can someone please help me answer these?

Can Someone Please Help Me Answer These?

Answers

Answer 1

Answer: w+x=90

z=y+90

Step-by-step explanation: because the sum of the inner angles of triangle is 180. given that one angle is 90 degrees the sun of x and w has to be 180-90=90

for the second part, you have to use the triangle exterior angle theorem: an exterior angle of a triangle is equal to the sum of the opposite interior angles. The opposite interior angles in this case is 90 degrees and y


Related Questions

Julio recibió $640.000: gastó las ⅜ partes para pagar sus estudios y la ¼ parte para reparar el auto, ¿cuánto dinero le queda?

Answers

Answer:

Resto= $240.000

Step-by-step explanation:

Dada la siguiente información:

Cantidad total de dinero= $640.000

Costo de estudio= 3/8= 0,375

Costo de auto= 1/4= 0,25

Primero debemos calcular la cantidad total gastada, y después la diferencia:

Costo de estudio= 0,375*640.000= 240.000

Costo de auto= 0,25*640.000= 160.000

Gasto total= $400.000

Resto= 640.000 - 400.000

Resto= $240.000

What is the answer ? I need help

Answers

Answer:

-42

Step-by-step explanation:

Rosalind Franklin played an important role in the discovery of DNA's structure. Her data was used to support Watson's and Crick's hypothesis that DNA had the structure of a double helix. Even with this data and support from other scientists, the structure of DNA was not a widely accepted theory. Select all of the reasons why was their discovery was not considered a theory at the time of the paper's publication? 1. A newly released hypothesis must wait a least a year before the scientific community can vote for it to become a theory. 2. Theories are never developed by three people. 3. Theories need to undergo peer-review. 4.The hypothesis wasn't supported by their own data.

Answers

Answer:

The correct option is;

3. Theories need to undergo peer-review

Step-by-step explanation:

Within the scientific community, a theory has to be peer-reviewed by subject matter experts before it can be normally considered a valid theory. The peer-review process is one in which another scientific expert on the subject analyze, study, and repeat the experiments in the same conditions as stated in a publication submitted to a journal as a theory. The peer-review process aims to confirm the theory. A discovery which survives the peer review process will be considered a scientific theory and can then be expanded upon.

HELP NO LINKS JUST ANSWER DUE TODAY

Answers

The value of x is 4.4

This is because to get from 10 to 4 you divide to get a scale image. 10 divided by 4 = 2.5. So to get the same scale length on the other side of the triangle you divide the side length of 11 by 2.5 which = 4.4
I hope this helps! Good luck on your homework!
4/10=x/11

0.4=x/11

x=0.4•11

x=4.4

Help pls homework!! Sorry if I’m wasting time.

Answers

Answer:

Blanks top to bottom: 6^2, 36, 9, 108, 101

Step-by-step explanation:

Use PEMDAS which stands for parentheses, exponents, multiplication, division, addition, and subtraction. Listed in this specific order, you must look and solve for each one first, starting with parentheses.

4.

12 × ((4+2)^2/4) - 7

Solve for inside of parentheses first:

12 × ((6)^2/4) - 7

12 × (36/4) - 7

12 × 9 - 7

108 - 7

101

Factor 2x^2 - 3x = 2x - 2............Please?

Answers

Answer:

X = 1/2, 2

Step-by-step explanation:

= (2x-1)(x-2)

Answer:

OK I DON'T KNOW IF THIS IS IT BUT THE ANSWER IS POSSIBLY 0??? AND IF I DOESN'T WORK I'M SORRY

Step-by-step explanation:

The radius of a circle is 1 meter. What is the area?

r=1 m

Give the exact answer in simplest form.

Answers

Step-by-step explanation:

Area of Circle =

[tex]\pi {r}^{2} \\ = \pi( {1}^{2} ) \\ = 1\pi \\ = \pi {m}^{2} [/tex]

Find the characteristic c using a 64-bit long real equivalent decimal number -147 with mantissa f = 0.1484375

Answers

Characteristic 'c' using a 64-bit long real equivalent decimal number -147 with mantissa 'f' = 0.1484375, the number can be expressed as -1.48 x 10^2. The characteristic 'c' is the exponent of the power of 10. Therefore, the characteristic 'c' is -2.

The scientific notation representation of a real number is given by 'm x 10^c', where 'm' is the mantissa and 'c' is the characteristic. In this case, we have a 64-bit long real equivalent decimal number -147 with mantissa 'f' = 0.1484375. The number can be written as -1.48 x 10^2.

To determine the characteristic 'c', we look at the exponent of the power of 10. In this case, the exponent is 2. However, since the number is negative, the characteristic is also negative. Therefore, the characteristic 'c' is -2.In summary, for the given number -147 with mantissa 0.1484375, the characteristic 'c' is -2.

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The marginal PMFs for two INDEPENDENT random variables are given as follows 1/8 x = -1 Px(x) 1/2 = 0 3/8 1 = X = X = - py(y) = Py = 5/16 y=-1 9/16 y=0 1/8 = y = 1 a) Find the joint PMF for X, Y

Answers

The joint PMF for X, Y is given by the following table:

x\y 5/128   9/128   1/64   5/32   9/32   1/16   15/128   27/128   3/64

The joint probability mass function (PMF) of two discrete random variables is a function that maps each pair of outcomes of the random variables to a probability. In particular, the joint PMF gives the probability that the random variables take a certain pair of values on each trial. Therefore, we have to find the probability that the random variables X and Y take each of the six possible values.

Therefore, the joint PMF for X, Y is given as follows:

For x = -1 and y = -1,

P(X = -1, Y = -1)

= P(X = -1)P(Y = -1)

= (1/8)(5/16)

= 5/128

For x = -1 and y = 0,

P(X = -1, Y = 0) = P(X = -1)P(Y = 0)

= (1/8)(9/16)

= 9/128

For x = -1 and y = 1,

P(X = -1, Y = 1) = P(X = -1)P(Y = 1)

= (1/8)(1/8)

= 1/64

For x = 0 and y = -1,

P(X = 0, Y = -1) = P(X = 0)P(Y = -1)

= (1/2)(5/16)

= 5/32

For x = 0 and y = 0,

P(X = 0, Y = 0) = P(X = 0)P(Y = 0)

= (1/2)(9/16)

= 9/32

For x = 0 and y = 1,

P(X = 0, Y = 1) = P(X = 0)P(Y = 1)

= (1/2)(1/8)

= 1/16

For x = 1 and y = -1,

P(X = 1, Y = -1) = P(X = 1)P(Y = -1)

= (3/8)(5/16)

= 15/128

For x = 1 and y = 0, P(X = 1, Y = 0) = P(X = 1)P(Y = 0)

= (3/8)(9/16)

= 27/128

For x = 1 and y = 1,

P(X = 1, Y = 1) = P(X = 1)P(Y = 1)

= (3/8)(1/8)

= 3/64

Therefore, the joint PMF for X, Y is given by the following table:

x\y 5/128   9/128   1/64   5/32   9/32   1/16   15/128   27/128   3/64

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as of today, the team has played seven games, and _____________ has won them all.

Answers

As of today, the team has played seven games, and "the team" has won them all.

This statement indicates that the team, whose specific name or identity is not provided, has achieved a perfect winning record by emerging victorious in all seven games they have participated in. The emphasis is on the collective success of the team rather than attributing the wins to any particular individual or naming the team itself. The phrase "has won them all" highlights the team's unbeaten streak and implies their dominance in the competition.

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!!!!!!!!!! !!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

6.5 * 24 = 156

Therefore B

please help!!!!!!!!!

Answers

Answer: 15,000

Explanation: the question asks for the maximum profit so you look for the highest point and check the x value for it.

Hope this helped! :)

In the circus, a tiger has been trained to jump through a ring of fire that has a diameter of 6 feet. What is the ring's circumference?

Answers

Answer:

Radius is going to be 3 since half of the diameter is the radius.

Formula of a circumference you must remember:

2πr

(2 x pie (3.14 or 22/7) x your given radius or have of the diameter.

2 x 3.14 x 3 = 18.84

The full weight of a brand of a pack of sweet potato fries is a random variable with µ = 350 g and σ= 4.1 8. Assume that you pick a random pack from the population.
a. Find the proportion of packs that contain less than 340 g?
b. How likely is it for a pack to contain 330 g?

Answers

The proportion of packs that contain less than 340g is approximately 0.0918 or 9.18%. The likelihood of a pack containing exactly 330g cannot be determined without additional information.

To find the proportion of packs that contain less than 340g, we need to calculate the z-score and use the standard normal distribution table. The Calculating z-score:

z = (x - µ) / σ

Where x is the value we want to find the proportion for (in this case, 340g), µ is the mean (350g), and σ is the standard deviation (4.18g).

Substituting the values, we have:

z = (340 - 350) / 4.18 ≈ -2.39

Next, we look up the corresponding z-score in the standard normal distribution table. The area to the left of -2.39 represents the proportion of packs that contain less than 340g. Consulting the table, we find that the area is approximately 0.0091 or 0.91%.

Therefore, the proportion of packs that contain less than 340g is approximately 0.0918 or 9.18%.

To determine the likelihood of a pack containing exactly 330g, we need more information. Specifically, we would need the probability density function (PDF) of the distribution to calculate the exact likelihood. Without the PDF, we cannot determine the likelihood of a specific weight like 330g.

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Consider the graph of the function f(x)=logx.
Match each transformation of function f with a feature of the transformed function.

Answers

Transformation of function f with a feature of the transformed function.

g(x)=-f(x-3) is vertical asymptote of x=3j(x)= f(x+3) is x-intercept of (-2,0)h(x)=3f(x)-3 is domain of (0, ∞)

What is asymptote?

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique

Given function is : f(x)= log x

g(x)= -f(x+3)= - log(x+3)

g(x)=-f(x-3) is vertical asymptote of x=3

j(x)= f(x+3) = log (x+3) then

j(x)= f(x+3) is x-intercept of (-2,0)

Domain: As (0,∞),{x | x>0}

h(x)=3f(x)-3 is domain of (0, ∞)

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Answer:

Step-by-step explanation:

A company needs to determine the optimum power and time settings for their new licorice-flavored microwaveable popcorn. They want to find a combination of power and time that delivers high-quality popcorn with less than 11% of the kernels left unpopped, on average-a value that their market research says is demanded by their customers. Their research department experiments with several settings and determines that power 9 at 4 minutes is optimum. Their tests confirm that this setting meets the less than 11% requirement. They change the instructions on the box and promote a new money back guarantee of less than 11% unpopped kernels. Complete parts a) and b) below.
a) If, in fact, the setting results in more than 11% kernels unpopped, what kind of error have they made? What will the consequence be for the company? What are the null and alternative hypotheses in this case?
A. H_o: μ< 11 vs. H_A: μ = 11
B. H_o: μ= 11 vs. H_A: μ> 11
C. H_o: μ= 11 vs. H_A: μ< 11
D. H_o: μ> 11 vs. H_A: μ = 11
b) To be sure that the method was successful, the research department popped 8 more bags of popcorn (selected at random) at this setting. All were of high quality, with the percentages of unpopped kernels being 6.7,12.9, 10.6, 7, 7.1, 3.1, 2.0, and 4.8. Does this provide evidence that they met their goal of an average of fewer than 11% unpopped kernels? Assume α=0.05.
c) Find T
d) Find P

Answers

A The null and alternative hypotheses in this case are:

Null hypothesis: H_o: μ ≥ 11

Alternative hypothesis: H_A: μ < 11

B We have statistically significant evidence to conclude that the setting results in less than 11% kernels unpopped.

C The t-statistic is -2.94.

d) The p-value is 0.004.

How to explain the information

a) In this case, the company has made a Type I error. This is when the null hypothesis is rejected, even though it is true. In this case, the company would be rejecting the hypothesis that the setting results in less than 11% kernels unpopped, even though it is actually true. The consequence of this would be that the company would be losing money on refunds for popcorn that is not actually defective.

b) In order to answer this question, we need to calculate the t-statistic and the p-value.

The t-statistic is calculated as follows:

t = (x - μ) / (s / √n)

Substituting these values into the formula for the t-statistic, we get:

t = (6.7 - 11) / (3.5 / √8)

= -2.94

The p-value is the probability of obtaining a t-statistic that is at least as extreme as the one we observed, assuming that the null hypothesis is true. In this case, the p-value is 0.004.

c) The t-statistic is -2.94.

d) The p-value is the probability of obtaining a t-statistic that is at least as extreme as the one we observed, assuming that the null hypothesis is true. In this case, the p-value is 0.004.The p-value is 0.004.

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Callum is walking 270 miles to raise money for cancer research. He plans to walk 1/9 of the distance each day. After 7 days, how much farther does he have to walk to reach his goal?

Answers

270-(7/9x270)=60miles

HELPPPPPPPP
What is the value of x in the triangle?

Answers

Answer:

82

Step-by-step explanation:

it's very easy the answer is 82

Answer:

65°+75°+x°=180°(sum of an angle of triangle is 180°

or, 140°+x°=180°

or, x°=180°-140°

therefore,x°=40°

A Gallup poll conducted in November 2010 found that 493 of 1050 adult Americans believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage.
Use Minitab Express to construct the following confidence intervals. Report your answers as decimals (not percents) rounded to three decimal places, where applicable.
a) We are 95% confident that the proportion of all adult Americans who believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage is between ____ and ____
b) We are 99% confident that the proportion of all adult Americans who believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage is between _____ and ____

Answers

The sample proportion is calculated by dividing the number of individuals who believe it is the responsibility of the federal government (493) by the total number of adult Americans surveyed (1050).

a) For the 95% confidence interval, we use the formula: Sample proportion ± Z * (Standard error). The value of Z is determined by the desired confidence level. In this case, for a 95% confidence level, Z is the critical value corresponding to a two-tailed test. By plugging in the values, we can calculate the lower and upper limits of the interval.

b) Similarly, for the 99% confidence interval, we use the same formula but with the appropriate critical value for a 99% confidence level.

Using Minitab Express or statistical tables, we can find the critical values and compute the confidence intervals.

Hence, the 95% confidence interval represents our level of confidence that the true proportion of adult Americans who believe it is the responsibility of the federal government to provide healthcare coverage lies within the reported interval. Similarly, the 99% confidence interval provides a higher level of confidence in capturing the true proportion.

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What is the center? (X +3)^2+(y-11)^2=49

Answers

Answer:

I don't know the answer I am sorry I really need points to ask a important question sorry you can report me if you want but I want you to know that I really points

help
------
me
------
plsss
--------

Answers

Answer:

1 is E 2 is C

Step-by-step explanation:

15 is equal to or less than 6x

Let X be a topological space and A ⊂ X. The closure of A, denoted
A¯, is the intersection of all closed sets containing A.
(a) Show that A¯ is the smallest closed subset of X containing A, in
the following sense: if A ⊂ F ⊂ X and F is closed, then A¯ ⊂ F.

Answers

The "closure(A⁻)" of "subset-A" in a topological-space X is the intersection of all "closed-sets" containing A. It is smallest closed subset of X that contains A, means that if A⊂F⊂X and F is closed, then A⁻ is a subset of F.

In order to show that the closure(A⁻) is the smallest closed subset of X  which contains "A", we need to prove that if A ⊂ F ⊂ X and F is closed, then A⁻ ⊂ F,

We know that, A⁻ is intersection of all "closed-sets" containing A. Since F is "closed-set" which contains "A", it is one of the sets in the intersection defining A⁻. So, A⁻ is contained in F.

To show that A⁻ ⊂ F, we consider an arbitrary point x ∈ A⁻, which means that x is in the intersection of all closed sets containing A. Since, F is one such "closed-set" containing A, x must be in F as well.

Since x was an "arbitrary-point" in A⁻, we have shown that every point in A⁻ is also in F, So, A⁻ ⊂ F.

Therefore, we have proved that if A ⊂ F ⊂ X and F is closed, then A¯ ⊂ F.

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Which of the following inequalities has the graphed solution below?
zzGroup of answer choices

x − 1 ≥ 0

x − 1 ≤ 0

x + 1 ≥ 0

x + 1 ≤ 0

Answers

I think either x + 1 >_0 or x - 1 >_0, but I personally would choose x + 1 >_0

Here is my question.

Answers

Answer: True False True true

Step-by-step explanation:

Answer:

true

false

true

true

Step-by-step explanation:

What are the difference and similarities between a quadratic function and its transformation?

Answers

Well, since they are different degrees, there aren’t much similarities.

But both can have y-intercepts, x-intercepts, and can be graphed on a 2-dimensional plane. However, other than that, there may not be a lot of similarities.

A standard quadratic function is of the form ()=2++
f
(
x
)
=
a
x
2
+
b
x
+
c
and has the shape of a parabola, while a linear function is of the form ()=+
f
(
x
)
=
a
x
+
b
and is just a line.
7.5K viewsView upvotes

2




Related Questions (More Answers Below)

on number 6 what should i color in

Answers

Answer:

For 5/11 shade in the third bubble (0.45 repeating)

Suppose that the average time a fully charged 6-volt laptop battery will operate a computer is 4.6 hours and follows the exponential probability distribution. Determine the following probabilities.
a) Determine the probability that the next charge will last less than 1.9 hours.
b) Determine the probability that the next charge will last between 2.9 and 4 hours.
c) Determine the probability that the next charge will last more than 5 hours.
(Round to four decimal places as needed.)

Answers

(a) 0.3694 is the probability that the next charge will last less than 1.9 hours. (b) 0.2344 is the probability that the next charge will last between 2.9 and 4 hours. (c) 0.3830 the probability that the next charge will last more than 5 hours.

To solve these probabilities, we need to use the exponential probability distribution formula. The formula for the exponential distribution is:

[tex]P(X \leq x) = 1 - e^{-\lambda x}[/tex]

where,

λ is the rate parameter, and

x is the variable representing the duration.

Given that the average time a fully charged 6-volt laptop battery will operate a computer is 4.6 hours, we can find the rate parameter (λ) by taking the reciprocal of the average:

λ = 1 / 4.6

Now let's calculate the probabilities:

a) Determine the probability that the next charge will last less than 1.9 hours.

Using the exponential distribution formula:

[tex]P(X \leq 1.9) = 1 - e^{(-\lambda \times 1.9)}[/tex]

[tex]P(X \leq 1.9) = 1 - e^{(-\frac{1}{4.6} \times 1.9)}[/tex]

[tex]P(X \leq 1.9) = 1 - e^{(-0.4130)}[/tex]

P(X ≤ 1.9) ≈ 0.3694 (rounded to four decimal places)

Therefore, the probability that the next charge will last less than 1.9 hours is approximately 0.3694.

b) Determine the probability that the next charge will last between 2.9 and 4 hours.

Using the exponential distribution formula:

P(2.9 ≤ X ≤ 4) = P(X ≤ 4) - P(X ≤ 2.9)

[tex]P(2.9 \leq X \leq 4) = [1 - e^{(-\lambda \times 4)}] - [1 - e^{(-\lambda \times 2.9)}][/tex]

[tex]P(2.9 \leq X \leq 4) = [1 - e^{(-\frac{1}{4.6} \times 4)}] - [1 - e^{(-\frac{1}{4.6} \times 2.9)}][/tex]

P(2.9 ≤ X ≤ 4) ≈ 0.2344 (rounded to four decimal places)

Therefore, the probability that the next charge will last between 2.9 and 4 hours is approximately 0.2344.

(c) Determine the probability that the next charge will last more than 5 hours.

Using the exponential distribution formula:

P(X > 5) = 1 - P(X ≤ 5)

[tex]P(X > 5) = 1 - [1 - e^{(-\lambda \times 5)}][/tex]

[tex]P(X > 5) = 1 - [1 - e^{(-\frac{1}{4.6} \times 5)}][/tex]

P(X > 5) ≈ 0.3830 (rounded to four decimal places)

Therefore, the probability that the next charge will last more than 5 hours is approximately 0.3830.

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Which value below represents the solution to 64 = 4u

Answers

Answer:

You didnt write the options

Answer:

u=16

Step-by-step explanation:

64=4u

divide both sides by 4

16=u

| 50 Points | Please give explanation | Reporting false answers | Giving correct brainliest

Answers

The one in the middle is right one. Because it has the same information as in the graph

Answer: answer is D

Step-by-step explanation:

because science is more important than life

The temperature in your town is 31°F. The radio announcer says that the temperature will drop 15 degrees. What will the temperature be? Write an equation to show how you found your answer
welp me pls
( T﹏T ) ( T﹏T ) ( T﹏T ) ( T﹏T )

Answers

Answer:  16° F

Step-by-step explanation:

30-15=16

16 degrees because if you subtract 31 degrees by 15 degrees you get 16 degrees.
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Air enters the heating section at 10C and 70 percent relative humidity at a rate of 35 m/min, and it leaves the humidifying section at 20C and 60 percent relative humidity. Determine:(a) the temperature and relative humidity of air when it leaves the heating section,(b) the rate of heat transfer in the heating section, and(c) the rate at which water is added to the air in the humidifying section. diverting conflict between two people by involving a third is known as the concept of: You need 10 million in capital for 7 years. You can choose between two debt instruments, a term loan or issuing bonds. Explain how these two instruments differ in interest and principal payments if the interest rate is 10%. (Set up the payment schedule). Jackson and Cherie both drive taxicabs. Jackson charges a flat fee of $5 per fare plus $1 per mile. Cherie charges a flat fee of $3 per fare plus $2 per mile. They pick up two groups of passengers from the airport going to the same hotel. Let m represent the number of miles between the airport and the hotel. a) Represent Jackson's bill as a polynomial. b) Represent Cherie's bill as a polynomial. c) Write a new polynomial that represents Jackson's and Cherie's combined fares for the trip. d) If they both drove 22 miles, calculate their combined fares. Use the distributive property (FOIL) to determine each product. Show your steps. (2-5 marks each) a) (2 + 5y)2 b)2(2a + 3b) + c) 2x(x2 + x - 1) d) 3(x - 2y)(x + y) e) (2a - 3)(3a? + 5a - 2) Math 10-C: Unit 2: - Assignme f) (x2 + 2x - 1)(x2 - 2x + 1) g) (2x + 3) - 4x(x + 4)(3x - 1) Random variables X and Y are identically distributed random variables (not necessarily independent). We define two new random variables U = X + Y and V = X-Y. Compute the covariance coefficient ouv JU,V = = E[(U - E[U])(V - E[V])] = When encountering a person experiencing an electrical shock, the first thing to do is: a Define a relation a on N by (a,b) e Rif and only if EN. Which of the following properties does R satisfy? b Reflexive Symmetric Antisymmetric Transitive P acquired 100% of the shares of S for $800,000. Following is some selected information from the balance sheet of S:Book Value $Fair Value $Inventory100,000120,000Land250,000300,000Building450,000500,000Accounts Payable150,000150,000Common Stock400,000-Retained Earnings250,000-What amount of goodwill will be reported in the consolidated balance sheet?$0$30,000$120,000$150,000 according to paul in 1 thessalonians, the will of god for the thessalonian believers isthat they might be progressively sanctified and have a strong hope for the future. True or False Compare the alternatives shown below on the basis of their capitalized costs, using nominal interest rate 12% per year, compounded quarterly. (Hint: calculate effective rate per payment period first). Calculate the Capitalized Cost for each alternative and select the best option. Do not select until you have calculated the Capitalized Cost for each alternative. First Cost in $ Salvage value, $ Alternative A Alternative B Quarterly income, $/quarter +55,000 Life, in quarters -350,000 -700,000 +40,000 +50,000 0.00 12 quarters List every the accounting journal entries fromsales process in sales and development, thusexplain each listed entries. (SAP) Chapter 4Describe briefly internal control as it relates to a corporatecompliance program. What are the five interrelated components ofinternal control?Compare and contrast Medicare and Medicaid find the area of the given triangle. round your answer to the nearest tenth. do not round any intermediate computations. 18 62 Fill in the table below. Function Analyzing the graph Graph (identify the asymptotes) lim f(x) = 3 Asymptote y=3 lim g(x) = 2 x-00 Asymptote y=2 lim g(x) = 0 X-3- Asymptote x=-3 lim f(x) = David manufactures snowboards for aspiring Olympic athletes and estimates the following: Designing Department Drilling Department Total Overhead $ 78,000 $ 72,000 $ 150,000 Direct labour hours 6,000 1,600 7,600 Machine hours 12,500 16,000 28,500 David uses departmental overhead rates for his business. In the Designing Department, overhead is applied on the basis of direct labour hours. In the Drilling Department, overhead is applied on the basis of machine hours. Actual data for the month of June is as follows: Designing Department Drilling Department Total Overhead $ 48,700 $ 60,200 $ 108,900 Direct labour hours 3,600 2,200 5,800 Machine hours 10,200 14,000 24,200 Use the above information to answer the following questions.a. What is the predetermined departmental overhead rate for the Designing Department? b. What is the predetermined departmental overhead rate for the Drilling Department? Which of the following changes in water represents a chemical change?(a) Melting of ice.(b) Boiling water.(c) Sublimation of solid ice directly to gaseous water.(d) Electrolyzing water to produce hydrogen and oxygen.(e) Heating water from 250C to 60C. Determine all solutions of the given equation. Express your answer(s) using radian measure. 2 tanx+sec x - 2 = 0a. x= 1/3 + k, where k is any integer b. x= n/6+ nk, where k is any integer c. x = 2n/3 + nk, where k is any integer d. x = 5/6 + mk, where k is any integer e. none of these