There are two points of the form (x,-4) that have a distance of 10 units from the point (3,2). Give the x value for one of those points.​

Answers

Answer 1

Answer:

x = - 5

Step-by-step explanation:

[tex]Let \ (x _ 1 , y _ 1 ) \ and \ (x _ 2 , y _ 2 ) \ be \ the \ points. \\\\The \ distance \ between \ the \ points \ be ,\ d = \sqrt{(x_2 - x_1)^2 + ( y _ 2 - y_1)^2}[/tex]

Given : d = 10 units

         And the points are ( x , - 4) and ( 3 , 2 ).

Find x

[tex]d = \sqrt{( 3 - x)^2 + ( -4 - 2)^2} \\\\10 = \sqrt{( 3 - x)^2 + ( -6)^2} \\\\10^2 = [ \ \sqrt{( 3 - x)^2 + 36} \ ]^2 \ \ \ \ \ \ \ \ \ [ \ squaring \ both \ sides \ ] \\\\100 = ( 3 - x )^2 + 36\\\\100 - 36 = ( 3 - x )^ 2\\\\( 3 - x ) = \sqrt{64}\\\\3 - x = \pm 8\\\\3 - x = 8 \ and \ 3 - x = - 8\\\\-x = 8 - 3 \ and \ -x = - 8 - 3\\\\-x = 5 \ and \ -x = - 11\\\\x = - 5 \ and \ x = 11\\\\[/tex]

Check which value of x satisfies the distance between the points.

x = 11

[tex]d = \sqrt{(3-11)^2 + (-2--4)^2} = \sqrt{(-8)^2 + (-2+4)^2}= \sqrt{64+4} = \sqrt {68} \ units[/tex]

does not satisfy.

x = - 5:

[tex]d = \sqrt{ (3 -- 5)^2 + ( - 4 - 2)^2} = \sqrt{8^2 + 6^2} = \sqrt{100} =10 \ units[/tex]

Therefore , x = - 5


Related Questions

A gym at a school is being painted. The four walls and the ceiling are to be painted (but not the floor). The gym measures 100 ft x 65 ft x 25 ft. A 5 gallon can of paint costs $151.99 and covers 1750 ft. How many cans should be purchased? What will it cost to paint two coats for this gym (include HST)? ​

Answers

9514 1404 393

Answer:

17 cans$2,971.40

Step-by-step explanation:

We assume ...

the 25' dimension is the wall heightthe HST rate is 15% (the paint is not purchased in Ontario)only full cans of paint can be purchased

The wall area is the wall height times the perimeter of the room.

  wall area = (25')(2(100' +65')) = 8250 ft²

The ceiling area is the product of length and width.

  ceiling area = (100')(65') = 6500 ft²

Then the area to be painted with each coat is ...

  painted area = wall area + ceiling area = (8250 +6500) ft² = 14750 ft²

Then two coats of paint will require sufficient paint to cover ...

  (2 coats)×(14750 ft²/coat) = 29,500 ft²

__

If each can of paint covers 1750 ft², the number of cans required is ...

  (29,500 ft²)/(1750 ft²/can) = 16.86 cans

  17 cans must be purchased

__

The cost of 17 cans of paint with sales tax will be ...

  (17 cans)($151.99/can)(1 +15%) = $2971.40

please i need help with this rn

Answers

Hi there!

[tex]\large\boxed{f(9) = 12}[/tex]

Evaluating f(x) at x = 9 means we must use the piecewise function where x = 9 is included.

f(x) = 12 includes 9 because a "≤" is inclusive of the interval. Thus:

f(9) = 12

In which month was the peak, the largest deposit, made?


A histogram titled Savings Account Deposits has Months on the x-axis and amount deposited on the y-axis. January is 50 dollars; February is 80 dollars; March is 110 dollars; April is 100 dollars: May is 95 dollars; June is 250 dollars; July is 320 dollars; August is 300 dollars; September is 80 dollars.
January
June
July
August

Answers

Your answer is July.

From least to greastest:

January: $50

February: $80

September: $80

May: $95

April: $100

March: $110

June: $250

August: $300

July: $320

I hope this helps!

The month that had the largest deposit is the month of; July

How do you Interpret a Histogram?

From the given histogram with savings account on the x-axis and amount deposited on the y-axis, we can see the following amounts deposited for each month as follows;

January = $50February = $80March = $110April = $100May = $95June: $250July: $320August: $300September: $80

The month with the largest deposit is clearly July

Read more about Histograms at; https://brainly.com/question/25983327

List all the elements of the following set. Use set notation and the listing method to describe the set. The set of all counting numbers less than or equal to 2. Express the set using set notation and the listing method. (Use a comma to separate answers as needed. Use ascending order.)

Answers

Answer:

different question

Step-by-step explanation:

question is wrong

Find the volume of the solid lying between two planes perpendicular to the x-axis at x = −1 and x = 1. The cross sections perpendicular to the x-axis are squares whose diagonals run from y = x 2 to y = 2 − x 2

Answers

I've attached a sketch of one such cross section (light blue) of the solid (shown at x = 0). The planes x = ±1 are shown in gray, and the two parabolas are respectively represented by the blue and orange curves in the (x, y)-plane.

For every x in the interval [-1, 1], the corresponding cross section has a diagonal of length (2 - x ²) - x ² = 2 (1 - x ²). The diagonal of any square occurs in a ratio to its side length of √2 : 1, so the cross section has a side length of 2/√2 (1 - x ²) = √2 (1 - x ²), and hence an area of (√2 (1 - x ²))² = 2 (1 - x ²)².

The total volume of the solid is then given by the integral,

[tex]\displaystyle\int_{-1}^1 2(1-x^2)^2\,\mathrm dx = \int_{-1}^1 (2-4x^2+4x^4)\,\mathrm dx = \boxed{\frac{32}{15}}[/tex]

hlo all here is your question in this question the chooses are below​

Answers

Answer:

1. centimeter

2. kilogram

3. gram

4. milligram

5. centimeter

6. meter

7. kilometer

8. liter

9. kiloliter

10. millimeter

Step-by-step explanation:

you really cannot answer that yourself ?

you don't understand yet the difference between length or distance, area, volume, weight, ... ?

I how this helps then

1. is length, and it is rather short. so, we use a rather small unit to express it.

2. is weight. and a big one. so, we use a bigger unit.

3. is weight. but a small one.

4. is weight. and a really tiny one.

5. is length. similar dimension of size as the finger.

6. is length. and a bigger one.

7. is length. and a truly big one.

8. is volume. liquid volume at that. but rather small.

9. is volume. and again liquid volume. also very big. but still, kiloliter is practically never used by anybody ...

10. is length. and a very tiny one.

98 POINTS!!!
Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4. What is the average rate of change?

Answers

Answer:

The average rate of change is 5.

Step-by-step explanation:

First plug in the x values.

y=5x+1

=(0)5+1

=1

y=5x+1

=(4)5+1

=21

Average rate of change = the change in the output divided by the change in the input.

Output change: 21-1=20

Input change: 4-0=4

20/4=5

20/4 = 5 sorry if its wrong

HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

12

Step-by-step explanation:

10 - 1/2 x = 12-4/3x

60 - 3x = 72-2x

-12 = - x

How many students rank themselves as introverts? Demonstrate your work!!

Answers

Answer:

36 (maybe...)

Step-by-step explanation:

Technically there is no way to answer this question, it says that 120 ADULTS were surveyed and then asks how many STUDENTS rank themselves as introverts.  But if we a supposed to assume that all adults are students:

The ratio of 3:7 means that for every 3 introverts, there are 7 extroverts.

In other words for every 10 people (total introvert+extrovert) there are 3 introverts.

So to find the number of introverts in the group of 120, just multiply by 3/10 or 0.3

The answer would be 36

The triangles are similar by:
the ASA similarity theorem.
the SSS similarity theorem.
the AAS similarity theorem.
the AA similarity postulate.
the SAS similarity theorem.

Answers

Answer:

E. by the SAS similarity theorem.

Step-by-step explanation:

Included angle x° in ∆ ABC ≅ included angle x° in ∆EDC (vertical angles are equal)

DC/BC = 240/150 = 1.6

EC/AC = 320/200 = 1.6

This implies that the ratio of two corresponding sides of both triangles are the same.

Two triangles are considered similar to each other by the SAS similarity theorem of they have a corresponding included angle that is equal and two corresponding sides that are congruent to each other. Therefore, both triangles are similar by the SAS similarity theorem.

Solve using suitable arrangement and properties.
a) 417×1002
b) 4×573×25
c) 8312+284+788+716
d) 125×44+56×125​

Answers

Answer:

Step-by-step explanation:

A- 417 × 1002

  =  417 × (1000+2)

  =  417× 1000+ 417×2

  = 417000+ 834

  = 417834

B- 4× 573×25

    = 4× 25+ 573

    = 100+ 573

   = 57300

C- 8312+284+788+716

   = (8312+284) + (788+716)

   = 8596+ 1504

  = 10,100

D- 125×44+56×125

   = 125× (44+56)

  = 125× 100

  = 12500

Please mark me as brainlist

It took me alot of time to type sorry for that...

Simplify the given expression into the form a+bi, where a and b are rational numbers.
2(-36 - 3i) +(5 +2i)(12 - 2i)

Answers

Answer:

[tex]2(-36 - 3i) +(5 +2i)(12 - 2i) \\ \implies - 72 - 6i + 60 - 10i + 24i + 4\\ \implies \: - 8 + 8i[/tex]

Simplify by expressing fractional exponents instead of radicals.

Answers

8(x^2y^4)^1/2 I think this is the answer

A recent national study about the effectiveness of Echinacea in cold treatments for adults was performed by a medical school in Kansas City. The results stated that 22.5% of the randomly chosen 250 adult subjects in the placebo group in the study noted that their treatment appeared to shorten the length of their colds. In an attempt to determine the average high school GPA of all students enrolled at a Regents University in Kansas, a researcher first randomly selects one of the six Regents Universities, then selects a random sample of 50 students from that University from which to gather data. The descriptive statistic of interest in this study is

Answers

Answer:

The average high school GPA of all students enrolled at a Regents University in Kansas

Step-by-step explanation:

Descriptive statistics refers to aspect of statistics which is employed when summarizing data. Descriptive statistics often use measure of center such as, mean, median and mode to give consider summary of both sample and population data. Measures of spread such as standard deviation and variance and so on also form part of descriptive statistics used for data summarization.

In the scenario described above, the descriptive statistic which the study intends to infer is the average or mean high school GPA of all students enrolled at a Regents University in Kansas. This mean value will be a single value which describes the GPA of all high school students.

Is 237405 divisible by 11​

Answers

Hello!

237405 | 11 ?

237405 : 11 = 21582,(27)

Answer: false

Good luck! :)

Hello,

Is 237405 divisible by 11​?

a=sum of digits in rank odd : 5+4+3 = 12

b=sum of digits in rank even: 0+7+2=9

Calculate the difference: d=a-b=12-9 =3

d is not a multiple of 11 so, then number 237405 is not divisible by 11​.

What is the product of 2x(5+3)-4^2

Answers

Answer:

2×8-4^2

=16-16

=0

0 is the porduct

Solve the two step equations
1. -3x - 4 = 23
2. x/2 - 12 = -4
3. 6a + ( -1) = 10
4. - ( x + 2 ) = 12
5. 7a + 12 = 10
6. -4 ( a + 2 ) = 12

Answers

Hello!

1) -3x - 4 = 23

-3x = 23 + 4

-3x = 27

x = 27 : (-3)

x = -9

2) x/2 - 12 = -4

x - 24 = -8

x = -8 + 24

x = 16

3) 6a + (-1) = 10

6a - 1 = 10

6a = 10 + 1

6a = 11

a = 11 : 6

a = 11/6

4) -(x + 2) = 12

x + 2 = -12

x = -12 - 2

x = -14

5) 7a + 12 = 10

7a = 10 - 12

7a = -2

a = -2 : 7

a = -2/7

6) -4(a + 2) = 12

a + 2 = -3

a = -3 - 2

a = -5

Good luck! :)

A few people gather together to play a game in which one needs to roll 3 six-sided dice. One person notices that the sum of the number of spots on three dice comes up as 11 (the event E1) more often than it does 12 (the event E2) even though it looks like it should be even. This person argues as follows: E1 occurs in just six ways:

{(1,4,6),(2,3,6),(1,5,5),(2,4,5),(3,3,5),(3,4,4)}, and E2 occurs also in just six ways: {(1,5,6),(2,4,6),(3,3,6),(2,5,5),(4,4,4),(3,4,5)}.

Therefore E1 and E2 have the same probability P(E1) = P(E2). Why isn’t it?

Answers

Answer:

Yes, P(E1)=P(E2)

Step-by-step explanation:

We are given that

Number of dice=3

Total outcomes of 1 die=6

Therefore,

Total number of outcomes =[tex]6^3=216[/tex]

E1={{(1,4,6),(2,3,6),(1,5,5),(2,4,5),(3,3,5),(3,4,4)}

E2={(1,5,6),(2,4,6),(3,3,6),(2,5,5),(4,4,4),(3,4,5)}

We have to show that E1 and E2 have the same probability P(E1) = P(E2).

Probability, [tex]P(E)=\frac{Favorable\;outcomes}{Total\;outcomes}[/tex]

Using the formula

[tex]P(E_1)=\frac{6}{216}[/tex]

[tex]P(E_1)=0.0278[/tex]

[tex]P(E_2)=\frac{6}{216}[/tex]

[tex]P(E_2)=0.0278[/tex]

Hence, P(E1)=P(E2)

Use the given information to answer the questions and interpret key features. Use any method of graphing or solving. Round to one decimal place, if necessary.

The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation h(x) -.25x^2 + 3.42, where x is the number of feet away from the golf club (along the ground) the ball is.

The ball starts ____ feet above the ground.

The ball reaches a maximum height of _____ feet at a horizontal distance of ____ feet away from the golf club 19 it was hit with

The ball returns to the ground at about ____ feet away. ​

Answers

B. Gurl that’s way too long for anyone to do

A forestry researcher wants to estimate the average height of trees in a forest near Atlanta, Georgia. She takes a random sample of 18 trees from this forest. The researcher found that the average height was 4.8 meters with a standard deviation of 0.55 meters. Assume that the distribution of the heights of these trees is normal. For this sample what is the margin of error for her 99% confidence interval

Answers

Answer:

The margin of error for her confdence interval is of 0.3757.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.8982

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

Standard deviation of 0.55 meters.

This means that [tex]s = 0.55[/tex]

What is the margin of error for her 99% confidence interval?

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]M = 2.8982\frac{0.55}{\sqrt{18}}[/tex]

[tex]M = 0.3757[/tex]

The margin of error for her confdence interval is of 0.3757.

Margin of error is the distance between the mean and the limit of confidence intervals. The margin of error for the given condition is 3.28 approximately.

What is the margin of error for small samples?

Suppose that we have:

Sample size n  < 30

Sample standard deviation = sPopulation standard deviation = [tex]\sigma[/tex]Level of significance = [tex]\alpha[/tex]Degree of freedom = n-1

Then the margin of error(MOE) is obtained as

Case 1: Population standard deviation is known

Margin of Error = [tex]MOE = T_{c}\dfrac{\sigma}{\sqrt{n}}[/tex]

Case 2: Population standard deviation is unknown

[tex]MOE = T_{c}\dfrac{s}{\sqrt{n}}[/tex]

where [tex]T_{c}[/tex] is critical value of the test statistic at level of significance

For the given case, taking the random variable X to be tracking the height of trees in the sample taken of trees from the considered forest.

Then, by the given data, we get:

[tex]\overline{x} = 4.8[/tex], [tex]s = 4.8[/tex], n = 18

The degree of freedom is n-1 = 17

Level of significance = 100% - 99% = 1% = 0.01

The critical value of t at level of significance 0.01 with degree of freedom 17 is obtained as T = 2.90 (from the t critical values table)

Thus, margin of error for 99% confidence interval for considered case is:

[tex]MOE = T_{c}\dfrac{s}{\sqrt{n}}\\\\MOE = 2.9 \times \dfrac{4.8}{\sqrt{18}} \approx 3.28[/tex]

Thus, the margin of error for the given condition is 3.28 approximately.

Learn more about margin of error here:

https://brainly.com/question/13220147

Which rectangle has an area of 18 square units? On a coordinate plane, a rectangle is 2 units high and 7 units wide. On a coordinate plane, a rectangle is 2 units high and 6 units wide. On a coordinate plane, a rectangle is 3 units high and 5 units wide. On a coordinate plane, a rectangle is 3 units high and 6 units wide.

Answers

Answer:

On a coordinate plane, a rectangle is 3 units high and 6 units wide.

Answer:

option "B"

You Welcome

Step-by-step explanation:

HELP PLEASE! I tried everything from multiplying, dividing, adding, and subtracting but still no correct answer. Can someone please help me out here?

Answers

Answer:  110 square miles

=============================================================

Explanation:

There are a few ways to do this.  

One method involves drawing a horizontal line to form three rectangles as show below. Note the labels A,B,C.

Rectangle A in the upper left corner has area of base*height = 6*7 = 42 square miles. I'll let A = 42 since we'll use it later.Rectangle B is 20 miles across horizontally (base) and 2 miles tall vertically (height). The 2 miles is from 9-7 = 2. The area of rectangle B is 20*2 = 40 square miles. Let B = 40.Then finally, C = 28 because rectangle C is 4 miles across and 7 miles tall, so 4*7 = 28.

Add up those three sub areas found: A+B+C = 42+40+28 = 110 square miles

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

There are other methods you could do. A second method is to draw two vertical lines to form 3 other rectangles, then add up the sub areas to get 110.

A third method is to draw a horizontal line across the top to form one large rectangle (20 mi by 9 mi) and subtract off the area of the 7 mi by 10 mi inner rectangle (the empty space), so you'd say 20*9 - 7*10 = 180-70 = 110

PLEASE HELP! ILL MARK !!

Answers

Answer:

c) tan

Step-by-step explanation:

tan = Opposite side / close side

When close side = v         and     Opposite side = 2,8m

Find three consecutive odd integers whose sum is -213.

Answers

Answer:

-73, -71, -69

Step-by-step explanation:

Suppose the middle of the 3 integers is x.

(x-2)+(x)+(x+2)=-213

x-2+x+x+2=-213

3x=-213

x=-71

The integers are -69, -71, and -73

Answer:

-73,-71,-69

Step-by-step explanation:

Let x represent an odd interger

Odd intergers are serpated by the value of 2 so let the three consective intergers be represented by

[tex](x )+ (x + 2) +( x + 4)[/tex]

Set that equation equal to 213.

[tex]x + x + 2 + x + 4 = - 213[/tex]

[tex]3x + 6 = - 213[/tex]

[tex]3x = - 219[/tex]

[tex]x = - 73[/tex]

Plug -73 in the consective intergers expression.

[tex] - 73 + ( - 73 + 2) + ( - 73 + 4)[/tex]

So our three intergers are

[tex] - 73[/tex]

[tex] - 71[/tex]

[tex] - 69[/tex]

ANSWER ASAPPPP I WILL GIVE BRAINLIEST AND DROP POINTS AFTER

The function f(t) = t2 + 4t − 14 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)

Part C: Determine the axis of symmetry for f(t). (2 points)

(10 points)

Answers

Answer:

A: f(t) = t2(4t) - 14

B: It is a maximum because it continues redistributing forever.

C: Assuming you plotted this on a 0/0 grid, your axis of symetry would be at 18/28

Hope this helps, please mark brainliest

Step-by-step explanation:

A: it is simple really, your just redistributing each T to itself, which is what makes a square / vertex.

Pls help! Answer the question

Answers

Answer:  74 inches

===============================================================

Explanation:

The given stem and leaf plot leads to this data set

68,68,69,69

71,72,77,77,78,78

80,81

I broke it up to have each tens digit get its own row. That way it's bit more readable.

Unfortunately, the term "average" in math is very vague. It could mean one of the following

meanmedianmode

To get the mean (specifically the arithmetic mean), we will add up the values and then divide by n = 12 because there are 12 values in the list above. Adding said values gets us

68+68+69+69+71+72+77+77+78+78+80+81 = 888

Dividing that over 12 then leads to 888/12 = 74

The arithmetic mean is 74.

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

To get the median, we would first sort the data set. Though that is already done for us. From here, we locate the middle-most item.

Since there are n = 12 items here, the middle item is between slot n/2 = 12/2 = 6 and slot 7

The values in slots 6 and 7 are 72 and 77 respectively. The midpoint of those values is (72+77)/2 = 149/2 = 74.5

The median is 74.5

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

The mode is possibly the quickest measure of center or average we can compute. We simply look at the value that shows up the most. In this case, the following values show up twice (which is the most frequent of all the values)

68697778

They are all tied for the title of "mode". It's possible to have more than one mode, so we say the mode is the set {68,69,77,78}.

Due to the nature of multiple modes, the mode is often not a good measure of center (but it's still a possibility; especially for categorical data).

In this case, I think the mean or median is a better measure of center.

Since there aren't any outliers, the mean is the best measure of center in this case. Luckily, the mean and median (74 and 74.5 respectively) are fairly close to one another.

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

To summarize everything, the term "average" is too vague and it could refer to the mean, median or mode. In this problem, the mean is possibly the best measure of center since there aren't any outliers and the mode isn't one single value.

We found the following:

mean = 74median = 74.5mode = {68,69,77,78}

It's very likely your teacher is wanting the mean.

The mathematical expressions of the thermal conditions at the boundaries are called the _____ conditions.

Answers

Answer:

Heat flux boundary condition.

Step-by-step explanation:

Heat flux is boundary condition in positive x-direction. The specified temperature is constant and steady heat conduction. Temperature of exposed surface can be measured directly with the thermal condition expression.

Suppose X has a normal distribution with mean 10.0 and standard deviation 5.0 what is the P(2.0

Answers

Answer:

what r u answers picks

Step-by-step explanation:

cant answer with out of t

Iceberg lettuce is grown and shipped to stores for about 40 cents a head, and consumers purchase it for about 92 cents a head. Find the percent increase.

Answers

Answer: 130%

Step-by-step explanation:

percent increase = x

[tex]40 + 40(x) = 9240\\40(1 + x) = 92\\1+x=\frac{92}{40} \\x=\frac{92}{40} -1=2.3-1=1.3[/tex]

x = 1.3 = 130%

find the slope of the line passing through the points (6,-7) and (3,-3) .​

Answers

Answer:

y2-y1 / x2-x1

-4/3

Step-by-step explanation:

Answer:

-4/3

Step-by-step explanation:

When given two points, the slope is found by

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

   = (-3- -7)/(3 -6)

    = (-3+7)/(3-6)

    = 4/-3

   = -4/3

Other Questions
the amount of mil available per child in a day care centrr is given by the function m(x) =25/x, where x is the number of children and m is the quantity of available milk in liters. if 50 children are present on a day how much milk is available per child Someone be generous & help me please Ill return the favor What is (f.g)(x)? f(x)=x^3 - 4x + 2 g(x)=x^2 + 2 Part A What main message is the writer trying to communicate in "A Quilt of a Country"? A. The United States is very different from other countries. B. People in the United States value the idea that all people are created equal. C. It is amazing that a country made up of such diverse people can be united as one nation. D. A nation in which people are so deeply divided by ethnicity, background, and customs makes no sense. Part B Which quotation from "A Quilt of a Country" best supports the answer to Part A? A. America is an improbable idea, a mongrel nation built of ever-changing disparate parts, it is held together by a notion, the notion that all men are created equal, though everyone knows that most men consider themselves better than someone. B. "Of all the nations in the world, the United States was built in nobody's image," the historian Daniel Boorstin wrote. C. What is the point of a nation in which one part seems to be always on the verge of fisticuffs with another ? D. These [people who died in the World Trade Center destruction] are the representatives of a mongrel nation that somehow, at times like this, has one spirit. Like many improbable ideas, when it actually works, it's a wonder. A telephone exchange operator assumes that 7% of the phone calls are wrong numbers. If the operator is accurate, what is the probability that the proportion of wrong numbers in a sample of 459 phone calls would differ from the population proportion by more than 3% 12.A solar heater uses energy from the Sun to heat water. The panels of the heater are painted black.Why is this? According to the kinetic-molecular theory, gas molecules haveANSWER:PartA. Less energy than molecules of a solid.B. strong interactions between molecules.C. little distance between moleculeD. weak interactions between molecules. Evaluate:11x - 8(x - y) Suppose a van de Graaff generator builds a negative static charge, and a grounded conductor is placed near enough to it so that a 7.0 mu C of negative charge arcs to the conductor. Calculate the number of electrons that are transferred. A low-interest loan for students who demonstrate financial need is a(n):A. Indirect Unsubsidized Loan.B. Direct Unsubsidized loan.C. Federal Pell Loan.D. Direct Subsidized Loan.People say its D. Direct Subsidized Loan. but I took the test and didn't get it right.What do u guys think the answer is? find the compound interest on rs 800 for 2 years at 8% per annum interest being payable annually two significant figures, 18.96 x 2.03 is In 2010 the Federal Reserve Board (the Fed) reported that nonfinancial companies in the United States had around $2 trillion in cash and short-term liquid assets. As the U.S. economy was still struggling, consumer spending remained low, and companies resisted in investing in new projects that would create value for their stakeholders.As the economy improves, uncertainty in the markets decreases, and companies will start investing in projects. However, the challenge of analyzing and selecting projects that would generate cash flows and returns and add value to the firm would remain.The assumptions in the analysis about cost of equity and debtoverall and for projectshave a significant impact on the type and the value of investments that a company makes.According to the Association of Finance Professionals report, published in 2011 on current trends in estimating and applying the cost of capital, companies use a discount rate that is usually above or below 1% of the companys true rate. Using this information and certain inputs from the Fed, Michael Jacobs and Anil Shivdasani estimated that a 1% drop in the cost of capital leads U.S. companies to increase their investment by about $150 million over three years.Based on your understanding of the concept of cost of capital, which of the following statements are valid? a. Companies always use the weighted average cost of capital (WACC) as the discount rate to analyze the financial viability of projects.b. A companys estimate of cost of capital impacts its application in the analysis of new investments that, consequently, affects the value of the firm and shareholders wealth.c. Investors care about the incremental value addition that new projects are making; they are least concerned with the discount rates that the company uses.d. Companies incorporate the required rate of return in the cost of capital to compensate investors for the components risks. use the graph to find the value of y=sin q for the value of q 330 Please help I dont understand at all 3-6 Adnde van? Following the model, write complete sentences using the verb ir.OJO! Remember: a + el = al.MODELO:mi hermano / museoMi hermano va al museo.1. ustedes / el supermercado2. tu pap y tu mam / la tienda3. t y tu novio(a) / el restaurante4. yo / el partido5. nosotros / el gimnasio6. usted / la plaza7. t / la iglesia3-71 Qu planes tenemos? Rewrite the sentences to describe your plans for the nearfuture. Use the ir a + infinitive construction.MODELO: Practico ftbol a las ocho.Voy a practicar ftbol a las ocho.1.Comemos pavo (turkey) para el Da de Accin de Gracias.2.Practicamos natacin al aire libre.3.Hace mucho calor.4. Regalamos flores para el Da de San Valentn.5.Practicamos ftbol americano.6.Celebramos el Da de la Independencia de los Estados Unidos.7.Celebramos la Navidad.8.Nieva y esquiamos en las montaas.9.Celebramos el Da de San Patricio.10.Comenzamos el nuevo semestre Which best describes what forms in nuclea fission?O two smaller, more stable nucleiO two larger, less stable nuclei one smaller, less stable nucleusone larger, more stable nucleus When you compute with decimals you should always check your answer is reasonable why Read the following excerpt from Katherine Anne Porter's "The Jilting of Granny Weatherall":"Mother, Father Connolly's here." "I went to Holy Communion only last week. Tell him I'm not so sinful as all that." "Father just wants to speak with you." He could speak as much as he pleased. It was like him to drop in and inquire about her soul as if it were a teething baby, and then stay on for a cup of tea and a round of cards and gossip. He always had a funny story of some sort, usually about an Irishman who made his little mistakes and confessed them, and the point lay in some absurd thing he would blurt out in the confessional showing his struggles between native piety and original sin. Granny felt easy about her soul. Cornelia, where are your manners? Give Father Connolly a chair. She had her secret comfortable understanding with a few favorite saints who cleared a straight road to God for her. All as surely signed and sealed as the papers for the new forty acres. Forever . . . heirs and assigns forever. Since the day the wedding cake was not cut, but thrown out and wasted. The whole bottom of the world dropped out, and there she was blind and sweating with nothing under her feet and the walls falling away, His hand had caught her under the breast, she had not fallen, there was the freshly polished floor with the green rug on it, just as before. He had cursed like a sailor's parrot and said, "I'll kill him for you." Don't lay a hand on him, for my sake leave something to God. "Now, Ellen, you must believe what I tell you. . . ."Identify two themes that are clearly developed in this excerpt of "The Jilting of Granny Weatherall." How does the author develop the two themes over the course of the text? Be sure to use specific details from the text to support your answer. ??????????????????????????