Part D: HLA-RELA Understand solving equations #$ process of reasoning and eplain the reasoning based on rational functions: This summer, 450 players, including 30 who received scholarships- attend Coach Drummond'= summcr lacrosse camp Next summer; the fixed cost is projected t0 increase to S1S,700 , and the cost for meals and snacks projected to Inctese 525 per player. Coach Drummond would like keep the price per player the same as this summer. She anticipales that least 450 players will attend next summer. Write recommendation Coach Drummond that analyzes the number of players she ill need to attend her camp next summer; the price per player, and the number of scholarships that she should offer. Provide evidence to support your answer.

Therefore, there are 8^13 ways for Felicity to make her candy bar selection at the grocery store.

To calculate the number of ways Felicity can make her selection, we need to consider that she can choose from the available varieties of candy bars. Since there are 8 varieties in total, she has 8 options for the first candy bar. Similarly, for the second candy bar, she still has 8 options since she can choose from the same varieties again. This process continues for all 13 candy bars.

To find the total number of ways, we multiply the number of options for each candy bar together. Since each candy bar is chosen independently, the total number of ways Felicity can make her selection is calculated as 8 multiplied by itself 13 times (8^13). This yields a large number of possible combinations, representing the various ways she can choose candy bars from the available varieties.

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The probability of pulling out a blue marble on the first draw is 5/10 (or 1/2). Since we did not replace the blue marble back in the bag, there are now only 9 marbles left.

The probability of pulling out a white marble on the second draw is 1/9.
To find the probability of both events happening, we multiply the probabilities together:
P(blue and white without replacement) = P(blue on first draw) x P(white on second draw)
P(blue and white without replacement) = (5/10) x (1/9)
P(blue and white without replacement) = 1/18
So the probability of pulling out a blue marble and a white marble without replacement is 1/18.

I understand you would like to find the probability of pulling out a blue marble and a white marble without replacement from a bag of 10 marbles.
1. There are 5 blue marbles, 4 green marbles, and 1 white marble in the bag, for a total of 10 marbles.
2. First, let's find the probability of pulling out a blue marble. There are 5 blue marbles out of 10 total marbles, so the probability is 5/10 or 1/2.
3. After removing the blue marble, there are now 9 marbles left in the bag (4 blue, 4 green, and 1 white).
4. Next, let's find the probability of pulling out a white marble without replacement. There is 1 white marble out of the remaining 9 marbles, so the probability is 1/9.
5. To find the overall probability of pulling out a blue marble and a white marble without replacement, multiply the probabilities: (1/2) * (1/9) = 1/18.
Therefore, the probability of pulling out a blue marble and a white marble without replacement is 1/18.

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Answer:

It's B: 120

EDGE 2020/2021

Step-by-step explanation:

Like the guy in the comments said, 140 - 20 = 120

It also makes sense because the whole thing would equal 360, and if you add 140, 20 and 120 together you get 80. As you can see by the angles, there are 2 more sections other than PHJ that we do not know that look equal size. 80 in half is 40, and both sides left look about two times larger than PKH which is the angle with the 20. In conclusion PHJ is 120.

in this cases all angles have to add up to 360, so that's how I know it's 120 by adding up and seeing if this could make up the 360 degrees.

Answer:

B : 120

Step-by-step explanation: Just did the test edge 22 so person above me is correct.

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(x-3y=9\implies -3y=-x+9\implies y=\cfrac{-x+9}{-3} \\\\\\ y=\cfrac{-x}{-3}+\cfrac{9}{-3}\implies y=\cfrac{1}{3}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a likne whose slope is 1/3 and it passes through (-10 , 9)

\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{(-10)}) \implies y -9= \cfrac{1}{3} (x +10) \\\\\\ y-9=\cfrac{1}{3}x+\cfrac{10}{3}\implies y=\cfrac{1}{3}x+\cfrac{10}{3}+9\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x+\cfrac{37}{3} \end{array}}\)

The annual order cost is $1,600, annual holding cost is $56,000, annual logistics cost is $35,200, total purchase cost is $1,120,000, and total annual costs is $92,800.

To calculate the annual order cost, we need to determine the number of purchase orders placed in a year. Since each container holds 5,000 units and the annual demand is 80,000 units, the number of purchase orders is 80,000 / 5,000 = 16.

The annual order cost is then calculated by multiplying the number of purchase orders by the cost to place a purchase order: 16 * $100 = $1,600.

The annual holding cost is calculated by multiplying the holding cost rate (5%) by the total purchase cost. The total purchase cost is the product of the purchase cost per unit ($14.00) and the annual demand (80,000 units): 5% * ($14.00 * 80,000) = $56,000.

The annual logistics cost is calculated by multiplying the shipping cost per container ($2,200) by the number of purchase orders (16): $2,200 * 16 = $35,200.

The total purchase cost is the product of the purchase cost per unit and the annual demand: $14.00 * 80,000 = $1,120,000.

The total annual costs are the sum of the annual order cost, annual holding cost, and annual logistics cost: $1,600 + $56,000 + $35,200 = $92,800.

Therefore, the total annual costs amount to $92,800.

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To partition a line segment with a given ratio, you can follow these steps:

1. Identify the two endpoints of the line segment. Let's call them point A and point B.

2. Determine the ratio in which you want to partition the line segment. For example, let's say the ratio is 2:1.

3. Use the ratio to divide the line segment into parts. To do this, you'll need to find a point, let's call it point C, that is a certain distance from point A and a certain distance from point B. The distance from point A to point C should be twice the distance from point C to point B.

4. To find point C, calculate the total length of the line segment by finding the distance between point A and point B. Let's say the length of the line segment is d.

5. Divide d by the sum of the ratio (2+1=3) to determine the length of each part. In this case, each part would be d/3.

6. Multiply the length of each part by the corresponding ratio factor to determine the distance from point A to point C. In this case, point C would be located at a distance of (2/3) * (d/3) from point A.

7. Similarly, multiply the length of each part by the remaining ratio factor to determine the distance from point C to point B. In this case, point C would be located at a distance of (1/3) * (d/3) from point B.

8. Once you have the coordinates of point C, you have successfully partitioned the line segment with the given ratio.

For example, let's say the line segment AB has a length of 12 units and we want to partition it with a ratio of 2:1. Using the steps above:

1. Identify the endpoints: A and B.
2. Ratio: 2:1.
3. Calculate each part: d/3 = 12/3 = 4 units.
4. Distance from A to C: (2/3) * (d/3) = (2/3) * 4 = 8/3 units.
5. Distance from C to B: (1/3) * (d/3) = (1/3) * 4 = 4/3 units.
6. Point C would be located at coordinates (8/3, 4/3) on the line segment AB.

Remember, these steps can be modified based on the specific ratio you are given.

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Question- Partitioning a line segment, AB, into a ratio a/b involves dividing the line segment into a + b equal parts and finding a point that is an equal part from A and b equal parts from B. When finding a point, P, to partition a line segment, AB, into the ratio a/b, we first find a ratio c = a / (a + b)

The calculated average cost of each candy is $0.02

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

using the above as a guide, we have the following:

Average cost = Unit rate * Each candy's weight

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

Average cost = 4/0.2 * 0.001

Evaluate

Average cost = 0.02

Hence, the average cost of each candy is $0.02

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The answer is B

When there is a solid point that means it is included in the graph, so you'd use a greater/less than or equal to symbol (the one with a line under). If it's an unfilled point then it means that it is not included in the graph, so you'd use a greater/less than sign.

The x² equation is less than 2 while the linear equation is greater than or equal to 2.

We know it's the x² equation that is less than two because it has a curve in it.

Answer:

Step-by-step explanation:

138° - 80° = 58°

By applying the simple concept of algebra, the equation showing the number of Kenny's baseball cards (b) is b = 82 + 159. So it can be concluded that the number of Kenny's baseball cards is 241 cards.

The use of algebra in everyday life.

Algebra is a branch of mathematics that uses numbers, symbols, or letters to solve math problems. In everyday life, algebra is often used, starting from simple mathematical operations, to financial planning, calculating time/mileage, and so on.

In the above questions, we can take some notes as follows:

Baseball cards sold (x) = 82 cards.

Remaining baseball cards (y) = 159 cards.

The number of baseball cards owned by Kenny (b):

b = x + y

  = 159 + 82

  = 241 cards

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Answer:

8

Step-by-step explanation:

Isn't it simple because all other numbers are less than 4?

The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:

f(x) = A * sin(Bx + C) + D

where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.

Amplitude: The given amplitude is 10. So, A = 10.

Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.

Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.

f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:

41 = 10 * sin(2π/5 * 3 + C) + 31

10 * sin(2π/5 * 3 + C) = 41 - 31

10 * sin(2π/5 * 3 + C) = 10

sin(2π/5 * 3 + C) = 1

To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.

2π/5 * 3 = π/2 - C

6π/5 = π/2 - C

C = π/2 - 6π/5

Now we have all the values to construct the sinusoidal function:

f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31

Simplifying further:

f(x) = 10 * sin(2π/5 * x - 2π/10) + 31

f(x) = 10 * sin(2π/5 * x - π/5) + 31

Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

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Answer:

12.5/100=0.125. i think it’s the answer

sorry if it not but DO NOT FORGET STAY SAFE AT HOME

The symmetric equations of the line that passes through A(4, -7, -2) and B(-3, 8, 6).

x = 4 - 7s
y = -7 + 15t
z = -2 + 8u

To find the symmetric equations of a line, we need to first find the vector equation of the line using the given points. The vector equation is:

r = A + t(B-A)

where r is the position vector of any point on the line, A and B are the given points, and t is a parameter.

Substituting the given values, we get:

r = <4, -7, -2> + t<(-3-4), (8-(-7)), (6-(-2))>

Simplifying, we get:

r = <4, -7, -2> + t<-7, 15, 8>parameter. Letting s, t, and u be the parameters for x, y, and z respectively, we get:

Now, we can find the symmetric equations by setting each component of r equal to a separate

x = 4 - 7s
y = -7 + 15t
z = -2 + 8u

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Answer:

\(\displaystyle 13,834311042... = x\)

Step-by-step explanation:

\(\displaystyle \frac{x}{13} = csc\:70 \hookrightarrow 13csc\:70 = x \\ \\ 13,834311042... = x\)

OR

\(\displaystyle \frac{13}{x} = sin\:70 \hookrightarrow xsin\:70 = 13 \hookrightarrow \frac{13}{sin\:70} = x \\ \\ 13,834311042... = x\)

Information on trigonometric ratios

\(\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ\)

I am joyous to assist you at any time.

The product of 4√27 and 5√3 in simplest form is 180. Thus, the result obtained is a rational number

Surd multiplication can be carried out as illustrated below:

a√b × c√d = (a × c)√(b × d)

The product of 4√27 and 5√3 can obtained as illustrated below:

a√b × c√d = (a × c)√(b × d)

4√27 × 5√3 = (4 × 5)√(27 × 3)

4√27 × 5√3 = 20√81

But

√81 = 9

Thus,

4√27 × 5√3 = 20 × 9

4√27 × 5√3 = 180

Therefore, the product of 4√27 and 5√3 is 180

These are number that are expressed as a ratio of two integers inwhich the denominator is not equal to zero

Considering that the product of 4√27 and 5√3 is 180, we can thus say that 180 is a rational number since it can be written as 180 : 1 (or 180 / 1)

Therefore, was can conclude that the result obtained from the product of 4√27 and 5√3 is a rational number

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Answer: 7680

Step-by-step explanation:

Answer:

7,680

Step-by-step explanation:

Okay, so we use PEMDAS right, so we start with the parenthesis:

6 + 20 = 26

300 x 26 = 7,800

7,800 - 120 = 7,680

So 300(6+20)-120=7,680

hope this helps:)

Answer:

x = ±\(\sqrt{7}\) - 5

Step-by-step explanation:

x^2 - 10x = -18

x^2 - 10x + 18 = 0

(x + 5)^2 - 5^2 + 18 = 0

(x + 5)^2 - 7 = 0

(x + 5)^2  = 7

\(\sqrt{(x + 5)^2}\) \(=\) ±\(\sqrt{7}\)

x = ±\(\sqrt{7}\) - 5

Answer:

4 + i

Step-by-step explanation:

(10+4i) - (6+3i)

10-6 = 4

4i - 3i = 1i

therefore it's 4 + i

Answer:

√17

Step-by-step explanation:

We find the difference between z₁ and z₂ to be (10 + 4i) - (6 + 3i) = 4 + i

In order to find the distance of this, we must add the squares of both of the coefficients (4 and 1 in this case) of this difference and then find the square root.

We find √(4² + 1²) = √17

Thus, the distance is √17

Answer: 2 3/10 hope this helps :)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

It would be 2 because it cant have a decimal.2.3 would be a rational number

Thee factory is able to provide 94.38 boxes per hour to the warehouse.

Rate = (2000 - 1245) / 8 = 94.38 boxes per hour

Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.

Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2

Therefore, the inventory at the end of a 40-hour work week would be:

1245 + 3775.2 = 5020.2 boxes

rate = (50000 - 1245) / time

Simplifying this equation, we get:

time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).

Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,

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Answer:

76

Step-by-step explanation:

I D K this is a puzzle

The probability of drawing a committee of 3 men and 2 women at random is 1, which means it is guaranteed to happen since there are more than enough men and women available for the committee.

To find the probability of drawing a committee of 3 men and 2 women at random from a board of directors consisting of 12 men and 6 women, we need to calculate the ratio of favorable outcomes (committee of 3 men and 2 women) to the total number of possible outcomes.

The total number of ways to select a committee of 3 men from 12 men is given by the combination formula:

C(12, 3) = 12! / (3! * (12-3)!) = 12! / (3! * 9!) = (12 * 11 * 10) / (3 * 2 * 1) = 220

Similarly, the total number of ways to select a committee of 2 women from 6 women is given by:

C(6, 2) = 6! / (2! * (6-2)!) = 6! / (2! * 4!) = (6 * 5) / (2 * 1) = 15

To find the total number of ways to select a committee of 3 men and 2 women, we multiply the above two results:

Total number of ways = C(12, 3) * C(6, 2) = 220 * 15 = 3300

The probability of selecting a committee of 3 men and 2 women can be calculated by dividing the number of favorable outcomes (committee of 3 men and 2 women) by the total number of possible outcomes:

Probability = Favorable outcomes / Total outcomes

Favorable outcomes = C(12, 3) * C(6, 2) = 3300

Probability = 3300 / 3300 = 1

Therefore, the probability of drawing a committee of 3 men and 2 women at random is 1, which means it is guaranteed to happen since there are more than enough men and women available for the committee.

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Answer:

88

Step-by-step explanation:

4 pints = 8 cups

3 cups = 3 cups

8 cups + 3 cups = 11 cups

11 cups = 88 fl oz

Answer:

64 + 24 = 88 oz

Step-by-step explanation:

1 pint = 16 oz  (4 x 16 = 64)

1 cup = 8 oz (3 x 8 =24)

The option that shows what all the polygons have in common is that;

B. Each appears to have exactly one pair of parallel sides.

Looking at the polygons given, we can see that;

Looking at all the polygons the only common statement is that they a pair of parallel sides.

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Answer: x = -2

Step-by-step explanation:

3x+5 -13x =25     combine like terms on the left side

-10x + 5 = 25        Subtract 5 from both sides

        -5      -5

-10x = 20     Divide both sides -10

x = -2

Answer:

\(x = -2\)

Step-by-step explanation:

If we have the equation \(3x+5-13x=25\), we can isolate x on one side and find it's value.

Let's combine like terms.

\(-10x + 5 = 25\)

Subtract 5 from both sides:

\(-10x + 5 - 5 = 25 - 5\\\\-10x = 20\)

Divide both sides by -10:

\(-10x\div-10 = 20\div-10\\\\x = -2\)

So \(x = -2\).

Hope this helped!

The division expression to find the number of cups of flour Max needs to use if he has only 1 egg is M ÷ N cups of flour.

1 egg = M/N cups of flour.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Let M cups of flour be needed for N eggs.

This can be written as:

N eggs = M cups of flour

Divide both sides by N.

1 egg = M/N cups of flour

Thus,

The division expression to find the number of cups of flour Max needs to use if he has only 1 egg is M ÷ N cups of flour.

1 egg = M/N cups of flour.

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Answer:

12u + 14 + 5x or 12u + 11 + 5x = 3

Step-by-step explanation: I dont know I was just guessing cause u had 2 equal signs by numbers

Answer:

x = 3

y = -7

Step-by-step explanation:

y = -4x + 5

y = 3x - 16

Substitute y in the first equation with 3x - 16

3x - 16 = -4x + 5

+4x         +4x

7x - 16 = 5

+16         +16

7x = 21

÷7    ÷7

x = 3

Then, put x = 3 in y = -4x + 5

y = -4(3) + 5

y = -12 + 5

y = -7

Answer:

x = 3; y = -7

Step-by-step explanation:

Both equations are solved for y.

Let's substitute what y is equal to in the first equation, -4x + 5, for y in the second equation.

The original second equation is:

y = 3x - 16

Now we plug in -4x + 5 for y in the second equation.

-4x + 5 = 3x - 16

Subtract 3x from both sides.

-7x + 5 = -16

Subtract 5 from both sides.

-7x = -21

Divide both sides by -7.

-7x/-7 = -21/-7

x = 3

Now that we know the value of x, we use substitution again.

Take the first original equation, y = -4x + 5, and substitute 3 for x. Then solve for y.

Here is the first original equation:

y = -4x + 5

Substitute 3 for x:

y = -4(3) + 5

y = -12 + 5

y = -7

The solution is: x = 3; y = -7

We can check the solution to make sure it is correct.

Take each original equation and plug in the values we found for x and y. Simplify both sides and see if they are equal. If the two sides are equal, the solution is correct.

Check first equation:

y = -4x + 5

-7 = -4(3) + 5

-7 = -12 + 5

-7 = -7

The solution works on the first equation.

Check second equation:

y = 3x - 16

-7 = 3(3) - 16

-7 = 9 - 16

-7 = -7

The solution works in the second equation.

This shows that our solution is correct.

Answer: x = 3; y = -7