What is the area of the polygon given below

What Is The Area Of The Polygon Given Below

Answers

Answer 1
I think the answer is D

Related Questions

The two cones are similar. The smaller cone has a

surface area of 11. 74 inches

Complete the last step to determine the surface area of

the larger cone

3. 5 in.

1. The scale factor of the larger to the smaller is

Sor

2. The surface area will change by the square of the

scale factor, which is

3. Let the surface area of the larger cone be x.

Then, the proportion is = 11

4. Solve for x and round to the nearest hundredth.

The surface area of the larger cone is about

inches

Answers

The surface area of the larger cone is about 41.09 square inches.

To determine the surface area of the larger cone, we can set up a proportion based on the scale factor between the two cones. Let's call the scale factor "k".

From the given information, we know that the surface area of the smaller cone is 11.74 square inches and the surface area of the larger cone is unknown (let's call it "x" square inches).

Using the scale factor, we can write the proportion:

(11.74 / x) = (3.5 / 3.5)

Simplifying the proportion, we have:

11.74 = (x / 3.5)

To find the value of "x", we can cross-multiply:

x = 11.74 * 3.5

x ≈ 41.09

The surface area of the larger cone is approximately 41.09 square inches, rounded to the closest hundredth.

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This is confusing me please help

Answers

Answer:

It’s the last one

Step-by-step explanation:

Did this before on a test

Gilbert's weekly pay in dollars, D. can be represented by the function D = 13.5h, where h represents the number of hours
he works during a week.

Answers

Answer:

she will have 27,216 dollars after 12 week

27,216 per week

Step-by-step explanation:

12 week has (12*7*24)=2,016 hours

D = 13.5h    D = 13.5*(2,016 )=27,216

A cylindrical tank holds 352 cu. ft. of water. The height of the tank is 7 ft. Find the
radius of the tank.
pls help me thx and show your work

Answers

Answer:

0.3334 ft

Step-by-step explanation:

Measure the height and radius of the tank. The radius is the distance from the center of the tank to its outer edge. Another way to find the radius is to divide the diameter, or width, by two. Square the radius by multiplying the radius times itself and then multiply it by 3.1416, which is the constant pi.

Given height and volume: r = √(V / (π * h)),Given height and lateral area: r = A_l / (2 * π * h),Given height and total area: r = (√(h² + 2 * A / π) - h) / 2,Given height and diagonal: r = √(h² + d²) / 2,Given height and surface-area-to-volume ratio: r = 2 * h / (h * SA:V - 2),Given volume and lateral area: r = 2 * V / A_l,Given base area: r = √(A_b / (2 * π)),Given lateral area and total area: r = √((A - A_l) / (2 * π)).

100 POINTSSS PLZZZZZZZZZZZ

Answers

Answer:

The correct anser is B. (i think. sorry if wrong) have a wonderfull day. dont let them bring you down. your amazing just the way you are.

Step-by-step explanation:

Step-by-step explanation:

\blue{\large \rightarrow }\: \boxed{ \sf{ \frac{1}{v} + \frac{1}{u} = \frac{1}{f} }}

-2+ 3(1-4)-2 what to do ???​

Answers

Answer:

-13

Step-by-step explanation:

−2+3(1−4)−2

=−2+(3)(−3)−2

=−2+−9−2

=−11−2

=−13

Step-by-step explanation:

Is this ok

If its correct, please don't forget to like and mark me

Dada la recta L1:x+(m+2)y=n−5 pasa por el punto (1,2) y que es paralelo a la recta L2:3y=2x−4. Determine m+n .

Answers

Answer:

-1/2

Step-by-step explanation:

The point slope form of equation of a line is expressed as;

[tex]y - y_{0} = m(x-x_0)[/tex]

m is the slope

(x₀, y₀) is the point on the line

Given

(x₀, y₀) = (1, 2)

Given the equation 3y = 2x - 4

Rewrite the equation

y = 2/3x - 4/3

mx = 2/3x

m = 2/3

The slope is 2/3

Substitute the slope and the point into the formula above

[tex]y -y_0 =m(x-x_0)\\y - 2 = 2/3(x - 1)\\3(y-2) = 2(x-1)\\3y - 6 = 2x - 2\\Swap\\2x - 2 = 3y - 6\\2x - 3y = -6 + 2\\2x - 3y = -4\\x - 3/2 y = -4/2\\x - 3/2 y= -2[/tex]

Compare the expression to x+(m+2)y=n−5

m + 2 = -3/2

m = -3/2 - 2

m = -7/2

Similarly

n - 5 = -2

n = -2 + 5

n = 3

m + n = -7/2 + 3

m + n = -1/2

hence the sum of m and n is -1/2

The Bungling Brothers Circus is in town and you are part of the crew that

is setting up its enormous tent. The center pole that holds up the tent

is 70 feet tall. To keep it upright, a support cable needs to be attached to

the top of the pole so that the cable forms a 60° angle with the ground.


a) How long is the cable?


b) How far from the pole should the cable be attached to the ground?

Answers

Answer:

a. 80.83 ft b. 40.42 ft

Step-by-step explanation:

Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.

a) How long is the cable?

Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,

sinФ = h/L

L = h/sinФ

L = 70 ft/sin60°

L = 70 ft/0.8660

L = 80.83 ft

b) How far from the pole should the cable be attached to the ground?

Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,

tanФ = h/x

x = h/tanФ

x = 70 ft/tan60°

x = 70 ft/1.7321

x = 40.42 ft

The length of the cable is 80.83 ft and the distance from the pole should the cable be attached to the ground is 40.42 ft and this can be determined by using the trigonometric function.

Given :

The Bungling Brothers Circus is in town and you are part of the crew that  is setting up its enormous tent. The center pole that holds up the tent  is 70 feet tall. To keep it upright, a support cable needs to be attached to  the top of the pole so that the cable forms a 60° angle with the ground.

a) The trigonometric function can be used in order to determine the length of the cable.

[tex]\rm sin\theta=\dfrac{h }{L}[/tex]

where h is the height of the pole, L is the length of the pole, and [tex]\theta[/tex] is the angle from the ground.

Substitute the known terms in the above expression.

[tex]\rm L=\dfrac{h }{sin\theta}[/tex]

[tex]\rm L = \dfrac{70}{sin60}[/tex]

L = 80.83 ft.

b) The trigonometric function can be used in order to determine the distance from the pole should the cable be attached to the ground.

[tex]\rm tan \alpha =\dfrac{h}{x}[/tex]

where x is the distance between pole and cable.

Substitute the known terms in the above expression.

[tex]\rm x = \dfrac{70}{tan 60 }[/tex]

x = 40.42 ft.

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if two samples are selected from the same population, under what circumstances are the two samples guaranteed to have exactly the same t statistic?

Answers

If two samples are selected from same population, then two samples are  guaranteed to have exactly same t-statistic is (d) If samples are same-size and have same-mean and have same-variance.

If two samples are selected from the same population and have the same size, same mean, and same variance, the t statistic calculated for both samples will be exactly the same.

The t statistic is computed using the sample means, sample variances, and sample sizes. When these values are identical for both samples, the calculations for the t-statistic will yield the same result.

This scenario ensures that the t-statistic, which is used for hypothesis testing or constructing confidence intervals, will be consistent across the two samples.

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

If two samples are selected from the same population, under what circumstances are the two samples guaranteed to have exactly the same t statistic?

(a) If the samples are the same size and have the same variance.

(b) If the samples are the same size and have the same mean.

(c) If the samples have the same mean and the same variance.

(d) If the samples are the same size and have the same mean and have the same variance.

A loan of R 180 000, granted at 15,6% p.a. compounded monthly, is amortised by means of regular equal monthly payments of R 6 300 and a final payment F (F < R 6 300) made one month after the last equal payment of R 6 300. If the first payment is made one month after the loan is granted, then the final payment F , (to the nearest cent)

Answers

The final payment F, made one month after the last equal payment, for a loan of R 180,000 at an interest rate of 15.6% p.a. compounded monthly with regular equal monthly payments of R 6,300, is R 6,345.94 (to the nearest cent).

To calculate the final payment F, we need to determine the remaining balance after the last equal payment of R 6,300. We can consider it as the present value of the remaining debt, including one month of interest.

First, we calculate the monthly interest rate by dividing the annual interest rate by 12:

r = 15.6% / 12 = 0.013

Next, we calculate the remaining balance as the present value of the remaining debt after the last equal payment:

Remaining balance = R 180,000 * (1 + r)^(n_remaining) - R 6,300

Where: n_remaining = Number of remaining months after the last equal payment (1 month)

Remaining balance = 180,000 * (1 + 0.013)^1 - 6,300 = R 180,000 * 1.013 - 6,300 = R 180,000 * 1.013 - 6,300 = R 182,340

Finally, we subtract the remaining balance from the final payment to determine the value of F:

F = Remaining balance - R 6,300 = R 182,340 - 6,300 = R 6,345.94 (to the nearest cent)

Therefore, the final payment F, made one month after the last equal payment, is R 6,345.94 (to the nearest cent).

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Urgent!!!!!

12. Arrange the stages of municipal council election by writing 1-7 in the
correct place. (2 marks each)
Stages in municipal elections
Girst (1) to last (17)
People going to the polling station to
Councilors campaign for election.
The number of votes for each division
is counted.
Voters vote by secret ballot.
Candidates nominated by two main
political parties.​

Answers

provide the passage or a picture of it please thx

The drawing below shows circle B and circle E.Which equation best describes the relationship between BC and EF?

Answers

Answer:

BC = 3(EF)

Step-by-step explanation:

The question stated that AC is 3 times the length of DF.

Answer:

BC = 3(EF)

Step-by-step explanation:

Remember that AC is 3 times the length of DF

What did the girl mushroom say about the boy mushroom after their first date

Answers

Answer:

what’d she say? xD

Step-by-step explanation:

The solution is, She said that he was a fun gi, the girl mushroom say about the boy mushroom after their first date.

What is mushrooms?

A mushroom is the reproductive structure produced by some fungi. It is somewhat like the fruit of a plant, except that the "seeds" it produces are in fact millions of microscopic spores that form in the gills or pores underneath the mushroom's cap.

here, we have,

She said that he was a fun gi.

This is a pun because fungi is a mushroom and here it is a play on words because of "fun guy" sounding the same as "fun gi".

Since they are both mushrooms, the joke stands and these types of puns are very common among people because of their simplicity.

The solution is, She said that he was a fun gi, the girl mushroom say about the boy mushroom after their first date.

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determine which rate should be used to complete the conversion: 12 gallons per hour to gallons per minute.
A. 1 hour per 60 minutes
B. 60 minutes per 1 hour

Answers

B.....................

f ( x ) = − x 2 − 12 Find f ( − 3 )

Answers

Answer:

f(-3)=-21

Step-by-step explanation:

f(x)=-x2-12

f(-3)=-(-3)2-12

f(-3)=-9-12

f(-3)=-21

Answer:

-3

Step-by-step explanation:

x=-3 substitute in the equation

+3 squared-12=-3

la suma de cuatro y el producto de tres y un número x

Answers

Answer:

4+3x esa es la suma de cuatro y el producto de tres y un número x

Find the value of x. Round to the
nearest tenth.
X
37
6
X=
Enter

Answers

Answer:

x ≈ 4.5

Steps:

tan(37°) = 0.75..

tan(37°) = x/6

x/6 = 0.75..

x = 0.75.. × 6

x = 4.52.. ≈ 4.5

Answer:

The answer is 4.5

Step-by-step explanation:

x =4.5

Fill in 4.5

in the one-way anova f test for comparing several means, the alternative hypothesis states that group of answer choicesthe population means are not all equalthe sample means are not all equalthe sample means are all differentthe sample means are all equalthe population means are all differentthe population means are all equal

Answers

The alternative hypothesis in the one-way ANOVA F test states that the population means are not all equal.

In the one-way ANOVA F test, we are comparing the means of several groups or categories. The null hypothesis assumes that all population means are equal, while the alternative hypothesis suggests that there is a difference between at least two of the population means.

The alternative hypothesis can be stated as "the population means are not all equal," indicating that there is variability or disparity among the different groups being compared.

By rejecting the null hypothesis and accepting the alternative hypothesis in the one-way ANOVA F test, we conclude that there is evidence to suggest that the means of the different groups are not equal, indicating some form of group differentiation or distinction in the underlying populations.

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if f(x) = x^2 which equation represents function g?
OA g(x) = f(2x)
OB. g(x) = f(4x)
Oc. g(x) = 2f(x)
OD. g(x) = f(1/2x)

Answers

Answer:

if f(x) = x^2 which equation represents function g?

Step-by-step explanation:

maby ( C) am not sure

The equation represents the function is g(x) = 3f(x).

What is Function?

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

We have,

Function, f(x) = x²

The function g(x) is compressed horizontally by a factor of 3, to get the function g(x)

g(x) = kf(x)

Where k = 3.

So, we have:

g(x) = 3f(x)

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(PLZ I NEED HELP QUICLY) Angela lives in a remote area serviced by only two cell phone towers. Tower 1 is located 5 miles west and 2 miles south of her home and transmits a signal for 12 miles. Tower 2 is located 8 miles east and 7 miles north of her home and transmits a signal for 10 miles. Consider the location of Angela’s house to be (0, 0) on a coordinate grid. The system of inequalities represents this scenario.
Angela travels to a friend’s house, which is 4 miles east and 8 miles north of her house. Will Angela have cell phone service at her friend’s house?

A. Angela will not have any cell phone service.
B. Angela will have cell phone service from tower 1 only.
C. Angela will have cell phone service from tower 2 only.
D. will have cell phone service from both towers.

Answers

Angela will have cell phone service from tower 2 only , Option C is the answer.

What is an Inequality ?

An inequality is an algebraic expression connected to another algebraic expression with an inequality operator.

The two inequalities given are

(x+5)² + (y+2)² ≤ 144

(x-8)² +(y-7)²  ≤100

The inequalities are plotted on the graph

and the location of Angels's Friends ( 4 , 8) is also plotted

If this lies in the area of the Inequalities she will have signal.

At Angela's friends house she will have the signal of Tower 2 only.

Therefore Option C is the answer.

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Convert 312 quarts to gallons.

Answers

Answer:

78 gallons

Step-by-step explanation:

there are four quarts in one gallon. so, to convert 312 quarts to gallons you must divide by 4. The answer is 78 gallons.

I think the answer is 78

A fair coin is tossed five times. The event "A = getting all heads" has probability = 1/32. (a) Describe in words what the event AC is. At least one tail occurs in the five flips. At least four tails occur in the five flips. At least four heads occur in the five flips. Getting all tails. At least one head occurs in the five flips. (b) What is the probability of AC? (Enter your answer as a fraction.)

Answers

The event AC describes the scenario in which at least one tail occurs in the five coin flips.The probability of AC is 31/32.

(a) In words, the event AC describes the scenario in which at least one tail occurs in the five coin flips.

Event AC can also be written as {HTTTT, THTTT, TTHTT, TTTHT, TTTTH, HTTTH, HHTTT, THHTT, TTHHT, TTTHH, HTTHH, HHTTH, THHHT, TTHHH, HTHTT, HHTHT, THHTH, HTTHT, THTHT, HTTH, THTTH, TTHTH, TTHHT, THTHH, HTTHH, THHTH, HTHHT, HHTHH, THHH, TTHH, THTH, HTTH, HHTH, THHT}.

(b) The probability of AC can be calculated as follows:

There are two possible outcomes of each coin flip: heads or tails.

Since the coin is fair, both outcomes are equally likely.

Therefore, the probability of getting tails in one flip is 1/2, and the probability of getting heads in one flip is also 1/2.In order to find the probability of AC, we will use the complement rule:Prob(AC) = 1 - Prob(A)Prob(A) = 1/32Prob(AC) = 1 - 1/32Prob(AC) = 31/32

Therefore, the probability of AC is 31/32.

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I made a fort by connecting two boxes. The first box is 5 meters long, 9 meters wide, and 9 meters high. The second box is 3 meters long, 8 meters wide, and 2 meters high.

Answers

Complete question :

I made a fort by connecting two boxes. The first box is 5 meters long, 9 meters wide, and 9 meters high. The second box is 3 meters long, 8 meters wide, and 2 meters high. How many cubic meters of space does my fort have?

Answer:

453 m³

Step-by-step explanation:

Volume of first box :

Volume = Length * width * height

Volume = 5 * 9 * 9

Volume = 405 m³

Volume of second box :

Volume = Length * width * height

Volume = 3 * 8 * 2

Volume = 48 m³

Total volume :

405m³ + 48m³ = 453m³

the solution of the equation (x+3)2=7 is

Answers

Answer:

x=1/2

Step-by-step explanation:

The answer is X= 1/2


I need help on this. ​

Answers

g = 2
:::::::::::::::::::

Two parallel lines l and m are cut by a transversal t. If the interior angles of the same side of t are (2x−8)∘ and (3x−7)∘, find the measure of each of these angles.

Answers

Step-by-step explanation:

When two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary. This means that their measures add up to 180 degrees.

In this case, the two interior angles on the same side of the transversal 't' are (2x-8) degrees and (3x-7) degrees. Since these angles are supplementary, we can write the equation (2x-8) + (3x-7) = 180.

Solving this equation for x, we get:

(2x-8) + (3x-7) = 180

5x - 15 = 180

5x = 195

x = 39

Substituting this value of x into the expressions for the two interior angles, we find that their measures are:

(2x-8) = (2*39 - 8) = 70 degrees

(3x-7) = (3*39 - 7) = 110 degrees

So, the measure of each of these angles is 70 degrees and 110 degrees.

*Will mark brainliest* Can someone explain this to me?

Answers

251.33
Is right
Hope that helped XD

Joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles. Determine P(not purple) when choosing one marble from the bag.
a.64%
b.36%
c.24%
d.8%

Answers

To determine the probability of not choosing a purple marble when selecting one marble from a bag containing 2 red, 4 green, 10 yellow, and 9 purple marbles. Correct option is A).

The total number of marbles in the bag is 2 (red) + 4 (green) + 10 (yellow) + 9 (purple) = 25 marbles.

The number of non-purple marbles is 2 (red) + 4 (green) + 10 (yellow) = 16 marbles.

Therefore, the probability of not choosing a purple marble is P(not purple) = 16/25.

To convert this fraction to a percentage, we divide the numerator (16) by the denominator (25) and multiply by 100: P(not purple) = (16/25) * 100 = 64%.

Hence, the probability of not choosing a purple marble when selecting one marble from the bag is 64%, which corresponds to option (a) in the given choices.

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What is the median for the following data set? 5,7,9,11,13,13

A. 10
B. 8
C. 9
D. 11

Answers

The answer is C.9 because 9+4=13 and 9-4=5 hope this helps

y = 3x - 5 and y = 4x.

Answers

Answer: x = -5

New Equation (after substituting) 4x = 3x - 5

Subtract 3x from both sides

x = -5

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Which of the following changes in working capital represents a cash inflow? An increase in accounts payable An increase in inventories An increase in accounts receivable A decrease in notes payable Draw and upload a separation scheme for the isolation of benzoic acid from the reaction mixture.Reaction mixture --> Transformation of bromobenzene into benzoic acid through a Grignard reaction in the movie crash, the character played by rapper ludacris complains to his friend that they are unfairly mistrusted and feared, just because they are black. the two of them then pull out guns and carjack a white couple. which theory could this deliberately jarring plot twist be used to illustrate? What is the size relationship between the mean and the median of a data set? O A. The mean can be smaller than, equal to, or larger than the median. OB. The mean is always equal to the median. OC. The mean is always more than the median. O D. The mean is always less than the median. O E none of these A company had a tractor destroyed by fire. The tractor originally cost $134,000 with accumulated depreciation of $68,100. The proceeds from the insurance company were $94,500.The company should recognize:a. A gain of $28,600.b. A gain of $65,900.c. A gain of $94,500.d. A loss of $65,900.e. A loss of $28,600. What should be the role(s) of the media in our society (a watch dog, provide political analysis, entertainment, sports, all of these, none of these, other roles, etc.)? 2. Are there particular media outlets (networks, cable channels, magazines, newspapers, websites, etc.) that do a "good job" of fulfilling the role(s) you stated in Question 1? Any that don't live up to your expectations? An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2. The engineer wants to estimate the difference between the mean yield of tomato plants grown with Add1 and the mean yield of tomato plants grown with Add2. The engineer studies a random sample of 12 tomato plants grown using Add1 and a random sample of 13 tomato plants grown using Add2. (These samples are chosen independently.) When he harvests the plants he counts their yields. These data are shown in the table. Yields (in number of tomatoes) Add1 162, 168, 175, 167, 181, 180, 187, 171, 167, 191, 166, 172 Add2 178, 185, 185, 227, 145, 202, 218, 211, 156, 164, 173, 194, 166 Send data to calculator V Assume that the two populations of yields are approximately normally distributed. Let be the population mean yield of tomato plants grown with Add1. Let be the population mean yield of tomato plants grown with Add2. Construct a 90% confidence interval for the difference . Then find the lower and upper limit of the 90% confidence interval. Carry your intermediate computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.) ? Suppose the average income for consumers of a product increased from $80,000 per year to $84,000 per year. And suppose this causes the number of units sold of this product to increase from 32,000 to 33,000. (a) Calculate the income elasticity of demand for this product. (b) Is this product a normal good or an inferior good? a 15.50 gram ice cube at 0.00c is left out on the counter. after a couple of hours, it absorbs 6,667 joules of heat. what is the final temperature of the water remaining? Use the following information to answer the next two questions. Consider the Phillips curve t=-(Ut-U*) with =1.5, u*=0.06, and n=0.05. Suppose that uo-u*. Suppose the current government pressures the RBA to bring the economy to an unemployment rate of 0.04 for the next period. With adaptive expectations, what inflation rate should the RBA target? A 0.100 M oxalic acid, HO2CCO2H, solution is titrated with 0.100 M KOH. Calculate the pH when 25.00 mL of oxalic acid solution is titrated with 35.00 mL of NaOH. Ka1 = 5.4 102 and Ka2 = 5.42 105 for oxalic acid. Write a function that receives a StaticArray that is sorted in order, either non-descending or non-ascending. The function will return (in this order) the mode (most-occurring value) of the array, and its frequency (how many times it appears). If there is more than one value that has the highest frequency, select the one that occurs first in the array. You may assume that the input array will contain at least one element and that values stored in the array are all of the same type (either all numbers, or strings, or custom objects, but never a mix of these). You do not need to write checks for these conditions. For full credit, the function must be implemented with O(N) complexity with no additional data structures being created. A thin, rectangular sheet of metal has mass M and sides of length a and b. Use the parallel-axis theorem to calculate the moment of inertia of the sheet for an axis that is perpendicular to the plane of the sheet and that passes through one corner of the sheet. Losses from which of the following entities are carried forward at the entity level?a.C corporationb.S corporationc.LLCd.Sole proprietorship Olga migrated to Australia with her husband and two childrenfrom Russia one year ago. Her command of English is poor, and shehas little understanding of everyday business matters. While homealone, 1. Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.)f''(x) = 32x3 15x2 + 8x, f(x)=2.Find f.f''(x) = 2 + 24x 12x2, f(0) = 7, f'(0) = 16f(x)=3. Find f.f''(x) = 20x3 + 12x2 + 6, f(0) = 7, f(1) = 7f(x)=4. A high-speed bullet train accelerates and decelerates at the rate of 10 ft/s2. Its maximum cruising speed is 105 mi/h. (Round your answers to three decimal places.)(a) What is the maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes?(b) Suppose that the train starts from rest and must come to a complete stop in 15 minutes. What is the maximum distance it can travel under these conditions?(c) Find the minimum time that the train takes to travel between two consecutive stations that are 52.5 miles apart.(d) The trip from one station to the next takes at minimum 37.5 minutes. How far apart are the stations? hitchcock preferred a situation of normality in his settings.True or False Find the future value and the compound interest amount on $1845.00 invested at 12.45% compounded monthly for 15 years.Select one:a. FV = $ 11,826.681Interest = $ 9981.681b. FV = $ 11,834.87Interest= Cannot findc. FV = $ 11,826.681Interest= 1.037d. FV = $ 10,000Interest = $ 8155 Intro Lugget Corp. has one bond issue outstanding with an annual coupon of 4.1%, a face value of $1,000 and a price of $1,008.11, which matures in 10 years. The company's tax rate is 25%. Part 1 What Using the financial ratios provided, analyse the performance of Company X in 2021 compared to the previous year.On 1 Jan 2019, Don Company purchased a machine for $100,000. The machine was estimated to have a useful life of 5 years with no residual value.On 1 Jan 2021, the company determined that, due to advances in machinery maintenance, the total useful life of machine would be 7 years.On 1 Jan 2022, the company traded in the machine and paid $20,000 for a new machine. There was no gain or loss on the exchange of machine.The company uses the straight-line method of depreciation and the companys financial year ends 31 Dec.Compute the depreciation expense. Accumulate depreciation and net book value of the machine for the years 2019, 2020 and 2021, Show workings.Present journal entries to record the trade-in of the old machine for the new machine.Explain the concept of depreciation and why it requires the use of judgement and estimates.