i need help with these 2 questions.

I Need Help With These 2 Questions.

Answers

Answer 1

Answer:

Step-by-step explanation:

6). Surface area of a triangular prism = Area of the triangular bases + (Perimeter of the triangular base)×height

Area of one triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                              = [tex]\frac{1}{2}\times 4\times 3[/tex]

                                              = 6 km²

Perimeter of the triangular base = (4 + 3 + 5)

                                                      = 12 km

Height of the triangular prism = 7 km

Surface area of the given triangular prism = 2(6) + (12)(7)

                                                                      = 12 + 84

                                                                      = 96 km²

7). Surface area of a rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = Width and h = Height

By substituting the values from the given question,

l = 9 in, b = 9 in, h = 4 in

Surface area of the rectangular prism = 2(9×9 + 9×4 + 4×9)

                                                               = 2(81 + 36 + 36)

                                                               = 2(153)

                                                               = 306 in²                              


Related Questions

Ella is solving the equation (x+5)2=0 . She writes that the solutions are x=5and−5 .

Anne looks at her work and disagrees. She says that only x=−5 is a solution. Who do you agree with? Explain your reasoning.

Answers

Answer:

Anne

Step-by-step explanation:

Let's solve it by replacing x by 5, then -5.

(5+5)2=0

10*2=0

20=0

(-5+5)2=0

-5 and 5 cancel each other out, and 0 times anything is 0.

0=0

So Anne is correct.

--

hope it helps

Order the angle measures from least to greatest

please help

Answers

Answer:

Least = m<H

Middle = m<J

Greatest = m<I

Step-by-step explanation:

The angle opposite the shortest side would have the shortest angle.  The side opposite the greatest side would have the greatest angle.

Least = m<H

Middle = m<J

Greatest = m<I

A political analyst wanted to see whether there is an association between political affiliation and where a person lives. The analyst took a random sample of 1,250 people in a state and asked them which political party they were affiliated with and what county they lived in. The following are the hypotheses the analyst tested.
H0: There is no association between party affiliation and the county in which a person lives.
Ha: There is an association between party affiliation and the county in which a person lives.
The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively. Which of the following conclusions should be made about political affiliation and where a person lives?
A) There is convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
C) There is convincing statistical evidence to prove that political affiliation and where a person lives are dependent.
D) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
E) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Answers

Answer:

B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Step-by-step explanation:

Chi square test value is greater than the p-value which suggest that we can reject the null hypothesis and there is strong evidence supporting the statement of alternative hypothesis.

The conclusions, made for political affiliation, that there is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

What is random sample?

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

The analyst took a random sample of 1,250 people in a state. The following are the hypotheses the analyst tested-

H0: There is no association between party affiliation and the county in which a person lives.Ha: There is an association between party affiliation and the county in which a person lives.

The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively.

The value of chi square is greater than p-value as,

[tex]19.78 > 0.003[/tex]

Therefore, the null hypothesis can be rejected. There is an association between party affiliation and the county in which a person lives.

Hence, the conclusions, made for political affiliation, that there are convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Learn more about the random sample here;

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Un tercio es menor que cuatro centésimos.?

Answers

Answer:

no por que 1/3 es menor que 4

Step-by-step explanation:

Help SOMEONE???? MATH IS SO HARD!!!​

Answers

Answer:

16. 70%

17. 100%

Step-by-step explanation:

16. As seen here, there are 10 marbles in total. Out of those marbles, there are 7 green marbles.

We can set up a "part to whole" fraction such as 7/10

Then we just find the % value by finding an equivalent "x to 100" ratio (percentages go up to 100)

7/10 = x/100

1000 = 7x

70 = x

17. Fortunately, there doesn't seem to need too much math involved as the only possible marbles are red and green. Therefore, you have a 100% chance of getting a green or red marble.

Hope that helps a bit!

If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm. (Round your answer to three decimal places.)

Answers

Answer:

The diameter decreases at a rate of 0.053 cm/min.

Step-by-step explanation:

Surface area of an snowball

The surface area of an snowball has the following equation:

[tex]S_{a} = \pi d^2[/tex]

In which d is the diameter.

Implicit differentiation:

To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

[tex]\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}[/tex]

Surface area decreases at a rate of 3 cm2/min

This means that [tex]\frac{dS_{a}}{dt} = -3[/tex]

Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.

This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 9[/tex]. So

[tex]\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}[/tex]

[tex]-3 = 2*9\pi\frac{dd}{dt}[/tex]

[tex]\frac{dd}{dt} = -\frac{3}{18\pi}[/tex]

[tex]\frac{dd}{dt} = -0.053[/tex]

The diameter decreases at a rate of 0.053 cm/min.

The following is a data set of five quiz scores.



92, 88, 90, 96, 84



What is the mean absolute deviation of the scores?

Answers

Answer:

The mean absolute deviation is 36.8. Hope this was helpful

Step-by-step explanation:

Solve for x. Show your work:

2x+17+3x = 4x+3x+3​

Answers

Answer:

The answer is 7

Step-by-step explanation:

2x+17+3x=4x+3x+3

5x+17=7x+3

5x-7x=3-17

-2x=-14

x=7

Solve the equation for solutions over the interval ​[0°​, 360°​). 7tanθ−7/3cotθ=0

Answers

Answer:

Step-by-step explanation:

[tex]7\tan \theta-\frac{7}{3}\cot \theta=0\\\tan \theta=\frac{1}{3} \cot \theta\\\tan^2\theta=\frac{1}{3}\\\tan \theta=\pm \frac{1}{\sqrt{3}}\\when ~\tan \theta=\frac{1}{\sqrt{3}}=tan 30,tan (180+30)\\\theta=30^\circ ,210^\circ\\when~ \tan \theta=-\frac{1}{\sqrt{3}}=\tan (180-30),tan(360-30)\\\theta=150^\circ,330^\circ[/tex]

solution set is {30,150,210,330}

Please help! What's the perimeter of Trapezoid ABCD?

Answer and explanation please! <3

Answers

Answer:

Step-by-step explanation:

The formula is P= a+b+c+d

a=base

b=base

c=side

d=side

Please search perimeter of a trapezoid.  It will provide the answer.

Answer:

Perimeter = 19.77 units

Step-by-step explanation:

Perimeter = AB + BC + CD + AD

BC = 5

AD = 8

AB² = 2² + 3² = 4 + 9 = 13

AB = √13 = 3.61

CD² = 1² + 3²  = 1 + 9 = 10

CD = √10 = 3.16

Perimeter = 3.61 + 5 + 3.16 + 8 = 19.77

Select ALL TRUE statements about Linear Functions:
Group of answer choices

The degree of the function is one.

The y values change by a common difference.

The graph is a straight line.

Vertex form is used for graphing.

Answers

Step-by-step explanation:

The degree of the function is one: Correct

The y values change by a common difference: incorrect

The graph is a straight line: Correct

Vertex form is used for graphing: Incorrect

Hope that helps :)

A hairstylist charges $15

Answers

Answer:

Ok.....

Step-by-step explanation:

Was that a question or was that the price you paid for getting a hair cut.

I need a step by step example of how to get the answer if you don't mind.

Answers

Answer:

D

Step-by-step explanation:

This equation may look hard, but all of the steps are in the question, so all we need to do now is plug in the numbers!

The question asks us to round all numbers to the nearest whole number before plugging them in, so we'll round 11.3 down to 11.

Now, we just need to plug in 11 to the equation to ger A=11²pi

11 squared is 121, so now we just need to multiply 121 by pi.

Pi is a long number, but again, the equation asks us to round to the nearest whole number, so since pi is 3.143, we can round that to three.

Now all we need to do is multiply 121 by 3 to get 363!

I hope this helps.

help me u get brainliest plus more points :D

Answers

Answer:

6 is 56.25

7 is 97.50

Step-by-step explanation:

I don’t know what the answer for this

Answers

Answer:

isoceles and right

Step-by-step explanation:

Answer:

I think the answer us B........

sec (x) = -2.3. If x and y are complementary, what is csc (y)?

Answers

Answer:

eat my cog

Step-by-step

PLEASE HELP AND EXPLAIN IT FOR ME :(

Answers

Answer:

15 x 10 x 20 =

Step-by-step explanation:

Answer:

1,100

Step-by-step explanation:

15*10*2=300

20*15*2=600

20*10=200

300+600+200=1,100

you need to find the surface area which means the area of all the sides except the top(bc i think its open???)

a shortcut i used was multiplying sides that have the same area by 2. for example, the side 15*10, there was another side like that, so i multiplied by two instead of having to solve for the other side individually, does that make sense?

check my math if im wrong

Using compatible numbers, which is the best estimate of (28.5)(7.1)?
36
40
210
300

Answers

Answer:

210

Step-by-step explanation:

29*7 = 203, 203 is the closest number to 210!

Answer:

210

Step-by-step explanation:

Given the following data, find the weight that represents the 28 percentile​

Answers

Answer:

so I just tried to find the mean (average) and it was: 6.3

I had $370.00. My Mom gave $150.00. My Dad gave $150.00. My Aunt and Uncle gave me $100.00. I had another $30.00. How much did I have? I will delete the right answers.

Answers

Answer:400

Step-by-step explanation:

A sample of 12 joint specimens of a particular type gave a sample mean proportional limit stress of 8.55 MPa and a sample standard deviation of 0.76 MPa. (a) Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints. (Round your answer to two decimal places.) MPa

Answers

Answer:

95% of the lower confidence interval for the true average proportional limit stress of all such joints

7.7829

95% of the confidence interval for the true average proportional limit stress of all such joints

(7.7829, 9.3171)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 12

Mean of the sample = 8.55

The standard deviation of the sample (S) = 0.76

Step(ii):-

95% of the confidence interval is determined by

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} })[/tex]

Degrees of freedom = n-1 = 12-1 = 11

t₀.₀₂₅ = 3.4966

[tex](8.55 - 3.4966\frac{0.76}{\sqrt{12} } , 8.55 + 3.4966 \frac{0.76}{\sqrt{12} })[/tex]

(8.55 - 0.7671 , 8.55+0.7671)

(7.7829, 9.3171)

Final answer:-

95% of the confidence interval for the true average proportional limit stress of all such joints

(7.7829, 9.3171)

What is the solution set for this inequality?

-8x + 32 -16


x < 6

x > 6

x > -2

x < -2

Answers

Answer:

x>-2

Step-by-step explanation:

-8x+32-16<0

-8x<16

divide both sides by -8

x>-2

that's because when you divide by a negative your inequality sign changes

Simplify Help me please with this question!!!!!

Answers

F/3= -115 hope this helps bro

The quantity of a product demanded by consumers is a function of its price. The quantity of one product demanded may also depend on the price of other products. For example, if the only chocolate shop in town (a monopoly) sells milk and dark chocolates, the price it sets for each affects the demand of the other. The quantities demanded, q1​ and q2​, of two products depend on their prices, p1 and p2, as follows:

q1​=150−2p1​−p2
q2​=200−p1​−3p2​.​

If one manufacturer sells both products, how should the prices be set to generate the maximum possible revenue? What is that maximum possible revenue?

Answers

Answer:

Both prices should be set to #25.

The maximum revenue is #4375

Step-by-step explanation:

Given

[tex]q_1 = 150-2p_1-p_2[/tex]

[tex]q_2 = 200-p_1-3p_2[/tex]

Start by calculating the total revenue (R):

[tex]R = p_1q_1 + p_2q_2[/tex]

[tex]R = p_1(150-2p_1-p_2) + p_2(200-p_1-3p_2)[/tex]

[tex]R = 150p_1-2p_1^2-p_1p_2 + 200p_2-p_1p_2-3p_2^2[/tex]

Collect and solve like terms

[tex]R = 150p_1+ 200p_2-2p_1^2-2p_1p_2 -3p_2^2[/tex]

Differentiate with respect to pi and to p2, respectively

[tex]\frac{dR}{dp_1} = 150 -4p_1 - 2p_2[/tex]

[tex]\frac{dR}{dp_2} = 200 -2p_1 - 6p_2[/tex]

Equate both to 0, to get the critical point

[tex]150 -4p_1 - 2p_2 = 0[/tex]

[tex]200 -2p_1 - 6p_2 = 0[/tex]

Solve for p1 in [tex]150 -4p_1 - 2p_2 = 0[/tex]

[tex]4p_1 = 150 - 2p_2[/tex]

[tex]p_1 = 37.5 - 0.5p_2[/tex]

Substitute [tex]p_1 = 37.5 - 0.5p_2[/tex] in [tex]200 -2p_1 - 6p_2 = 0[/tex]

[tex]200 - 2(37.5 - 0.5p_2) - 6p_2 = 0[/tex]

[tex]200 - 75 - p_2 - 6p_2 = 0[/tex]

[tex]125 - 7p_2 = 0[/tex]

[tex]-7p_2 =-125[/tex]

[tex]p_2 = 25[/tex]

Substitute [tex]p_2 = 25[/tex] in [tex]p_1 = 37.5 - 0.5p_2[/tex]

[tex]p_1 = 37.5 - 0.5 * 25[/tex]

[tex]p_1 = 37.5 - 12.5[/tex]

[tex]p_1 = 25[/tex]

So, we have:

[tex]p_1 = p_2 = 25[/tex]

This implies that the prices should be set to #25.

The maximum possible revenue is:

[tex]R = 150p_1+ 200p_2-2p_1^2-2p_1p_2 -3p_2^2[/tex]

[tex]R = 150 * 25 + 200 * 25 -2 * 25^2 - 2 * 25 * 25 - 3 * 25^2[/tex]

[tex]R = 4375[/tex]

The maximum revenue is #4375

The maximum possible revenue is 4375.

How to calculate the revenue?

From the information given, the following can be deduced:

Q₁ = 150 - 2P₁ - P₂

Q₁ = 150 - 2P₁ - P₂Q₂ = 200 - P₁ - 3P₂

The total revenue will be:

R = P₁Q₁+ P₂Q₂

R = P₁(150 - 2P₁ - P₂) + P₂(200 - P₁ - 3P₂)

R = 150P₁ + 200P₂ - 2P₁² - 2P₁P₂ - 3P₂²

To maximize, differentiate it in both the direction of P₁ and P₂.

d/dP₁ = 150 - 4P₁ - 2P₂

d/dP₂ = 200 - 2P₁ - 6P₂.

Solving for P₁ goes thus:

4P₁ = 150 - 2P₂

Divide through by 4

P₁ = 37.5 - 0.5P₂

Since 200 - 2P₁ - 6P₂ = 0

200 - 2(37.5 - 0.5P₂) - 6P₂ = 0.

P₂ = 25

Therefore, the revenue will be:

= 150P₁ + 200P₂ - 2P₁² - 2P₁P₂ - 3P₂²

= (150 × 25) + (200 × 25) - (2 × 25 × 25) - (3 × 25²)

= 4375

In conclusion, the revenue is 4375.

Learn more about revenue on:

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What is the answer please help no links

Answers

Answer:

The answer is 432

Step-by-step explanation:

Multiply

ANSWER ASAP! ALL SCAM LINKS WILL BE REPORTED.

Answers

Answer:

y=55+15x

Step-by-step explanation:

Answer:

The answer is (C) y = 55 + 15 x

Step-by-step explanation:

This is because the cost of the plan must be added to the cost of the lines to find the total cost. The equation for option (C) correctly depicts that y the plan, needs to be added to x the lines. This equation correctly shows the relationship between the two numbers.

A gumball machine contains gumballs in several different colors.

orange 26
yellow 2
green 3
purple 1
red 1

If you purchase one gumball from the machine, what is the probability it will be green?

Write your answer as a fraction or whole number.

Answers

The correct answer is 1/11

A quadrilateral has angles that measure 115, 97, and 68. What is the measure of the missing angle? Plz help me I don't know the answer!!!

A.45
B. 115
C.68
D.80

Answers

Answer:

Step-by-step explanation:

The sides of a quadrilateral always add up to 360°.

Missing angle = 360-115-97-68 = 80°

Answer:

D. 80°

Step-by-step explanation:

A quadrilateral always add up to 360°

To find the missing value we first have to add the given number up:

115 + 97 + 68 = 280°

Now we minus our value from 360° :

360° - 280° = 80°

Hope this helps!

The figure shows a gas tank in the form of a rectangular prism that is 40% full. How many more gallons of gas will it take to fill the tank? (1 gallon = 231 in.3)

Answers

Answer:

10.8 gallons

Step-by-step explanation:

First change everything to inches:

2.75 ft = 33 in

1.5 ft = 18 in

Volume of tank = lwh = (33)(18)(7) = 4158 in³

The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³

Now find out how much 2494.8 in³ is in gallons:

231 in³ = 1 gallon

1 in³ = 1/231 gallons

2494.8 = (1/231)(2494.8) gallons = 10.8 gallons

Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes below.
a) n=14
b) n = 28
c) n = 45
a) The margin of error for a 90% confidence interval when n = 14 is
(Round to two decimal places as needed.)
b) The margin of error for a 90% confidence interval when n=28 is
(Round to two decimal places as needed.)
c) The margin of error for a 90% confidence interval when n = 45 is
(Round to two decimal places as needed.)

Answers

Answer:

a) The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is 10.02.

Step-by-step explanation:

The t-distribution is used to solve this question:

a) n = 14

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 13

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) n = 28

27 df, T = 1.7033

[tex]M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88[/tex]

The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is

44 df, T = 1.6802

[tex]M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02[/tex]

The margin of error for a 90% confidence interval when n = 45 is 10.02.

Other Questions
Test the fairness of the die with = 0.10Obs: 38 56 30 34 52 30Can you conclude that the die is fair? Why or why not. Case StudyCharlotte is being groomed for a future position at an executive level within a multinational organization in the petrochemical industry. She has performed a variety of roles within the company, all of which were located in her home country, and in non-technical areas. The organizations policy is for each individual on its fast track to occupy at least one position overseas, running a subsidiary or overseas office.Charlotte was offered a position in Algeria, a predominantly Arabic-speaking and Muslim North African country. It was a relatively new location for the organization. It had opened an office there because oil had recently been discovered offshore and there was a great opportunity to drill for oil and share in the proceeds with the government. Charlotte had not been briefed in any way about the country, its security concerns or politics, only about the exciting oil partnership deal. She had decided that as it was located close to Europe, she could fly back to her home country fairly easily if required. With a husband willing to take a leave of absence from his job, and her young children excited for the "new adventure," she was all set.A few weeks before starting her new assignment, Charlotte travelled to the country in question. Her first meeting was with the US ambassador, (as there was no UK embassy in the country), who warned her that her forthcoming appointment was already widely known about, and not just in a positive way. She was already apparently on the radar of Al-Qaeda, which was known to be operating within the country. Whats more, her place of residence was right next to the TV station, which had been taken over recently during a coup d'tat. To make matters worse, on meeting with the newly appointed oil minister, he announced that the formula for the royalties split was being amended, so that her organization would receive less than what had been agreed upon initially, so it seemed she would face a tough challenge in dealing with the government. Charlotte met with a couple of locally recruited staff to get acquainted with them in advance of her assignment. The employees turned out to be contractors, and all appeared to be relatives of government ministers, their appointments ratified by the government. None spoke English and no one had any expertise in the oil industry.Finally, the employee discovered that there were no schools which provided schooling in English or even French. Arabic was the national language. With small children, she had assumed there would be plenty of English-speaking nannies and teachers. As for her husband, who had planned to take leave of absence from his job, it transpired that the government was not granting entry visas for anyone other than direct employees working for organizations that had contracted with the government.QuestionIn the absence of pre-departure training, discuss some aspects of Algerian culture, society, language, etiquette, manners, protocol, etc. would Charlotte likely experience that could lead to culture shock and psychological disorientation should she accept this international assignment? [15 marks] Make vs. Buy (Sourcing Decision) Eggers Company needs 37,000 units of a part to use in producing one of its products. If Eggers buys the part from McMillan Company for $100 instead of making it, Eggers will not use the released facilities in another manufacturing activity. Forty percent of the fixed overhead will continue irrespective of CEO Donald Mickeys decision. The cost data are as follows:Cost to make the part: Direct materials $ 37 Direct labor 20 Variable overhead 28 Fixed overhead 20 $ 105 Required:1. Determine which alternative is more attractive to Eggers, and by what amount. Regulation of the lac operon by the CAP protein is an example of gene regulation at what level? Georgia Gwinnett College has decided to conduct an experiment to test the effects of tutoring sessions on freshman student grades in a basic chemistry class. 50 freshman GGC students taking the chemistry class are selected to participate in the study. Half are randomly assigned to receive once-a-week tutoring sessions after the midterm exam until the final exam. Half are not provided the tutoring sessions. The midterm and final exam grades for all students are obtained by the researchers and compared to see if the students who received the tutoring sessions showed a higher level of improvement in their final exam grades. 1. In the above experimental design, what are the test units? 2. What is the independent variable? 3. What is the dependent variable? 4. Is this a lab or field experiment? 5. What are two potential extraneous variables in the context of this experiment? At of 6.5 percent and a cost of equity of 11.9 percent. The debt-equity ratio is .75. As n's weighted average cost of capital? Which statement is true regarding changes in the rate of teenage pregnancy?O Teenage pregnancies have decreased with increased sex education, especially abstinence programs taught in the school system.O The number of teenage pregnancies has remained unchanged over the past 5 years.O The number of teenage pregnancies has decreased significantly over the past two decades.O The number of teenage pregnancies has increased by 25 percent over the past two decades. Ivanhoe Corporation borrowed $62,400 on November 1, 2020, by signing a $63,600, 3-month, zero-interest-bearing note. Prepare Ivanhoes November 1, 2020, entry; the December 31, 2020, annual adjusting entry; and the February 1, 2021, entry. (If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts. Credit account titles are automatically indented when amount is entered. Do not indent manually. Record journal entries in the order presented in the problem.) Represent the vector v in the form v = ai + bj whose magnitude and direction angle are given. |v|=4/5, =207 true/false answer section provided.An information systems audit is an examination of the management controls within an Information technology (IT) infrastructure and business applications.The external auditors represent outsiders, internal auditors represent the interests of the organization.Fraud audit may be initiated by management who suspect employee fraud.Control risk is the likelihood that the control structure is flawed because controls are either absent or inadequate to prevent or detect errors in the accounts.The purpose of transaction authorization is to ensure that all material transactions processed by the information system are valid and in accordance with managements objectives. If C = 6 2 - 2 2 3 1 2 2 2 B And B is the basis (b1,b2,63 }, where , b2 = 21, 63 11:11 62-63 = ) Find the matrix of the transformation Cx in the basis B. A monopoly sells its goods in the United States, where the elasticity of demand is -2, and in Japan, where the elasticity of demand is -5. Its marginal cost is $10. At what price does the monopoly sell its goods in each country if resale is impossible? be specific to the questions and answer them.COMPANY RESEARCH Independently, pick a company of your choice. Read their sustainability plan, often available through their website What kinds of goals have they outlined? Where is their focus in Given a random sample of size 17 from a normal distribution, find k such that (a) P(-1.337 (b) Find P(k(c) Find P(-kClick here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. (a) k = ___ (Round to three decimal places as needed.) a. write the estimated regression model equationb. interpret regression model coefficientsc. Are the intercept and slope significant in the model?d. If an employee has 3.3 years of experience, predict the average annual salary using simple regression evidence. Identify the power that allows the president to take each action.___________ declaring war sign a nuclear weapons agreement with Russia___________ send the Army Corps of Engineers to a disaster area___________ appointing ambassadors and judges select a new Supreme Court Justice Problem statement - Supply Chain Coordination Part IIS-Mart is a local convenience store (retailer), which manages an inventory of a SKU for resell to customers. S-Mart faces a constant demand for the SKU (i.e., demand rate is "horizontal" and not random) with the annual total demand being 25,000 units, and orders from a local supplier for resupplies.S-Mart uses the EOQ model to manage its inventory. It costs $60 ordering cost for S-Mart to place an order. The supplier charges S-Mart $50 for each unit of supply. S-Marts inventory holding cost per unit, per year is 35% of the cost of purchase from the supplier. (Let's assume all assumptions for the EOQ model are satisfied.)For every order received from S-Mart, the supplier executes one production run to fully and instantly meet the order's requirement. The suppliers setup cost for each production run is $180. The supplier delivers the order to S-Mart immediately after production, so the supplier holds no inventory.(Continue with supply chain in "Supply Chain Coordination Part I", but with the following new information.)Suppose that you correctly calculate the costs of S-Mart and the supplier to be as follows:If S-Mart uses the EOQ that is optimal for itself (i.e., S-Mart), thenS-Mart's annual total costs = $6,480The supplier's annual total costs = $9,702If S-Mart uses the EOQ that is optimal for for the supply chain (i.e., S-Mart and the supplier combined), thenS-Mart's annual total costs = $8,103The supplier's annual total costs = $4,858Answer the following questions:1. To create an incentive for S-Mart and the supplier to participate in "coordination" with a transfer payment, it must be paid by _____ to the other firm.Group of answer choices:S-MartThe supplierNeither2. The amount of the payment must fall in the range of [ Select ] ["from $3,222 to $3,245", "from $4,858 to $6,480", "from $8,103 to $9,702", "from $1,623 to $4,844"] hydroxide relaxers: a. are strong acids b. break disulfide bonds permanently c. are neutralized with hydrogen peroxide d. are compatible with thio relaxers The height, h metres, of a soccer ball kicked directly upward can be modelled by the equation h(t)= -4.912 + 13.1t+1, where t is the time, in seconds, after the ball was kicked. a) How high is the ball after 2 s? b) After how many seconds does the ball reach a height of 0.5 m? Which of the following terms best describes the assumption made in applying the four inventory methods?a. physical flowb. goods flowc. cost flowd. asset flow