What error did zacharias make? the –5 should be 5. the 52 should be –52. the 2 in the numerator should be –2. the 2 in the denominator should be –2.

Answers

Answer 1

The error made by zacharias in solving the quadratic equation 0 = -2x² + 5x - 3 using quadratic formula is; the 2 in the numerator should be –2.

Quadratic equation

There are four methods of solving quadratic equation. Namely;

Factorization methodCompleting the square methodGraphical methodFormula method

0 = -2x² + 5x - 3

Using quadratic formula

x = -b ± √b² - 4ac / 2a

where,

a = -2b = 5c = -3

x = -b ± √b² - 4ac / 2a

x = -5 ± √5² - 4(-2)(-3) / 2(-2)

= -5 ± √25 - (24) / -2

= -5 ± √1 / -2

= -5/2 ± 1/2

= -5/2 - 1/2 or x = -5/2 + 1/2

= -5-1 / 2 or -5+1/ 2

x = -6/2 or -4/2

x = -3 or -2

Therefore, the solution to the quadratic equation is x = -3 or -2

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What Error Did Zacharias Make? The 5 Should Be 5. The 52 Should Be 52. The 2 In The Numerator Should

Related Questions

help with math pls !!!! lots of point

Answers

f(g(3))
f(4 * 3^2 + 9)
f(45)
3 * 45 - 1
134

What is the equation of the line that passes through the point (-6,2) and has a slope of 1?

Answers

Answer:

[tex]y = x + 8[/tex]

Step-by-step explanation:

The equation of a line is:

[tex]y = mx + c[/tex]

Where m is the gradient (or as you call it, the slope), and c is the y-intercept. We already know what the slope is, therefore we need to find the y-intercept. You have been given the coordinates (-6, 2), but to find the y-intercept, X must be equal to 0. Since the gradient is 1, we know that for every value we add to X, we must add the same to y. To get from -6 to 0, we must add 6, so we must do the same 2, leaving our y-intercept coordinates as (0, 8), and our y-intercept as 8. Plugging in our values, we are left with the following equation:

[tex]y = x + 8[/tex]

Mrs. washington has a small fenced-in, rectangular play area behind her house for her dog. there is 80 feet of fencing around the perimeter of the play area, and the width is 14.8 feet. mrs. washington needs to buy new sod to cover the entire area of play space. if sod costs $1.50 per square foot, how much will it cost mrs. washington to buy enough sod for the entire play area?

Answers

Answer:

$1118.88

Step-by-step explanation:

Lets start by finding all sides of the perimeter to get an accurate measure of the area.

We know the width is 14.8 feet, that means the opposite side also equals 14.8 feet.

Now the other two sides must sum to 50.4 (80-(14.8*2)) and be equal, so we can divide 50.4 by two to get 25.2 for the other two sides.

Now we can calculate area by multiplying one from each side:

[tex]14.8*50.4=745.92[/tex]

Now to find the price of required sod, multiply the area by cost per square foot

[tex]745.92*1.50=1118.88[/tex]

Therefore it will cost 1118.88 dollars to cover the entire area in sod.

If a hypothesis test is found to have power = 0. 80, which is the probability that the test will result in a type ii error?

Answers

The probability that the hypothesis test will result in a type ii error, β is 0.20.

In this question,

A type II error is one of two types of statistical errors that can result from a hypothesis test (the other being a type I error). A type II error will occur if the statistical test is not powerful enough. And it occurs when one rejects the alternative hypothesis (fails to reject the null hypothesis) when the alternative hypothesis is true.

The probability of a type II error is denoted by *beta*, β.

Power of a test = 0.80

The relation between power of a test and type II error is given as,

Power = 1 - type II error

⇒ Type II error, β = 1 - 0.80

⇒ Type II error, β = 0.20

Hence we can conclude that the probability that the hypothesis test will result in a type ii error, β is 0.20.

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The population of Dorchester in 2012 was 294,680. This reflected a 6% increase from the year 1999. What was the population in 1999?​

Answers

The population of Dorchester in 1999 is 277000.

According to the statement

we have given that the population in 2012. and given that the it is increased 6% from the year 1999. And we have to find the population in 1999.

So, For this purpose,

we have given that the number of

population of Dorchester in 2012 = 294,680

increased from year 1999 = 6%

So, here we use percentage and subtraction formula

Population increase in numbers = 6/100*294,680

Population Increase in numbers = 17680

So, Population in 1990 = population of Dorchester in 2012 - Population increase in numbers

Population in 1990 = 294,680 - 17680

Population in 1990 = 277000.

So, The population of Dorchester in 1999 is 277000.

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Choose the definition for the function.
(-x+ 2 x < 1
x ≥ 1
a. y = x + 1
(-x+ 2
x + 1
b.y = {-x+ 2 x≤1
1
x >
c. y = {-x-
C.
x≤ 1 d. y = { x + 1
(-x+ 2
x > 1
x ≤ 1
x ≥ 1
x < 1
Enter

Answers

Answer:

A

Step-by-step explanation:

The answer is negative so that eliminates one

and the greater sign is opposite of b so that makes the answer A!

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week.

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

Answer:
The answer is C- Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

The logarithmic function j(x) is defined as j(x)=log(x+5)−1. The graph below shows the logarithmic function k(x).
Which statement about the two functions is true?

A
Both functions have the same vertical asymptote.

B
Both functions have a domain of all real numbers.

C
The x-intercept of k(x) is greater than the x-intercept of j(x).

D
Function j(x) is greater than function k(x) for all values of x.

Answers

The correct statement regarding the logarithmic functions is:

C The x-intercept of k(x) is greater than the x-intercept of j(x).

What is the domain of a logarithmic function?

A composite logarithmic function f(x) = log(g(x)) has the domain of g(x) > 0.

What are the vertical asymptotes of the logarithmic functions?

For the function j(x), we have that it is at:

x + 5 = 0

x = -5.

For the function k(x), we have that it is at x = 5 from the graph.

What are the x-intercepts of the functions?

For the function j(x), we have that:

log(x + 5) - 1 = 0

log(x + 5) = 1

10^[log(x + 5)] = 10^1

x + 5 = 1

x = -4.

For k(x), from the graph, it is at x = 6, hence option C is correct.

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Which elementary row operation will reduce the x–element in row 2 to 0 in this matrix?

Answers

The elementary row operation that will reduce the x–element in row 2 to 0 in this matrix is -2R1 + R2

How to determine the elementary row operation?

The complete question is added as an attachment

The matrix is given as:

1   1    1       12

2  1    0     14

2  0   3      19

Rewrite as:

x   y    z      

1   1    1       12

2  1    0     14

2  0   3      19

So, the x-element of the second row is

x = 2

When the first row is multiplied by negative 2 and added to the second row, the x-element of the second row is reduced to 0

This is represented as;

-2R1 + R2

i.e.

-2(1   1    1       12)

+   2  1    0     14

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

    0  -1   -2    -10

Hence, the elementary row operation that will reduce the x–element in row 2 to 0 in this matrix is -2R1 + R2

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What is this expression in simplified form?
4/14 - 11/14

Answers

Answer:

baiBsiasbisvdxhsbhssj

Answer:

-1/7

is the answer of your question

The graph of the function g(x) = -x is shown on the grid below.
Graph the function h(x) = -x +2+3 in the interactive graph.
←++
-9-8-7-6-5-4-3-2
888610321
9
Y
7+
6+
5+
4+
3.
2.
-2-
-3+
-4+
-5+
-6+
$7
-8+
69
-9.
2 3 4 5 6 7 8 9
y= g(x)
→x

Answers

The graph is shown in the attached image.

The final graph of y = -|x + 2| + 3 is a V-shaped curve that opens downwards and is shifted upwards by 3 units.

This curve intersects the x-axis at x = -4 and x = -0 and passes through the point (-2, 1).

The graph is given below.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The graph of y = -x is a straight line that passes through the origin and has a slope of -1.

It extends infinitely in both directions and has a negative slope, which means that as x increases, y decreases.

The graph of y = |x + 2| - 3 is a bit more complex.

The absolute value function |x + 2| means that the value of x + 2 is taken, and then the absolute value of that value is calculated.

The absolute value function always returns a positive value, so the graph of y = |x + 2| is a V-shaped curve that opens upwards and passes through the point (-2, 0).

The minus sign outside the absolute value function means that the entire curve is reflected about the x-axis, so the graph of y = -|x + 2| is also a V-shaped curve, but this time it opens downwards.

Finally, the +3 at the end of the equation means that the entire graph of

y = -|x + 2| is shifted upwards by 3 units.

Thus,

The final graph of y = -|x + 2| + 3 is a V-shaped curve that opens downwards and is shifted upwards by 3 units.

This curve intersects the x-axis at x = -4 and x = -0 and passes through the point (-2, 1).

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Please help! I've already answered part a, I don't understand what part b is asking.

Answers

Step-by-step explanation:

So, there is something known as a removable discontinuity, and it's essentially where you can define f(x) using the most simplified fraction, where you could normally not define f(x).

So we have the following equation:

[tex]f(x) = (\frac{x+5}{x+1}\div\frac{(x+3)(x-2)}{(x-4)(x+1)})-\frac{1}{x-2}[/tex]

As you may know, we cannot divide a number by the value of zero. When the denominator is equal to zero, on the graph this will appear as a vertical asymptote, where x approaches the value that makes the denominator zero, but never actually reaches it.

If you look at each denominator, you can set them equal to zero to find the vertical asymptotes

x+1 = 0

x=-1

There should be a vertical asymptote at x=-1, since it would make two of the denominators equal to -1, but let's divide the two fractions first.

Original Equation

[tex]f(x) = (\frac{x+5}{x+1}\div\frac{(x+3)(x-2)}{(x-4)(x+1)})-\frac{1}{x-2}[/tex]

Keep, change, flip

[tex]f(x) = (\frac{x+5}{x+1}*\frac{(x-4)(x+1)}{(x+3)(x-2)})-\frac{1}{x-2}[/tex]

Multiply the two fractions

[tex]f(x) = (\frac{(x+5)(x-4)(x+1)}{(x+1)(x+3)(x-2)})-\frac{1}{x-2}[/tex]

Notice how the x+1 is in the numerator and fraction? That means we can cancel it out!

[tex]f(x) = (\frac{(x+5)(x-4)}{(x+3)(x-2)})-\frac{1}{x-2}[/tex]

In this simplified version of the fraction, we can technically define f(-1), but in the original version, since it's not defined there is a removable discontinuity at x=-1, meaning there is no vertical asymptote, but the function is still not defined at f(-1), and there will be a hole at that point.

Quick algebra 1 question for 50 points!

Only answer if you know the answer, Tysm!

Answers

Answer:

x=1

Step-by-step explanation:

2/3(9x-6) = 1/4(12-4x)

We want to solve for x

Distribute

6x-4=3-x

Add x to each side

6x-4+x = 3-x+x

7x-4 = 3

Add 4 to each side

7x-4+4 = 3+4

7x=7

Divide by 7

7x/7 = 7/7

x=1

Answer:

x = 1

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] (9x - 6) = [tex]\frac{1}{4}[/tex] (12 - 4x) ← distribute parenthesis on both sides

6x - 4 = 3 - x ( add x to both sides )

7x - 4 = 3 ( add 4 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1

4x + 3 = 2x + 9
Solve for x

Answers

Answer:

x = 3

Step-by-step explanation:

4x + 3 = 2x + 9
1. Remove 3 from both sides
4x = 2x + 6
2. Remove 2x from both sides
2x = 6
3. x = 3

Answer:

here is the answer

hope it helps u

stay safe and healthy

{ BTS ARMY GIRL }

Rashmi

y= 8x +10 is this nonlinear or linear​

Answers

Answer:

linear

Step-by-step explanation:

This is a line with slope  m = 8  and y-axis intercept of 10

Answer:

linear

Step-by-step explanation:

y = 8x + 10

is an equation in the form y = mx + b.

The form y = mx + b is called the slope-intersect form of the equation of a line.

Since it is the equation of a line, it is linear.

Boyle's law states that if the temperature of a gas remains​ constant, then PV​=c, where P=pressure​,V=volume ​, and c is a constant. Given a quantity of gas at constant​ temperature, if V is decreasing at a rate of 10in​^3/sec​, at what rate is P increasing when P =60​lb/in^2 and V=20in^3 in​? (do not round your answer.)

a. 30 lb/in^2 per sec
b. 120lb/in^2 per sec
c. 9 lb/in^2 per sec
d. 10/3 lb/in^2 per sec

Answers

The pressure, P if V is decreasing at a rate of 10in^3/sec is 120lb/in^2 per sec.option B

Boyle's law

PV = c

where,

P=pressure,V=volume , and c is a constant

when P =60lb/in^2 and V=20in^3

PV = c

60 × 20 = 1200 in

Find P if V is decreasing at a rate of 10in^3/sec

PV = c

P × 10 = 1200

10P = 1200

P = 1200 / 10

P = 120lb/in^2 per sec

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pls solve this. this is of set class 9.

Answers

Here is the answer :

people who like both the songs is 35 and

people who like only folk songs is 100.

Choose the division problem represented by this model.

Answers

Answer:

The answer is C

Step-by-step explanation:

two less than y is subtracted from x​

Answers

Answer: x- (y-2)

Step-by-step explanation:

Two less than y would be y-2,

Then you just subtract it from x

PLEASE HELP AS SOON AS POSSIBLE!!
After Sally completed her report she wanted to number the pages. She typed exactly 9 eights to number all the gapes in her report. How many pages were there in Sally's report?

Answers

Answer:

80

Step-by-step explanation:

The 9 eights would be

8, 18, 28, 38, 48, 58, 68, 78, 80

300 high school students were asked how many hours of TV they watch
per day. The mean was 2 hours, with a standard deviation of 0.5. Using a
90% confidence level, calculate the maximum error of estimate.

Answers

Using the z-distribution, it is found that the maximum error of the estimate is of 0.0475 hours.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

For this problem, the values of the parameters are given as follows:

[tex]\sigma = 0.5, n = 300[/tex]

We have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

Thus the maximum error of the estimate in hours is found as follows:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.645\frac{0.5}{\sqrt{300}}[/tex]

M = 0.0475 hours

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Answer:

4.75%

Step-by-step explanation:

Given:     μ=z     σ=0.5     ∩=300     CL=90%

Maximum error  [tex]=Za/2*\frac{6}{\sqrt{n} } \\[/tex]

                          [tex]=1.645*\frac{0.5}{\sqrt{300} } \\=0.0475\\[/tex]

                          = 4.75%

What is the greatest possible error if bruce measured a buckle as 3.2 cm using the ruler? what is the greatest possible error? 0.5 0.05 0.005 0.0005

Answers

Answer:

I believe it's 5.0

Step-by-step explanation:

I believe so if its not I'm sorry

The figure shown is made up of a cone and a cylinder. The height of the cone is 5 ft and its diameter is 12 ft. The height of the cylinder is 20 ft.

Diagram shows a composite shape formed by placing a cone next to a cylinder that share a common circular base. The diameter of the cone is labeled 12 feet, the height of the cone is labeled 5 feet, and the height of the cylinder is labeled 20 feet.
Find the lateral surface area of the cone and the surface area of the sides and bottom of the cylinder.

The lateral surface area of the cone is about Blank ft2. The surface area of the sides and the bottom of the cylinder is about blank ft2. The total surface area of the figure is about blank ft2.

Options for blank 1
A.260
B.188
C. 147
Options for blank 2
A. 980
B. 867
C. 1,508
Options for blank 3
A. 1,168
B. 1,768
C.1,127
D. 1,014

Answers

The lateral area of a cone is 147ft².

The total surface area of the cylinder is 867ft².

The total surface area is 1014ft²

What is the lateral surface area of a cone?

The lateral area of a cone is defined as the area covered by the curved surface of the cone.

Lateral area of a cone = πr x √(r² + h²)

Where:

r = radius = 12/2 = 6ft h = height = 5ftπ = 3.14

3.14 x 6 x √(36 + 25) = 147ft²

What is the total surface area of the figure ?

Total surface area of the cylinder : πr(r + 2h),

(3.14 x 6) x (6 + 40) = 867ft²

Total surface area = 867 + 147=  1014ft²

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Which value is a solution for the equation tan/2=-1

Answers

The value of the solution is 3π/2.

What is a trigonometric equation?

An equation involving one or more trigonometric ratios of unknown angles is called a trigonometric equation.

tan x/2 = -1

tanx/2 = tan(-π/4)

tanx=tanФ

⇒ The general equation of tanx=tanФ is

⇒ x=nπ+Ф

x/2=nπ+(-π/4)

at n=0

x/2=-π/4

x=-π/2

at n=1

x/2=π-π/4

x/2=3π/4

x=3π/2

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Questions: Which value is a solution for the equation tan x/2 = -1?

A. 5pi/4

B. 7pi/4

C. 3pi/4

D. 3pi/2

Determine whether the following series converges conditionally, converges absolutely, or diverges. Be sure to state which test(s) you are using.

Answers

Answer:

Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

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Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

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Correct answer:

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Explanation:

Step-by-step explanation:

Find the interval of convergence of the following series

Possible Answers:

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Correct answer:

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Explanation:

Find the interval of convergence of the following series

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Explanation:Find the interval of convergence of the following series

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Explanation:Find the interval of convergence of the following series

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Explanation:Find the interval of convergence of the following series

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Explanation:

Find the interval of convergence of the following series

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Correct answer:

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Explanation:

Find the interval of convergence of the following series

Possible Answers:

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Correct answer:

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Find the interval of convergence of the following series

Possible Answers:

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Correct answer:

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Explanation:Find the interval of convergence of the following series

Possible Answers:

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Correct answer:

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Find the interval of convergence of the following series

Possible Answers:

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Correct answer:

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Explanation:Find the interval of convergence of the following series

Possible Answers:

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Correct answer:

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Explanation:

Explanation:

Explanation:Find the interval of convergence of the following series

Possible Answers:

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Correct answer:

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Explanation:

Find the interval of convergence of the following series

Possible Answers:

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Correct answer:

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Explanation:Find the interval of convergence of the following series

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Explanation:Find the interval of convergence of the following series

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Explanation:Find the interval of convergence of the following series

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Explanation:Find the interval of convergence of the following series

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Explanation:Find the interval of convergence of the following series

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Explanation:

Find the interval of convergence of the following series

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Explanation:Find the interval of convergence of the following series

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Explanation:Find the interval of convergence of the following series

Possible Answers:

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Correct answer:

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Explanation:

When strawberry prices increase 20 percent, the quantity demanded of whipped cream falls 10 percent. what is the cross-price elasticity of demand between strawberries and whipped cream?

Answers

The cross-price elasticity of demand between strawberries and whipped cream is (C) -0.5.

What is the cross-price elasticity of demand?The cross elasticity of demand, also known as the cross-price elasticity of demand, is a measure in economics that compares the percentage change in the quantity desired for one commodity to the percentage change in the price of another good, everything else being equal. In practice, the amount desired of a thing is affected not only by its own price (price elasticity of demand) but also by the prices of other "related" products.As an example, when strawberry prices rise by 20%, demand for whipped cream falls by 10%. The cross-price elasticity of demand between strawberries and whipped cream is -0.5.

Therefore, the cross-price elasticity of demand between strawberries and whipped cream is (C) -0.5.

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The complete question is given below:

When strawberry prices increase by 20 percent, the quantity demanded of whipped cream falls by 10 percent. What is the cross-price elasticity of demand between strawberries and whipped cream?

a. -2

b. 2

c. -0.5

d. 0.5

A school club has 5 members. From these 5 members, a 2-person team must be chosen to represent the club at a school carnival. How many different 2-person teams can be made from the 5 club members?

A 10 teams
B 15 teams
C 20 teams
D 25 teams

Answers

Answer:

20 teams can be made

Answer:

A.  10 teams

Step-by-step explanation:

a 2-person team is a combination of two elements out of 5.

Then

The number of possible teams is :

[tex]C^{2}_5 = \frac{5!}{2! \times (5-2)!} = \frac{5!}{2! \times 3!}=10[/tex]

Towns A, B, and C lie on a straight line, as shown below. Jack and Arthur start at Town B and drive for an hour from Town B to Town C, where they stop for an hour to eat lunch. Which of the following graphs could represent their distance from Town A during these two hours?

Answers

Considering the situation described, it can be graphed by the first function.

Which graph models the situation?

Cities A, B and C are on a straight line.

On the first hour, they leave town B to town C, moving farther from Town A, hence the distance is increasing on the first hour.On the second hour, they stop for lunch, meaning that the distance remains constant at the point it was at the end of the first hour.

Hence, the first graph is the correct one for this problem.

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The side length of each square is 6 units.

Answers

The area of the square A2 is 20 squared units

How to determine the area of A2?

The complete question requires that we calculate the area of square A2

The side length of each square is 6 units.

So, the side length (L) of A2 is

L^2 = (2)^2 + (6 - 2)^2

This gives

L^2 = 20

The above represents the area of the square A2

Hence, the area of the square A2 is 20 squared units

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Answer:

Triangle Area = 4 units^2

Step-by-step explanation:

assuming you are looking for the area of ​​the triangles, there is no specific question, they are right-angled triangles congruent with the catheti of 2 and 4 units.

Triangle area = 1/2 base x height.

so 1/2 2 * 4 = 4 units^2

The net of a cylinder has two parts.
True False

Answers

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The net of a cylinder has a rectangle for the lateral area and 2 circles for the bases, so it has 3 parts.

Answer: False

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