Miguel is posting photos on a school website. He has 48 photos, and he is allowed to use 12 pages. He wants to put the same number of photos, p, on each page.

1.) 48p = 12
2.) 12 + p = 48
3.) 12p = 48
4.) 48 = p - 12

Answers

Answer 1

Answer:

The answer is 3.)

Step-by-step explanation:

Answer 2

Answer:

3. 12p = 48

Step-by-step explanation:

Start with 12p = 48

Your goal is to find the number of photos, p, that can go on each page. To do this, you need to isolate p (in other words, get p by itself)

Divide both sides by 12 and you end up with:

p = 4


Related Questions

A race car driver completes 30 laps and 15 minutes at a constant speed. What is the drivers speed?

Answers

Answer:

60 mph

Step-by-step explanation:

It takes two minutes to drive one mile at  30  mph. You are planning on covering two total miles. If your average speed is  60 mph, it would take two minutes to cover these two miles. So you have to go 60 mph.

Hope This Helps :)

The driver's speed is 30 miles per hour.

One mile is approximately 4 laps so 30 laps would be:

= 30 / 4

= 7.5 miles

The driver drove 7.5 miles in 15 minutes.

15 minutes in hours is:

= 15 / 60

= 0.25 hours

The speed of the driver is therefore:

= 7.5 miles / 0.25 hours

= 30 mph

The driver was therefore driving at a speed of 30 mph

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use distributive property to rewrite this problem: -2(n-7)

Answers

Answer: -2n + 14

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

the temperatures at midday on march 1st in five cities are shown in the bar chart below. What is the difference in temperature between rome and munich?

Answers

The difference in temperature between Rome and Munich is given as follows:

6ºC.

How to obtain the difference in temperatures?

The difference in temperature between Rome and Munich is given by the subtraction of Rome's temperature by Munich's temperature.

The bar graph in the context of this problem gives the temperature for each town.

From the bar graph given by the image presented at the end of the answer, the temperatures for Rome and Munich are given as follows:

Rome: 11 ºC.Munich: 5 ºC.

Hence the difference in temperature between Rome and Munich is given as follows:

11 - 5 = 6ºC.

Missing Information

The graph is given by the image presented at the end of the answer.

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the temperatures at midday on march 1st in five cities are shown in the bar chart below. What is the

please help, i inserted the photo below and i need the answer asap

please help, i inserted the photo below and i need the answer asap

Answers

By proportion formula and Pythagorean theorem, the length of line segment AB is equal to 8 units.

How to determine the length of a missing side in a system of similar triangles

Herein we find a geometric system formed by two similar right triangles, then we can determine the length of side BD by following proportion formula:

BD / AD = CD / BD

BD² = AD · CD

BD = √(AD · CD)

And the length of the line segment AB can be determined by Pythagorean theorem:

AB = √(BD² + AD²)

If we know that AD = 4 and CD = 12, then the length of the line segment AB is:

BD = √(4 · 12)

BD = √48

BD = 4√3

AB = √[(4√3)² + 4²]

AB = 8

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(04.03 LC)
What is the slope of the line that passes through (1, 4) and (1, -3)?

Answers

Step-by-step explanation:

here,

x1,y1=1,4

x2,y2=1,-3

Now,

slope =y2-y1/x2-x1

=-3-4/1-1

-7/0

=o

Examine the following typical corporate bond listing:

In the name column, NYTel is the abbreviated name of the company (New York Telephone) issuing the bond. What was the closing price of the bond? What was the dollar amount? (See attachments)

a. 101 3/4; $101,750
b. 7 1/4; $7250
c. 101 3/4; $1017.50
d. 107 1/4; $1072.50

Examine the following typical corporate bond listing:In the name column, NYTel is the abbreviated name
Examine the following typical corporate bond listing:In the name column, NYTel is the abbreviated name

Answers

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

Examine the following typical corporate bond listing:In the name column, NYTel is the abbreviated name

What is an equation of the line that passes through the points (3, 4) and (4, 6)?

Answers

Answer:

____________

y = 2x - 2

____________

I think this is correct

here's it plotted

What is an equation of the line that passes through the points (3, 4) and (4, 6)?

Answer

y = 2x - 2

Step-by-step explanation

Algebra questions.

if x=3 then 2x3-2=4

So if it WAS 3 then Y would be 4

The population of a city increases by 0.5% per year. If this year's population is 374,000, what will next year's population be, to the nearest individual?

Answers

Answer: the answer is actually 375870

Step-by-step explanation:

The population of the city in the next year will be 375870.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the population of a city increases by 0.5% per year. If this year's population is 374,000.

The population of the city next year will be calculated as,

Population  = 374000 x 1.005

Population = 375870

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Solve the two-step equation.

3
4
(x) − 1.72 = −6.82

1. The first step is to
✔ add 1.72
on both sides.
2. The second step is to
on both sides.


The solution is x =
.

Answers

Answer:

\(\boxed{\sf{x=-0.15}}\)

Step-by-step explanation:

Isolate the term of x from one side of the equation.

34(x)-1.72=-6.82

Rewrite the problem down.

⇒ 34x-1.72=-6.82

First, add by 1.72 from both sides.

⇒ 34x-1.72+1.72=-6.82+1.72

Solve.

⇒ -6.82+1.72=-5.1

Rewrite the problem down.

⇒ 34x=-5.1

Divide by 34 from both sides.

⇒34x/34=-5.1/34

Solve.

Divide the numbers from left to right.

⇒ -5.1/34=-0.15

⇒ x=-0.15

Therefore, the solution is x=-0.15, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Here is the correct answer is this

Step-by-step explanation:

Solve the two-step equation.34(x) 1.72 = 6.821. The first step is to add 1.72 on both sides.2. The second

Which function has a minimum of -4?
A. y = (x - 5)² – 4
B. y = -(x-4)² - 5
C. y = (x-4)² +5
D. y = -(x - 5)² + 4

Answers

I think it is c but I’m not sure

Find the midpoint of the line segment with the endpoints A and B.
A(4.8): B(10,2)

Answers

Answer:

The midpoint is ( 7,5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinate of the endpoints and divide by 2

( 4+10)/2 = 14/2 = 7

To find the y coordinate of the midpoint, add the y coordinate of the endpoints and divide by 2

(8+2)/2 = 10/2 = 5

The midpoint is ( 7,5)

Model Real Life Hardee County is a rectangular county in Florida with an area of 637 square miles. What is the width of Hardee County?

Answers

The width of the rectangular Hardee County, considering it's area, is given as follows:

21.23 miles.

How to obtain the area of a rectangle?

The area of a rectangle of length l and width w is obtained by the multiplication of these dimensions, as follows:

Area = length x width.

For the rectangular Hardee County, the parameters are given as follows:

The area is of 637 square miles.The length is of 30 miles, as shown by the image given at the end of the answer.The width is to be discovered.

Considering the area and the length, the width is obtained as follows:

Area = length x width

30w = 637

w = 637/30

w = 21.23 miles.

(the area is in miles squared, hence both dimensions are in miles).

Missing Information

The problem is shown by the image at the end of the answer.

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Model Real Life Hardee County is a rectangular county in Florida with an area of 637 square miles. What

a recipe uses 3 cups of milk to make one bowl of pudding how many bowls of pudding could be made by using 6 quarts of milk?

Answers

To solve this, we'll use two rules of three

The firts one will be to convert the quarts into cups:

Thereby,

\(x=6\times4\rightarrow x=24\)

6 quarts are 24 cups

The second one will be to know how many bowls of pudding we can make out of 24 cups of milk (6 quarts)

This way,

\(y=\frac{24\times1}{3}\rightarrow y=8\)

We can make 8 bowls of pudding out of 6 quarts of milk

a recipe uses 3 cups of milk to make one bowl of pudding how many bowls of pudding could be made by using
a recipe uses 3 cups of milk to make one bowl of pudding how many bowls of pudding could be made by using

Find all points having an​ x-coordinate of 2 whose distance from the point (-2,-4) is 5

Answers

The two points with an x-coordinate of 2 and a distance of 5 from (-2, -4) are: (2, -4 + 2√13) and (2, -4 - 2√13)

What is distance formula?

Distance is a measurement of how far away two things or locations are, either numerically or occasionally qualitatively.

Distance formula: \(distance = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)

We can solve this problem using the distance formula, which gives us the distance between two points in a plane:

\(distance = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)

Let (x, y) be a point with an x-coordinate of 2. Then we can write the distance from (-2, -4) to (x, y) as:

\(distance = \sqrt{((x - (-2))^2 + (y - (-4))^2)}\)

Simplifying this expression, we get:

\(distance = \sqrt{((x + 2)^2 + (y + 4)^2)}\)

We know that the distance between (-2, -4) and (x, y) is 5. Therefore, we can write:

\(\sqrt{((x + 2)^2 + (y + 4)^2)} = 5\)

Squaring both sides, we get:

\((x + 2)^2 + (y + 4)^2 = 25\)

Expanding the left side, we get:

\(x^2 + 4x + 4 + y^2 + 8y + 16 = 25\)

Simplifying this expression, we get:

\(x^2 + 4x + y^2 + 8y - 5 = 0\)

To find all points with an x-coordinate of 2 that satisfy this equation, we can substitute x = 2 and simplify the resulting equation:

\(2^2 + 4(2) + y^2 + 8y - 5 = 0\)

Simplifying this equation, we get:

\(y^2 + 8y + 3 = 0\)

We can solve this quadratic equation using the quadratic formula:

y = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 8, and c = 3.

Plugging in these values, we get:

y = (-8 ± sqrt(8^2 - 4(1)(3))) / 2(1)

Simplifying this expression, we get:

y = (-8 ± √52) / 2

y = (-8 ± 2√13) / 2

y = -4 ± √13

Therefore, the two points with an x-coordinate of 2 and a distance of 5 from (-2, -4) are: (2, -4 + 2√13) and (2, -4 - 2√13)

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test tym ten był gdy HD en​

Answers

Answer:

test tym ten był gdy HD en...wdym?

A cone has a height of 6 inches and a radius of 7 inches. What is the volume? Keep your answer in terms of pi.

Answers

Answer:

V≈307.88in³

Step-by-step explanation:

V=πr2h

3=π·72·6

3≈307.87608in³

Answer:

\(98\pi\)

Step-by-step explanation:

The formula of the volume of a cone is given by \(V=\frac{\pi r^2h}{3}\), which, applying the values yields \(V=\frac{\pi 7^26}{3} = 98\pi\)

precalculus problem need help

precalculus problem need help

Answers

1. <C= 90 degree

AC =  13.25 unit

<B= 60 degree

2.  <C= 90 degree

AC =  13.

<B= 60 degree

1. Using Sine law

sin C/4 = sin 30/2 = sin B/ AC

so, sin C/4 = 1/4

sin C = 1

C= 90 degree

and, <B= 180 - 30- 90= 60 degree

So, sin 30/2 = sin 60/ AC

1/4 AC = √3/2

AC = 2√3

2. Using Sine law

sin 30/ 7.65 = sin B / 15.3

1/15.3 = sin B/15.3

sin B= 1

B = 90 degree

and, <C= 180 - 90 - 30 = 60

So, 1/15.3 = sin 60/ C

C = 13.25

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Can anyone help me with this question please?

Can anyone help me with this question please?

Answers

‍‍‍Answer : -0.65

:)

Find each side length and the area of the following rectangle if the perimeter is 40cm, one side is (2x + 5) cm and the adjacent side is (x + 3).

Find each side length and the area of the following rectangle if the perimeter is 40cm, one side is (2x

Answers

given ,

One side is 2x + 5 (length) and the other side is x+3 (breadth/width)

Also perimeter of it is 40cm

We know that , perimeter of rectangle is given by the formula , 2 ( l + b)

Now ,

=> 2 ( 2x+5 + x + 3) = 40cm

=> 2(3x + 8) = 40

=> 6x + 16 = 40

=> 6x = 40-16

=> 6x = 24

=> x = 24/6

=> x = 4

Now ,

One side , length = 2x + 5 = 2(4)+5 = 8+5 = 13 ,

And other side , breadth = x + 3 = 4 + 3 = 7

What is the value of x?
O 20
(x + 40)
(3x)
R
O 35
w
O 60
S
070

What is the value of x?O 20(x + 40)(3x)RO 35wO 60S070

Answers

Answer:

Hello! answer: 20

Step-by-step explanation:

These are vertical angles meaning they will have the same measure so... 20 + 40 = 60 20 × 3 = 60 therefore x = 20 hope that helps!

In the given scenario, the value of x is 20. The correct option is A.

What is parallelogram?

A parallelogram is a quadrilateral with two pairs of parallel sides. This means that opposite sides of a parallelogram are parallel and congruent, and opposite angles are congruent as well.

To find the value of x in the given diagram, we need to use the fact that the opposite sides of a parallelogram are equal in length.

Therefore, we can set the expressions for the opposite sides equal to each other and solve for x:

x + 40 = 3x

Simplifying the equation, we get:

40 = 2x

Dividing both sides by 2, we get:

x = 20

Therefore, the value of x is 20.

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High school students from grades 9–10 and 11–12 were asked to choose the kind of band to have play at a school dance: rap, rock, or country. Their choices were as follows: Grades 9–10: Rap 35; Rock: 25; Country: 60 Grades 11–12: Rap: 55; Rock: 30; Country: 40 Which of the following is a correct two-way frequency table for the data?

Answers

The appropriate two-way frequency table for the time will like the following:

               

                              RAP      ROCK     COUNTRY     TOTAL

Grades 9-10           40           30            55                  125

Grades 11-12         60           25            35                  120

TOTAL                    100          55            90                  245

The sum of the column total and the row total is equal.

125 + 120 = 100 + 55 + 90

245 = 245

30 POINTS! PLEASEHELP

30 POINTS! PLEASEHELP

Answers

Answer:

Required length is 13 feet

Step-by-step explanation:

\({ \rm{length = \sqrt{ {12}^{2} + {5}^{2} } }} \\ \\ { \rm{length = \sqrt{144 + 25} }} \\ \\ { \rm{length = \sqrt{169} }} \\ \\ { \rm{length = 13 \: feet}}\)

If my dot plot is not skewed or symmetrical which measure of variability should I use? (15 data points) PLEASE HELP THE ASSIGNMENT IS DUE TONIGHT!
these are the data points: 5,6,7,7,7,8,8,9,9,9,9,9,10,10,11
I also need the best measure of center!

Answers

If the data is not skewed, then the mean is the best measure of center.

This then also includes the standard deviation because the standard deviation relies on the mean.

To get the mean, add up the data values:

5+6+7+7+7+8+8+9+9+9+9+9+10+10+11 = 124

Then divide by the sample size n = 15

124/n = 124/15 = 8.267 approximately

Once you determine the mean, you can then determine the standard deviation which involves a bit more complicated steps. The rough outline is:

Subtract each data value from the mean. So right off the bat, we can see how important the mean is when it comes to calculating the standard deviation.Square those differences from step one.Add up the squares to get the Sum of the Squared Errors (SSE)Divide the SSE by n-1 to get the sample variance, or divide by n to get the population variance. It will depend on context which version you go for.Apply the square root to the variance to get the standard deviation.

Once again, step 1 shows how critical the mean is to finding the standard deviation. The standard deviation measures how far each value is from the mean on average. In other words, it's like a measure of the average distance from the mean.

Use of spreadsheet software is strongly recommended to keep track of everything. You can also use a standard calculator to compute the standard deviation. There are also tons of free online calculators that can help out with that as well.

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

If the data was skewed to one side, then the median is the better measure of center because it is not affected by outliers. The IQR (interquartile range) is used instead of the standard deviation for skewed distributions.

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Hi please help on question.If you get answer correct is be willing to give brainliest,a thanks, five stars and 10pts.



My question:

As an analogy of a circuit with resistance, think of an obstacle race . Which parts of a circuit do the obstacles represent? which part of the circuit do the people respresent?

Answers

The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:

Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.

Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.

People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.

The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.

Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

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What is the slope of the equation of a line that passes through the point
(10, 4) and has a y-intercept of -4?

Answers

Answer:

y = 0.8x – 4

or

y = 4 /5x- 4

Step-by-step explanation:

the slope is 4/5 or 0.8 either one work :)

Can someone plz help me

Can someone plz help me

Answers

Answer:

15 days. 5 divided by 1/3 is 15

Please help me I'm not sure on this one.

Please help me I'm not sure on this one.

Answers

Answer:

  (a)  The y-intercept of Function A is greater

Step-by-step explanation:

The grid is not large enough to let you plot the points of Function A, but you can estimate where they might go.

The first point, (-9, -13), is off the bottom at the left side of the graph. It will be 3 units below the bottom line (-10) at the vertical x=-9. It is approximately (exactly) coincident with the graphed red line.

The second point, (6, 12), is off the top of the graph at the vertical x=6. That point is clearly above the red line.

These two points of Function A are sufficient to give you the idea that Function A is above Function B in the area of this graph.

Function A will have a greater y-intercept.

__

If you want to compute the y-intercept for Function A, you can start by computing the slope of the line. From the slope formula, we have ...

  m = (y2 -y1)/(x2 -x1)

  m = (12 -(-13))/(6 -(-9)) = 25/15 = 5/3

Then the y-intercept can be found from ...

  b = y1 -m·x1

  b = (-13) -(5/3)(-9) = -13 +15 = 2

The y-intercept for Function A is (0, 2), which is greater than the y-intercept of (0, -1) that Function B has.

Mike rode his bike 600 miles and he carried a spare tire on the trip. To provide equal wear on all 3 tires, he changed his tires while traveling. How many miles of wear did each tire accumulate?

Answers

Answer:

200 miles per tire

Step-by-step explanation:

To find the distance of how much each tire traveled, we can divide.

600 / 3 = 200 miles per tire

Best of Luck!

Step-by-step explanation:

Click here

Thanks guys

Mwhehe

find three positive numbers whose sum is 114 such that the sum of their squares is as small as possible. separate the numbers with commas.

Answers

The three positive numbers 72, 30, and 12 make up the total of 114.An object that can be counted, measured, or given a name is a number. The numbers, for instance, are 1, 2, 56, etc.

Suppose the three positive numbers are x, y and z.

If the summation of numbers is 114.

⇒ x + y + z = 114 --- (1)

⇒ z = 114 - x - y

Suppose the square sum of the number be S.

∴ S = x² + y² + z²

⇒ S = x²+ y² + (114 - x - y) ² --- (2)

To obtain the minimal value of S, we will optimize the function by partly differentiating it with respect to x and y and setting ds/dx = 0.

2x + 2(114- x - y) (-1) = 0

2x - 228 + 2x + 2y = 0

4x + 2y - 228 = 0

y = 114 - 2x --- (3)

Differentiate partially with respect to y as

2y + 2(114 - x - y) (-1) = 0

2y - 228 + 2x + 2y = 0

4y + 2x - 228 = 0

x = 228 - 2y --- (4)

Substitute the value of y = 114 - 2x in the equation (4),

x = 12 - 2(114 - 2x)

x = 12 - 228 + 4x

4x - x = 228 - 12

3x = 216

⇒ x = 72

By substituting x = 72 in equation (3)

y =2(72) - 114

y = 144 - 114

⇒ y = 30

Substitute the values of x and y in equation (1),

72 + (30) + z = 114

z = -72+114-30

z= 12

Thus, the three positive numbers whose sum is 114 will be 72, 30, and 12.

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What is the equation of the line that passes through the point (1,3) and has a slope
of -1?

Answers

Answer:

y = -x + 4

Step-by-step explanation:

to find the equation of a straight line with the slope and a pair of coordinates given the equation is

y - y1 = m(x - x1)

where x is the slope

x1 and y1 are the coordinates given

By substitution,

y - 3 = -1(x -1)

y - 3 = - x + 1

y = - x + 1 +3

y = -x + 4

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Which of the following accurately describes ionic bonds?O A. Atoms share one or more protons.O B. Atoms transfer one or more electrons.O C. Atoms share one or more electrons.O D. Atoms transfer one or more protons. What elements of Christianity drew new followers to the religion? At the start of every shift, mark, a delivery truck driver, plans out his route based on the addresses that he will be visiting to drop off packages. This can best be described as what kind of decision?. Solve this problem and I will give u brainlst. Which of the follow shows the factors that contribute to land degradation in the order in which they most often occur? I. Erosion II. Deforestation III. Desertification IV. Land overuse for agriculture PLEASE HELP ASAP! Will mark brainliest if correct! This is the last question :( Do you like:A. Wings of FireB. Warrior CatsC. I have no clue what those areD. BothE. Neither at what rotation rate, in revolutions per second, will the astronaut experience a centripetal acceleration of 17.0g Your geographic location is a major factor in determining the ____________ used to calculate your automobile insurance premiums. In a graph, x represents the number of months since a business opened, and y represents the total amount of money the business has earned. The following three points are from the graph:(2, 1990) (5, 4225) (9, 7205)Find the slope and y-intercept. Explain what each represents. foday, the stock price of Genevo Co. (based in 5 witzeriand) is priced at SF 65 per share. The spot rate of the 5 wiss franc (SF) is $0.60, During the next year, yot axpect that the stock price of Genevo Co. Will rise by 4%. You also expect that the Swiss franc will depreciate against the U.S. dollar by 10% during the next jear. You own American depository receipts (ADRs) that represent Genevo stock. Each share that you own represents one share of the stock traded on the Swiss stock exchange. What is the estimated value of the ADR per share in 1 year? Do not round intermediate calculations. Round your answer to the nearest What does the text say about ancient women and power? Responses They had political influence. They had political influence. Women only held military power. Women only held military power. Women held many different types of power. Women held many different types of power. They never held power of any kind. They never held power of any kind. Question 2 Part B - Points depend on a correct response in Part A. Which line from the text best supports the answer in Part A? Responses "'Because that space is particularly male-dominated, power and men become equated.'" "'Because that space is particularly male-dominated, power and men become equated.'" "'What makes sense to us as power isn't always what power is to people in other times and places.'" "'What makes sense to us as power isn't always what power is to people in other times and places.'" "'While influence is a form of power, it's not the same as direct control and authority over others.'" "'While influence is a form of power, it's not the same as direct control and authority over others.'" "'All too often, power is often wrongly attributed to just the public, political sphere.'" "'All too often, power is often wrongly attributed to just the public, political sphere.'" Skip to navigation This new system will need to rely on BLANK technology so it can analyze extensive documentation to identify and rate the relevance of verbiage specific to health insurance compliance concerns.A. NLPB. CBRC. Forward chainingD. Backward chaining Basic design elements include (Check 7)What are the 3 properties of color? Immersive Readerdepth, shade, fragrancevalue, hue, depthsaturation, hue, chromahue, value, intensity an electron has a velocity of direction. what is the magnetic force (magnitude and direction) exerted on the electron? PromptSelect a formal and informal group to which you belong. Compare the different ways both an expressive leader and aninstrumental leader would help in achieving each group's goals. the gasb sets accounting standards for all of the following except: multiple choice state and local governments. private not-for-profit hospitals. component units owned or controlled by governments. governmentally related not-for-profit universities. p varies directly with T and p+10^5 when T=400.when T=500,p= A hill slopes at an angle of 12.5 with the horizontal. From the base of the hill, the angle of inclination of a 459 foot tower at the topof the hill is 36. How much rope would be required to reach from the top of the tower to the bottom of the hill (round to the nearestinteger)?A)188 feetB)424 feetC)665 feetD)1124 feet We often communicate interpersonal interest with our nonverbal behaviors, but rarely communicate disinterest with nonverbal behaviors.