if there appears to be a relationship in scatterplot 4, would you describe the linear relationship as positive or negative?

Answers

Answer 1

if there appears to be a relationship in scatterplot 4,The linear relationship in scatterplot 4 appears to be negative.

When examining scatterplot 4, we can see that as the values of the x-axis increase, the values of the y-axis decrease in a linear relationship. This implies that as the values of the x-axis increase, the values of the y-axis decrease at a constant rate. This indicates a negative linear relationship between the two variables, meaning that as one variable increases, the other variable decreases in a linear fashion.

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Related Questions

jacob, a researcher, asks the participants of his study to transfer data from 12 spreadsheets to 12 different documents. he observes that the participants gain more efficiency in transferring the data with each new spreadsheet. this scenario exemplifies a(n)

Answers

The scenario exemplifies a(n) that effect is practice effect

In experiments utilising within-subjects designs, the practise effect is especially problematic since participants' performance on the study variable may increase just by engaging in the activity again, independent of any study manipulations the researcher may have imposed.

When a test is retaken, the practise effects have an impact on the results. A practise effect, for instance, can result from taking numerous practise SAT exams; practise can raise your overall score.

Counter balancing is one strategy for limiting the effects of practise. It is possible that the trials will use randomization or will use every feasible order for administering treatments to subjects.

According to the question,

Jacob observes that the participants gain more efficiency in transferring the data with each new spreadsheet. this scenario exemplifies a(n) that this is Practice effect

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Spin a spinner numbered 1-8 and you land on 8 twice in a row what is the probability?

Answers

The probability that you land on 8 twice is 1/64

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

We spin a spinner numbered 1-8 twice

The total sample space can be given by considering all the possible values

Hence the total number of spins are 8*8= 64 spins

The possibility that getting 8 twice is only once possible. As it will be only one pair in all the possible values.

Hence, The total probability is 1/64

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HELPP 65 POINTS I NEED THEM ALL

It can be expensive to go to the movie theater. The scatter plot shown here gives the average cost in

U.S. dollars of a movie ticket in the U.S. for each year from 1980 to 2013. Using this data, how much do

you think a movie ticket will cost in the years 2020 and 2030? Download the worksheet and complete it.



1. How has the cost of a movie ticket changed over the last 30 years? What has been the general

trend? How can you tell this from the graph? (2 points)


2. What years did the cost of movie ticket decrease compared to the year before? How can you tell

from the graph when the price is decreasing? (2 points)

Student Name:

Predicting Movie Ticket Costs Activity


3. There was a time where the cost of a movie ticket stayed relatively the same over several years.

For what years did the cost stay relatively the same? How can you tell this from the graph? (2

points)


4. The graph could be divided up into three different periods of relatively consistent ticket price

change: The years 1980 – 1988, 1989 – 1993 and 1994 – 2011. Can you find a typical rate of

change in the price of a ticket for each of these time periods? In other words, on average, by

how much did the price of a ticket increase by each year during each of these time periods?

(2 points)


5. Predict the cost of a ticket in 2012 – 2015. Plot your predictions and give your actual predictions

for each year below. How did you determine how much a ticket would cost each year? (2 points)


6. What might have been the cost of a ticket during the years 1975 – 1979? Plot your estimates on

the grid and give your actual predictions for each year below. How did you determine how much

a ticket would cost each year? (2 points)



Predicting Movie Ticket Costs Activity

7. Find a line of best fit to represent the data. Let y = ticket price and x = the number of years since

1980 (1980 is year zero, 1981 is year one). Approximate a line to represent the data, a slope, a y-intercept and equation that models your line of best fit. (2 points)



8. Use your equation (or graph or a table) to predict the cost of a movie ticket in the years 2020

and 2030. Be sure to show how you came to each answer. (2 points)

Answers

Perhaps in other parts of the country, ticket prices are much cheaper. So, the average of all of the ticket prices turns out to be less.

What do you mean by rates?

A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio indicates the rate of change in the other (dependent) variable if the denominator of the ratio is written as a single unit of one of these quantities, and if it is assumed that this quantity may be modified systematically (i.e., is an independent variable).

1. Perhaps in other parts of the country, ticket prices are much cheaper. So, the average of all of the ticket prices turns out to be less.

2. From 1988 to 1989 the cost of a ticket decreased. Also from 1991 to 1992 the cost decreased a little. The graph slants a little downward.\

3. From 1990 to 1994 the cost stayed pretty much the same. Those years on the graph look almost level... not sloping upward or downward.

4.  1980-1988 price increased from about $2.75 to about $4.25 $1.50 over 8 years = $0.19 per year 1989-1993 price increased from about $4.00 to about $4.20 = $0.20 over 4 years = $0.05 per year 1994-2011 price increased from about $4.20 to about $8.00 $3.80 over 7 years = $0.54 per year

5. Maybe 2012 will be $8.20, 2013 will be $8.30, 2014 will be $8.50, 2015 will be $8.60 ish
Maybe I should make the price go up about $0.17 cents per year ... on average.

6.  1979 maybe $2.52
     1978 maybe $2.36
     1977 maybe $2.19
     1976 maybe $2.02
      975 maybe $1.85
I figured that the price was going down, on average, at about $0.17 per year.

7. one possibility might be y=$5.30/31 x + $2.70 or y = 0.17x+2.7.

8.Using the equation that we fit to this data y = 0.17x + 2.7 we get 0.17(40) + 2.7= $9.50 for the year 2020 and for the year 2030 we get 0.17(50)+2.7 $11.20

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Answer:

Step-by-step explanation:

its b like this the aetter  number g

Which of the following is the vertex form of Y = X² - 2x + 5 *?

Answers

(x -1)2 = y - 4 is the vertex form of the equation Y = X² - 2x + 5.

What is the vertex form?

A quadratic function has the vertex form f(x) = a(x - h)2 + k, where a, h, and k are constants.

Obtain the equation y = ax2 + bx + c.

Determine -b / 2A.

The vertex's x-coordinate is given here.

Simply enter the value of -b / 2a into the equation for x and solve for y to obtain the vertex's y-coordinate.

The vertex's y-coordinate is given here.

So, we have the equation:

Y = X² - 2x + 5

Now, calculate as follows:

⇒ y = (x2 - 2x + 1) + 5 -1

⇒ y - 4 = (x -1)2

⇒ (x -1)2 = y - 4

Therefore, (x -1)2 = y - 4 is the vertex form of the equation Y = X² - 2x + 5.

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15+14+13+12+11+10+9+8+7+6+5+4+3+2+1

Answers

Answer:

120

Step-by-step explanation:

Don't know if this is a joke, but have a great day regardless!

I believe that this is the correct answer it should be marked as 5stars to help others

Write the equation for the function.​

Answers

Answer:

x³ -6x² +11x-6

Step-by-step explanation:

as there are three zeros visible, we assume the function is cubic. It can be written in the form ax³ +bx²+cx +d. Another form of writing a function is by making the brackets (x-x0), where x0 is the zero of the function (the value of the function for x0 is equal zero):  a(x-1)(x-2)(x-3) (I assumed a is 1). By multiplying the brackets, you got the answer.

Mark did a survey.
He asked pupils in his school:

‘Do you like the colour of the school uniform?’

Mark asked this question to 40 pupils in year 11

25% said ‘Yes’. 50% said ‘No’. The rest said ‘Don’t know’.

Complete the table to show how many pupils from year 11 gave each answer.

Answers

The following numbers will be illustrated in the table:

Those that said yes = 10

Those that said no = 20

Those that said don't know = 10

How to illustrate the percentage?

It should simony be noted that a percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Number of pupil = 40

25% said ‘Yes’. This will be:

= 25% × 40.

= 10

50% said ‘No’. This will be:

= 50% × 40

= 20

The rest said ‘Don’t know’. This will be:

= 25% × 40

= 10

In conclusion, those who said yes are 10 while those who said no are 20.

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In triangle XYZ, mZZ = (5m - 15) and the exterior angle to Z measures (7m + 3). Determine the value of m.
Om=6
Om = 8.5
Om = 15
Om = 16

Answers

The value of m in the triangle XYZ is 16. option D

How to determine the value

It is important to note that the sum of angles in a triangle is 180 degrees.

From the information given, we have that;

Angle MZ is the exterior angle = (5m - 15)Angle Z is the interior angle = 7m + 3

Then we have that;

Angle MZ + Angle Z = 180

Now, substitute the values into the formula, we have;

(5m - 15) + (7m + 3) = 180°

expand the bracket

5m - 15 + 7m + 3 = 180°

collect like terms

12m - 12 = 180°

12m = 180 + 12

Add the like terms

12m = 192

Make 'm' the subject of formula by dividing both sides by 12, we get;

12m/12 = 192/12

m = 16

The value is 16.

Thus, the value is 16

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$89.75 scooter ; 7.25% tax

Answers

Answer: $96.25

Step-by-step explanation:

Take 89.75 divided by 100% = 0.8975

Then times 7.25% = $6.5

Total is 89.75 + 6.5 = $96.25

the perimeters of a rectangle and an equilateral triangle are equal. what is the equation for this scenario?rectangle’s perimeter:equilateral triangle’s perimeter:scenario’s equation:

Answers

The total length of a boundary defines the perimeter of an equilateral triangle.

What is the Perimeter of an Equilateral Triangle?The total of the three sides makes up the perimeter of an equilateral triangle. The following fundamental characteristics define a triangle as being equilateral:The three sides are equal.There is a 60° angle between all three.The sides of the triangle PQ = QR = RP in the following illustration have equal lengths. The triangle's angles are also equal in addition to this. An equilateral triangle is what this is. An equilateral triangle's perimeter is now equal to 3a, where a denotes one of the triangle's sides.Perimeter of Equilateral Triangle Formula : P = 3a, where 'a' stands for one of the triangle's sides, is a simple formula for calculating an equilateral triangle's perimeter. An equilateral triangle has three equal sides, hence the sum is equal to three equal sides, or 3a.Additional equilateral triangle formulas include the following: When we need to determine a triangle's height from its sides, we can apply the following formula: Equilateral Triangle Height = (3a)/2The semi-perimeter of an equilateral triangle must be determined in a few situations. Half of a perimeter, or semi-perimeter, is equal to 3a/2, which is derived using the formula semi-perimeter = (a + a + a)/2.

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Answer:

The equation for scenario is 2(l + b) = 3a

The rectangle’s perimeter is 2(l + b)

The equilateral triangle’s perimeter is 3a

What is perimeter ?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.

According to question

The perimeters of a rectangle and an equilateral triangle are equal.

So

let,

The length and breadth of the rectangle are l & b

And

Side of an equilateral triangle is a

Now

The rectangle’s perimeter = 2(length + breadth)

⇒ 2(l + b)

And

The equilateral triangle’s perimeter = Sum of All sides

⇒ a + a + a

⇒ 3a

Therefore

    perimeters of a rectangle = perimeters an equilateral triangle

              2(l + b) = 3a

hence, 2(l + b) = 3a is the equation which show that perimeter of rectangle and equilateral triangle is equal.

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Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side PM. Round your answer to the nearest tenth if necessary.

Answers

Answer: 76.2

Step-by-step explanation:

54/17=3.176

3.176=the scale factor

3.176(24)=76.224

Rounded=76.2

Answer:

PM = 76.2 units

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

If two figures are similar then their corresponding sides have same ratio.

Find ratios:

PM / LI = ON / KJ

Substitute and find the value of PM:

PM / 24 = 54 / 17PM = 24*54/17PM = 76.2 (rounded)

A real estate agent sold a house for $315,000 last week. If her commission is 1.25% of the selling price of the home, find the amount of her commission?

Answers

The required amount of her commission is given as $3937.5.

Given that,
A real estate agent sold a house for $315,000 last week. The commission is 1.25% of the selling price of the home,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Commission = 1.25% of $315000
Commission = 1.25× 315000/100
Commission = $3,937.5

Thus, the required amount of her commission is given as $3937.5.

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Label the illustrations based on the Gestalt principles of grouping:
a. closure
b. proximity
c. continuity
d. illusory contours
e. simillarity

Answers

Closure is one of the Gestalt principles of grouping which states that elements are perceived as being grouped together if they are near each other and form a closure.

Proximity is another Gestalt principle of grouping which states that elements that are close together are perceived as being related. In the illustration below, the three squares appear to be grouped together because of their proximity to each other.

Continuity is another Gestalt principle of grouping which states that elements are perceived as being grouped together if they are arranged in a continuous line or curve. In the illustration below, the three triangles appear to be grouped together because they are arranged in a continuous line.

Illusory contours is another Gestalt principle of grouping which states that elements are perceived as being grouped together if they create an illusion of a contour or shape.

Similarity is another Gestalt principle of grouping which states that elements are perceived as being related if they have similar characteristics or features. In the illustration below, the two triangles appear to be grouped together because they are the same color and size.

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What is the equation of the line that passes through the point (-3,-3)(−3,−3) and has a slope of 33?

Answers

The required equation of the line having a slope of 33 and passing through (-3, - 3) is y = 33x + 96.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Let the required line be y = mx + b.

∴ - 3 = (33)(-3) + b.

- 3 = - 99 + b.

b = 96.

∴ y = 33x + 96 is the required line.

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Solve for x

8/x = 28/42

Answers

Answer:

The answer is 12

Step-by-step explanation:

8/x = 28/42

8/x = 2/3

(8) × 3 = (2) × (x)

2x = 24

2x/2 = 24/2

y = 12

y = 12Thus, The value of y is 12

Answer:

12

Step-by-step explanation:

use the theory of cross multiply

so 8•42=28x

        336=28x

             x=12

should a test of statistical significance be conducted before or after computing d and interpreting its value?

Answers

Yes, a test of statistical significance be conducted before or after computing d and interpreting its value.

The p-value is an important phrase for hypothesis testing in the context of statistical significance of data.

The p-value is defined as a function of observed sample outcomes that is used to evaluate statistical hypotheses. Before running the test, a threshold value must be chosen.

The significance is a figure that represents the probability that the outcome of a study occurred entirely by chance. The statistical significance can be low or high. It does not always imply practical significance. When a researcher does not use language carefully in their experiment report, the significance may be misconstrued.

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What is the solution to the following system of equations
7x+2y=24
8x+2y=30

Answers

#x=6, y=-9#
Explanation:
Subtract equation one from equation two
#x+o=6#
Put #x=6# into #7x+2y=24#
#=> 42+2y=24#
#2y=-18#
#y=-9#

Which equation has no solution?
O 4(x+3) + 2x= 6(x+2)
O 5+2(3+2x) = x+3 (x+1)
O 5(x+3) + x = 4 (x+3) + 3
O 4 + 6(2+x) = 2(3x+8)

Answers

We know that the equation (B) 5+2(3+2x) = x+3 (x+1) has no solution.

What are equations?

The definition of equations in algebra is a mathematical statement that shows the equality of two mathematical equations.

For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign.

Solve equations to find the equation which has no solution as follows:

(A) 4(x+3) + 2x= 6(x+2)

4(x + 3) + 2x = 6(x + 2)

4x + 12 + 2x = 6x + 12

6x = 6x

L. H. S = R. H. S

(B) 5+2(3+2x) = x+3 (x+1)

5 + 2(3 + 2x) = x + 3(x + 1)

5 + 6 + 4x = x + 3x + 3

11 + 4x = 4x + 3

L. H. S ≠ R. H. S

(We got our answer and so we don't need to solve further options)

Therefore, we know that the equation (B) 5+2(3+2x) = x+3 (x+1) has no solution.

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Correct question:

Which equation has no solution?

a 4(x+3) + 2x= 6(x+2)

b 5+2(3+2x) = x+3 (x+1)

c 5(x+3) + x = 4 (x+3) + 3

d 4 + 6(2+x) = 2(3x+8)

A mountaineer is climbing on a cliff. She is 400 feet above the ground. If she climbs up, this will be a positive change. If she climbs down, this will be a negative change.
Complete the table.

Answers

Answer:

I  added a picture, hope this helps!

Step-by-step explanation:

Let me know if you need to show work

In a park, the number of plants increased by 9% over the previous year. If the number of plants now is 62, 130, how many plants were there in the previous year?​

Answers

Answer:

55.8,117

Step-by-step explanation:

62 times 0.9 is 55.8

130 times 0.9 is 117

I hope this helps!

A sociologist is studying the effect of having children within the first 2 years of marriage on the divorce rate. Using hospital birth records, she selects a simple random sample of 200 couples who had children within the first 2 years of marriage. Following up on these couples, she finds that 80 couples are divorced within 5 years. Let p= the population proportion of couples who had children within the first 2 years of marriage and are divorced within 5 years. What is a 90% plus four confidence interval for the proportion of couples who had children within the first 2 years of marriage and are divorced within 5 years?

Question options:

0.402 ± 0.088

0.402 ± 0.067

0.402 ± 0.057

0.402 ± 0.035

Answers

the confidence interval for 90% plus four is 0.4±0.067

what is confidence interval?

It refers to an average value of our estimated value plus and minus the variation of the estimated value.

why confidence interval is important in the statistics?

In the statistics confidence level indicates the level of reliability of a particular estimation.

Let, p is the population proportion of couples who had children within the first 2 years of marriage and are divorced within 5 years.

as per above question p=80

number of random samples = n

 n=200

now q is the ratio of p/ number of random samples

 q= 80/200 = .04

now confidence interval for 90% plus 4 that means 94% confidence interval is calculated by the formula = q±Zc√{q(1-q)/n}

                                                       = 0.4±1.94√{0.4(1-0.4)/200}

                             where, zc is the z-score for 94% confidence interval and  zc=1.94,

        hence, confidence interval for 94% = 0.4±0.067

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Evaluate the logarithm

Answers

Question:

[tex] ln\dfrac{1}{\sqrt{e^{3}}}=x[/tex]

To find :

Value of x

solution:

[tex] ln\dfrac{1}{\sqrt{e^{3}}}=x\\\\ e^{^{({ln\dfrac{1}{\sqrt{e^{3}}}})}}=e^{x}\\\\ \dfrac{1}{\sqrt{e^{3}}}=e^{x} \\\\ (\dfrac{1}{\sqrt{e^{3}}})^{2}=e^{2x}\\\\ \dfrac{1}{e^{3}}=e^{2x}\\\\ e^{-3}=e^{2x}\\\\ -3=2x \\\\\sf{x=\dfrac{-3}{2}} [/tex]

final answer:

[tex]\pmb{\dfrac{-3}{2}} [/tex]

has mean 20.2 years and standard deviation 1.60 years. of all of those enrolled in the course, 54 percent are men and 46 percent are women. what is the mean age of the combined distribution of both men and women in the course?

Answers

The mean age of the combined distribution of both men and women in the course is 20.47 years

What is average/mean ?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

Mean age of men , M = 20.7 years

Mean age of Women , W = 20.2 years

Percentage of Men = 54%

Percentage of Women = 46%

Recall, :

Mean, μ = np

The mean age of men in the distribution = (20.7 × 54%) = 11.178 years

The mean age of women in the distribution = (20.2 × 46%) = 9.292 years

The mean age of the combined distribution is :

11.178 + 9.292 = 20.47 years

Therefore, the mean age of the combined distribution is 20.47 years

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Oscar is 12 years old and his little sister is 6. Oscar uses a to represent his age. He says that he can use the expression a = 2 to always know his sister's age. Do you agree? Explain.

Answers

Oscar's statement that he can use the expression a = 2 to always know his sister's age is false

How to determine the true statement?

From the question, we have the following parameters that can be used in our computation:

Oscar = 12

His sister = 6

Equation: a = 2x

Where x = his sister's age

The above equation means that

He is always twice as old as his sister

This statement is false, because the equation is only true when he is twelve

When he is 13, his sister will be 7

And a =2x, will be false

Hence. Oscar's statement  is false

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A computer software developer would like to use the number of downloads (in thousands) for the trial version of his new shareware to predict the amount of revenue (in hundreds of dollars) he can make on the full version of the new shareware. Following is the output from a simple linear regression along with the residual plot and normal probability plot obtained from a data set of 30 different sharewares that he has developed:
Regression Statistics Multiple R 0.8691 R Square 0.7554 Adjusted R Square 0.7467 44.4765 Standard Error Observations 30,0000 ANOVA SS MS Significance F 1 171062.9193 171062.9193 86.4759 Regression 0.0000 28 55388.4309 1978.1582 Residual Total 29 226451.3503 Coefficients Standard Emor t Stat P-value Lower 95% Upper 95% 95.0614 26.9183 3.5315 0.0015 150.2009 39,9218 intercept 4.5513 Download 3,7297 9.2992 0.0000 0.4011 2.9082
a) Write down the regression equation.
b) What is the correct interpretation for the slope coefficient?
c) Predict the revenue when the number of downloads is 30,000.
Answer: ______________________________
d) What is the correct interpretation for the coefficient of determination (R2)?
e) The 95% confidence interval estimate for the population slope is (______________ , ______________)
f) Is there sufficient evidence that revenue and the number of downloads are linearly related at a 5% level of significance? Give a reason why.

Answers

Here is sufficient evidence that revenue and the number of downloads are linearly related.

A computer software developer would like to use the number of downloads for the trial version of his new shareware to predict the amount of revenue.

The Null hypothesis is the common statistical theory that asserts that no statistical relationship or significance exist between two sets of observed data and measure phenomena based on a single observed variable.

Therefore the null hypothesis become,

H₀ : ρ₁ = 0

and the adjacent hypothesis will become,

H₁ : ρ ≠ 0

Now we will calculate test statistic,

t = r × [tex]\sqrt{\frac{n-2}{1-r^{2} } }[/tex]

 = (0.8691) × [tex]\sqrt{\frac{30 - 2}{0.1309^{2} } }[/tex]

t = 9.2974

we know that degree of freedom = n - 2 = 28

p-value at t = 9.2974 is 0.00

α = 0.05

since p-value < α

so null hypothesis will be rejected.

Hence we can say that there is sufficient evidence that revenue and the number of downloads are linearly related.

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Write an equation for the proportional relationship shown in the table.

Answers

Answer:

1. k = y/x

k = 17/0.5

k = 34

y = kx         (subtitute the value of k)y = 34x

2. k = y/x

k = 34/1

k = 34

y = kx         (subtitute the value of k)y = 34x

3. k = y/x

k = 51/1.5

k = 34

y = kx         (subtitute the value of k)y = 34x

4. k = y/x

k = 68/2

k = 34

y = kx         (subtitute the value of k)y = 34x

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25 { x }^{ 2 } +36 { y }^{ 2 } True or false: The polynomial is a difference of squares.

Answers

The polynomial 25x² + 36y²  is the sum of the squares.

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, 25x² + 36y² which can be written as,

= 5²x² + 6²y².

= (5x)² + (6y)² it is the sum of the squares, The difference of squares would be (5x)² - (6y)².

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Find a point on the line and the line's slope.
y-5=-2/(x-3)

Answers

Answer:

Slope:  - 4/3

Point (4,1)

Step-by-step explanation:

hope this helps

A rainwater system is structured as shown. The radii are the same for both rain barrels. The shorter rain barrel has a height equal to its radius. The
taller rain barrel has a height twice its radius. The total surface area for both barrels with no top is about 40,212 square centimeters.

Answers

The radius is 1,264 cm

What is the total Surface Area of Cylinder ?

The area of the two circular bases and the area of the curving surface together make up the cylinder's total surface area. The area of the circular top and base, as well as the curved surface area, are included in the overall surface area (CSA).

According to the given information

Let radius = r

Height of shorter rain barrel [tex]h_{1}[/tex] = r

Height of taller rain barrel [tex]h_{2}[/tex] = 2r

We know that

Each Barrel is a cylinder without top

So

Total Surface area for each = 2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex]

TSA for both Barrels = [tex]2\pi rh_{1} + \pi r^{2}+ 2\pi rh_{2} + \pi r^{2}[/tex]

                                  = [tex]2 \pi r^{2} + 2\pi r^{2} + 4\pi r^{2}[/tex] ( put  [tex]h_{1}[/tex] = r , [tex]h_{2}[/tex] = 2r )

                                  = [tex]8\pi r^{2}[/tex]

r = [tex]\sqrt{\frac{TSA}{8\pi } }[/tex]

Total surface area is 40 ,212 [tex]cm^{2}[/tex]

r = [tex]\sqrt{\frac{40,212}{8\pi } }[/tex]

So

The radius is 1,264 cm

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Answer: cylinder , 20

Step-by-step explanation:

Principal = 6,000, rate of interest = 10% p.a., time = 3 years please solve​

Answers

Answer:

$7800

Step-by-step explanation:

1 year = 10%

3 years = 30%

30% = 0.3

6000 times 0.3 = $1800

6000 + 1800 = $7800

So, they will pay $7800

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