Which of the following is an example of a combination?
O A. The number of ways 3 people can sit on a couch.
O B. Picking 4 sets of towels out of 20 different sets.
• C. The number of ways 12 picture frames can be arranged on a shelf.
• D. Selecting a first, second and third place winner at a beauty
competition.

Tan P expressed as a fraction in simplest terms is 15/29

Trigonometric Identities are defined as equalities involving trigonometry functions and also holds true for all the values of variables given in the equation.

There are five types of trigonometric identities;

From the information given, we have that;

Opposite side = 15

Adjacent side = 29

But the tangent trigonometric identity is;

Tan P = opposite/adjacent

Substitute the value

Tan P = 15/29

Hence, the value is 15/29

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The area of square is 100 square centimeter.

What is square?

A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can also be explained as a rectangle with two adjacent sides that are of equal length.

Given:

A square has sides 10 centimeters long.

We have to find the area of square.

Since,

Area of square = (side)^2

Here side of square is 10cm

So,

Area of square = (10 cm)^2

Area of square = 100 cm^2

Hence, the area of square is 100 square centimeter.

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The original number is, if The sum is 633 and wrote a 9 to the right of it, and added the new number to double the original number is 52.

An arithmetic value used to indicate an amount is called a number. A number is a mathematical concept that is used for counting, measuring, and labeling. Thus, mathematics is built on numbers.

Given:

The sum is 633 and wrote a 9 to the right of it, and added the new number to double the original number,

Assume the original number is x then, according to the condition,

10x + 9 + 2x = 633

12x = 633 - 9

x = 624 / 12

x = 52

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From the directory for her state, Haylee randomly chooses 10 small firms. Assume that the binomial variable BBBB represents the number of the firms she chooses that have websites.

The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability p) or failure (with probabilitq=1-pq=1-p).

This distribution is used in probability theory and statistics.

A Bernoulli trial, or experiment, is another name for a single success-or-failure experiment, and a Bernoulli process is another name for a series of results. For a single trial, or n = 1, the binomial distribution is a Bernoulli distribution.

The popular binomial test of statistical significance is based on the binomial distribution.

A sample of size n drawn with replacement from is widely used to model the number of successes using the binomial distribution.

Hence, From the directory for her state, Haylee randomly chooses 10 small firms. Assume that the binomial variable BBBB represents the number of the firms she chooses that have websites.

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The value of 'x' in the expression 20/x = 2 is 10.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A numerical expression in the form of fraction 20/x = 2.

Now, To make 'x' in the numerator we'll move it to the other side which is,

2x = 20.

x = 20/2.

x = 10

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Confidence interval for the mean score of all students is (91.679, 98.321)

Given:

Sample mean = 95

Standard deviation = 6.6

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

We have to construct a 99% confidence interval for the mean score of all the students.

Sample Standard Error =

[tex]\frac{Standard Deviation}{\sqrt{n} } \\= \frac{6.6}{\sqrt{30} }[/tex]

= 1.205

t-value for the 99% confidence interval = 2.756

(use the t-tables for this)

Margin of error = 2.756 x 1.205 = 3.321

If you are asked to report the confidence interval, you should include the upper and lower bounds of the confidence interval.

So, for the 99% confidence interval:

(95 - 3.321, 95 + 3.321) = (91.679, 98.321)

This is the final confidence interval.

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It takes 5 years for the population to decrease to 46785 from the current population of 48500 of a small city whose population is decreasing by an average of 325 people per year.

It is given that,

Current population = 48500 people

Rate of decrease = 325 per year

Number of years = x

decreased population after x years  = 46785

Then, the equation is

46785 = 48500 - 325x

On simplifying the obtained equation, we get

46785 = 48500 - 325x

⇒ 325x = 48500 - 46785 = 1625

⇒ x = 1625/325 = 5 years

So, the people become 46785 after 5 years.

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The percent change in the speed of Brian is found as 15%.

For the stated question-

Initial speed = 68 mph

Final speed =  80 mph.

Difference = Final speed - Initial speed

Difference = 80 - 68

Difference = 12 mph

Percent change = Difference/Initial speed x 100

Percent change =  12/80 x 100

Percent change = 15%

Thus, the percent change in the speed of Brian is found as 15%.

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Mindy needs to place the painting at 2.125 feet away from each side of the wall.

The horizontal distance of two side of a wall is defined as width and the vertical distance is called length of wall.

We need to place the paint at an equal distance from each side of wall (horizontal distance).

suppose Mindy will place the paint at x feet away from each side of wall.

for both side she counts 2x feet

width of wall =12.25 feet

width of painting= 8 feet

now, 8+ 2x = 12.25

   2x= 4.25

  x=2.125 feet

hence, Mindy will place the paint at 2.125 feet away from each side horizontally.

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After solving the equation, the value obtained for m ∠B will be equal to 132°.

An angle results from the intersection of two lines at a point. The term "angle" describes the width of the "gap" that exists between these two rays. It's represented by the symbol.

Angles are most frequently measured in degrees and radians, a measurement of roundness or rotation. Angles are a part of everyday existence.

As per the given information in the question,

The inside angle plus the external angle add up to 180°.

So,

m ∠B = (14x − 22)°

14x - 22° + 6x - 18° = 180°

14x + 6x - 22° - 18° = 180°

20x - 40° = 180°

20x = 180° + 40°

20x = 220°

x  = 220° / 20

x = 11°

Now, let's find m∠B.

m ∠B = (14x − 22)°

Put x = 11° in above equation,

m ∠B = (14(11) − 22)°

m ∠B = 154° - 22°

m ∠B = 132°.

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Answer:

The answer of the limit is 1.

Answer:

a) The maximum height reached by the ball can be found by taking the derivative of the given equation, setting it equal to 0, and solving for t. We have:

h'(t) = -10t + 20 = 0

Solving for t, we get t = 2. Substituting this value into the original equation, we get:

h(2) = -5(2)² + 20(2) + 0.4 = -10 + 40 + 0.4 = 30.4

Thus, the maximum height reached by the ball is 30.4 meters.

b) The time it takes to reach the maximum height can be found by setting the derivative of the given equation equal to 0 and solving for t, as we did in part (a). In this case, we get t = 2, so it takes 2 seconds for the ball to reach its maximum height.

c) The time at which the ball hits the ground can be found by setting the original equation equal to 0 and solving for t. We have:

h(t) = -5t² + 20t + 0.4 = 0

Solving for t, we get:

-5t² + 20t + 0.4 = 0

This quadratic equation has two solutions, which can be found using the quadratic formula:

t = (-20 ± √(20² - 4(-5)(0.4))) / (2(-5))

= (-20 ± √(400 + 0.8)) / -10

= (20 ± √400.8) / -10

= (-20 ± 20.28) / -10

= -10 ± 10.14

Thus, the ball hits the ground at t = -10 + 10.14 = 0.14 seconds, or at t = -10 - 10.14 = -20.14 seconds. Since the time must be positive, we can conclude that the ball hits the ground at 0.14 seconds.

The measurement of all the angles in the given geometrical image are mentioned below.

Given is a figure as shown in the image.

We can write the following equations -

∠1 + ∠2 + (8x - 8)° + (3x + 17)° = 360°

and

(8x - 8)° = (3x + 17)°                               {Vertically opposite angles}

8x - 3x = 17 + 8

5x = 25

x = 5

So -

8x - 8 = 8 x 5 - 8 = 32°

3x + 17 = 3 x 5 + 17 = 32°

So -

∠1 + ∠2 + (2 x 32) = 360°

2∠1 + 64 = 360

2∠1 = 296

∠1 = 148° = ∠2                                   {Vertically opposite angles}

∠6 = ∠1 = 148°

∠3 = 32°

∠5 = (180 - 148) = 32°

∠4 = 148°

∠6 = 148°

∠5 = 32°

Now -

(4y + 44) + (6y + 46) = 180°

10y + 90 = 180

10y = 90

y = 9

So -

(4y + 44) = 4 x 9 + 44 = 36 + 44 = 80

∠8 = 80°

Now -

6y + 46 = 6 x 9 + 46 = 100°

∠10 = 100°

∠11 = 80°

∠7 = ∠10 = 100°

∠7 = 100°

∠11 = ∠12 = 80°

∠12 = 80°

Therefore, the measurement of all the angles in the given geometrical image are mentioned above.

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Answer: After reconciling her check register with her statement, Erin needs to make the following entry in her register: $1123.72 - $879.87 + $62.42 + $21 + $61.14 - $60.24 - $50.24 - $40 = $226.23. This is the updated balance in Erin's account after accounting for all the transactions that were not reflected on her bank statement.

In the current year, Bonnie sells stock valued at $60,000 to Linda for $15,000. Later that year, Bonnie gives Linda $25,000 in cash. Bonnie's taxable gifts from these transfers total a) $55,000.

Shares, also known as stocks, are securities that represent partial ownership of the issuing company. A unit of stock is called a "share" and allows the holder to receive a portion of the company's assets and profits equal to the number of shares held.

shares are traded primarily on stock exchanges and form the basis of many individual investor portfolios. Stock trading must comply with government regulations designed to protect investors from fraud.

Taxable Gifts:

Gifts valued at $75 or more are taxable.

Non-cash gifts of small value (less than $75 annually) to employees. Holiday turkeys are tax exempt.

tax-free value is capped at $1,600 for all her awards for one year.

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Answer:

Step-by-step explanation:

Well, it seems like you're adding 5 each time so
45.7
46.2
46.7
47.7
48.2
48.7

The conditional statement that must also be true is given as follows:

If Stacie does not like pizza, then Amir does not like soda.

A conditional statement has the format defined as follows:

p -> q.

It is read as follows:

If p then q.

In which:

The statement in this problem is given as follows:

If Stacie likes pizza, then Amir likes soda.

Then the parameters are given as follows:

When the conditional statement is true, the inverse statement must also be true, that is:

~p -> ~q.

The symbol ~ represents negation.

Thus the inverse statement is given as follows:

If Stacie does not like pizza, then Amir does not like soda.

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Answer:

B

Step-by-step explanation:

2x + 2 + 5x + 3 = 180

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 175/7

x = 25°

30-ounce bottle for $6.00 will have a lower unit price. The correct option is D.

The combination of numerical variables and operations expressed by the addition, subtraction, multiplication, and division signs constitutes a mathematical expression.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented using mathematical symbols. They can also be used to indicate other characteristics of the logical grammar, such as the operation order.

We are given that there are two conditions for bottles. A 30 -ounce bottle for $ 6.00 or in a 24-ounce bottle for $ 4.08.  The unit price for each bottle will be: The bottle having the lower price will be:-

30-ounce bottle = $6.00

One ounce bottle = 30 / 6.00 = $5.00

and

24-ounce bottle = $4.08

One ounce bottle = $24/ 4.08 = $5.88

30-ounce bottle for $6.00 will have a lower unit price. The correct option is D.

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Answer:

3

Step-by-step explanation:

on edge

Answer:

  x = 3

Step-by-step explanation:

You want the root of the polynomial equation x(x -2)(x +3) = 18.

A graph of the equation in the form x(x -2)(x +3) -18 = 0 is attached. The solution is the x-intercept. It shows the only real root is x = 3.

There are many ways the polynomial can give rise to a system of equations. The basic idea is to write two expressions that are supposed to be equal to each other. The graphing calculator can show the value(s) of x that make them equal.

Dividing both sides of the given polynomial by (x -2)(x +3) gives the equation ...

  x = 18/((x -2)(x +3))

This can be graphed as two equations:

  y = x

  y = 18/((x -2)(x +3))

This is shown in the second attachment. It tells us the root is x=3. (Both sides of the "x=" equation have the value 3 at x=3.)

__

Additional comment

Here, you are asked to use a system of equations. A graphing calculator can usually find the solution more easily when the equation is written in the form f(x) = 0. Often x-intercepts are easier to identify than points where graphs cross each other.

In order for mn to be even, m must be even or n must be an even number.

The relationship between two propositions when the subject and predicate of one are respectively the negation of the predicate and the negation of the subject of the other.

Suppose that the statement “m is even or n is even” is not true. Then both m and n are supposed to be odd. Let’s see if the product of two odd numbers is an even or an odd number:

Let n and m be equal to 2a +1  and 2b + 1 respectively, then their product is:

                 (2a +1) (2b + 1) = 4ab + 2a + 2b + 1

                                       = 2(2ab +a + b) + 1

This shows that the expression 2(2ab +a + b) + 1  is of the form 2n +1,  thus the product is odd. If the product of odd numbers is odd, then mn is not true to be even. Therefore, in order for mn to be even, m must be even or n must be an even number.

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All solutions of the following system of linear inequalities are given-

B (6, 2), C (9, 9), D (8, 2)

For the stated question,

Therefore, the solutions of the following system of linear inequalities are-

B (6, 2), C (9, 9), D (8, 2).

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Answer:

D. x=4

Step-by-step explanation:

32. m<1=m<2 ==> angle bisectors divide an angle into two equal angles

m<2=m<RQP

m<1=m<SQP

m<RQP+m<SQP=m<SQR

m<2+m<1=m<SQR

m<2+m<2=m<SQR

(2+7x)+(2+7x)=16x-4

2+7x+2+7x=16x-4

2+2+7x+7x=16x-4

4+14x=16x-4

4-4+14x=16x-4+4

4+4+14x=16x-4+4

14x+8=16x

14x-14x+8=16x-14x

8=2x

x=8/2

x=4 ==> D

The number of minutes that will be used for commercials will be 20 minutes.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

If the radio program plays 40 minutes of music.

Suppose the radio program is of one hour which is 60 minutes. Then the number of minutes will be used for commercials will be given as,

⇒ 60 - 40

⇒ 20 minutes

The number of minutes that will be utilized for plugs will be 20 minutes.

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Answer:

12

Step-by-step explanation:

Answer : 12

Step-by-step explanation:

The method that i used here was FOIL

(2 - 2i)(3 + 3i)

2x3=6

2x3i=6i

-2ix3=-6i

-2ix3i=-6i^2

6 + 6i - 6i - 6i^2

6-6i^2

i^2 is also known as (-1)

6 - 6(-1)

6 + 6

= 12

Answer:

Step-by-step explanation:i'm pretty sure that y=x^2+14x+49=625.

Answer:

Some points that are on this line are:

(-7,-9) (-6,-7) (-5,-5) (-4,-3) (-3,-1) (-2,1) (-1,3) (0,5) (1,7) (2,9)

Step-by-step explanation:

x = second number

first number = x - 6

third number = 4x

x - 6 + x + 4x = 96

6x - 6 = 96

6x = 102

x = 102/6 = 17

first number = x - 6 = 17 - 6 = 11

second number = x = 17

third number = 4x = 4×17 = 68

The triangle ABC is an isosceles triangle because AB = BC = √73

From the question, we have the following parameters that can be used in our computation:

A(0, 0), B(3, 8), and C(6,0).

An isosceles triangle is any triangle that has two of its sides to be equal

So, we start by calculating the lengths of the sides using the distance equation represented as follows

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Substitute the known values in the above equation, so, we have the following representation

AB = √[(0 - 3)² + (0 - 8)²]

AB = √73

AC = √[(0 - 6)² + (0 - 0)²]

AC = 6

BC = √[(3 - 6)² + (8 - 0)²]

BC = √73

Because AB = BC = √73, then the triangle is an isosceles triangle

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