The Baltimore Mean Green is a local tennis team which currently has twenty-three members. If only six people can participate at the same time and positions are not considered, how many different groups of members can be selected?

Exact Form of the expression is mathematically given as

\(\sin \left(2 \arccos \left(\frac{1}{3}\right)\right)\)

Generally, An expression is a combination of variables, numbers, operators, and/or functions that represent a value.

\(\sin \left(2 \arccos \left (\frac{1}{3}\right)\right)\)

Evaluate\($\arccos \left(\frac{1}{3}\right)$.\)

sin (2 *1.23095941)

Multiply 2 by 1.23095941.

sin (2.46191883)

The result can be shown in multiple forms.

Exact Form:

\(\sin \left(2 \arccos \left(\frac{1}{3}\right)\right)\)

Decimal Form:

0.62853936

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Answer:

m∠Q = 121°

m∠R = 58°

m∠S = 123°

m∠T = 58°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Create an expression for the sum of all the angles and equate it to 360, then solve for x:

      ∠Q + ∠T + ∠S + ∠R = 360

⇒ 2x + 5 + x + 2x + 7 + x = 360

⇒ 6x + 12 = 360

⇒ 6x = 360 - 12 = 348

⇒ x = 348 ÷ 6 = 58

So now we know that x = 58, we can calculate all the angles:

m∠Q = 2x + 5 = (2 x 58) + 5 = 121°

m∠R = x = 58°

m∠S = 2x + 7 = (2 x 58) + 7 = 123°

m∠T = x = 58°

Answer:

3.8

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

300000 km per second

18000000 km per minute

126000000 km in 7 minutes

Step-by-step explanation:

In 10 minutes there are (10*60) seconds, which is 600 seconds.

180000000/600 = 300000

To find km per minute,

180000000/10 = 18000000

To find km in 7 minutes,

18000000*7=126000000

Light travels 18000000 kilometers per minute and 300000 kilometers per second.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, light travels about 180000000 kilometers in 10 minutes.

A) We know that, 1 minute =60 seconds

10 minutes =600 seconds

Now, number of kilometers per second

= 180000000/600

= 300000 kilometers/second

B) Number of kilometers per minute

= 180000000/10

= 18000000 kilometers per minute

C) Number of kilometer light travel in 7 minutes

= 18000000×7

= 126000000

Therefore, light travels 18000000 kilometers per minute and 300000 kilometers per second.

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Restaurant chain has to sell at the rate of $9.5 to get maximum revenue from the sell.

The most noteworthy that the store ought to sell ought to be at $9.5 per burrito since, in such a case that they sell at $9.5, then they will get 1,805,000 for an everyday income (9.5 x 190,000 burritos).

On the off chance that they sell any higher, their everyday income will go down.

For instance, assuming they sell at $10 a piece, they can sell 180,000 (according to the standard that for each $0.50 expansion in cost, they need to diminish their deals volume by 10,000). 10 x 180,000 is 1,800,000 which is their everyday income assuming that they sell at $10 which is not as much as what they can get assuming they sell at $9.5.

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Correct question:

A restaurant chain sells 220,000 burritos each day when it charges $8. 00 per burrito. For each $0. 50 increase in price, the restaurant chain sells 10,000 less burritos.

a. how much should the restaurant chain charge to maximize daily revenue

Answer:

x < -2

Step-by-step explanation:

Given the following question:

Where the trapezoid is...

6ft by 9ft

Find the area:

Answer:

4.3

Step-by-step explanation:

Answer:

rate of change is 3

Step-by-step explanation:

Answer:

The rate of change is 3

Step-by-step explanation:

start at (0,2)  Then go up three spaces and right 1 space.  You will be on the line again at point (1,5)

Answer:

13

Step-by-step explanation:

We can write the following inequality to find the answer:

7x + 3 < 100 (where x is our answer and x is an integer)

7x < 97

x < 13.86

The largest integer value of x that satisfies this inequality is x = 13 so we know that our answer will be 13.

a) When Lily's age is 20, and Raphael's age is divided by 3 then the expression of Lily's age in terms of h is h < 10.

b) Ethan's age is half of Raphael's age therefore, Ethan's age is half Raphael's age.

a) If Raphael is twice as old as his sister Lily, we can represent their ages as 2h and h, respectively, where h is Lily's age. The sum of their ages is less than 30, so we can write the equation:

2h + h < 30

Combining like terms, we get:

3h < 30

Dividing both sides by 3, we get:

h < 10

This is an expression of Lily's age in terms of h.

b) If Ethan's age is 16, and Raphael's age is twice Ethan's age, we can represent Raphael's age as 2 × 16 = 32.

Ethan's age is 16, which is half of Raphael's age of 32. Therefore, Ethan's age is half of Raphael's age.

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The question is -

Raphael is twice as old as his sister. The sum of their ages is less than 30.

a) Lily's age is 20, and Raphael's age is divided by 3. Write an expression in terms of h for Lily's age.

b) An expression for Ethan's age 16. Write a sentence to describe how Ethan's age compares with Raphael's age.

The answer is that the form of fiber art that involves placing two sets of parallel fibers at right angles and interlacing one set with the other is called weaving.

Weaving is the process of creating fabric by interlacing two sets of threads, known as the warp and weft, at right angles. The warp threads are stretched vertically on a loom, while the weft threads are woven horizontally across the warp. This results in a stable and durable fabric that can be used for a variety of purposes. Weaving has been used for centuries in cultures around the world to create clothing, textiles, and other functional and decorative items.

In weaving, the two sets of fibers are called the warp and the weft. The warp fibers run vertically and are held in tension on a loom. The weft fibers run horizontally and are woven over and under the warp fibers. This process of interlacing the warp and weft fibers creates a strong and flexible fabric, and it allows for the creation of various patterns and designs. Weaving is used in many different cultures and can be seen in a variety of fiber art forms, such as tapestries, rugs, and clothing.

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The data given has: a) A strong correlation, b) A positive correlation

Correlation is a statistical measure that expresses the extent to which two variables are linearly related, meaning they change together at a constant rate.

We have ordered pairs in the data as:

x             y

1             2

2            3

3            8

4            10

5            26

6            38

7            46

8            50

9            68

Plotting the graph (attached)

Clearly, on plotting the scatter plot on the basis of table of values, we see that the relation is a strong correlation since we can find a relationship between variable x and y.

i.e. the points will lie above or below the curve  which is formed by connecting some points of the scatter plot and are not scattered away.

Hence, the data above has: A strong correlation.

Also, the graph is a positive correlation since with the increasing value of x the y-value also increases.

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Answer:

\(x=2\)

Step-by-step explanation:

I believe your question is:

For what value of \(x\) does \(3^{2x}=9^{3x-4}\)?

—

First, rewrite \(9\) as \(3^2\):

\(3^{2x}=(3^2)^{3x-4}\)

Then, use exponentiation to apply the \((a^b)^c=a^{bc}\) rule:

\(3^{2x}=3^{2(3x-4)}\)

Rewrite the expression as a non-exponential one since the bases (\(3\)) are equal on both sides:

\(2x=2(3x-4)\)

Distribute the \(2\):

\(2x=6x-8\)

Subtract \(6x\) from both sides:

\(-4x=-8\)

Divide both sides by \(-4\):

\(x=2\)

Answer:

I know this but I can't remember

8 red and 7 green

switch the numbers

7 green and 8 red

7 green : 8 red

take the label off

Answer, 7 :8

It is proved that Point A is situated equal distance from Triangle PQA and RQA.

It is a line that divide an angle or a line in two equal parts.  In the given figure, QA is a bisector as it divides the angle PQR.

Triangles are called congruent when they have equal corresponding sides and equal corresponding angles. As shown in figure, the bisector QA creates two congruent triangle PQA and RQA.

it is given, QA is bisector of angle Q, so point A lies equal distance from P and R. According to the figure, APQ and ARQ are right angle.

As per the rules of congruence theorem, triangle PQA and Triangle RQA are two congruent triangles.

hence, A is the same distance from P and R

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Statement                                                                  Reason

1. QA is the bisector of ∠PQR                                   Given

2. ∠PQA   ≅ ∠RQA                                          Definition of bisector

4. ∠QXA ≅ ∠QYA                                   All right angles are congruent

5. QA ≅ QA                                                                Given

6.△PQA ≅ △RQA                                            AAS Postulate

8. Point A is equidistance                              Definition equidistance

from the side of ∠PQR        

What is right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given that point A is lie on the bisector of ∠PQR.

When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector. Segment bisectors and angle bisectors are the sorts of bisectors that are most frequently taken into consideration.

Therefore QA is the bisector of ∠PQR

Then ∠PQA   ≅ ∠RQA  

Since ∠QXA and ∠QYA are right angle, therefore they are congruent.

∠QXA ≅ ∠QYA

QA ≅ QA

AAS postulate: The triangles are congruent if two angles and the excluded side of one triangle match two angles and the excluded side of another triangle.

According to AAS postulate,

△PQA ≅ △RQA  

Point A is equidistance from ∠PQR.

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The elements in the set A is {34, 35, 36, 37, 38, 39, 40}.

Here, we have,

given that,

The set A = {n | n is a positive integer and 33 < n < 41}

To list the elements of the given set :

From the given condition in the set A we have the the number n lies between 33 and 41 excluding 33 and 41

Since n lies between the open interval (33,41)

Therefore the set A = {34, 35, 36, 37, 38, 39, 40}

The above set A is arranged from smallest to largest itself.

The elements in the set A is {34, 35, 36, 37, 38, 39, 40}

contains the following elements:

34, 35, 36, 37, 38, 39, 40

Therefore, the elements of set A, listed from smallest to largest, are:

34, 35, 36, 37, 38, 39, 40.

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The number of days spent or taken by assistant with work efficiency of 2 units per day to do the work alone is equals to the 7.5 days.

We have provide that there is a carpenter and his assistant can do a piece of work.

Number of days taken by both carpenter and his assistant to do a piece of work = 3 days.

Number of days taken by carpenter and to do the same piece of work alone = 5 days.

We have to determine number of taken by assistant and to do the same piece of work alone.

Let the required number of days that the assistant take to do the work alone be 'x days'. As we know, total available work units = LCM (3,5) = 15 units

Ability or efficiency of a person or man is calculated by dividing the total work units to the number of working days spent to do the work.

Now, Ability or efficiency of both carpenter and his assistant work together = 15/5

= 3 units/day

Similarly, Ability or efficiency of carpenter = 15/3

= 5 units/day

So, Ability or efficiency of assistant= 5 - 3 = 2 -(1)

Using efficiency formula, efficiency of assistant

= 15/x --(2)

from (1) and(2), 15/x = 2

=> 2x = 15

=> x = 7.5

Hence, required number of days are 7.5 days.

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Answer: 6

Step-by-step explanation:

\(-5x+\frac{8x}{4}\)

\(-5(-2)+\frac{8(-2)}{4}\)

\(10+\frac{-16}{4}\)

\(10-4\)

= 6

We can choose a = b

b = 0 such that

g(x) = 1 + 0x + 0x², which means g(x) is in W. Therefore, W is a subspace of P₂.

Let W = (1 + ax + bx² ∈ P₂ : a, b ∈ R} with the standard operations in P₂. Determine which of the following statements is true. W is a subspace of P₂. `long answer`First, we need to determine if W is closed under addition. Let f, g be in W. Then there exist real numbers a₁, a₂, b₁, b₂ such that f(x) = 1 + a₁x + b₁x² and

g(x) = 1 + a₂x + b₂x². The sum of f and g is

f(x) + g(x) = (1 + a₁x + b₁x²) + (1 + a₂x + b₂x²) = 2 + (a₁ + a₂)x + (b₁ + b₂)x². Since (a₁ + a₂), (b₁ + b₂) are real numbers, 2 + (a₁ + a₂)x + (b₁ + b₂)x² is in W as well.

We need to determine if W is closed under scalar multiplication. Let f be in W and c be a real number. There exist real numbers a, b such that f(x) = 1 + ax + bx². The product of c and f is

cf(x) = c(1 + ax + bx²)

= c + acx + bcx². Since ac, bc are real numbers, c + acx + bcx² is in W as well. Hence, W is closed under scalar multiplication. Finally, we need to verify if the zero vector exists in W. The zero vector is the function g(x) = 0 for all x ∈ R.

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The side of the square of each block = 2 feet

Given,

Shelly sews a square blanket that has an area of 144 square feet.

and,  it has 36 square blocks, each the same size.

To find the approximate length of each side of a block

Now, According to the question:

36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks

= 144/ 36

= 4

The area of each square = 4 square feet

We know that

Area of square = side ^2

Side ^2 = 4

side = \(\sqrt{4}\)

Side = 2

Hence, The side of the square of each block = 2 feet

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Answer:

answer is d

Step-by-step explanation:

just did it

Answer:

its D

Step-by-step explanation:

Therefore, each of the 10 braces exerts a force of approximately 6035.25 N.

To calculate the force exerted by each of the 10 braces, we need to consider the horizontal force exerted by the wind and the geometry of the wall and bracing.

Given:

Height of the wall (h) = 17.0 m

Length of the wall (l) = 11.0 m

Number of braces (n) = 10

Horizontal force exerted by the wind (F_w) = 645 N/m^2

First, let's calculate the total area of the wall:

Wall area (A) = h * l = 17.0 m * 11.0 m = 187.0 m^2

Since the net force from the wind acts at a height halfway up the wall, we can consider the force acting on the top half of the wall:

Force on the top half of the wall (F_t) = F_w * (A/2) = 645 N/m^2 * (187.0 m^2 / 2) = 60352.5 N

Next, let's calculate the force exerted by each brace:

Force exerted by each brace (F_brace) = F_t / n = 60352.5 N / 10 = 6035.25 N

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a. The probability that brand A will be preferred as the best is 0.65 or 65%.

b. The probability that brand A will be preferred as the best and brand B as the second best is 0.22 or 22%.

c. The probability that brand B will be preferred as the second best given brand A is preferred as the best is 0.615.

What is probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability.

a) The probability that brand A will be preferred as the best can be calculated by adding up the frequencies of outcomes where brand A is listed first, which are (A, B, C), (A, C, B), and (C, A, B), and dividing by the total number of outcomes:

P(A is preferred as the best) = (220 + 180 + 250) / 1000 = 0.65

Therefore, the probability that brand A will be preferred as the best is 0.65 or 65%.

b) The probability that brand A will be preferred as the best and brand B as the second best can be calculated by adding up the frequency of the outcome (A, B, C), where brand A is listed first and brand B is listed second, and dividing by the total number of outcomes:

P(A is preferred as the best and B is preferred as the second best) = 220 / 1000 = 0.22

Therefore, the probability that brand A will be preferred as the best and brand B as the second best is 0.22 or 22%.

c) To find the probability that brand B will be preferred as the second best given brand A is preferred as the best, we need to consider only the outcomes where A is listed first:

P(B second | A first) = (A, B, C) + (A, C, B) / P(A first)

P(B second | A first) = (220 + 180) / 650

So the probability that brand B will be preferred as the second best given brand A is preferred as the best is 400/650 = 0.615.

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Answer:

ummmmmmmmmmmmmmmmmmm t=4

Answer:

A

Step-by-step explanation:

Cylinder volume= V = π r ^2 h

So you times Pie by the radius (diametre divided by two- 3.5) you then square this. After that, times it by the height (10)

So the volume is 384.85.

You then find 30% of this, so times 384.85 by 30%.

You then get an answer of 115.455, and this is equal to A.

I hope this helps, have a lovely day.

SSR represents the amount of variation in Y that is explained in regression analysis.

It is also known as the sum of squares due to regression, which measures the difference between the predicted values and the actual values of the dependent variable (Y).

The higher the value of SSR, the better the fit of the regression line to the data. This is because a higher SSR indicates that more of the variation in Y is being explained by the independent variable (X).

Therefore, the correct answer to the multiple choice question is "The amount of variation in Y that is explained."

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