Write the equation of the line of reflection between the points (-9, 12) and (17, -78) in point-slope form

Answers

Answer 1

The equation of the line of reflection is y = (−13 / 45)x − (1376 / 45) in point-slope form.

Equations

To find the equation of the line of reflection between the points (-9, 12) and (17, -78), we first need to find the midpoint of the line segment joining these two points, which will lie on the line of reflection. The midpoint formula is:

[(x₁ + x₂) / 2, (y₁ + y₂) / 2]

Using the coordinates of the two given points, we get:

[(−9 + 17) / 2, (12 − 78) / 2] = [4, −33]

So, the midpoint is (4, −33).

Next, we need to find the slope of the line of reflection. This is equal to the negative reciprocal of the slope of the line passing through the two given points, since the line of reflection is perpendicular to this line. The slope of the line passing through the two given points is

m = (y₂ − y₁) / (x₂ − x₁) = (−78 − 12) / (17 − (−9)) = −90 / 26 = −45 / 13

So, the slope of the line of reflection is:

m' = −1 / m = −13 / 45

Finally, we can use the point-slope form of the equation of a line, with the midpoint we found as the point and the slope we calculated as the slope which is

y − (−33) = (−13 / 45)(x − 4)

y + 33 = (−13 / 45)x + (52 / 45)

y = (−13 / 45)x − (1376 / 45)

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Related Questions

Please help! I will give brainliest!

Answers

Answer:

it's going to be c

Step-by-step explanation:

set a is an exponential function and the values increase at a faster rate than set B

I need help with this so I can pass my Algebra 1 class

Answers

Solutions for he inequalities are as follows;

9. n ≤ -6 10. a ≥ 15 11. p ≥ -17 12. v < 4

13. The slope is 1 14. The slope is 0.83

15. The slope is 0.22 16. the slope is 0.32

How do you solve the following inequalities?

The solution to the following inequalities is as follows;

9. -26 ≥ 5n + 4 10. -116 ≥ 4 - 8a

5n + 4 ≤ -26 4 - 8a ≤ -116

5n ≤ -26 - 4 - 8a ≤ -116 - 4 ⇒ - 8a ≤ -120

5n ≤ -30 multiply both side by -1

Divide both sides by 5 8a ≥ 120 ⇒ a ≥ 15

n ≤ -6

11. 61 ≥ -3p + 10 12. -18 < -7v + 10

-3p + 10 ≤ 61 -7v + 10 > -18

-3p ≤ 61 - 10 -7v > -18 -10

-3p ≤ 51 -7v > -28

Divide both sides by -3 v < 4

p ≥ -17

13 To find the slope between two points (x1, y1) and (x2, y2), we use the formula: Slope = (y2 - y1) / (x2 - x1)

some of the coordinates for graph 13 are (-1, 0) (0, 1) (-2, -1) (1, 2)

When we input the values into the coordinates, its becomes

Slope between (-1, 0) and (0, 1):

Slope = (1 - 0) / (0 - (-1)) = 1 / 1 = 1

Slope between (0, 1) and (-2, -1):

Slope = (-1 - 1) / (-2 - 0) = -2 / -2 = 1

the slope for all pairs of coordinates is 1.

14. (-2, 0) (-3, -1), (3, 4)

Slope between (0, 1.5) and (-3, -1):

Slope = (-1 - 1.5) / (-3 - 0) = -2.5 / -3 ≈ 0.83

Slope between (-3, -1) and (3, 4):

Slope = (4 - (-1)) / (3 - (-3)) = 5 / 6 ≈ 0.83

15. Find the slope of the line through each pair of points

(12, -9) (-15, -15)

Using the formula Slope = (y2 - y1) / (x2 - x1), we input the values to be

Slope = (-15 - (-9)) / (-15 - 12)

= 0.22

16. (-11, -15) (11, -8)

Slope = (y2 - y1) / (x2 - x1)

For the given coordinates:

Slope between (-11, -15) and (11, -8):

Slope = (-8 - (-15)) / (11 - (-11)) = 0.32

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A couple of two-way radios were purchased from different stores. Two-way radio A can reach 6 miles in any direction. Two-way radio B can reach 12.88 kilometers in any direction.

Part A: How many square miles does two-way radio A cover? Use 3.14 for π and round to the nearest whole number. Show every step of your work. (3 points)

Part B: How many square kilometers does two-way radio B cover? Use 3.14 for π and round to the nearest whole number. Show every step of your work. (3 points)

Part C: If 1 mile = 1.61 kilometers, which two-way radio covers the larger area? Show every step of your work. (3 points)

Part D: Using the radius of each circle, determine the scale factor relationship between the radio coverages. (3 points)

Answers

A. Two-way radio A covers 113 square miles.

B. Rounded to the nearest whole number, two-way radio B covers 523 square kilometers.

C. Comparing the areas, we can see that radio B covers the larger area with 523 square kilometers.

D. The coverage area of radio B is approximately 1.33 times larger than the coverage area of radio A.

What is radius?

Radius is a term used in geometry to describe the distance from the center of a circle or sphere to any point on its circumference or surface, respectively. It is usually denoted by the letter "r" and is measured in units of length, such as inches, centimeters, or meters. The radius of a circle is half of its diameter, while the radius of a sphere is one-half of its diameter.

Part A:

The area covered by two-way radio A can be calculated using the formula for the area of a circle:

Area = π x radius²

Radius of radio A = 6 miles

Area = 3.14 x 6²

Area = 113.04 square miles

Rounded to the nearest whole number, two-way radio A covers 113 square miles.

Part B:

The area covered by two-way radio B can also be calculated using the same formula:

Area = π x radius²

Radius of radio B = 12.88 kilometers

Area = 3.14 x (12.88)²

Area = 523.14 square kilometers

Rounded to the nearest whole number, two-way radio B covers 523 square kilometers.

Part C:

To compare the areas covered by the two-way radios, we need to convert the area covered by radio A from square miles to square kilometers, using the conversion factor given:

1 mile = 1.61 kilometers

Therefore, 1 square mile = (1.61)² square kilometers

Area covered by radio A = 113 square miles

Area covered by radio A in square kilometers = 113 x (1.61)²

Area covered by radio A in square kilometers = 290.22 square kilometers

Comparing the areas, we can see that radio B covers the larger area with 523 square kilometers.

Part D:

To determine the scale factor relationship between the radio coverages, we can divide the radius of radio B by the radius of radio A:

Scale factor = radius of radio B / radius of radio A

Scale factor = 12.88 kilometers / 6 miles

Scale factor = 12.88 kilometers / 9.66 kilometers (since 1 mile = 1.61 kilometers)

Scale factor = 1.33

This means that the coverage area of radio B is approximately 1.33 times larger than the coverage area of radio A.

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Audrey spent two weeks in Brazil. This is twice as many days as she spent in Bolivia. How days did Audrey spend in these countries

Answers

the total number of days spent in Bolivia by Audrey is 7days.

Audrey spent two weeks in Brazil

that mean

the total number of days spent in Brazil by Audrey = 2x7

= 14 days

This is twice as many days as she spent in Bolivia.

2m = 14

m = 14/2

m = 7

so, the total number of days spent in Bolivia by Audrey = 7days

The term "week" most commonly refers to any span of seven continuous days. The term "week" is also frequently used to describe the seven-day period that runs from Sunday through Saturday (though in some places this may be different, with the week considered to begin on Monday, for example)

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What is the sum of the fractions? Use the number line to help find the answer.

Three-fifths + (Negative StartFraction 7 over 5 EndFraction

Answers

Answer is - 4 over 5

A gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. If you reach into the bag at random, what is the probability that you select a tennis ball?

Answers

8/19 or 42.1%

add all values up to a total, then find the percentage from that total.

8 + 2 + 1 + 3 + 5 = 19 balls total

8 tennis valls to 19 total.

8/19 or 42.1%

a regression coefficient of .26 has a standard error of .04. what should the researcher do? group of answer choices do not reject the null hypothesis reject the null hypothesis

Answers

The researcher will analyse its p-value and then will comment on its null hypothesis that it will be rejected or accepted.

Given is that the regression coefficient = 0.26

standard error = 0.4

The estimated standard deviation of the measurement error is the standard error of a coefficient estimate. Additionally, the standard error of the mean at X is the term used to describe the standard error of the projected height of the regression line for a particular value of X.

Finding the relationship between changes in the independent variables and changes in the dependent variable is the main goal of regression analysis. These changes are described by coefficients, and p-values reveal whether or not these coefficients are substantially different from zero.

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The table below shows information about the distance walked by hikers
A) work out the minimum number of hikers that could walk between 8 miles and 18 miles
B) work out the maximum number of hikers that could walk between 8 miles and 18 miles

Answers

Therefore, the maximum number of hikers that could walk between 8 and 18 miles is 3.

What is cumulative frequency?

Cumulative frequency is a statistical concept that represents the total number of observations or data points that fall below or equal to a certain value in a dataset. It is calculated by adding up the frequencies of all values up to and including the current value. The resulting values can be used to construct cumulative frequency tables and graphs, which are useful in visualizing the distribution and pattern of data.

Here,

Since the data is grouped into intervals, we can use the cumulative frequency to find the minimum and maximum number of hikers.

a) To find the minimum number of hikers that could walk between 8 and 18 miles, we need to find the cumulative frequency of hikers who walked up to 8 miles and subtract it from the cumulative frequency of hikers who walked up to 18 miles.

Cumulative frequency of hikers up to 8 miles = 2

Cumulative frequency of hikers up to 18 miles = 7

Minimum number of hikers that could walk between 8 and 18 miles = Cumulative frequency up to 18 miles - Cumulative frequency up to 8 miles = 7 - 2 = 5

b) To find the maximum number of hikers that could walk between 8 and 18 miles, we need to subtract the cumulative frequency of hikers who walked up to 18 miles from the total number of hikers.

Total number of hikers = 10

Cumulative frequency of hikers up to 18 miles = 7

Maximum number of hikers that could walk between 8 and 18 miles = Total number of hikers - Cumulative frequency up to 18 miles = 10 - 7 = 3

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What’s the area??

BTW THE ANSWER IS NOT 78

Answers

Answer:

She shaded area?

12 x 10 = 120

6 x 7 = 42

42 divided by 2 = 21

Now we subtract both areas:

120 - 21 = 99 of the shaded region.

Answer:

Step-by-step explanation:

7 * 6 is 42 then divide by 2 = 21

12 * 10 is 120

120 - 21 = 99

how can confidence intervals help researchers attain their purpose of using a sample to understand a population?

Answers

The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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Factor: -12n - 20 they are asking for an expression

Answers

Answer:

-4(3n+5)

Step-by-step explanation:

Factored -4 out of -12n-20. Let me know if this answers the question!

A regular octagon has a radius of 6 ft and a side length of 4. 6 ft. A regular octagon has a radius of 6 feet and side lengths of 4. 6 feet. What is the approximate area of the octagon? 71 ft2 101 ft2 110 ft2 202 ft2.

Answers

The regular octagon has eight equal sides. Then the area of the regular octagon of side length be 4.6 is 102 ft².

What is a regular octagon?

It is a polygon that has eight equal sides. In a regular octagon, the opposite sides are parallel. And its diagonals are also equal and intersect at mid-point.

Given

A regular octagon has a radius of 6 ft and a side length of 4.6 ft.

We know the formula for the regular octagon.

Area of the regular octagon = 2(1 + $\sqrt{2}$) a²

Where a be the side of a regular octagon.

Then the area of the regular octagon will be.

$\rm Area = 2 (1+\sqrt{2} ) a^2\\\\Area = 2*(1 + 1.414) *4.6^2\\\\Area = 2 * (2.414)* 21.16\\\\Area = 102.16$

Thus, the area of the regular octagon of side length be 4.6 is 102 ft².

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PLS HELP 50 POINTS

The figure shows Triangle ABC and some of its transformed images on a coordinate grid:

Which of the four triangles was formed by a translation of Triangle ABC?

1

2

3

4

Answers

triangle 4 is formed by q translation of thr triangle ABC

a solid has 4 faces and 4 vertices how many edges does it have

Answers

Answer:

This is a triangular pyramid so 6 egdes

Step-by-step explanation:

describe the relationship between quartiles and percentiles.

Answers

hello! quartiles divide data into fourths, and percentiles divide data into hundredths! hope this helps! ;)

What is the perimeterABC is shown on the grid.9 +27 unitsB11490 9+27 units9+ I units9+VT units

Answers

We have three points that represent the vertices of the triangle

- A( -1, 5 )

- B( 4, 5 )

- C( -1, 1 )

We need to calculate the distances between the points to calculate the perimeter

To calculate the distances we must use the next equation

$d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance for AB:

$\begin{gathered} d_1=\sqrt[]{(4-(-1))^2+(5-5)^2} \\ d_1=\sqrt[]{5^2+0^2}=\sqrt[]{5^2}=5 \end{gathered}$

Distance for BC:

$\begin{gathered} d_2=\sqrt[]{(-1-4)^2+(1-5)^2} \\ d_2=\sqrt[]{(-5)^2+(-4)^2}=\sqrt[]{41} \end{gathered}$

Distance for AC:

$\begin{gathered} d_3=\sqrt[]{(-1-(-1))^2+(1-5)^2} \\ d_3=\sqrt[]{0^2+(-4)^2}=\sqrt[]{16}=4 \end{gathered}$

Finally, the perimeter is

$\begin{gathered} S=d_1+d_2+d_3 \\ S=5+\sqrt[]{41}+4 \\ S=9+\sqrt[]{41} \end{gathered}$

So, the answer is

$9+\sqrt[]{41}\text{ units}$

Is parallelogram BCDE a rectangle?

Answers

No, all lines should be equal considering that rectangles have 4 of the same right angles

Find the slope of the line

Answers

Answer:

3/2

Step-by-step explanation:

Using two points we can find the slope of a line

(0,1) and (2,4)

The slope is given by

m= (y2-y1)/( x2-x1)

= (4-1)/(2-0)

= 3/2

Use the triangle to help you
calculate the missing variable
How far in meters will you
travel in 3 minutes running
at a rate of 6 m/s?
Hint: 3 min = 180 sec
Answer:
Make sure you include units
t
d
t

Answers

How far you can travel is 1080 meters

How to determine how far you will travel

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

Time = 3 minutes

Rate = 6m/s

The distance can be calculated using

Distance = Rate * Time

Substitute the known values in the above equation, so, we have the following representation

Distance = 3 minutes * 6m/s

Evaluate the product

Distance = 1080 meters

Hence, the distance is 1080 meters

Answers

Answer:

A. to use algebraic methods to solve geometric problems

Step-by-step explanation:

Answer:

to use algebraic methods to solve geometric problems

Step-by-step explanation:

I put the same number of chocolate buttons on each of seven cakes. I had 40 buttons at the start and now have five buttons left over. How many did I put on each cake?

Answers

Answer:

5 buttons on each cake

Step-by-step explanation:

40 - 5 = 35

35 / 7 = 5

Please help me find the answer

Answers

X=42 we can see here that the triangle was displayed by the scale factor 2. That would mean you do 49x2 which equals 98. 98-14=84 84/2=42 x=42 is your answer

Zero Property: (-10 + 10) divided by 17 =

Answers

$(-10+10)/17$

Zero divided by any real number is equal to zero.

$(-10+10)/17=$$0/17=0$

What’s the scale factor?
20:4
4:1
16:1
64:1

Answers

Answer:

Step-by-step explanation:

4:1

The first pyramids height is 20
The pyramids equivalents height is 5
20 divided by 5 is 4
So the scale is 4:1

Explain how to make this an expression
176.3- 15.75

Answers

Answer:

I have that same question on my extra credit!

Step-by-step explanation:

I know the answer its 160.55 but I don't know what i should do for the problem. This is my questions:

Mina asked four friends to explain how each one solved the expression . Here are their explanations Please comment if these are the same:

Ivy’s explanation: I lined up the numbers to subtract.

176.3

- 15.75

18.8

Hannah’s explanation: I lined up the two decimals according to place value. I put a 0 in the hundredths place to make it easier for me to subtract.

176.30

- 15.75_

161.45

Jose’s explanation: I lined up the two decimals according to place value.

176.3

- 15.75

161.45

An’s explanation: I counted up from 15.75 to 176.3 to find the difference. I underlined each number I added on each line.

15.75 + 0.25 = 16

16 + 4 = 20

20 + 150 = 170

170 + 6 = 176

176 + 0.3 = 176.3

I rearranged the underlined numbers to make them easier to add: .

150 + 6 + 3 + 0.25 = 163.25

Explain each student’s mistake and solve the problem correctly.

Show your work.

Help please i will give brainliest

Answers

Answer:

Step-by-step explanation:

To find how many 1/3 cm length cubes fill the prism, we first need to find the volume, which is equal to

length * width * height = 1 cm * (2 + 2/3) cm * (2/3) cm

= 1 cm * (6/3 + 2/3) cm * (2/3) cm

= 1 cm * (8/3) cm * (2/3) cm

= (8/3) cm ² * (2/3) cm

= (16/9) cm³

Therefore, the volume is 16/9 cm³.

Next, one cube with side lengths of 1/3 has a volume of ((1/3) cm)³ = (1/27)³

We thus need to find how many of 1/27 goes into 16/9

If we multiply 16/9 by 1=3/3 (as 9*3=27), we can equalize the bases, making 16/9 = 48/27

All that's left is to figure out how many times 1/27 goes into 48/27, which is equal to (48/27)/(1/27) = 48

Question 15 1 pts A pair of standard 6-sided number cubes are rolled. Rank the following outcomes from most likely to least likely. • X = rolling a 2 . Y = rolling a 7 . Z = rolling a 10 OZ.XY OZ.Y.X OY,Z,X O Y.X, Z

Answers

Ranking from most likely to least likely: OY.X,Z, OY,Z,X, OZ.Y.X, OZ.XY. Rolling a 7 is more likely than rolling a 2 or 10, while rolling a 10 is less likely overall.

In this case, rolling a pair of standard 6-sided number cubes means that each cube has six possible outcomes (numbers 1 to 6). Let's analyze the outcomes:

1. OZ.XY: This outcome represents rolling a 10 first and then rolling a 2. Since the maximum possible sum of two dice is 12 (6+6), rolling a 10 is less likely than rolling a 2. Therefore, OZ.XY is the least likely outcome.

2. OZ.Y.X: This outcome represents rolling a 10 first, followed by rolling a 7. Similarly to the previous case, rolling a 10 is less likely than rolling a 7. Therefore, OZ.Y.X is the second least likely outcome.

3. OY,Z,X: This outcome represents rolling a 7 first, then rolling a 10, and finally rolling a 2. Rolling a 7 is more likely than rolling a 10 or a 2 since there are multiple ways to obtain a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1). Therefore, OY,Z,X is the second most likely outcome.

4. OY.X,Z: This outcome represents rolling a 7 first, then rolling a 2, and finally rolling a 10. Similar to the previous case, rolling a 7 is more likely than rolling a 2 or a 10. Therefore, OY.X,Z is the most likely outcome.

So, the ranking from most likely to least likely is as follows:

1. OY.X,Z

2. OY,Z,X

3. OZ.Y.X

4. OZ.XY

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in a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. simulation a will consist of 1,500 trials with a sample size of 100. simulation b will consist of 2,000 trials with a sample size of 50.

Answers

The sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.

What is sampling distribution ?

An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population.

It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.

Given,

Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325.

Simulation A will consist of 1500 trials with a sample size of 100.

Simulation B will consist of 2000 trials with a sample size of 50.

Center for Simulation A and Simulation B will be roughly equal.

Overall Sample size of Simulation A will be

= 1500 * 100 = 150000

Overall Sample size of Simulation B will be

= 2000 * 50 = 100000

Hence, the sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.

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The complete question is -

In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

Can anyone help with this please

Answers

Answer:

Step-by-step explanation:

B is correct. Only positive equation with y int at 2

Answer:

Step-by-step explanation:

What is the graph for y=2x+2?

There are 2 ways to do this problem. The easier method is to set x as two random numbers, and find y for both of the situations. Then, you will find that, for example,

When x = 0, y = 2 and when x = -1, y = 0. The only graph that has these two points is b, so that is the answer.

However, there is a more reliable way to do this.

First, let's go over what slope is. Slope is the "m" in y=mx+b and can be found by doing "rise over run". In other words, it represents how steep the line is/how fast it rises. If there is a negative slope, the graph moves down, like in c or d. If there is a positive slope, the line moves up, like in a or b.

We need to find a graph that has a slope of two (for every x, y rises by 2 [like if x=1, y=2, or when x=2, y=4, etc.). This only leaves option b as an answer.

for a positive integer nn, let p(n)p(n) denote the (base 1010) product of the digits of the base-55 expansion of nn. for example, p(24)

Answers

The expression p(n) represents the product of the digits of the base-55 expansion of a positive integer n.

To find p(n), we need to first convert the positive integer n into its base-55 representation.

Let's take an example to understand this better. Suppose we want to find p(24).

Step 1: Convert 24 into base-55 representation.
To convert a number into a different base, we need to divide the number by the base repeatedly and keep track of the remainders.

24 ÷ 55 = 0 with a remainder of 24

Since the quotient is 0, we stop here. The remainder, 24, represents the rightmost digit of the base-55 representation of 24.

Therefore, 24 in base-55 is simply 24.

Step 2: Calculate p(24).
To find p(24), we need to multiply the digits of the base-55 representation of 24.

In this case, there is only one digit, 24. So, p(24) = 2 * 4 = 8.

Therefore, p(24) = 8.

In general, to find p(n), follow these steps:
1. Convert n into its base-55 representation.
2. Multiply all the digits of the base-55 representation of n.
3. The product obtained is p(n).

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In June 2018, a poll asked a random sample of 1000 us adults wether global warning will be serious problem for the United States . The results show that 51% think global warming will be a very serious problem, 27% think it will be a somewhat serious problem, and 21% think it will not be a serious problem A refrigeration cycle operating between two reservoirs receives energy Qc from a cold reservoir at Tc -2C and rejects energy Oxto a hot reservoir at Th - 42. For each of the following cases, determine whether the cycle operates reversibly, operates irreversibly, or is impossibleQc = 1,000 kJ, Wcycle = 80 kJ, The 'Indian Foreign Service' is included under ________ After World War One during the making of the Treaty of Versailles, was Germany only made up of its colonies or was there more to it than them? what is 15% of 60? please help me Can someone read this and please tell me whats the conflict a quote from the story that best describes the conflict. indicate whether it is internal or external. which example best illustrates a past-talk conversation? Which is a zero of the function f(x)= x^ - 3x - 4a) -4b) -1c) 0d) 1 kevin has a ratio of 2 wrong answers to 7 correct answers on his math test. If he got 6 questions ewrong then how many did he answr correctly Holly attended a conference at 11:30 A.M. The conference ended at 1:05 P.M. How long does the conference last Problem 4) Joe has $1,000,000 invested an account that earns 7.0 percent compounded monthly. He plans to withdraw $10,000 per month. How many months can he withdraw the $10,000? Assume a zero balance in the account at the end of the period.m : 12Rate : 7,00%Nper : ?Pmt : $10,000PV : $1,000,000FV : 50.00 Suppose you deposited $400 in a savings account 3 years ago. The simple interest rate is 3.3%. Theinterest that you earned in those 3 years is $39.60. Which of the following is/are true?1 = 3r=3.3%p = 400t = 39.60Help me please At what point in time must an insured meet the coinsurance requirement in a property insurance policy in order to avoid having to pay a portion of the loss What is the median for the following observations 5 8 6 9 11 4? evaluate the integral. 0 2 (4t i t^3 j + 2t^3 dt How do you define weight on Earth?the amount of gravitational force between the object and Earththe amount of matter in the object sitting on Earth's surfacethe mass of the object plus the mass of Earththe push or pull that causes the object to move, stop or change direction A bacteria culture grows with a constant relative growth rate. After 2 hours there are 600 bacteria and after 8 hours the count is 75,000.(a) Find the initial population.P(0)= 120 bacteria(b) Find an expression for the population after thours.P(0)=1200.54931 x(c) Find the number of cells after 3 hours. (Round your answer to the nearest integer.)P(3) = 1341 x bacteria(d) Find the rate of growth after 3 hours. (Round your answer to the nearest integer.)P13) = 737 x bacteria/hour(e) When will the population reach 200,000? (Round your answer to one decimal place.)t=_______ hours Where are all the littles kids she asked herself. Whats the corrected sentence? Net Income $1,200 ($500) $2,300 Net Cash Flows $500 $300 $2,800 Dividends $200 $0 $200 Issuance of Stock $2,000 $0 $0 The above amounts represent totals from the first three years of operations. Calculate the balance of Retained Earnings at the end of 2018.