Which pair of functions are inverses of eachother?

Which Pair Of Functions Are Inverses Of Eachother?

Answers

Answer 1

Answer:

D

Step-by-step explanation:

A.

y= 6x³

to find the inverse substitute x for y and y for x and solve for y

x= 6y³ ; divide both sides by 6

x/6 =y³ ; cube root both sides

(∛x)/ ∛6 = y

so  (∛x)/6  and 6x³ are NOT inverse of each other

B

y= (x+2)/5

x= (y+2)/5; multiply by 5

5x = y+2; subtract 2

y= 5x-2 NOT corect

C

y = 5x-6

x= 5y-6; add 6 to both sides

x+6 = 5y ; divided by 5 both sides

y = (x+6)/5 is NOT correct

D

y=7x -2

x= 7y-2

x+2 = 7y , (x+2) /7 = y so  IS correct


Related Questions

please help
Which expression represents 4/5t(-10t)?

(A)-8t

(B)46/5t

(C)46/5t^2

(D)-8t^2

Answers

Answer:

the best answer is option d

Step-by-step explanation:

4/5 x -10 = -40/5 = -8

t x t = t^2

-8t^2

Answer:

\( \sf \: d) \: - 8 {t}^{2} \)

Step-by-step explanation:

Given expression,

\( \sf \rightarrow \: \frac{4}{5}t \: ( - 10t )\)

Let's simplify the expression,

\( \sf \rightarrow \: \frac{4}{5} t \: ( - 10t) \: \)

\( \sf \rightarrow \: ( \frac{4}{5} \times - 10)( {t} \times t)\)

\( \sf \rightarrow \: ( \frac{ - 40}{ \: 5} )( {t}^{2} )\)

\( \sf \rightarrow \: - 8{t}^{2} \)

Hence, the option (d) is correct.

Adam was hiking a canyon and started 760 meters above sea level. He descended 300 meters per hour by switch backing across the canyon Let h = number

of hours to descend Write an equation that can be used to find after how many hours Adam will be 10 meters above sea level where the river is. After how

many hours will Adam be 10 meters above sea level?

(A) The equation 760 +

method

300h

| - 10

can be used to find after how many hours Adam will be 10 meters above sea level, which is an arithmetic solution

(B) After

hours Adam will be 10 meters above sea level.

Answers

Answer:

-300h 10 2.5

Step-by-step explanation:

juts did it

Answer:

Step-by-step explanation:

Adam was hiking a canyon and started 760 meters above sea level. He descended 300 meters per hour by

100 points! Mhanifa please help. Look at the picture attached. I will mark brainliest!

100 points! Mhanifa please help. Look at the picture attached. I will mark brainliest!
100 points! Mhanifa please help. Look at the picture attached. I will mark brainliest!

Answers

Answer: BC = 54  <kjm=44

Step-by-step explanation:

1st 0ne-

if you look at it as 2 triangles with D being the shared side- I can determine that the angles are congruent (by SSA theorem)

so

6x=9x-27  (by corresponding parts of congruent Theorem)

-3x=-27

x=9

BC- 9(9)-27= 81-27=54

2nd one-

J bisects KJM

4x+6=3x+10

x=4

3(4)+10= 22

4(4)+6= 22

KJM= 22+22= 44

Answer:

Step-by-step explanation:

BD is the perpendicular disector of isosceles triangle DAC

AB=BC

6x=9x-27

3x=27

x=9

BC=9x-27=54

For triangle JKL and JML,

KL=ML

JL=JL

JK=JM from properties of right-angled triangle

So triangle JKL and JML are congruent

<KJL = <MJL

4x+6=3x+10

x=4

<KJL=4*4+6=22

How many different ways are there to arrange the letters of the word MATH?

Answers

Answer:

More than 20. I'll be more precise. There are 24 ways.

Answer:

17

Step-by-step explanation:

Four different stores are having a sale on the same pair of shoes that cost $325. The signs below show the discounts available at each of the four stores. What is the price of one pair of shoes at each of the stores?

Answers

Answer:

I would need to see the signs to show each discount to figure this one out.  Can you add it?

Step-by-step explanation:

5. A right triangle has side lengths of
8 inches and 6 inches. What is the
length of the hypotenuse, in inches?

Answers

Answer:10

Step-by-step explanation:

A^2 + B^2 = C^2

8^2 + 6^2 = 100^2

take the square root since c is squared

sqrt 100 = 10

Answer:

Step-by-step explanation:

10

a helium filled balloon has a volume of 50.0 l at 25 and 1.08 atm what volume will it have at .855 atm and 10.0 c

Answers

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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What is the solution to the equation 4x-6= 10x-3?

Answers

X4ac56717(566)x=1069

PLS HELP !! I WILL MARK BRAINLIEST!!!

Question
.........
The number of bacteria in a Petri dish quadruples every hour. How many bacteria are in the dish after 5 hours if there were originally 10 bacteria?​

PLS HELP !! I WILL MARK BRAINLIEST!!!Question.........The number of bacteria in a Petri dish quadruples

Answers

The correct answer is 10,240.
I think the answer is 10,240

a coin is flipped eight times. each result is either a heads or a tails. how many possible outcomes contain at least 33 tails ?

Answers

The possible outcomes must contain at least three tails, not 33 because a coin is flipped eight times. Then, the possible outcomes that contain at least three tails are 219.

The possible outcome is the possible result of an event. The possible outcomes that contain at least three tails mean the possible outcomes with exactly three tails and more than three. So, the calculation is:

\(\frac{8!}{3!5!} + \frac{8!}{4!4!} + \frac{8!}{5!3!} + \frac{8!}{6!2!} + \frac{8!}{7!1!} + \frac{8!}{8!0!}\)56 + 70 + 56 + 28 + 8 + 1= 219

Hence, the possible outcomes that contain at least three tails are 219.

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70 pupils in a sports centre are surveyed. The pupils can only use the swimming pool and the gym. 28 pupils use the swimming pool and the gym. 48 pupils use the swimming pool. 39 pupils use the gym. Find the probability to select a pupil that uses neither the swimming pool nor the gym.

Answers

The probability that a pupil uses neither pool nor gym is 11/70

What is Probability?

Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6.

Number of pupil that can use pool and gym = 28

Number of people that can use pool = 48

Number of people that can use gym = 39

Number of people that can use pool only = 48 - 28 which is 20

Number of people that can use gym only = 39 - 28 = 11

Total number of persons that can use either pool, gym or both = 20 + 11 + 28 which is 59

Number of people that cannot use either or both of the facilities = 70 - 59 which is 11.

Probability = required outcome / possible outcome

Required outcome = 11

possible outcome = 70

Probability = 11/70

In conclusion, the probability that a pupil uses neither swimming pool nor gym is 11/70

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8. Graph the following equation: y = x2 + 4x - 5

8. Graph the following equation: y = x2 + 4x - 5

Answers

Answer:

Given: y = x2 + 4x – 5

Find the following

y-intercept

x-intercepts or the zeros of the functions or roots

graph of the function, given vertex is at (-2, -9)

Solve the system of linear equations      – x + 6y = 8        2x + 5y = 3

Write the names of curves, given their equations:  

x2/16 + y2/9 = 1

3y = 2x + 5

(x - 5)2 + (y + 6)2 = 25

x2/16 – y2/25 = 1

y = 2x2 + 10x + 25

Write down the first five terms of the arithmetic progression with the first term 8 and common difference 7, then find the 17th

Write down the first five terms of the geometric progression with the first term 3 and common ratio 2, then find the 17th

8. Graph the following equation: y = x2 + 4x - 5

Try one on your own! Find the midpoint of
ST.
y
S(-3,2) 3-
x
o
3.
BAT (1, -4)

Answers

I don’t really know BAT ST Y S(

O 8) Translate the point and give the resulting coordinates.
(-9,6); (5,-2)

Answers

Answer:

- 4/7

Step-by-step explanation:

The resulting point is 5 units right and 2 units down, and the resulting coordinates are (- 4, 4).

Used the concept of coordinate that states,

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The coordinate is (- 9, 6) and (5, - 2).

Now the value of the resulting coordinate is found as,

(- 9 + 5, 6 - 2)

= (- 4, 4)

Therefore, the resulting point is 5 units right and 2 units down, and the resulting coordinates are (- 4, 4).

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most welsh corgis have shoulder heights between 25 and 30 centimeters. the following compound inequality relates the estimated shoulder height (in centimeters) of a dog to the internal dimension of the skull d (in cubic centimeters):

Answers

For most Welsh Corgis: 25 ≤ shoulder height (cm) ≤ 30, while the internal skull dimension (d) is unrelated.

The compound inequality relating the estimated shoulder height of a dog to the internal dimension of the skull can be expressed as:

25 ≤ d ≤ 30

In this context, most Welsh Corgis have shoulder heights falling within the range of 25 to 30 centimeters. The internal dimension of the skull, represented by "d" in cubic centimeters, is not directly related to the shoulder height but is likely included in the discussion for reference or comparison purposes. The compound inequality signifies that the internal dimension of the skull should fall within the range of 25 to 30 cubic centimeters.

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On Friday, there were 8 snowboarders for every 3 skiers at a local ski resort. On Saturday, the ratio of the number of snowboarders to the number of skiers was 4:7. There were 168 snowboarders at the ski resort on Friday. There were the same number of people at the ski resort on Saturday as there were on Friday.

How many more skiers were there than snowboarders at the ski resort on Saturday?

Answers

Answer:

I had 61.09090909 repeating as a answer, you can round it, but if you divide 168 by 11 because that is the total amount of people then that gives a decimal place and that doesn't make sense. But I may be right. So best of luck. If I get you wrong then I am truly sorry

Step-by-step explanation:

use the graph shown to complete the following sentence. when x = -3, then y = ___.

use the graph shown to complete the following sentence. when x = -3, then y = ___.

Answers

Answer:

y = -6

Step-by-step explanation:

We are trying to find the y-value when x = -3.

We see from our graph and linear equation that when x = -3, y = -6.

Therefore, our answer is -6.

please answer i need to do my hw

please answer i need to do my hw

Answers

The volume of the sphere is given by the formula V = (4/3)*pi*R³, and in this case the volume is V = 3,052.08 yd³

How to get the volume of the sphere?

The volume of a sphere of radius R is given by the formula below:

V = (4/3)*pi*R³

Where pi = 3.14

Here we can see that the radius is 9yd, then the volume of that sphere will be:

V = (4/3)*3.14*(9yd)³

V = 3,052.08 yd³

Sothe volume of the sphere is 3,052.08  cubic yards.

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which theory would best provide perspective on the question 'if i study for 12 hours, what is the probability that i'll get an a on the exam?'

Answers

Expectancy theory would best provide perspective on the question 'if i study for 12 hours, what is the probability that i'll get an on the exam?".

Understanding Expectancy Theory

 Expectancy theory (expectancy theory of motivation) was put forward by Victor Vroom in 1964. Vroom put more emphasis on outcome factors, rather than needs as proposed by Maslow and Herzberg.

This theory states that the intensity of the tendency to perform in a certain way depends on the intensity of the expectation that performance will be followed by a definite outcome and on the attractiveness of the result to the individual.

Vroom argues that people will be motivated to do certain things to achieve goals if they believe that their actions will lead to the achievement of these goals.

There are three main assumptions of Vroom in expectancy theory.  These assumptions are as follows:

-Every individual believes that if he behaves in a certain way, he will get certain things.  This is called an outcome expectancy as a person's subjective assessment of the likelihood that a certain outcome will arise from that person's actions.

-Each outcome has value, or appeal to a particular person.  This is called valence (valence) as the value that people give to an expected result.

-Each outcome is associated with a perception of how difficult it is to achieve that outcome.  This is called effort expectancy as the possibility that one's efforts will result in the attainment of a certain goal.

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This was an exceptionally dry year for portions of the southwestern United States. Monthly precipitation in Phoenix, Arizona, was recorded in the table and is modeled by y = –0.04088x2 + 0.4485x + 1.862. In what month did Phoenix receive the lowest amount of precipitation? Month (x) Precipitation January 2.27 inches February ? March ? April ? May ? June ? July ? August ? September 2.59 inches October ? November ? December ? Sketch a graph or fill in the table to answer the question. January February November December

Answers

the lowest amount of precipitation occurred in February, with a value of approximately 2.32 inches.

Why it is and how to form a graph?

To find the month with the lowest amount of precipitation, we need to find the minimum value of the quadratic equation y = –0.04088x²2 + 0.4485x + 1.862.

Using calculus, we can find the minimum point of the quadratic function by taking its derivative and setting it equal to zero:

y' = -0.08176x + 0.4485

0 = -0.08176x + 0.4485

x = 5.484

This means that the minimum value of the function occurs at x = 5.484. Since x represents the month number (with January being 1), we can conclude that the month with the lowest amount of precipitation is February (the second month in the table).

To verify this, we can plug in x = 2 into the quadratic equation:

y = –0.04088(2)²2 + 0.4485(2) + 1.862

y = 2.31752

Therefore, the lowest amount of precipitation occurred in February, with a value of approximately 2.32 inches.

To graph the function, we can plot the points given in the table and connect them with a smooth curve. Here is a completed table with the missing values:

Month (x) Precipitation

January 1 2.27 inches

February 2 2.32 inches

March 3 2.57 inches

April 4 2.94 inches

May 5 3.43 inches

June 6 3.94 inches

July 7 2.72 inches

August 8 2.86 inches

September 9 2.59 inches

October 10 2.03 inches

November 11 1.46 inches

December 12 1.03 inches

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Answer:

D: December

The given model for precipitation in Phoenix, Arizona is y = –0.04088x2 + 0.4485x + 1.862, where x is the month number (1 for January, 2 for February, and so on) and y is the precipitation in inches. We can use this model to fill in the missing values in the table:

| Month (x) | Precipitation |

|-----------|---------------|

| January   | 2.27 inches   |

| February  | 2.27 inches   |

| March     | 2.24 inches   |

| April     | 2.18 inches   |

| May       | 2.09 inches   |

| June      | 1.98 inches   |

| July      | 1.84 inches   |

| August    | 1.68 inches   |

| September | 2.59 inches   |

| October   | 1.50 inches   |

| November  | 1.30 inches   |

| December  | 1.08 inches   |

According to the table, Phoenix received the lowest amount of precipitation in **December** with **1.08 inches** of precipitation, so the correct answer is **D. December**.

Someone plz help me :(

Someone plz help me :(

Answers

Answer:

A) 24 square meters

Step-by-step explanation:

SA=6s²

SA=6*(2)²

SA=6*4

SA=24

SA

Kamala is reading about her favorite superhero, Captain Marvel. She would like to read at least 235 pages in one week. She has already read 25 pages. How many pages does Kamala need to read each day?

Kamala is reading about her favorite superhero, Captain Marvel. She would like to read at least 235 pages

Answers

The number of pages that Kamala needs to reach each day is p ≥ 30.

What is the number of pages that Kamala needs to read?

Here are inequality signs and what they mean:

> means greater than< means less than≥ means greater than or equal to ≤ less than or equal to

The inequality sign that would be used is ≥. This is because the pages Kamala needs to read each day  can be equal to 235 or greater than 235

25 + 7p ≥ 235

Combine similar terms: 7p ≥ 235 - 25

Add similar terms:  7p ≥ 210

Divide both sides of the equation by 7: p ≥ 210 / 7

p ≥ 30

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Kevin has x dollars in an account that pays 2.2% interest, compounds quarterly. Express his balance after one quarter algebraically

Answers

Balance of Kevin after 1 quarter will be 1.0055(x)

What is quarterly compounded compound interest?

Compound interest is interest that is calculated using both the starting amount and the interest that has accrued over time.

Interest is considered to be compounded quarterly if it is compounded four times each year.

If interest is compounded four times or quarterly each year, the formula for the amount at time t is as follows.

A = P( ( 1 + (r/4))⁴ⁿ

A = Accumulated amount

P= Principal amount

r = interest rate

n = time

Given that Kevin has x dollars in an account that pays 2.2% interest, compounds quarterly

∴ P = x

r = 2.2% = 2.2/100

To find balance after one quarter , i.e. time n = 1/4 year

⇒ Balance = accumulated amount  =$  x(1 + 2.2/400)¹  = $ 1.0055(x)

Therefore, Balance of Kevin after 1 quarter will be 1.0055(x)

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Write the converse of the following statement.
if it stops raining, then I will go to the pork.

Answers

Answer:

If i go to the park then it will stop raining

Step-by-step explanation:

I think

hope this help have a good night

A small business owner estimates his mean daily profit as with a standard deviation of. His shop is open days a year. What is the probability that his annual profit will exceed ? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places

Answers

The probability that the small business owner's annual profit will not exceed $100,000 is about 0.0571

We can use the central limit theorem to approximate the distribution of the annual profit. The central limit theorem states that the sum of a large number of independent and identically distributed random variables will be approximately normally distributed.

Let X be the daily profit, then the annual profit, Y, is given by Y = 105X. The mean of Y is:

μY = 105μX = 105(975) = 102375

The variance of Y is:

σY^2 = 105σX^2 = 105(129)^2 = 2244385

The standard deviation of Y is:

σY = sqrt(2244385) ≈ 1498.12

We want to find the probability that the annual profit will not exceed $100,000, which is equivalent to finding the probability that Y ≤ 100000. We can standardize Y using the formula:

Z = (Y - μY) / σY

Substituting the values, we get:

Z = (100000 - 102375) / 1498.12 ≈ -1.58

We can use a standard normal distribution table or calculator to find the probability that Z ≤ -1.58. This probability is approximately 0.0571.

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The given question is incomplete, the complete question is:

A small business owner estimates his mean daily profit as $975 with a standard deviation of $129. His shop is open 105 days a year. What is the probability that his annual profit will not exceed $100,000?

You want to buy a shirt. The original price was $27, and the sale
says 25% off. How much will pay for the shirt?

Answers

Answer:

Easy, to solve this you first must find what is 25% of 27 is, you could do to ways, one make it as a fraction like 27/100=25 and when you multiply that you get 675 and since you have a denominator of 100 move two decimals to the left which is 6.75 and subtract that from 27 which is 20.25

Step-by-step explanation:

Please solve RIGHT i will give brainleist

Please solve RIGHT i will give brainleist

Answers

Answer:

I can solve but I can't see clearly your questions...

If an 80 confidence interval and a 90 confidence interval are constructed from the same sample data, the 80 confidence interval will be___________________ the 90 confidence interval.

Answers

The 80% confidence interval will be narrower than the 90% confidence interval when constructed from the same sample data.

If an 80% confidence interval and a 90% confidence interval are constructed from the same sample data, the 80% confidence interval will be narrower than the 90% confidence interval.

To understand why this is the case, we need to know that a confidence interval is a range of values within which we estimate the true population parameter lies. The level of confidence associated with the interval represents the probability that the true parameter falls within that range.

In this scenario, an 80% confidence interval means that there is an 80% probability that the true parameter lies within the interval. On the other hand, a 90% confidence interval means that there is a 90% probability that the true parameter falls within the interval.

To construct a narrower interval, we need to have a higher level of confidence. As the confidence level increases, the range of possible values also widens to accommodate the higher probability. Therefore, the 80% confidence interval will be narrower than the 90% confidence interval.

In conclusion, the 80% confidence interval will be narrower than the 90% confidence interval when constructed from the same sample data.

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9. To find 5 x 19 x 2, Newton
multiplies 5 and 2. Then he
multiplies that product by 19.
Which property does he use?

Answers

Associative Property

The Venn diagram below contains the whole numbers 1-16. Whole Numbers 1-16 A Odd Numbers Numbers divisible by 3 13.5 3,9,153,6,9,15
Which of the following lists names the numbers that would be located in section A?
F. 1, 3, 6, 9, 12, 15
G. 3, 6, 9, 12, 15
H. 3,9, 12
J. 3, 9, 15

The Venn diagram below contains the whole numbers 1-16. Whole Numbers 1-16 A Odd Numbers Numbers divisible

Answers

Step-by-step explanation:

In this section we introduce the ideas of sets and Venn diagrams. A set is a list of objects in no particular order; they could be numbers, letters or even words. A Venn diagram is a way of representing sets visually.

To explain, we will start with an example where we use whole numbers from 1 to 10.

We will define two sets taken from this group of numbers:

Set A = the odd numbers in the group = { 1 , 3 , 5 , 7 , 9 }

Set B = the numbers which are 6 or more in the group = { 6 , 7 , 8 , 9 , 10 }

Some numbers from our original group appear in both of these sets. Some only appear in one of the sets.

Some of the original numbers don't appear in either of the two sets. We can represent these facts using a Venn diagram.

The two large circles represent the two sets.

The numbers which appear in both sets are 7 and 9. These will go in the central section, because this is part of both circles.

The numbers 1, 3 and 5 still need to be put in Set A, but not in Set B, so these go in the left section of the diagram.

Similarly, the numbers 6, 8 and 10 are in Set B, but not in Set A, so will go in the right section of the diagram.

The numbers 2 and 4 are not in either set, so will go outside the two circles.

The final Venn diagram looks like this:

We can see that all ten original numbers appear in the diagram.

The numbers in the left circle are Set A

{ 1 , 3 , 5 , 7 , 9 }

The numbers in the right circle are Set B

{ 6 , 7 , 8 , 9 , 10 }

In the rest of this section you will practise filling in Venn diagrams and using them.

The intersection of sets A and B is those elements which are in set A and set B. A diagram showing the intersection of A and B is on the left.

The union of sets A and B is those elements which are in set A or set B or both. A diagram showing the union of A and B is on the right.

Other Questions
Bacteria colonies can increase by 45% every week. Ifyou start with 200 bacteria microorganisms, howlarge would the colony be after 35 days?Lastly, solve and round to the nearest whole number.Future Amount = 200(1+0.45)5Future Amount = [?] microorganismsEnter Rewards can be redeemed when using the app in the restaurant, as well as when placing a mobile order in the Freddy's Rewards App True False The two possible units of molarity are short-term eating control primarily involves ________; long-term regulation of body fat primarily involves ________. glucose; glucose leptin; leptin leptin; glucose glucose; leptin 9. Prove whether or not the following series converge using series tests. sto 1 k3 + 2k + 1 k=1 bro Ille Physical or Chemical Change? Burning leaves Discuss the role of modern technology in controllimg the damages during the natural and artificial disasters. find a particular solution to the nonhomogeneous differential equation y 4y 5y=15x 3ex. Up arrows are used to indicate processes that cycle carbon into the atmosphere and down arrows are used to indicate processes that cycle carbon out of the atmosphere. Drag each item to the correct location to model the flow of carbon into and out of the atmosphere. Some choices may be used more than once or not at all.burning fossil fuels, photosynthesis, respiration, equilibrium with the ocean, limestone formation Draw a model of 1/3 2 show a pic of the math model you get brainliest to.. Given \(\triangle JKL\ :\ \triangle XYZ\), find the scale factor. Write an equation of a line in slope-intercept form with the given slope and y-intercept.slope: -2.5, y-intercept: 3.5 Which statement about mass and weight is correct?A:"Mass" is the scientific term for 'weight."B:Weight directly measures force while mass directly measures amount of matter.C:Weight has units of kilograms or grams. Mass has units of Newtons.D:The mass of an object depends on the size of the object. The weight of an object does not depend on the size of the object. 3. (30 %) Find an equation of the tangent line to the curve at the given point. (a) x = 2 cot 0 , y = 2sin0,(-73) (b) r = 3 sin 20, at the pole The table below shows cost and revenue information for Choco Lovers, a perfectly competitive firm producing different quantities of chocolate gift boxes.Fill in the blanks in the tableInstructions: Round your answers to 2 decimal places.Choco Lovers Costs and RevenueQuantity of Gift Boxes TC ($) ATC ($) MC ($)5 55.00 11.00 1.0010 57.50 5.75 ____15 ____ 4.17 1.0020 72.50 ____ 2.0025 92.50 3.70 4.0030 122.50 4.08 6.00Instructions: Enter your answers below as whole numbers. For profit and profit per unit, round your answers to 2 decimal places. Include a negative sign if necessary.Profit maximizing price = $4Profit-maximizing quantity = $____Total revenue = $____Profit = $____Profit per unit = $____ One way in which the travels of Marco Polo and Ibn Battuta are similar is that each The number 0 is a solution to which of the following inequalities? Select all that apply. x 5 -3 x/-2 0 x + 11 > 12 4x < 0 2. Which evidence bestsupports the idea thatcitizens can only be triedonce for a capital crime?O ... and no Warrants shall issue, but upon probable cause,supported by Oath or affirmation ..." (paragraph 5)O nor shall any person be subject for the same offenceto be twice put in jeopardy of life or limb..." (paragraph 6)O "In all criminal prosecutions, the accused shall enjoy theright to a speedy and public trial, by an impartial jury ofthe State and district wherein the crime shall have beencommitted ..." (paragraph 7)O "... the right of trial by jury shall be preserved, and no facttried by a jury, shall be otherwise re-examined in anyCourt of the United States, than according to the rules ofthe common law." (paragraph 8) sale 10%off if a fluet has a sale price of $873, what was the original price? French Homework Help