Angles related to a circle. Solve for x.

Angles Related To A Circle. Solve For X.

Answers

Answer 1

The value of x from the given circle is 12

Circle theorem

Angle at the vertex of the circle is half the angle at its intercepted arc.

From the given circle;

The measure of <DEF = 80/2 = 4x -8

Equate both angles

4x - 8 = 80/2

Add 8 to both sides

4x - 8 + 8 = 40 + 8

4x = 48

x =12

Hence the value of x from the given circle is 12

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Related Questions

anybody can help me?

Answers

Its the first one, because x wont be affected, and 1 and -3 is a constant.

2/3 ÷ -2/5 pls answer the question​

Answers

Answer:

[tex]-1\frac{2}{3}[/tex]

Step-by-step explanation:

2/3 ÷ -2/5.

Flip -2/5 to -5/2 so that it can be multiplied.

2/3 × -5/2 = -10/6.

Reduce.

-10/6 reduced is -5/3.

Extract the whole number from this fraction to make it a mixed number.

-5/3 is equal to -1 2/3

Hope this helps!

We can do the inverse, where division basically becomes multiplication. You just flip the denominator and numerator (lower and upper part of the division sign).

[tex]\frac{2}{3} *-\frac{5}{2}[/tex]
The negative stays even when you inverse it. Make sure on future problems you inverse whats being divided, which in this case was -2/5.

We can now multiply across and get:
[tex]- \frac{10}{6}[/tex] as 2•5=10, 3•-2=-6. Therefore -10/6.

Which can be simplified into [tex]-1 \frac{2}{3}[/tex]. This is because 10 goes into 6 once leaving 4. That makes it -1 4/6, but 4/6 can be reduced by a common factor, 2. So just divide 4 and 6 by 2, which is 2/3. So thats why it is -1 2/3.


Brainliest would really help me out, if you have any questions message me

A relation is given below.

{(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)}

Which ordered pair can be removed to make this relation a function?


Why would removing this ordered pair make the relation a function?

Answers

Answer:

(4,1), (4,2) pairs can be removed to make relation a function.

Step-by-step explanation:

Function states the relationship of ordered pairs where set A must have unique elements.

comeplete the following :
Rx0 Do2 : (2,4) -> (-4, 8) (4, -8) (-4, -8)

Answers

Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)

What is a transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation is the movement of a point either up, down, left or right on the coordinate plane.

Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)

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Constructing Parallel Lines
Use the slope of the given line to construct a parallel line
through point P. Click or tap the graph to plot another point on
the parallel line.
Try it
Correct!
-2
y
2
What is the slope of the original line?
What is the equation of the line that is parallel to the
given line and passes through the given point?

Answers

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the lines is -1, and the equation of the parallel line is y-x-6.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The parallel line passes through the points (-4,-2) and (-3,-3). Therefore, the slope of the line is,

Slope = (-2 + 3) / (-4 + 3) = 1/-1 = -1

The equation of the parallel line that is passing through point P is,

y = mx + c

y = -x + c

-3 = -(-3) + c

-3 -3 = c

c = -6

Hence, the slope of the lines is -1, and the equation of the parallel line is y-x-6.

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Answer:

-1

 y + 3 = -1 (x+3)

b,b               `

Step-by-step explanation:

compute 1 + 2 + 3 +....+ 99 + 100 + 99 + 98 +...+ 3 + 2 + 1

Answers

Answer:

10000

Step-by-step explanation:

When computing a consecutive sum of integers with a difference of 1.

Use gauss's formula of (n/2)(first number + last number).

with n being the # of integers.

Since it is ascending and descending, it can be broken down into 2 sequences:

1 + 2 + 3 + ... + 99 and 1 + 2 + 3 + ... + 100.

Once each is calculated, add them up to find the value.

So:

1 + 2 + 3 + ... + 99 = (99/2)(100) = 4950.

1 + 2 + 3 + ... + 100 = (100/2)(101) = 5050.

4950 + 5050 = 10000

Fred is playing tennis. For every 2 of his serves that land in, 4 serves land out. If he hit 22 serves in, how many serves landed out?

Answers

Answer: 44

Step-by-step explanation:

1:2 is the ratio that serves lands in and serves land out

22:44

Answer 44

Explanation:The ratio is 2:4 so essentially the amount outs is equivalent to double the amount of servers landed so you would multiply 22 times 2 and get 44 for outs

WILL GIVE ALL POiNTS IF ANSWERED CORRECTLY SOON! LIKE 30 MINS PLS
Given w = −168i −160j, what are the magnitude and direction of −4w? Round the answers to the nearest whole number.
232; 224°
232; 44°
928; 224°
928; 44°

Answers

Answer:

Magnitude and Direction is 928 and 44

Step-by-step explanation:

For a Vector w = (x)i+(y)j

The Magnitude of w [tex]=\sqrt{x^{2} +y^{2} }[/tex]

and the Direction of w [tex]=tan^{-1}(\frac{y}{x} )[/tex]

So for our Question , w = - 168i - 160j

Then -4w = -4 (- 168i - 160j) = (-4*-168)i +(-4*-160)j = 672i + 640j

Then the Magnitude of -4w = [tex]\sqrt{672^{2} +640^{2} } =928[/tex]

and the Direction of -4w = [tex]tan^{-1}(\frac{640}{672} )=tan^{-1}(\frac{20}{21} )=44[/tex] ( to the nearest whole number)

Hope it Helps:)

75. Real-World Applications
A cell phone company offers two plans for minutes. Plan A: $20 per month and $1 for every one hundred texts. Plan B: $50 per month with free unlimited texts. How many texts would you need to send per month for plan B to save you money?

Answers

Answer:

t =amount of texts

a. 0.01t+20=y

b. 50=y

so that means that they equal each other

0.01t+20=50

-20

0.01t=30

t=3001

Hope This Helps!!!

Answer:

For plan B to save money cell phone user need to send 3000 texts per month as [tex]\frac{x}{y}[/tex] expresses the average texts sent per month by cell phone user and its obtained value is 3000.

Step-by-step explanation:

In the question it is given that a cell phone company offers two plans for minutes.

Plan A: $20 per month and $1 for every one hundred texts.

Plan B: $50 per month with free unlimited texts.

It is required to find that how many texts would be needed to send per month for plan B to save money. be needed to send per month for plan B to save money.

Step 1 of 5

In Plan A $20 per month and $1 for every one hundred texts are costed so the cost of Plan A is given by following equation,

[tex]$A=20 y+\frac{x}{100}$[/tex]

In Plan B $50 per month with free unlimited texts are costed so the cost of Plan B is given by following equation,

[tex]$$B=50 y$$[/tex]

Step 2 of 5

Now comparing the obtained equations [tex]$A=20 y+\frac{x}{100}$[/tex]

and B=50y.

[tex]$20 y+\frac{x}{100}=50 y$$[/tex]

Step 3 of 5

Subtract 20y from both the sides of the obtained equation [tex]$20 y+\frac{x}{100}=50 y$[/tex] and simplify using subtraction properties.

[tex]$$\begin{aligned}&20 y+\frac{x}{100}-20 y=50 y-20 y \\&\frac{x}{100}=30 y\end{aligned}$$[/tex]

Step 4 of 5

Multiply both the sides of the obtained equation [tex]$\frac{x}{100}=30 y$[/tex] by 100 and simplify using multiplication properties.

[tex]$$\begin{aligned}&\frac{x}{100} \cdot 100=30 y .100 \\&x=3000 y\end{aligned}$$[/tex]

Step 5 of 5

Divide both the sides of the obtained equation x=3000y by y and simplify using division properties.

[tex]$$\begin{aligned}&\frac{x}{y}=\frac{3000 y}{y} \\&\frac{x}{y}=3000\end{aligned}$$[/tex]

As [tex]$\frac{x}{y}$[/tex] expresses the average texts sent per month by cell phone user. So, for plan B to save money cell phone user need to send 3000 texts per month.

(3, -1) and (5, 4) arrowRight (2, 3) and (4, 5) arrowRight (-5, 7) and (8, 5) arrowRight (-2, 4) and (3, -1)

Answers

This question is incomplete. Below you can find the missing content.

Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth. 7.07 units 5.1 units 2 units 2.83 units 5.39 units 13.15 units 12.5 units

(3, -1) and (5, 4)

(2, 3) and (4, 5)

(-5, 7) and (8, 5)

(-2, 4) and (3, -1)

The distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.

The distance between two points can be calculated by the formula given below

Distance between two points (x1,y1), (x2,y2)= d= √(x2-x1)²+(y2-y1)²

where (x1,y1) and (y1,y2) are the coordinates of the points.

The distance between the points which is of coordinates (3, -1) and (5, 4)

d= √(5-3)²+(4-(-1))²= √4+25= √29= 5.39 units

The distance between the points which is of coordinates (2, 3) and (4, 5)

d= √(4-2)²+(5-3)²= √4+4= √8= 2.83 units

The distance between the points which is of coordinates (-5, 7) and (8, 5)

d= √(8-(-5))²+(5-7)²= √169+4= √173= 13.15 units

The distance between the points which is of coordinates (-2, 4) and (3, -1)

d= √(3-(-2))²+(-1-4)²= √25+25= √50= 7.07 units

Therefore the distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.

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Triangles T S R and Q R S overlap at point P. Angle S T R is 66 degrees and angle S Q R is 66 degrees. The lengths of T S and Q R are both 5 inches.

Can ΔTSR and ΔQRS be proven congruent by SAS?
yes, because along with the given information on the diagram, SR ≅ RS by the reflexive property
yes, because a reflection will map ΔTSR onto ΔQRS
yes, because P appears to be the midpoint of SQ and TR
no, because not enough is information given to prove the triangles congruent by SAS

Answers

No,  ΔTSR and ΔQRS cannot be proven congruent by SAS because not enough is information given to prove the triangles congruent by SAS.

What is Congruency?

Two figures or objects are congruent if they have the same shape and size.

To prove using SAS congruency we should have at least two congruent side and one congruent angle.

But we don't have the sufficient information.

Hence, ΔTSR and ΔQRS cannot be proven congruent by SAS.

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Answer:

d

Step-by-step explanation:

Ms. wilkinson's fifth-grade class is running a canned food drive. the students filled two boxes of food. there are thirty 300-gram cans of soup in one box. there are eighteen 400-gram cans of vegetables in the other box. how many kilograms of food did the students collect in all?

Answers

Answer:

16.2 kilograms

Step-by-step explanation:

30 300-gram cans = 9000 grams of soup

18 400-gram cans = 7200 grams of vegetables

9000 + 7200 = 16200 grams

1000 grams = 1 kilogram

16200 / 1000 = 16.2 kilograms

The total amount of food students collect in kilograms will be equal to 16.2 kilograms food.

What is algebra ?

Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.

The number of cans of soup in one box = 30 cans

And each can has 300 grams of soup.

So , the total amount of soup in one box is :

= 30 × 300

= 9000 grams of soup

Now , in the other box there are 18 cans of vegetables and each can has 400 grams of vegetable.

So , the total amount of vegetable in the other box is :

= 18 × 400

= 7200 grams

Total food students collect is :

= 9000 grams soup + 7200 grams vegetables

= 16200 grams food

We know that :

1000 grams = 1 kilogram

So , converting grams into kilograms we get :

16200 / 1000 = 16.2 kilograms food

Therefore , the total amount of food students collect in kilograms will be equal to 16.2 kilograms food.

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Show work how you know it’s a function or not a function for each problem. PLEASE SOMEONE HELP ME OUT

Answers

Answer: Function, not a function, Function, not a function

Step-by-step explanation:

For it to be a function, each value of x has to map onto one value of y.

This is a function.Not a function since x=-1 has more than one y value.This is a functionNot a function since x=-6 has more than one y value.

How many two digit numbers have on add digit and one even digit?

Answers

Answer:

40 two-digit numbers have one odd digit and one even digit in them.

A rock outcrop was found to have 78.88% of its parent u-238 isotope remaining. approximate the age of the outcrop. the half-life of u-238 is 4.5 billion years old.

Answers

Answer:

Answer:1.5*10^9 years

Step-by-step explanation:

The half life of the substance is given i.e 4.5B years. You can change it into seconds by multiplying it with 365 and 86400.

The current no of particles is given 78.88% which will be equal to 78.88 if you assume the substance had 100 no of particle initially.

Determine the decay constant by dividing 0.69 by half life

use these values in the equation for the answer.

[ln and e are inverse functions to eachother]

Ximena answered 72 questions correctly on her multiple choice history final and
earned a grade of 36%. How many total questions were on the final exam?

Answers

Answer:

200

Step-by-step explanation:

72---->36%

x------> 100%

72×100

7200÷36=200

To check, let do it the other way round. 200×0.36=72.

There was total 200 multiple choice history question in Ximena's exam.

What is the definition of the percentage?A percentage is a fraction of a whole conveyed as a number ranging from 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide this same portion of the total by the total and multiply by 100.

For the given question,

Total questions answered by the Ximena is 72.

The total percentage was 36%.

Let 'x' be the total number of the questions.

Then,

36% of x = 72

36x /100 = 72

x = 7200/36

x = 200

Thus, there was total 200 multiple choice history question in Ximena's exam.

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A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.

Answers

Answer:

1st option

Step-by-step explanation:

since one pair of opposite sides 10 in , then

x + 2 = 10 ( subtract 2 from both sides )

x = 8

Then

x + 5 = 8 + 5 = 13 in

2x - 5 = 2(8) - 5 = 16 - 5 = 13 in

The opposite sides of a parallelogram are parallel and congruent.

So the quadrilateral could be a parallelogram

Answer: A) Yes, one pair of opposite sides could measure

10 in., and the other pair could measure 13 in.

Step-by-step explanation:

just did it on edu 2023

7. Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = m x, with m > 1.

Answers

The transformation from f(x) to g(x) is a vertical stretch by a factor of m

How to determine the transformation?

The functions are given as:

f(x) = x

g(x) = mx

Substitute f(x) = x in g(x) = mx

g(x) = mf(x)

From the question, we understand that:

m > 1

This means that;

The transformation from f(x) to g(x) is a vertical stretch by a factor of m

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Write the domain and range of h using interval notation.

Answers

Domain:[-2,4)

Range:[-3,3)

on a piece of paper graph y>-x+2 then determine which answer choice matches the graph you drew

Answers

The answer that matches the information in the graph is zero x = -2.

How to illustrate the graph?

The zeros of a function are the point on which graph intersects the x axis or we can say the value of x when y = 0.

Substitute y = 0 in the provided equation.

0 = x + 2

x = -2

The coordinate is (-2,0). Also the zero of the graph is at x = -2 because it follows the definition of zeros.

Now substitute x = 0 in the provided equation.

y = 0 + 2

y = 2

The coordinate is (0,2).

Hence, the answer that matches the information is zero x = -2.

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Which expression is equivalent to sin (pi/12)cos(7pi/12) -cos(pi/12)sin(7pi/12) ?

Answers

Answer:

-1

Step-by-step explanation:

We see the given expression is equal to sin(pi/12 - 7pi/12), which is equal to sin(-pi/2), or just -1.

Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h. A. h(8) = 21 B. h(-3) = -1 C. h(13) = 18 D. h(2) = 16

Answers

A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2.

1.) h(8) = 21

Since the value of h(8) is 19. This can not be the correct option.

2.) h(-3) = -1

Since the range is from 1 to 25. Therefore, this is not the correct option.

3.) h(13) = 18

Since the domain is from -3 to 11. Therefore, this is not the correct option.

4.) h(2) = 16

This is the only option that is feasible. Thus, this is the correct option.

Hence, the correct option is D.

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The difference in the height of the two rectangles is 7 feet.

One rectangle has a height of 6.2 feet and another has a height of y feet.

What is the value of y?

Answers

Answer:

y = 13.2ft

Step-by-step explanation:

This is a bit of trial and error.

We know that the height of one rectangle is 6.2ft, which means we cannot subtract 7 from 6.2 to find the height of the other rectangle as it will give us a negative value and it will not make sense.

Therefore the height of the other rectangle has to be 7ft higher.

y = 6.2 + 7 = 13.2ft

Consider the diagram.

Triangles B A E and C A D are connected at point A. Angle B A E is a right angle. Sides B A and A C are congruent. Sides B E and C D are congruent.

The congruence theorem that can be used to prove △BAE ≅ △CAD is
SSS.
ASA.
SAS.
HL.

Answers

The congruence theorem that proves that △BAE ≅ △CAD is: HL.

What is the HL Congruence Theorem?

The HL congruence theorem states that, if the hypotenuse and one leg of a right triangle is congruent to the hypotenuse and a corresponding leg of another right triangle, then they are congruent triangles.

△BAE and △CAD have:

Congruent hypotenuses: BE ≅ CD.

Congruent legs: BA ≅ CA

Therefore, the congruence theorem that proves they are congruent is: HL.

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Answer: Option 4 or D. HL

Step-by-step explanation:

Use the graph below to answer the following question:
O 0
0 1
b
4
-3 -2
3
2
W
12
54
What is the average rate of change from x = 0 to x = 4? (6 points)
2 3

Answers

Answer: 0

Step-by-step explanation:

When x=0, y=4.

When x=4, y=4.

So, the rate of change is 0.

4 quick algebra 1 questions for 50 points!

Only answer if you know the answer, shout-out to subtomex0, tysm for the help!

Answers

Question 5True2x²+3x-2=0x=-2 x=0.5

Question 6

[tex]c(g) = 7g + 52 \\ c(0) = 52[/tex]

Option C

Question 2

[tex]g(x) = x {}^{2} - 7x + 12 \\ g(x) = 0 \\ x = 3 \: \: \: \: \: \: \: \: x = 4[/tex]

Option D

Question 1Option C

Let's see

#1

y=2x²+3x-2y=2x²+4x-x-2y=(x+2)(2x-1)

So

x intercepts

(-2,0) and (1/2,0)

True

#2

y=7g+52y=7(0)=52y=52

Option C

#3

x²-7x+12=0x²-4x-3x+12=0x(x-4)-3(x-4)=0(x-3)(x-4)=0

x={3,4}

Option D

#4

I solved it in your another question , Can't add that answer here due to copyright restrictions

help me you gonna be my hero

Answers

Answer:

The second graph

Step-by-step explanation:

Well you're given the equation in slope-intercept form, which looks like: y=mx+b, where m is the slope, and b is the y-intercept. This is because the y-intercept is when x=0, so mx will becomes 0, thus leaving b alone, and making it the y-intercept. m is the slope because as x increases by 1, the y-value goes up by m, so the "rise" is m and the "run" is 1. The definition of the slope is rise/run so the slope would be m/1 or just m.

So let's analyze the equation: y=25x+40. the slope will be 25, and the y-intercept will be 40 (this is important for easily filtering very obviously wrong answer). So the linear equation will intersect the y-axis at (0, 40). Only one of the graphs intersects the y-axis at (0, 40) which is the second graph.

PLEASE HELP ME
Whats the circumstances of a circle with a radius of 2 inches? use 3.14 for pi

Answers

Answer:

12.56 Inches

Step-by-step explanation:

1. The formula to find the circumference is 2 * Pi * r

2. Using this formula we get 2 * 3.14 * 2 = 12.56

3. The radius is in inches so our final answer will also be in inches.

Answer:

The Circumference of the circle would be 12.56 inches

Step-by-step explanation:

All you have to do is multiply the radius by 2 the multiply by pi (3.14)

Use the formula and you will get that the circumference is 12.56

Hope this helped! :D

What is the area of this trapezoid? Enter your answer in the box.

Answers

Answer:

357 cm2

Step-by-step explanation:

The formula to find the area of a trapezoid is (b1 + b2)*h/2. When you plug in all numbers, you get 357 cm2. Hope this helps!

Which answer describes the type of sequence?
3, 4, 7, 11,

geometric
• arithmetic
• neither arithmetic nor geometric

Answers

Answer:

Arithmetic

Step-by-step explanation:

The type of sequence shown is using the number before it to add to the next one.

ex;

2, 4, 6, 8, 10,...

(2 +2, 3 + 3, 4 + 4, 5 + 5) and etc...

Other Questions
Using the model from the example above, where f(x)=10001+999e0.6030x, estimate the number of cases of flu on day 15. Remember that answers should be rounded to the nearest whole number. As head chef of a restaurant, Chad always encouraged his subordinates to be creative in the culinary arts. He did not believe in using prescribed recipes while cooking. He allowed them to create unique recipes and use different ingredients to prepare dishes. This implied that the head chef established _________ goals. 19. Parkash had just enough money to buy 100 pencils. However, he bought only 70 pencils and had $4.50 left. What was the cost of each pencil? One year, there were about 3,000 institutions of higher learning in the U.S. (including junior colleges and community colleges). As part of a continuing study of higher education, the Carnegie Commission took a simple random sample of 400 of these institutions. The average enrollment in the 400 sample schools was 3,700, and the SD was 6,500. The Commission estimates the average enrollment at all 3,000 institutions to be around 3,700; they put a give-or-take number of 325 on this estimate. There were about 600,000 faculty members at institutions of higher learning in the U.S. As part of its study, the Carnegie Commission took a simple random sample of 2,500 of these faculty persons. On the average, these 2,500 sample persons had published 1.7 research papers in the two years prior to the survey, and the SD was 2.3 papers. If possible, find an approximate 95%-confidence interval for the average number of research papers published by all 600,000 faculty members in the two years prior to the survey. If this isn't possible, explain why not. EssayHave you ever had a bad dream where you were somewhere strange? A nightmare where you were small and vulnerable and all alone in an unknown place.Write down everything you saw in your nightmare below (800 character(s) remaining) FIND THE AREA - GEOMETRY A house has increased in value by 37% since it was purchased. If the original value was $720, 000, what is the value after the increase? A house has increased in value by 37 % since it was purchased . If the original value was $ 720 , 000 , what is the value after the increase ? Calculate the volume of a cylinder of radius 5cm and height 14cm (take pie 22/7) Jackie buys 5 books at $27 each and pays for them with 20 dollar bills. How many $20 bills does she need to pay for all the books? How do you solve this? What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm? Enter your answer as a decimal in the box A uniform rod with a mass of m = 1.94 kg and a length of l = 2.10 m is attached to a horizontal surface with a hin ge. The rod can rotate around the hin ge without friction.Initially the rod is held at rest at an angle of = 70.4 with respect to the horizontal surface. Then the rod is released.1. What is the angular speed of the rod, when it lands on the horizontal surface?2. What is the angular acceleration of the rod, just before it touches the horizontal surface? In the condensation part of the water cycle, what is the change of state that water goes through?A: From gas to liquidB: From liquid to gasC: Form liquid to solidD: From solid to gas Find f(5) for f(x)=1/4(2)^xA. 2B. 4C. 32D. 8 choose the equation below that represents the line passing through the point (-2,-3) with a slope of -6 Two balls of equal mass collide and stick together as shown in the figure. The initial velocity of ball B is twice that of ball A. a. Calculate the angle above the horizontal of the motion of mass A + B after the collision. b. What is the ratio of the final velocity of the mass A + B to the initial velocity of ball A, /? c. What is the ratio of the final energy of the system to the initial energy of the system, /? Is the collision elastic or inelastic? A 16 -foot ladder is leaning on a tree. The bottom of the ladder on the ground at a distance of 6 feet from the base of the tree. The base of the tree and the ground form a right angle. What is the distance, in feet, between the ground and the top of the ladder? Round your answer to the nearest tenth. Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s2 lasting for any length of time will not cause injury, whereas an acceleration greater than 1,000 m/s2 lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.56 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 2.2 mm. If the floor is carpeted, this stopping distance is increased to about 1.3 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. Answer the following:1.hardwood floor magnitude 2.hardwood floor duration 3.carpeted floor magnitude 4.carpeted floor duration Why do development experts use per capita gross domestic product (per capita GDP) instead of gross domestic product (GDP) to determine the value of production and measure of income for an economy I would appreciate if somebody help me please!!! Pt2 posted