Do these side lengths make a right triangle? 3, 4, 5 *

Answers

Answer 1

Answer:

This is a right triangle

Step-by-step explanation:

We can check if this is a right triangle by using the Pythagorean theorem

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

3^2+4^2 = 5^2

9+16 = 25

25=25

This is true so it is a right triangle


Related Questions

By selling a watch on 400 and 460’. Loss and profit happened respectively.if the loss and profit are equal, find cp.

Answers

Answer:

430

Step-by-step explanation:

Given :-

By selling a watch on 400 and 460’. Loss and profit happened respectively.The loss and profit are equal.

And we need to find out the CP .So ,

Let :-

CP be xProfit and Lost be y .

According to the Question :-

\(:\implies\) 460 = x + y ( Profit)

\(:\implies\) 400 = x - y ( Loss)

Adding both :-

\(:\implies\) 460 + 400 = x + y + x - y

\(:\implies\) 860 = 2x

\(:\implies\) x = 860/2

\(:\implies\) x = 430

Hence the Cost price of the watch is 430 .

12 inches
What is the circumference of the above circle? Use t = 3.14
inches (do not round your answer)

12 inchesWhat is the circumference of the above circle? Use t = 3.14inches (do not round your answer)

Answers

Answer:

37.68

Step-by-step explanation:

D=12

PI=3.14

C=(D)(PI)

C=(12)(3.14)

C=37.68

A teacher brought some apples to distribute among students. After distributing 19 pounds of apples, 3 pounds of apples were left. How many pounds of apples did the teacher originally bring? A. 3 B. 9 C. 16 D. 22

Answers

Answer:

19 pounds of apple was shared and 3 pounds of apple were left to be shared for the students

A

Answer:

D. 22

Step-by-step explanation:

We're looking for the sum of 19 pounds and 3 pounds. The teacher gave out 19 pounds of apples. After giving them out, they had 3 pounds left of the total. To find the total, we need to add those amounts:

19 + 3 = 22

We can check our answer by doing this:

22 - 19 = 3

As you can see, if you had 22 pounds of apples and gave out 19 pounds, you are left with 3 pounds. This is the amount left, as mentioned in the problem. The answer is D.

Jose constructed Triangle DCE, where m m • Are the two triangles similar to one another?

Answers

Answer:

please write question with full info

Use differentials to estimate the value of ⁴√16.5. Compare the answer to the exact value of ⁴√16.5. Round your answers to six decimal places, if required. You can use a calculator, spreadsheet, browser, etc. to calculate the exact value. estimate =______. exact value= _____

Answers

Using differentials, the approximate value of ⁴√16.5 is 2.1247, and the exact value of ⁴√16.5 is 2.1252. (Rounded to six decimal places).

Given, we are required to estimate the value of ⁴√16.5 using differentials. We know that the formula for differentials is given by: df = f'(x)dx. We can express the value to be estimated as: f(x) = ⁴√x. Therefore, the differential of f(x) is given by:f'(x) = 1/4 x^(-3/4). Next, we substitute the given values into the differential formula: df = f'(x)dx

∆f = f'(x)∆x∆x is the small change in x, and x + ∆x represents the new value of x that is close to x. Thus, we can write: x = 16.5, ∆x = 0.1. Now, we substitute into the formula above and simplify as shown below: ∆f ≈ f'(x)∆x= 1/4 (16.5)^(-3/4) × 0.1≈ 0.0004389

The estimate of the value of ⁴√16.5 is therefore: f(x + ∆x) ≈ f(x) + ∆f= 2.1247 (approx. 4 d.p) To find the exact value of ⁴√16.5, we can use a calculator or any other tool available to us. The exact value is: 2.1252 (rounded to 6 decimal places) Comparing the estimated value of 2.1247 with the exact value of 2.1252, we can see that the estimated value is very close to the exact value of 2.1252.

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if two numbers are randomly chosen without replacement from $\{1, 2, 3, 4, 5\}$, what is the probability their sum is greater than their product? express your answer as a common fraction.

Answers

What is the likelihood that for at least a single two numbers is 1 if they are randomly selected from the range of 1, 2, 3, 4, 5, and 6? To remove one from the chance that no choices for 1 are made:

How do probability and an example work?

The likelihood of success is a measure of probability. the number of potential outcomes. For instance, the chance of tossing a coin & obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail).

We denote this with P(heads)

12 P(at least 1 one) = 1 - P. (no ones)

P(no ones) equals (5/6)*(5/6)

25/36 P(at least 1 one) equals (1 - 25/36)

11/36 P(sum higher than product) equals P(at least 1 one) = 11/36

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You spend 63.50 on snacks. Bag of ships cost 4.50 and can of soda cost 3.50. You buy a total of 31 items show your work on how you came up with your system of linear equations

Answers

Let's denote the number of bags of chips as x and the number of cans of soda as y. We can set up a system of linear equations based on the given information:

Equation 1: The cost equation - 4.50x - 3.50y = 63.50

This equation represents the total cost of the snacks, where the cost of each bag of chips (4.50) multiplied by the number of bags (x) and the cost of each can of soda (3.50) multiplied by the number of cans (y) equals the total cost (63.50).

Equation 2: The quantity equation - x + y = 31

This equation represents the total number of items purchased, where the number of bags of chips (x) plus the number of cans of soda (y) equals the total number of items (31).

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In this problem, you will explore the properties of rectangles. A rectangle is a quadrilateral with four right angles.


c.Write a conjecture about the diagonals of a rectangle.

Answers

A rectangle is a quadrilateral having four right angles.

Conjecture: The diagonals of a rectangle are congruent and bisect each other.

To understand the conjecture about the diagonals of a rectangle, let's first define what diagonals are. Diagonals are line segments that connect non-adjacent vertices of a polygon.

In the case of a rectangle, we have a quadrilateral with four right angles, meaning all its angles are 90 degrees. Now, let's consider a rectangle and its diagonals.

When we draw the diagonals of a rectangle, we can observe that they bisect each other, dividing the rectangle into four congruent right triangles. The diagonals intersect at their midpoints.

To show that the diagonals are congruent, we can use the concept of symmetry in a rectangle. Since a rectangle has two pairs of congruent sides, it exhibits a symmetry about its diagonals. This symmetry implies that the lengths of the two diagonals are equal.

Therefore, based on our observations and the symmetry of a rectangle, we can make the conjecture that the diagonals of a rectangle are congruent and bisect each other.

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What is 23.826 correct to two decimal places

Answers

Answer:

23.83

Step-by-step explanation:

If the number next to it is above 5 then you round it up.

So the 2 becomes a 3 because the 6 to the right of it is above 5.

Hope this helps

Brainliest would be appreciated

can you help stuck on this question for a while ​

can you help stuck on this question for a while

Answers

Answer:

Option B

Step-by-step explanation:

Length of the rectangular sand box is given by the function,

F(x) = 3x³ + 6x - 2

Width of the sand box is represented by the function,

W(x) = 2x² - 4

Area function for the sand box will be,

Area of a rectangle = Length × Width

F(x) × W(x) = (3x³ + 6x - 2)(2x² - 4)

                 = 2x²(3x³ + 6x - 2) - 4(3x³ + 6x - 2)

                 = 6x⁵+ 12x³ - 4x²- 12x³- 24x + 8

                 = 6x⁵- 4x²- 24x + 8

Therefore, Area function will be represented by a polynomial degree of 5.

Option B will be the answer.

An online retail company determined that their cost for each day, x, can be determined by the function C(x) = 2x^2 – 20x + 70 and their revenue by the function R(x) = –x^2 + 5x + 18. How many days will it take for the company to earn a profit?

4
5
20
22

Answers

Answer:

4

Step-by-step explanation:

revenue has to be greater than cost for a profit

revenue minus cost = profit

2x^2 – 20x + 70 - (–x^2 + 5x + 18) =

2x^2 – 20x + 70 + x^2 - 5x - 18 =

3x^2 – 25x + 52 ≤ 0

(x - 4) (3x - 13)  ≤ 0

x ≤ 4

x ≤ 13/3

since its multiple choice you can enter one of the answers where the x is to get the answer

if you don't know what the question is and are short on time this may help

again:

revenue has to be greater than cost for a profit

revenue minus cost = profit

cost is 2x^2 – 20x + 70

revenue is –x^2 + 5x + 18

cost is

2(4)^2 – 20(4) + 70 =

32-80+70 =

102-80 =

22

revenue is

–x^2 + 5x + 18

–(4)^2 + 5(4) + 18

-16+20+18

-16+38

22

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

cost is

2(5)^2 – 20(5) + 70 =

20

revenue is

–(5)^2 + 5(5) + 18

18

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

cost is

2(20)^2 – 20(20) + 70 =

470

revenue is

–(20)^2 + 5(20) + 18

-282

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

cost is

2(22)^2 – 20(22) + 70 =

598

revenue is

–(22)^2 + 5(22) + 18

-356

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

cost is

2(3)^2 – 20(3) + 70 =

28

revenue is

–(3)^2 + 5(3) + 18

24

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

cost is

2(2)^2 – 20(2) + 70 =

38

revenue is

–(2)^2 + 5(2) + 18

24

Find the equation of the linear function represented by the table below in slope-
intercept form.

Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

Answer:

y=-3x-5.

Step-by-step explanation:

1) the slope-intercetion form is: y=s*x+i, where 's' and 'i' are slope and interception - unknown numbers;

2) if A(-2;1) and B(2;-11), then the slope can be calculated:

\(s=\frac{Y_B-Y_A}{X_B-X_A}=\frac{-11-1}{2+2}=-3;\)

3) midpoint of AB has coordinates (0;'i') - interception point , where i - needed number. Then i=1/2*(-11+1)=-5;

4) If s=-3 and i=-5, then the required equation is:

y=-3x-5.

Write the output when the input is n .

Write the output when the input is n .

Answers

The output is 2n when the input is n. This can be solved by the concept of pairs.

What is pairs?

A pair is defined as a group of two items or numbers that are connected in some way. It is a 2-tuple since the pair and is often represented by the symbol (,) and is commonly seen to be ordered. Pairs are occasionally referred to as brothers or twins. All the many ways that a single number can be made up are called number pairs. The fundamental idea of number bonds serves as a crucial basis for learning how numbers function.

Input:      2        4       8       n

Output:   4        8       10     2n

Looking at other pairs, we know that the output is 2 times the input.

So, the output is 2n when the input is n.

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Apples are prepared in a process with two resources. The first resource has a capacity of 2.1 apples per hour. The capacity of the second resource is 4.4 apples per hour. The first resource has 1 worker and the second resource has 4 workers. Demand for this process is 1.6 apples per hour. Wages are $8 per hour.
What is the cost of direct labor (in $)?per unit

Answers

The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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f(x) = 2(x − 5), find f(8).

Answers

Answer:

6

Step-by-step explanation:

f(8)=2(8-5)

f(8)=2(3)

f(8)=6

have a great day

Two times a number plus three equals one half of the number plus 30. What is the number?

Answers

Let the number be x

x=18

if you really liked my answer, be sure to rate, thanks, and award brainliest

hope this helped :)

Answer:    X=18

Step-by-step explanation:

PLEASE HELP FAST ILL GIVE BRAINLIEST IF CORRECT!!!!

The two lines graphed below are not parallel. How many solutions are there to the system of equations?

A. One solution

B. Infinitely many solutions

C. Two solutions

D. No solutions

PLEASE HELP FAST ILL GIVE BRAINLIEST IF CORRECT!!!!The two lines graphed below are not parallel. How

Answers

Answer: (A) One solution

I need the answer to this

I need the answer to this

Answers

Answer:

x = 9

Step-by-step explanation:

Answer: x = 9

Step by step

31x + 81 = 360

Step 1: Subtract 81 from both

31x + 81 – 81 = 360 – 81

31x = 279

Step 2: Divide both sides by 3.

31x/3 = 279/31

x = 9

what is it solved using quadratic formula?

what is it solved using quadratic formula?

Answers

i believe the answers are:

-3/2
-7/2

The equation of exchange is a theory of the macroeconomy as it stands. can be turned into a theory of the macroeconomy if certain assumptions are made about some of its variables. cannot be turned into a theory of the macroeconomy. is a theory in microeconomics as it stands.

Answers

The equation of exchange a) is a theory of the macroeconomy as it stands.

Option (a) is the correct answer. The equation of exchange is a fundamental equation in monetary economics that relates the quantity of money in an economy (M), the velocity of money (V), the price level (P), and the volume of transactions (T). The equation is typically represented as:

M x V = P x T

This equation, first formulated by economist Irving Fisher, highlights the relationship between money, prices, and economic activity in an economy. It provides insights into the factors that influence inflation, changes in economic output, and the role of money in the macroeconomy.

While the equation of exchange can be used as a starting point for developing more comprehensive theories of the macroeconomy, it is important to note that it is a simplified representation that does not capture all the complexities of real-world economic systems. Nonetheless, it remains a useful tool for understanding the relationships between money, prices, and economic transactions in the macroeconomic context.

Correct Question :

The equation of exchange

a) is a theory of the macroeconomy as it stands.

b) can be turned into a theory of the macroeconomy if certain assumptions are made about some of its variables.

c) cannot be turned into a theory of the macroeconomy.

d) is a theory in microeconomics as it stands.

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A ball is dropped from the top of a window 28 m from the ground. Every time the ball bounces, it loses 16% of its height. Calculate the total vertical distance the ball travelled by the time the ball touches the ground at the 10th bounce. (Round final solution to 2 decimals.)

Answers

The total vertical distance traveled by the ball is approximately 14.22 meters.

To calculate the total vertical distance the ball traveled by the time it touches the ground at the 10th bounce, we need to consider the height of each bounce.

The initial height of the ball is 28 meters.

After the first bounce, the ball reaches a height of (100% - 16%) of the initial height, which is 84% of 28 meters.

After the second bounce, the ball reaches a height of (100% - 16%) of the previous height, which is 84% of 84% of 28 meters.

We can observe that the height after each bounce forms a geometric sequence with a common ratio of 0.84 (100% - 16%).

To calculate the height after the 10th bounce, we can use the formula for the nth term of a geometric sequence:

hn = a * r^(n-1)

where:

- hn is the height after the nth bounce

- a is the initial height

- r is the common ratio

- n is the number of bounces

Using the given values:

a = 28 meters

r = 0.84

n = 10

We can calculate the height after the 10th bounce:

h10 = 28 * 0.84^(10-1)

h10 ≈ 28 * 0.84^9 ≈ 28 * 0.254 ≈ 7.11 meters

The total vertical distance traveled by the ball by the time it touches the ground at the 10th bounce is twice the height of the 10th bounce:

Total distance = 2 * h10 ≈ 2 * 7.11 ≈ 14.22 meters

Therefore, the total vertical distance traveled by the ball is approximately 14.22 meters.

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Help now if you dare!

Help now if you dare!

Answers

Answer:

saturn

Step-by-step explanation:

ur anus

saturn and it’s because it is you are welcome

For the function g(x)=-8x7+4x describe the end behavior using the notation we discussed in class

Answers

As x approaches negative infinity or positive infinity, the function g(x) approaches negative infinity.

The behavior of a function at the extremes of its domain is referred to as its end behavior. In other words, the end behavior of a function refers to what happens to its values as x approaches positive or negative infinity.We determine end behavior by analyzing the leading coefficient of the function and its degree. For this function, the degree is 7, and the leading coefficient is -8. We can look at the sign of the leading coefficient to determine the end behavior of the function. The sign of the leading coefficient will tell us whether the function will increase or decrease as x becomes larger in either direction, positive or negative.The leading coefficient is negative, so the curve will move downwards as x becomes larger. As x approaches negative infinity or positive infinity, the y-value of the function will approach negative infinity.

Thus, as x approaches negative infinity or positive infinity, the function g(x) approaches negative infinity. The leading coefficient of the function is negative, which causes the curve to move downward towards negative infinity as x becomes larger in either direction.

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Find all relative extrema of the function.f(x)=x4−4x3

Answers

The only relative extremum of the function f(x) = x^4 - 4x^3 is a relative minimum at x = 3.

To find the relative extrema of the function f(x) = x^4 - 4x^3, we need to find the critical points and then determine whether they correspond to relative maxima, relative minima, or neither.

First, we find the first derivative of f(x) by using the power rule:

f'(x) = 4x^3 - 12x^2

Next, we find the critical points by setting the derivative equal to zero and solving for x:

4x^3 - 12x^2 = 0

4x^2(x - 3) = 0

So the critical points are x = 0 and x = 3.

To determine whether these critical points correspond to relative maxima, relative minima, or neither, we use the second derivative test. We find the second derivative of f(x) by using the power rule:

f''(x) = 12x^2 - 24x

Then we evaluate the second derivative at each critical point:

f''(0) = 0 - 0 = 0

f''(3) = 12(3)^2 - 24(3) = 36 > 0

Since f''(0) = 0 and f''(3) > 0, we can conclude that: x = 0 is not a relative extremum because the second derivative test is inconclusive.

x = 3 is a relative minimum because the second derivative test shows that f''(3) is positive, which means that the graph of the function is concave up at x = 3, and therefore x = 3 corresponds to a relative minimum.

Therefore, the only relative extremum of the function f(x) = x^4 - 4x^3 is a relative minimum at x = 3.

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Complete the following sentence.
According to BankRate.com data that surveyed the largest banks and thrifts in July 2012,
fees.
funds averaged $31.26 in bank

i need answer asap!!

Answers

According to BankRate.com data that surveyed the largest banks and thrifts in July 2012, fees for overdrafts and insufficient funds averaged $31.26 in bank accounts.

What is an overdraft?

An overdraft refers to a loan that a bank provides its customer by allowing him/her to pay for bills and other expenses when the account reaches zero or insufficient balance.

An overdraft shows that the account holder owes money to the bank.

Overdrafts can occur in different types of bank accounts like checking/current accounts, savings accounts, etc.

Like other types of loans, banks often charge fees for overdrafts, including the fact that the account holder may also be required to repay the overdraft amount with any applicable fees.

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Answer:

insufficient

Step-by-step explanation:

According to BankRate.com data that surveyed the largest banks and thrifts in July 2012, insufficient funds averaged $31.26 in bank fees.

Plz help will mark brainliest plz!!

Plz help will mark brainliest plz!!

Answers

Answer:

Total area of the fabric = 66 in.²

Step-by-step explanation:

The diagram of the stretched fabric shown takes the shape of a kite having two diagonals that intersect each other.

Total area of the fabric = area of the kite = ½(product of the two diagonals)

= ½(AC × BD)

We need to find AC and BD

BE = DE = 6 in. (Equal lengths)

BD = BE + DE

BD = 6 + 6 = 12 in.

AC = AE + CE

Apply Pythagorean theorem to find AE and CE

✔️AE = √(AB² - BE²) = √((√45)² - 6²) = √(45 - 36) = √9 = 3 in.

✔️CE = √(CD² - DE²) = √(10² - 6²) = √(100 - 36) = √64 = 8 in.

FIND AC:

✔️AC = AE + CE

AC = 3 + 8

AC = 11 in.

FIND the total area of the fabric:

✔️Total area = ½(AC × BD) = ½(11 × 12)

= ½(132)

= 66 in.²

Match each problem to the inequality that models it. Once choice will be used twice *

Match each problem to the inequality that models it. Once choice will be used twice *

Answers

Answer:

yes

Step-by-step explanation:

1 sentences- c

2 sentence - b

3 sentence- d

4 sentence- a

5 sentence- c

for a normal distribution, a positive value of z indicates that group of answer choices all the observations must have had positive values. the area corresponding to the z is either positive or negative. the sample mean is smaller than the population mean. the sample mean is larger than the population mean.

Answers

For a normal distribution ,a positive value of z simply means that the observation or sample mean is above the population mean this implies

none of the options provided is completely accurate.

All the observations must have had positive values,

It is not necessarily true for a positive value of z.

The value of z indicates how many standard deviations away from the mean a particular observation or sample mean is.

A positive value of z simply means that the observation or sample mean is above the population mean.

The area corresponding to the z is either positive or negative,

It is also not accurate.

The area under the normal curve corresponds to probabilities, not positive or negative values.

The area to the right of the mean corresponds to positive z-values, and the area to the left of the mean corresponds to negative z-values.

The sample mean is smaller than the population mean,

It is a possibility when the z-value is negative, indicating that the sample mean is below the population mean.

The sample mean is larger than the population mean,

It is a possibility when the z-value is positive, indicating that the sample mean is above the population mean.

Therefore, the sample mean can be either larger or smaller than the population mean depending on the direction of the z-value.

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A number line going from negative 3 to positive 3 in increments of 1. There are 2 equal spaces between the numbers. Which inequality is true?
–1. 5 > –0. 5
Negative one-half
–2. 5 < –2
Negative 1 and one-half

Answers

The inequality that is true is: -1.5 > -0.5. (Option 1)

The number line goes from -3 to 3 in increments of 1, so there are 7 equally spaced numbers. Since there are 2 equal spaces between the numbers, each space represents (1/3) x 2 = 2/3 units.

To find the position of -1.5 on the number line, we start at -2 and move two-thirds of a unit to the right. To find the position of -0.5, we start at -1 and move two-thirds of a unit to the right.

Therefore, -1.5 is to the left of -0.5 on the number line, so the inequality -1.5 > -0.5 is true. The other option, -2.5 < -2, is not true because -2.5 is to the left of -2 on the number line.

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Convert 0.0150 km to meters and express the answer to the correct number of significant digits. a. 150 m b. 15 m c. 15.0 m d. 150.0 m

Answers

The correct answer is option C which is 15 meters.

What is unit conversion?

Unit conversion is a multi-step process that entails multiplying or dividing by a numerical factor, selecting the correct number of significant digits, and then multiplying or dividing by another numerical factor.

The unit conversion will be done as:-

1 km  =  1000 meters

0.0150 Km = 0.0150 x 1000 meters

0.0150 Km = 15 meters

Therefore the correct answer is option C which is 15 meters.

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Short 5 Marks Questions: HSBC Bank offered you following rates in the money market. You have \( \$ 5,000 \). Can you use triangular arbitrage to generate a profit? If so, explain the order of the tran If x4xy= x16, what is the value of y? In "A Wolf and Little Daughter," which element is repeatedso that tension builds in the story?Papa says to stay inside the gate.Papa goes away for something.Little Daughter looks through the gate.Little Daughter picks flowers Help if you speak Spanish question is in the picture A nonpolar solvent has the highest solubility with a(n) _____ solute. A. polar B. nonpolar C. ionic D. electrically charged solute. a key disadvantage of the electrical stimulation technique is that Find the inequality represented by the graph what Junior meanswhen he says "We were supposed to be happy with our limitations," (page 81). Who is he talking about and what are the limitations he's talking about? Can you relate to the way Junior wants to "fly" ? Solve.10 w = 90w = ______ Read this passage: In 2028, the Republican Party controls the U.S. Senate and the Democratic Party controls the U.S. House of Representatives. Each party hopes its candidate can win the presidential election, giving the party more of a say in the country's policies. It's a close race - in the end, 51 percent of Americans vote for Republican candidate Ted Torres. Former U.S. senator Rosa Marcus, the Democratic candidate, receives 5 more electoral votes than Torres just enough for her to reach a total of 270 electoral votes. Based on the rules of the Electoral College, who will win the election and why? O A. Torres will win because close races are decided by the U.S. House of Representatives. B. Torres will win because he won the popular vote. O C. Marcus will win because close races are decided by the U.S. Senate. D. Marcus will win because she has the required number of electoral HELP ASAP!!!! 20 POINTS!! Following a strategy of product differentiation, Westwood Corporation (W) makes a high-end kitchen range hood, KE8. Ws data for 2012 and 2013 follow on the next slide.In 2013, W produced no defective units and reduced direct materials usage per unit of KE8. Conversion costs in each year are tied to manufacturing capacity. Selling and customer service costs are related to the number of customers that the functions are designed to support. W has 23 customers (wholesalers) in 2012 and 25 customers in 2013.Units of KE8 produced and sold 40,000 42,000Selling Price $100 $110Direct Materials (sq ft) 120,000 123,000 DM cost per sq ft $10 $11Manufacturing capacity for KE 850,000units 50,000unitsConversion Costs $1,000,000 $1,100,000CC per unit $20 $22Selling & Customer Service capacity 30customers 29customersSelling & Customer Service Costs$720,000 $725,000 Cost per customer$24,000 $25,000Required:(1) Describe elements you would expect to see in Ws BSC. (2)Calculate the growth, price recovery and productivity components that explain the change in the 2012 to 2013 income. Can you use the worksheet to get the variances?(3) Suppose during 2013, the market size for high-end rangehoods grew 3% and all increases in market share are due to Ws product differentiation strategy. How much of the change in OI is due to the industry market size factor, cost leadership and product differentiation? (4) How successful was the strategy implementation? PLEASE give an answer i will mark brainliest. Why did new imperialism end? dont say why it started or what it is, say why it ended Hi Please I REALLY really REALLY need help with this question 20 POINTSwhen f(x) is divided by x+4 the quotient is x^3+4x^2+3x+1+5/x+4What is f(-4)A)1B)3C)4D)5 What is the relationship between glycolysis and the lacoperon? is the genetic material for all cellular organisms and some viruses. a) rna b)dna c)protein d)chromatin the grand staircase in the desert of the southwest united states includes the grand canyon. the [ select ] of the grand canyon is the [ select ] of zion national park. the [ select ] of zion is the [ select ] of bryce national park. The process of relying on prior case opinions to decide current cases is called:a. Mens Reab. Stare Decisisc. Absent Maliced. Deliberate Indifference Describe how you would evaluate the numerical expression 48 {[2 x (1 + 3)] + 4} In the passage An Occurrence at Owl Creek Bridge, Why does the author say "It did not appear to be the duty of these two men toknow what was occurring at the center of the bridge; they merely blockaded the two ends of the foot planking that traversed it"?A)To emphasize the fact that the soldiers did not know what was about tohappen.B)To emphasize the fact that they respect the soldiers who are about to die.C)To emphasize the fact that they are simply following the orders of theircommanders.D)To emphasize the fact that the men knew they might be put to death next.