What is the measure of ∠A, to the nearest degree?
17°
33°
57°
73°
A scalene triangle A B C. Side B C is the base. Side A B is labeled as 7 meters. Side A C is labeled as 7 meters. Side B C is labeled as 4 meters.

Answers

Answer 1

Answer:

33

Step-by-step explanation:


Related Questions

true or false: the diagonals of a parallelogram intersect to form perpendicular lines

Answers

Answer:

false

Step-by-step explanation:

im a little unsure but i think false

Answer:

It is true that a parallelogram has symmetry with respect to the point of intersection of its diagonals.

Step-by-step explanation:

Please help!!


Explain how to describe the data on a histogram.

Answers

Answer:

In a histogram, the distribution of the data is symmetric if it has one prominent peak and equal tails to the left and the right. The Median and the Mean of a symmetric dataset are similar.

Step-by-step explanation:

Answer:

You can consider a cluster, which is a group of the bars, and this could help define the higher frequency in these intervals. Another way is the peak which is there the frequency is highest. There can also possibly be bars on a certain area, meaning the frequency is 0. You can also describe a histogram as symmetrical, evenly distributed, or none of those.

Step-by-step explanation:

A cluster is a group of bars, meaning the frequency is higher in these intervals. A peak is a bar that is higher than the other bars around it. So a peak is where the frequency is highest. Intervals on a histogram where there are no bars means the frequency is 0. If the graph is symmetrical, then the data are evenly distributed.

A cluster is a group of bars, meaning the frequency is higher in these intervals.

A peak is a bar that is higher than the other bars around it.

A peak is where the frequency is highest.

Intervals on a histogram where there are no bars means the frequency is 0.

If the graph is symmetrical, then the data are evenly distributed.

North Carolina: 79.6 years
Oregon: 82 years
District Of Columbia: 77.9 years
Nevada: 81.3 years
New York: 82.5 years
Colorado: 80.9 years
Alaska: 74.9 years
Connecticut: 82.7 years
Montana: 74.1 years
Mississippi: 74.2 years

please answer all questions to the best of your ability!!
will rate brainliest!!
thank you so much

Answers

Answer:

Step-by-step explanation:

Think: They want us to make a box-o-gram (histogram and box-whisker-plot combo).

Identify: They gave us the information we need and we know that health care varies in each state, so that affects the life longevity and also different imcomes affect the care people resceive. We will make the box-o-gram after ordering the data appropriately.

Do: After ordering the numbers from least to greatest, we make calculations for the medians and mean. Here are the answers:

Least: 75 (Need to round up for this)

Greatest: 83 (Need to round up)

Q1: 90.2 (Got this by adding the two numbers of the upper half of data and dividing by 2)

Median/mean: 86.2 (Average of the data)

Q3: 85 (Rounded. Got this by adding the two numbers of the middle half of data and dividing by 2)

Answer:

A: 75

B: 86.2

C: 90.2

D: 85

E: 83

Yes, this makes sense since the data on the box-o-gram fall within the data given in the chart at the top of the worksheet.

You flip a coin and roll a regular six-sided number cube. Find the probability of flipping tails and rolling an even number

Answers

Answer:

Since flipping a coin and rolling a 6-sided die are independent events ,thus the probability of getting head and an even number is just the product of the individual probability of events.

Let A be the event of getting a head ,and B be the event of getting an even number on die.

therefore, P(A and B)=P(A) P(B)=(1/2)*(3/6)=1/4=0.25

18 - 5 · 3 =
please help

Answers

Answer:

3

Step-by-step explanation:

18 - 5 · 3

PEMDAS says we multiply and divide first

18 - 15

Then add and subtract

3

Answer:

3

Step-by-step explanation:

Solve according to PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)

First, multiply 5 and 3

18 - 5 · 3

18-15

Subtract 15 from 18

3

The very busy Freshman class is selling tickets for an upcoming field hockey game. The class sells 20 more student tickets than adult tickets. The adult tickets cost $4 and the student tickets cost $2. The class made a total of $280 from ticket sales. How many of each type of ticket did they sell? Elaborate and clarify your reasoning.
1a. Define the variables in this system
b. Create equations to describe the relationships in this system between the variables

Answers

Answer:

60 student tickets and 40 adult tickets were sold

Step-by-step explanation:

Let s represent student tickets and a adult tickets, then the system of equations can be written as

s - a = 20 →(1)

2s + 4a = 280 → (2)

Multiply (1) by 4 and add to (2) to eliminate a

4s - 4a = 80 → (3)

Add (2) and (3) term by term

6s = 360 ( divide both sides by 6 )

s = 60

Substitute s = 60 into (1)

60 - a = 20 ( subtract 60 from both sides )

- a = - 40 ( multiply both sides by - 1 )

a = 40

Thus

60 student and 40 adult tickets were sold.

PLEASE HELP ASAP!!!

Using the data below, determine the percentage of people who prefer cats?

A. 36%
B. 10%
C. 5%
D. 18%


Answers

Answer:

A. 36%.

Step-by-step explanation:

Total number of pets = 24 + 18 + 5 + 3

= 50,

So the percentage who prefer cats

= 18/50 * 100

= 18 * 2

= 36%.

Answer

A.36%

Step by step

24+18+5+3=50 you put that in percentage

2, 5, 7, 12, 19 ...
What are the next two terms in this sequence?

Answers

Final answer:

The next two terms in the sequence 2, 5, 7, 12, 19 are 30 and 43, which are derived by following a pattern of increasing each term by the next prime number.

Explanation:

To determine the next two terms in the sequence 2, 5, 7, 12, 19, we need to look for a pattern. Let's examine the differences between consecutive terms:

5 - 2 = 3

7 - 5 = 2

12 - 7 = 5

19 - 12 = 7

It seems that there is no straightforward arithmetic progression, but we can notice a pattern in the differences: 3, 2, 5, 7. The differences themselves seem to be part of a sequence. If we take subtract 1 from the second term, add 3 to the third term, and add 2 to the fourth term, we get a sequence of primes: 3, 2, 5, 7. Following that pattern, the next prime numbers are 11 and 13.

So if we add 11 to the last term (19), we get 30 as the next term. Adding 13 to 30 gives us 43 as the term after that. Therefore, the next two terms in the sequence should be 30 and 43.

Find the mode and median of the following data set
Red, purple, white, red, white, black, white, white, black, blue, black, red, black, blue, black, black

Answers

The answer is a my guy
Final answer:

The mode of the given data set is black, and the median is blue.

Explanation:

In the given data set Red, purple, white, red, white, black, white, white, black, blue, black, red, black, blue, black, black, the mode is the value(s) that occur(s) most frequently. The mode in this data set is black as it appears 6 times, which is more than any other value in the set.

The median is the middle value when the data set is arranged in order. To find the median, we first need to order the data set: black, black, black, black, black, blue, blue, purple, red, red, red, white, white, white, white. As there are 15 values in the set, the middle value is the 8th value, which is blue.

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Analyzing Work
Did Bryn come to the correct conclusion? If not
explain her error.
Bryn checked the measures of the stairs to make sure
they formed a right triangle. The measures of the steps
were 5 in., 13 in., and 12 in.
Bryn's work is shown below:
1 5² + 13² = 12²
2. 25 + 169 = 144
3. 194. 144
Conclusion: Not a right triangle
No. In step 1 she did not apply the Pythagorean
theorem correctly.
C No. In step 2 she did not square each term
correctly
No. She should have used the outcome from step
3 to conclude that the triangle is a right triangle.
Yes, Bryn came to the correct conclusion

Answers

Answer:

she did not apply the Pythagorean theorem correctly

Step-by-step explanation:

It should be [tex]5^{2} +12^{2} =13^{2}[/tex]

the sum of the squares of smaller sides equals to the square of the longest side.  So in this case it is a right triangle: 25+144=169

Answer:

a

Step-by-step explanation:

Suruchi is reading a book that is 333 pages long. So far, she has read 5/9 of the book. How many pages does Suruchi have left to
read?

Answers

Final answer:

Suruchi has read 5/9 of a 333-page book, which equates to approximately 185 pages. Therefore, she has 148 pages left to read.

Explanation:

The student is asking how many pages Suruchi has left to read from a book that is 333 pages long given that she has already read 5/9 of the book. To find the number of pages read, we multiply 5/9 by the total number of pages:

Pages read = (5/9)  imes 333

After calculating, Suruchi has read 185 pages since 5/9 of 333 is approximately 185. Therefore, the number of pages she has left to read is:

Pages left = Total pages - Pages readPages left = 333 - 185 = 148

So, Suruchi has 148 pages left to read.

Your local Ford dealership is having a sale. All 2008 model trucks have been reduced by 15% and for a limited time, all tra
will discount the truck an additional 5%. Given this information, determine the decay factor corresponding to each percent
decrease.
a. 0.85; 0.95
C. 15; 5
b. 85, 95
d. 0.15;0.05
Please select the best answer from the choices provided
ОА
OB
oc
D
Mark this and return
Save and Exit
Next
Submit

Answers

Answer: the answer is A. 0.85; 0.95

Answer:

The answer would be A

Step-by-step explanation:

edge 2021, hope this helps

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HELP ME PLEASEEEEEEEEEEEEEEE
Which numbers make a true statement when placed in the box?

8.035< □

Select each correct answer.


8.135

8.305

8.028

8.507

Answers

Answer:

8.028

Step-by-step explanation:

Answer:

8.035 is less than 8.135 and 8.305

Step-by-step explanation:

EASY JUST LOOK AT THE DECIMAL NUMBERS AND SEE WHICH ARE GREATER :)

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 30% salt and Solution B is 70% salt. She wants to obtain 120 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?

Answers

Answer:

Solution A: 15 ounces

Solution B: 105 ounces

Step-by-step explanation:

A + B = 120

A = 120 - B

0.3A + 0.7B = 0.65(120)

0.3A + 0.7B = 78

0.3(120 - B) + 0.7B = 78

36 - 0.3B + 0.7B = 78

0.4B = 42

B = 105

A = 120 - 105

A = 15

Answer:

15 ounces solution A

105 ounces solution B

Step-by-step explanation:

Let x be the amount of solution A

We need a total of 120 ounces of solution

Therefore we need

120-x ounces of solution B

Take the ounces of solution A times the percentage salt + the ounces of solution B times the percentage salt and this should equal the total ounces time the percentage sale

.3 x  + (120-x) *.7 = 120 * .65

Distribute

.3x +84 -.7x = 78

Combine like terms

-.4x = -6

Divide each side by -.4

-.4x/-.4 = -6/-.4

x =15

We need 15 ounce of solution A

We need 120 ounces total

120-15 =105 ounces of solution B

A spinner has four unequal parts. Tony spun the spinner 16 times. The spinner landed on
red 1 time, blue 2 times, yellow 3 times and green 10 times. Using this data, what is the
most likely outcome on the next spin?
red
blue
green
yellow

Answers

Answer:Green

Step-by-step explanation:

Final answer:

Based on past spins, the most likely outcome for the next spin is green, as it was landed on the most frequently.

Explanation:

If a student spun a spinner 16 times and it landed on red 1 time, blue 2 times, yellow 3 times, and green 10 times, the most likely outcome on the next spin would be green.

This conclusion is based on the relative frequency of the outcome for each color so far. The frequency suggests that the spinner is biased toward the green section since it has been landed on the most in this small sample of spins. Assuming the conditions remain the same and there's no alteration to the spinner, the probability of landing on a particular color is proportional to the number of times it has been landed on in the past.

Therefore, with the information provided and based on past occurrences, green is the most likely outcome for the next spin on this specific spinner.

Find the accumulated value of an investment of $1,400 at 8% compounded quarterly for 4 years.

Answers

Final answer:

The accumulated value of a $1,400 investment at an 8% annual interest rate, compounded quarterly for 4 years, using the compound interest formula, is $1,914.31.

Explanation:

To calculate the accumulated value of an investment with compound interest, we use the formula A = P(1 + r/n)^(NT), where:

P is the principal amount (the initial amount of money)r is the annual interest rate (in decimal form)N is the number of times the interest is compounded per yearT is the time the money is invested for, in years

In this case, the student invests $1,400 at an 8% annual interest rate, compounded quarterly for 4 years.

Using the formula:

Convert the annual rate to a decimal: 8% = 0.08

Determine the number of compounding periods per year: Quarterly means 4 times per year

Calculate the number of compounding periods: 4 years × 4 times per year = 16 total compounding periods

Calculate the accumulated value: A = 1400(1 + 0.08/4)^(4×4)

Plugging in the values:

A = 1400(1 + 0.02)^(16)A = 1400(1.02)^16A = 1400 × (1.367363)A = $1,914.31

Therefore, the accumulated value of the investment after 4 years is $1,914.31.

[70 POINTS] What is the perimeter of the following composite figure?


21 yd

42 yd

47.13 yd

35.13 yd

Answers

Answer:

21

Step-by-step explanation:

The perimeter of the composite figure is T = 47.13 yd

What is the Perimeter of a Rectangle?

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P of rectangle = 2 ( Length + Width )

Given data ,

Let the perimeter of the composite figure be T

Let the rectangle be represented as ABCD

Now , the semicircle is AC

where the perimeter of rectangle P = 12 + 12 + 9

P = 33 yards

And , the circumference of the semicircle C = πr

C = 3.14 x 4.5 = 14.13 yards

So , T = P + C

T = 33 + 14.13

T = 47.13 yd

Hence , the total perimeter of the figure is T = 47.13 yd

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What is the length of ED in the given cube? Round to the nearest tenth of an inch if necessary. in.

Answers

Answer: 12 in

Step-by-step explanation:hope this helps

Answer:

12

Step-by-step explanation:

asap URGENT work out x

Answers

Answer:

360/180

Step-by-step explanation:

Find the area of the trapezoid.

A trapezoid has a base of 8 meters, a height of 6 meters, and a top side length of 4 meters.

The trapezoid has an area of
m2.

Answers

Answer:

36 [tex]m^{2}[/tex]

Step-by-step explanation:

A =[tex]\frac{a+b}{2}[/tex]h    

that is the formula for area of a triangle so when you insert all those numbers you get 36

:)

Area of the trapezoid is, 36 m²

What is mean by Multiplication?

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

A trapezoid has a base of 8 meters, a height of 6 meters, and a top side length of 4 meters.

Now, We know that;

Area of trapezoid = (a + b) h / 2

Here, We have;

a = 4 meters

b = 8 meters

h = 6 meters

Substitute all the values, we get;

Area of trapezoid = (a + b) h / 2

Area of trapezoid = (4 + 8) × 6 / 2

Area of trapezoid = 12 × 3

Area of trapezoid = 36 m²

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Determine the approximate ordered pair for f(x) = g(x). the graph of two linear functions negative 4 times x plus 15 times y equals negative 300 and 20 times x plus 4 times y equals negative 20

Answers

Answer:

  (x, y) ≈ (2.848, -19.241)

Step-by-step explanation:

I find it much easier to work with the problem statement when math expressions are written using numbers and symbols. We assume you have ...

  -4x +15y = -300

  20x +4y = -20

Dividing the second equation by 4 and subtracting the x-term gives ...

  y = -5-5x

Substituting that into the first equation, we get ...

  -4x +15(-5-5x) = -300

  -79x -75 = -300

  x = -225/-79 = 2 67/79 ≈ 2.8481

Substituting this into the equation for y gives ...

  y = -5(x +1) = -5(3 67/79) = -19 19/79 ≈ -19.2405

The approximate solution is ...

  (x, y) = (2.8481, -19.2405)

Answer:

The answer is (3,-19)

because you see on the graph that's where they intersect f(x) = 3 and g(x) = -19.

Step-by-step explanation:

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Mandy built a pyramid for her project on Egypt with a

volume of 48 * in. Find the area of the base of the

pyramid. Check all that apply

Use the formula V

Bh to solve the problem

The volume of the pyramid is 48

in

The height of the pyramid is 5 inches

Substitute the values for V and into the formula

and then solve for B

The area of the base of the pyramid is 8 in2

The area of the base of the pyramid is 242

Answers

Answer:

The area of the base of the pyramid is 9.6 square inches.

Step-by-step explanation:

Given : Mandy built a pyramid for her project on Egypt with a  volume of 48 in.

To find : The area of the base of the  pyramid ?

Solution :

The formula of volume of pyramid is

[tex]V=Bh[/tex]

where, B is the area of the base

and h is the height

The volume is [tex]48\ in^3[/tex].

The height is 5 inches.

Substitute the value,

[tex]48=B\times 5[/tex]

[tex]B=\frac{48}{5}[/tex]

[tex]B=9.6[/tex]

Therefore, the area of the base of the pyramid is 9.6 square inches.

Answer:

A )Use the formula V = one-third B h to solve the problem.

B )The volume of the pyramid is 48 and three-fourths in.3

C) The height of the pyramid is 6 inches.

D) Substitute the values for V and h into the formula, and then solve for B

F) The area of the base of the pyramid is 24 and StartFraction 3 over 8 EndFraction in.2

HOPE IT HELPED

I have nine books and have room to display only four of them at a time on my bookself. How many different ways could I do this?

Answers

So to do this on paper I’d usually write out four blanks. One to represent each spot on the shelf. Then think about how many options you have for the first spot, 9. Now that you’ve used one, you second spot can only have 8 options. Since we’ve used two the third spot only has 7 options now. Finally the fourth spot has only 6 options. To get the answer we not multiply these four numbers
9x8x7x6= 3,024

Find the total length of six sections when each section is 72.5mm in length​

Answers

The total length is 435mm

Answer:

72.5 mm times 6 = 435 mm

Step-by-step explanation:


Over which interval(s) is the function decreasing?

A) (-1, 1) (3, ∞)
B) (-∞, -1) (1, 3)
C) (-∞, -0.25) (1.75, 3)
D) (-0.25, 1.75) (3, ∞)

Answers

The answer is c because bla bla bla

Which number line represents the solutions to 1-2x = 4?

Answers

Answer:

The third dot is my answer. But don't take it for granted. Try it yourself and see what you come out with!

Step-by-step explanation:

Answer:

-1/2x > = 4 ...multiply both sides by -2, change inequality sign

x < = 4 * -2

x < = -8

closed circle (because of the equal sign) on -8, shading to the left (because it is less then)

Step-by-step explanation:

A right triangle has an area of 33 mm² and a height of 11 mm.

How long is the base of the triangle?

Enter your answer in the box.

mm

Answers

Answer:

6mm

Step-by-step explanation:

Answer:

6 mm

Step-by-step explanation:

I took the quiz

Classify the following triangle. Check all that apply.
9.8 120° 5.2
2040
13.2
A. Scalene
O
B. Isosceles
O
C. Obtuse
o
D. Right
E. Equilateral
O
F. Acute
SUBMIT

Answers

The triangle is scalene and obtuse

The given triangle is a scalene triangle and also an obtuse triangle.

What is a triangle?

A triangle is a two-dimensional geometrical figure that has three sides, three interior angles and three vertices.

For the given triangle, three sides are 9.8, 13.2, 5.2.

Three angles are 120°, 40°, 20°.

Therefore, the given triangle is a scalene triangle and also an obtuse triangle.

Since three sides of the given triangle are different.

Therefore, it is neither a isosceles triangle nor an equilateral triangle.

None of the angles is a right-angle.

Hence, it is not a right-angle triangle.

One of three angles of the given triangle is 120°.

Hence, it is not an acute triangle.

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how to divide 344/20 x 10^3

with explanation

Answers

Answer: 17200




Explanation:

•Solve:

344 ÷ 20 × 10³

• Calculate 10 to the power of 3:

86/5 × 10³

•Express 86/5 × 1000:

86/5 × 1000


•Multiply 86 and 1000:

86 × 1000
—————-
5

•Divide 86000 by 5:

86000
———— = 17200
5

•Result:

17200

If x + 3y = 7 and y = 2, then x equals

Answers

Answer:

I think the answer is x=1

Step-by-step explanation

Well since y=2 then I would multiply 2 with 3. And that is 6. Lastly, I would subtract 7 with 6 and you'll get 1 left over.

The value of x equals 1.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given equation is,

x + 3y = 7

We have to substitute the value of y = 2.

x + (3 × 2) = 7

x + 6 = 7

Subtracting 6 from both sides,

x = 7 - 6 = 1

Hence the value of x is 1.

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What is absolute value Which of the following statements is FALSE? a. Demand for oil has increased, but oil production has declined since 1972. b. Texas is last in the country for the production of wind powered electricity. c. Between 2005 and 2008, the amount of electricity produced by wind power has tripled. d. The use of geothermal and nuclear power is on the rise. Please select the best answer from the choices provided A B C D The sculpture Cubo Vazado [Emptied Cube] by the Brazilian artist Franz Weissmann is formed by removing cubical blocks from a solid cube to leave the symmetrical shape shown.If all the edges have length 1, 2 or 3, what is the volume of the sculpture? Benjamin and Lawrence are both walking to class when they see their instructor slip and fall while climbing the steps in front of Fraser. Benjamin makes a ___________ saying that the instructor fell because he is a clumsy man. You make a __________ by pointing out that it snowed the night before and the stairs are probably icy. O situational attribution; dispositional attribution O dispositional attribution; situational attributionO situational disposition; correspondence bias O correspondence bias; dispositional attribution Both armies took heavy casualties and deaths during the Battle of Gettysburg. TrueFalse A complex nervous system usually includes a And several Organs Lines 1118: What key concept does Soto develop? How do the sentences in these lines build on that idea? J. M. Keyes put all his money in on tock, and the stock doubled in value in a matter of months. He did this three times in a row with three different stocks. J. M. got his picture on the front page of the Wall Street Journal. However, the paper never mentioned the thousands of investors who made similar bets on other stocks and lost most of their money. This is an example of the _____problem in deciding how efficient the markets are. a. 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Raw materials used to production, $190,000 ($178,000 direct materials amd $12,000 indirect materials). Direct labor cost incurred, $90,000; indirect labor cost incurred, $110,00. Depreciation recorded on factory equipmentnt, $40,000. Other manufacturing overhead costs incurred during October, $70,000 (credit Accounts Payable). The company applies manufacturing overhead cost to production on the basis of $8 per machine-hour. A total of 30,000 machine-hours were recorded for October. Production orders costing $520,00 according to their job cost sheets were completed during October and transferred to Finished Goods. Production orders that had cost $480,000 to complete according to their job cost sheets were shipped to customers during the month. These goods were sold on account at 25% above cost. Required: 1. Prepare journal entries to record the information given above. Prepare T-accounts for Manufacturing Overhead and Work in Process. Post the relevant information about to each account. Compute the ending balance in each account, assuming that Work in Process has a beginning balance of $42,000. Why is it ineffective to treat viral disease with antibiotics? Why is it ineffective to treat viral disease with antibiotics? Pathogenic RNA viruses have a high rate of mutation, producing new genetic varieties that are insensitive to antibiotic treatment. Due to excessive antibiotic use, most viruses have evolved to be resistant to antibiotics. Antibiotics inhibit enzymes specific to bacteria and have no effect on virally encoded enzymes. Solve Tan^2x/2-2 cos x = 1 for 0 < or equal to theta < greater or equal to 1. Walters Audio Visual, Inc., offers a stock option plan to its regional managers. On January 1, 2016, options were granted for 40 million $1 par common shares. The exercise price is the market price on the grant date, $8 per share. Options cannot be exercised prior to January 1, 2018, and expire December 31, 2022. The fair value of the options, estimated by an appropriate option pricing model, is $2 per option. Because the plan does not qualify as an incentive plan, Walters will receive a tax deduction upon exercise of the options equal to the excess of the market price at exercise over the exercise price. The income tax rate is 40%.Required: 1. Determine the total compensation cost pertaining to the stock option plan. (Enter your answer in millions (i.e., 10,000,000 should be entered as 10).)2. Prepare the necessary journal entries. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Enter your answers in millions (i.e., 10,000,000 should be entered as 10).)1. Record compensation expense on December 31, 2016.2. Record any tax effect related to compensation expense recorded in 2016.3. Record compensation expense on December 31, 2017.4. Record any tax effect related to compensation expense recorded in 2017.5. Record the exercise of the options on March 20, 2021 when the market price is $12 per share.6. Record any tax effect related to the exercise of the options. Consider the following sample of fat content (in percentage) of randomly selected hot dogs: (a) Assuming that these were selected from a normal population distribution, a 98 % confidence interval for the population mean fat content is (b) Find a 98 % prediction interval for the fat content of a single future hot dog. A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The height of the cylinder is 13 and the radius is 5.Which expression represents the volume, in cubic units, of the composite figure?Pi(52)(13) One-third pi (52)(12)Pi(52)(13) One-third pi (52)(25)Pi(52)(13) + One-third pi (52)(12)Pi(52)(13) + One-third pi (52)(25) Assume that T is a linear transformation. Find the standard matrix of T. T: set of real numbers R cubedright arrowset of real numbers R squared, Upper T (Bold e 1 )equals(1,9), and Upper T (Bold e 2 )equals(negative 7,2), and Upper T (Bold e 3 )equals(9,negative 2), where Bold e 1, Bold e 2, and Bold e 3 are the columns of the 3times3 identity matrix. 1. What was Gandhi doing in Johannesburg, South Africa in 1908?2. What might explain why Gandhi asked the Magistrate (judge) to give him a heavy penalty?3. During his lifetime, how many days did Gandhi spend in jail?4. Explain how Gandhi could use personal time in jail as an effective way to bring about nonviolentchange in India. Consider its effect on followers, on opponents, and on world opinion. The dinner buffet offers a choice of 4 appetizers, 5 main courses and 4 desserts. How many possible appetizer-main course-dessert combinations are there? *1 point