Assume tuition at a University cost $4,000 in 2004 and $8,000 in 2012. The price index was 150 in 2004 and 270 in 2012. Use the given information to answer the following questions:

a. Calculate the inflation rate between 2004 and 2012. (Do not calculate the annual inflation rate.)

Answer: The inflation rate = ________ %

b. Convert the year 2004 tuition in 2012 dollars.
Answer: The year 2004 tuition in 2012 dollars = $ _________

c. Is 2012 tuition higher than 2004 tuition after adjusting for inflation? ["Yes", "No"]

To create a 10" by 10" grid using 1" pieces of wire, you will need to increase a total of 110 pieces of wire. This includes 100 "place" wires to form the grid squares, and 10 additional "piece" wires on each side to complete the border.

To create a similar 10'' by 10'' grid, we would need to increase each side by a factor of 10/6 or 5/3. This means that each piece of wire in the original 6'' by 6'' grid would need to be extended by 5/3, making it 5/3 inches long.

The number of pieces of wire needed for the new grid can be calculated by using the formula:

Number of pieces of wire = (number of horizontal wires + number of vertical wires + diagonals) x length of each wire

For the original 6'' by 6'' grid, there are 7 horizontal wires, 7 vertical wires, and 10 diagonals (which can be counted by drawing lines from each corner to the opposite corner). So the total number of wires is:

(7 + 7 + 10) x 1 = 24

For the new 10'' by 10'' grid, there will be 11 horizontal wires, 11 vertical wires, and 16 diagonals. So the total number of wires needed is:

(11 + 11 + 16) x (5/3) = 64.44 (rounded up to the nearest whole number)

Therefore, we would need approximately 64 pieces of wire to create a similar 10'' by 10'' grid.

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The number of Calories in the snack in Kilojoules is  1.033 Kilojoules      .

In the question ,

it is given that ,

the number of calories in the snack = 247 calories

we have to find the calories in Kilojoules ,

we know that the 1 calorie = 4.184 × 10⁻³ Kilojoules

So , on multiplying both the sides by 247 ,

we get ,

247 calorie = 247 × 4.184 × 10⁻³ Kilojoules

= 1033.448 × 10⁻³ Kilojoules

simplifying further ,

we get ,

= 1.033 Kilojoules

Therefore , The number of Calories in the snack in Kilojoules is  1.033 Kilojoules      .

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Answer:

Area =0.41 units^2

Step-by-step explanation:

sin 26 degrees=height/1.53

height=.438371 x 1.53=0.67

Area =(1/2)(0.67)(1.22)=0.41 units^2

In linear equation, 42 units quizzes will josie have taken in total.

What is a formula for linear equations?

josie took a total = 24 quizzes

the course  =  6 weeks

quizzes will josie have taken = 24/6 = 4

after attending 10 weeks of school this quarter = 10 * 4 = 40 units

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Answer:

129.9

Step-by-step explanation:

Deltamath

Answer:

33i - 12

Step-by-step explanation:

\(8i - (12 - 4i) + 7 \sqrt{ - 9} \\ = 8i - 12 + 4i + 7 \sqrt{9 \times ( - 1)} \\ = 12i - 12 + 7 \times 3 \sqrt{ - 1} \\ = 12i - 12 + 21i \: \: ( \because \sqrt{ - 1} = i)\\ = 12i + 21i - 12 \\ \therefore \red{ \bold{8i - (12 - 4i) + 7 \sqrt{ - 9} }= \purple{ \bold{33i - 12}}}\)

When Q > K, the amount of products must decrease and the amount of reactants must increase for equilibrium to be established. Therefore, the reaction will proceed in the reverse direction to establish equilibrium.

When discussing chemical reactions and equilibrium, the reaction quotient (Q) and equilibrium constant (K) play important roles.

The reaction quotient is calculated in the same way as the equilibrium constant, but it can be evaluated at any point during the reaction, not just at equilibrium.

If the reaction quotient, Q, is greater than the equilibrium constant, K (Q > K), it indicates that the system has an excess of products compared to what is required at equilibrium.

To establish equilibrium, the reaction needs to shift in the reverse direction to reduce the concentration of products and increase the concentration of reactants.

This shift occurs because the system seeks to minimize the imbalance caused by the excess of products.

By proceeding in the reverse direction, the reaction consumes some of the excess products and forms more reactants.

As reactants are consumed, their concentration increases, bringing the system closer to equilibrium. The reaction will continue to proceed in the reverse direction until Q becomes equal to K, indicating that the system has reached equilibrium.

In summary, when Q > K, the reaction will proceed toward the reverse direction to establish equilibrium by reducing the concentration of products and increasing the concentration of reactants.

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Answer: blue

Step-by-step explanation: it’s blue because when you see it, you can see the color blue. Also, blue is in blueberry :). Honestly, there isn’t a main reason why, but it’s blue.

The correct answer to the question is option d) 75 PCF.

To calculate the expected vertical load, we need to consider the weight of the concrete slab and the additional load due to the concrete's temperature and pouring rate. The weight of the slab can be calculated by multiplying the density of the concrete (150 PCF) by the depth (6 inches) and the area (1 square foot). This gives us a weight of 75 pounds per square foot (PSF).

The temperature and pouring rate do not directly affect the vertical load. The temperature and pouring rate are factors that may affect the structural integrity of the slab or the time it takes for the concrete to fully cure. However, they do not contribute to the actual load borne by the slab itself. Therefore, the correct answer is 75 PCF, as it represents the weight of the concrete slab alone.

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Answer

136% is the answer

Answer:

73.5 %

Step-by-step explanation:

(150/204) . 100 = 73.529 ~ 73.5

The general form of such a model that predicts the volume of sales (Y) as a function of advertising (X) in which sales increase as advertising increases, but at a decreasing rate is given by  Y^ = b0 + b1X + b2X². Option C.

The general form of the model that fits the description of the sales model that is given in the problem is C. Y^ = b0 + b1X + b2X². Where Y^ represents the predicted or estimated value of Y. b0, b1, and b2 are the coefficients of the model, and they represent the intercept, the slope, and the curvature of the relationship between X and Y, respectively.

In this model, the variable X has a quadratic relationship with the variable Y because of the presence of the squared term X². This indicates that the effect of X on Y is not linear but curvilinear, which means that the effect of X on Y changes as X increases. Specifically, the effect of X on Y increases initially but then levels off or diminishes as X becomes larger. Answer option C.

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Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

In plan A,

    Plans for saving = $500

  Amount of saving each week = $20

∴ Number of weeks needed to make goal = (500 ÷ 20) (by using division)

                                                                       = 25

In plan B,

    Plans for saving = $500

   Amount of saving each week = $30

∴ Number of weeks needed to make goal = (500 ÷ 30) (by using division)

                                                                       = 17

In plan C,

    Plans for saving = $500

   Amount of saving each week = $40

∴ Number of weeks needed to make goal = (500 ÷ 40) (by using division)

                                                                       = 13

In plan D,

    Plans for saving = $500

   Amount of saving each week = $50

∴ Number of weeks needed to make goal = (500 ÷ 50) (by using division)

                                                                       = 10

So, Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

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Answer:

1, in which x = 0.

Step-by-step explanation:

First, combine 8x and 4x to get 12x.

Now, we have 12x = 0.

We know that if the product of two numbers is equal to 0, at least one of them must be 0.

12 is not equal to 0, so x must be equal to 0.

Therefore, x = 0, and that is the only solution.

Answer:

1 solution

Step-by-step explanation:

add like terms

12x=0

divide both sides by 12

x=0

Step-by-step explanation:

x= 117........................

Answer:

117º

Step-by-step explanation:

A triangle's interior angles add up to 180º and the angle of a straight line is 180º.

Answer:

53

Step-by-step explanation:

Step1: Converting 203 to base 10.

2*52=50

0*51=0

3*50=3

Adding all to get Answer=5310

Step2: Converting 5310 to 10

The equation calculation formula for 5310 number to 10 is like this below.

10|53

10|5|3

10|5|5

Answer:5310

Mutually exclusive events are those events that do not occur at the same time. For example, when a coin is tossed then the result will be either head or tail, but we cannot get both the results. Such events are also called disjoint events since they do not happen simultaneously.

Examples of mutually exclusive events are:

When a coin is tossed, getting heads and tails are mutually exclusive. Because the probability of getting both heads and tails is 0.

In a six-sided die, the events "2" and "5" are mutually exclusive. We cannot get events 2 and 5 at the same time with one die.

In a deck of 52 cards, drawing a red card and drawing a club are mutually exclusive events because all clubs are black.

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Answer:

Trust Me its \(x\)=5

1=63

3=163

4=325

I hope this answered your question

The equation that can be used to find h, the number of hours Aaron can rent the bike, is: 15h + 3 = 65, where h represents the number of hours.

To find the number of hours Aaron can rent the bike, we need to consider the cost per hour and the additional fee for the helmet. The cost per hour is $15, and the additional fee for the helmet is a one-time payment of $3 for the entire ride.

Let's break down the equation step by step:

Cost per hour: 15h

Additional fee for the helmet: 3

The total cost of renting the bike for h hours, including the helmet fee, should be equal to Aaron's budget, which is $65.

Therefore, the equation becomes:

15h + 3 = 65

To find the value of h, we solve the equation:

15h = 65 - 3

15h = 62

h = 62/15

h ≈ 4.13

Aaron can rent the bike for approximately 4.13 hours. Since it's not possible to rent a bike for a fraction of an hour, Aaron would round down to the nearest whole number. Therefore, he can rent the bike for 4 hours.

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Step-by-step explanation:

diagonals of the rhombus bisect each other at right angles .

5a = 90

a = 90/5 = 18

in ∆ OCD:

5a + 2a + b = 180

7a+ b = 180

b = 180 - 7 ( 18)

b = 180 - 126

b = 54 °

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.☺️

Answer:

a = 18°

\( b= 108\degree \)

Step-by-step explanation:

ABCD is a rhombus.

AC and BD are its diagonals

Diagonals of a rhombus bisects at right angles.

Therefore,

5a = 90°

a = 90°/5

a = 18°

2a = 2*18° = 36°

Diagonals of a rhombus bisects the opposite angles.

Therefore,

\( m\angle ADC = 2(2a)\)

\( m\angle ADC = 2\times 36\degree \)

\( m\angle ADC = 72\degree \)

\( m\angle ADC+m\angle DCB= 180\degree \)

(Adjacent angles of a rhombus are supplementary)

\( 72\degree+b= 180\degree \)

\( b= 180\degree-72\degree \)

\( b= 108\degree \)

The least positive integer we can get as the product is 2.

Here we have the following set of numbers:

{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

And we want to take the product between 3 of them and find the least positive integer that we can get as the product.

So it makes sence to choose the smallest absolute value numbers (not zero) such that one is positive and two are negative (we want two negative ones so the signs cancell eachother)

Then we will get:

1*(-1)*(-2) = 2

That is the least positive integer we can get as the product.

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Step-by-step explanation:

it's a right angled triangle

B. acute

C. scalene ( as all sides are different)

E. right

(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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Check the picture below.

since the cliff is 48 feet tall, thus that its initial height.

\(~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&8\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&48\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+8t+48\)

well, as you can see in the picture, its maximum is at its vertex, so

\(\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{+48} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 8}{2(-16)}~~~~ ,~~~~ 48-\cfrac{ (8)^2}{4(-16)}\right)\implies \left(\cfrac{1}{4}~~,~~48-\cfrac{64}{-64} \right)\)

\(\left( \frac{1}{4}~~,~~48+1 \right)\implies \stackrel{\textit{the ball is at highest}}{\left(\frac{1}{4}~~,~~\stackrel{\downarrow }{49} \right)}\)

well, it hits the ground when y = 0.

\(\stackrel{h(t)}{0}=-16t^2+8t+48\implies 0=8(-2t^2+t+6)\implies 2t^2-t-6=0 \\\\\\ (2t+3)(t-2)=0\implies t= \begin{cases} -\frac{3}{2}\\\\ 2~~\textit{\large \checkmark} \end{cases}\)

notice, we didn't use the negative value, since "t" must be greater than 0.

Answer:

Certainly B

Step-by-step explanation:

I'm not sure about C and E. A and D are wrong for sure--parallel ≠ perpendicular.

Answer: B and E are the answers

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is the sum of perfect cubes. There is a pattern that can be followed in order to get it factored properly. First let's figure out why this is in fact a sum of perfect cubes and how we can recognize it as such.

343 is a perfect cube. I can figure that out by going to my calculator and starting to raise each number, in order, to the third power. 1-cubed is 1, 2-cubed is 8, 3-cubed is 27, 4-cubed is 64, 5-cubed is 125, 6-cubed is 216, 7-cubed is 343. In doing that, not only did I determine that 343 is a perfect cube, but I also found that 216 is a perfect cube as well. Obviously, x-cubed and y-cubed are also both perfect cubes. The pattern is

(ax + by)(a^2x^2 - abxy + b^2y^2) where a is the cubed root of 343 and b is the cubed root of 216. a = 7, b = 6. Now we fill in the formula:

(7x + 6y)(7^2x^2 - (7)(6)xy +6^2y^2) which simplifies to

(7x + 6y)(49x^2 - 42xy + 36y^2)

Answer:

All new reflected coordinates

T (-3, 6)

S (-2, 4)

U (-4, 4)

R (-3, 2)

Step-by-step explanation:

This is because the are reflected sideways on x = 1. This works like a mirror or opening a page of a book if that helps visualise it.