By using the method of variation of parameters to solve a nonhomogeneous DE with W = -3 W2 = e 112 and W = er, we have ---- Select one: 42 Ou= 41 O U2= O None of these. -4 Ou2 = O U =

Answers

Answer 1

By using the method of variation of parameters to solve a nonhomogeneous DE with W = -3 W2 = e 112 and W = er, we have

Given: W1=-3, W2=e^t and W3=er.The general solution of the non-homogeneous differential equation, y" + p(t) y' + q(t) y = g(t) , where p(t) and q(t) are functions of t and g(t) is non-zero function is given by;{eq}y = y_c + y_p {/eq}Where {eq}y_c {/eq} is complementary function and {eq}y_p {/eq} is particular function obtained by using variation of parameters.The solution is as follows:The given differential equation is{eq}y''+3y'+2y=-3e^{-t}+e^{t}+re^t{/eq}Characteristic equation is{eq}m^2+3m+2=0{/eq}Solving above equation gives us, {eq}m=-1,-2{/eq}Therefore, complementary function {eq}y_c=c_1e^{-t}+c_2e^{-2t} {/eq}Now, we find the particular solution by using the method of variation of parameters.Let {eq}y_p=u_1e^{-t}+u_2e^{-2t}{/eq}be a particular solution where {eq}u_1{/eq} and {eq}u_2{/eq} are functions of {eq}t.{/eq}Here W is a Wronskian and is given as:{eq}W=\begin{vmatrix}W_1&W_2\\W_1'&W_2'\\\end{vmatrix}=\begin{vmatrix}-3&e^t\\-1&e^t\\\end{vmatrix}=2e^{2t}+3e^{t}{/eq}Now, we find {eq}u_1{/eq} and {eq}u_2{/eq} as follows:{eq}u_1=\frac{-\int W_2 g(t) dt}{W}=\frac{-\int e^t(-3e^{-t}+e^{t}+re^t)dt}{2e^{2t}+3e^{t}}=-\frac{r}{5}-\frac{7}{10}+\frac{3}{10}e^{t}{/eq}Similarly,{eq}u_2=\frac{\int W_1 g(t) dt}{W}=\frac{\int -3e^{-t}(-3e^{-t}+e^{t}+re^t)dt}{2e^{2t}+3e^{t}}=-\frac{r}{5}-\frac{1}{10}+\frac{3}{10}e^{-2t}{/eq}Hence, the general solution of the differential equation is {eq}y=y_c+y_p=c_1e^{-t}+c_2e^{-2t}-\frac{r}{5}-\frac{7}{10}+\frac{3}{10}e^{t}-\frac{r}{5}-\frac{1}{10}+\frac{3}{10}e^{-2t}{/eq}So, Option D, {eq}-4u_2=0,~u_1=-\frac{r}{5}-\frac{7}{10}+\frac{3}{10}e^{t},~u_2=-\frac{r}{5}-\frac{1}{10}+\frac{3}{10}e^{-2t}{/eq} is correct.

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Related Questions

In ΔEFG, the measure of ∠G=90°, GF = 48, EG = 55, and FE = 73. What ratio represents the cosecant of ∠F?

Answers

Answer:

Cosec <F = 73/55

Step-by-step explanation:

In ΔEFG, the measure of ∠G=90°, GF = 48, EG = 55, and FE = 73. What ratio represents the cosecant of ∠F?

First you must know that;

Cosecant <F = 1/sin<F

Given

∠G=90°, GF = 48, EG = 55, and FE = 73.

ED ,= hyp = 73

EG = opp = 55*side facing <F

Using DOH CAH TOA

Sin theta = opp/hyp

Sin <F= 55/73

Reciprocate both sides

1/sinF = 73/55

Cosec <F = 73/55

What is equivalent to 8?
A:2^3
B:3^-2
C:2^-3
D:3^2

Answers

2^3 is equivalent to 8.

Answer:   A:2^3

Step-by-step explanation:

8=2*2*2=(2)^3

Use the SOR method with w = 1.2 to solve the following linear system with a tolerance TOL = 10-3 in the lo norm. - 4x1 + x2 – x3 + x4 = -2, X1 + 4x2 – X3 – X4 = -1, -X] – x2 + 5x3 + x4 = 0, X1 – x2 + x3 + 3x4 = 1.

Answers

Using the Successive Over-Relaxation (SOR) method with a relaxation factor of w = 1.2 and a tolerance of TOL = 10^-3 in the l2 norm, the linear system of equations can be solved iteratively. The solution will converge to the desired tolerance level.

The SOR method is an iterative technique used to solve linear systems of equations. It requires an initial guess for the solution and iteratively updates the values until the desired tolerance is reached.

To apply the SOR method, the given linear system can be rewritten as a matrix equation: AX = B, where A is the coefficient matrix, X is the solution vector, and B is the constant vector. The system can be solved by iterating through the equations and updating the values of X until convergence is achieved.

In this case, the SOR method is performed with a relaxation factor of w = 1.2, which helps to accelerate convergence. The tolerance is set to TOL = 10^-3, indicating the desired level of accuracy.

The SOR algorithm is then applied iteratively until the solution converges within the specified tolerance. The updated values of X are calculated using the SOR formula, and the process is repeated until the difference between consecutive iterations falls below the tolerance level.

By following this iterative process with the given parameters, the SOR method will yield the solution to the linear system of equations.

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Find the value of x for which / || m

Answers

Answer:

Step-by-step explanation:

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Answers

Answer: n=4

Step-by-step explanation:

Given

3n-(2+n)=6

Expand Parenthesis (REMEMBER TO CHANGE SIGNS)

3n-2-n=6

Combine like terms

2n-2=6

Add 2 on both sides

2n-2+2=6+2

2n=8

Divide both sides by 2

2n/2=8/2

n=4

Hope this helps!! :)

Please let me know if you have any questions

Answer:

4

Step-by-step explanation:

4 Is the Answer because you have to multiply 4 to all the N's. Which means you have to multiply 4 by 3 which equals 12. Then 2+4=6. Then you would do 12-6=6. There's your answer. Here is the equation if it were like the problem: 12 - (2+4). I'm sure you can figure out the rest. Thanks. If you find any fault in my answer let me know! Have a good day!

There is a sale on jeans where you will get 20% off the original price. If the jeans cost $65, how much will you SPEND on the jeans?

plzzzz answer

Answers

Multiply 65 by .2 and then take that number and subtract it from the original 65. So it would be 65 - 13 = 52

OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME WHAT TO DRAW

Answers

Answer:

Step-by-step explanation:

Answer:

13107 employees

A. The picture

B. 10,972 + 2,135 = n

13107 = n

Step-by-step explanation:

10,972 + 2,135 = 13107

What should be drawn is in the photo.

During the summer John collected cans to recycle. In August he collected 718 cans bringing his total to 2,275 cans. How many cans did John collect before August?

Answers

Answer: 1557 cans

Step-by-step explanation:

Since we are informed that John collected 718 cans in August bringing his total number of cans to 2,275 cans, the number of cans that John collected before August will be:

= Total number of cans collected - Number of cans collected in August

= 2275 - 718

= 1557 cans

the temperature is -2c if the temputure rises to 15c , what is the new temputure

Answers

Answer:

13c

Step-by-step explanation:

-2 + 12 = 13

Given the figure below, find the values of x and z.

Answers

Answer:

x = 12

z = 101

Step-by-step explanation:

Hello There!

First lets find z

Well the angle that has a measure of 79 degrees and angle z are supplementary angles meaning that the sum of the two is 180

So we can find the missing angle by subtract the given angle (79 in this case) from 180

180 - 79 = 101 so z = 101

Now lets find x

The angle that has a measure of 79 degrees and the angle labeled (6x+7) are vertical angles

If you didn't know vertical angles are congruent

That being said lets create an equation to solve for x

79 = 6x + 7

now we solve for x

step 1 subtract 7 from each side by

7 - 7 cancels out

79 - 7 = 72

now we have 72 = 6x

step 2 divide each side by 6

72/6=12

6x/6=x

we're left with x = 12

Country Financial, a financial services company, uses surveys of adults age and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of adults showed indicating that their financial security was more than fair. In February of 2010, a sample of adults showed indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. - Select your answer - - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012

Answers

Complete question :

Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of 1000 adults showed 410 indicating that their financial security was more than fair. In February of 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. H : Pi - P2 - Select your answer HA : P1 P2 - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012? Round your answer to two decimal places. In 2010?

Answer:

H0 : p1 - p2 = 0

H1 : p1 - p2 ≠ 0

Phat 2010 = 0.35

Phat 2012 = 0.41

Step-by-step explanation:

The null and alternative hypothesis :

H0 : p1 - p2 = 0

H1 : p1 - p2 ≠ 0

The null means there is no difference in proportion for the two years while the alternative claims that there is difference in proportion for the two years.

Sample proportion for 2010:

Phat = x / n

x = 315 ; n = 900

Phat = 315 / 900

Phat = 0.35

Sample proportion for 2012 :

Phat = x / n

x = 410 ; n = 1000

Phat = 410 / 1000

Phat = 0.41

How would I put this?

Answers

Answer:

10.35

Step-by-step explanation:

63,756 x 60 = 3825360

70 x 5,280 = 369600

3825360 ÷ 369600 = 10.35

10.35 because 63756 times 60= 3825360 and 5280 times 70= 369600 and 3825360 divided by 369600= 10.35

A proton moves along the x-axis with u2 -1.0 x 10⁷ m/s.
As it passes the origin, what are the strength and direction of the magnetic field at the (1 cm, 0 cm, 0 cm) position? Give your answer using unit vectors Express your answer in terms of the unit vectors i, j, and k. Use the 'unit vector button to denote unit vectors in your answer.

Answers

The magnetic field using the unit vector notation B = Bx i= [(μ₀ / 4π) * (q * (-1.0 x 10⁷ m/s) / 10^-16 m²)] i.

To determine the strength and direction of the magnetic field at the (1 cm, 0 cm, 0 cm) position caused by a moving proton, we can use the formula for the magnetic field produced by a moving charge:

B = (μ₀ / 4π) * (qv × r / r³)

where B is the magnetic field, μ₀ is the permeability of free space (constant), q is the charge of the proton, v is its velocity, × denotes the cross product, r is the position vector, and r³ represents the magnitude cubed of the position vector.

Given information:

u = -1.0 x 10⁷ m/s (velocity of the proton)

Position vector r = 1 cm i

Let's calculate the magnetic field at the given position:

First, we convert the position vector from centimeters to meters:

r = (1 cm, 0 cm, 0 cm) = (0.01 m, 0 m, 0 m)

Next, we substitute the values into the formula and simplify:

B = (μ₀ / 4π) * (qv × r / r³)

= (μ₀ / 4π) * (q * (-1.0 x 10⁷ m/s) × (0.01 m i) / (0.01 m)³)

= (μ₀ / 4π) * (q * (-1.0 x 10⁷ m/s) × (0.01 m i) / 0.000001 m³)

= (μ₀ / 4π) * (q * (-1.0 x 10⁷ m/s) × (0.01 m i) / 10^-18 m³)

= (μ₀ / 4π) * (q * (-1.0 x 10⁷ m/s) / 10^-16 m²) i

Now, we can express the magnetic field using the unit vector notation:

B = Bx i

= [(μ₀ / 4π) * (q * (-1.0 x 10⁷ m/s) / 10^-16 m²)] i

where Bx represents the magnitude of the magnetic field in the x-direction.

Please note that the direction of the magnetic field will depend on the orientation of the velocity vector of the proton.

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jet travelling at 500 km/h for 4 hours.

Answers

Answer: jet travels a total of 2000 km in total

Step-by-step explanation:

Whats the question?

-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-

Cari’s Bakery, Inc., began operations in October. The owner contributed cash of $14,400 and a delivery truck with fair value of $19,200 to the company.

Which of the following describes how these transactions would affect the company’s equity accounts?

A) Increase contributed capital by $33,600

B) Increase earned capital by $33,600

C) Increase contributed capital by $14,400 and earned capital by $19,200

D) Increase earned capital by $14,400 and contributed capital by $19,200

E) None of these are correct.

Answers

The transaction would affect the company's equity accounts by increasing contributed capital by $14,400 and earned capital by $19,200. The correct answer is option C.

Equity accounts are a component of the balance sheet that represents the net worth of a business. The equity accounts include contributed capital and earned capital. Contributed capital, also referred to as paid-in capital, is the value of cash or other assets contributed to a company by investors in exchange for shares of ownership in the company. Contributed capital represents the long-term financial interests of owners in the business.

Earned capital is the amount of money that a business earns through its operations. It is also referred to as retained earnings. The difference between a business's assets and liabilities is its equity. It represents the total value of the assets that a company owns after all liabilities have been settled. According to the question, the owner contributed cash of $14,400 and a delivery truck with a fair value of $19,200 to the company. This transaction will increase contributed capital by $14,400 (the cash contribution) and increase earned capital by $19,200 (the delivery truck contribution).Therefore, option C: Increase contributed capital by $14,400 and earned capital by $19,200 is the correct answer.

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PLSS HELP IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link!

Answers

Answer:

C

Step-by-step explanation:

I need help fast and for real no bots

Answers

Answer: d. 201.06

Step-by-step explanation:

To find area of a circle we use the equation 2pi(r) or in this case 2*pi(16)= 804.25in^2 but since we are looking for the shaded region which is 1/4 or one-fourth of the circle so divide 804.25/4 to get 201 or specifically 201.06

Drag and drop all methods of showing Triangle Similarity or Triangle Congruence into the appropriate box. SAS, SSS, ASA, AAS, CPOCTAC, HL, AA
Similar Triangle Justifications Congruent Triangle Justifications​

Answers

Answer:

hi

Step-by-step explanation:

by

Choose the correct answer.

Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?
%

Answers

answer:

Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?

45 %

The percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%

How to determine the change in the rates?

From the chart (table), we have the following rates in Germany:

Rate in 1970 = 27.42Rate in 1976 = 39.74

The percentage change is then calculated using:

Percentage change= (Final - Initial)/Initial * 100%

This gives

Percentage change= (39.74 - 27.42)/27.42* 100%

Evaluate the quotient

Percentage change= 0.45* 100%

Evaluate the product

Percentage change= 45%

Hence, the percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%

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This pattern follows the rule multiply by 2. What other feature do you observe? 4, 8, 16, 32, 64, 128

Answers

Answer:

Each number is 2 to the power some integers.

Step-by-step explanation:

The pattern is 4,8,16,32,64,128.

It follows the exponent of 2.

4=2*2 =[tex]2^{2}[/tex]

8=2*2*2=[tex]2^{3}[/tex]

16= [tex]2^{4}[/tex]

32 =[tex]2^{5}[/tex]

64=[tex]2^{6}[/tex]

128 =[tex]2^{7}[/tex]

so, it is 2 to the power integers.

find the lengths of the sides of the triangle with the indicated vertices, and determine whether the triangle is a right triangle, an isosceles triangle, or neither. a(3, 4, 1), b(0, 6, 2), c(3, 5, 6)

Answers

The lengths of the sides of the triangle ABC are √14, √26, and √26, and the triangle is neither a right triangle nor an isosceles triangle.

To find the lengths of the sides of the triangle with vertices A(3, 4, 1), B(0, 6, 2), and C(3, 5, 6), we can use the distance formula.

The distance formula between two points (x₁, y₁, z₁) and (x₂, y₂, z₂) in three-dimensional space is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

Let's calculate the lengths of the sides of the triangle:

Side AB:

d₁ = √((0 - 3)² + (6 - 4)² + (2 - 1)²)

= √((-3)² + 2² + 1²)

= √(9 + 4 + 1)

= √14

Side BC:

d₂ = √((3 - 0)² + (5 - 6)² + (6 - 2)²)

= √(3² + (-1)² + 4²)

= √(9 + 1 + 16)

= √26

Side AC:

d₃ = √((3 - 3)² + (5 - 4)² + (6 - 1)²)

= √(0² + 1² + 5²)

= √(0 + 1 + 25)

= √26

Now, let's analyze the triangle based on the lengths of its sides:

Since all three sides have different lengths (√14, √26, and √26), the triangle is neither an isosceles triangle (which has at least two sides of equal length) nor a right triangle (which satisfies the Pythagorean theorem).

In summary, the lengths of the sides of the triangle ABC are √14, √26, and √26, and the triangle is neither a right triangle nor an isosceles triangle.

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the Median.)
Find quartile 2 using the data below:
23, 45, 52, 28, 42, 87, 56, 32, 48, 55, 24, 63, 68, 76, 67

Answers

Answer:

52

Step-by-step explanation:

if you put the numbers in order from least to greatest you'll see that 52 is in the middle

John is 30 years old. He will receive two payments of $2500 each. The first payment will be an unknown number of years in the future. The second payment will be five years after the first payment. At an annual effective interest rate of I=5%, the present value of the two payments is $2606. Determine at what age John will receive the second payment.

Answers

Answer:

16 years

Step-by-step explanation:

Let us assume that he would received the first payment after t years

So

The following formula should be used

PV = P ÷ (1 + r)^t + P ÷ (1 + r)^t+5

$2,606 = $2,500 ÷ (1 + 0.05)^t + $2,500 ÷ (1 + 0.05)^t + 5

$2,606 = $2,500 ÷ 1.05^t (1 + 1 ÷ (1.05)^5)

1.05^t = $2,500 ÷ $2,606 (1.7835) = 1.71098

t = ln(1.71098) ÷ ln(1.05)

= 11

Therefore he would be received the second payment after

= 11 + 5

= 16 years




11. Find the following GCD and LCM. (a) GCD (360, 4000) (c) GCD (627, 205143) (b) LCM (360, 4000) (d) LCM (627, 205143)

Answers

The required answers are:

(a) GCD = 40        (b) LCM = 36000      (c) GCD = 33        (d) LCM = 1032933

GCD and LCM of the given numbers are:

(a) Prime factors of 360: 2 x 2 x 2 x 3 x 3 x 5.Prime factors of 4000: 2 x 2 x 2 x 2 x 5 x 5 x 5.GCD = 2 x 2 x 2 x 5 = 40.

(b) LCM = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 = 36000.

(c) Prime factors of 627: 3 x 11 x 19.Prime factors of 205143: 3 x 3 x 7 x 7 x 11.GCD = 3 x 11 = 33.

(d) LCM = 3 x 3 x 7 x 7 x 11 x 19 = 1032933.

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Given the following utility function:

X: -100 -90 -80 -65 -50 -35 -20 0 20 45 70 110 150

U (X): 0 3 4.5 6 7 8 9 10 11 12 13 14 15

(a) Calculate the probabilities p1 and p2 such that 45 is indifferent to the lotteries: (20, p1; 150, 1 −p1) and (−20, p2; 110, 1 −p2)

(b) Calculate the selling price and risk premiums of the lotteries: (−90, 0.5; −20, 0.5) and (−100, 0.2; −50, 0.3; −20, 0.4; 70, 0.1).

(c) Calculate the buying price for the following lottery (150, 0.4; 45, 0.6).

Answers

If utility function is given then we set up U(45) = p2 * U(-20) + (1 - p2) * U(110) and solve for p2.

(a) To find the probabilities p1 and p2, we set up the equation U(45) = p1 * U(20) + (1 - p1) * U(150) and solve for p1. Similarly, we set up U(45) = p2 * U(-20) + (1 - p2) * U(110) and solve for p2.

(b) The selling price of a lottery is the amount at which an individual is willing to sell the lottery. We compare the expected utility of the lottery to the utility of the certain amount. The risk premium is the difference between the selling price and the expected value of the lottery.

(c) The buying price is the amount an individual is willing to pay for a lottery. We set up the equation U(45) = p * U(150) + (1 - p) * U(45) and solve for p to find the buying price.

Note: The specific calculations for parts (a), (b), and (c) require the values of U(X) for each corresponding X value in the utility function.

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SOMEONE HELP ME ILL GIVE YOU 50 POINTS I AM DESPERATE I AM IN A MATHS TEST!

Answers

Answer:

12:2

4:24

6:1

Step-by-step explanation:

those 3 are the correct ones

Write an equation of the line perpendicular to the given line that contains P.

Answers

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solve the problem. determine if the lower bound theorem identifies -4 as a lower bound for the real zeros of f(x). f (x) = 3x3 2x2 - 9x 4 select one: a. yes b. no

Answers

The correct answer is: a. yes. To determine if the lower bound theorem identifies -4 as a lower bound we need to analyze the behavior of the function as x approaches negative infinity.

The lower bound theorem states that if a polynomial function has a negative leading coefficient (in this case, 3), then any lower bound M must have the property that f(M) is either negative or zero.

Let's evaluate f(-4) to see if it is negative or zero: f(-4) = 3(-4)^3 + 2(-4)^2 - 9(-4) + 4= 3(-64) + 2(16) + 36 + 4= -192 + 32 + 36 + 4= -120. Since f(-4) = -120 is negative, the lower bound theorem identifies -4 as a lower bound for the real zeros of f(x).Therefore, the correct answer is: a. yes

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A rectangular prism with a length of 5 inches a width of 4 inches and a height of 3 inches is how many square inches

Answers

Answer:

20

Step-by-step explanation:

length x width = area

4 x 5 = 20

(not 100% sure, but I hope this helps)

A: x>106

B: x<106

C: x=106


Which one is it?

Answers

Answer:

x is equal to 106

Step-by-step explanation:

when x is on the opposite side of 2 intersecting lines, it will be the same angle as the angle opposite to it

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what weight is shown Which of the following explains why scientists use seismographs?A.)to measure earthquakesB.)to measure fault linesC.)to forecast aftershocksD.)to forecast earthquakes An air-filled toroidal solenoid has 300 turns of wire, a mean radius of 12.0 cm , and a cross-sectional area of 4.90 cm2 .Part AIf the current is 5.20 A , calculate the magnetic field in the solenoid.Part BCalculate the self-inductance of the solenoid.Part CCalculate the energy stored in the magnetic field.Part DCalculate the energy density in the magnetic field.Part EFind the answer for part D by dividing your answer to part C by the volume of the solenoid. john has been diagnosed with schizophrenia. describe symptoms that would distinguish johns condition from the other dsm-5 psychotic disorders. How do species evolve? 6) The cost of a computer system increases with increased processor speeds. The cost Cof a system as a function of processor speed is estimated as C = 1234 - 35 + 1900,where S is the processor speed in MHz. Find the processor speed for which cost is at aminimum. [4 marks] What is the quotient of 153? Research each of the websites below and answer the following questions regarding the World Bank and the Export-Import Bank. The World Bank c Export-Import Bank of the United States e Answer the following questions regarding the World Bank: 1. What are the World Bank and its responsibilities for developing international commerce? 2. What four functions (4) must developing nations do to grow their economies and attract business? 3. What is the International Bank for Reconstruction and Development (IRBD)? 4. Where does the money come from to operate the World Bank? 5. Describe the two basic types of loans and credits: Investment loans and Development Policy Loans 6. What role do 'Grants' play to facilitate International Commerce? 7. What is meant by the term 'projects' as it relates to the World Bank? If angle A=320, what is the radian measure of A? Give your answer as an exact fraction in terms of . Which indicator would show a pH change from 6 to 7?A. Red litmus indicatorB. Methyl red indicatorC. Phenol red indicatorD. Blue litmus indicator Exercise 10-10 Record stock dividends and stock splits (LO6) On September 1, the board of directors of Colorado Outfitters, Inc., declares a stock dividend on its 19,000, $10 par, common shares. The market price of the common stock is $39 on this date. Record the stock dividend assuming a large (100%) stock dividend. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.) Complete the sentences below by the correct form of the direct object pronoun.1. Ya compraste los sellos? _________ necesito inmediatamente. 2. No visit el consultorio porque no _________ pude encontrar. 3. No us mi guitarra en el ensayo porque __________ olvid. 4. Decid comprar la camisa y la blusa juntas porque __________ encontr en liquidacin en el centro comercial. 5. Generalmente, cuido a Juan y a Pedro los sbados, pero no __________ puedo cuidar este fin de semana porque estoy ocupada. 6. Quise ver una pelcula, pero no _________ pude ver porque no hay cines cerca de mi casa 7. Si compras un sello, __________ puedes poner en tu carta. 8. No quiero cortar el csped ahora, mam, __________ prefiero corlar maana. 9. Vimos algunos monumentos en nuestro viaje del ao pasado y yo __________ dibuj. 10. Lo siento, no puedes usar el bao porque no __________ limpi. Realidades C The excretory system eliminates wastes. Identify the waste materials described. Filtered material from the blood that includes toxins like urea, salts, and even excess water. Composed of excess water, salt, and a urea that are released from glands. A mixture of undigested material, bacteria, and other materials that cannot be used by the body. Did you know you can get papa johns pizza for only 6.99? *John cena music* 5. How far can you get away from your little brother with a squirt gun filled pointwith paint if you can travel at 3 m/s and you have 15 s before he sees you?"45 m5 m2 m20 m Please answer correctly! I will mark you as Brainliest Find equation to (-3,0),m=5 Trevor has an investment worth $6,774.50. He made his only deposit in it 22 years ago. Given that the investment yields 2.7% simple interest annually, how big was the initial deposit? Mrs. DeMarco wants to estimate the height of her garageoor. Select the best benchmark for her to use.the width of a paperclipthe length of a baseball batthe height of a license platehow far she can walk in 20 minutes Compute the volume percent of graphite, VGr, in a 3.9 wt% C cast iron, assuming that all the carbon exists as the graphite phase. Assume densities of 7.9 and 2.3 g/cm3 for ferrite and graphite, respectively.