Can someone help me with this. Will Mark brainliest.

Can Someone Help Me With This. Will Mark Brainliest.

Answers

Answer 1

Answer:

√53

Step-by-step explanation:

Use the distance formula to find the distance between the two coordinates


Related Questions

Question is in picture

Answers

200 :)
Because I’m guessing that the house is 90m and the store is 110m so add that and it’s 200
Hope this helps

what is the solution
a: (6,5)
b: (5,6)
c: (1,2)
d: (2,1)

Answers

Answer:

(5,6)

Step-by-step explanation:

I'm guessing you mean the coordinates for the point where the lines intersect

Answer:

I believe it is b: (5,6)

Explanation:

The point (5,6) is the only point on the graph that both lines go through.

What are the solutions to the quadratic equation 4(x + + 2)2 = 36
O x= -11 and x = 7
Ox= -7 and x = 11
O x= -5 and x = 1
Ox= -1 and x = 5

Answers

Answer:

x= -1 and 5

hope that helps

The solutions to the quadratic equation [tex]4(x+2)^2=36[/tex] are x = -5 and x = 1.

Given the following data:

[tex]4(x+2)^2=36[/tex]

How to solve a quadratic equation.

In this exercise, you're required to determine the value of x by solving for the factors (roots) of the given quadratic equation.

In Mathematics, the standard form of a quadratic equation is given by;

[tex]ax^2 + bx + c =0[/tex]

Where:

a = 4.b = 16.c = -20.

Dividing both sides by 4, we have:

[tex]4(x+2)^2=36\\\\(x+2)^2=9[/tex]

Taking the square root of both sides, we have:

[tex]x+2=\pm3\\\\x=\pm 3-2[/tex]

x = -5 or 1.

Read more on quadratic equation here: brainly.com/question/1214333

Answer fast plsssssss

Answers

Answer:

i cat see it

Step-by-step explanation:

A scientist used 60 grams of sodium nitrate during an experiment. One ounce is approximately equal to 28.3 grams. Which measurement is closest to the number of ounces of sodium nitrate the scientist used?

Answers

Answer:

2

Step-by-step explanation:

60 divided by 28.3 which gives u 2.120141342756184

so round it which gives u 2

3. A piece of wire 16 feet long is strung from
the top of the side of a house to the
ground. The distance from the base of the
house to where the wire meets the ground
is 9 feet, as shown in the picturt.
st
19 lei
(The figure is not drawn to scale.)
How tall, in feet, is the house?
B. 20
C. 175
D. 337​

Answers

Answer:

its c  because its not a b or d  and its alround 13 feet

Step-by-step explanation:

PLEASE HELP ME!!! I REALLY NEED TO KNOW THIS...



So my math teacher hates me and i did this for a answer:
5x³ + x² + 16 , this is a different question, and i got the points.
But for a answer that was right and she mared wrong i did this:
2x²+4
(I know it is right because my sister and me have the same math. and she got a 10/10 on this)
My sister's answer : 2x^2 + 4.

Are they the same or not?!

Answers

Answer:

The exact same

Step-by-step explanation:

^ just means put it up like 3^2=3²

4. Evaluate the expression for the given value of each variable.


5a2 -7 -b3

when a = -2 and b = -3

please help!
NO LINKS!!!

Answers

Answer:

-18

Step-by-step explanation:

5a2-7-b3

[tex]5*a*2-7-b*3[/tex]

[tex]5\cdot \left(-2\right)\cdot \left(2\right)-7-\left(-3\right)\cdot 3[/tex]

Therefore, -18 is your answer.

Hope this helped! :)

Find the midpoint of the segment with the following endpoints.
(9,6) and (5,2)

Answers

Answer:

[tex]M(7 ; 4)[/tex]

Step-by-step explanation:

midpoint -M

[tex]M(\frac{x_{1}+x_{2}}{2} ; \frac{y_{1}+y_{2}}{2} )[/tex]

[tex]M(\frac{9+5}{2} ; \frac{6+2}{2} )[/tex]

[tex]M(7 ; 4)[/tex]

Answer:

(7, 4 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 6) and (x₂, y₂ ) = (5, 2) , then

midpoint = ( [tex]\frac{9+5}{2}[/tex] , [tex]\frac{6+2}{2}[/tex] ) = ([tex]\frac{14}{2}[/tex] , [tex]\frac{8}{2}[/tex] ) = (7, 4 )

let R be the region bounded by the functions f(x)=-x^2 and g(x)=-9 as shown in the diagram below. find the exact area of the region R. write your answer in the simplest form. zoom in photo

Answers

What do you mean need more information

if an equation indicates addition in its presentation, in order to solve for the unknown you must: a. add b. subtract c. multiply d. divide

Answers

If an equation indicates addition in its presentation, in order to solve for the unknown, you must perform the inverse operation, which is subtraction.

Equations typically involve an equality between two expressions, with one or more unknown variables.

To isolate the unknown variable and determine its value, you need to perform operations on both sides of the equation to simplify and solve for the variable.

When an equation shows addition, you can undo that operation by subtracting the same value from both sides of the equation. This ensures that the equation remains balanced and maintains equality.

For example, consider the equation:

x + 5 = 10

To solve for x, you need to eliminate the 5 added to x. To do so, you subtract 5 from both sides of the equation:

x + 5 - 5 = 10 - 5

x = 5

By subtracting 5 from both sides, you isolate the variable x and find that its value is 5.

Visit here to learn more about subtraction brainly.com/question/13619104

#SPJ11

Write an equation for two angles A and B that are supplementary.

A. a + b = 180

B. a + b = 100

C. 2ab = 180

D. a + b = 90​

Answers

Answer:

A. a + b = 180 is the correct option.

Which equation is not equivalent to 2x+10=-8

Answers

Answer:

2x+10=-8

x=9

3x=9

x=3

2x=8

x=4

4x=20

x=5

Step-by-step explanation:

What's the slope and y intercept of 3x - y = 7

Answers

Answer:

the slope is 3

the y intercept is (0,-7)

Step-by-step explanation:

3x-y=7 solve for y

add y to both sides

3x=7+y

subtract 7 from both sides

y=3x-7

y=mx+b

m=slope

b=y-intercept

3=slope

-7=y-intercept

Hope that helps :)

Let f be the function given by f(x) = 2 cos x +1. What is the approximation for f(1.5) found by using 1 the tangent line to the graph off at x = ? 2 (A) -2 (B) 1 (C) 1-2 (D) 4-2

Answers

To approximate the value of f(1.5) using the tangent line to the graph of f at x = 1, we first find the derivative of f(x) to determine the slope of the tangent line at x = 1. The derivative is f'(x) = -2 sin x. Evaluating f'(x) at x = 1, we find the slope to be approximately -1.6829.

Next, we use the point-slope form of a line to find the equation of the tangent line. We have the point (1, f(1)) ≈ (1, 1.5839) and the slope -1.6829. Plugging these values into the point-slope form, we obtain the equation of the tangent line as y ≈ -1.6829x + 3.2668.

Finally, we substitute x = 1.5 into the equation of the tangent line to approximate f(1.5). After calculation, we find that f(1.5) is approximately 0.0009.

Therefore, the approximation for f(1.5) using the tangent line to the graph at x = 1 is approximately 0.0009.

To know more about tangent line, click here: brainly.com/question/23416900

#SPJ11

A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval?

It would increase by 8%.
It would decrease by 8%.
It would increase, but not necessarily by 8%.
It would decrease, but not necessarily by 8%.

Answers

Answer:

It would decrease, but not necessarily by 8%

If the teacher had used a 90% confidence interval rather than a 98% confidence interval, the width of the interval would decrease, but not necessarily by 8%.

Option D is the correct answer.

What is a confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.

It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.

We have,

The width of a confidence interval is determined by the level of confidence and the sample size.

A higher confidence level requires a wider interval, and a larger sample size typically results in a narrower interval.

Since the sample size is fixed in this case, changing the confidence level will result in a change in the width of the interval.

As the confidence level increases, the width of the interval also increases. This is because a higher confidence level requires a larger margin of error, which is added to the point estimate to create the interval.

Therefore,

If the teacher had used a 90% confidence interval rather than a 98% confidence interval, the width of the interval would decrease, but not necessarily by 8%.

Learn more about confidence intervals here:

https://brainly.com/question/17212516

#SPJ3

A circle with a shaded sector has a circumference of 12 pi millimeters. What is the area of the shaded sector? Express the answer in terms of Pi.

Answers

Answer:

The answer is C. 8 mm

Step-by-step explanation:

For me, i was able to divide the 80 by 12 and get 6.667 thus i was able to round up and conclude the answer in the answer choices

Answer:

c

Step-by-step explanation:

A tree casts a shadow that is 231 cm long. Janet is 170 cm tall and she casts a shadow that is 102 cm long. How tall is the tree?

Answers

Answer:

139 cm

Step-by-step explanation:

Leo flips a paper cup 50 times and records how the cup landed each time. The table below shows the results. RESULTS OF FLIPPING PAPER CUP Outcome Right-side UP Upside Down On its Side Frequency 10 18 22 Based on the results, how many times can he expect the cup to land on its side if it is flipped 1,000 times? 333 440 550 786​

Answers

Answer:

The answer is 440

Step-by-step explanation:

I just took the test and got that question right

Kallen was invited to a birthday party for his best friend. He wanted to buy a gift that was $43.87 and wrapping paper that was $2.94. If he earns $8.25 for each lawn he mows and his mom agrees to match all his earnings how many lawns will he need to complete to buy the gift and wrapping

Answers

Answer: 6

Step-by-step explanation:

The total amount needed by Kallen for the gift and the wrapping paper will be:

= $43.87 + $2.94

= $46.81

Since he earns $8.25 for each lawn he mows, the number of lawns they he will need to complete to buy the gift and wrapping will be:

= $46.81 / $8.25

= 5.67

= 6 lawns approximately

He'll need to mow 6 lawns

The null hypothesis is that the laptop produced by HP can run on an average 120 minutes without recharge and the standard deviation is 25 minutes. In a sample of 50 laptops, the sample mean is 130 minutes. Test this hypothesis with the alternative hypothesis that average time is not equal to 120 minutes. What is the p- value?

Answers

The p-value for testing the hypothesis that the average runtime of HP laptops is not equal to 120 minutes, based on a sample mean of 130 minutes from a sample of 50 laptops, is approximately 0.0006 (rounded to four decimal places).

To calculate the p-value, we use the t-test. Given the null hypothesis that the average runtime is 120 minutes, the alternative hypothesis is that it is not equal to 120 minutes. We compare the sample mean to the hypothesized population mean using the t-distribution.

Using the formula for the t-statistic:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

t = (130 - 120) / (25 / sqrt(50))

t = 10 / (25 / 7.0711)

t = 2.8284

The degrees of freedom for the t-distribution are (sample size - 1) = (50 - 1) = 49.

Using the t-distribution table or statistical software, we find that the two-tailed p-value for a t-value of 2.8284 with 49 degrees of freedom is approximately 0.0006.

Therefore, the p-value for this hypothesis test is approximately 0.0006.

To know more about hypothesis testing, refer here:

https://brainly.com/question/24224582#

#SPJ11

Plz help I’ll give brainliest

Answers

Answer:

2) 4/5

3) 3

Step-by-step explanation:

2) 4/8-3=4/5

3)5x-4=3x+2

2x=6

x=3

Answer:

2) 4/5

3)x=3

Step-by-step explanation:

1) 4/8-3= 4/5

2) 5x-4=3x+2

bring 3x to left side and bring -4 to right side (remember signs will be reversed that is 3x becomes -3x and -4 will be 4

5x-3x=4+2

2x=6

x=6/2

x=3

put 3 in place of x

5*3-4=3*3+2

15-4=9+2

11=11

Why is it important to know "first term" and "common ratio" when dealing with geometric sequences?

Answers

Answer:

Each term of a geometric sequence increases or decreases by a constant factor called the common ratio. The sequence below is an example of a geometric sequence because each term increases by a constant factor of 6. Multiplying any term of the sequence by the common ratio 6 generates the subsequent term.

Step-by-step explanation:

Please give brainliest

please help me

Step-by-step explanation:

mark me brilliant

Write all your steps leading to the answers.) X and Y have joint density function f_(XY)(x,y)=B(1+xy), |x|<1,|y|l; zero, otherwise.
(1) Find B so that f_(XY) (x,y) is a valid joint density function.
(2) Prove or disprove X, Y are uncorrected.
(3) Prove or disprove X, Y are independent.
(4) Prove or disprove X^2 and Y^2 are independent.

Answers

(1) To find the value of B that makes f_(XY)(x,y) a valid joint density function, we need to ensure that the total probability over the entire domain is equal to 1. In this case, the domain is |x|<1 and |y|<1.

The integral of f_(XY)(x,y) over the given domain should be equal to 1:

∫∫ f_(XY)(x,y) dx dy = 1

∫∫ B(1+xy) dx dy = 1

To solve this integral, we integrate with respect to x first and then with respect to y:

∫(∫ B(1+xy) dx) dy

∫[Bx + B(xy^2)/2] dy, integrating with respect to x

Bxy + B(xy^2)/2 + C, integrating with respect to y

Now, evaluate the integral over the given domain:

∫[-1,1] [Bxy + B(xy^2)/2 + C] dy

[Bxy^2/2 + B(xy^3)/6 + Cy] evaluated from -1 to 1

[B/2 + B/6 + C] - [-B/2 - B/6 - C]

(B/2 + B/6 + C) - (-B/2 - B/6 - C)

2B/3 = 1

Solving for B:

B = 3/2

Therefore, the value of B that makes f_(XY)(x,y) a valid joint density function is B = 3/2.

(2) To determine if X and Y are uncorrelated, we need to calculate the covariance between X and Y. If the covariance is zero, then X and Y are uncorrelated.

Cov(X, Y) = E[XY] - E[X]E[Y]

To calculate E[XY], we need to find the joint expectation:

E[XY] = ∫∫ xy f_(XY)(x,y) dx dy

E[XY] = ∫∫ xy (3/2)(1+xy) dx dy

Integrating over the domain |x|<1 and |y|<1, we can calculate E[XY].

Similarly, we need to calculate E[X] and E[Y] to determine Cov(X, Y).

If Cov(X, Y) is found to be zero, then X and Y are uncorrelated.

(3) To prove or disprove independence between X and Y, we need to check if the joint probability density function (pdf) can be factorized into the product of the marginal pdfs of X and Y.

If f_(XY)(x,y) = f_X(x)f_Y(y), then X and Y are independent.

To determine if this factorization holds, we need to compare the joint pdf f_(XY)(x,y) with the product of the marginal pdfs f_X(x) and f_Y(y). If they are equal, then X and Y are independent. Otherwise, they are dependent.

(4) To prove or disprove the independence between X^2 and Y^2, we follow a similar approach as in (3). We compare the joint pdf of X^2 and Y^2 with the product of their marginal pdfs. If they are equal, X^2 and Y^2 are independent. Otherwise, they are dependent.

By examining the factorization of the joint pdfs and comparing them with the product of the marginal pdfs, we can determine the independence relationships between the variables X, Y, X^2, and Y^2.

To know more about joint density function, visit

https://brainly.com/question/31266281

#SPJ11

If n e z, use modulo to show that -13n2 +5n+23 is odd.

Answers

The given expression -13n^{2}+5n+23[/tex] is odd using modulo.

We are given to show that -13n2 + 5n + 23 is odd by using modulo.

Let's try to understand what modulo means:Modulo is a mathematical operation that finds the remainder when one number is divided by another. It is represented by the percentage symbol (%).

Now we can use the concept of modulo to show that -13n2 + 5n + 23 is odd.Note:An integer is odd if it is not even. In other words, odd numbers can't be divided evenly by 2. They leave a remainder of 1 when divided by 2.To show that -13n2 + 5n + 23 is odd, we need to take the given expression modulo 2.$$-13n^2 + 5n + 23 \; \mathrm{mod} \; 2$$We know that every odd integer can be written in the form of 2n + 1 where n is an integer. Now we just have to show that the expression -13n2 + 5n + 23 can be written in the form 2n + 1.$$-13n^2 + 5n + 23 \equiv 1 \; \mathrm{mod} \; 2$$Let's assume k is an integer such that $$-13n^2 + 5n + 23 = 2k + 1$$Rearranging the above expression, we get$$-13n^2 + 5n + 22 = 2k$$Now, we can use the concept of odd and even numbers. We know that an even number can be represented in the form 2n, where n is an integer. Now we just have to show that the expression -13n2 + 5n + 22 can be represented in the form 2n.$$-13n^2 + 5n + 22 = -13n^2 + 13n - 8n + 22$$$$= 13(n-1)(n-2) - 8$$We know that the product of two odd numbers is odd, and the subtraction of an even number from an odd number is odd. Here, (n-1) and (n-2) are consecutive integers, which means one of them is even and the other is odd. Therefore, the product (n-1)(n-2) is even. Hence, the above expression is odd.Since -13n2 + 5n + 23 is equivalent to 1 modulo 2, which means it can be represented in the form of 2n+1. Therefore, -13n2 + 5n + 23 is odd.

#SPJ11

https://brainly.com/question/29262253

consider recurrence (and no such that for every non negative integer ny 2 an = 400-1 - 5an-2 +200-3 suppose recurrence (an) has the following initial value a=1 a2=2 in what follows, let a (n) dehote term an for each nonnegative integern write an explicit formula for a(n)

Answers

The given recurrence relation is an = 400 - 5an-2 + 200-3, with initial values a0 = 1 and a1 = 2. We need to find an explicit formula for a(n).

To find an explicit formula for a(n), we will first solve the recurrence relation and then generalize the pattern. Let's expand the relation for a few terms to observe the pattern:

a2 = 400 - 5a0 + 200-3 = 400 - 5(1) + 200-3 = 397

a3 = 400 - 5a1 + 200-3 = 400 - 5(2) + 200-3 = 388

a4 = 400 - 5a2 + 200-3 = 400 - 5(397) + 200-3 = -9603

a5 = 400 - 5a3 + 200-3 = 400 - 5(388) + 200-3 = -1260

From the given examples, we can observe that the recurrence relation alternates between positive and negative values. This suggests that the relation might have a periodic pattern. Since the given recurrence is a second-order relation (in terms of n), it is reasonable to assume that the pattern repeats every two terms.

Based on this observation, we can establish the following explicit formula for a(n):

a(n) = (-1)^(n mod 2) * (200n - 5^(n/2) + 200-3)

In this formula, the term (-1)^(n mod 2) alternates between -1 and 1 depending on the parity of n, ensuring the alternating pattern. The other terms account for the linear and exponential components of the recurrence relation.

Learn more about exponential here: https://brainly.com/question/28596571

#SPJ11

Right answer will be marked brainlist .
Robert takes out a loan for $7200 at a 4.3% rate for 2 years. What is the loan future value?

Answers

Answer: should be 7819.20

explanation:

7200 * .043 * 2 = 619.20

7200 + 619.20 = 7819.20

a rectangle with a length of 20 meters and a width of 11 meters is being dilated by a scale factor of 5. What is the length of the rectangle after the dilation?

Answers

Answer:

We meet again

Step-by-step explanation:

When a rectangle is dilated by a scale factor k, the length and width of the rectangle are both multiplied by k. In this case, the length of the rectangle is being dilated by a scale factor of 5. So the length of the rectangle after the dilation will be 20 * 5 = **100 meters**.

Calculate the volume of a cube with side lengths of 2.8 yards.

Answers

Answer:

21.952 [tex]yards^{3}[/tex]

Step-by-step explanation:

The volume of a cube is side length cubed.

So [tex]2.8^{3}[/tex] = 21.952

f (x) = -3x + 1
g(x) = x2 + 2x – 5
Find g (f (x))

Answers

Answer: f

=  x = − 3 x + 1 = x = 1 4 g = x 2 + 2 x − 5f( x ) = f ( x )

Step-by-step explanation:

Other Questions
Consider the following method, which is intended to return the average (arithmetic mean) of the values in an integer array. Assume the array contains at least one element.public static double findAvg(double[] values){double sum = 0.0;for (double val : values){sum += val;}return sum / values.length;}Which of the following preconditions, if any, must be true about the array values so that the method works as intended?The array values must be sorted in ascending order.The array values must be sorted in ascending order.The array values must be sorted in descending order.The array values must be sorted in descending order.The array values must have only one mode.The array values must have only one mode.The array values must not contain values whose sum is not 0.The array values must not contain values whose sum is not 0 .No precondition is necessary; the method will always work as intended. 7. The multiplier and the MPC Consider two closed economies that are identical except for their marginal propensity to consume (MPC). Each economy is currently in equilibrium with real GDP and aggrega Each of the following is one of the filing status classifications, except O married filing separately. O single with dependent child. O qualifying widow(er) with dependent child. O head of household. A Doctors Order requests 500 mg of ampicillin IV in a 50-mL MiniBag of 0.9% sodium chloride injection. You have a 4-g vial of sterile powder, which, when reconstituted, will provide 100 mg/mL of ampicillin. How many millilitres of reconstituted solution will be needed to provide the 500-mg dose?A. 4 mlB. 5 mlC. 2.5 mlD. 25 ml2. Rx: Penicillin G potassium 500 000 units IV q6h in 50-mL MiniBag of 0.9% sodiumchloride injection. You have a vial of Penicillin G containing 5 000 000 units. Afterreconstitution, the total volume of the vial is 20 mL, How many millilitres of penicillinshould be drawn up to provide the prescribed dose for each 50-mL MiniBag?A. 0.5 mLB. 1 mLC. 4 mLD. 2 mL3, In reference to question 2, how many 50-mL MiniBags would you provide to cover 24hours of treatment?A. 1B. 6C. 3D. 44. Rx: Dexamethasone 12 mg IV push Drug available: Dexamethasone 4 mg/5 mL Howmany millilitres would be needed to be drawn up for one dose?A. 3 mlB. 2.4 mlC. 10 mlD. 15 ml5. Rx: Heparin 40 000 units in D5W 1000 mL Drug available: Heparin 10 000 units/mL 2mL single-dose vial How much heparin solution would be injected into the D5W 1000-mL bag?A. 1 mlB. 2 mLC. 4 mLD. 8 mL YMB is a calendar year corporatio. On December 12, YMB billed a client $17,800 for services rendered during October and November. It had not received payment by December 31. On December 10, YMB received a $4,000 check from a tenant that leases office space from the corporation. The payment was for next year's January and Feburary rent.a. If YMB is a cash basis taxpayer, how much income should it recognize from the given transactions this year?b. If YMB is an accrual basis taxpayer, how much income should it recognize from the transactions this year? Which of the following factors significantly decreases the bioavailability of most vitamins?O Being younger in age or being pregnantO Getting vitamins from supplements or processed foodsO Consuming vitamin-rich foods in their raw (uncooked) formO Getting vitamins from whole foods Let D be the region bounded by a curve 2+y = 3xy in the first quadrant. Find the are: of D (Hint: parametrise the curve so that y/x = t). Unearned revenue is classified asa. an asset account.b. a revenue account.c. a contra-revenue account.d. a liability account. using the elements and principles of composition as a guide, analyze and compare the church of the holy family and the cathedral of notre dame at chartres. A self-compassionate personA never gets angry,B has a big group of friends.C lets herself feel sad sometimes,D only hangs out with nice people. Which statements about quantitative research are accurate? (Select all that apply.)Select one or more:a. The results of quantitative research should be generalized back to the population from which the sample was drawn.b. The methods of quantitative research are consistent with the philosophy of logical positivism.c. Quantitative research addresses quantities, relationships, and causes.d. Quantitative research predominates in the nursing research literature.e. Quantitative research is always experimental.f. Quantitative research tells the story of the research participants' daily lives, within their culture. For each of the following systems, determine whether or not the system is (1) linear, (2) time-invariant, and (3) causal: a. y[n]=x[n]cos(0.2n) b. y[n]=x[n]x[n1] c. y[n]=x[n] d. y[n]=Ax[n]+B, where A and B are nonzero constants. decide as a group on a well-known firm you will research. For each of the following pairs of vectors and y, find the vector projection p of c onto y, and verify that p and x p are orthogonal. (a) = (3, 4)T ard y = (1,0)T. (c) x = ( = (1,1,1)". (d) x = (2,-5,4)" and y = (1,2,-1)" (b) x = (3.5)", and y (1,1)". 2.4,3)1 and y perform a retrosynthetic analysis of the alcohol. the alcohol is secondary , so it is formed by reaction of the grignard reagent with a ketone. As discussed in class, Treasury Inflation-Protected Securities (TIPS) is a popular type of debt instrument:a) What is a TIPS? How is it different from regular treasury securities.b) Suppose you purchased a TIPS with a par value of $1 million. The coupon rate is 3.2%. Assume that the inflation in first six months is 3.6% (annual rate). Compute (i) inflation adjusted principal at the end of the first six months, (ii) the coupon payment at the end of the first six months.c) Assume that the inflation in the second half year is 4.0% (annual rate). Compute (i) inflation adjusted principal at the end of the second six months, (ii) the coupon payment at the end of the second six months. Suppose the repo rate for a T-bond is 4.15%, and the haircut for an overnight repo is 2%. You plan to buy 100 T-bonds with $1K price per bond today, and sell it in the following day.a) How much of the purchase price can you borrow by repoing out the bond? How much your own capital should be added to purchase the 100 T-bonds?b) How much Repo interest will you have to pay tomorrow?c) What bond prices tomorrow would have wiped out the margin (i.e., lose your own capital)? Let (e_t ) be a zero mean white noise procent. Suppose that the observed process is Yt =e_t + _et-1, is either 3 or 1/3.(a) Find the autocorrelation function for (Y_t) both when =3 and =1/3 (b) You should have discovered that the time series is stationary regardless of the value of '' and that the autocorrelation functions are the same for =3 and = 1/3. For simplicity, suppose that the process mean is known to be zero and the variance of Y_t is known to be 1. You observe the series (Y_t) for t - 1,2...n and suppose that you can produce good estimates of the wutocorrelations pk. Do you think that you could determine which value of is correct (3 or 1/3) based on the estimate of pk? Why or why not? There is a function f(t) which is given by: f(t) = sin(t/T) for 0 t 2T and f(t) = 0 for 2T tThis function repeats periodically outside the interval [0,T] with period T (assuming that 2T a) what are the restrictions that would be expected for the Fourier coefficient a_j. Which Fourier coefficient is expected to be the largest?b) Calculate the Fourier expansion , thus verifying the prediction . Why is working capital management important? Give concrete examples of how companies manage their cash, receivables, inventory and payables. Initial studies of the influenza A virus by Walter Fitch and colleagues showed that a.selection by the human immune system drives change in virus's hemagglutinin's antigenic sitesb.influenza A actually has DNA as its genetic materialprotein evolution in influenza A is consistent with the neutral theoryc.selection is causing influenza A to become more virulent over time