QUESTION 1 1 POINT
Jason bought new shoes priced at $75 and sales tax is 6%. What is the total cost of the shoes after-tax?
Provide your answer below:

Answers

Answer 1

The total cost of the shoe after tax is $79.50

Calculating total cost after sales tax

From the question, we are to determine the total cost of the shoes after tax.

From the given information,

Jason bought new shoes priced at $75

and

The sales tax is 6%

The total cost of the shoe = Price of the shoe + Sales tax

Sales tax = 6% of $75

Sales tax = 0.06 × $75

Sales tax = $4.50

Thus,

Total cost of the shoe = $75 + $4.50

Total cost of the shoe = $79.50

Hence, the total cost is $79.50

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Related Questions

A store is having a sale on walnuts and chocolate chips. For 6 pounds of walnuts and 5 pounds of chocolate chips, the total cost is $28. For 2 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $14. Find the cost for each pound of walnuts and each pound of chocolate chips.

Answers

Answer:

chocolate- 2 dollars walnuts- 4

Step-by-step explanation:

2 x3=6. 14-6=8

8÷2=4

2 3/5 divided by 9 3/5

Answers

Answer:

as decimal

0.27083333333

Answer:

2 3/5 divided by 9 3/5 is 32

could you describe the expression 2(3+4) as a product of two factors explain

Answers

The expression 2(3+4) can be expressed as 2×7

What are factors?

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

For example the factors of 8 are 1,2,4,8. i.e 1×8=8, 2×4= 8

considering the expression 2(3+4), the value is 2(7)= 14

Therefore the expression can be expressed as product of two factors (2 and 7) as 2×7.

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A line intersects the points
(8, -4) and (-6, 10).
m = -1
Write an equation in point-slope form
using the point (8, -4).
-
y + 4 = [?] (x −
Enter

Answers

Answer:

y + 4 = -(x - 8)

Step-by-step explanation:

The point-slope form equation is y - y1 = m(x - x1)

Since we're given m and since they use the 4 from (8, -4) as y - (-4) = y+4, we simply need to plug in 8 into the RHS of the equation and you can check the math.

If you substitute 8 and -4 for y and x, you have:

-4 + 4 = -1(8 - 8)

0 = -1 * 0

0 = 0

You'd get -2 on both sides if you used -6 and 10, but having an equal equation means our math is true/accurate.

Write a linear function f with f(0)=7 and f(3)=1

y=mx+b

Answers

The linear function f with  f(0) = 7 and f(3) = 1 is  y = -2x + 7

How to represent linear equation?

Linear equation can be represented in slope intercept form as follows:

y = mx + c

where

m = slopec = y-intercept

Therefore,

f(0) = 7 and f(3) = 1

Using linear equation

7 = m(0) + b

b = 7

1 = m(3) + 7

1 - 7 = 3m

-6 = 3m

m = - 6 / 3

m = -2

Therefore, the linear function is y = -2x + 7

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What is the slope of the
function below?
(4,4)
(3, 3)
Slope = [?]

Answers

Answer:

slope is m=1

Step-by-step explanation:

Answer: 1

Step-by-step explanation: use the slope formula to find the slope m

Solve for a : a+4/5= 1/ 1/2

Answers

Answer:

[tex]a=\frac{6}{5}[/tex].

Step-by-step explanation:

1. Write the expression.

[tex]a+\frac{4}{5} =\frac{1}{\frac{1}{2} }[/tex]

2. Convert the right hand side of the equation (check attached image 1).

[tex]a+\frac{4}{5} =1*\frac{2}{1} \\ \\a+\frac{4}{5} =2[/tex]

3. Subtract 4/5 from both sides of the equation.

[tex]a+\frac{4}{5}-\frac{4}{5} =2-\frac{4}{5}\\ \\a=\frac{2}{1}-\frac{4}{5}\\\\a=\frac{2*5}{1*5}-\frac{4}{5}\\ \\a=\frac{10}{5}-\frac{4}{5}\\ \\a=\frac{10-4}{5} \\ \\a=\frac{6}{5}[/tex]

4. Verify your answer.

[tex](\frac{6}{5} )+\frac{4}{5} =\frac{1}{\frac{1}{2} }\\ \\\frac{10}{5} =2\\ \\2=2[/tex]

5. Conclude.

[tex]a=\frac{6}{5}[/tex].

In how many ways can the digits in the number 7,550,000 be​ arranged

Answers

The number of ways the digits of the given number can be arranged would be = 5,040

What is factorials?

Factorials are mathematical expressions that are used to show the number of ways a variable can be arranged in a data set.

The number of digits found in the number 7,550,000 = 7

The number of ways the digits can be arranged would be the factorials of 7 (7!) ;

= 7×6×5×4×3×2×1

= 5,040

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c) ¿Cuántas combinaciones se pueden hacer en seleccionar los tres lugares ganadores de una carrera de 15
caballos?

Answers

Hay un total de 2730 combinaciones posibles.

¿Qué es permutación y combinación?Las permutaciones y combinaciones forman principios de conteo, que se aplican en muchas situaciones diferentes. Una permutación es el número de arreglos diferentes que se pueden hacer a partir de un conjunto dado. Cuando se trata de permutaciones, los detalles importan porque el orden o el orden importan. Este orden en el que escribe los nombres de los países es importante, ya que escribir los nombres de los tres países {EE. UU., Brasil, Australia} o {Australia, EE. UU., Brasil) o {Brasil, Australia, EE. UU.} es diferente. En combinación, los nombres de los tres países son solo un grupo, y el orden o secuencia no importa. Obtenga más información sobre permutaciones y combinaciones en el siguiente contenido. Las permutaciones y las combinaciones son métodos que se utilizan para contar el número de resultados posibles en diversas situaciones. Las permutaciones se entienden como arreglos y las combinaciones se entienden como alternativas. Siguiendo los principios básicos del conteo, hay reglas de suma y reglas de multiplicación para una fácil aplicación del conteo. Supongamos que hay 14 niños y 9 niñas. Al elegir un niño o una niña como maestro de salón, el maestro de salón puede elegir 1 de cada 14 niños y 1 de cada 9 niñas. Puede hacerlo en sus 14 + 9 = 23 maneras (usando la regla de la suma de conteo).Cálculo

en carrera de 15 caballos si se consideran 3 posiciones

entonces número de combinaciones posibles = 15 * 14 * 13 = 2730 combinaciones posibles

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Melinda needed to mail a package. She used .02 stamps and .10 stamps to mail the package. If she used 15 stamps worth .78 how many of each type of stamp did she use

Answers

The number of each type of stamp used is as follows:

9 of 0.02 stamps6 of 0.1 stamps

How to find how many of each type of stamp used?

Melinda needed to mail a package. She used .02 stamps and .10 stamps to mail the package. She used 15 stamps worth 0.78. The number of each type of stamp she used can be calculated as follows:

let

x = number of 0.02 stamp

y = number of 0.10 stamp

Using system of equation,

x + y = 15

0.02x + 0.10y = 0.78

multiply equation(ii) by 50

x + y = 15

x + 5y = 39

4y = 24

y = 24 / 4

y = 6

Hence,

x = 15 - 6

x = 9

Therefore, the number of 0.02 stamps is 9 and the number of 0.10 stamp is 6.

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Suppose that the function fis defined, for all real numbers, as follows.
f(x)
-2 if x #2
4 if x=2
Find f(-1), f(2), and f(5).
f (-1)
f(2)
f(5)

Answers

The value of the functions f(-1), f(2), and f(5) are -2, 4, -2 respectively.

What is the function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). The number of dependent variables for a function is 1 and the number of independent variable for a function is 1.

Given function is:

[tex]f(x)=\left\{\begin{matrix}-2 & \text{if } x \ne2 \\ 4 & \text{if } x=2\end{matrix}\right.[/tex]

The meaning of the above function is when x is not equal 2, then the value of f(x) is -2 and when x is equal 2, then the value of f(x) is 4.

The dependent variable is f(x). The independent variable is x.

So the value of f(-1) is -2 since x = - 1 ≠ 2.

So the value of f(2) is 4 since x = 2.

So the value of f(5) is -2 since x = 5 ≠ 2.

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Given the inequality 4(n − 5) < 3(n + 11), determine which integer makes the inequality false.

S:{4}
S:{11}
S:{53}
S:{−8}

Answers

Answer:

C

Step-by-step explanation:

4(n-5)<3(n+11)

4n-20<3n+33

4n-3n<33+20

n<53

n is not 53 but less than 53.

Word problem involving the Pythagorean Theorem
A kite is flying 8 ft off the ground. Its line is pulled taut and casts a 6-ft shadow. Find the length of the line. If necessary, round your answer to the nearest
tenth.
6
0f
x 5

Answers

The length of the line is 10ft  

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse in familiar algebraic notation, a2 + b2 = c2

Given that A kite is flying 8 ft off the ground. Its line is pulled taut and casts a 6-ft shadow

We have to find a third side

By using Pythagoras' theorem. a^2+b^2=c^2

8^2+6^2=c^2

64 +36 = c^2

c^2= 100

c^2= 10

Therefore the length of the line is 10ft

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17 Solve the inequality. Graph the solution. 4.2y ≤ -12.6 The solution is and then where it goes on thr number line

Answers

The solution to this inequality in interval notation is {-∞, -3} and it goes to the left on the number line.

What is an inequality?

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data such as integers, and variables in an equation based on any of the following inequality symbols:

Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).

From the information provided, we have the following inequality:

4.2y ≤ -12.6

Dividing both sides of the inequality by 4.2, we have the following:

y ≤ -12.6/4.2

y ≤ -3

In conclusion, a solution to this inequality is equal to {-∞, -3} as shown in the number line (graph) attached below.

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Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read. (1 point)



















2. Write an equation to represent the number of pages Jesse has read.
Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read. (1 point)
















3. Write the system of equations using your answers from questions 1 and 2.
(2 points)















5. Solve the system of equations. Show your work. (2 points)








6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read? (2 points)

Answers

1. An equation representing the number of days Amir has been reading and the number of pages he has read is y = 35x.

2. An equation representing the number of days Jesse has been reading and the number of pages she has read is y = 30 + 30x.

3. The system of equations from 1 and 2 is y = 35x and y = 30 + 30x.

4. At the end of Friday, after solving the equations, both Jesse and Amir read 210 pages each, with Jesse spending 7 days and Amir 6 days.

5. For Jesse and Amir, the equation solutions are y is 210 pages and x is 6 days.

6. After solving the equations, it will take Amir 6 days to catch up with Jesse and each person must have read 210 pages or a total of 420 pages.

What is a system of equations?

A system of equations involves using more than one equation solved simultaneously.

Jesse's reading rate per day = 30 pages

Amir's reading rate per day = 35 pages

The number of pages read by Jesse, y = 30 + 30x

The number of pages read by Amir, y = 35x

Where x = the number of days they have been reading

Solving the equations:

y = 30 + 30x and y = 35x

35x  = 30 + 30x

35x - 30x = 30

5x = 30

x = 6 (30/5)

Jesse:

y = 30 + 30x

y = 30 + 30(6)

y = 210

Amir:

y = 35x

y = 35(6)

y = 210

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Graph the equation y= - 7/2 x + 2 on the coordinate plane

Answers

Refer to the attachment for your graph.

Complete the number sentence. Must show your work. Please help! I’m confused

Answers

Answer:

2 + (-10) = 12

Step-by-step explanation:

The great answers. Thank you. I hope for help to you.

2 + (-10) = -8
-9 + (-13) = -22
-25 + 16 = -9
-16 + (-13) = -29

Find a point-slope form for the line that satisfies the stated conditions. Slope 4, passing through (-8,1)​

Answers

Answer: (y - 1) = 4(x + 8)

Step-by-step explanation:

The point-slope form is (y - y₁) = m(x - x₁), where:

m = slope = 4(x₁, y₁) = (-8, 1)

So, the point-slope of this line would be (y - 1) = 4(x + 8).

The mean of 6 numbers is 8.
The numbers are in the ratio 1 : 1 : 2 : 2 : 3 : 3.
Find the range.

Answers

The range of six numbers is 8

According to the question,

Total number of Number = 6

Mean of number = 8

Ratio of numbers = 1 : 1 : 2 : 2 : 3 : 3

Let the common factor in numbers be "x"

Then , sum of number will be x + x + 2x + 2x + 3x +3x

=> 12x

Mean = sum of quantity / Number of quantity

8 = 12x / 6

Calculating the value of x,

12x = 48

=> x = 4

Substituting the value of x,

Number will be : 4 , 4 , 8 , 8, 12 , 12

Range = highest number - smallest number

Here , highest is 12 and smallest is 4

Therefore , Range = 12 - 4

=> 8

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An advertiser goes to a printer and is charged $42 for 50 copies of one flyer and $61 for 150 copies of another flyer. The printer charges a fixed setup cost plus a charge for every copy of single-page flyers. Find a function that describes the cost of a printing job, if is the number of copies made. C(x) =

Answers

Answer:

c(x) = .19x + 32.50

Step-by-step explanation:

The cost depends on the number of copies.  The x value is the number of copies and the y value is the cost

c(x) = mx + b  We need to find the rate of change.

(50,42) (150.61)  The rate of change is the change in y over the change in x.

The y values are 61 and 42.  The x values are 150 and 50

[tex]\frac{61-42}{150-50}[/tex] = [tex]\frac{19}{100}[/tex] = .19

We also need the y intercept.  We will use the slope of .19 and the x and y values of one of the points. We could use either point, I am going to use the point (50,42)

y = 42

x = 50

m =.19

y=mx + b

42 = .19(50) + b

42 = 9.5 + b  Subtract 9.5 from both sides

32.50 = b

y = mx + b

y = .19x + 32.50 or

c(x) = .19x + 32.50

HELP ME PLEASE
not sure what to do

Answers

Since we are give the area, the length, and the width, we could put it in a formula.


2592=(16)(12)h


Multiply 16 x 12= 192


So now the formula is 2592= 192h


lastly, we divide 192 from 2592


h= 13.5 mm

Divide: 5,108 ÷ 5
How many groups?

Answers

The groups would 1 x 1000+  2 x 10 + 1 x 1 + 6 x 1/10

what is Division?

One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components. How many groups will be created, for instance, if 30 students need to be separated into groups of five for a sporting event? The division operation can be used to quickly and easily fix such issues. In this case, we must divide 30 by 5. 30 x 5 = 6 will be the outcome.

Given:

Divide: 5,108 ÷ 5

Now, dividing

   5 | 5108  | 1021.6

        5

   _______

        0 10

            10

        _____

             0 8

                 5

          _____

                 3 0

                 3 0

               ______

                   0

Hence, the groups would 1 x 1000+  2 x 10 + 1 x 1 + 6 x 1/10

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A local farmer had a mouse problem in his barn. He estimated there were about 800 mice to start with. He adopted some cats and noticed that the number of mice was decreasing by 8%/wk. The graph models the number of mice x weeks after the farmer adopted the cats.

Identify and interpret the key features of the exponential function modeled in terms of this situation.

Select each correct answer.

The asymptote indicates that as the number of weeks the farmer has had the cats increases, the population of mice approaches 0.

The y-intercept represents the number of mice the farmer had in the barn at the time he adopted the cats.

The line x = 0 is an asymptote of the graph.

The point (0,30) contains the x-intercept.

The line y = 0 is an asymptote of the graph.

The y-intercept is 800.

The asymptote indicates that there were never more than 800 mice in existence.

Answers

Answer:

The asymptote indicates that as the number of weeks the farmer has had the cats increases, the population of mice approaches 0.

The y-intercept represents the number of mice the farmer had in the barn at the time he adopted the cats.

The line y = 0 is an asymptote of the graph.

The y-intercept is 800.

Step-by-step explanation:

Took the test

−18 < 9x
how to solve and answer

Answers

Answer:

x> 2

Step-by-step explanation:

18< 9x  Divide both sides by 9

2<x  or x > 2  All the numbers greater than 2 is a solution.

The function f(x) is graphed below. How many points on the graph
represent a relative extreme value?

Answers

From the given graph of the function, the number of points on the graph representing relative extreme value are two (b and d).

As given in the question,

For the given graph of a function,

Number of points represented on the graph are 5

Points are a, b, c, d, e

Point a, c, e are on the x-axis.

Relative extreme value representing the maximum and minimum value of the graphed function.

For the given graph,

Maximum value represented by point d.

Minimum value represented by point b.

Number of points representing relative extreme values are 2 ( b and d).

Therefore, from the given graph of the function, the number of points on the graph representing relative extreme value are two (b and d).

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Write an equation for line L in point-slope form and slope-intercept form.
L is parallel to y = 5x.
-6
-4
-2
Ay = 5x
6-
4
2
-6
L
(3,2)
6
X
5

Answers

Answer:
y-2=5x(x-3) - point slope form
y=5x-13 - slope intercept form

PLEASE HELP ASAP! WILL GIVE BRAINLIEST AND FIVE STAR RATING FOR ACTUAL HELP! Describe the function‘s end behavior. f(x)=−10+6x^5+4x^3
as x→ ∞, f(x)→
as x→ −∞, f(x)→

Possible answers for both are:

-∞



0

an asymptote

Answers

Answer: As x approaches infinity, f(x) approaches infinity.

As x approaches -infinity, f(x) also approaches - infinity.

Step-by-step explanation:

You can either graph this function on an online graphing (such as desmos. com) calculator to see the end behavior, or you can try inputting some numbers in. You could put in the number 1,2,3 and see that the graph will keep on increasing to positive infinity, and input the numbers -1,-2,-3 to see that the numbers will decrease to negative infinity.

A bag has 2 red, 3 green, and 6 orange balls. If a ball is randomly selected from the bag, what is the theoretical probability
that it is the color specified in parts (a) through (d).
a) green
b) not green
c) orange
d) not orange
***

Answers

Using theoretical probability, the probability of selecting green ball is 3/11, not selecting green ball is 8/11, selecting orange ball is 6/11 and not selecting orange ball is 5/11.

In the given question,

A bag has 2 red, 3 green, and 6 orange balls.

So total number of balls = 2+3+6 = 11

We have to find the theoretical probability.

(a) We have to find the theoretical probability of selecting green ball.

P(G) = Total number of green balls/Total number of balls

P(G) = 3/11

Hence, the probability of selecting green ball is 3/11.

(b) Now we have to find the theoretical probability of not selecting green ball.

Except green ball there is having red and orange i.e.

Total remaining balls except green = 2+6 = 8

P(G) = Total number of balls except green balls/Total number of balls

P(G) = 8/11

Hence, the probability of not selecting green ball is 8/11.

(c) Now we have to find the theoretical probability of selecting orange ball.

P(G) = Total number of orange balls/Total number of balls

P(G) = 6/11

Hence, the probability of selecting green ball is 6/11.

(d) Now we have to find the theoretical probability of not selecting orange ball.

Except orange ball there is having red and green balls i.e.

Total remaining balls except orange = 2+3 = 5

P(G) = Total number of balls except orange balls/Total number of balls

P(G) = 5/11

Hence, the probability of not selecting orange ball is 5/11.

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The average daily profit of an electronics store is $31,435. The company estimates that 15% is lost each day to returns, with a margin of error of ±4%. What is the maximum the company can expect for returned items?
$3457.85
$4621.13
$5972.65
$6638.22

Answers

Answer:

Step-by-step explanation:

The maximum that the company can expect for returned items is C. $5972.65

How to calculate the value?

From the information, the average daily profit of an electronics store is $31,435 and the company estimates that 15% is lost each day to returns, with a margin of error of ±4%.

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings. Simply said, you may determine the degree of unpredictability in data and research results using the margin of error.

The maximum the company can expect for returned items will be:

= (15% + 4%) × Profit

= 19% × $31,435

= 0.19 × $31,435

= $5972.65

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Suppose you earned a $710,000 bonus this year and invested it at 8.25% per year. how much could you withdraw at the end of each of the next 20 years? select the correct answer.

Answers

Withdraw at the end of each of the next 20 years is [tex]710000(1.0825)^{20}[/tex]

What do you mean by simple interest and compound interest?

Simple interest can be defined as the amount that is paid back using borrowed money over a period of time.

simple interest:

Simple interest can be defined as the principal of a loan or deposit that an individual puts into a bank account.

Compound interest:

Compound interest is interest that accrues on the principal and accrues interest.

Given:

Principal, P = $710000

Rate of interest, r = 8.25%

Time period, t = 20 years

withdrawal at the end of 20 years , A = [tex]P(1+r)^{t}[/tex]

A = [tex]710000(1+8.25/100)^{20}[/tex] = [tex]710000(1+0.0825)^{20}=710000(1.0825)^{20}[/tex]

Therefore, withdraw at the end of each of the next 20 years is [tex]710000(1.0825)^{20}[/tex]

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selective listening is a reasonable thing to do when screening commercials and keeping an ear out for the weather report Fill in the blank question.Your sibling drops your house keys down to you from the second-floor window, as shown in the image. What is the velocity of the keys when you catch them? brainliest to the first person to answer Part A and Part B right!! ^^(brainliest + 25 points) Which president began what is now called national native american heritage month?. a waste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hold 29 yd3 of debris. find the dimensions of the dumpster that will minimize its surface area. Rewrite the equation in Slope-Intercept Form (y = mx + b)y+1=2(x-4) Imagine you were the dog keeper who fought and tamed Buck. Write a diary entry reflecting on your encounter with the dog. Luc, a vehicle dealer, offers to sell mel a truck and trailer, which luc claims can haul a certain weight. He knows nothing about the capability of the truck, but it is not as he asserts. Mel buys the truck. On learning the truth, mel confronts luc, who says he was not trying to fool melhe was only trying to make a sale. This is. Find the value of each variable.Simplify your answers as much as possible.If necessary, you may learn what the markings on a figure indicate. NEED ANSWER QUICK TODAYDescribe the Montevideo flood Identify a cause of elevated levels of emotional or behavioral difficulties among a minority of adopted children in the United States Hawthorne suggests the trees are "alive" in "Young Goodman Brown." What is this an example of? A. onomatopoeiaB. anthropomorphismC. alliterationD. Personificationplease hurry i need this today Suppose your company sells a 3 pack of lenses that attach to smart phones to improve the quality of pictures people take. You pay $29.95 for each 3 pack and sell them for $59.95. What is your Cost of Goods Sold Percentage for this item? read each of the following descriptions. match each description to one of the zone control system types listed. provides cooling only and the air handlers are not constantly operating at full capacity. answer 1 choose... provides temperature and humidity control for multiple zones and includes a cooling coil at the air handling unit and then a heating coil is located in each zone to provide the required temperature for that zone. answer 2 choose... serves very large buildings with many zones and is flexible to allow for easy expansion. answer 3 choose... warmed and cooled air flows through separate duct systems and mixes the warmed and cooled air together in a terminal located in a space. answer 4 choose... a system that uses refrigerant coils and does not need ductwork. answer 5 choose... What does your ideal Saturday look like? As the dry bulb temperature increases with a constant temperature difference, what happens to the relative humidity?pls help Copy the triangle. Start at any vertex and label the triangle as WVU..What sides include The number of students in nine faculties of a university are given as 168, 285, 397, 331, 383, 359, 366, 280 and 369 Find the mean number of students per Faculty A taxpayer may deduct interest expense paid on qualified _____ loans where the proceeds were used for tuition, fees, books, and other necessary expenses. The interest is deductible _____ (for/from) AGI. A sailboat is headed due north, and its sail is set perpendicular to the wind, which is from the south of west. The component of the force of the wind in the direction of the heading is 480N, and the component perpendicular to the heading (the drift component) is 650 N. What is the force exerted by the wind, and what is the direction of the wind?