What is the approximate (use 3.14 for pi) volume of this cylinder?
(Diameter is 10 in and height is 12.2 in)
A)383.1 cubic inches
B)957.7 cubic inches
C)122cubic inches
D)3830.8 cubic inches

What Is The Approximate (use 3.14 For Pi) Volume Of This Cylinder? (Diameter Is 10 In And Height Is 12.2

Answers

Answer 1

Answer: B

V=957.7 cubic inches

Step-by-step explanation:

V=Hxpixr^2

V=12.2x3.14x5^2           r=5 because it is half of the diamter, which is 10.

V=12.2x3.14x25

V=957.7 cubic inches


Related Questions

This is not a math question, but can someone please tell me how to put my questions in the high school section instead of the college one?

Answers

Answer:

it should give you the option right before you post the answer, what subjectand grade level

Step-by-step explanation:

solve:

f(x)=3x^2-2x+4

x=2

Answers

Answer:

to find f(2), we need to substitute x=2 into the equation:

f(2) = 3(2)^2 - 2(2) + 4

Simplifying:

f(2) = 3(4) - 4 + 4

f(2) = 12

Therefore, f(2) = 12.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(2) = (3)(2^2) - 2(2) +4[/tex]

       [tex]= 12 - 4+ 4[/tex]

       [tex]= 12[/tex]

Plot the point where θ =

Answers

Basically -60,
It’s the first from the bottom in the lower right quadrant or 4th quadrant

A(-4,-6) and B (3,2) find midpoint of AB

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-6})\qquad B(\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 3 -4}{2}~~~ ,~~~ \cfrac{ 2 -6}{2} \right) \implies \left(\cfrac{ -1 }{2}~~~ ,~~~ \cfrac{ -4 }{2} \right)\implies \left(-\frac{1}{2}~~,~~-2 \right)[/tex]

The graph shows the relationship between time and
distance for Mason's training run.

Answers

The graph represents a proportional relation

The unit rate is 200The unit rate represents a speed of 200 metersmin

Does the graph represent a proportional relation

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

The graph

We can see that the lines pass through the origin

This means that the graph is a proportional relationship

The unit rate of the relation

From the graph. we have

(x, y) = (2, 400)

So, the unit rate is

Rate = 400/2

Rate = 200

What the unit rate represents

The interpretation of this is that Mason's speed is 200 meters per minute

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is -2-3=-2+-3 justify your answer

Answers

Answer:

- 2 - 3 is the same thing as -2 + -3. This is because taking away 3 is the same thing as adding - 3. -2 -3 is just a more simplified version of -2 + -3.

Hope this helps!

Answer is yes, they are the same

Explanation

The sum of two negative numbers always results in a negative number. This can be explained with the Number Line Rule. To add negative numbers we move to the left on the number line.
You can also use the “+” sign as an “and” so -2 and -3 = -5

Find the weight in pounds of a 140-kilagram person round to nearest hundredth

Answers

Answer: 308.65

:) Good luck

[tex]1 \ \text{lb} = 0.45359 \ \text{kg}[/tex]

[tex]140 \ \text{kg} \times (1 \ \text{lb})\div(0.45359 \ \text{kg}) = 308.65 \ \text{lb}[/tex]

[tex]\bold{140 \ kg=308.65 \ lb}[/tex]

Julie and Hammad each make a glass of orange drink. Julie uses 42ml of juice and 210ml of lemonade. Hammad uses 30ml of juice and 170ml of lemonade. Who has made their drink stronger in taste?

Answers

Answer:

Hammad has made his drink stronger in taste than Julie.

Step-by-step explanation:

We need to compare the ratio of juice to lemonade in each drink.

Julie's drink has a ratio of 42ml juice to 210ml lemonade, which simplifies to 1:5.

Hammad's drink has a ratio of 30ml juice to 170ml lemonade, which simplifies to 3:17.

To compare the strength of their drinks, we need to compare the ratios of juice to lemonade. Since a higher ratio of juice to lemonade indicates a stronger taste, we can see that Hammad's drink has a stronger taste, since his ratio of juice to lemonade is higher than Julie's.

Therefore, Hammad has made his drink stronger in taste than Julie.

A triangle has a base of 8 cm and a height of 12 cm.

What is the area of the triangle?
________________________________
(reporting wrong/spam answers)
(giving brainliest to the correct answer)
(No picture of the question was given)
________________________________

Answers

Answer:

A = 48 cm²

Step-by-step explanation:

A = (1/2)bh

A = (1/2)(8 cm)(12 cm)

A = 48 cm²

Answer:

48cm^2

Step-by-step explanation:

8×12=96

96÷2=48cm^2

A recipe calls for 2 cups of peanuts for 3 cups of flour. Using the same recipe, how many cups of flour will you need for 5 cups of peanuts?

Answers

You are going to make two and a half recipes
2 + 2 + 1 = 5 cups of peanuts
3 + 3 + 1.5
= 7.5
Yo are going to need 7.5 cups of flour for the 5 cups of peanuts

The scheme that you thought of is to start saving 10% of your allowance in the first week of every month, then add 10% more every week for the 3 weeks. And the cycle goes on for 12 months of a year. If you're weekly allowance is 500, how much will you be able to earn after a year? Show your computation here

Answers

Using percentage concept, we would have saved 2784.6 dollars after a year

How much is saved at the end of the year

To calculate how much you will have saved after a year, we can break down the savings for each week of each month, and then add up the total. Here's how it works:

We can use percentage to calculate how much is saved each week

In the first week of each month, you save 10% of your weekly allowance, which is 10 percent of 500 = 50 dollars.

In the second week of each month, you save 10% more than the previous week, which is 10% of (500 + 50) = 55 dollars.

In the third week of each month, you save 10% more than the previous week, which is 10% of (500 + 50 + 55) = 60.5 dollars.

In the fourth week of each month, you save 10% more than the previous week, which is 10% of (500 + 50 + 55 + 60.5) = 66.55 dollars.

So in total, you save 50 + 55 + 60.5 + 66.55 = 232.05  dollars per month.

Over the course of a year, you will have saved 232.05 dollars per month * 12 months = 2784.6 dollars.

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When Silvia feeds her cat, she places food in

3 different locations. She wondered if her cat was equally likely to eat first from each of the locations, so she tallied which location her cat chose first in a sample of

30 feedings. Here are the results along with a chi-square goodness-of-fit test:

-------------------------kitchen-----bedroom-----Living room

Hypothesized:-----0.333--------0.333---------0.333

Observed-----------13--------------13--------------4

Expected------------10--------------10-------------10

Components-------0.9------------0.9------------3.6

chi-squared statistic = 5.4, df = 2

p-value =0.067

Assume that all conditions for inference were met.

At the 0.05 significance level, what should Silvia conclude about her cat's feeding preferences?

A: There is sufficient evidence to conclude that her cat prefers to eat first from some locations more than others.


B: There's not enough evidence to conclude that her cat prefers to eat first from some locations more than others.


C: There is sufficient evidence to conclude that her cat is equally likely to eat first from each of the locations.


D: No conclusions can be made from this test, because one of the observed counts is too low for the calculations to be accurate.


for my khan bros (ignore this part):

When Silvia feeds her cat, she places food in
3
33 different locations. She wondered if her cat was equally likely to eat first from each of the locations, so she tallied which location her cat chose first in a sample of
30
3030 feedings. Here are the results along with a chi-square goodness-of-fit test:
Location Kitchen Bedroom Living room
Hypothesized
0.333
0.3330, point, 333
0.333
0.3330, point, 333
0.333
0.3330, point, 333
Observed
13
1313
13
1313
4
44
Expected
10
1010
10
1010
10
1010
Components
0.9
0.90, point, 9
0.9
0.90, point, 9
3.6
3.63, point, 6

2
=
5.4
,
DF
=
2
χ
2
=5.4, DF=2\chi, squared, equals, 5, point, 4, comma, start text, space, D, F, end text, equals, 2
P-value
=
0.067
P-value=0.067start text, P, negative, v, a, l, u, e, end text, equals, 0, point, 067
Assume that all conditions for inference were met.
At the

=
0.05
α=0.05alpha, equals, 0, point, 05 significance level, what should Silvia conclude about her cat's feeding preferences?
Choose 1 answer:
Choose 1 answer:

Answers

B .The results of the chi-square goodness-of-fit test, with a chi-squared statistic of 5.4 and a p-value of 0.067, Silvia cannot reject the null hypothesis that her cat is equally likely to eat first from each of the three locations at the 0.05 significance level.

Therefore, the correct answer is B: There's not enough evidence to conclude that her cat prefers to eat first from some locations more than others. It is important to note that while the p-value is relatively close to the significance level of 0.05, it does not meet the threshold for statistical significance, and the sample size may not be large enough to draw definitive conclusions about the cat's feeding preferences.

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Answer: There's not enough evidence to conclude that her cat prefers to eat first from some locations more than others.

Step-by-step explanation: Since the P-value is greater than the significance level, we can't reject the null hypothesis. In this context, the null hypothesis is that cat is equally likely to choose each of the locations. (Got it right on Khan academy)

Please help me Geometric Sequences

Answers

Answer: 7th term in the sequence is 729.


Step-by-step explanation:

The given sequence is a geometric sequence with the first term being 1 and the common ratio being -3.

To find the 7th term, we can use the formula for the nth term of a geometric sequence:

a_n = a_1 * r^(n-1)

where a_1 is the first term, r is the common ratio, and n is the term number we want to find.

Plugging in the values we have, we get:

a_7 = 1 * (-3)^(7-1)
= 1 * (-3)^6
= 1 * 729
= 729

*Brady has a bankruptcy on his credit report, so he pays higher interest rates on his current loans. He calculates that the extra money he pays in additional interest each year, if invested at the rate of 3% for one year, could earn him simple interest totaling $210. How much does Brady pay in additional interest each month?
Hint: Use the simple interest formula I=P*r*t where P is principal amount, r is rate, and t is time. In this case, for Brady I is the simple interest $210, P is what you are trying to find, r is the rate of 3% (make sure to convert to decimal), and t is time in years, 1 year.

After you find P, divide it by 12 and that is your answer. Round it to the nearest cent.

Answers

Brady pays an additiοnal interest οf $583.33 each mοnth.

What is the interest?

Tο calculate simple interest, multiply the principal amοunt by the interest rate and the time. The fοrmula written οut is "Simple Interest = Principal x Interest Rate x Time." This equatiοn is the simplest way οf calculating interest.

Let x be the additiοnal interest Brady pays each mοnth.

Since there are 12 mοnths in a year, the tοtal additiοnal interest he pays in a year is 12x.

Accοrding tο the prοblem, if Brady invests this additiοnal interest at the rate οf 3% fοr οne year, he will earn $210 in simple interest. Using the simple interest fοrmula, we have:

I = Prt

210 = 12x0.031

Simplifying this equatiοn, we get:

210 = 0.36x

Dividing bοth sides by 0.36, we get:

x = $583.33

Therefοre, Brady pays an additiοnal interest οf $583.33 each mοnth.

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Evaluate 11.1x + 10.7y when x = 7 and y = 8 11.1) + 10.7 +85.6​

Answers

Answer:

To evaluate 11.1x + 10.7y when x = 7 and y = 8, we simply substitute these values into the expression and simplify:

11.1(7) + 10.7(8) = 77.7 + 85.6 = 163.3

Therefore, 11.1x + 10.7y evaluates to 163.3 when x = 7 and y = 8.

Step-by-step explanation:

Please help me Graph this in a line graph(economics)

The Pound to Australian Dollar (GBP/AUD) exchange rate has been going up besides the drop in UK business optimism. The CBI business optimism index dropped from 0 to -22 in the first quarter, which shows the negative impact of the recent lockdown. However, this had been changed by the idea of greater US fiscal stimulus measures and the global economic outlook improving. On the other hand, the Australian Dollar (AUD) struggled to find support despite the December unemployment rate decreasing from 6.8% to 6.6%. This shows that the labor market remains elevated by previous trends, weighing on AUD exchange rates. The retail sales trends for December is expected to show a -2.5% monthly contraction, signaling a continued impact of Covid-19. The UK PMIs could also have an impact on the GBP/AUD exchange rate, with signs of the UK economy likely to limit any potential gains.

Answers

The correct answer is interval 2. A function is a rule that relates each element in one set, called the domain, to exactly one element in another set, called the range.

What is function?

It is a mathematical expression that takes an input, performs a calculation and produces an output.

In order to determine if dy/dx>0 and d2y/dx2<0 over interval 2, we must take the first and second derivatives of the function y=f(x). The first derivative of the function is dy/dx=2x-3 and the second derivative of the function is d2y/dx2=2.

Now, if we look at the graph, we can see that the function is increasing from 0 to 3 and then decreasing from 3 to 6. This means that over interval 2, which is from 3 to 6, the first derivative, dy/dx, must be negative. This means that dy/dx<0 over interval 2.

Furthermore, the second derivative, d2y/dx2, must be negative over interval 2 since the graph is decreasing over this interval. This means that d2y/dx2<0 over interval 2.

Therefore, the correct answer is interval 2 since it is the only interval for which both dy/dx>0 and d2y/dx2<0 are true.

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how can you help me understand is .0362 less than .05

Answers

Answer: Please refer to the step by step explanation :)

Step-by-step explanation:

To understand how .0362 is less than .05, let’s pretend the 6 and the 2 don’t exist for right now. So, now we have .03 and .05. Since three is a lesser number than five, this has to mean .03 is less than .05. Reapplying the 6 and 2, .0362 must be less than .05.

Can someone help me solve this

Answers

Answer:

2520

because we need to multiply all the lengths to take out volume of piramid

Lin says that 4÷3/4 equals 5 1/4 because there are five groups of 3/4 and 1/4 left. Do you agree with Lin?

Answers

no, keep change flip, 4/1 x 4/3=16/3, that reduced is 8

The result is 5 1/3, not 5 1/4 as Lin suggested.

No, I don't agree with Lin's statement. Lin's explanation is incorrect.

When evaluating the expression 4 ÷ (3/4), we need to remember the order of operations, which states that we should perform the division before the multiplication.

To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 3/4 is 4/3. Therefore:

4 ÷ (3/4) = 4 * (4/3)

Now we can simplify the expression:

4 * (4/3) = (4 * 4) / 3 = 16 / 3

The result, 16/3, is an improper fraction. To convert it to a mixed number (a whole number and a fraction), we divide the numerator (16) by the denominator (3):

16 ÷ 3 = 5 with a remainder of 1

The quotient is 5, and the remainder is 1. Therefore, the result is 5 1/3, not 5 1/4 as Lin suggested.

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A neighborhood group goes to the movies every Saturday night. Last week, they purchased 29 adult tickets and 17 youth tickets for $254. This week they purchased 21 adult tickets and 22 youth tickets for $213. Find the cost of one adult ticket.​

Answers

The cost of one adult ticket is $7.

What is the cost of one adult ticket?

The first step is to set up a pair of linear equations that represent the information in the question.

29a + 17y = 254 equation 1

21a + 22y = 213 equation 2

Where:

a = cost of one adult tickety =  cost of one youth ticket

The elimination method would be used to solve the equations

Multiply equation 1 by 22:

638a + 374y = 5588 equation 3

Multiply equation 2 by 17:

357a + 374y = 3621 equation 4

Subtract equation 4 from equation 3

1967 = 281a

Divide both sides of the equation by 281

1967 / 281 = a

a = 7

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Laars earns an annual salary of $90,000. Determine his gross earnings per pay period under each of the following payment frequencies: a. Monthly b. Semi-monthly c. Biweekly d. Weekly

Answers

Answer:

To determine Laars' gross earnings per pay period under different payment frequencies, we need to divide his annual salary of $90,000 by the number of pay periods in a year for each frequency.

a. Monthly: Laars will receive 12 paychecks per year, one per month.

Gross earnings per pay period = $90,000 / 12 = $7,500 per month

b. Semi-monthly: Laars will receive 24 paychecks per year, two per month.

Gross earnings per pay period = $90,000 / 24 = $3,750 per semi-monthly period (twice per month)

c. Biweekly: Laars will receive 26 paychecks per year, one every two weeks.

Gross earnings per pay period = $90,000 / 26 = $3,461.54 per biweekly period (every two weeks)

d. Weekly: Laars will receive 52 paychecks per year, one per week.

Gross earnings per pay period = $90,000 / 52 = $1,730.77 per weekly period (every week)

Therefore, Laars' gross earnings per pay period are $7,500 per month, $3,750 per semi-monthly period, $3,461.54 per biweekly period, and $1,730.77 per weekly period.

Would a triangle with a vertical length of 6 and a horizontal length of 10 have the same slope as the blue and red triangles shown in the graph

A: yes, the slopes would be the same

B: No, the slope of the new triangle would be 2 : 4

C: no, the slope of the new triangle would be 2 : 5

D: no, the slope of the new triangle would be 3 : 5

Answers

Therefore , the solution of the given problem of slope comes out to be option D 3:5 is the correct slope.

Describe slope.

The slope of a line determines how steep it is. Gradient overflow is a condition that can occur in equations based on gradients. By dividing the total of the run (width difference) and emergence (climbing distinction) among both two points, one can calculate the slope. The fixed path problem is modelled using the equation y = mx + b with the hill variant. where slope is millimeters, a = bc, and the location of the line's y-intercept.

Here,

Given :

Vertical length = 6

and

horizontal length = 10

=> Slope: Y/X=6/10=0.6

=>  6/10 =  3/5(D)

Thus , option D 3:5 is the correct slope.

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Answer:

A

Step-by-step explanation:

The coefficient of variation for a poisson distribution with A=5 is

Answers

The coefficient of variation for a Poisson distribution with A=5 is equal to 1/A, which is equal to 0.2.

What is Poisson distribution?

Poisson Distribution is a type of probability distribution used for independent events which occur at a known average rate within a given interval of time or space. It is used to model the number of times an event is likely to occur within a specified period of time or space. It is used in fields such as healthcare, quality control, finance, and engineering.

Coefficient of variation (CV) is a measure of relative variability or dispersion. It is a measure of the relative dispersion of a set of data points around its mean. It is calculated by dividing the standard deviation of the data points by the mean.

The coefficient of variation for a Poisson distribution with A=5 is equal to 1/A, which is equal to 0.2. This means that the relative variability of a Poisson distribution with A=5 is 0.2. This is because the standard deviation of a Poisson distribution is equal to the square root of the mean, and in this case, the mean is 5. Therefore, the standard deviation is the square root of 5, or 2.236. When divided by the mean, the coefficient of variation is 0.2.

In general, the coefficient of variation is used to compare the variability of two different datasets. A low coefficient of variation indicates that the data points are relatively close to the mean and that there is not much variability in the data. A high coefficient of variation indicates that the data points are further away from the mean and that there is a greater amount of variability in the data.

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Likert scale A survey attempted to evaluate student interest about a range of classroom topics. Students were asked to rank their interest in various potential topics according to this scale: 10 if they felt a topic was very interesting if they felt a tapic was above average interest If they felt a topic was below average interest if they felt a topic was not worth studying in class 6 4 1 Please note that only four responses were permitted: 10, 6, 4, and 1. Is this an acceptable survey design? Explain your answer. Answer​

Answers

The survey design that we have here is not an acceptable standard survey design for research.

Why is this not an acceptable survey design?

This survey design has limitations and may not be the most optimal way to measure student interest in classroom topics. Here are some of the reasons why:

Limited response options: By only allowing four responses, the survey restricts the range of possible responses that students can give. For instance, some students may feel that a topic is somewhat interesting, but not interesting enough to warrant a score of 6. Similarly, some students may feel that a topic is not worth studying, but not to the extreme level of giving it a score of 1. This design does not account for such nuances in student opinions.

Lack of neutral option: The survey does not include a neutral option such as "no opinion" or "undecided". This means that students who do not have a strong opinion about a topic may be forced to pick a score that does not accurately reflect their level of interest.

Lack of context: The survey does not provide any context or information about the topics being evaluated. Without such information, students may base their scores on assumptions or incomplete knowledge about the topics, which may not accurately reflect their actual level of interest.

Lack of reliability and validity: The survey's reliability and validity may be questionable. The limited response options and lack of context may lead to responses that are not reliable or valid measures of student interest.

In conclusion, while this survey design may be simple and easy to administer, it has limitations that make it less than ideal for measuring student interest in classroom topics. A more comprehensive survey design that includes a wider range of response options and provides contextual information about the topics may provide more reliable and valid results.

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Select the expression that results in a rational number.

Answers

The answer is A - because it equals 10

Answer:

The answer is A

Step-by-step explanation:

thats all

Which is the bette buy 3 pints of

at $3.60 or 6 pints are all at $8.10

Answers

Answer:

It is better to buy 6 pints at $8.10

Step-by-step explanation:

To compare the cost per pint in each option, we can divide the total cost by the total number of pints.

For the first option, buying 3 pints at $3.60, the cost per pint is shown by the following:

3 pints ÷ $3.60 = $0.83 / pint

For the second option, buying 6 pints at $8.10, the cost per pint is shown by the following:

6 pints ÷ $8.10 = $0.74 / pint

Therefore, buying 6 pints at $8.10 is less expensive per pint than buying 3 pints at $3.60. Each pint when buying 3 at a time costs $0.83 whereas each pint when buying 6 at a time costs $0.74.

PLEASE HELP!!! ASAP, THANK U

Answers

It mentions that x is less than and equal to 0

Find the Pearson correlation coefficient r for the given points. Round any intermediate calculations to no less than six decimal places, and round your final answer to three decimal places.
(1,6),(2,10),(3,4),(4,4),(5,8),(6,2),(7,2)

Answers

In response to the query, we can state that Therefore, the Pearson correlation coefficient r for the given points is approximately -0.758.

what is correlation?

The relationships between various variables are described by correlations. Expressions might be strong, weak, positive, or negative. 1 = Correlation does not always imply causation. Correlation is a statistical indicator of the linear relationship between two variables (that is, do they change at a constant rate).

1 6 -3 1 9 1 -3

Σx = 28

Σy = 36

n = 7

Therefore, the correlation coefficient r for the given points is approximately -0.758.

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please help me I need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

reflection around the y-axis

Step-by-step explanation:

you really don't see that the picture just flipped from left to right and vice versa (around a central vertical mirror line through the black center dot) ?

to make it simple I just declare this line to be the y-axis.

Choose True or False for each statement.

a. The numbers 0.3 and 0.3. . . are equal to the same fraction.
b. The number 0.111000111000 . . . is a repeating decimal.
c. The fraction 1/9 is equal to a repeating decimal.
d. The fraction 2/11 is equal to 0.1818 . . . .

Answers

Answer:

a. True. Both 0.3 and 0.3... represent the decimal expansion of one-third, which is equivalent to the fraction 1/3.

b. True. The number 0.111000111000... is a repeating decimal, with a repeating block of three digits (111) that starts repeating from the fourth decimal place.

c. True. The fraction 1/9 is equal to the repeating decimal 0.1111..., where the digit 1 repeats infinitely.

d. True. To convert the fraction 2/11 to a decimal, we can perform long division. We get a repeating decimal expansion of 0.181818... where the digits 18 repeat infinitely. Therefore, the statement is true.

Step-by-step explanation:

Other Questions
A box has a base area of 1.1 m2. The box is placed on the ground and exerts a force of 4.5 kN. What pressure is the force applied with? Give your answer in kN/m2 and rounded to 2 dp. Interest rates on 4-year Treasury securities are currently 6.7%, while 6-year Treasury securities yield 7.25%. If the pure expectations theory is correct, what does the market believe that 2-year securities will be yielding 4 years from now? 5. Diego is building a fence for a rectangular garden. It needs to be at least 10 feetwide and at least 8 feet long. The fencing he uses costs $3 per foot. His budget is$120. He wrote some inequalities to represent the constraints in this situation:1) f = 2x + 2y2) x 103) y 84) 3f 120a. Explain what each equation or inequality represents. A textbook store sold a combined total of 288 history and chemistry textbooks in a week. The number of chemistry textbooks sold was 72 less than the number of history textbooks sold. How many textbooks of each type were sold? The future earnings, dividends, and common stock price of Carpetto Technologies Inc. Are expected to grow 7% per year. Carpetto's common stock currently sells for $23. 00 per share; its last dividend was $2. 00; and it will pay a $2. 14 dividend at the end of the current year. a) Using the DCF approach, what is its cost of common equity ? b) If the firm's beta is 1. 6, the risk-free rate is 9%, and the average return on the market is 13%, what will be the firm's cost of common equity using the CAPM approach ? c) If the firm's bonds earn a return of 12%, based on the bond-yield-plus-risk-premium approach, what will be rs ? Use the midpoint of the risk premium range discussed in Section 10-5 in your calculations. d) If you have equal confidence in the inputs used for the three approaches, what is your estimate of Carpetto's cost of common equity ? Here is a diagram of a person standing next to a lorry.The diagram shows two centimetre rulers.The person and the lorry are drawn to the same scale.The lorry is approximately 11.2 m in length.Using the scale diagram, estimate the height of the person in metres. After completing steps 1 through 5 in your procedures, predict the number and locations of watersheds that will form in your watershed model. For example:Based on the positions of landscape features in my watershed model, I predict there will be ________ number of watersheds located at these locations in my model: __________________________________. How to write the correct solution of 5a^2-25b^ A carpet is placed in the middle of a room 15m long and 12m broad so that it leaves a uniform width of 1m around it . find the area and the cost of the carpet at Rupee 500 square meter define the term "post school destination" and state three reasons why thoughts about post school destination could be stressful for grade 12s Question - Identify a person to interview. This can be a friend, family member, colleague etc. You can talk to a cashier, a manager, a business owner, etc. and interview him in respect to your assigned OB topic "Conflict".Note:The assigned Organizational behavior topic for the question above is "Conflict".Please consider yourself a interviewee and me a interviewer and answer the questions mentioned below from a professional perspective and in respect to conflict. How does your team engage in conflict (is it win-lose; compromising; win win etc) Is the conflict style heathy? Please explain. What would you change about how team members engage in conflict? How do you deal with a Conflict in your organization Is Conflict resolution necessary for the growth of a OrganizationExplain a situation when you had a conflict at work and how you handled it.How do you handle disagreements when working as part of a team? Provide an example.Explain a situation when you disagreed with your boss and how you handled it. When is it important as a leader or superior to intervene in a conflict. Youve noticed that a team member is aggressive or arrogant toward the rest of the team. How would you approach this person? what do you make of these different tools? What value could the OECD's Your Better Life Index have in a development context? And if you were truly in the driver's seat, how would you define and measure progress? Tell us what you think. dr. jones is participating in a clinical trial sponsored by abb a device company dr. john submitted the required documents for irb/ec approval on the irb/easy required significant changes to consult documents dr. john should When the litres are 16 how many litres are 3/4 of the tank capacity? Because of the events in the story's plot, Grandfather Goose's mission at the end of the story is to In the current year, Azure Company has $350,000 of net operating income before deducting any compensation or other payment to its sole owner, Sasha. In addition, Azure has interest on municipal bonds of $25,000. Sasha has significant income from other sources and is in the 37% marginal tax bracket.Based on this information, determine the income tax consequences to Azure Company and to Sasha during the year for each of the following independent situations. (Ignore the deduction for qualified business income and the 3.8% Medicare surtax on net investment income.)The rates on qualified dividends are 0%, 15% and 20%.If an amount is zero, enter "0".a. Azure is a C corporation and pays no dividends or salary to Sasha.Azure Company, as a C corporation, has taxable income of $350,000corporate income tax of $Sasha has taxable income of $0from Azure.B.Azure is a C corporation and pays $75,000 of salary to Sasha. (Ignore payroll taxes.)The salary paid to Sasha isdeductible by Azure Company resulting in taxable income of $275,000and corporate income tax of $. Sasha incurs income tax of $27,750with respect to the salary she received during the year. If a tennis racquet is briefly in contact with a 0.058 kg tennis ball initially traveling at -9.0 m/s* and then (after contact) the tennis ball moves with a velocity of 9.0 m/s.* If the time the racquet is in contact witht the ball is 0.004 seconds, what is the average force of the racquet on the ball? *Negative velocities mean towards the left and positive velocities mean towards the right. Aubrey wants to know how students in her school feel about the new intramural sports program being developed. She randomly selects the names of 100 students and e-mails them a survey. She waits for responses and records data from the 32 surveys that are returned to her. Is her sample biased? Explain. What is the distance of notes in the lower interval in a major chord?A. 2 notesB. 5 notesC. 4 notes determine the value of b- 4ac 12x + 5x -2=0