Which two inequalities can be used to find the solution to this absolute value inequality?
3|x+4|-5<7

Which Two Inequalities Can Be Used To Find The Solution To This Absolute Value Inequality?3|x+4|-5&lt;7

Answers

Answer 1

Answer: 3(x+4)<-12 and x+4<4

Step-by-step explanation:

3|x+4| - 5 < 7

Answer 2

The two inequalities which is used to find the solution to this absolute value inequality 3 |x + 4| - 5 < 7 are;

⇒ x - 4 < 4

And, x - 4 > - 4

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ 3 |x - 4| - 5 < 7

Now,

Since, The inequality is,

⇒ 3 |x - 4| - 5 < 7

Solve as;

⇒ 3 |x - 4| - 5 + 5 < 7 + 5

⇒ 3 |x - 4| < 12

⇒ |x - 4| < 4

This gives two solution as;

⇒ x - 4 < 4

And, x - 4 > - 4

Thus, The two solutions are;

⇒ x - 4 < 4

And, x - 4 > - 4

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Related Questions

Does anyone know if I did this right?? Please help me

Does anyone know if I did this right?? Please help me

Answers

Answer:

you did this right

Step-by-step explanation:

A manufacturer of a hot tub is interested in testing two different heating elements for his product. The element that produces the maximum heat gain after 15 minutes would be preferable. He obtains 10 samples of each heating unit and tests each one. The heat gain after 15 minutes (in degree F) follows. Is there any reason to suspect that one unit is superior to the other? Use alpha = 0.05 and the Wilcoxon rank-sum test. Use the normal approximation for the Wilcoxon rank-sum test. Assume that a = 0.05. What is the approximate p-value for this test statistic?

Answers

There is a reason to suspect that one unit is superior to the other.

The approximate p-value for this test statistic is 2P(Z > |z|) = 2P(Z > 5.82) ≈ 0

How to use Wilcoxon rank-sum test

To compare the two heating elements,

use the Wilcoxon rank-sum test to determine if there is a significant difference between the two groups of data based on their ranks.

Given that;

The heat gain data for the two heating elements are

Heating Element one: 4, 8, 9, 10, 12, 13, 15, 16, 17, 20

Heating Element two: 5, 6, 7, 8, 9, 11, 12, 14, 15, 18

Combine the data and rank them from smallest to largest, we have

4, 5, 6, 7, 8, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 18, 20

The rank sum for Heating Element 1 is

R(1) = 1 + 5 + 6 + 7 + 9 + 10 + 12 + 13 + 15 + 19 = 97

For Heating Element 2 is:

R(2) = 2 + 3 + 4 + 5 + 6 + 11 + 12 + 16 + 17 + 20 = 96

The test statistic for the Wilcoxon rank-sum test is

W = minimum of R(1) and R(2) = 96

The distribution of the test statistic W is approximately normal with mean μ_W = n1n2/2 and standard deviation σ_W = √(n1n2(n1+n2+1)/12), where n1 and n2 are the sample sizes.

In this case, n1 = n2 = 10,

so μ_W = 50 and σ_W ≈ 7.91.

Therefore, the standardized test statistic z is

z = (W - μ_W) / σ_W = (96 - 50) / 7.91

≈ 5.82

The two-tailed p-value for this test statistic is approximately 2P(Z > |z|) = 2P(Z > 5.82) ≈ 0, where Z is a standard normal random variable.

The p-value is less than the significance level of α = 0.05, hence, we reject the null hypothesis and conclude that there is reason to suspect that one unit is superior to the other.

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ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.

ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.

Answers

Answer:

When two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°

Step-by-step explanation:

Based on the Inscribed Angles Theorem, the measure of an intercepted arc is twice the measure of the inscribed angle that intercepts it in a circle.

Consequently, the theorem also Holds that the measure of two inscribed angles intercepting the same arc, are congruent. In other words, both angles together are the same, and their sum would give you the measure of the arc they both intercept.

In the diagram shown in the attachment below, we have 2 inscribed angles, angle A and B. They both intercept the same arc of 75°.

Therefore, we can conclude that the measure of both angles equal 75°, which is the same as the measure of the arc they intercept.

Angle A = Angle B

m<A + m<B = measure of intercepted arc = 75°

Thank you all for helping so far, mind if I ask again, haha​

Thank you all for helping so far, mind if I ask again, haha

Answers

Answer:

10 < 18 + 7

10 < 25

True yyes

cuz it is above 10

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

For a point to satisfy an inequality, when it is pluged in, the inequality must be true. So, first, plug in 3 for x and 10 for y. After plugging in the points the inequality is 10< 6(3)+7, then simplify the inequality. This equals 10<25, which is a true statement. Therefore the answer is yes.

Find the circumference

A. 47.1
B. 22 in
C. 10.5 in
D. 35 in

Find the circumference A. 47.1B. 22 in C. 10.5 in D. 35 in

Answers

Answer:

C ≈ 47.12389

Step-by-step explanation:

C = 2πr

r = 15/2

r = 7.5

C = 2π7.5

Five times the greater of two consecutive even
integers is 14 greater than three times the lesser
number. What is the greater number?

Answers

Two consecutive even integers:
X, x + 2

5(x+2) = 14 + 3x
5x + 10 = 14 + 3x
2x = 4
X = 2

Greatest is 4

in considering whether to produce a single product, the associated direct materials and direct labor costs would probably a. irrelevant qualitative factors b. relevant qualitative factors c. relevant quantitative factors d. irrelevant quantitative factors

Answers

Option c, relevant quantitative factors, is the correct answer.

Direct materials and direct labor costs are factors that directly affect the production of a single product. They are important in determining the cost of producing the product and, therefore, are relevant quantitative factors that need to be considered when making a decision about whether to produce a product.

Qualitative factors, on the other hand, are non-monetary considerations such as market demand, competition, technological advancements, and environmental concerns, which may also impact the decision to produce a product, but are not directly related to the cost of production.

Therefore, in considering whether to produce a single product, both qualitative and quantitative factors need to be taken into account. However, direct materials and direct labor costs are relevant quantitative factors that are important in making an informed decision about the profitability of the product.

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PLEASE HELP 10 POINTS

Sally works in a cell phone store. She is paid a weekly salary of $80 plus $5.25 for each cell phone she sells. Which equation can be used to find Sally's total weekly income?


A. y=85.25x

B. y=85.25x+ 80

C. y= 5.25x+80

D. y=80x+5.25

Answers

The correct choice should be C (sorry if not)

T/F. In a certain board game, a player rolls two fair six-sided dice until the player rolls doubles (where the value on each die is the same). The probability of rolling doubles with one roll of two fair six-sided dice is 16.

Answers

As per the concept of probability that it takes three rolls until the player rolls doubles is 0.11574 and this can be determined by using the given data.

In math the term probability of an event is defined as nothing but a number between 0 and 1 where zero shows the impossibility and one shows the certainty.

Here we have given that a certain board game, here the player rolls two fair six-sided dice until the player rolls doubles.

And here we know that the probability of rolling doubles with one roll of two fair six-sided dice is 1/6.

Here first we need to determine the probability of rolls to obtain doubles in each roll.

That can be calculated as ,

=> 1 - 1/6 = 5/6

Then the fails in the second roll is calculated as,

=> 1 - 1/6 = 5/6

Then the third roll the player rolls doubles that is calculated as,

=> 1/6

So, the probability of requiring 3 rolls until getting doubles will be calculated as

=> 5/6 x 5/6 x 1/6

=> 25/216

When we simplify this one then we get,

=> 0.115

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If sin0 = 7/25 find csc0? hurry pls

Answers

Answer:

according to the rules of math and echo the answer is csgo globaloffense with the ration 12.10

Step-by-step explanation:

WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!

WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!

Answers

Answer:

C both line and point symmetry

Step-by-step explanation:

payments of $1400 each year for 8 years at 6ompounded annually

Answers

If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.

To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.

To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).

Plugging in the values, we have:

FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06

≈ $12,350

Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.

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Please help me respond this question

Please help me respond this question

Answers

The correct options are -

g(x) increases at a faster rate over the interval [1,2].f(x) increases at a faster rate over the interval [0,1]Explain the term rate of increase for function?The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of increase is calculated by dividing the amount of growth in one item by the equal number of changes in another.The main concept behind rates of growth is how one variable changes as the other grows. Making tables will make this simple to see.

For the stated function.

The graph for the function g(x) is given in the question.

As the slope of function g(x) is most steep for the interval [1,2].

Thus, g(x) increases at a faster rate over the interval [1,2].

The graph for the function f(x) is attached,

f(x) = 3x+ 2

From the graph, it is shown that the slope of the function g(x) is most steep for the interval [0,1].

Thus, f(x) increases at a faster rate over the interval [0,1].

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Please help me respond this question

Evaluate:
7 - 3 + 10

Answers

Answer:

14

Step-by-step explanation:

7-3 = 4 4+10=14 therfore 14 would be the answer hope this helps

A banner is made of a square and a semicircle. The square has side lengths of 24 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner? Use 3.14 for π.


The total area of the banner is _____ in ^2

Answers

Answer: 576π in²

Step-by-step explanation:

The total area of the banner is 576π in². This is because the area of the square is 576 in², and the area of the semicircle is half the area of a circle with a diameter of 24 inches, which is 144π in². Adding these together gives us 576π in².

Answer:

(((((((((673'97))))))))))))

Step-by-step explanation:

........

Jay said that 6 billion people could stretch around Earth at the equator
more than 200 times. Show why his claim makes sense. (The distance around
the equator is about 40 000 km.)

Answers

If people stood very close together, they could probably rotate the earth about 6 times. Standing approximately 10 or 15 feet away, definitely, 9 times.

how many days could a 60kg deer survive without food at -20 degrees - has 5kg of fat
18 days

Answers

The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

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Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

how to find the x component of this vector
12.1 meters 48.4 degrees

Answers

The magnitude of the x-component of this vector is 9.05m.

The angle of inclination of the vector is calculated as;

θ = 90 ⁰ - 48.4 ⁰

θ = 41.6 ⁰

The magnitude of the x-component of the vector is calculated as;

Vx = 12.1 m x cos ( 41.6 )

Vx = 9.05 m

A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.

Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.

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Complete Question:-

how to find the x component of this vector 12.1 meters 48.4 degrees

Which parachute has a slower decent: a orange parachute that falls at 12 feet in 5 seconds or a green parachute that falls at 14 feet in 7 seconds? *

Answers

Answer:

Green parachute

Explanation:

Orange parachute

• Distance = 12 feet

,

• Time = 5 seconds

Rate of descent = 12/5 =2.4 feet/seconds

Green parachute

• Distance = 14 feet

,

• Time = 7 seconds

Rate of descent = 14/7 =2 feet/seconds

Since 2 is less than 2.4, the green parachute has a slower descent.

Suppose that y varies inversely as the square of x, and that y=10 when x=9. What is y when x=17? Round your answer to two decimal places if necessary.

Answers

The value of y when x = 17 is 2.80 .

Given,

y varies inversely as the square of x

we know that

If y varies inversely as the square of x

then

the equation is equal to

yx² = k

where

k is the constant of proportionality

step 1

Find the constant k

For y=10, x=9

substitute the given values

10 * 9² = k

k = 810

Thus,

we have the equation,

yx² = 810

step 2

Find the value of y when the value of x=17

substitute in the equation

y * 17² = 810

y = 2.80

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Which of the following BEST describes how to use the addition property of equality to isolate the variable y
below?
y-12 = 14
A. add 12 to the left side of the equation only
B. subtract 12 from the left side of the equation only
C. add 12 to both sides of the equation
D. subtract 12 from both sides of the equation
Please select the best answer from the choices provided
Ο Α
ОВ
С

Answers

Answer:  C) add 12 to both sides

Reason:

We add 12 to the left side to undo the -12, which will get y by itself.

We must do the same thing to both sides to keep things balanced.

PLEASE HELPP ill give brainliest!!

The shape of a logo is made up of a triangle, a rectangle, and a parallelogram.

What is its area in square centimeters? Round your answer to the nearest tenth (1 decimal place).

PLEASE HELPP ill give brainliest!!The shape of a logo is made up of a triangle, a rectangle, and a parallelogram.

Answers

The value of area of logo is,

A = 139.5 cm²

We have to given that;

The shape of a logo is made up of a triangle, a rectangle, and a parallelogram.

Here, Base of triangle = 9 cm

Height of triangle = 7 cm

Length of rectangle = 9 cm

Width of rectangle = 9 cm

Hence, We get;

The value of area of logo is,

A = (1/2 × 9 × 7) + (3 × 9) + (9 × 9)

A = 31.5 + 27 + 81

A = 139.5 cm²

Thus, The value of area of logo is,

A = 139.5 cm²

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A wallet containing 5 five-dollar bills, 7 ten-dollar bills, and 8 twenty-dollar bills is found and returned to its owner. The wallet's owner will reward the finder with 1 bill drawn randomly from the wallet. What is the probability that the bill drawn will be a twenty-dollar bill?

Answers

Answer:

8/21 chance or 38.1%

Step-by-step explanation:

5 + 7 + 8 = 21

If the owner will take oneout of random theres an 8/21 chance he will pick out a 20 dollar bill.

use the pythagorean Theorem to find the missing length of the hypotenuse
C=

use the pythagorean Theorem to find the missing length of the hypotenuseC=

Answers

Answer:

300

Step-by-step explanation:

do 15 times 20 and that should make 300.

hope this helps

What liner expression would you need to subtract (5x+3) to have a difference of -x

Answers

The linear expression which would need to be subtracted from (5x + 3) to get -x is; 6x + 3.

Which fraction would need to be subtracted from (5x + 3) to get -x?

It follows from the task content that the linear expression which would need to be subtracted from 5x + 3 to get -x is to be determined.

Hence, let the required linear expression be y so that we have;

5x + 3 - y = -x

y = 5x + 3 + x

y = 6x + 3.

Ultimately, the expression would need to be subtracted from 5x + 3 to have a difference of -x is; y = 6x + 3.

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which expression is equivalent to the expression shown below?
-1/2(-3/2x + 6x + 1) - 3x

A) 3/2x - 1/2
B) 6 3/4x - 1/2
C) -3/4x + 1/2
D) -5 1/4x - 1/2

Answers

Answer:

vcbnvjhgbvnhtrgbhj hy6tyuk

Step-by-step explanation:

The correct answer is:  [D]: " (-5 )x − " .

_________________________________________________________

Explanation:

_________________________________________________________

" -1/2(-3/2x + 6x + 1) − 3x " ;

=  (-1/2 * -3/2 x) + (-1/2 * 6x) + (-1/2 * 1) − 3x ;  

=   [ (-1 *-3) /(2*2)] x + (-3x) + (-1/2) ] − 3x ;  

=   [ (3/4)x − 3x − (1/2) ] − 3x ;  

=   (3/4)x − 3x − (1/2) − 3x ;  

= ?? ;   →  Combine the "like terms" ;  

          → "(3/4)x − 3x − 3x " =   ?? ;

                        → "(3/4)x − 3x = "(-9/4)x";

                        → "(-9/4)x − 3x = "(-21/4)x "  =  " (-5 )x " ;  

→  The answer is:  " (-5 )x −  " ;  

___________________________________________________

→   which is:

___________________________________________________  

→   Answer choice:  [D]:  " (-5 )x −  " .

___________________________________________________

thomas believes that a group is cohesive when it is marked by strong positive bonds between members of a group. thomas considers cohesion to be

Answers

Thomas considers cohesion to be the presence of strong positive bonds between members of a group. In his perspective, cohesion represents a sense of unity, attachment, and solidarity among individuals within the group.

Cohesion, according to Thomas, goes beyond mere cooperation or coordination of activities. It encompasses the emotional and social aspects of group dynamics, emphasizing the quality and strength of the relationships between members. The existence of strong positive bonds implies that individuals feel connected, trust each other, and have a shared sense of identity and purpose.

Thomas likely believes that cohesive groups are characterized by mutual support, collaboration, and a sense of belonging. Members are more likely to work together effectively, communicate openly, and have a higher level of commitment to group goals. Cohesion may also contribute to increased satisfaction, motivation, and overall well-being within the group.

Thomas's perspective aligns with the socio-emotional aspect of group cohesion, emphasizing the interpersonal connections and social dynamics that contribute to the cohesiveness of a group.

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Find the distance between each pair of points given on the bottom and right edge of each puzzle piece. Arrange the puzzle pieces here so the edges match with corresponding answers. If you can not find your answer, it is likely an edge piece.
CRACK THE CODE:
Use the letters from the squares on the four corners

Find the distance between each pair of points given on the bottom and right edge of each puzzle piece.

Answers

The distance between each pair of points given on the bottom and right edge is given below.

Using Distance formula

d = √(a-c)² + (b-d)²

1. (8, 0) and (4, 7)

= √(4-8)² + (7-0)²

= √4² +7²

= √65

(2, -6) and (4, -12)

= √(4-2)² + (-12 + 6)²

= √2² + 6²

= √40

= 2√5

2. (-3, 2) and (1, 6)

= √4² + 4²

= 4√2

(-3, 4) and (-6, 6)

= √3² + 2²

= √13

3. (9.5) and (0, -1)

= √9² + 6²

= √117

(3,-6) and(- 7, - 2)

= √4² + 4²

= 4√2

4. (-3.8) and (6,8)

= √3² + 0²

= 3

(8, 7) and (2,9)

= √6² + 2²

= 2√5

5. (10.-8) and (-7.-6)

= √17² + 2²

= √293

(10, - 10) and (2, 6)

= √8² + 16²

= √320

Thus, the edges does not match with the sides given.

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32,16,8
find the 9th term

Answers

1/8 is the 9th term in sequence .

What does sequence look like in math?

A sequence is a collection of numbers in a particular order. To go forward in the defined pattern, three dots are shown. A phrase is used to refer to each number in the series.

                            One is the first word, three is the second, five is the third, and so on, in the series 1, 3, 5, 7, 9,... There are groups of numbers called number sequences that adhere to a pattern or norm. Arithmetic sequences are those in which the rule is to add or remove a number each time. A geometric sequence is one where the rule is to multiply or divide by a specific amount each time. A word is used to describe each number in a sequence.

a₉ = 1/8

the general term through the pattern aₙ = 32(1/2)ⁿ⁻¹

  Substitute and calculate  aₙ = 1/8

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The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.
Question: The probability that there are 8 occurrences in ten minutes is
A) 0.0652
B) 0.9319
C) 0.0771
D) 0.1126

Answers

Option C. which corresponds to the probability of approximately 0.0771 that there will be 8 occurrences within a period of ten minutes.

This problem follows a Poisson distribution, where the mean and variance of the distribution are equal to λ. Here, λ = 5, and we need to find the probability of having 8 occurrences in 10 minutes. The probability mass function of Poisson distribution is:

P(X = k) = (e⁽⁻λ⁾ * λᵏ) / k!

Substituting the given values, we get:

P(X = 8) = (e⁽⁻⁵⁾ * 5⁸) / 8!

P(X = 8) ≈ 0.0771

Therefore, the probability that there are 8 occurrences in ten minutes is approximately 0.0771, which corresponds to option C.

This problem follows a Poisson distribution, where the mean and variance of the distribution are equal to λ. Here, λ = 5, and we need to find the probability of having 8 occurrences in 10 minutes. The probability mass function of Poisson distribution is:

P(X = k) = (e⁽⁻λ⁾ * λᵏ) / k!

Substituting the given values, we get:

P(X = 8) = (e⁽⁻⁵⁾ * 5⁸) / 8!

P(X = 8) ≈ 0.0771

Therefore, the probability that there are 8 occurrences in ten minutes is approximately 0.0771, which corresponds to option C.

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Convert each of mixed number to an improper fraction 17There are 3 cards in Box A and 3 cards in Box B.There is a number on each card.aBox BBox A93442235aRyan takes at random a card from Box A and a card from Box B.He adds together the numbers on the two cards to get a total score.Work out the probability that the total score is an odd number. Sale! 50% OFF of the original price! The sale price of a mountain bike is 449. What was the original price? Submit What factors might influence situational interest?a. opportunity to observe influential modelsb. working cooperatively on a task with othersc. well-written texts and other reading materiald. games and puzzlese. assignments requiring rote memorization What God did Ikhnaton worship? 1. Zesus 2.Mercury3.Apollo4.Aton Now answer the following question: compute the area of an ellipse using green's theorem if the vertex is 2 and co-vertex is 3 According to the food and nutrition service of the u.s. department of agriculture, in one school year, the national school lunch program (NLP) served 31.2 million school lunches. of these, 16.1 million were free lunches, 3.2 million were reduced-price lunches, and 11.9 million were full-price lunches. the federal government reimburses school districts $2.68 for each free lunch, $2.28 for each reduced-price lunch, and $0.25 for each paid lunch. in addition to cash reimbursements, schools are entitled to receive USDA foods called "entitlement" foods at a value of 19.50 cents for each lunch served. you are the administrator in charge of the school lunch program for your school district. last month, the schools in your district served 27,000 free lunches, 18,000 "reduced-price" lunches, and 54,000 regular-priced lunches. (a) calculate the amount of reimbursement (in $) you expect to receive from the nslp for last month. $____. (b) in addition to the lunch reimbursement, the nslp program pays your district $.035 per one-half pint of milk served with each meal. if each student averaged 1 one-half pint of milk per meal, calculate the total amount of milk reimbursement (in $) you expect for last month. $_____ . (c) the bottom linewhat is the total amount of reimbursement (in $) your district will receive for last month? $_______. (d) red tapethe government paperwork you must submit requires that you report the average reimbursement (in $) per meal for both lunch and milk combined last month. calculate this amount. (round your answer to the nearest cent.) $________. Read each of the statements below. If the statement is true, then write "True" in the spaceprovided. If the statement is false, then write "False" and fix the statement so that it is true Summarize at least 3 elements of an ideal tragedy, as described by Aristotle. If b=4 and c=5, what is the value of bc+b-c mily is booking plane tickets online. Which expression best describes her activity?A. la llamada telefnica a la compaaB. ir a la pagina de reservas por InternetC. visitar la agencia de viajeD. ir a la oficina de turismo para obtener informacin 6.hours worked per worker has declined over the last 50 years yet hours per capita have remained roughly constant. how did this happen? PLEASE HELP MODULE SEVEN TEST QUESTION 11)Zach completed the following experiment to see what happens to differently charged objects when they come close to each other. Based on the observations that he collected, his teacher told him there is an error in his table. How can Zach correct his table? A positively charged dress and a negatively charged beach ball will attract each other, so Zach should change "repel" to "attract" for these objects. A negatively charged T-shirt and a positively charged chair will repel each other, so Zach should change "attract" to "repel" for these objects. A negatively charged beach ball and a negatively charged T-shirt will attract each other, so Zach should change "repel" to "attract" for these objects. A negatively charged glove and a positively charged dress will repel each other, so Zach should change "attract" to "repel" for these objects. Fountain Corporation's economists estimate that a good business environment and a bad business environment are equally likely for the coming year. The managers of Fountain must choose between two mutually exclusive projects. Assume that the project Fountain chooses will be the firm's only activity and that the firm will close one year from today. Fountain is obligated to make a $3,500 payment to bondholders at the end of the year. The projects have the same systematic risk but different volatilities. Consider the following information pertaining to the two projects:a. What is the expected value of the firm if the low-volatility project is undertaken? What if the high-volatility project is undertaken? Which of the two strategies maximizes the expected value of the firm? explain Train subordinates for greater responsibility If you pick a coin from a bag, then without replacing it pick another coin what is the probability it will be a nickel and not a quarterYou have 1 quarter 3 dimes and 2 nickels Monochromatic light of variable wavelength is incident normally on a thin sheet of plastic film in air. The reflected light is a maximum only for = 444.3 nm and = 622.0 nm in the visible spectrum. What is the thickness of the film (n=1.57)? [Hint: assume successive values of m.] Express your answer to three significant figures and include the appropriate units ***please put units also it has to to be three significant figures**** what impact does access to healthcare/family planning/ abortionservices have on the lives of women? What are examples of enumerated rights?. Kirsten's house is located at a point on the map that is7 miles west and 2 miles south of the center of town. She drives to a movietheater, which is 5 miles east and 3 miles north of the center of town. Ifthe image represents the road she drove, how far did she travel?