The cost, C, in dollars, of playing g games at an arcade game
center is modeled by the linear function C = 0.5g + 2.
Determine the rate of change of the function and explain
what this value means in terms of the context.
Determine the initial value of the function and explain what
this value means in terms of the context.

Answers

Answer 1

The rate of change is 0.5 which means that each game cost .50 cents

The initial value is 2 which means that you must initially pay $2.00

Answer 2
Final answer:

The rate of change of the function C = 0.5g + 2 is 0.5, indicating a cost increase of $0.50 per game. The initial value is 2, representing the fixed entry fee at the arcade.

Explanation:

The rate of change of the function C = 0.5g + 2, which represents the cost, C, in dollars, of playing g games at an arcade game center, is the coefficient of g, whic h is 0.5. Thisvalue means that for each additional game played, the cost increases by $0.50. The initial value of the function is the constant term, which is 2. This represents the starting fee or fixed cost at the arcade game center before any games are played.

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Related Questions

Point R is the midpoint of line QS. R is located at (5, -7.5) S is located at (-1,-13) What is the location of Point Q?

Answers

Answer: ( 11, -2 )

Step-by-step explanation:

The mid point of a line is calculated using the formula:

M = ([tex]\frac{x_{1}+x_{2}}{2}[/tex] , [tex]\frac{y_{1}+y_{2}}{2}[/tex] )

From the question , the mid point is already given , substituting , we have :

(5 , - 7.5 ) = ([tex]\frac{x-1}{2}[/tex] , [tex]\frac{y-13}{2}[/tex] )

Equating the x component to x and the y component to y , we have

5 = [tex]\frac{x-1}{2}[/tex]

x - 1 = 10

x = 11

Also

- 7.5 = [tex]\frac{y-13}{2}[/tex]

-15 = y - 13

-15 + 13 = y

Therefore : y = -2

Therefore : the location of point P is ( 11, -2 )

Use the values in the table to determine the slope

Answers

The table is not given

what is the solution of |-1 + x| = 5

Answers

Answer:

6, -4

Step-by-step explanation:

abs(-1+x)=5

-1+x=5 and -1+x=-5

-------------------------

-1+x=5

x=5-(-1)=5+1=6

-------------------

-1+x=-5

x=-5-(-1)=-5+1=-4

Convert 6 4/5 into an improper fraction

Answers

Answer:

34/5

Step-by-step explanation:

6*5=30 + 4 = 34

34/5

Final answer:

The mixed number 6 4/5 can be converted into an improper fraction by multiplying the whole part by the denominator and adding the numerator to the result, giving us 34/5.

Explanation:

To convert the mixed number 6 4/5 into an improper fraction, you follow these steps:

Multiply the whole part of the mixed number (which is 6 in this case) by the denominator of the fractional part (which is 5).Add the result to the numerator of the fractional part (which is 4). This is your new numerator.The denominator of the improper fraction remains the same as the denominator of the fractional part in the mixed number.

So, (6*5)+ 4 = 34. Therefore, the mixed number 6 4/5 can be written as the improper fraction 34/5.

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the equation.
44. 1b = 28

Answers

44.1b divided by 44.1 cancels out then whatever you do to one side of the equation you do to the other so 28/44.1=0.63 so in conclusion b=0.63.

You visit an animal rescue in Australia that serves primarily kangaroos and dingoes. You ask the zookeeper how many of each animal they have, and she decided to test your reasoning ability. She tells you that when she feeds the animals she counts a total of 116 feet where kangaroos have two feet and dingoes have 4 feet. She can also count a total of 34 heads. How many kangaroos and dingoes are at this animal rescue?

Answers

There are 10 kangaroos and 24 dingoes in this animal rescue.

Step-by-step explanation:

Given,

Total head count = 34 heads

∴ Kangaroos + Dingoes = 34

Let us assume,

Number of kangaroos as "x" and number of dingoes as "y"

The equation can be framed as x + y = 34

The number of feet for kangaroo = 2 feet

The number of feet for dingoes = 4 feet

The total number of feet = 116 feet

So, the equation can be framed as 2x + 4y = 116

Step 1 : Muliply the 1st equation by 2.

The new equation is 2x + 2y = 68

step 2 : Subtract the above equation with the second equation.

    2x + 2y = 68

  -2x - 4y = -116

          -2y = -48

step 3 : Therefore, y =24. Substitute y=24 in the 1st equation.

x + 24 = 34

x = 34-24

x = 10

Kangaroos, x = 10 kangaroos

Dingoes, y = 24 dingoes

Final answer:

To find the number of kangaroos and dingoes, we can use a system of equations to solve for their values. Given the number of feet and heads, we can form equations to represent these quantities. Solving these equations simultaneously yields the solution of 10 kangaroos and 24 dingoes.

Explanation:

To solve this problem, we can use a system of equations. Let's denote the number of kangaroos as 'k' and the number of dingoes as 'd'. We are given two pieces of information:

1. The total number of feet is 116, where each kangaroo has 2 feet and each dingo has 4 feet. So, the equation would be: 2k + 4d = 116.

2. The total number of heads is 34. Since each animal has only one head, the equation would be: k + d = 34.

We can solve these equations simultaneously to find the values of k and d. Multiplying the second equation by 2, we get: 2k + 2d = 68. Subtracting this equation from the first equation, we have: (2k + 4d) - (2k + 2d) = 116 - 68. Simplifying, we get: 2d = 48. Dividing both sides by 2, we find that d = 24.

Substituting this value back into the second equation, we can find k: k + 24 = 34, k = 10.

Therefore, there are 10 kangaroos and 24 dingoes at the animal rescue.

What is the distance, on a coordinate plane, between the points G(2.-3) and D(2, 4)?

Answers

Answer:

Therefore ,the distance, on a coordinate plane, between the points G(2.-3) and D(2, 4) is [tex]GD = 7\ units[/tex]

Step-by-step explanation:

Given:

point G( x₁ , y₁) ≡ ( 2 ,-3)  

point D( x₂ , y₂) ≡ (2 , 4)  

To Find:

Distance between GD=?

Solution:

Distance Formula between two point is given by

[tex]l(GD) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}[/tex]

Substituting the values we get

[tex]l(GD) = \sqrt{((2-2)^{2}+(4-(-3))^{2} )}[/tex]

[tex]l(GD) = \sqrt{((0)^{2}+(4+3))^{2} )}=\sqrt{49}=7\\l(GD)=7\ units[/tex]

Therefore ,the distance, on a coordinate plane, between the points G(2.-3) and D(2, 4) is [tex]GD = 7\ units[/tex]

How to solve the word problem The ant walked 53 cm. The caterpillar crawled 22 cm farther than the ant. How far did the caterpillar crawl?

Answers

If the caterpillar crawled 22cm farther than the ant, then we are adding 53 and 22 to get 75cm.

Answer:

75cm

Step-by-step explanation:

53 + 22 = 75

The owner of a small store buys coats for ​$60.00 each. He sells the coats for ​$96.00 each. What percent of the purchase price is the sale​ price?

Answers

The sale price of the coats is 160% of the purchase price of the coats.

Step-by-step explanation:

The owner buys the coats at a purchase price= $60

He sells the coats for a selling price= $96

Now, the question is:

The selling price $96 is what percentage of the purchase price $60

step 1: 96= x% of 60

step 2: 96= (x/100)*60

step 3: 96= 6x/10

step 4: 960/6 = x

step 5: x = 160%

Let u = <-3,4>, v = <8, 2>. Find u + v.

Answers

Answer:   < 5, 6 >

=================================================

Explanation:

In general if

u = < a, b > and v = < c, d >

then,

u+v = < a+c, b+d >

Basically we add the x coordinates separately and the y coordinates are added separately.

----------

So,

u = < -3, 4 >

v = < 8, 2 >

u + v = < -3+8, 4+2 >

u + v = < 5, 6 >

HELP. I NEED UR HELP. THIS IS DUE AT 2:30 IM SERIOUS PLEASE HELP ME. DONT IGNORE THIS PLEASE, ITS ONLY 2 QUESTIONS, HELP A POOR MAN OUT PLS

Answers

cannot see all of the first question but for the paint question: if he’s got 1 1/3 gallons and 3/6 gallons already, 3/6 can be reduced to 1/2 then added to the 1 1/3 to give him a total of 1 3/4 gallons. 4 1/2 - 1 3/4 means he’ll need 2 and 3/4 gallons.

Two fractions have denominators 4 and 6. Their sum is 19/12
If the numerators are switched their sum is 7/4
Determine the value of the numerators.​

Answers

The value of numerators are 3 and 5

Solution:

Let the numerators of two fractions be x and y

Two fractions have denominators 4 and 6. Their sum is 19/12

Therefore,

[tex]\frac{x}{4} + \frac{y}{6} = \frac{19}{12}[/tex]

Cross multiply L.H.S to get simplified

[tex]\frac{6x+4y}{24} = \frac{19}{12}\\\\6x + 4y = 38 ------- eqn 1[/tex]

If the numerators are switched their sum is 7/4

Therefore,

[tex]\frac{y}{4} + \frac{x}{6} = \frac{7}{4}[/tex]

On simplification, we get

[tex]\frac{6y + 4x}{24} = \frac{7}{4}\\\\4x + 6y = 42 -------- eqn 2[/tex]

Solve eqn 1 and eqn 2

Multiply eqn 1 by 4

24x + 16y = 152 --------- eqn 3

Multiply eqn 2 by 6

24x + 36y = 252 ---------- eqn 4

Subtract eqn 3 from eqn 4

24x + 36y = 252

24x + 16y = 152

( - ) -------------------

20y = 100

y = 5

Substitute y = 5 in eqn 1

6x + 4(5) = 38

6x = 38 - 20

6x = 18

x = 3

Thus the value of numerators are 3 and 5

A certain forest covers an area of 4500 km^2. Suppose that each year this area decreases by 8.75%. What will the area be after 5 years?

Answers

The area of forest after 5 years is 2846.93 square kilometer

Solution:

Given that, A certain forest covers an area of 4500 square kilometer

Suppose that each year this area decreases by 8.75%

To find: Area after 5 years

The decrease function is given as:

[tex]y = A(1-r)^t[/tex]

Where,

y is the value after t years

A = initial amount

r = decreasing rate in decimal

t is the number of years

Here in this sum,

A = 4500

t = 5 years

[tex]r = 8.75 \% = \frac{8.75}{100} = 0.0875[/tex]

Substituting the values in formula,

[tex]\begin{aligned}&y=4500(1-0.0875)^{5}\\\\&y=4500(0.9125)^{5}\\\\&y=4500 \times 0.632651\\\\&y=2846.93\end{aligned}[/tex]

Thus the area of forest after 5 years is 2846.93 square kilometer

Please help me due today i really need help PWZZZZ someone i beg of u

Answers

Answer:

Step-by-step explanation:

8)Volume of cylinder = πr²h= π*3*3*10 =90π cubic inches

Volume of cone = 1/3πr²h = π*3*3*5/3= 15π cubic inches

Volume of rocket = 90π + 15π = 105π cubic inches

9) Matt made an error. radius = diameter/2 = 15/2= 7.5 cm.Instead using 7.5 in volume formula, he used diameter.

Which is NOT a factor affecting your Credit Score? Question 1 options: A.Types of Credit B. Salary C.Payment History D.Length of Credit History

Answers

Answer:

B salary

Step-by-step explanation:

Your employment status, salary, and bank account balances are never disclosed on your report and have no bearing on your rating.

What impact of Salary on Credit Score?

Although your income has no bearing on your credit score, it's still crucial to understand the five key components of a FICO credit score, the most widely used credit score by lenders.

History of payments (35%): Your credit score is mostly influenced by whether you have a history of making on-time payments on your credit accounts.

Your salary does not directly affect your credit score, but it does affect your ability to pay off credit card debt.

Therefore, Your race, gender, marital status, level of education, religion, political party, or source of income are all factors that are never taken into account when calculating your credit ratings.

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Question 1
Jeremy mowed three yards this week and charged $25 for the first one, $35 for the
second one, and $50 for the biggest yard. How much did he make this week mowing
yards?
$25
$85
$110
$50

Answers

Jeremy made 110 this week from mowings yards

Final answer:

This week, Jeremy made a total of $110 from mowing yards. This total was obtained by adding the amounts he earned from each yard: $25, $35, and $50.

Explanation:

To solve this problem, we will add together the amounts of money that Jeremy earned for each yard he mowed. This is because when we want to find out a total amount across several different items or events, we use addition.

First, Jeremy earned $25 for mowing the first yard. Then, he earned $35 for mowing the second yard. Finally, he mowed the largest yard and charged $50 for it.

Now we add these numbers together: $25 + $35 + $50 = $110.

So, Jeremy made a total of $110 mowing yards this week.

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use the method of completing the square to write the equations of the given parabola in this form:
(y-k)=a(x-h)^2
where a =0, (h,k) is the vertex, and x=h is the axis of symmetry.
Find the vertex of this parabola: y=-4x^2+8x-12

Answers

Answer:

The vertex is the point (1,-8)

Step-by-step explanation:

we have

[tex]y=-4x^{2} +8x-12[/tex]

Convert to vertex form

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]y+12=-4x^{2} +8x[/tex]

step 2

Factor the leading coefficient

factor -4

[tex]y+12=-4(x^{2} -2x)[/tex]

step 2

Complete the square. Remember to balance the equation by adding the same constants to each side

[tex]y+12-4=-4(x^{2} -2x+1)[/tex]

[tex]y+8=-4(x^{2} -2x+1)[/tex]

step 3

Rewrite as perfect squares

[tex]y+8=-4(x-1)^{2}[/tex]

therefore

The vertex is the point (1,-8)

Find the value of two numbers if their sum is 13 and their difference is 3

Answers

Consider the two numbers as

x and y

. From the given data, we write:

x−y=3

x+y=13

From the first equation, we determine a value for x.

x−y=3

Add y to both sides.

x=y+3

In the second equation, substitute x with (y+3).

x+y=13

(y+3)+y=13

Open the brackets and simplify.

y+3+y=13

2y+3=13

Subtract 3 from each side.

2y=10

Divide both sides by 2.

y=5

In the first equation, substitute y with 5.

x−y=3

x−5=3

Add 5 to each side.

x=8

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A family buys 4 airline tickets online. The family buys travel insurance that cost $19 per ticket. the total cost is $688. Let x represent the price of one ticket. Write an equation for the total cost. then find the price of one ticket​

Answers

Answer: 4x + 76 = 688, $153 per ticket

Step-by-step explanation:

there are 4 tickets but you don't know the price of the tickets. Let x represent the price. Insurance costs $19. They got insurance ($19) on all 4 tickets (19 x 4) to get a insurance total of $76.

To get the price of one ticket we need to solve the equation.

4x + 76 = 688

subtract 76 from both sides.

4x = 612

divide by 4.

x = 153

each ticket costs $153

Final answer:

The price of one airline ticket, without insurance, is $153. This was found by setting up an equation for the total cost (4 tickets plus insurance for each at $19 per ticket) and solving for the price of one ticket.

Explanation:

To solve the problem, we first set up an equation to represent the total cost for the family's purchase of 4 airline tickets with travel insurance. We let x represent the price of one ticket, and since the travel insurance costs $19 per ticket, the cost of insurance for one ticket can be represented as 19 + x. There are 4 tickets, so the total cost of insurance for four tickets is $19 multiplied by 4 (which equals $76). Therefore, the equation for the total cost is:

Total Cost = 4x (price of tickets) + $76 (cost of insurance for all tickets)

According to the question, the total cost for the family is $688. So we can set up the equation:

4x + 76 = $688

To find the value of x, we subtract 76 from both sides of the equation:

4x = $688 - $76

4x = $612

Now divide both sides by 4 to solve for x:

x = $612 / 4

x = $153

Therefore, the price of one ticket is $153.

Is 1/4 and 3/12 equal

Answers

1/4=.25

3/12=.25

yes they are equal

How do you do this math problem??


BRAINLEST for anyone who helps and explains!!

Answers

Answer:

It is angle k and angle l

Step-by-step explanation:

When opposite sides are given, especially for a right triangle, the longer the length the bigger the angle. The hypotenuse, which is across the right angle is always longest. The shortest side will always have the smallest angle. Check the image if it helps.

Find the tangent of T

Answers

Answer:

2.40

Step-by-step explanation:

tangent of an angle= opposite side/ adjacent side

tan(T)= RS/ RT

tan(T)= 12/5

tan(T)= 2.40 (nearest hundredth)

In a triangle, the measure of the first angle is five times the measure of the second angle. The measure of the third angle is 40 less than five times the measure of the second angle. What is the measure, in degrees, of each angle?

Answers

Answer:

s = 20   F = 100    T = 60

Step-by-step explanation:

F = 5s                F + s + T = 180

T = 5s - 40

I picked numbers until I found the one that worked. For me, 20 worked for the second angle.

The measure of first angle, second angle, and the third angle is 100, 20 and 60.

Given that,

In a triangle, the measure of the first angle is five times the measure of the second angle. The measure of the third angle is 40 less than five times the measure of the second angle.here we assume second angle be s, first angle be f and third angle be tt

Based on the above information, the calculation is as follows:

F = 5s                

F + s + T = 180

T = 5s - 40

Now

5s + s + 5s - 40 = 180

11s = 220

s = 20

F = 100

T = 100 - 40

= 60

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7X +15 X equals A. 21x b. 21x^ c. 22x d. 22x^

Answers

Answer: c. 22X

Step-by-step explanation:

Answer:

22x

Step-by-step explanation:

7 + 1 5

or

7+15

22

I need help with my ixl problem please help as soon as possible and tell me what the blanks are pls

Answers

This equation would be y = 4x-7 because if you plug in the point (3,5) 4 times 3 is twelve and 12 minus 7 is 5

Write an algebraic expression: X squared less than 15

Answers

15-x squared. this is because x squared is less then 15 so you would subtract it from 15.

Final answer:

An algebraic expression that represents 'x squared is less than 15' can be written directly as 'x² < 15', without additional mathematical operations.

Explanation:

The question asks for an algebraic expression that represents the inequality 'x squared is less than 15'. This is straightforward to write and does not require completing the square or solving a quadratic equation. The algebraic expression that correctly represents this inequality is simply x² < 15.

To explain further, the inequality suggests that the square of x (x²) must be less than the value 15. We do not need to perform any additional steps or manipulations like factoring or applying the quadratic formula, as the expression represents a basic inequality in its simplest form.

I need answer for this​

Answers

The perimeter of the garden is 57.14 m and

the total area of the garden is 178.28 sq. m.

Solution:

Given length of the rectangle = 16 m

Width of the rectangle = 8 m

Radius of the semi-circle = half of the width of the rectangle

Radius = 4 cm

Perimeter of the garden is two lengths of the rectangle and 2 curve sides of the semi-circle.

Perimeter = [tex]2l+2(\frac{2\pi r}{2} )[/tex]

               = [tex]2l+2\pi r[/tex]

               = [tex]2(16)+2\times\frac{22}{7}\times4[/tex]

               = 32 + 25.14

               = 57.14 m

Total area of the garden is the area of the rectangle and area of the two semi-circles.

Area of the garden = [tex](l\times w)+ 2(\frac{\pi r^2}{2})[/tex]

                              = [tex](l\times w)+ \pi r^2[/tex]

                              = [tex]16\times8+\frac{22}{7} \times 4\times 4[/tex]

                              = 128 + 50.28

                              = 178.28 square meter

Hence, the perimeter of the garden is 57.14 m and

the total area of the garden is 178.28 sq. m.

How much interest is earned in one year on $5000 at an interest rate of 3%

Answers

If we're talking about simple interest (and not compound interest), then

i = P*r*t

i = 5000*0.03*1

i = 150

$150 in simple interest is earned for the year

----------

notes:

P = principal = amount invested or deposited = 5000r = 0.03 is the decimal form of 3%t = number of years that pass by = 1

The interest earned in one year on $5,000 at an interest rate of 3% is $150. To find the interest earned on $5000 at 3% for one year, multiply the principal amount by the interest rate and time.

To calculate the interest earned with simple interest:

Interest = Principal x Rate x Time

Interest = $5000 x 0.03 x 1 year = $150

The sum of two numbers is 60 and their quotient is 4. what are the two numbers

Answers

Final answer:

The sum of the two numbers is 60 and their quotient is 4. Using the substitution method, we find that the two numbers are 48 and 12.

Explanation:

Let's call the two numbers x and y. We're given that the sum of the two numbers is 60, so we can write the equation:

x + y = 60

We're also given that their quotient is 4, so we can write the equation:

x / y = 4

To solve this system of equations, we can use the substitution method. Solving the second equation for x, we get:

x = 4y

Substituting this value of x into the first equation, we get:

4y + y = 60

Combining like terms, we have:

5y = 60

Dividing both sides by 5, we find:

y = 12

Substituting this value of y back into the equation x = 4y, we get:

x = 4(12)

Simplifying, we find:

x = 48

So the two numbers are 48 and 12.

A 5000​-seat theater has tickets for sale at ​$26 and ​$40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of ​$149 comma 600​?

Answers

Answer:

3,600 from $26 tickets  and  1,400 from $40 tickets.  

Step-by-step explanation:

Let x = number of $26 tickets and y= number of $40 tickets

x + y = 5000  ⇒ x = 5000 - y

26x + 40y = 149,600

26(5000 - y) + 40y = 149600

130,000 - 26y + 40y = 149600

14y = 19600

y = 19600/14 = 1,400

x = 5000 - 1400 = 3,600

So, 3,600 from $26 tickets  and  1,400 from $40 tickets.

Final answer:

To determine the number of tickets sold at each price, set up a system of equations using the given information and solve for the variables.

Explanation:

To determine how many tickets should be sold at each price, we can set up a system of equations using the given information.

Let's assume the number of $26 tickets sold is x and the number of $40 tickets sold is y.

The total number of tickets sold is x + y, so we have the equation x + y = 5000.

The revenue generated from $26 tickets is 26x, and the revenue generated from $40 tickets is 40y. The total revenue

is given as $149,600, so we have the equation 26x + 40y = 149600.

Solving this system of equations will give us the values of x and y.

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Raj is a convincing actor.SUIDIT Which of the following was a primary purpose of executions in colonial American that is much less important today?A. deterrenceB. show that politicians are "tough on crime"C. saving soulsD. retributionE. all of the above When you apply for credit, the lender will review the "Four C's" to decide whether you are a good credit risk, or in other words, whether you are likely to pay back the loan. Which of the following is NOT one of the "Four C's"? Capacity, Capital, Character, and Collateral. A communications circuit is known to have an availability of 0.99 (that is, 99% of the time, the circuit is operational). A total of n such circuits are going to be set up by the FAA between San Francisco and Los Angeles in such a way that the circuits will fail indepen- dently of each other. How many such parallel circuits must be set up to attain an overall availabililty of 0.99999 Read the claim.Raphael was dedicated.Which text best supports the claim?A.For hours at a time Raphael would stand quietly beside the old man as he worked, noting each detail of the potter's skill, and storing up in his little head the things he learned there.B.Raphael kissed the duke's hand. Then he turned to his father. "Is it true," he asked, "that my jar and platter have been chosen?"C.Raphael called Luca to see his work. Trembling with eagerness, he uncovered his jar and platter and showed them to his friend.D.Poor Luca was in despair. He knew very well that his chance of winning Pacifica was gone. Raphael's tender heart was touched. Simplify completely X + 12x +353x + 15somety company 05. ( pomen11 point+21X + 5+ 11x +7 The oxidation of glucose in the presence of oxygen involves glycolysis, pyruvate oxidation, and the citric acid cycle (Krebs cycle). Some energy is captured in glycolysis when glucose is converted to pyruvate (pyruvic acid). In the citric acid cycle (Krebs cycle), more energy is captured in the form of reduced electron carriers, NADH and FADH2. Select the best explanation for why the eventual reoxidation of NADH and FADH2 is crucial for the continuation of the citric acid (Krebs) cycle. Suppose that Costa Rica is able to produce 50,000 pounds of coffee or 10,000 medical devices per day; Vietnam is able to produce 40,000 pounds of coffee or 5,000 medical devices per day. Which statement is TRUE?A. Costa Rica has an absolute advantage in medical device production, while Vietnam has an absolute advantage in coffee production.B. Costa Rica has a comparative advantage in the production of both coffee and medical devices.C. Costa Rica has a comparative advantage in coffee production, while Vietnam has a comparative advantage in the production of medical devices.D. Costa Rica has a comparative advantage in the production of medical devices, while Vietnam has a comparative advantage in coffee production. If you are a participant in a study and you think you know how you are expected to behave, this is an example of ___ expectations; whereas an experimenter smiling at you when you do what he or she expects is an example of ____ expectations Determine whether the breakfast is appropriate for a vegan, lactovegetarian, or lactoovovegetarian and drag the breakfast to its appropriate classification. What is the abbreviation that refers to a wear and tear disease caused by the breakdown and eventual destruction of cartilage in a joint, such as osteoarthritis? Beth exerts 14 N force to propel a 4.5 kg bowling ball down the lane PLEASE PLEASE PLEASE HELP!!!! WILL MARK BRAINILIEST!!!!!!!!!!!Why are politics and political science important? Pfizer Inc., a pharmaceutical company, reported net income for fiscal 2016 of $7,215 million, retained earnings at the start of the year of $71,993 million and dividends of $7,448 million, and other transactions with shareholders that increased retained earnings during the year by $14 million.If there were no additional transactions during the year that affected retained earnings, what was the balance of retained earnings at the end of the year? Rachel is given the topic of global conflict. Because she has an uncle in the Armed Forces, she thinks that she may want to write about American diplomacy in the Middle East. Rachel is a. finding credible research sources. b. personalizing an assigned topic. c. organizing information within paragraphs. Three point charges are located on the positive x-axis of a coordinate system. Charge q = 1.5 nC is 2.0 cm from the origin, charge q2 = -3.0 nC is 4.0 cm from the origin and charge 93 = 4.5 nC located at the origin. a. What is the magnitude of the net force exerted by the other two charges on charge q1q1q1 = 1.5 nCnC?b. What is the direction of the net force exerted by the other two charges on charge q1q1q1 = 1.5 nCnC? Steam Workshop Downloader