Write an equation that is parallel to y = ¾x - 19 and passes
through the point (8,-5) in slope intercept-form.

Answers

Answer 1

Answer:

y = 3/4x - 11

Step-by-step explanation:

lmk if you want an explanation


Related Questions

Determine the system of transformations, by writing the algebraic notations, that can
be used to map ∆RST onto ∆UVW.

Determine the system of transformations, by writing the algebraic notations, that canbe used to map RST

Answers

The system of transformation used to map ∆RST onto ∆UVW using algebraic notation is (x, y) → (x, y - 4) that is translated down by 4 units and dilation using the scale factor 6.6(x, y).

What is translation?

Translation is the act of moving a form or a figure from one location to another. A figure can move in translation up, down, right, left, or anyplace else in the coordinate system. Just the object's location changes during translation; its size stays the same.

Every point in a form, such as a triangle, rectangle, square, line, circle, and so on, will move by five units in the same direction if one point in the shape moves five units forward. If one point of a triangle travels four units to the left, all three points of the triangle should also move four units to the left.

From the figure we see that the coordinates of the points are:

R = (2, 3)

T = (-1, 0)

U = (1, -2.5)

W = (-0.5, -4)

The first transformation is that the ∆RST is translated down by 4 units.

(x, y) → (x, y - 4)

The second transformation is dilation, since the ∆UVW is smaller in size than the original image.

The distance between RT is:

d = √(-1 -2)² + (0 - 3)²

d = √9 + 9 = √18

The distance between UW is:

d = √(-0.5 - 1)² + (4 + 2.5)²

d = √2.25 + 42.25 = √44.5

The scale factor is:

SF = length of the original figure/ length of new image

SF = √18 / √44.5 = 6.6

Hence, the system of transformation used to map ∆RST onto ∆UVW is (x, y) → (x, y - 4) that is translated down by 4 units and dilation using the scale factor 6.6(x, y).

Learn more about dilation here:

https://brainly.com/question/13176891

#SPJ1

Rotation - Question 5

Rotation - Question 5

Answers

When the former image is rotated, the dots will be located at section 2 and 7.

What is the effects of image rotation?

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

Learn more about rotation here:

https://brainly.com/question/30337265

#SPJ1

H E L P M E PLEASE!!!!

H E L P M E PLEASE!!!!

Answers

Answer:

It is the y=intercept

Step-by-step explanation:

Because if there is no x-value and there is a Y-value,  y-intercept

Answer:

I think it is a Minimum or Maximum

What are the names of the 3 types of angles that add up to 180 degrees? Options:alternate exterior
linear pair/supplementary
same side exterior
same side interior
corresponding
alternate interior
vertical PLEASE HELP I DONT UNDERSTAND

Answers

The three types of angles that add up to 180 degrees are linear pair/supplementary, same side exterior, and same side interior.

Which angles add up to 180 degrees?

For angles to add up to 180 degrees, they need to be supplementary. Angles on a linear pair are supplementary and so will add up to 180 degrees.

Same side interior and same side exterior angles are also supplementary and so they will always add up to 180 degrees.

In conclusion, linear pair/supplementary, same side exterior, and same side interior will add up to 180 degrees.

Find out more on supplementary angles at https://brainly.com/question/404323

#SPJ1

your bucket of halloween candy has 125 pieces

Answers

Based on the fact that you will eat only 5 pieces per day out of the bucket of 125 pieces of candy, this is an arithmetic sequence.

What is an arithmetic sequence?

An arithmetic sequence is one where the difference between the consecutive numbers in the sequence have a common difference.

In this case, the sequence will reduce by 5 and look like:

125, 120, 115, 110, 105, 100,...

The difference between each of these figures is the same and that difference is 5.

With a common difference of 5, we can say that this sequence is arithmetic.

The rest of the question:

Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day. Is this an arithmetic sequence?

Find out more on common differences at https://brainly.com/question/11737544

#SPJ1

Please help this is due today!

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Please help this is due today! Do not answer this with one answer ,blank, or a ridiculous answer....

Answers

Answer:

perdita is correct

Step-by-step explanation:

perdita is correct because A isoceles triangle has two of the same. The triangle will just be very very thin

Plzzz helppppp!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!
Please show work!!!!!!!!!!!

Plzzz helppppp!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!! Please show work!!!!!!!!!!!

Answers

Refer to the equation y=mx+c

Plzzz helppppp!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!! Please show work!!!!!!!!!!!
Plzzz helppppp!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!! Please show work!!!!!!!!!!!

Can somone help me pls

Can somone help me pls

Answers

Answer:

A(Irwin)

C(Jose)

Step-by-step explanation:

Just add or subtract them to get an answer which is 45.62

help me please 2-7
2. Every Tuesday that Yolanda's family has visited a specific local restaurant, the
Nids meals have been free. When Yolanda's family visits that restaurant next
Tuesday, the kids' meals will be free

help me please 2-72. Every Tuesday that Yolanda's family has visited a specific local restaurant, theNids

Answers

The given statement about when next they visit the restaurant that the meals will be free is an example of; inductive reasoning.

What type of reasoning was used?

Inductive reasoning is a type of reasoning that involves forming general theories from specific observations. Observing something happen repeatedly and concluding that it will happen again in the same way is an example of inductive reasoning.

Deductive reasoning is a type of reasoning that involves forming specific conclusions from general premises. An example is; Everyone in this class is an English major; Jesse is in this class; therefore, Jesse is an English major.

Now, from the given question, it was observed that Every Tuesday that Yolanda's family has visited a specific local restaurant, the Nids meals have been free. Now, using that to conclude that when next he visits the restaurant that the meals will be free is an example of inductive reasoning.

Read more about Reasoning at; https://brainly.com/question/860494

#SPJ1

I NEED HELP PLEASE. THANK YOU

I NEED HELP PLEASE. THANK YOU

Answers

Answer:

Given

Distributive property

Subtraction property of equality

Simplify

Subtraction property of equality

Simplify

Division property of equality

Simplify

Step-by-step explanation:

If you want an explanation I would be happy to provide you with one, but I do not want to have to explain the entire thing right here because it would be really long.

There are two hiking trails near Melanie's School. The total length is 11 miles and one trail is 5 miles longer than the other. Write a system of equations to model the situation. Solve the system of equations by elimination. Interpret the solution.

Answers

Answer:

3=x

Step-by-step explanation:

11=Total

x=length of one trail

(x+5)=length of other trail that's 5 miles longer than first trail

Combine:

11=x+(x+5)

Solve:

3=x

Declan has 100 songs on his mp3 player

Answers

Answer: he has 100

Step-by-step explanation:

100x =100000 so x is 100 so it should mean 100000xis 7

What is the constant of proportionality in the equation y=25X?

Answers

Answer:

Step-by-step explanation:

y = kx

If y = 25x , then k = 25

This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?

Answers

Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

what are3 rations equivalent to 8:5

Answers

Answer:

16:10

4:2.5

64:40

Step-by-step explanation:

hope this helps

PLEASE HELP!!!!!!!!!!!!!!!!!!!

PLEASE HELP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

bigger than

X>8

Step-by-step explanation:

since y is smaller than 0

for example y is -2

-2 add 10(X) is 8

X is bigger than X

works for any correct substitution where y is as in the question smaller than 0

Answer:

x<8

Step-by-step explanation:

If y>0 then y has to </= 1

8=x+y (substitute y for 1 and solve for x)

8=x+1 (subtract 1 on both sides)

7=x

Hope this helps!!

A famous painting was purchased for $490,000 in the year 2021. The value has been increasing at the rate of 4% per year. Calculate the value after 18 years.

Answers

Hello there. To solve this question, we'll have to remember some properties about growth.

Say the initial value P of a painting was increasing at a percentage rate r per year for t years. The final value of the painting after that amount of time will be given by the formula:

\(P_f=P_i\cdot(1+r)^t\)

In this case, the percentage must be converted to decimals, dividing it by 100, so in general you may have

\(P_f=P_i\cdot\left(1+\dfrac{r}{100}\right)^t\)

Okay. Now we can solve the question.

We know the initial value of the painting in the year 2021: $490.000

The value has been increasing at the rate of 4% per year. This means that r = 4% and we convert it to decimals in the formula.

We want to calculate its final price after 18 years, that is, when t = 18.

Okay, plugging the values in the formula, we'll get

\(\begin{gathered} P_f=490000\cdot\left(1+\dfrac{4}{100}\right)^{18} \\ \\ P_f=490000\cdot(1+0.04)^{18} \\ \\ P_f=490000\cdot1.04^{18} \end{gathered}\)

Using a calculator to find an approximation for the power, we'll get

\(P_f\approx490000\cdot2.026\)

Multiplying the values,

\(P_f\approx\$992.740\)

This is the approximate value of this painting in 18 years.

A plant is already 51 centimeters tall, and it will grow one centimeter every month. The plant's height,
centimeters), after m months is given by the following function.
H (m)=51+m
What is the plant's height after 36 months?
centimeters
X

Answers

Step-by-step explanation:

fufj5655 and I hope that you will be able to help me with the following to help me with the application for the role of the temple and many other people in the forest and a small village known as change in indirect speech to be the oldest

228÷19 in Standard form help please

22819 in Standard form help please

Answers

Here. Just click On the image and copy, your welcome I guess.

22819 in Standard form help please
228 divided by 19 is 12

A can contains 24 fluid ounces of fruit juice. How many pints of fruit juice does the can contain? HELP ASAP FREE BRAINLEST IF ANSWER CORRECTLY.I will be ur gf for a day if u answer this correctly

Answers

Answer:1.5 pints

Step-by-step explanation: I only want Brainliest and 5 star. Thank u

What is the distance from C to B


please help me

What is the distance from C to Bplease help me

Answers

The correct answer should be21

Arianna solved a fraction division problem using the rule “multiply by the reciprocal.” Her work is shown below. Two-thirds divided by StartFraction 4 Over 5 EndFraction. Two-thirds times StartFraction 4 Over 5 EndFraction = StartFraction 8 Over 15 EndFraction Which is the most accurate description of Arianna’s work? Arianna solved the problem correctly. Arianna multiplied the dividend by the divisor instead of finding the reciprocal. Arianna multiplied the denominators instead of finding a common denominator. Arianna multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Answers

Arianna solved a fraction division problem using the rule "multiply by the reciprocal." Her work is shown below. Two-thirds divided by StartFraction 4 Over 5 EndFraction. Two-thirds times StartFraction 4 Over 5 EndFraction = StartFraction 8 Over 15 EndFraction Which is the most accurate description of Arianna's work? Arianna solved the problem correctly. Arianna multiplied the dividend by the divisor instead of finding the reciprocal. Arianna multiplied the denominators instead of finding a common denominator. Arianna multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Answer

4.0/5

47

Arianna multiplied the dividend by the divisor instead of finding the reciprocal.

The fraction division problem Arianna solved is

Adrianna's next step is  

We are supposed to choose from the options the most accurate description of Arianna's work.

The mistake Arianna committed is that, she did not reciprocate the  before multiplying.

Therefore the correct answer is:

Arianna multiplied the dividend by the divisor instead of finding the reciprocal.

Answer: B Arianna multiplied the dividend by the divisor instead of finding the reciprocal.

Step-by-step explanation: every website i went on said B

Is the event independent or overlapping:
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
Mutually exclusive or independent:
A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5.
Mutually exclusive or overlapping:
A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that is is a milk chocolate or has no peanuts inside?
Mutually exclusive or independent:
You flip a coin and then roll a fair six sided die. What is the probability the coin lands on heads up and the die shows an even number?

Answers

Let's analyze each scenario:

1. A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?

In this case, the spinner's outcome of landing on region three is independent of landing on region six. Each spin is unrelated to the previous spin, and the outcome of one region does not affect the outcome of the other region. Therefore, the events are independent. The probability of landing on both region three and region six is the product of their individual probabilities: 1/8 * 1/8 = 1/64.

2. A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?

In this scenario, the events are overlapping. A jersey can be both purple and have a number greater than 5 at the same time. Therefore, the probability of it being purple or having a number greater than 5 is the sum of their individual probabilities, minus the probability of the overlapping event (purple jerseys with a number greater than 5). There are 4 purple jerseys out of 10 total jerseys, and there is 1 jersey with a number greater than 5 out of 10. However, there is one jersey that satisfies both conditions (purple and number greater than 5), so we need to subtract it from the sum. So the probability is (4/10 + 1/10) - (1/10) = 4/10 = 2/5.

3. A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?

In this scenario, the events are mutually exclusive. A chocolate cannot be both a milk chocolate and have no peanuts inside at the same time. Therefore, the probability of it being a milk chocolate or having no peanuts inside is the sum of their individual probabilities. There are 6 milk chocolates out of 10 total chocolates, and there are 7 chocolates without peanuts out of 10. So the probability is 6/10 + 7/10 = 13/10, which is greater than 1. However, probabilities cannot exceed 1, so we need to take the maximum value of 1. Therefore, the probability is 1.

4. You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?

In this case, the events are independent. The outcome of the coin flip does not affect the outcome of the die roll. The probability of the coin landing heads up is 1/2, and the probability of the die showing an even number is 1/2. To find the probability of both events occurring, we multiply their individual probabilities: 1/2 * 1/2 = 1/4.

I hope this clarifies the nature of each event. Let me know if you have any further questions!

The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

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

The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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

The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

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

The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

What is the equation of the line that passes through (-3, -1) and has a slope of 3/5?

(slope-intercept form)


A: y = 3/5x + 4/5

B: y = 3/5x - 4/5

C: y = -3/5x - 4/5

Answers

The equation of the line passing through (-3, -1) with slope 3/5 is y = (3/5)x + 4/5.

What is point slope form?

The equation of a line is expressed in the point-slope form as follows: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. When we know the slope of a line and a point on the line but not the intercepts, this version of the equation is helpful. It eliminates the need to independently compute the intercepts by allowing us to state the equation of the line in terms of the given point and slope.

Given that, line passes through (-3, -1) and has a slope of 3/5.

The points slope form is given as:

y - y1 = m(x - x1)

Substituting the values we have:

y - (-1) = (3/5)(x - (-3))

y + 1 = (3/5)x + 9/5

y = (3/5)x + 4/5

Therefore, the equation of the line passing through (-3, -1) with slope 3/5 is y = (3/5)x + 4/5.

Learn more about point slope form here:

https://brainly.com/question/28934380

#SPJ1

25.622 x 100=
(You will have to move the decimal point here)

Answers

Answer:

\( \boxed{25.622 \times 100 = 2562.2}\)

2562.2 is the right answer.

(move the decimal point 2 units towards the right)

a math class has studied the first 330 pages of their textbook. if this is 75% of the entire book, how many pages are in the book?

Answers

Answer:

440

Step-by-step explanation:

how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches

Answers

Answer:

560/9 or around 63 cubes

Step-by-step explanation:

2 2/3 -> 8/3

3 1/3 -> 10/3

2 1/3-> 7/3

7/3 x 8/3= 56/9

56/9 x 10/3 = 560/27

560/27 divided by 1/3

= 560/9

Work out the diffeence beteeen 77.5 and 2.27

Answers

77.5
- 2.27
______
75.37
75.37 if you need more help

2. The table shows the amount
spent on tomatoes at three different stands
at a farmer's market. Which stand sold their
tomatoes at the least
expensive price per
pound, and what is that price? Round to the
nearest cent, if necessary. (Lesson 1)
Stand
Weight (lb)
Cost ($)
A
3
4
2.00
B
mit - ab
3.45
с
14.85

Answers

Answer:

I think the answer might be b.

Step-by-step explanation:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. 5/7÷ 5/3​

Answers

Answer:

3/7

Step-by-step explanation:

So, we have to flip 5/3 to 3/5

Then we multiply.

5/7 ⋅ 3/5

15/35

Simplify.

3/7

Hope I helped :)

Please consider Brainliest :)

Other Questions
a community health nurse is working with a group of homeless veterans who have posttraumatic stress disorder. which of the following interventions should the nurse implement? Which of the following phrases defines the word "import"? A. to limit how much of a product can come from another country B. to send a product to another country to sell C. to purchase a product from another country D. to tax a product from another country Please select the best answer from the choices provided A B. C D Glycosylated molecules are formed with glycosylated molecules are formed with? carbohydrates. nucleic acids. cholesterol. dna. lysosomes. (4)The market for commodityXis described by thefollowing demand and supply curves:Qd.= 200 2PQs. = -100+ 3P(a)Find theequilibrium price and equilibrium quantity transacted in thismark HURRY I NEED HELPDoes the graph shown below represent Y as a linear function of xYes or No In a classic sociological study about crime reporting, Mark Fishman found that journalists were more likely to report crimes if ______. A toy company packs 20 marbles of varying sizes in containers. The function fcapacity required to hold 20 marbles with radius, 2 inchesf(x) = 40 (6+x) which ventricles are divided by the septum pellucidum? view available hint(s)for part a which ventricles are divided by the septum pellucidum? lateral ventricles lateral and third ventricle first and second ventricles third and fourth ventricles Compare the features of the classical economic model to the Keynesian economic model. How do these models influence the aggregate demand curve and the aggregate supply curve? Which model, in your opinion, benefits the economy in the long-run? n-6=2n-nPlease help Britney keeps track of the populations of various creatures near a lake. To estimate the dragonfly population, she captures 1,400 dragonflies and marks them with special paint. She releases them, waits a few days, and then captures 620 dragonflies. She notices that 62 of these dragonflies are marked. To the nearest whole number, what is the best estimate for the dragonfly population? Read the following excerpt and then complete the writing exercise.Based on your book selection and outside research, describe and analyze a current human rights issue. You will illustrate how this real-life issue affects people within the United States and one other country.In complete sentences, paraphrase the above prompt. British government 3.6% perpetuities pay 3.6 interest at the end of each year forever. Another bond, 2.1% perpetuities, pays 2.10 a year forever. a. What is the value of 3.6% perpetuities if the long-term interest rate is 5.6%? (Round your answer to 2 decimal places.) b. What is the value of 2.1% perpetuities? (Round your answer to 2 decimal places.) Which of the following best characterizes the French Revolution? A. Lengthy (it took almost two decades for the french to claim independence). B. Peaceful( the process was a smooth transfer of power from the monach to the people) C. Short ( after initially removing the monarch, the french installed a president that established stability at once) D. Violent (Mobs of french people won their independence through bloody upsprings) tiffany makes money by commission rates. She gets 21% of everything she sells. If tiffany sold $27000 worth of items this month, what is her salary for the month . Buddhism was first followed by:A. people who wanted a stricter caste system.B. poor people who wanted to become rich.C. people who questioned Hindu beliefs.D. military leaders who wanted to start wars. Redox Inc. uses a predetermined overhead allocation rate to allocate manufacturing overhead costs to jobs. The company recently completed Job no. 200. This job used 25 machine hours and 17 direct labor hours. The predetermined overhead allocation rate is calculated to be $28 per machine hour. What is the amount of manufacturing overhead allocated to Job no. 200 using machine hours as the allocation base? Find the derivative of the function using the definition of derivative. f(x) = 5x4 (1) Explain why satellites for earth observation missions are often orbit in polar orbit.(2) Describe the role of the "bus system" of an engineering satellite.(3) The internal structure of a satellite is composed of conductive materials such as aluminum alloy. Give the reason for this.(4) Explain the structure and characteristics of "honeycomb sandwich panels" often used in spacecraft and aircraft.(5) In space, the input/output of heat energy between an object and the outside (outer space) is performed only by "radiation". Explain the reason for this.(6) Explain how "earth albedo" is one of the heat inputs to a satellite in orbit.(7) Passive "heat sinks" and active "heat pipes" are two types of thermal control elements used in thermal control subsystems, but they are exactly the same in terms of heat transfer. Explain why they are differentiated. Yo ____________ el sendero para llegar al lago. (seguir)El Sr. T ______________ la pregunta dos veces (repetir)Yo _________________ en el dormitorio. (vestirse)Que' ______________ tu' en el restaurante? (pedir)El gato viejo ____________ el mes pasado. (morir)Mi madre __________________ comer una ensalada. (preferir)