We have the following semidefinite programming problem
(SDP):
What will be vector c for this task:
1. (0, 0, 1)
2. (1, 0)
3. (0, 1)
4. (0, 1, 0)

Answers

Answer 1

The vector c for this SDP problem is (0, 1, 0).

The semidefinite programming problem (SDP) is given as follows:

{(x, y, z):〈c, x〉 + 2 〈(0, 0, 1), yz〉 → max; x ∈ R², y ∈ R³, yᵀ Q y + 〈(1, 0), x〉 ≤ 1},where Q is the matrix(1, 0, 0;0, 1, 0;0, 0, 0).

The given SDP problem is{(x, y, z):〈c, x〉 + 2 〈(0, 0, 1), yz〉 → max; x ∈ R², y ∈ R³, yᵀ Q y + 〈(1, 0), x〉 ≤ 1},where Q is the matrix(1, 0, 0;0, 1, 0;0, 0, 0).

We need to find the vector c that should be used in the SDP.

Let us consider each vector from the given options one by one.

(0, 0, 1): The first term of the objective function is zero because x ∈ R².

The second term becomes 2z, which is non-zero when z is non-zero.

Hence, this is not the correct choice.(1, 0): The first term of the objective function becomes x₁, which is non-zero in general.

Hence, this is not the correct choice.(0, 1):

The first term of the objective function becomes x₂, which is non-zero in general.

Hence, this is not the correct choice.(0, 1, 0): The first term of the objective function becomes x₃, which is zero in general.

Hence, this is the correct choice.

Therefore, the vector c for this SDP problem is (0, 1, 0).

Hence, option 4 is the correct choice.

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Related Questions

Which of the following functions is graphed below?

Answers

Answer:

non of the above thanks

don't ask me again please

Answer:

where are the functions ???

Step-by-step explanation:

A(n) ______________ is an approximate answer

Answers

Answer:

approximation

Step-by-step explanation:

A(n) approximation is an approximate answer.

Answer:

\(\boxed{\red{approximation}}

\)

Step-by-step explanation:

\(A(n)\blue{ \: \: approximation}

\: \: is \: \: \\ an \: \: \: approximate \: \: \: answer

\)

hope this helps you.

Archaeopteryx often is referred to as a transitional fossil because its fossils suggest that it is an intermediate organism between dinosaurs and birds. Transitional forms in the fossil record, such as Archaeopteryx, provide evidence for which pattern of evolution

Answers

Transitional forms in the fossil record, including Archaeopteryx, provide evidence for the pattern of evolution known as "gradualism."

This pattern suggests that species change over time through a slow and continuous process of accumulation of small, incremental changes. Transitional fossils like Archaeopteryx exhibit characteristics that are intermediate between two different groups of organisms, indicating a gradual transition from one form to another.

The presence of transitional fossils supports the idea that species do not undergo abrupt transformations but instead evolve gradually over long periods of time.

These fossils provide a tangible link between different groups of organisms, such as dinosaurs and birds in the case of Archaeopteryx, and offer evidence for the gradual transformation of one group into another. This supports the broader concept of evolution as a slow and continuous process of change in populations over generations.

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Here is my question.

Here is my question.

Answers

Answer: True False True true

Step-by-step explanation:

Answer:

true

false

true

true

Step-by-step explanation:

What function is graphed below?

What function is graphed below?

Answers

Answer:

\(y\ =\ \ \tan\theta\ +2\)

Step-by-step explanation:

20 Points. will give brainliest.
Which one doesn't belong?

20 Points. will give brainliest.Which one doesn't belong?

Answers

Answer:

Depends, either option 3 or 4. I would say 4

Step-by-step explanation:

1,2,3 have the same line, just rotated, and 4's line is different

1,2,4 all start at the origin, tho

How long would it take R20000 invested today at a simple interest rate of 9% p.a. to reach an investment goal of R30000.
A Approximately 5.6 years
B Approximately 6.1 years
C Approximately 4.7 years
D Approximately 5.1 years

Answers

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)

What numbers are least to greatest 1/2,1/4,1 and3/4, 1.5, 1.75

What numbers are least to greatest 1/2,1/4,1 and3/4, 1.5, 1.75

Answers

One way to solve the exercise is to view the fractions in decimal form and then order the numbers from least to greatest. So, you have

\(\begin{gathered} \frac{1}{2}=0.5 \\ \frac{1}{4}=0.25 \\ 1\frac{3}{4}=\frac{1\cdot4+3}{4}=\frac{4+3}{4}=\frac{7}{4}=1.75 \\ 1.5=1.5 \\ 1.75=1.75 \end{gathered}\)

Now, to order the decimal numbers, first compare their whole part, then the tenths, and then the hundredths. So you have

\(\begin{gathered} 0.25 \\ 0.5 \\ 0.75 \\ 1.7 \\ 1.75 \\ 1.75 \end{gathered}\)

Therefore,

-x = 10
I will____ both sides by_____

x= _____

 -x = 10I will____ both sides by_____ x= _____

Answers

Answer:

I will subtract both sides by 10. X=-10

Step-by-step explanation:

X= -10 because if you subtract it to -x it will cancel out the negative.  

Answer:

I will divide both sides by -1.

x = -10

Step-by-step explanation:

To solve this, we have to isolate x on one side of the equation. In this equation, 10 = -x.

Remember that the coefficient of a single variable is always 1, so 1x = x. We have -x, which means it's actually -1x. Solve using -1x instead of -x.

\(-x=10\)

\(-1x=10\)

Divide both sides by -1 to isolate x.

\(\frac{-1x}{-1} =\frac{10}{-1}\)

Simplify.

\(x = -10\)

x is equal to -10.

The answer is I will divide both sides by -1.

x = -10

I hope this helps :)

Using technology, we found that Juan's investment account can be modeled by the function, c(x)=3x2-2x+10, in
thousands of dollars. What was Juan's initial investment?
O $5
o $10
o $5,000
$10,000

Answers

Answer:

$10

Step-by-step explanation:

"Initial" here means "beginning."  That is, time = x = 0.  If we let x = 0 here we get c(0) = 10, which is the desired answer.  Juan's initial investment was $10.

Pls help me thanks :)))

Pls help me thanks :)))

Answers

Answer:

y = - 1 , y = 17

Step-by-step explanation:

y² - 16y + 64 = 81 ← y² - 16y + 64 is a perfect square

)y - 8)² = 81 ( take the square root of both sides )

y - 8 = ± \(\sqrt{81}\) = ± 9 ( add 8 to both sides )

y = 8 ± 9

then

y = 8 - 9 = - 1

x = 8 + 9 = 17

which is the largest living thing?

Answers

in scientific depth most scientists would argue the universe but visually planets as we cannot see all of the universe

Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years:


Number of years 1 2 3
Option 1 (amount in dollars) 1100 1210 1331
Option 2 (amount in dollars) 1100 1200 1300


Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your answer. (2 points)

Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. (4 points)

Part C: Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 20 years for each option. (4 points)

Answers

A) The type of function that can be used to describe the value of the investment after a fixed number of years using option 1 and option 2 are respectively; Linear Function and Exponential function.

B) One function for each option to describe the value of the investment f(n), in dollars, after n years.;

Option 1; f(n) = n + 100

Option 2; f(n) = n + 100x

C) The amount from option 1 after 20 years would be 3000 and the amount from option 2 after 20 years would be 4900

How to solve Linear functions?

A) For option 1, the linear function can be used to describe the value of the investment after a fixed number of years. This reason is that, in option one, the amount increases by a fixed amount every year.

For option 2, the exponential function can be used to describe the value of the investment after a fixed number of years. The reason is that, in option 2, the amount increase is higher than the previous year.

B) For option 1, the function is;

f(n) = n + 100

For option 2, the function is;

f(n) = n + 100x

C) After 20 years, the amount from option 1 would be 3000 and the amount from option 2 would be 4900. Thus, there is a difference of 1900.

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If the length of a is 6, the length of b is 4, and the length of c is 7, what is the measure of angle B

Answers

Answer:

B = 34.77°

Step-by-step explanation:

For this problem you are given all three side lengths and asked to find an angle. To do this you can use the law of cosines which is written:

\(b^{2} =a^{2} +c^{2} -2ac Cos(B)\)

This can be rearranged to find the angle B:

\(b^{2} -a^{2} -c^{2} /-2ac = Cos(B)\)

With lowercase letters being sides and uppercase being angles.

We simply plug in the sides and solve:

\(4^{2} -6^{2} -7^{2}/-2*6*7= Cos(B)\)

0.8214 = Cos (B)

Then you use inverse cosine to get angle B alone.

B = 34.77°

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Use the circle graph shown below to answer the question.

A pie chart labeled Favorite Sports to Watch is divided into three portions. Football represents 42 percent, baseball represents 33 percent, and soccer represents 25 percent.

If 210 people said football was their favorite sport to watch, how many people were surveyed?


Natalie picked 135 berries in 15 minutes. If she continues picking at that rate, how many total minutes will it take her to pick 486 berries?


a. Find the unit price for each option shown below. Round to the nearest cent when necessary.

Option I: 10 candy bars for $6.75

Option II: 12 candy bars for $7.25


b. Which option is the better buy.



Solve the proportion.
16
50
=
x
156
.
25




A jacket's original price is $65.00. It is on sale for 40% off. You have to pay 5% sales tax. What is the final price for the jacket?

Answers

A) 500

B) 54 minutes

C) 68cents and 60 cents

D)

E) $40.95

Proportions

A proportion is a statement that says that two ratios are equal. They can be used in many everyday situations like comparing sizes, cooking, calculating percentages, and more.

Proportions can be written as equivalent fractions or as equal ratios.

A) 42% = 210

100% = (210 x 100)/42

= 500 people

B) 135 berries = 15 minutes

    486 berries = ??minutes

= (486 x 15)/135

= 54 minutes

C) unit price = $6.75/10 = 0.675cents or 68cents

    ii) unit price = $7.25/12 = 0.604cents or 60cents

D) Inconclusive question.

E) 40% of 65 = $26

65 - 26 = $39

Tax = 5% = $1.95

Total = $39 + 1.95

Final Price of jacket = $40.95

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You have a coin collection of nickels and dimes containing 63 coins. If you have
$5.05, how may of each coin do you have?

Answers

Answer: 25 nickels

Step-by-step explanation:

EQUATIONS:

quantity: n + d = 63

value: 5n + 10d = 505

-------------------------

Divide thru the 2nd equation by 5 to get:

n + 2d = 101

----------------

Subtract that from the 1st equation:

-d = -38

d = 38 (# of dimes)

---------------

Substitute that into n+d=63 to solve for "n":

n + 38 = 63

n = 25 (# of nickels)

suppose we want to estimate the mean quality ratings for the dfw airport. a simple random sample of 25 travelers at this airport is selected and each traveler is asked to provide a rating for this airport. the maximum possible rating is 5. the sample provided a mean of 3.84 and a standard deviation of 0.55. assume the population of ratings is approximately normal. an 80% confidence interval estimate of the population mean rating is:

Answers

The 80% confidence interval estimate of the population mean rating for DFW airport can be calculated using the formula:

Margin of error = (Z-score)*(standard deviation/sqrt(sample size))

where the Z-score for 80% confidence level is 1.28.

So, the margin of error = (1.28)*(0.55/sqrt(25)) = 0.28.

Therefore, the confidence interval estimate can be calculated by subtracting and adding the margin of error to the sample mean:

Confidence interval = sample mean ± margin of error
Confidence interval = 3.84 ± 0.28
Confidence interval = (3.56, 4.12)

The question requires us to find an 80% confidence interval estimate for the population mean rating of DFW airport using a sample of 25 travelers. The formula for the margin of error is used to calculate the range of values within which the population mean is likely to fall. The Z-score for the 80% confidence level is used in the formula. We then use this margin of error to calculate the confidence interval estimate by adding and subtracting it from the sample mean. This gives us a range of values within which we can be confident that the population mean rating falls.

The 80% confidence interval estimate for the population mean rating of DFW airport is (3.56, 4.12). This means that we can be 80% confident that the population mean rating falls within this range of values. The sample mean of 3.84 is the best estimate of the population mean rating, and the margin of error of 0.28 indicates the level of uncertainty in this estimate.

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Use properties of parallel lines to find the value of x.

Use properties of parallel lines to find the value of x.

Answers

Answer:

x = 73

Step-by-step explanation:

x-5 = 68 due to parallel lines

Which of the following is a factor of x
3
+ 1000?

Answers

Answer:

can you please make your question clear

1. Solve.
: 1/2 divided by 2/1

Answers

Answer:

The answer to this one is 0.25

A company has a machine that makes "acceptable" products 98% of the time. If 600 random products are tested, what is the varlance for acceptable products in the sample?

Answers

The variance for acceptable products in the sample is 11.76.

How to find the variance for acceptable products in the sample?

The variance for  a random variable X representing the number of acceptable products in the sample can be determined using the formula:

Var(X) = n * p * (1 - p)

Where:

n is the number of products in the sample

p is the probability of a product being acceptable

In this case, n = 600 and p = 98% = 0.98

Substituting the values into the formula:

Var(X) = 600 * 0.98 * (1 - 0.98)

Var(X) = 600 * 0.98 * 0.02

Var(X) = 11.76

Therefore, the variance for acceptable products in the sample is 11.76.

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a marksman has a probability of 0.623 for hitting a certain long range target. what is the probability that it takes 4 shots for the marksman to hit the long range target?

Answers

The probability that it takes 4 shots for the marksman to hit the long-range target is approximately 0.1466, or 14.66%.

To calculate the probability that it takes 4 shots for the marksman to hit the long-range target, we assume each shot is independent and has a success probability of 0.623. The probability of hitting the target on the fourth shot can be calculated using the binomial distribution. The formula for the probability mass function (PMF) of the binomial distribution is:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of exactly k successes,

n is the number of trials,

k is the number of successful trials,

p is the probability of success on a single trial, and

C(n, k) is the binomial coefficient, given by C(n, k) = n! / (k! * (n - k)!)

In this case, n = 4 (the number of shots), k = 4 (the number of successful shots), and p = 0.623 (the probability of hitting the target on each shot). Substituting these values into the formula, we can calculate the probability:

P(X = 4) = C(4, 4) * 0.623^4 * (1 - 0.623)^(4 - 4)

C(4, 4) = 4! / (4! * (4 - 4)!) = 1

P(X = 4) = 1 * 0.623^4 * (1 - 0.623)^(4 - 4)

= 1 * 0.623^4 * 1

= 0.623^4

= 0.1466

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find the product of the integers 2(-4)

Answers

Answer:

-8

Step-by-step explanation:

2(4)=8, and a negative number times a positive number results in a negative number.

At the rate shown in the table, how many weeks did it take to sell 700 books? [Type your answer as a number.]

Answers

Answer:

3

Step-by-step explanation:

Answer:

10 weeks

I hope this help you

To prove angle ABC is isosceles?

To prove angle ABC is isosceles?

Answers

Step-by-step explanation:

m < (CAB ) = m < ( c B A ).....

A doctor is using a treadmill to assess the strenght of a patient's heart. He sets the 48-inch long treadmil at an incline of 10⁰,how high is the end of the treadmill raised

Answers

The end of the 48-inch long treadmill is raised approximately 8.36 inches.

The incline of the treadmill is given as 10 degrees.

We can use trigonometry to calculate the height of the end of the treadmill.

The height (h) can be found using the formula h = l * sin(θ), where l is the length of the treadmill and θ is the angle of inclination.

Substitute the values into the formula:

h = 48 inches * sin(10 degrees)

Calculate the sine of 10 degrees using a calculator:

sin(10 degrees) ≈ 0.1736

Multiply the length of the treadmill by the sine of the angle:

h = 48 inches * 0.1736 ≈ 8.36 inches

The end of the 48-inch long treadmill is raised approximately 8.36 inches when set at an incline of 10 degrees.

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Two customers took out loans from a bank.
Jacob took out a 3-year loan for $8,000 and paid 4.2% annual simple interest
Christian took out a 5-year loan for $8,000 and paid 3.9% annual simple interest.
What is the difference between the amounts of interest Jacob and Christian paid for their loans?
A.635.59
B.1560.00
C.1008.00
D.552.00

Answers

The difference between the amounts of interest Jacob and Christian paid for their loans is $552.

To calculate the amount of interest paid by Jacob and Christian, we can use the simple interest formula:

Interest = Principal x Rate x Time

Where,

Principal: the amount of the loan

Rate: the annual interest rate

Time: the duration of the loan in years

For Jacob's loan:

Principal = \(\$8,000\)

Rate = 4.2%

Time = 3 years

Interest = \(\$8,000 * 4.2\% * 3 = \$1,008\)

Therefore, Jacob paid $1,008 in interest.

For Christian's loan:

Principal = \(\$8,000\)

Rate = 3.9%

Time = 5 years

Interest = \(\$8,000 * 3.9\% * 5 = \$1,560\)

Therefore, Christian paid $1,560 in interest.

The difference between the amounts of interest Jacob and Christian paid for their loans is:

\(\$1,560 - \$1,008 = \$552\)

Therefore, the answer is D. \(\$552\).

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sarah has a coupon 25% off any item at the big fish store. If she buys an item reguarly marked $60, What is her sale price?

Answers

Answer:

$45

Step-by-step explanation:

60×0.75=45

Hope this helps

At the big fish store, Sarah has a coupon good for 25% off any purchase. She will pay $45 for a $60 item if she purchases it at a reduced price.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that Sarah has a coupon for 25% off any item at the big fish store. If she buys an item regularly marked $60,

Sale price =Original price - discount

Sale price = $60 - 25% of  $60

Sale price = $60 - $ 15

Sale price = $45

Thus, at the big fish store, Sarah has a coupon good for 25% off any purchase. She will pay $45 for a $60 item if she purchases it at a reduced price.

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Jane belongs to a book club. She pays a flat fee of $8 to ship any number of books. She is able to purchase
the books for $10 each. Which of the following choices shows the expression that represents
1. Jane's situation and
2. how much it would cost her if she bought 8 books?
a. 10+8b, the cost would be $88.
b. 8+10b, the cost would be $88.
C. 8+10b, the cost would be $74.
d. 10+8b, the cost would be $74.

Answers

Answer:

b.8+10b,the cost would be $88

Step-by-step explanation:

if she buys 8 books worth $10 each

so 8×10= 80

plus $8 for shipment

so $80 +$8 =$88

Robert and Tony love to read. Robert reads 30 pages the first day and 20 pages each day after that. Tony reads 40 pages the first day and 15 pages each day after that. Will the boys ever read the same amount of pages? If so, how many days will it take them to read the same number of pages? A. Yes. They will read the same amount of pages in 3 days. B. Yes. They will read the same amount of pages in 5 days. C. Yes. They will read the same amount of pages in 6 days. D. No. They will never read the same amount of pages.

Answers

Answer:

Yes they will read the same amount of pages in 3 days

Step-by-step explanation:

Because when you do the math they add up to the same amount of pages.

The correct statement is;

''Yes. They will read the same amount of pages in 2 days.''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Robert reads 30 pages the first day and 20 pages each day after that.

And, Tony reads 40 pages the first day and 15 pages each day after that.

Now,

Let the number of days for same pages read = x

So, We can formulate;

For Robert;

Number of pages = 30 + 20x

For Tony;

Number of pages = 40 + 15x

For equal days, we get;

⇒ 30 + 20x = 40 + 15x

Solve for x as;

⇒ 20x - 15x = 40 - 30

⇒ 5x = 10

⇒ x = 2

Thus, The correct statement is;

''Yes. They will read the same amount of pages in 2 days.''

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. A uniform distribution is having the following shape ___. A. bell-shaped C. bimodal B. rectangular D. triangular Genetic therapy and engineering __________.A. have no value for our futureB. have been used for many years to prevent genetic diseasesC. are simple procedures that most doctors can performD. are controversial scientific procedures Can someone please help Is the sum of 3+ The Square root of 7 a rational number? What is the complete factorization of the polynomial below?x3 + 5x2 - x-5A. (x - 1)(x - 1)(x + 5)B. (x + 1)(x - 1)(x + 5)C. (x+1)(x-1)(x-5)D. (x - 1)(x-1)(x - 5) 12. The key to description isA. showing only the steps you consider important.B. considering only what you think the reader already knows.C. giving the reader enough detail to form a picture in his or her mind.D. telling the reader how you would do something. Sam and Chris were friends and went to the bar together. Both of them had two glasses of wine (Merlot). Sam was small and weighed 170 lbs. while Chris was a bigger guy weighing in at 275lbs. Chris always wanted to buy Sams 2019 Harley Davidson motorcycle but Sam always told him that it wasnt for sale. Chris had his concealed weapon on him at the bar and gestured toward the weapon. Chris stood up and told Sam to seriously reconsider whether his motorcycle was for sale while consistently showing the imprint of his weapon against his jeans. Sam thought Chris was armed with a gun and immediately told Chris that his motorcycle was now for sale. Chris demanded a sale price of only $3,000 and Sam sold the motorcycle. The following day, Sam went to see his lawyer to discuss whether the sale of his motorcycle was valid. Specifically, he mentioned to his lawyer that he two glasses of wine and couldnt remember all of the details of the event. In addition, he told his lawyer that he felt pressured by Chris to sell his motorcycle and wasnt sure whether he was armed. argument b war is sometimes justified. this is given that some wars are waged with altruistic motivation and others are pursued for less moral reasons, such as greed or colonization. the justification for war is evidenced by the brute reality that war will be waged against us if we do not act to prevent it, and this conclusion is also indicated by the great utilitarian benefits from war that can be observed in history. Based on years of weather data, the expected low temperature T (in oF) in Fairbanks, Alaska, can beapproximated byT = 36 sin2365(t 101)+ 14,where t is in days and t = 0 corresponds to January 1.(a) Find the amplitude, the period, and the phase shift. Then sketch the graph of T for 0 t 365.(b) Predict when the coldest day of the year will occur. Which of these is an example of a domestic issue faced by the United States government?ABCnegotiating peace treatiestrade agreements with neighboring countriesbSocial Security and Medicare reformD the nation's alliance with the United KingdomHURRY UP PLEASE 7) After 2 years of continuous compounding at 11.8% the amount in an account is $11,800. What was the amount of the initial deposit? A) $14,940.85 B) $8139.41 C) $13,760.85 D) $9319.41 A die was rolled six times. The rolls were 1, 2, 3, 3, 4, and 5. What is the mean deviation for this data? Adam Smith's The Wealth of Nations introduced what economic policy? car buyer bought a used car for $20,250. The car depreciates by 11% per year. The following equation describes the value of the car, where y represents the number of years since the car was purchased. v ( y ) = 20 , 250 ( 1 0.11 ) y Which equation is equivalent and can be used to determine the value of the car 6 months after it was purchased? v ( y ) = 20 , 250 ( 0.89 ) 6 v ( y ) = 20 , 250 ( 0.89 ) 6 v ( y ) = 20 , 250 ( 0.89 1 12 ) 6 v ( y ) = 20 , 250 ( 0.89 1 12 ) 6 v ( y ) = 20 , 250 ( 0.89 ) 1 12 ( 0.89 ) 6 v ( y ) = 20 , 250 ( 0.89 ) 1 12 ( 0.89 ) 6 v ( y ) = 20 , 250 ( 0.89 ) 6 ( 0.89 ) 6 Chain-of-thought prompting elicits reasoning in large language models are called:_______ Tubman put herself at risk of recapture and death to free other slaves, breaking the law to do so. in the context of the text and tubman's legacy, what is good and how do we know Please help me I need help Who wrote 'The social contract?" Where does the normal line to the paraboloid z = x2 + y2 at the point (3, 3, 18) intersect the paraboloid a second time? If Nathan scoops 8.5 cups of ice cream in 2 minutes, how many scoops of ice cream can he do in 8 minutes?