Which of the following actions would have the effect of either changing the size or direction (sign) of a Pearson r value pertaining to a set of X and Y scores?
a. adding a constant value to each X and Y score
b. subtracting a constant value from each X and Y score
c. multiplying each X and Y score by a negative constant value
d. dividing each X and Y score by a positive constant value

Answers

Answer 1

All of the actions listed would have the effect of changing the direction (sign) of the Pearson r value. However, only options (a) and (b) would change the size of the Pearson r value.

a. Adding or subtracting a constant value to each X and Y score would change the location of the data points but not the shape or scatter of the data. This would affect both the means and the standard deviations of X and Y, which are used to compute Pearson r, and thus would change the size of the r value.

b. Same as (a), subtracting a constant value from each X and Y score would also change the size of the r value.

c. Multiplying each X and Y score by a negative constant value would reverse the direction of either X or Y axis, effectively flipping the scatterplot horizontally or vertically. This would only change the sign (positive or negative) of the r value, but not the size.

d. Dividing each X and Y score by a positive constant value would scale the scatterplot along the X and Y axes, effectively changing the units of measurement. This would not change the shape or scatter of the data, and the correlation coefficient would be unchanged.

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Related Questions

1 1/3 x 2 3/4 =
ANSWER ASAP AND BE RIGHT
EXPLAINNNN STEP BY STEP
TO BE BRAINLIEST

Answers

Answer:

1/2

Step-by-step explanation:

Find the missing side lengths. Leave your answer as radicals in simplest form.

Find the missing side lengths. Leave your answer as radicals in simplest form.

Answers

The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

How to determine the values

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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The grasshopper jumps either one block to the north, or one block to the west. He needs to reach the point that is located four blocks west and three blocks north of his current position. The grasshopper needs to avoid two dangerous intersections. The first intersection is one block west and one block north of his current position, and the second intersection is two blocks west and two blocks north of his current position. In how many ways can the grasshopper reach the desired destination?

Please help, im kinda new here, so I need answers immediately, I hope brainy doesn't fail me!

Answers

Answer:

The number of ways the grasshopper can reach the desired destination are 9 ways

Step-by-step explanation:

The directions in which the grasshopper can jump are;

One block north  and one block west

By counting, we have;

The number of possible ways are through blocks

1) 1, 2, 5, 6, 8, 10

2) 1, 2, 5, 6, 8, 9

3) 1, 2, 5, 6, 7, 9

4) 1, 2, 3, 6, 8, 10

5) 1, 2, 3, 6, 8, 9

6) 1, 2, 3, 6, 7, 9

7) 1, 2, 3, 4, 7, 9

8) 15, 14, 16, 12, 11, 10

9) 12, 13, 16, 12, 11, 10

Therefore, there 9 ways the grasshopper can reach the desired destination.

The grasshopper jumps either one block to the north, or one block to the west. He needs to reach the

Answer:

9

Step-by-step explanation:

How can intervention development be driven by ABC data that are collected on the function of the target behavior?a. Determine how the ABC contingency can be altered to promote more positive behavior.b. The antecedent condition can be replaced with reinforcement.c. The rate of the behavior can be calculated to set a baseline for shaping.d. All of the above.

Answers

Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )

The method that intervention development will be influenced by the ABC data that are gathered on the function of the target behavior is through the determination of how the ABC contingency can be changed to encourage more positive behavior.

By identifying the functional reinforcers that sustain problem behavior, practitioners can create therapies that are more effective (i.e., from a smaller pool of potential interventions to choose from) and efficient.

Linking therapies to the outcomes of functional assessments has become accepted clinical practice and is now covered by both federal and state laws. This represents a significant and advantageous change in the method of behavioral intervention.

Therefore,

Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )

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Which inequality is true?
-1
0
o <<
1
2 3
3 2
2.
<
in
01-
0-13
>
-1 >
Help pls

Which inequality is true?-10o &lt;&lt;12 33 22.&lt;in01-0-13&gt;-1 &gt;Help pls

Answers

Answer:

option a

Step-by-step explanation:

hope this helps

.............................

.............................

Answers

Answer:

1 inch = 40 miles

Step-by-step explanation:

140 ÷ 3.5 = 40

suppose that you want to investigate the factors that potentially affect cooked rice. (a) what would you use as a response variable in this experiment? how would you measure the response?

Answers

I would use weight of the rice after it has been fully cooked as a response variable.

The response variable I would use would be weight of the rice after it has been fully cooked. Different studies have depicted that when different types of rice are cooked, they absorb the water and the ingredients in which they are being cooked, and they concluded having different weights after being fully cooked. So, the suitable response variable would be the final weight of the rice after they are fully cooked. This response can be measured by comparing it to the initial weight of rice before cooking.

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what is the answer to this two-step equation 3(x-10)=-12

Answers

Answer:

x = 6

Step-by-step explanation:

To solve the two-step equation 3(x-10)=-12, we need to use inverse operations to isolate the variable x.

First, we will simplify the expression inside the parentheses by distributing the 3.

3(x-10) = -12

3x - 30 = -12

Next, we will add 30 to both sides to isolate the variable term.

3x = 18

Finally, we will divide both sides by 3 to solve for x.

x = 6

Therefore, the solution to the equation 3(x-10)=-12 is x = 6.

Divide each side by 3: x-10=-4
Add 10 to each side: x=6

The difference between six times a
number and one is seventeen

Answers

Answer:

6a - 1 = 17

Step-by-step explanation:

Difference means subtraction.

Times means multiplication.

Is means equal.

6a - 1 = 17

Best of Luck!

what is the difference between -4=7 vs 5=5

Answers

Answer:

{-4 = 7, 5 = 5} = {False, True}

Step-by-step explanation:

fine df given e(-7,-2) and f(11,3)

Answers

The distance between d and f is df = 4.795.

Given,

We are assuming e=d and df as the distance between d and f.

d(-7,-2) and f(11,3)

We need to find the distance of df.

What is the distance formula?

The distance between two points (x_1, y_1) and (x_2, y_2) is given by:

\(\sqrt{(x_{2}- x_{1} )+ (y_{2} -y_{1}) }\)

We have,

d(-7,-2) and f(11,3)

x_1 = -7

x_2 = 11

y_1 = -2

y_2 = 3

df = \(\sqrt{(11-(-7))+(3-(-2))}\)

   Removing the brackets inside the square root

   = square root ( 11 + 7) + ( 3 + 2 )

   = square root (18 + 5)

   = square root 23

The square root of 23 is 4.795.

   = 4.795

Thus the distance between d and f is df = 4.795.

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your goal is to create a college fund for your child. suppose you find a fund that offers an apr of 7 % . how much should you deposit monthly to accum

Answers

So, you need to deposit $628.86 monthly to accumulate $100,000 in 15 years with an APR of 7%.

To create a college fund for your child, you must determine the amount you need to deposit every month. The fund that offers an APR of 7% will help you accumulate the amount in the future. Here are the steps to find out how much you need to deposit monthly.
Step 1: Determine the total amount required for college funds.
The first step is to determine the total amount you need to pay for college funds. Suppose you want to create a college fund for your child that requires $100,000 in 15 years. Use a present value calculator or online present value calculator to determine the future value of the college fund.
Step 2: Determine the interest rate
The second step is to determine the interest rate you will receive on your savings. Suppose the fund offers an APR of 7%.
Step 3: Determine the number of years
The third step is to determine the number of years you have until you need the money. Suppose you have 15 years.
Step 4: Use the annuity formula
The fourth step is to use the annuity formula to determine how much you need to deposit every month. The formula is:
PMT = FV × i / ((1 + i)n - 1)
Where PMT is the monthly payment, FV is the future value, i is the interest rate, and n is the number of payments.
Using the given values:
PMT = 100,000 × 0.07 / ((1 + 0.07)^15 - 1)
PMT = 100,000 × 0.07 / 11.283
PMT = $628.86

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How many terms are there in the expression 5xy² 35xy²?

Answers

There are two terms in the given expression 5xy²+ 35xy².

What is meant by term?

Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.

What is an example of a term?

It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.

There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.

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A small box holds 20 shirts. A large box holds 165% as many shirts as than a
small box. How many shirts does the large box hold?

Answers

Answer:

33 shirts

Step-by-step explanation:

100% of 20 = 20

65% of 20 = 13

total = 33

Nine more than the product of the rate And the time

Answers

Answer:

If r = rate and t = time:  rt+9

Step-by-step explanation:

what is the same as 2/3

Answers

Answer:

4/6 and 6/9 us simlar as 2/3

4/6 and 6/9 is the same as 2/3

a golfer claims that his average golf score at the course he plays regularly is less than 90. the correct hypothesis statement for this golfer to prove his claim would be

Answers

The correct hypothesis statement for this golfer to prove his claim would be:

\(H_{0} :u\geq 90\)

\(H_{1} :u < 90\)

The golfer claims that his average score is less than 90.

Therefore, the null hypothesis is the opposite of what he claims

Null hypothesis \(H_{0}\) is average score \(u\) is greater than or equal to 90:

\(u \geq 90\)

\(H_{0} :u\geq 90\)

Alternative hypothesis \(H_{1}\) is then the opposite of null hypothesis.

Hence alternate hypothesis \(H_{1}\) is u< 90

\(H_{1} :u < 90\)

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If f(x)= x2-5 and g(x)= -3x + 2, find f(g(x))

If f(x)= x2-5 and g(x)= -3x + 2, find f(g(x))

Answers

Answer:

D. 9x² - 12x - 1

Explanation:

To find f(g(x)), we need to replace x by g(x) as follows:

f(x) = x² - 5

f(g(x)) = (g(x))² - 5

Then, g(x) is equal to -3x + 2, so replacing g(x) by (-3x + 2), we get:

f(g(x)) = (g(x))² - 5

f(g(x)) = (-3x + 2)² - 5

f(g(x)) = (-3x)² + 2(-3x)(2) + 2² - 5

f(g(x)) = 9x² - 12x + 4 - 5

f(g(x)) = 9x² - 12x - 1

Therefore, the answer is D. 9x² - 12x - 1

A triangle has two sides of length 7 and 9. What is the largest possible whole-number length for the third side?

Answers

Answer:

15

Step-by-step explanation:

the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side.

7 + 9 = 16

16 must be more than the third side

15 is the largest whole number less than 16

⚠️URGENT!!⚠️ PLEASE HELP ILL GIVE BRAINLIEST I PROMISE THE QUESTION IS ATTACHED BELOW I REALLY NEED HELP

URGENT!! PLEASE HELP ILL GIVE BRAINLIEST I PROMISE THE QUESTION IS ATTACHED BELOW I REALLY NEED HELP

Answers

Answer:

            m∠M = 116°               m∠N = 111°               m∠O = 64°               m∠P = 69°  

Step-by-step explanation:

A quadrilateral can be inscribed in a circle only if the sum of its opposite angles is equal to 180°, so:

7x - 15 + 3x + 15 = 180°      and      2(17y - 10) + 13y + 12 = 180°

     10x = 180°                                  34y - 20 + 13y + 12 = 180°

       x = 18°                                             47y = 188°

                                                                   y = 4°

m∠M:  2(17•4 - 10) = 2•58° = 116

m∠N:   7•18 - 15 =126 - 15 = 111

m∠O:   13•4 + 12 = 52 + 12 = 64  

m∠P:    3•18 + 15 = 54 + 15 = 69

The line through (-3,8) parallel to u =2x-3 meets the curve (x+3)(y-2)=8 at Aand B. Find the coordinates of the midpoint of AB

Answers

The coordinates of the midpoint of AB are (-5/2, 9).

Since the line through (-3,8) is parallel to u=2x-3, it has the same slope of 2. We can find the equation of the line passing through (-3,8) with slope 2 using point-slope form:

y - 8 = 2(x + 3)

y = 2x + 14

Now we can find the coordinates of the points A and B where this line intersects the curve (x+3)(y-2) = 8 by substituting y = 2x+14 into the equation:

(x+3)(2x+12-2) = 8

\(2x^2 + 10x - 5 = 0\)

Using the quadratic formula, we get:

\(x = (-10 + \sqrt{(160)} )/4\\x = (-5 + \sqrt{10} )/2\)

Therefore, the points A and B have x-coordinates of \((-5 + \sqrt{10} )/2\) and \((-5 - \sqrt{10} )/2\), respectively. To find the y-coordinates of A and B, we substitute these values of x into the equation y = 2x + 14:

\(y_A = 2(-5 + \sqrt{(10)} )/2 + 14 = -5 + \sqrt{(10)} + 14 = 9 + \sqrt{(10)} \\y_B = 2(-5 - \sqrt{(10)} )/2 + 14 = -5 - \sqrt{(10)} + 14 = 9 - \sqrt{(10)}\)

The midpoint of AB has coordinates

\(((-5 + \sqrt{(10)} )/2 + (-5 - \sqrt{(10)} )/2)/2 = -5/2 and (9 + \sqrt{(10)} + 9 - \sqrt{(10)} )/2 = 9.\)

Therefore, the coordinates of the midpoint of AB are (-5/2, 9).

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*WILL MARK BRAINLIEST*
Can a triangle be made from the side lengths? 4 cm, 6 cm, 9 cm

A: Yes, one triangle can be made
B: No, a triangle cannot be made

*WILL MARK BRAINLIEST*Can a triangle be made from the side lengths? 4 cm, 6 cm, 9 cmA: Yes, one triangle

Answers

b it cannot be made
A: Yes one triangle can b made

Explanation:
*WILL MARK BRAINLIEST*Can a triangle be made from the side lengths? 4 cm, 6 cm, 9 cmA: Yes, one triangle

Find the probability or percent of the event described.Of the coffee makers sold in an appliance store, 6.0% have either a faulty switch or a defective cord, 1.5% have a faulty switch, and 0.5% have both defects. What percent of the coffee makers will have a defective cord

Answers

In terms of probability, we can say that the probability of selecting a coffee maker with a defective cord is 5.0% or 0.05. The percentage of coffee makers with a defective cord.


To find the probability of a coffee maker having a defective cord, we'll use the given information about faulty switches and defective cords.

We know that:
1. 6.0% of coffee makers have either a faulty switch or a defective cord.
2. 1.5% have a faulty switch.
3. 0.5% have both defects.

Using the formula for the probability of the union of two events (A or B) - P(A ∪ B) = P(A) + P(B) - P(A ∩ B), where A represents the event of a faulty switch, B represents the event of a defective cord, and A ∩ B represents both defects:

P(A ∪ B) = 6.0% (either a faulty switch or a defective cord)
P(A) = 1.5% (faulty switch)
P(A ∩ B) = 0.5% (both defects)

We need to find P(B), the probability of a coffee maker having a defective cord.

Using the formula, we can write:
6.0% = 1.5% + P(B) - 0.5%

Now, we'll solve for P(B):
6.0% = 1.0% + P(B)
P(B) = 6.0% - 1.0%
P(B) = 5.0%

Therefore, the probability (percent) of a coffee maker having a defective cord is 5.0%.

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HELP DUE IN 30 MINS!!!!
Each soccer player has one yellow, one blue, and one white jersey. For the last game of the season, each player could choose which jersey they wanted to wear. The table below shows the percentage of players that wore each color jersey.


Jersey Color Percentage of Players
Yellow 0.47
Blue 0.18
White 0.35


Compare the probabilities of a randomly selected player wearing a certain jersey color and interpret the likelihood. Choose the statement that is true.
The player will be more likely to wear a blue jersey than a yellow jersey because P(Blue) > P(Yellow).
The player will be more likely to wear a white jersey than a yellow jersey because P(White) > P(Yellow).
The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).
The player will be equally likely to wear a yellow jersey or a white jersey because P(Yellow) = P(White).

Answers

The probability a player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue). Option C is correct.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Probabilities of wearing specific jersey colors,
Yellow 0.47

Blue 0.18

White 0.35

So,
P(Yellow)> P(White) > P(Blue).

It implies that, from the options, the player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).

Thus, option C is correct.

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Answer: C: The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).

Step-by-step explanation:

Work out the value of x and the value of y in the simultaneous equations below. 4x + 7y = 40 - 4x + 4y = 4​

Answers

The solution for the simultaneous of equations 4x + 7y = 40 and 4x + 4y = 4 by elimination are x = -11, y = 12

How to evaluate for the solutions of the equations by elimination

we shall write the equations as:

4x + 7y = 40...(1)

4x + 4y = 4...(2)

subtract equation (2) from (1) to eliminate x

4x + 7y - 4x - 4y = 40 - 4

3y = 36

divide through by 3

y = 12

put the value 12 for y in equation (1) to get

4x + 7(12) = 40

4x + 84 = 40

4x = 40 - 84 {subtract 84 from both sides}

4x = -44

divide through by 4;

x = -11

Therefore, the solution for the simultaneous of equations 4x + 7y = 40 and 4x + 4y = 4 by elimination are x = -11, y = 12

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(15−4i)(6−3i)=a+bi



In the equation above, a and b are real numbers and i=−1‾‾‾√. What is the value of a?

a=

Answers

Answer:

14

Step-by-step explanation:

15 -4=11

6-3=3

then a minus ND minus it makes a plus the 11+3=14

The answer is
a = 15 + 6
= 21

margot is sewing a ribbon on a seam along the perimeter of a square pillow. the side length of the pillow is 2x2 1 inches. she plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. what expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x

Answers

The length of the ribbon can be expressed as (2x + 2x + 2) inches, and its value depends on the value of x.

Let's start by calculating the length of ribbon needed for the first pillow. The side length of the square pillow is given as 2x + 2 inches. Since the ribbon is sewn along the perimeter, the length of the ribbon needed is equal to the perimeter of the pillow. The perimeter of a square is calculated by adding up the lengths of all four sides. In this case, the perimeter is 2x + 2 + 2x + 2 + 2x + 2 + 2x + 2, which simplifies to 8x + 8 inches.

For the second pillow, the side length is given as 4x - 7 inches. Using the same logic, we can calculate the length of ribbon needed as the perimeter of the second pillow, which is 4x - 7 + 4x - 7 + 4x - 7 + 4x - 7. Simplifying this expression gives us 16x - 28 inches.

To find an expression that represents the length of ribbon needed for both pillows, we can set up a proportion based on the ratio of their side lengths. We have (2x + 2) / (4x - 7) = (8x + 8) / (16x - 28). We can solve this proportion to find the value of x, and then substitute it back into either expression to find the length of ribbon needed.

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Performance task: A parade route must start And and at the intersections shown on the map. The city requires that the total distance of the route cannot exceed 3 miles. A propos route is shown.

Part A: Why does the proposed route not meet the requirement?

Part B: Assuming that the roads used for the
route are the same and the end point is the same,
at what intersection could the parade start so the
total distance is as close to 3 miles as possible?

Part C: The city wants to station video cameras halfway down each road in the parade. Using your answer to Part B, what are the coordinates of locations for the cameras?

Performance task: A parade route must start And and at the intersections shown on the map. The city requires

Answers

Answer:

Part A: The proposed route does not meet requirement because it is longer than the maximum required length of 3 miles

Part B: For the total distance is as close to 3 miles as possible, the start point of the parade should be at the point on Broadway with coordinates (9.941, 4.970)

Part C: The coordinates of the cameras stationed half way down each road are;

For central avenue; (4, 2)

For Broadway; (7.97, 2.49)

Step-by-step explanation:

Part A: The length of the given route can be found using the equation for the distance, l, between coordinate points as follows;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

Where for the Broadway potion of the parade route, we have;

(x₁, y₁) = (12, 3)

(x₂, y₂) = (6, 0)

\(l_1 = \sqrt{\left (0 -3\right )^{2}+\left (6-12 \right )^{2}} = 3 \cdot \sqrt{5}\)

For the Central Avenue potion of the parade route, we have;

(x₁, y₁) = (6, 0)

(x₂, y₂) = (2, 4)

\(l_2 = \sqrt{\left (4 -0\right )^{2}+\left (2-6 \right )^{2}} = 4 \cdot \sqrt{2}\)

Therefore, the total length of the parade route =-3·√5 + 4·√2 = 12.265 unit

The scale of the drawing is 1 unit = 0.25 miles

Therefore;

The actual length of the initial parade =0.25×12.265 unit = 3.09 miles

The proposed route does not meet requirement because it is longer than the maximum required length of 3 miles

Part B:

For an actual length of 3 miles, the length on the scale drawing should be given as follows;

1 unit = 0.25 miles

0.25 miles = 1 unit

1 mile =  1 unit/(0.25) = 4 units

3 miles = 3 × 4 units = 12 units

With the same end point and route, we have;

\(l_1 = \sqrt{\left (0 -y\right )^{2}+\left (6-x \right )^{2}} = 12 - 4 \cdot \sqrt{2}\)

y² + (6 - x)² = 176 - 96·√2

y² = 176 - 96·√2 - (6 - x)²............(1)

Also, the gradient of l₁ = (3 - 0)/(12 - 6) = 1/2

Which gives;

y/x = 1/2

y = x/2 ..............................(2)

Equating equation (1) to (2) gives;

176 - 96·√2 - (6 - x)² = (x/2)²

176 - 96·√2 - (6 - x)² - (x/2)²= 0

176 - 96·√2 - (1.25·x²- 12·x+36) = 0

Solving using a graphing calculator, gives;

(x - 9.941)(x + 0.341) = 0

Therefore;

x ≈ 9.941 or x = -0.341

Since l₁ is required to be 12 - 4·√2, we have and positive, we have;

x ≈ 9.941 and y = x/2 ≈ 9.941/2 = 4.97

Therefore, the start point of the parade should be the point (9.941, 4.970) on Broadway so that the total distance is as close to 3 miles as possible

Part C: The coordinates of the cameras stationed half way down each road are;

For central avenue;

Camera location = ((6 + 2)/2, (4 + 0)/2) = (4, 2)

For Broadway;

Camera location = ((6 + 9.941)/2, (0 + 4.970)/2) = (7.97, 2.49).

This exercise is necessary to use the given map information and then make the distance between points, in this way we find that:

A)The proposed route does not meet requirement because it is longer than the maximum required length of 3 miles.

B) Broadway and Cedar Street

C) \(Central \ Avenue(4, 2)Broadway (7.97, 2.49)\)

So from the distance between points and the informed map we have:

A) The equation for the distance, as follows:

\(l=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

Where for the Broadway potion of the parade route, we have:

\((x_1,y_1)=(12,3)\\(x_2,y_2)=(6,0)\)

Applying the values ​​in the formula given above, we have:

\(l_1=\sqrt{(0-3)^2+(6-12)^2}=3\sqrt{5}\)

For the Central Avenue potion of the parade route, we have:

\((x_1, y_1) = (6, 0)(x_2, y_2) = (2, 4)\)

Applying the values ​​in the formula given above, we have:

\(l_2=\sqrt{(4-0)^2+(2-6)^2}=4\sqrt{2}\)

Therefore, the total length of the parade route:

\(3\sqrt{5} + 4\sqrt{2} = 12.265 \\0.25*12.265 unit = 3.09\ miles\)

B) The two streets that are the same distance apart are the streets: Broadway and Cedar Street.

C) The coordinates of the cameras stationed half way down each road are:

For Central Avenue:

\(Camera \ location = ((6 + 2)/2, (4 + 0)/2) = (4, 2)\)

For Broadway:

\(Camera\ location = ((6 + 9.941)/2, (0 + 4.970)/2) = (7.97, 2.49)\)

See more about distance at brainly.com/question/989117

Select the correct answer.
Consider these functions:
f(x) = 4x³ - 10
g(x) = 3x - 4/2
What is the value of g(f2))?

Answers

Answer:

3x - 4/2

Step-by-step explanation:

2 result(s) for "f(x) = 4x³ - 10 g(x)

[In this question the unit vectors i and j are due east and due north respectively.] A coastguard station O monitors the movements of a small boat. At 10:00 the boat is at the point ( 4i−2j) km relative to O. At 12:45 the boat is at the point ( −3i−5j) km relative to O. The motion of the boat is modelled as that of a particle moving in a straight line at a constant speed. Calculate the speed of the boat, giving your answer in kmh−1 (3 marks)​

Answers

The speed of the boat is approximately 9.21 km/h.

How to solve

In order to ascertain the speed of the boat, we must find out the number of kilometers traversed by it and the amount of time taken for traveling that distance.

The traveled distance by the boat is equal to the space between two points,

or the magnitude of (final position vector - initial position vector),

which in this case is (-7i - 3j). Hence, the total distance of sqrt((-7)^2 + (-3)^2) kilometers is obtained.

Regarding the amount of time taken to travel that predetermined distance, it computes to be 2 hours 45 minutes, or 2.75 hours.

Therefore, through simple division, the speed of the boat can be determined at roughly 9.21 km/h, which results when you divide the traveled distance of sqrt(58) by the time taken in hours, that is, 2.75.

Read more about speed here:

https://brainly.com/question/13943409

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