Triangle XYZ is taken by a dilation with center Y and scale factor 5/2 to Triangle XYZ.The measure of angle YXZ is 83 degrees and the measure of angle YXZ is 22 degrees.

Answers

Answer 1

Task 1:a) The measure of angle  Y'Z'X'= 22  degrees

Task2:b) The measure of angle X'Y'Z'= 75 degrees.

What is meant by an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are located in the plane where the rays are located. The meeting of two planes can also create an angle. Angle can also be used to describe the size of an angle or of a rotation. This metric represents the proportion of a circular arc's length to radius.

Angle Y'Z'X' = YZX = 22 degrees (in a triangle, angle dilation does not

modify angle size). Only the sides' length varies.

The sum of the triangle's angles for the XYZ angle is 180 - 83

-22 = 75 degrees. Since there are already two angles supplied, the third

angle is 75 degrees, so X'Y'Z' = XYZ = 75 degrees. The dilation angle size remains unchanged (for the same reason as in the previous challenge).

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The complete question is:

"Triangle XYZ is taken by a dilation with center Y and scale factor 5/2 to Triangle X’Y’Z’. The measure of angle YXZ is 83 degrees and the measure of angle YZX is 22 degrees.

Task 1: a) What is the measure of angle Y’Z’X’? Explain your reasoning.

Task 2: b) What is the measure of angle X’Y’Z’? Explain your reasoning."


Related Questions


Explain what it means to have a positive change, give an example.

Answers

making positive changes in eating habits may decide to also improve physical fitness the family need to send workbook 1988 making a few small positive changes will not on the boost your confidence for help you take control of managing the morning

G(Q) = 5 + 3Q + 202 - Q2 C2(Q) = 3 + 4Q + 2 1. Find the MC function for both C1(Q) AND C2(Q). 2. Find AVC function for both Ci(Q) AND C2(Q). 3. Find AFC function for both C1(Q) AND C2(Q). 4. Find AC function for both Ci(Q) AND C2(Q). 5. Find ATC function for both Ci(Q) AND C2(Q).

Answers

MC function.

       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

Find the ATC functions for C1(Q) and C2(Q) given the provided cost functions?

             

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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whats five plus five?

Answers

10 :)))))))) hope this helps

Answer:

10

Step-by-step explanation:

At a contest spped a car teavels 75 miles in 60 minutes how far deos the car travel in 18 minutes if you get stuck consider using this table

Answers

Answer:

it would travel 22.5 miles in 18 minutes

Step-by-step explanation:

it goes 75 miles in 60 minutes so 1 minute would be 0.8 miles so 18 x 0.8 =22.5

suppose you are unlucky and you don’t get card number 3 in the first 3 boxes you buy. on average, how long will you have to wait to get card number 3?

Answers

On average, you will have to wait for 3 more boxes to get card number 3.

This is because the probability of getting card number 3 in each box is 1/3, and the expected value of the number of boxes needed to get card number 3 is the reciprocal of the probability, which is 3.

Here is a step-by-step explanation:
1. The probability of getting card number 3 in each box is 1/3.
2. The expected value of the number of boxes needed to get card number 3 is the reciprocal of the probability, which is 3.
3. Therefore, on average, you will have to wait for 3 more boxes to get card number 3.

So, if you are unlucky and you don’t get card number 3 in the first 3 boxes you buy, on average, you will have to wait for 3 more boxes to get card number 3.

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A contractor purchases seven dozen pairs of padded work gloves for $101.64 she incorrectly calculated the unit price is $14.52 prepared for the expense report what is the correct unit price what is this error

Answers

Answer:

i got 14.52 as the unit price, Is there some sort of tax or extra expense not included with your question?

Step-by-step explanation:

The cable company is analyzing the data from two satellite television providers to determine whether their users spend more time watching live television or shows that have been recorded.

Satellite Company X: 89 live, 430 recorded
Satellite Company Y: 65 live, 94 recorded

To the nearest whole percent, what is the probability that a randomly selected customer from Satellite Company Y watches recorded shows more often than live television?

41%
59%
77%
83%

Answers

Answer: B on Edge2021

Step-by-step explanation:

Just took the test

Probability that a randomly selected customer from Satellite Company Y watches recorded shows more often than live television is 59%.

What is Probability?

Probability is simply the likelihood that something will occur.

Probability of customer randomly selected from Company Y:

Probability(Y)=Recorded/(Live+Recorded)

Probability(Y)=94/(65+94)

Probability(Y)= 94/159

Probability(Y)= 0.59119 ×100

Probability(Y)= 59.12%

Probability(Y)= 59% (Approximately)

Therefore, probability of a randomly selected customer from Satellite Company Y is 59%.

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factorize x square -5x+6

Answers

Answer:

(x-2)(x-3)

Step-by-step explanation:

x1 = 2

x2 = 3

easy

If m angle PQR = 141", find each measure. ​

 If m angle PQR = 141", find each measure.

Answers

Answer:

x=6

pqs=82

sqr=59

Step-by-step explanation:

13x + 4 + 10x - 1 = 141

23x + 3= 141

23x = 136

x = 136/23 = 6

~~~~~~~~~~~~~~~

pqs = 13x + 4  = 13(6) + 4 = 78+4 = 82

sqr =  10x - 1 = 10(6)-1 = 60 - 1 = 59

Answer:

x = 6

Angle PQS is 82

Angle SQR is 59

Step-by-step explanation:

13x + 4 + 10x - 1 = 141

Group like terms : 23x + 3 = 141

Subtract 3 from both sides to get 23x = 138

Divide both sides by 23 to get x = 6

Angle PQS: Plug 6 into x  for 13x + 4 = 13 (6) + 4 = 82

Angle SQR: Plug 6 into x for 10x - 1 = 10 (6) -1 = 59

On an escalator, you move 2 feet vertically for every 3 feet you move horizontally. When you reach the top of the escalator, you have moved a horizontal distance of 90 feet. Find the height of the escalator.

On an escalator, you move 2 feet vertically for every 3 feet you move horizontally. When you reach the

Answers

The height of the escalator is as calculated using trigonometric ratios.

We know that in a right angled triangle the trigonometric ratios are

tan θ = perpendicular ÷ base

For a right angled triangle the tanθ is defined as the ratio of the perpendicular to the base of the triangle . The side opposite the angle θ is the perpendicular and the side adjacent to the θ is the base .

Now it is given that for every 2 feet vertically moved the horizontal distance moved is 3 feet.

Now using the trigonometric ratio of tanθ

tan θ = 2 / 3

Now we will use this ratio to calculate the vertical height for horizontal movement of 90 feet .

Now, the height is given as h .

∴ tan θ = h / 90

or, 2 / 3 = h / 90

or, h = 60 feet

Therefore the height of the escalator is 60 feet.

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9/11 = 13.5/b. Find the B. MARKING BRAINLIST!!

Answers

9514 1404 393

Answer:

  b = 16.5

Step-by-step explanation:

Multiply the equation by 11b/9.

  b = 13.5(11/9)

  b = 16.5

I will give brainliest! Just have 5 mins!!

I will give brainliest! Just have 5 mins!!

Answers

Answer:

Its 3 1/4

Step-by-step explanation:

if RS=2x+6 ST=x+4 and RT=40 find RS

Answers

ANSWER:

STEP-BY-STEP EXPLANATION:

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The school band collects aluminum cans to raise money to pay for their end of year trip. They earn 0.60 per pound of cans collected, from which they have to pay 10.00 each month to have the cans picked up and delivered to the recycling center. In nine months they collected 1250 pounds of aluminum cans. How much money did they raise for their end of year trip.

Answers

Answer: 660$

Step-by-step explanation:

- So we know that in the span of 9 months, they were charged a total of 90$ for the pickup fee.

- If they collected a total of 1250 pounds, we then multiply that by 0.60 (earning per pound) = 750$


750$ (total) - 90$ (pickup fee) = 660$

Find the following probabilities. For full marks, provide a graph showing the corresponding area: [6 marks] a) P (0 -1.57) c) P (-1.34

Answers

To find the probabilities and represent them graphically, we need more information such as the probability distribution or density function associated with the random variable. hs.

To calculate probabilities and create graphs, we require the probability distribution or density function associated with the random variable. This function describes how probabilities are distributed across different values of the variable. Without this information, we cannot determine the probabilities or create accurate graphs.

In the given question, only intervals are provided (e.g., (0 < x < 1.57) or (-1.34 < x < 0)). However, we don't know the specific probability distribution or the shape of the distribution. Different distributions have different shapes and characteristics, and each would require a different approach to calculate probabilities and create corresponding graphs.

For example, if we assume a normal distribution, we would need to know the mean and standard deviation to determine the probabilities within specific intervals. Alternatively, if we are dealing with a discrete distribution, such as a binomial or Poisson distribution, we would need to know the relevant parameters for those distributions.

Therefore, without additional information about the probability distribution or density function, we cannot provide specific probabilities or create corresponding graphs.

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is y = -x a proportional relationship

Answers

Answer:

For any proportional relationship, k=yx (such as a line that passes through the origin). Find the equation of the line by solving for y in the constant of proportionality equation. This equation y=kx is another representation of a proportional relationship.

Step-by-step explanation:

Answer:

Yes kdsjsbahajajsjsbsbsbsnsn

please help meee correct answer gets brainliest

please help meee correct answer gets brainliest

Answers

Answer:

y = 7x

Step-by-step explanation:

y = px

21 = p(3)

÷3

7 = p

A farmer needs to enclose three sides of a pasture with a fence (the fourth side is a river). The farmer has 43 meters of fence and wants the pasture to have an area of 228 sq-meters. What should the dimensions of the pasture be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). Additionally, the length should be as long as possible. )

Answers

The length of the field is 21.5 meters

The width of the field is 10.75 meters

If "w" is the width, then the length is 43 - 2w.

As the area of the rectangular field = length × width

= w(43 - 2w)

Area = \(43w - 2w^2\)

the vertex of the x coordinate is w and this is a quadratic equation.

w = \(-b/2a\)

Here a = -2 and b = 43

w = .\(-43/2(-2)\)

w = \(-43/4\) = -10.75

So the width of the field is 12.25 meters.

The length of the filed = 43 - 2(10.75) = 21.5

Area = 10.75 × 21.5 = 231.125 square meters.

The field has an area of 228.

Therefore, the length must be 21.5 meters and the width must be 10.75 meters.

21.5 × 10.75 =294 square meters.

Therefore, the length of the field is 21.5 meters, and the width of the field is 10.75 meters.

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6) Your car cost $42,500 when you
purchased it in 2017. The value of the
car depreciates by 15% annually.
a) Write an exponential function to
represent this situation.
b) How much will your car be worth
in 20242 Round your answer to the
nearest dollar.
HELP ME

Answers

Answer:

Step-by-step explanation:

Using exponential function concepts, it is found that:

The model is: .

The car will be worth $13,625 in 7 years.

Find the value of w
The exterior angles are 85, 93, 107, and w

Answers

Answer:

Exterior angles

Answer: 75.

Which shows the solution of the combined inequality?

−1≤2−j<−5
Responses

Number line ranging from negative six to zero with a line beginning with an open point at negative five and ending with a closed point at negative one

Image with alt text: Number line ranging from negative six to zero with a line beginning with an open point at negative five and ending with a closed point at negative one

Number line ranging from negative six to zero with a line beginning with a closed point at negative five and ending with an open point at negative one

Image with alt text: Number line ranging from negative six to zero with a line beginning with a closed point at negative five and ending with an open point at negative one

Number line ranging from zero to six with a line beginning with a closed point at one and ending with an open point at five

Image with alt text: Number line ranging from zero to six with a line beginning with a closed point at one and ending with an open point at five

no solution

Answers

The correct option regarding the solution of the compound inequality is given as follows:

No solution.

How to solve the inequality?

The inequality for this problem is defined as follows:

−1≤2−j<−5

Hence the first condition is of:

j - 2 ≤ 1

j ≤ 3.

The second condition is of:

2−j<−5

j < -7

j > 7.

We have an and operation, meaning that the two conditions must be satisfied simultaneously.

A number cannot be simultaneously less or equal to 3 and greater than 7, hence the compound inequality has no solution.

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How many more minutes can mate car travel per gallon of gas then jenna's car

Answers

Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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how deep is the ocean

Answers

Answer:

On average 2.3 miles deep or 12,144 feet

The max depth in the Pacific ocean has been recorded at 36,161 feet.

A theatre has n rows and m seats in each row. How many seats are in the theatre

Answers

The number of seats in the front row can be represented as: s = x - (n - 1) * (2y / n - x) / (n - 1) = x - (2y - nx) / n

Let's call the number of seats in the first row "s". Then, the number of seats in the second row is s + d, the number of seats in the third row is s + 2d, and so on. The total number of seats in the theater can be represented as:

s + (s + d) + (s + 2d) + ... + (s + (n - 1)d) = y

Expanding this equation and combining like terms, we get:

ns + (d * (n - 1) * n) / 2 = y

Now that we have an equation for the total number of seats in terms of n, d, and y, we can use the number of seats in the last row to solve for s, the number of seats in the first row:

s + (n - 1)d = x

ns + (d * (n - 1) * n) / 2 = y

Solving for s in terms of n, x, and y:

s = x - (n - 1)d

ns + (d * (n - 1) * n) / 2 = y

Substituting this expression for s into the equation for the total number of seats:

(x - (n - 1)d) + (d * (n - 1) * n) / 2 = y

Expanding and solving for d:

x + (n - 1)d = 2y / n

d = (2y / n - x) / (n - 1)

Finally, substituting this expression for d back into the equation for s:

s = x - (n - 1) * (2y / n - x) / (n - 1)

So the number of seats in the front row can be represented as:

s = x - (n - 1) * (2y / n - x) / (n - 1)

= x - (2y - nx) / n

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The complete question is:

A theater has n rows of seats, and each row has d more seats than the row in front of it. There are x seats in the last (nth) row and a total of y seats in the entire theater. How many seats are in the front row of the theater? Write your answer in terms of n, x, and y.

Write an algebraic expression for the following:
5 less than twice a number

Answers

5 less would be -5

twice a number would be *2

so the expression would be

2x - 5

Answer:

2x - 5

Step-by-step explanation:

let assume the number is x:

Therefore 2x - 5

in multiple regression analysis, the correlation among the independent variables is termed _____.A) multicollinearityB) linearityC) adjusted coefficient of determinationD) homoscedasticity

Answers

In multiple regression analysis, the correlation among the independent variables is termed multicollinearity

Multicollinearity in a multivariate regression model refers to the correlations between two or more independent variables. Multicollinearity can lead to skewed or false results when a researcher or analyst attempts to determine how effectively each independent variable can be used to predict or understand the dependent variable in a specific statistical model.

It is the term which is generally used to describe the situation in which two or more explanatory variables in a multiple regression model have strong linear correlations with one another but not with the dependent variable. Many times, the creation of new dependent variables that are reliant on other variables can also result in multicollinearity.

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Find each of the following under the given conditions. (Enter the exact answer as a fraction. Decimal answers will not be accepted. Your answer should not contain sin, cos, or tan.)sin(x) = -5/13 (pi

Answers

Given that sin(x) = -5/13 and the condition is to provide the answer without using sin, cos, or tan, I assume you are looking for the value of cos(x).

We can use the Pythagorean identity: sin²(x) + cos²(x) = 1

Substitute the given value of sin(x):
(-5/13)² + cos²(x) = 1

Solve for cos²(x):
cos²(x) = 1 - (-5/13)²

cos²(x) = 1 - (25/169)

Now find the common denominator (169) and subtract:
cos²(x) = (169/169) - (25/169)

cos²(x) = 144/169

Since we need the value of cos(x), we take the square root of both sides:
cos(x) = ±√(144/169)

cos(x) = ±12/13

Since the value of sin(x) is negative, we are in the third or fourth quadrant, where the cosine is also negative. Therefore, we choose the negative value for cos(x):

cos(x) = -12/13

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What is the solution to –2(8x – 4) < 2x + 5?
○ x >
7/160
ㅇㅎ
X<
○ x > 6
○ x < 6

Answers

The solution to the inequality expression is x > 1/6

How to determine the solution to the inequality expression

From the question, we have the following parameters that can be used in our computation:

–2(8x – 4) < 2x + 5

Open the brackets

So, we have

-16x + 8 < 2x + 5

Evaluate the like terms

-18x < -3

Divide both sides by -18

x > 1/6

Hence, the solution is x > 1/6

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convert the following measurements into centimeters
A. 15m
B. 1.6km
C. 467mm​

Answers

Answers:

A. 150 cmB. 160,000 cmC. 46.7 cm

===========================================

Work Shown:

\(15 \text{ m} = (15 \text{ m})*\frac{100 \text{ cm}}{1 \text{ m}} = 1500 \text{ cm}\\\\\\1.6 \text{ km} = (1.6 \text{ km})*\frac{1000 \text{ m}}{1 \text{ km}}*\frac{100 \text{ cm}}{1 \text{ m}} = 160,000 \text{ cm}\\\\\\467 \text{ mm} = (467 \text{ mm})*\frac{1 \text{ cm}}{10 \text{ mm}} = 46.7 \text{ cm}\)

Each conversion fraction is set up to cancel out any unit that isn't "centimeters".

Side notes:

1 m = 100 cm1 km = 1000 m1 cm = 10 mm

The random variable w has a geometric distribution with p=0.25. approximately how far do the values of w typically vary, on average, from the mean of the distribution?

Answers

The values of w typically vary, on average, from the mean of the distribution about 3.46.

How to illustrate the deviation?

The degree of data dispersion from the mean is indicated by the standard deviation. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.

For a geometric(p = 0.25) distribution, the variance is computed here as:

Var(X) = (1 - p)/ p2 = (1 - 0.25) / 0.252 = 12

Therefore, the standard deviation is computed as:

= ✓(12) = 3.46 observations.

This is the standard deviation of the given distribution here.

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Why is there such adifference in the timethe sun sets in Julyvs. the time the sunsets in December? determine the largest subset of double-struck r3 on which the given vector field is differentiable. f = (x2 y2 z2 7)4/3, x cos(yz), xy 9 z2 Argues that the multitude will rise up against global capitalism During the initial setup of a new switch, which of the following configuration tasks should be performed? (Select three.)Set passwords for the console, virtual terminal (TTY) ,and enable mode.Set an IP address for remote management.Set the default gateway for remote management. PLZ HELP ME UNERSTANDING THIS PLZZZ I'LL MAKE YOU BRAINLY!! ANYTHING ILL HELP U!!! a boy fires a spring-loaded ping-pong ball gun. briefly compare the forces and impulses on the gun and the ball. which has more momentum? which moves faster? Apex Corporation set the following standards for direct materials for 2022. The material is Chemical X used in a product manufactured by the company. 120 ounces of Chemical X per unit at a standard cost of $0.45 per ounce At the end of 2022, the company reported the following actual results related to direct materials. Purchased 210,000 ounces of Chemical X at $0.47 per ounce Used 207,000 ounces of Chemical X to produce 1,800 units Required: Calculate the direct material price variance and direct material quantity variance (show work and clearly label each answer). Note that the amount purchased does not equal the amount used in this problem; therefore, you must use the 4-line approach shown in class. The inventory data for an item for April is listed below. Usethis inventory information to answer the question listed below.Apr1. inventory 120 units at 33$10. purchased 40 units at 36$19. sold 60 A process in which a cell reverts back into an earlier cell type is called? H/W12Date:Writing JunctionWrite telling sentences for each of these sentencesThe marshmallow will melt in the mouth like butter. Use the word capacityin a sentence. What is true about the impeachment purpose and process?Choose all answers that are correct.ResponsesThe U.S. Senate must conduct a trial to consider the charges brought by the House of Representatives.The U.S. Senate must conduct a trial to consider the charges brought by the House of Representatives.A unanimous yes vote in the House of Representatives is required for the impeachment of an official.A unanimous yes vote in the House of Representatives is required for the impeachment of an official.Only the U.S. House of Representatives has the power to begin the impeachment process against a U.S. official.Only the U.S. House of Representatives has the power to begin the impeachment process against a U.S. official.An official who is impeached and convicted must go to jail or pay a fine.An official who is impeached and convicted must go to jail or pay a fine.Impeachment is a way to remove government officials who break the law or abuse their power in a serious way. In 1999 the student enrollment at a college was 13% more than it was in 1998 if the enrollment was 12,204 in 2000 which was 8% more than 1999 find the enrollment in 1998 Can u help me on this Decide if each name is correct for line CD. Choose yes or no.YesNoADBDCEAEDCDE Assume that market interest rates are 6% and the bondholder receives a $60 coupon payment per year on a perpetuity bond with a face value of $1,000. If market interest rates fall to 4%, the bond price Orises to $1,500 rises to $2,000 falls to $500 O rises to $1,400 When Adrian runs the 400 meter dash, his finishing times are normally distributed with a mean of 77 seconds and a standard deviation of 3 seconds. What is the probability that in a given race, his finishing time will be faster than 75 seconds, to the nearest thousandth? HELP QUICK!!How did the monarchs of Austria and Russia use their power as absolute rulers? Detail: The delegates agreed that the new government would be limited and, the powers of the national government would be divided among ____branches, and that state power should be limited. Mr. Fredlin harvests oranges from his orange tree every year. The tree produced 75 pounds of oranges in its first crop. As the tree has matured since its first crop, the weight in pounds, , of the orange harvest has increased exponentially by 45% each year according to the function w (t)=75(1.45)^t , where is the number of years since the first crop. Based on this model, how many pounds of oranges is the tree expected to harvest in 4 years (rounded to the nearest whole pound)?