)

Since there is only one white ball, there is only one way to select one white ball out of three. The total number of ways to select three balls out of six is 6 choose 3, which is equal to 20.

Therefore, the probability of selecting one white ball out of three would be

Probability = (number of ways to select one white ball out of three) / (total number of ways to select three balls)

Probability = 1/20

Probability = approximately 0.05.

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Given function is f(x) = -7x^2 + 6x + 4 To find the intervals on which the given function is increasing or decreasing, we need to find the first derivative of the given function.f'(x) = -14x + 6

For finding the intervals on which the given function is increasing or decreasing, we need to solve f'(x) = 0.

-14x + 6 = 0-14x

= -6x

= 6/14x

= 3/7

We get the critical point of x as 3/7 Now, we can check whether the function is increasing or decreasing in the intervals x < 3/7 and x > 3/7.For x < 3/7f'(x) = -14x + 6 will be negative, so the function is decreasing in the interval (-∞, 3/7).For x > 3/7f'(x) = -14x + 6 will be positive, so the function is increasing in the interval (3/7, ∞).The function has a local maximum at x = 3/7.

Therefore, the local maximum value isf(3/7) = -7(3/7)^2 + 6(3/7) + 4f(3/7) = -21/7 + 18/7 + 4f(3/7) = 11/7The function does not have a local minimum value. Therefore, the value will be NA.So, the required answers are as follows.The open interval on which the function is decreasing = (-∞, 3/7)The open interval on which the function is increasing = (3/7, ∞)The local maximum value is 11/7, and the value of x is 3/7.

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The limit definition of the derivative of a function y=f(x) is the rate of change of y with respect to x, represented by the symbol dy/dx.

The derivative of a function y=f(x) is a measure of how much the function y changes as x changes. It is represented by the symbol dy/dx and can be calculated using the limit definition.

The limit definition states that the derivative of a function at a point x is equal to the limit of the ratio of the change in y to the change in x as the change in x approaches 0.

This is represented mathematically as: dy/dx = lim(h->0) (f(x+h) - f(x)) / h.

This definition is the foundation for the whole Calculus, it is a powerful tool for solving problems in physics, engineering, economics and many other fields.

It also allows for mathematical analysis of many complex functions and helps in understanding the properties of functions such as increasing and decreasing, maxima and minima, concavity and inflection points.

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Answer:

2 in 542 is in the ones place/column and the 2 in 324 is in the tens place/column

Answer:

The 2 in 542 is in the ones place so its value is only 2, the 2 in 324 is in the tenths place, its value is 20.

Step-by-step explanation:

To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.

Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0

Earliest finish time = 1

Activity B: Earliest start time = 2

Earliest finish time = 5

Activity C: Earliest start time = 5

Earliest finish time = 11

Activity D: Earliest start time = 11

Earliest finish time = 17

Activity E: Earliest start time = 5

Earliest finish time = 8 Activity F:

Earliest start time = 8

Earliest finish time = 17

Now we can calculate the latest start and latest finish times for each activity using the backward pass.

Latest finish time = 5

Latest start time = 2

Activity A: Latest finish time = 1

Latest start time = 0

Now we can calculate the slack time for each activity as follows:Activity A:

Slack time = 0

Activity B: Slack time = 0

Activity C: Slack time = 0

Activity D: Slack time = 0

Activity E: Slack time = 3

Activity F: Slack time = 0

The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.

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There are 196 subsets that are subsets of neither {1, 2, 3, 4, 5} nor {4, 5, 6, 7, 8}.

To find the number of subsets that are subsets of neither {1, 2, 3, 4, 5} nor {4, 5, 6, 7, 8}, we can use the principle of inclusion-exclusion.

First, let's find the total number of subsets of {1, 2, 3, 4, 5, 6, 7, 8}. Since there are 8 elements in the set, there are 2^8 = 256 subsets.

Next, we need to find the number of subsets that are subsets of {1, 2, 3, 4, 5}. Similarly, there are 2^5 = 32 subsets.

Likewise, the number of subsets that are subsets of {4, 5, 6, 7, 8} is 2^5 = 32.

However, we have counted some subsets twice, those that are subsets of both {1, 2, 3, 4, 5} and {4, 5, 6, 7, 8}. To find the number of these subsets, we can take the intersection of the two sets, which is {4, 5}. There are 2^2 = 4 subsets of {4, 5}.

To find the number of subsets that are subsets of neither {1, 2, 3, 4, 5} nor {4, 5, 6, 7, 8}, we can subtract the number of subsets that are subsets of either {1, 2, 3, 4, 5} or {4, 5, 6, 7, 8}, minus the number of subsets that are subsets of both {1, 2, 3, 4, 5} and {4, 5, 6, 7, 8}.

So, the number of subsets that are subsets of neither {1, 2, 3, 4, 5} nor {4, 5, 6, 7, 8} is 256 - 32 - 32 + 4 = 196.

Therefore, there are 196 subsets that are subsets of neither {1, 2, 3, 4, 5} nor {4, 5, 6, 7, 8}.

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Solution:

Given:

The radius and tangent to a circle at the point of intersection are perpendicular to each other.

Hence, considering the right triangle;

Hence, the length of the missing side can be gotten using the Pythagorean theorem.

Therefore, to the nearest tenth, the length of the missing side is 6.3

Answer:

m=1/2

Step-by-step explanation:

your answer is right

Answer:

B.) 33

Step-by-step explanation:

15/5=3

6x3=18

18+15=33

The ratio shows how many times one value is contained in another value.

If the ratio of Red and blue is 6:5 and uses 5 pints of blue color.

The total pints of paint used in total is 33 pints.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

The ratio of minutes and minutes in 1 hour is 60 : 3600

We have,

Purple color:

Red : Blue = 6 : 5

Let,

Red colour = 6x

Blue color = 5x

Now,

Blue color = 15 pints

5x = 15 pints

x = 15/3

x = 3 pints _______(1)

Now,

Total color.

= Red + Blue

= 6x + 5x

= 11x

Now,

From (1) we get,

= 11x

= 11 x 3

= 33

Thus,

If the ratio of Red and blue is 6:5 and uses 5 pints of blue color.

The total pints of paint used in total is 33 pints.

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Answer:

That depends on how accurate you are with pen and paper.

You can tell it's a growing exponential, so the form is the traditional one. If you are particularly inclined in crunching numbers and working on a grid I would pick 0, 1 and -1, 1/2 and -1/2, a few positive integers, and that's it.

If not, i would be satisfied saying that when x = 0 (ie, the y intercept) y= 3, and that's all. Then, my drawing is made with paint, don't expect a masterpiece.

The linear equation that models the data based on the information is y = 2.2x + 0.6.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.

In conclusion, the linear equation that models the data based on the information is y = 2.2x + 0.6.

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Answer: D. -37pi/9

Step-by-step explanation:

The rest of the answer choices have a reference angle of 2pi/9

The reference angle of π/9 is -37π/9 option (d) -37π/9 is correct.

It is defined as the angle formed between the terminal side and x-axis, known as the reference angle.

We have an angle of π/9

The angle -37π/9 is a reference angle of π/9 because:

=  (2π+2π)-37π/9  (one complete revolution is 2π)

= (18 + 18-37)π/9

= π/9

Thus, the reference angle of π/9 is -37π/9 option (d) -37π/9 is correct.

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Answer:

Bulldogs

Step-by-step explanation:

3/8 is less then 1/2

3/8 is less than 4/5

3/8 is less than 2/3

Answer:A

Step-by-step explanation:

Answer:

curved lines

Step-by-step explanation:

because a linear persctive is a straight line or perspective where in which a curved line isnt

The cost of four and three-fourths pounds of beef is $18.95.

Given,

Amount of beef purchased = 4 and 3/4th  pounds.

Cost of beef per pound = $3.99

We need to find how much four and three-fourths pounds of beef cost.

Find the cost of 1 pound of beef.

1 pound = $3.99

We can write four and three-fourths as:

= 4 3/4

= 19/4

Find the cost of 19/4 pounds of beef.

1 pound = $3.99

Multiplying by 19/4 on both sides.

19/4  x 1 pound = 19/4 x $3.99

19/4 pounds =$18.95

Thus the cost of four and three-fourths pounds of beef is $18.95.

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