N=
Help me please!!! Asap thanks so much :)

N=Help Me Please!!! Asap Thanks So Much :)

Answers

Answer 1

Answer:

n = 100

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

given A = 40π , then

πr² × [tex]\frac{n}{360}[/tex] = 40π

π × 12² × [tex]\frac{n}{360}[/tex] = 40π

144π × [tex]\frac{n}{360}[/tex] = 40π ( divide both sides by π )

144 × [tex]\frac{n}{360}[/tex] = 40 ( multiply both sides by 360 to clear the fraction )

144n = 14400 ( divide both sides by 144 )

n = 100


Related Questions

what is 7/10+1/2+38 and type the anserw for me betterly

Answers

Answer: 39 1/5

Step-by-step explanation:

7/10 + 1/2 + 38

= 7/10 + 5/10 + 38

= 12/10 + 38

= 38 12/10

= 39 2/10

= 39 1/5

If the 38 was supposed to be 3/8, heres the answer :

7/10 + 1/2 + 3/8

= 28/40 + 20/40 + 15/40

= 63/40

= 1 23/40

How do you determine if three points are in a straight line in 3D?

Answers

To determine if three points are in a straight line in 3D, you can calculate the vector between the first two points and then check if the third point is in the same direction as the vector.

What is straight line?

Straight line is a line that extends infinitely in two opposite directions and has no curves or bends. It is the shortest distance between two points and is the basic form of geometry. A straight line is composed of two end points and all the points in between that make up the line. Straight lines are used to create shapes and constructions in mathematics, science and engineering.

If the dot product of the vector and the point is 0, then the three points are in a straight line. Alternatively, you can calculate the area of the triangle formed by the three points and if it is 0, then the points are in a straight line. Another option is to calculate the determinant of the matrix formed by the three points and if it is 0, then the points are in a straight line. Finally, you can calculate the angle between the two vectors formed by the three points and if it is 0, then the points are in a straight line.

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hi i dont know can u may answer???????

Answers

Answer:

B) 2 5/8 - 1 4/8

Step-by-step explanation:

I'm bad at explaining but I hope this helps!! ₍^ >ヮ<^₎

What is the image point of ( 6 , 5 ) after the transformation D 5 ∘ 0 ∘T 0,0 ​ ?

Answers

The image point of P(x,y) = ( 6 , 5 ) after applying a horizontal reflection is P'(x,y) = (1, 5).

How to determine the image after transformation?

In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:

P'(x,y) = P(x,y) + T(x,y)                    (1)

Where:

P(x,y) - Original point

T(x,y) - Translation vector

P'(x,y) - Image point

If we know that P(x,y) = (6, 5) and T(x,y) = (5, 0), then the image point is:

P'(x,y) = (6, 5) + (5, 0)

P'(x,y) = (1, -6)

The image point of P(x,y) = (6, 5) after applying a horizontal reflection is P'(x,y) = (1, 5).

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Correct form of the question

What is the image point of (x, y) = (6, 5) after the transformation of translating horizontally the point 5 units to the y-axis?

What are the 5 steps in solving rational inequality?

Answers

The following are the 5 steps in solving a rational inequality: simplifying the inequality, factoring the numerator and denominator of the inequality, set the numerator and denominator equal to zero.

Solving a rational inequality involves isolating the variable and determining the range of values that make the inequality true.

Simplify the inequality by clearing any fractions: This can be done by multiplying both sides of the inequality by the least common multiple (LCM) of the denominators of the fractions.

Factor the numerator and denominator of the inequality: This can be done to cancel out any common factors between the numerator and denominator.

Set the numerator and denominator equal to zero and solve for the zeros: This can be done to find the values of the variable that make the numerator and denominator equal to zero.

Test the zeros and any critical values: This can be done by substituting the zeros and critical values back into the inequality and determining if they make the inequality true or false.

Plot the solution on the number line: This can be done by plotting the zeros and critical values on a number line and shading the region that makes the inequality true.

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find the probablility that the sum of two randomly chosen numbers from the set{0,1,2,3,4,5,6,7,8,9} is no grreater than 10

Answers

Answer:

1 /5

Step-by-step explanation:

formulae -

possible outcomes / total chances

2/10

1/5

25. Higher Order Thinking How are the ratios 24 laps 1 hour different? 192 laps 8 hours alike? How are they different?​

Answers

These ratios are different because they express the number of laps for two different numbers of hours.

How do these ratios compare?

To better understand how these ratios compare, let's simplify the second ratio:

192 laps/ 8 hours = 24, which means the ratio would be 24 laps per hour

This means that the ratios express the same number of laps per hour.

What makes the ratios different?

Basically, the two ratios tell us the number of laps but using different hours. In this way, the first ratio expresses the number of laps in only one hour, while the second ratio amplifies this ratio to eight hours.

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Can someone please help me with problem 6 of this assignment?I included the measurements of the triangle so that you are able to solve it accurately.

Geometry Topic: 6.1 - 6.4 Constructing Parts and Centers

Problem 6 Directions: Remember! Triangle centers may be outside the triangle. Locate the orthocenter of each triangle by finding the intersection of the altitudes.

Answers

Answer:

see drawing

Step-by-step explanation:

dose anyone know how to do this attached below

Answers

The area of the shaded section is approximately equal to 219.711 square meters.

How to determine the area of the shaded section

In this problem we find the case of a shaded section, whose area must be determined. This can be realized by finding the area of rhombus OPQR and subtract the circular section OPR from it. All missing lengths of the triangles from the rhombus can be found by trigonometric functions.

The formula to determine the area of the shaded area is:

A = 2 · 0.5 · OR · RQ - (140 /360) · π · OR²

RQ = OR · tan 70°

If we know that OR = 12 m, then the area of the shaded section is:

RQ = 12 · tan 70°

RQ = 32.970

A = 2 · 0.5 · OR · RQ - (140 /360) · π · OR²

A = OR · RQ - (7π / 18) · OR²

A = 12 · 32.970 - (7π / 18) · 12²

A ≈ 219.711 m²

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Can you PLSS help me answer these question?

AND PLS GIVE A EASY + DETAILED STEP BY STEP ON HOW U GOT THE ANSWER BC IM SLOW LOL

1. 3x - 2y = 11
x + 2y=9

2. 3x + y= 9
2x+ y = 5

3. -x - 2y=4
3x + 2y=4

4. x + 3y= (-2)
3x + 4y= (-1)

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

[tex]\displaystyle \left \{ {{3x-2y=11} \atop {x+2y=9}} \right.\\\\(3x-2y)+(x+2y)=11+9\\3x+x-2y+2y=20\\4x=20\\x=5\\\\x+2y=9\\5+2y=9\\2y=4\\y=2\\\\(5,2)[/tex]

Problem 2

[tex]\displaystyle \left \{ {{3x+y=9} \atop {2x+y=5}} \right.\\\\(3x+y)-(2x+y)=9-5\\3x-2x+y-y=4\\x=4\\\\2x+y=5\\2(4)+y=5\\8+y=5\\y=-3\\\\(4,-3)[/tex]

Problem 3

[tex]\displaystyle \left \{ {{-x-2y=4} \atop {3x+2y=4}} \right.\\\\(-x-2y)+(3x+2y)=4+4\\3x-x-2y+2y=8\\2x=8\\x=4\\\\-x-2y=4\\-4-2y=4\\-2y=8\\y=-4\\\\(4,-4)[/tex]

Problem 4

[tex]\displaystyle \left \{ {{x+3y=-2} \atop {3x+4y=-1}} \right.\\ \\\\\left \{ {{3x+9y=-6} \atop {3x+4y=-1}} \right.\\\\(3x+9y)-(3x+4y)=-6-(-1)\\3x-3x+9y-4y=-6+1\\5y=-5\\y=-1\\\\x+3y=-2\\x+3(-1)=-2\\x-3=-2\\x=1\\\\(1,-1)[/tex]

Basically, the goal is to eliminate one variable from a system of equations to solve for the other variable. In the case of problem 4, we had to multiply an equation by a constant in order to eliminate that variable.


Marty is making a layaway purchase of a $2,050 sofa at Frank's Furniture Store. He will be paying $173.19 every 2 weeks for 32 weeks on a layaway plan. What is
the layaway fee for this purchase?
$721.07
$721.06
$721.04
$721.05

Answers

Answer:

Step-by-step explanation:

The layaway fee for this purchase should be considered as the $60 when the purchase should be done.

Marty is making a layaway purchase of a $1,500 couch at Frank’s Furniture Store. He will be paying $156 every 2 weeks for 20 weeks

So, it can be like

= $1,560 - $1500

= $60

The layaway fee for this purchase should be considered as the $60 when the purchase should be done.

What is equivalent to 3/4 equal 6/?

Answers

The equivalent to 3/4 equal 6/ is 8

What is equivalent fraction?

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent

from the question,

3/4 equal 6/?

Let x represent the unknown value

= 3/4=6/x

We can simplify this by cross multiplying

3x=24

Divide both sides of the equation by 3

3x/3 = 24/3

x=8

Hence the equivalent to  3/4 equal 6/? is 8

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HELP ME PLEASE!!!!!! Q and R are independent events. if P(Q)=1/8 and P(R)=2/5 find P(Q and R). 19/40,21/40,1/20

Answers

Answer:

Step-by-step explanation:do 1/8 *2/5*=

Plot a point on the coordinate plane to represent each of the ratio values in the table.

Answers

The points on the coordinate plane which represent the ratio values given in the table are given attached, where Distance is on the Y-Axis and Time is on the X-Axis.

What are Ratio Values?

Ratio data is a type of numerical (quantitative) data. It computes the distance between neighboring numbers on a continuous scale.

While it shares these characteristics with interval data (another form of quantitative data), ratio data is distinguished by the presence of a 'real zero.' In other words, a ratio scale measure of zero is absolute: ratio data can never be negative.

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The following bar graph summarizes the weather conditions in Crayonton for each day this month so far.

Answers

The reasonable estimate of the probability that it is sunny tomorrow is 25%.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Probability of an event is calculated by dividing the number of desirable outcomes by the total number of events possible.

From the graph, we have,

Number of days weather is sunny = 3

Total number of days = Days weather is sunny + Days weather is cloudy + Days weather is rainy + Days weather is snowy

Total number of days = 3 + 5 + 2 + 2 = 12

Probability that weather is sunny = 3 / 12 = 1/4 = 0.25 = 25%

Hence there is a 25% probability that weather is sunny.

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The complete question is as follows :

The following bar graph summarizes the weather conditions in Crayonton for each day this month so far. Based on this data, what is a reasonable estimate of the probability that it is sunny tomorrow? Choose the best answer.

BRAINLIEST Please and Thank you

Answers

This is a scalene triangle because the three side lengths are not equal.

The number of fish in a lake decreased by 53% between last year and this year last year there where 245 fish in the lake what is the population this year?

Answers

The number of fish remaining in the lake this year will be 115.

What does a population mean?

A population mean any group that shares at least one characteristic. Populations are more than just individuals. People, animals, businesses, buildings, motor vehicles, farms, objects, or events are examples of populations.

Data

The decrement in number of fish = 53%.

Number of fish previous year = 245

Remaining number of fish  will be 47%.

The population of fish this year will be:

= 47% * 245 fish

= 115 fish.

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The most Lastri can afford to pay per year in mortgage payments is $13,900, and her credit score is 498. According to the following table for a $150,000 mortgage, by how many points would she need to improve this credit score in order to take a mortgage for $150,000?

Answers

According to the table for a $150,000 mortgage, Lastri's credit score needs to improve by 62 points for her to take a mortgage for $150,000.

What is the credit score?

The credit score refers to an individual's or entity's creditworthiness rating.

The credit score predicts a person's credit behavior and ability to repay credit.

Financial institutions and lenders use the credit score to determine the amount of credit to offer a borrower, the attached credit risks, and the accompanying interest rate, including monthly payments.

Annual mortgage payments Lastri can afford = $13,900

Monthly payment = $1,158 ($13,900 ÷ 12)

Current credit score = 498

Minimum credit score for a monthly payment of $1,158 = 560

Additional credit score improvement = 62 (560 -498)

Thus, for Lastri to qualify for a $150,000 mortgage, her FICO credit score must improve by 62 points.

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Question Completion:

Table

FICO              Interest    Monthly

Score               Rate      Payment

720 - 850       5.59%       $860

700 - 719        5.71%        $872

675 - 699       6.25%      $924

620 - 674       7.40%    $1,039

560 - 619       8.53%     $1,157

500 - 559      9.29%    $1,238

write an expression for “the quoitient of 9 and c

Answers

The expression that the quotient of the number 9 and the letter 'c' will be 9 / c.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The quotient of the number 9 and the letter 'c' is written as,

⇒ 9 / c

The expression that the quotient of the number 9 and the letter 'c' will be 9 / c.

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Lucas has 36 pages of a book left to read. If he reads 6 pages a day, how many days will it take Lucas to finish the book?

Answers

Answer:

6

Step-by-step explanation:

36/6

equals 6

Answer:

6 days.

Step-by-step explanation:

36 total pages

6 page a day

Then:

36/6 = 6

A traveler is walking on a moving walkway in an airport. The traveler must walk back on the walkway to get a bag he forgot. The​ traveler's ground speed is 1 ​ft/s against the walkway and 5 ft/s with the walkway. What is the​ traveler's speed off the​ walkway? What is the speed of the moving​ walkway?

Answers

Answer:

this is it

Step-by-step explanation:

I'm not sure how to solve it​

Answers

Answer: x = 3; y = -2

Step-by-step explanation:

Simultaneous Equations:
3^(2x) x 3^(3y) = 3^0
2x + 3y = 0

2^(2x) x 2^(-0.5y) = 2^7
2x - 0.5y = 7

2x = -3y

-3y - 0.5 y = 7

y = -2

x = 3

Answer:

x=3 y=-2

Step-by-step explanation:

its at the bottom of the page ‍♂️‍♂️

What are the two types of inequality?

Answers

There are many different types of inequality, but generally, they can be grouped into two main categories economic inequality and social inequality.

Economic inequality: This refers to the unequal distribution of wealth, income, and resources among individuals or groups within a society. Economic inequality can manifest in various forms, such as income inequality, wealth inequality, and poverty.

Social inequality: This refers to the unequal distribution of social status, power, and privilege among individuals or groups within a society. Social inequality can manifest in various forms, such as discrimination, prejudice, and bias, which can limit opportunities and access to resources for certain groups.

It's important to note that these two types of inequality are often interconnected and can have a significant impact on individuals and groups, leading to reduced opportunities, access to resources, and lower quality of life.

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A jacket costs $75, and it is on sale for 60% off. What is the discounted price of the jacket?
Explain what you did.

Answers

Answer:$30

Step-by-step explanation:

$75 jacket is 60% off

Step 1: Plug in numbers

Use is/of=%/100 method

is/75=60/100=45

Step 2: Find the Price of Discounted Jacket

75-45=$30

Answer:

The discounted price of the jacket is $30

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

Initial cost is $75 and the discount is 60%.

Subtract 60% to find the discounted amount:

75 - 60% = 75 - 75*60/100 = 75 - 45 = 30

can you use the angel bisector theorem to solve for m∠TVW?

Answers

So, on solving the provided question we can say that in this quadrilateral we know that sum of all angles is 360, so other will be 90 each too.

what is quadrilateral?

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

here in this quadrilateral

we know that sum of all angles is 360

two of the are 90 each

so other will be 90 each too.

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Sarah needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4. 25 hours and charged her $54 for parts. The total was $585. 25. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answers

The labour cost per hour charged by the technician for the laptop is $124.91

Here we see that it cost Sarah $54 dollars for the parts. Now, the technician charged her $585.25.

Since nothing else is mentioned, we will assume that the technician charged Sarah only for the parts and their labour hours.

Hence after deducting the charge for the computer parts, we can get the cost for the labour. We know the labour hours to be 4.25 hours. We don't know the labour cost, which is to be found.

Let the cost of labour per hour be $x

Hence the labour cost will be $4.25x

Adding the cost of parts will give us the charged amount. Hence we get

4.25x + 54 = 585

or, 4.25x = 531

or, x = 531/4.25

or, x = 124.941

Hence the cost per hour is $124.941

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What is the formula for a 45 degree triangle?

Answers

Using the formula of Pythagorean Theorem we can find a 45 degree triangle.

The degrees of the triangle's three inner angles give rise to its name, 45, 45, and 90. The triangle formed by the angles 45, 45, and 90 is said to be isosceles since two of the angles are less than the third.

Due to the fact that this triangle has one angle that is precisely 90 degrees, it is also regarded as a right triangle.

The following guidelines apply to the 45-45-90 triangle's characteristics:

1. There must always be a right angle in one angle.

2. The second pair of angles must always be 45-degree angles.

3. A triangle has two equal-length sides, but the third side is always longer.

Using the Pythagorean Theorem - Since a 45-45-90 triangle has a right angle, the length of its sides may be calculated using the Pythagorean Theorem.

Recall the formula for the Pythagorean Theorem:

a^2 + b^2 = c^2.

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What is the secant segment theorem?

Answers

The secant segment theorem states that If two secant segments intersect outside a circle, then the product of the secant segment with its external portion equals the product of the other secant segment with its external portion.

A secant is a line on the circle that connects exactly two distinct points on the curve. Secant is not a chord but a chord is part of a secant. Two different secants can intersect each other internally or externally.

Further, the secant segment theorem defines two more theorems or properties and they are:-

The angle formed by two internally intersecting secants in a circle is half the sum of the intercepted arcs.The angle formed by two externally intersecting secants in a circle is half the difference between the intercepted arcs.

Arcs are line segment that is part of the circumference of a circle. It is like a smooth curve that joins two points. If an arc is of exactly the half-length of circumference then it is called a semicircular arc.

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write the slope intercept form of the equation of a line with a slope of -5/8 that passes through the point (-14, 6)

Answers

Answer:

Step-by-step explanation:

Slope intercept for y=mx+b

point it passes (-14, 6) wherein b (0, b) is b=6

slope m = -5/8  

substitute: y = mx+b

                 y= (-5/8)x+6

You earn $28.50 per hour. Worked 34 hours last week. What was your gross pay?
Your answer

Answers

Answer:$969

Step-by-step explanation:

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(Select all that apply.)The receptors of steroid hormones are located inside the cells, whereas the receptors of peptide and amine hormones are located on the surface of the target cells.Steroid hormones can pass through cell membranes, whereas peptide and amine hormones cannot.Steroid hormones are produced by the cells they act upon, whereas peptide and amine hormones are produced by one group of cells and act on another group of cells.Steroid hormones form steroid-receptor complexes that bind to DNA, whereas peptide and amine hormones do not form such complexes.Steroid hormones act slowly, whereas peptide and amine hormones act fast Political pollsters may be interested in the proportion of people that will vote for a particular cause. Match the vocabulary word with its corresponding example. a. The proportion of the 750 survey participants who will vote for the cause b. The list of 750 Yes or No answers to the survey question c. The proportion of all voters from the district who will vote for the cause d. The answer Yes or No to the survey question e. All the voters in the district f. The 750 voters who participated in the survey1. Data 2. Population 3, Parameter 4. Statistic 5. Sample 6. Variable QUESTION 1 Read the following excerpt carefully before you choose your answer.(1) If a physician of high standing, and one's own husband, assures friends and relatives that there is really nothing the matter with one but temporary nervous depressiona slight hysterical tendencywhat is one to do?(2) My brother is also a physician, and also of high standing, and he says the same thing.(3) So I take phosphates or phosphiteswhichever it is, and tonics, and journeys, and air, and exercise, and am absolutely forbidden to "work" until I am well again.(4) Personally, I disagree with their ideas.(5) Personally, I believe that congenial work, with excitement and change, would do me good.(6) But what is one to do?(7) I did write for a while in spite of them; but it does exhaust me a good dealhaving to be so sly about it, or else meet with heavy opposition.(8) I sometimes fancy that in my condition if I had less opposition and more society and stimulusbut John says the very worst thing I can do is to think about my condition, and I confess it always makes me feel bad.(9) So I will let it alone and talk about the house.The repetition of the word "Personally" in sentences 4 and 5 suggests that the narrator feels the need to qualify her opinion is highly uncomfortable writing in the journal is planning to escape from the room is uncertain of her own opinions wants to forcefully assert herself QUESTION 2 Read the following excerpt carefully before you choose your answer.(1) If a physician of high standing, and one's own husband, assures friends and relatives that there is really nothing the matter with one but temporary nervous depressiona slight hysterical tendencywhat is one to do?(2) My brother is also a physician, and also of high standing, and he says the same thing.(3) So I take phosphates or phosphiteswhichever it is, and tonics, and journeys, and air, and exercise, and am absolutely forbidden to "work" until I am well again.(4) Personally, I disagree with their ideas.(5) Personally, I believe that congenial work, with excitement and change, would do me good.(6) But what is one to do?(7) I did write for a while in spite of them; but it does exhaust me a good dealhaving to be so sly about it, or else meet with heavy opposition.(8) I sometimes fancy that in my condition if I had less opposition and more society and stimulusbut John says the very worst thing I can do is to think about my condition, and I confess it always makes me feel bad.(9) So I will let it alone and talk about the house.The fact that the woman is not actively involved in decisions regarding her own treatment is best characterized through the details in which sentence? Sentence 1 Sentence 2 Sentence 3 Sentence 6 Sentence 9 Write the equation in standard form for the circle x2+y236=0 In the LMK partnership, Luiss capital is $41,800, Martys is $50,300, and Karls is $30,800. They share income in a 4:1:1 ratio, respectively. Karl is retiring from the partnership.Required:Prepare journal entries to record Karls withdrawal according to each of the following independent assumptions:a. Karl is paid $38,500, and no goodwill is recorded.b. Karl is paid $43,800, and only his share of the goodwill is recorded.c. Karl is paid $34,500, and all implied goodwill is recorded Why did President Richard Nixon attempt to stop the release of the PentagonPapers?A. Because the documents included classified information that hadbeen leakedB. Because he feared the violence that might occur if the documentswere releasedC. Because he didn't want the Vietnam War to lose supportD. Because the documents included information that was untrue andmisleading media coverage of an issue is most likely to change public opinion when A hospital saline solution is analyzed to confirm its concentration. A 50.0 mL sample with a mass of 50.320 g is evaporated to dryness. If the solid sodium chloride residue has amass of 0.669 g. what is the mass percent and molar concentration of the saline solution? Diversification becomes a prime strategic option in all but which one of the following situations? When a company can leverage existing competencies and capabilities by expanding into businesses where these same resource strengths are key success factors and valuable competitive assets When a company has more resource deficiencies than resource strengths in its principal business When a company spots opportunities to expand into industries whose technologies and/or products complement its present business When a company has a powerful and well-known brand name that can be transferred to the products of other businesses and thereby used as a lever for driving up the sales and profits of such businesses When diversifying into closely related businesses opens new avenues for reducing costs x1,... xn i.i.d. negative binomial (m,p) Find UMVUE for (1-p)r , r>=0 Hint: a power series if = (1-p) The titration of a 35.00 ml sample of a h3po4 solution of unknown concentration requires 32.66 ml of 0.185 m ca(oh)2 solution to reach the endpoint. what is the molarity of the unknown h3po4 solution? considering just the classification system presented in this chapter, into which of the kingdoms would you place moss? a spherical solid, centered at the origin, has radius 100 and mass density \delta(x,y,z)=104 -\left(x^2 y^2 z^2\right). find its mass. Mr. Hillman is buying boxes of coloredpencils for his classroom. They regularlycost $1. 80 each but are on sale for 30%off. If sales tax is 6% and he has a $40budget, how many boxes can be buy?