according to the model, an extra pound of weight causes the self esteem score to go down by points. this slope is negative and shows that the variables of a child's weight and self-esteem have a negative correlation. true or false

Answers

Answer 1

Answer:

  true

Step-by-step explanation:

You want to know if weight and self-esteem have a negative correlation if an increase in weight causes self-esteem to go down (the slope is negative).

Correlation coefficient

The slope of the line of best fit has the same sign as the correlation coefficient. The magnitude of the correlation coefficient is the ratio of the covariance to the product of the standard deviations of the variables.

It is true that the weight and self-esteem have negative correlation.


Related Questions

The function f represents the 1000 revenue in dollars the school can 800 expect to receive if it sells 220 – 12x coffee mugs for x dollars 600 each. 400 200 Here is the graph of ƒ. 2 4 6 8 10 12 14 16 18 20 price (dollars) Select all the statements that describe this situation. a. At $2 per coffee mug, the revenue will be $96. b. The school expects to sell 160 mugs if the price is $5 each. c. The school will lose money if it sells the mugs for more than $10 each. d. The school will earn about $1000 if it sells the mugs for $10 each. e. The revenue will be more than $70o if the price is between $4 and $14. f. The expected revenue will increase if the price per mug is greater than $10. g. The domain for this situation is about 0 - 9. h. The domain for this situation is about 0 - 18.25. revenue (dollars)

Answers

The function f represents the 1000 revenue in dollars the school can 800 expect to receive if it sells 220 – 12x coffee mugs for x dollars 600 each.

The statements that accurately describe this situation are:

False. The revenue at $2 per mug is $336, not $96.True. The school expects to sell 160 mugs if the price is $5 each.False. The revenue is maximized when the price per mug is around $9, so selling mugs for more than $10 does not necessarily result in a net loss.True. The revenue at $10 per mug is approximately $1000.True. The revenue is always above $700 if the price is between $4 and $14.False. The revenue is maximized when the price per mug is around $9, so the expected revenue will not increase if the price per mug is greater than $10.The domain for this situation is about 0-18.25. This is the set of all possible values for x, the price per mug. From the graph, we can see that the maximum price per mug that yields a positive revenue is around $18.25. Therefore, any value of x between 0 and 18.25 is in the domain.

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QRT=(3x+5)
TRS=(10x-7)
Find the measure of each angle.

Answers

Answer:

I'm sorry, but the given expressions QRT and TRS do not seem to correspond to angles. They appear to be algebraic expressions involving variables x. Without further information or context, it is not possible to determine any angles or measures of angles.

Please provide additional information or clarify the question.

what is the expected count for women for the presence of aortic stenosis? a. 49.7 b. 59.3 c. 109 d. 57.7

Answers

The expected count for women for the presence of aortic stenosis is 57.7. The correct option is D.

What is aortic stenosis?

Aortic stenosis is a cardiovascular ailment that causes the aortic valve in the heart to narrow, reducing blood flow from the heart to the rest of the body. Aortic stenosis usually progresses gradually and, in the beginning, may not produce any symptoms.

The severity of aortic stenosis is divided into four categories, ranging from mild to severe. People who are asymptomatic may require monitoring, whereas those who are symptomatic may need to undergo surgery or other procedures.

The expected count for women for the presence of aortic stenosis in this question refers to the number of women who have this condition according to a particular study or statistic.

Therefore, the correct option is D.

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I need help please ​

Answers

Answer:

64 sq cm

Step-by-step explanation:

triangle area = 1/2*b*h (×4 because 4 triangles)

square area = lw

Can i get assistance with this?

Answers

Answer:

  see attached

Step-by-step explanation:

You want the given triangle dilated by a factor of -3 about point A.

Dilation

To find the image point corresponding to a pre-image point, multiply the pre-image point's distance from A by the dilation factor. The negative sign means the distance to the image point is measured in the opposite direction.

In the attached figure, the chosen point is 4 units up and 5 units right of A. Its image in the dilated figure is 3·4 = 12 units down, and 3·5 = 15 units left of A.

This same process can be used to locate the other vertices of the triangle's image.

Can somebody help me, please

Answers

Answer:

uh I don't even know what this is

Answer: x = 500

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

300² + 400² = x²

90000 + 160000 = x²

250000 = x²

√250000 = √x²

500 = x

hope i explained it :)

how long will a car take to travel 140km averaging a speed of 35km/h

Answers

Answer:

Step-by-step explanation:

To calculate the time it will take a car to travel 140km at an average speed of 35km/h, we can use the formula:

time = distance ÷ speed

Plugging in the given values, we get:

time = 140km ÷ 35km/h

time = 4 hours

Therefore, it will take a car 4 hours to travel 140km at an average speed of 35km/h.

Answer:

Car will take 4 hours

Step-by-step explanation:

[tex]\large{\blue{\star} \: {\underline{\boxed{\pmb{\tt{Time = \dfrac{Distance}{Speed}}}}}}}[/tex]

[tex]\large{\leadsto{\sf{Given_{(Distance)} = 140 \: km}}}[/tex]

[tex]\large{\leadsto{\sf{Given_{(Speed)} = 35 \: km/hr}}}[/tex]

[tex]\large{\underline{\underline{\sf{Applying \: Formula:-}}}}[/tex]

[tex]\large{\leadsto{\sf{Required_{(Time)} = \bigg(\dfrac{\cancel{140}}{\cancel{35}}\bigg)} \: hr}}[/tex]

[tex]\large{\purple{\boxed{\leadsto{\sf{Required_{(Time)} = 4 \: hr}}}}}[/tex]

━━━━━━━━━━━━━━━━━━━━━━

[tex]\star \: {\large{\underline{\underline{\pink{\mathfrak{More:-}}}}}} \: \star[/tex]

[tex]\large{\dashrightarrow{\sf{Time = \dfrac{Distance}{Speed}}}}[/tex]

[tex]\large{\dashrightarrow{\sf{Speed = \dfrac{Distance}{Time}}}}[/tex]

[tex]\large{\dashrightarrow{\sf{Distance = Speed \times Time}}}[/tex]

Describe the possible echelon forms of the following matrix. A is a 2x2 matrix with linearly dependent columns Select all that apply (Note that leading entries marked with an X may have any nonzero value and starred entries (*) may have any value including zero)
a. 0 0
0 0
b. 0 x
0 0
c. x *
0 0
d. x *
0 x

Answers

The possible echelon forms of the given matrix are:

b. 0 x
0 0c. x *
0 0d. x *
0 x


A matrix is in echelon form when it has leading nonzero entries in each row, with each row starting further to the right than the row above it. In the given matrix, the first row does not have any nonzero entries, so it does not meet this criterion. The second row does have a nonzero entry (x) so it can meet the criterion, provided that it is the leading entry.

This is the case for b. 0 x
0 0, c. x *
0 0, and d. x *
0 x.
The other criterion for echelon form is that all starred entries (*) may have any value including zero. This criterion is met in all three cases.

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The shipping container shown is a rectangular prism. Write a polynomial in standard form that represents the volume of the container.

Answers

Answer:

V = (4y³ + 6y² - 4y - 6) ft³

Step-by-step explanation:

Its a rectangular prism so its Volume is its lenght * its width* its height:

V = l * w * h

V = (4y - 3) ft * (y + 2) ft * (y + 1) ft

V = (4y² + 8y - 6y - 6) ft² * (y + 1) ft

V = (4y² + 2y - 6) ft² * (y + 1) ft

V = (4y³ + 2y² - 6y + 4y² + 2y - 6) ft³

V = (4y³ + 6y² - 4y - 6) ft³

A random variable is normally distributed. It has a mean of 228 and a standard deviation of 16. If you take a sample of size 12, can you say what the shape of the sampling distribution for the sample mean is? Why?
A. If the sample size is 12, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is less than 30.
B. If the sample size is 12, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed.
C. If the sample size is 12, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is less than 30.

Answers

If a random variable is normally distributed, and has a mean of 228 and

a standard deviation of 16. If a sample of size 12 is taken, then the shape

of the sampling distribution for the sample mean is normally distributed

since the variable is normally distributed. Hence, option B is correct.

A normal distribution is a type of probability distribution in which the

value of the mean, standard deviation, and random variables are well

known. Sampling distribution refers to the probability distribution of the

statistics that have been derived from a sample taken from a population.

As per the Central Limit Theorem, if the sample size is large enough,

then the sampling distribution of the sample means will be normally

distributed, no matter how the population looks. If the random variable is

normally distributed, then the sampling distribution of the sample mean

will also be normally distributed, no matter what the size of the sample is.

Hence, option B is the correct answer as the sampling distribution of the

sample mean is normally distributed since the variable is normally distributed.

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please help!!
4.
Two bikers meet at a park. Biker A needs to stop at the store that is 12 miles east of the park. Biker B heads southeast at a 61° angle at the same time for 24 miles. Once biker A leaves the store he heads southwest at an angle of 89° for 21 miles. Do NOT use the law of cosines, use your knowledge from the content of this course.

a. Use your knowledge of triangles to figure out if the two bikers will be able to meet up if each biker travels the distance given.
b. If they do not meet up, how much farther would one of the bikers have to travel to meet the other?
c. What is the measure of the angle between the bikers?
d. What is the relationship between the measure of the angles and the paths the bikers took?
e. Classify the triangle the paths created.
f. How many miles did they travel together?

Answers

a) Biker A follows the hypotenuse of the triangle on a straight path.

It is probable that the bikers will meet at the vertex located at the base of the triangle.

How to solve:

The bikers have created a triangle with sides measuring 12, 21, and 24 miles and angles measuring 61, 89, and 30 degrees, respectively.

a) Biker A follows the hypotenuse of the triangle on a straight path.

It is probable that the bikers will meet at the vertex located at the base of the triangle.

They cover almost equal distances from their starting points:

24 miles ≈ √12²+21² miles

b) They encounter each other.

c) The angle at one vertex measures 30 degrees.

d) e) As shown in the attached picture, it is an almost right triangle.

f) Together, they cover a total distance of 57 miles (12+21+24).

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In the morning 134 books were checked out from the library.in the afternoon 254 books were checked out and 188 books were checked out in the evening.how many books were checked out in the library that day?

Answers

Answer:

576 books.

Step-by-step explanation:

134+254+188=576 books in total.

Answer:

576

Step-by-step explanation:

This is literally easy!

Checked books are 134 + 254 + 188 = 576

the product of 2 rational numbers is 16/3.If one of the rational number is -26/3,find the other rational number

Answers

Answer:

- [tex]\frac{8}{13}[/tex]

Step-by-step explanation:

let n be the other rational number , then

- [tex]\frac{26}{3}[/tex] n = [tex]\frac{16}{3}[/tex]

[a number × its reciprocal = 1 ]

multiply both sides by the reciprocal - [tex]\frac{3}{26}[/tex]

n = [tex]\frac{16}{3}[/tex] × - [tex]\frac{3}{26}[/tex]  ( cancel the 3 on numerator/ denominator )

n = - [tex]\frac{16}{26}[/tex] = - [tex]\frac{8}{13}[/tex]

Which of the following statements are true?(Choose all correct answers)Methods cannot be written with parameters.Parameter values can never be used within the method code block.Methods can be written with any number of parameters.Methods can never be written with more than four parameters.Parameter values can be used within the method code block

Answers

The true statement is, Parameter values can be used within the method code block. (option e).

In computer programming, methods are used to group a set of instructions together that can be executed repeatedly. Parameters are used to pass values to a method so that the method can perform specific actions based on the values passed. Let's discuss the given statements one by one to determine which ones are true.

Parameter values can be used within the method code block.

This statement is true. Parameter values can be used within the method code block to perform specific actions. The parameter values can be manipulated or combined with other values to produce the desired result.

In summary, methods can be written with any number of parameters, and parameter values can be used within the method code block to perform specific actions. The number of parameters needed will depend on the specific task the method is designed to perform.

Hence the option (e) is correct.

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solve for x using a tangent and a secant line

Answers

Check the picture below.

[tex]11^2=(x+3)(3)\implies 121=3x+9\implies 112=3x \\\\\\ \cfrac{112}{3}=x\implies 37.3\approx x[/tex]

use the formula for the sum of a geometric series to find the sum or state that the series diverges. (use symbolic notation and fractions where needed. enter dne if the series diverges.) (4^3 / 5^3) + (4^4 / 5^4) + (4^5 / 5^5) = ________--

Answers

The sum of the geometric series is 3904/3125.

By using the formula for the sum of a geometric series, we'll have to identify the first term, the common ratio, and the number of terms.

Let's identify the first term, the common ratio, and the number of terms in the given series as shown below;

The first term, a = 4³/5³

Common ratio, r = 4/5

The number of terms, n = 3

We have identified the values of a, r, and n, we can now substitute them into the formula for the sum of a geometric series, shown below;

S_n = a(1 - rⁿ) / (1 - r)

S₃ = {(4³/5³) [1 - (4/5)³]} / [1 - (4/5)]

S₃ = {(64/125) [1 - (64/125)]} / [1/5]

S₃ = (64/125) [(125-64)/125] [5/1]

S₃ = (64/125) (61/125) (5)

Therefore, S₃ = 3904/3125.

Thus, the sum of the geometric series (4³/5³) + (4⁴/5⁴) + (4⁵/5⁵) is equal to 3904/3125.

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suppose one painter can paint the entire house in twelve hours, and the second painter takes eight hours to paint a similarly-sized house. how long would it take the two painters together to paint the house?

Answers

It would take the two painters together eight hours to paint the house

Step-by-step explanation: Given that, One painter can paint the entire house in twelve hours. The second painter takes eight hours to paint a similarly-sized house. To find, How long would it take the two painters together to paint the house? Suppose one painter takes x hours to paint the house.

Therefore, the other painter will take x-4 hours to paint the same house. According to the question, [tex]1/x+1/(x-4)=1/12+1/8[/tex] Multiply by LCM, [tex]8(x-4)=12x+12(x-4)8x-32=6x+484x=80x=20[/tex]Therefore, the first painter will take 20 hours to paint the house. The second painter will take 16 hours (20-4). Together they will take, [tex]1/20+1/16=0.1+0.0625=0.1625[/tex] Thus, they will take 6.1538 hours which can be rounded to 4.8 hours.

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WILL GIVE BRAINLIEST 15 POINTS PLEASEE Fill in the blanks pleaseee

Answers

Therefore, we have the values of:

a = -g(x) for -10 < x < -8

b = lower limit of the range where g(x) = -6

c = -C for -1 < x < 1

d = upper limit of the range where g(x) = 4

e = we cannot determine the value of e based on the given information.

What is function?

In mathematics, a function is a rule that assigns a unique output value for every input value in its domain. It is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Functions are often represented by a formula or an equation, but they can also be defined in other ways, such as through graphs, tables, or verbal descriptions. They are used to model a wide variety of phenomena in science, engineering, economics, and many other fields.

Here,

We can find the values of a, b, c, d, and e by examining the given information:

For -15 < x < -10: g(x) = -(-10) = 10

For -10 < x < -8: g(x) = -a

For -1 < x < 1: g(x) = -C

For b < x < l: g(x) = -(-6) = 6

For 10 < x < 15: g(x) = -8

For d < x < e: the value of g(x) is not specified in the given information, so we cannot determine the value of e based on this.

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4 1/2 divided by 3 (fraction problem)

Answers

Answer: 9/6 or 1 1/2

Step-by-step explanation:

9/2 ÷ 3

KCF (keep, change, flip)

9/2 × 1/3

Solve.

Final answer: 9/6

hope i helped :)

Pls help me I will make u brainest


How many different numbers can be obtained from multiplying 2 distinct integer divisors of 10?

3

4

5

6

7

8

9

Answers

We can obtain 6 different numbers by multiplying 2 distinct integer divisors of 10.

How many different numbers can be obtained from multiplying 2 distinct integer divisors of 10?

The divisors of 10 are 1, 2, 5, and 10.

To determine how many different numbers can be obtained from multiplying 2 distinct integer divisors.

We need to select 2 distinct divisors and find their product.

The possible pairs are:

1 and 2, product = 21 and 5, product = 51 and 10, product = 102 and 5, product = 102 and 10, product = 205 and 10, product = 50

Therefoore, we can obtain 6 different numbers.

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A researcher claims to have found a drug that causes people to grow taller. The coach of the basketball team at Brandon University has expressed interest but demands evidence. Over 1000 Brandon students volunteer to participate in an experiment to test this new drug. Fifty of the volunteers are randomly selected, their heights are measured, and they are given the drug. Two weeks later, their heights are measured again. The power of the test to detect an average increase in height of 1 inch could be increased by
a. using only volunteers from the basketball team in the experiment.
b. using ἁ =0.05 instead of ἁ =0.05
c. using ἁ =0.05 instead of ἁ =0.01
d. giving the drug to 25 randomly selected students instead of 50.
e. using a two-sided test instead of a one-sided test.

Answers

The power of the test to detect an average increase in height of 1 inch could be increased by d. giving the drug to 25 randomly selected students instead of 50.

The power of a test is the probability of correctly rejecting the null hypothesis when it is false. In this case, the null hypothesis is that the drug does not cause people to grow taller, and the alternative hypothesis is that the drug causes an average increase in height of 1 inch.

To increase the power of the test, we want to increase the probability of correctly rejecting the null hypothesis when it is false. One way to do this is to increase the sample size, which will reduce the standard error of the mean and increase the t-statistic, making it more likely to reject the null hypothesis.

However, in this case, we can increase the power of the test by giving the drug to a smaller sample size of 25 instead of 50. This is because the effect size of the drug is not known, and giving the drug to a larger sample size will increase the variance of the data, making it harder to detect a significant difference. By reducing the sample size, we can increase the power of the test while still maintaining a reasonable sample size.

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Find the surface area of the regular pyramid. Round your answer to two decimal places.

Answers

I believe it’s 105in squared, however I haven’t taken Geometry in awhile

[amc10b.2011.7] the sum of two angles of a triangle is $\frac{6}{5}$ of a right angle, and one of these two angles is $30^{\circ}$ larger than the other. what is the degree measure of the largest angle in the triangle?

Answers

The degree measure of the largest angle is 72° in the triangle.

We have, The sum of two angles of a triangle is 6/5 of a right angle.

One of these two angles is 30° larger than the other.

Let A and B be the two angles of the triangle such that A = B + 30°.

We know that the sum of three angles in a triangle is 180°.

⇒ A + B + C = 180°

⇒ B + 30° + B + C = 180°

⇒ 2B + C = 150°

We also know that the sum of two angles of a triangle is 6/5 of a right angle.

⇒ A + B = 6/5 × 90°

⇒ B + 30° + B = 108°

⇒ 2B = 78°

⇒ B = 39°

C = 150° - 2B ⇒ 72°

A = B + 30° ⇒ 39° + 30° ⇒ 69°

Therefore, the degree measure of the largest angle in the triangle is 72°.

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The value of 5^2000+5^1999/5^1999-5^1997

Answers

Answer:

We can simplify the expression as follows:

5^(2000) + 5^(1999)

5^(1999) - 5^(1997)

= 5^(1999) * (1 + 1/5)

5^(1997) * (1 - 1/25)

= (5/4) * (25/24) * 5^(1999)

= (125/96) * 5^(1999)

Therefore, the value of the expression is (125/96) * 5^(1999).

Step-by-step explanation:

Maths work …………………………

Answers

Answer:

by similarity

as these questions are usually solve by similarity

Help me please I need to show my work

Answers

Answer:

x=33

Step-by-step explanation:

all angles in a triangle sum to 180 degrees

x+2x+(2x+15) = 180 <---- simplify this

5x+15 = 180

5x=165

x = 33

Goods with a cost price of R200 are sold at a mark-up of 100%. The selling price is:​

Answers

If the cost price of the goods is R200 and they are sold at a mark-up of 100%, then the selling price is equal to the cost price plus the mark-up, or:

Selling price = Cost price + Mark-up

Mark-up = 100% x Cost price

= 100% x R200

= R200

So the mark-up is R200.

Selling price = Cost price + Mark-up

= R200 + R200

= R400

Therefore, the selling price of the goods is R400.

Juanita’s Social Security full monthly retirement benefit is $2,128. She started collecting Social Security at age 65. Her benefit is reduced since she started collecting before age 67. Using the reduction percents from Example 1, find her approximate monthly Social Security benefit to the nearest dollar.EXAMPLE 1Marissa from Example 2. What will her monthly benefit be, since she did not wait until age 67 to receive full retirement benefits?SOLUTION Age 67 is considered to be full retirement age if you were born in 1945. If you start collecting Social Security before age 67, your full retirement benefit is reduced, according to the following schedule.• If you start at collecting benefits at 62, the reduction is about 30%.• If you start at collecting benefits at 63, the reduction is about 25%.• If you start at collecting benefits at 64, the reduction is about 20%.• If you start at collecting benefits at 65, the reduction is about 13.3%.• If you start at collecting benefits at 66, the reduction is about 6.7%.Marissa’s full retirement benefit was $1,130.40. Since she retired at age 65, the benefit will be reduced about 13.3%.Find 13.3% of $1,130.40, and round to the nearest cent.0.133 x 1,130.40Subtract to find the benefit Marissa would receive.1,130.40 x 150.34Marissa’s benefit would be about $980.06.EXAMPLE 2Marissa reached age 62 in 2007. She did not retire until years later. Over her life, she earned an average of $2,300 per month after her earnings were adjusted for inflation. What is her Social Security full retirement benefit?

Answers

Juanita's approximate monthly Social Security benefit is $1,844.90 to the nearest dollar.

What is social security benefits retirement age?

The age at which a person is qualified to receive their full retirement payment under Social Security is determined by their lifetime earnings history. The complete retirement age for anybody born in 1960 or later is 67. The complete retirement age is steadily lowered for people born before 1960, and is 65 for those born in 1937 or before.

Given that, Juanita started collecting benefits at age 65.

Thus, her benefits reduced by 13.3%.

0.133 x $2,128 = $283.10

Deducting the reduction amount from the total:

$2,128 - $283.10 = $1,844.90

Hence, Juanita's approximate monthly Social Security benefit is $1,844.90 to the nearest dollar.

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the whole problem is in the pic below

Answers

Answer:

301.733% increase

Step-by-step explanation:

Write the equation of a line perpendicular to `y=3` that goes through the point (-5, 3).

Answers

Answer:

The equation of a line perpendicular to y=3 that goes through the point (-5, 3) is: x = -5.

Step-by-step explanation:

To find the equation of a line perpendicular to y=3 that goes through the point (-5, 3), we need to remember that the slope of a line perpendicular to another line is the negative reciprocal of the slope of the original line.

The equation y=3 is a horizontal line that goes through the point (0,3), and its slope is zero. The negative reciprocal of zero is undefined, which means that the line perpendicular to y=3 is a vertical line.

To find the equation of this vertical line that goes through the point (-5, 3), we can start with the point-slope form of a linear equation:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line. Since the line we want is vertical, its slope is undefined, so we can't use the point-slope form directly. However, we can still write the equation of the line using the point (x1, y1) that it passes through. In this case, (x1, y1) = (-5, 3).

The equation of the vertical line passing through the point (-5, 3) is:

x = -5

This equation tells us that the line is vertical (since it doesn't have any y term) and that it goes through the point (-5, 3) (since it has x=-5).

So, the equation of a line perpendicular to y=3 that goes through the point (-5, 3) is x = -5.

Answer:

x= -5

Step-by-step explanation:

The perpendicular line is anything with x= __.

x= -5 however, will go through the point (-5, 3) and that is our answer.

Other Questions
imagine that a rat in an operant conditioning chamber is performing very well. he moves the pole and we give him a food pellet every time. then we start a new phase. now we will give him food pellets once, on average, every 15 s, regardless of what he is doing. with this phase change we have switched from contigent to non-contigent reinforcement. Kevin, the trainee analyst at Lynach TechSystems, is in charge of allocating suitable Unified Modeling Language (UML) notations to a particular class diagram. In a given diagram, Kevin is designing a relationship in which a given employee can have no payroll deductions or he/she can have many deductions. Which of the following notations should Kevin write to mark this relationship?a.1b.0..*c.1..*d.0..1 suppose we run the stop and wait arq protocol on a link, with 50% line utilization. the link is now replaced with a new one that has half the round trip delay and six times the bit rate. if we do not change the frame length, how much will be the new line utilization? g The single theoretical orientation which can explain various behaviors or disorders in childhood is the ________ perspective.a. biologicalb. None of these.c. psychologicald. family The density function of the continuous random variable X, the total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year, is given in Exercise 3.7 on page 92 as f(x) = {x, 0 < x < 1, 2 - x, 1 lessthanorequalto x lessthanorequalto 2, 0, elsewhere. Find the average number of hours per year that families run their vacuum cleaners. Find the proportion X of individuals who can be expected to respond to a certain mail-order solicitation if X has the density function if professor columbo is interested in the general trend of research findings regarding infant visual attention and childhood intelligence, what technique would be most amenable to his inquiry? You know of a situation where a rep "sold dividends" to one of his customers who purchased mutual fund shares yesterday. Why is "selling dividends" bad for the customer? A ski resort can manufacture enough machine made snow in 4 h to open its steepest run, whereas it would take 12 h of naturally falling snow to provide enough snow. If the resort makes snow while it is snowing naturally, how long (in h) will it take until the run can open? One effect of the publication of Uncle Tom's Cabin wasA. an increased interest in abolition.B. the passage of the Missouri Compromise.C. the birth of the Republican Party.D.an attack on a southern armory. how long does it usually take for a single concussion to fully heal? The table below shows monetary assets for a banking sector at the end of a year.Monetary AssetsValue (in millions)Monetary Base$4,000$4,000Currency in Circulation$1,500$1,500M1$6,500$6,500Based on the data provided, what is the value of total reserves held by depository institutions?A. $500 millionB. $1,500 millionC. $2,500 millionD. $5,500 millionE. $8,000 million What factors have contributed to the growth of presidential powers?National emergencies, the economic and social life of the country, and the unity of his presidency has led to the growth of presidential power. What happened concerning slavery as a result of the Civil War? a. The 13th Amendment abolishes slavery. b. The 12th Amendment abolishes slavery . c. The 10th Amendment abolishes slavery. what is the shortest to longest 1 2/5 and 1 3/4 and 1 7/10 Find the missing length in a figure. Martin Pincher purchased a snow shovel for $28.61, a winter coat for $23.27, and some rock salt for $7.96. He must pay the state tax of 5 percent, the county tax of 0.5 percent and the city tax of 2.5 percent. What is the total purchase price? In your own words, summarize what happened to Fannie on august 31, 1962 The volume of a right rectangular prism is 7- cm. The height of the prism isWhat is the area of the base of the prism?0 3/1/cm05 crcm92/cmO I don't know.2 crcm. Otto Inc. retires old equipment with a book value of $2,400. Otto shouldMultiple choice question.A. debit cash for $2,400B. not make a journal entryC. recognize a gain of $2,400D. Recognize a loss of $2,400 Suppose that we execute the statements from the previous question, and then we execute these statements:*p1 = *p2;Draw a picture of memory after this additional statement.