WILL GIVE BRAIN DUE 15 MIN HELP ASAP

WILL GIVE BRAIN DUE 15 MIN HELP ASAP

Answers

Answer 1
the simplified answer should be 17 - 6/5j

15+(-3)+5 = 17
-2/5j - 4/5j = -6/5j

Related Questions

Which of the following is equal to the rational expression when x ≠ -2 or 3?

Answers

The simplification of the given rational expression when x is not equal to 2 or negative 3 is determined as (x + 1)/(x + 3).

What is Simplification of expression?Expressions can be made simpler by expanding any brackets, multiplying or dividing any terms, using the laws of indices if necessary, grouping like terms together by adding or subtracting, and finally rewriting the expression. The BODMAS rule states that when an expression has brackets ((),, []), we must first solve or simplify the bracket before moving on to "order" (which refers to powers and roots, etc.), followed by division, multiplication, addition, and subtraction from left to right.

The simplification of the given expression when x is not equal to 2 or negative 3 is determined as follows;

[tex]$=\frac{(x+1)(x-2)}{(x-2)(x+3)}$[/tex]

cancel "[tex]$\mathrm{x}$-2[/tex]" since it is common to numerator and denominator

[tex]$$=\frac{(x+1)}{(x+3)}$$[/tex]

Thus, the simplification of the given rational expression when [tex]$\mathrm{x}$[/tex]is not equal to 2 or negative 3 is determined as [tex]$(x+1) /(x+3)$[/tex].

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A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts
that are more than 2 standard deviations from the mean. The quality-control engineer
knows that the bolts coming off the assembly line have mean length of 12 cm with a
standard deviation of 0.10 cm. For what lengths will a bolt be destroyed?

Answers

The lengths that the bolt will be destroyed are given as follows:

Less than 11.8 cm.More than 12.2 cm.

How to obtain the lengths?

The lengths are obtained applying the proportions in the context of this problem.

Considering the mean length of 12 cm, and the standard deviation of 0.1 cm, the length that is 2 standard deviations below the mean is given as follows:

12 - 2 x 0.1 = 11.8 cm.

The length that is 2 standard deviations above the mean is given as follows:

12 + 2 x 0.1 = 12.2 cm.

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Please helpppp

graph 0.2 and its opposite


graph 9 and its opposite

Answers

Answer:

I need the answer tooo

The function f(x) = 500(1 − 0.19 )x2 models the price of a share of stock over time. Part A The price of the stock models exponential Choose... . What is the rate of exponential growth or exponential decay? % Part B Which expression is equivalent to the function f(x) = 500(1 − 0.19 )x2 ? A. f(x) = 202.5x B. f(x) = 20.1246x C. f(x) = 500(0.9)x D. f(x) = 500(1.0909)x

Answers

The function f(x) = 500(1 - 0.19)^x² is an exponentially decaying function.

The rate of decay is 0.19 or 19% and an equivalent expression to it is

f(x) = 500(0.9)^x.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function f(x) = 500(1 - 0.19)^x² for the price of a share of stock.

This would be an exponentially decaying function because (1 - 0.19) is less than 1.

The rate of exponential decay is 0.19 or 19%.

An equivalent expression to the function f(x) = 500(1 - 0.19)^x² is,

f(x) = 500(0.9)^x.

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how many lists of three elements can we make using the numbers 1, 2, 3, 4, and 5, if repetition is allowed? choose all that apply.

Answers

The solution is, 35, lists of three elements can we make using the numbers 1, 2, 3, 4, and 5, if repetition is allowed.

What is combination?

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

here, we have,

Given data:

{1 ,2, 3 ,4, 5}

Formula for combinations is used since the order does not matter and repetition is allowed.

nCr = (n + r -1) /(r! * (n-1)!)

where n is the total number of items and r is the items to be picked

now, we get,

5C3 = (5 + 3 - 1)! /(3! * (5 -1)!

5C3 = 7!/(3! *4!) Simplifying the factorials)

5C3 = 5040/(6*24)

5C3 =5040/144

5C3 = 35

Hence, The solution is, 35, lists of three elements can we make using the numbers 1, 2, 3, 4, and 5, if repetition is allowed.

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a woman making $2500 per month has her salary reduced by 10% because of sluggish sales. one year later, after a dramatic improvement in sales, she is given a 20% raise over her reduced salary. find her salary after the raise. g

Answers

After the raise, the salary of woman becomes $2700.

Salary Reduction and Raise

The answer was determined through simple arithmetic calculations.

First, the initial salary of $2500 was reduced by 10%, which is calculated as $2500 * 0.1 = $250.

So the new salary after the reduction was $2500 - $250 = $2250.

Next, a 20% raise was given over the reduced salary of $2250, which is calculated as $2250 * 0.2 = $450.

Finally, the raise was added to the reduced salary, resulting in $2250 + $450 = $2700.

So, the woman's salary after the raise is $2700.

This method of calculation can be applied to any similar scenario where an initial salary is reduced by a certain percentage and then increased by another percentage. The formula used can be generalized as:

Final Salary = (Initial Salary - Initial Salary * Reduction Percentage) * (1 + Raise Percentage)

It's a simple and straightforward method that can be easily applied to find the final salary in similar cases.

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Lin ran 2 3/4 miles in 2/5 of an hour.
2
Noah ran 8 2/3 miles in 4/3
of an hour.
c) How far would Noah run in 1 hour?

Answers

Answer:The distance cover by Noah in 1 hour to cover distance is 6.5 miles

Step-by-step explanation:

Sales of the smart phone continued to grow exponentially beyond 2011.
In 2010, approximately 39.99 million smartphones of this brand were sold worldwide.
In 2011, approximately 72.9 million smartphones of this brand were sold worldwide.
In which year did the number of smartphones the brand sold exceed 200 million?

Answers

Answer: This question can be solved using exponential growth formula:

N = N0 * e^(rt)

Where N is the number of smartphones, N0 is the initial number, r is the growth rate, t is the number of years and e is the base of the natural logarithm (approximately equal to 2.718).

First, we need to find the growth rate:

r = (ln(N/N0)) / t

Using the data from 2010 and 2011:

r = (ln(72.9/39.99)) / 1

Next, we can find the year when the number of smartphones sold exceed 200 million:

N = 200 million

N0 = 39.99 million

t = (ln(N/N0)) / r

t = (ln(200/39.99)) / r

To find the year, we need to add t to the initial year 2010.

The number of smartphones the brand sold exceeded 200 million in the year 2023.

Step-by-step explanation:

the high level of airline ticket sales that travel agencies experience during summer is an example of what component of a time series? a. long-term trend b. cyclical variation in. seasonal variation d. random variation

Answers

The high level of airline ticket sales that travel agencies experience during summer is an example of (option C.)Seasonal component of a time series.

A time series is a set of observations collected over a period of time, and it can be decomposed into various components, including trend, cyclical, seasonal, and random variation.

The trend component represents the overall pattern of the time series, such as an upward or downward trend. The cyclical component represents the repeating patterns that are not related to the regular seasons or calendar years. The seasonal component represents the regular variations that occur at specific times of the year, such as the summer months in this example. The random variation represents the unpredictable fluctuations in the time series.

Since the high level of airline ticket sales during summer is a regular variation that occurs every year at the same time, it is an example of the Seasonal component of a time series.

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Complete question:

The high level of airline ticket sales that travel agencies experience during summer is an example ofwhich component of a time series?

A.Trend.

B.Cyclical.

C.Seasonal.

D.Random variation

Consider APQR in the figure below.
The perpendicular bisectors of its sides are SV, TV, and UV. They meet at a single point V.
(In other words, V is the circumcenter of APQR.)
Suppose UV=30, PS= 64, and RV=78.
Find PU, PR, and QV.
Note that the figure is not drawn to scale.

Answers

The given values are below:

PU = 72PR = 128QV = 78

How to get the values

Note that point V is the intersection of the three perpendicular bisectors of a triangle which is also the center of the subtriangle circumference

So QV = RV = PV = 78

Point S is the midpoint of PR

So PR = 2,
PS = 2 x 64 = 128.

Because triangle QUV is a right triangle,

QV = 78.

UV= 30

QV^2 + UV^2 = QV^2

Therefore, PU = 72

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exponents and powers
find n
(2²n)4x(2^n)2=2^16-1

Answers

The value of "n" is approximately 2.6666667.

What is exponent ?

Exponent is a mathematical operation that represents repeated multiplication of the same number.

We can start by simplifying the left side of the equation:

(2^(2n))^4 * (2^n)^2 = 2^16 - 1

Using the exponent rules:

a^m * a^n = a^(m + n)

We can simplify the left side of the equation further:

2^(4n + 2n) = 2^16 - 1

Combining the exponents:

2^(6n) = 2^16 - 1

Now we can use the fact that if a^m = a^n, then m = n to solve for "n":

6n = 16

Dividing both sides by 6:

n = 16/6 = 8/3

Therefore, The value of "n" is approximately 2.6666667.

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if 3x-9=6 whats the value of x

Answers

Answer:

the value of x is 5

Step-by-step explanation:

3x=6+9

3x=15

x=5

The value of the equation is X=5

PLEASE HELP ME PLEASE THANK YOU
PART A
Craig went bowling with $35.50 to spend. He rented the shoes for $6.50 and paid $7.25 for each game.WRITE AN EQUATION TO DETERMINE X,THE GREATEST NUMBER OF GAME CRAIG COULD HAVE PLAYED. ONLY WRITE EQUATION HERE
Equation:__________

PART B
Determine what the greatest number of games he can play is. SHOW YOUR WORK


Answer:_________Games

Answers

Answer:

A. $6.50 + $7.25x ≤ $35.50

B.  4 games  

Step-by-step explanation:

x = number of games played

$6.50 + $7.25x ≤ $35.50

7.25x ≤ 35.5 - 6.50

7.25x ≤ 29

x ≤ 29/7.25

x ≤ 4

Hi, this is my first time answering on Brainly so take this with a grain of salt! ^^
I tried my best and this is what I got and how:

Part A Equation: $7.25x = $29.00

Part B Answer: x = 4

The greatest number of games Craig can play is 4.

geometry, please help.

Answers

Answer:

MN ≈ 92.1

Step-by-step explanation:

given the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{MN}{IJ}[/tex] = [tex]\frac{KL}{GH}[/tex] ( substitute values )

[tex]\frac{MN}{21}[/tex] = [tex]\frac{57}{13}[/tex] ( cross- multiply )

13 MN = 21 × 57 = 1197 ( divide both sides by 13 )

MN ≈ 92.1 ( to the nearest tenth )

An ancient Chinese problem: "A pool of water is 10 feet across, and in the middle of it stood a reed which
projected one foot above the water. When the wind blows the reed over, the top just reached to the edge of
the pool. How deep is the water?" Illustrate and solve. Show all work!

Answers

According to the question, the depth of the water is 11 feet.

What is the depth ?

The depth of something refers to how deep or far down it goes. It can refer to physical measurements such as the depth of a lake or ocean or the depth of a hole, or to metaphorical measurements such as the depth of knowledge or the depth of emotions. In terms of physical measurements, depth is usually referred to in terms of length or distance.

Let x be the depth of the water

The reed is 11 feet tall (10 feet in the water + 1 foot above the water)

The circumference of the pool is 10π feet

The volume of water in the pool = (circumference x depth) = 10πx

The volume of the reed = (area of base x height) = π(5²) x 11 = 275π

The total volume of the pool and reed = 10πx + 275π

10πx + 275π = 10π(11)

10πx = 110π

x = 11

Therefore, the depth of the water is 11 feet.

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The sum of two numbers is 33 and the difference is 9. What are the numbers?​

Answers

Answer:

21 & 12

Step-by-step explanation:

let the sum of x and y be 33.. so,

x + y = 33

x - y = 9

x = 9 + y

x + y = 33

9 + y + y = 33

9 + 2y = 33

2y = 24

y = 24/2

y = 12

similarly,

x + y = 33

x + 12 = 33

x = 21

hence, sum: 21 + 12 = 33

      difference : 21 - 12 = 9

largest possible of x and smallest possible value of x

Answers

Answer:

A.) 16

B.) 18

Step-by-step explanation:

Mode is the number that shows up the most. For A.) they are saying the mode is 1. We see that for 1, the corresponding number is 17. Since no number can go larger than 17, that means x must be 16.

For B.) they are saying the mode is 2. the corresponding number is X. they want the smallest value possible, so what we do if find the largest number, which is 17, and simply add one

A composite figure is shown.
Which of the following represents the total area of the figure?

Answers

Answer:

16.425 in²

Step-by-step explanation:

Surface area of composite figure:

    Area of upper triangle:

          b = 2.5 in  ;  h = 2.3 in

           [tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}bh}[/tex]

                                          [tex]\sf =\dfrac{1}{2}*2.5 * 2.3\\\\ =\dfrac{5.75}{2}\\\\=2.875 \ in^2[/tex]

     Area of bottom triangle:

                h = 5.2 - 2.3

                   = 2.9 in

                  [tex]\sf Area \ of \ bottom \ triangle = \dfrac{1}{2}*3*2.9[/tex]

                                                      =  4.35   in²  

Area of rectangle:

     Area of rectangle = l * w

                                   = 4 * 2.3

                                   = 9.2 in²

Area of composite figure = area of upper triangle + area of bottom triangle + area of rectangle

                                           = 2.875 + 4.35 + 9.2

                                          = 16.425   in²

Please solve both questions 6 and 7

Answers

Answer:

6. 4x + 28 + x + 19 + 3x + 13

x = 15

7. x + 123 + 113 + 97 + 90 = 540

x = 117

Step-by-step explanation:

6. 4x + 28 + x + 19 + 3x + 13 = 180

8x + 60 = 180

8x = 120

x = 15

7. x + 123 + 113 + 97 + 90 = 540

x + 423 = 540

x = 117

Meena owns a small business selling bagels. She knows that in the last week 35
customers paid cash, 12 customers used a debit card, and 17 customers used a credit
card.
If next week, she is expecting 700 customers, about how many would you expect to
pay with a debit card? Round your answer to the nearest whole number.

Answers

131 customers would expect to pay with a debit card out of 700 Customers.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

customers paid by cash=35

customers used a debit card = 12

customers used a credit card = 17

If she is expecting 700 customers then number of customers used Debit card will be

= 700 x 12/ (35+12+17)

= 700 x 12/64

= 131.25

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what is 60/40 simplified

Answers

Answer:

3/2

Step-by-step explanation:

You can divide the numerator and denominator by its GCF(Greatest common factor) which in this case is 20.

60/ 20 = 3

40/20 = 2

3/2

Lesley's fruit salad contains 40% grapes. Which figure represents 40%?
A. A hundred grid with five columns of ten squares shaded
B. A hundred grid with four columns of seven squares shaded
C. A hundred grid with three columns of ten squares shaded
D. A hundred grid with four columns of ten squares shaded

Answers

Answer:

The answer is D

Step-by-step explanation:

Percentages can be represented in Hundred Grid. It is a 10*10 grid that helps solves problems like yours.

In your case, it says 'Which figure represents 40% ?'

This means that you must shade 4 whole columns.

Because number 1, Each row or column contains 10 squares which can  also represent 10%. And if you were to shade 2 rows or columns that would mean it is 20%.

So to sum it up:4 whole columns = 40% out of 100

So a hundred grid with 4 columns of ten square shaded should be your answer.

I'm always happy to help!

Can someone help me with this and find the amount budgeted

Answers

Answer:

Step-by-step explanation:

ok so it is 100 amount budgeted i calculated all of them dont be mad if i did it wrong i am really bad at math and here is a calmng photo to calm you and elp you think

[tex]\sqrt{x}[/tex]

Please help thank you

Answers

Answer:

∠ A = 138° , ∠ C = 75°

Step-by-step explanation:

ABCD has parallel bases and is a trapezium

each lower base angle is supplementary to the upper base angle on the same side.

∠ A + 42° = 180° ( subtract 42° from both sides )

∠ A = 138°

∠ B + ∠ C = 180 , that is

12x - 3 + 9x - 6 = 180

21x - 9 = 180 ( add 9 to both sides )

21x = 189 ( divide both sides by 21 )

x = 9

Then

∠ C = 9x - 6 = 9(9) - 6 = 81 - 6 = 75°

In a group of 50 students, 20 like only Maths and 15 like only Science. If the number of students who do not like any of the two subjects is double of the number of students who like both subjects, find the number of students who like at most one subject by using a Venn-diagram.​

Answers

To solve this problem using a Venn diagram, we need to start by drawing a rectangle to represent the group of 50 students, and then draw two overlapping circles to represent the subjects of Math and Science. Let's label the regions of the Venn diagram as follows:

M: Students who like MathS: Students who like ScienceMS: Students who like both Math and ScienceNeither: Students who like neither Math nor Science

We know that 20 students like only Math, 15 students like only Science, and the number of students who like both subjects is unknown. We also know that the number of students who like neither subject is double the number of students who like both subjects. Let's use this information to fill in the Venn diagram:

The number of students who like at least one subject is the sum of the students who like only Math, the students who like only Science, and the students who like both subjects: 20 + 15 + MS.The number of students who like neither subject is double the number of students who like both subjects: 2MS.

We can set up an equation using this information:

20 + 15 + MS + 2MS = 50

Simplifying this equation, we get:

3MS = 15

MS = 5

Now we can fill in the Venn diagram:

       M    MS

        \  /

         \/

        /  \

       S----MS

We know that MS = 5, so the number of students who like at most one subject is:

20 (like only Math) + 15 (like only Science) + MS (like both subjects) = 20 + 15 + 5 = 40.

Therefore, 40 students in the group of 50 like at most one subject.

At the Hula Factory, the assembly line produces 212 leis in a batch. The leis are packaged in boxes with 30 each. If 14 batches are made in one day, how many leis will be leftover at the end of it?

Answers

Answer:

-2 leis.

Step-by-step explanation:

212 * 14 = 2,968 leis

2,968/30 = 99 boxes

99*30=2970

2968-2970=-2

There is a problem with the wording of this question. There isn't a total so it's really confusing...

Trevor pet goat weighed 6 3/8 pounds when it was born. By age 3, the goat weighed 8 times as much. Fill each box with a number or symbol from the list to show how to find the weight of Trevor goat at age 3. 8 3/8 8 3 6 3/8 + x are the symbols

Answers

The weight of Trevor's goat will be 51 pounds at age 3.

We can use the following equation to calculate the weight of Trevor's goat at age 3,

Weight at age 3 = 6 3/8 × 8

First, we require to convert 6 3/8 to an improper fraction, so we multiply 6 by 8 to get 48 and then add the numerator 3 to get 51. So, 6 3/8 can be composed as 51/8.

Next, we multiply 51/8 by 8 to calculate the weight at age 3,

51/8 × 8 = 408/8 = 51

Therefore, the weight of Trevor's goat will be 51 pounds at age 3.

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--The given question is incomplete; the complete question is

"Trevor's pet goat weighed 6 3/8 pounds when it was born. By age 3, the goat weighed 8 times as much. Fill each box with a number or symbol from the list to show how to find the weight of Trevor's goat at age 3."--

Caleb is comparing the growth of plants using two different fertilizers Use the measurement of the center from the box plots to make an inference about the data

Answers

Part A:

Based on the medians, the plants in Group A grew less on average, as compared to the plants in Group B.

Part B:

The range and IQR are greater in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.

What is the box-and-whisker plot?

A box and whisker plot displays a "box" with its left edge at Q₁, right edge at Q₃, "center" at Q₂ (the median), and "whiskers" at the maximum and minimum.

Given:

Caleb is comparing the growth of plants using two different fertilizers.

The box-and-whisker plot is given.

From the diagram, we can clearly see that the median of A is less than the median of B.

Part A:

Based on the medians, the plants in Group A grew less on average, as compared to the plants in Group B.

Part B:

The range and IQR are greater in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.

Therefore, the blanked words are given above.

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To evaluate 8^2/3 find

Answers

To evaluate [tex]8^{\frac{2}{3} }[/tex] first find the square of 8 and then take the cube root.

What are exponents?

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Depending on the powers they possess, many rules of exponents are given.

Law of Multiplication: Exponents should be added while keeping the base constant when multiplying like bases.

Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.

Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.

The given value can be written as:

[tex]8^{\frac{2}{3} } = \sqrt[3]{8^{2} }[/tex]

Hence, to evaluate [tex]8^{\frac{2}{3} }[/tex] first find the square of 8 and then take the cube root.

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If −8x+6y=4 is a true equation, what would be the value of −8x+6y+6?

Answers

the value of the algebraic equation −8x+6y+6 will be 10.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given,  −8x+6y=4 is a true equation

To find the value of the equation −8x+6y+6

=> −8x+6y+6

Since −8x+6y = 4 given

Thus,

=> 4 + 6

=> 10

Therefore, the value of the algebraic equation −8x+6y+6 will be 10.

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What was the wholesale cost of the sofa?A. $949.62B.$3448.62C. $1810.62D. 1549.38 a current of 2 Ampere passes through a wire of resistance 4ohms for 3mins calculate the energy Lost now imagine that there is a bumper coffee bean crop in south america that lowers price of coffee beans such that market supply increases by 50% at every price. calculate this and report the new market supply in in column l in cells l2 through l17. this column is titled new market supply What is the atomic mass of neon in gram per mole? A ball is dropped from 2 meters and rises up by 75% what is true about blood typing? what is true about blood typing? type ab blood contains antigens a and b. type ab blood contains neither a nor b antigen. type o blood contains antigens a and b. type b blood contains a antigen. What does your body use to transduce specific external stimuli into neural activity? A. NeitherB. SSSC. SASChoose SSS,SAS, or neitherto compare thesetwo triangles. mr . france wants to have a party they want to celebrate . out of all the students in the class , 5 wants a ice cream part , 7 want a movie party , 10 want a costume party , and the rest are undecided , if 20% want a ice cream party , how many students are in the class Using the equation below, convert 18.83 grams of water to moles of H2SO4. Please round your answer to two digits after the decimal point and don't forget units and substance!SO3 + H2O --> H2SO4 sometimes children may pretend to be an animal or even a person that they know. what term best describes this behavior? protein should account for 15% of the calories you eat each day. True/False ? 1- How does price elasticity of demand and cross price elasticity of demand differ?- The price elasticity of demand measures how responsive the quantity demanded for a good is in response to a change in the good's own price, while the cross price elasticity of demand measures how responsive the quantity demanded for a good is in response to a change in the price of another good.- The price elasticity of demand measures how responsive the quantity demanded for a good is in response to a change in the price of another good, while the cross price elasticity of demand measures how responsive the quantity demanded for a good is in response to a change in the good's own price.- Price elasticity of demand depends on the number of existing customers, while the cross price elasticity of demand depends on the number of new customers.- Price elasticity of demand depends on the number of new customers, while the cross price elasticity of demand depends on the number of existing customers.2- Cross price elasticity of demand is equal to the percentage change in quantity demanded for Product A, divided by:- The percentage change in quantity demanded of product B.- The percentage change in price of product B.- The quantity supplied of product A.- The quantity supplied of product B.3- If the cross price elasticity between apples and oranges is 2, which is correct?- The two goods are complements, and a price increase in one good will cause an increase in the quantity demanded of the other.- The two goods are independent, and a price increase in one good will cause an increase in the quantity demanded of the other.- The two goods are substitutes, and a price decrease in one good will cause an increase in the quantity demanded of the other.- The two goods are substitutes, and a price increase in one good will cause an increase in the quantity demanded of the other.4- Suppose the income elasticity of demand for toys is +2.00. This means that: - A 10 percent increase in income will increase the purchase of toys by 20 percent. - A 10 percent increase in income will increase the purchase of toys by 2 percent. - A 10 percent increase in income will decrease the purchase of toys by 2 percent. - Toys are an inferior good.5- Which type of goods is most adversely affected by recessions?- Goods for which the income elasticity coefficient is relatively low. - Goods for which the income elasticity coefficient is relatively high. - Goods for which the cross-price elasticity coefficient is positive. - Goods for which the cross-price elasticity coefficient is negative.6- Cross elasticity of demand measures how sensitive purchases of a specific product are to changes in: - The price of some other product. - The price of that same product. - Income. - The general price level.7- We would expect the cross elasticity of demand between Pepsi and Coke to be: - Positive, indicating normal goods.- Positive, indicating inferior goods.- Positive, indicating substitute goods. - Negative, indicating substitute goods.8- Suppose that a 20 percent increase in the price of good Y causes a 10 percent decline in the quantity demanded of good X. The coefficient of cross elasticity of demand is: - Negative and therefore these goods are substitutes. - Negative and therefore these goods are complements. - Positive and therefore these goods are substitutes. - positive and therefore these goods are complements