need help with this choices:x coordinatey coordinatey axisx axis not equal toequal toinput output

Need Help With This Choices:x Coordinatey Coordinatey Axisx Axis Not Equal Toequal Toinput Output

Answers

Answer 1

First, let's remember that the zeros of a function are the points where the graph intersects the x-axis, that is, those points where an x-coordinate intersects the x-axis since its output is y=0.

Therefore, the following paragraph should be filled in as follows:

You find a zero of a linear function from a graph identifying the x coordinate of any point of intersection with the x-axis, from an equation by setting the output equal to 0, and from a table by identifying the input values when the output is 0.


Related Questions

Sara wants to borrow money from her mother, and she is offered a five-year, simple interest loan of $7,000, with a 3% annual interest rate. What is Sara’s total repayment amount?

a.
1050

Answers

Answer: 1050 is the answer trust me i took the quiz and it was correct pls give me brainliest and friend request me ur welcome :)

Step-by-step explanation:

evaluate the expression 2(8-4)^2-10÷2
option 1 11
option 2 27
option 3 56
option 4 59
please help quick
I have a time limit ​

Answers

[tex] = 2(4)^{2} - (10 \div 2) \\ = 2(16) - 5 \\ = 32 - 5 \\ = 27[/tex]

THE ANSWER IS OPTION 2. 27

HOPE THIS HELPS

Answer:

Answer is 27                  

    ♬      

                     

               

⚫    

 

Overnight the price of gasoline increased by 15% to settle at a price of $4.90 per gallon. What was the price before the 15% increase?

Answers

The price of gasoline before the 15% increase is $4.75/gallon.

What is gasoline?
Petroleum-derived clear flammable liquid known as gasoline or petrol is the primary fuel for the majority of spark-ignited internal combustion engines (also known as petrol engines). It mostly comprises of organic compounds made from petroleum fractional distillation that have been improved with various additions. In the United States, refineries typically create 19 to 20 gallons of gasoline, 11 to 13 gallons of distillate fuel, the majority of which is sold as diesel fuel, and 3 to 4 gallons of jet fuel from a barrel of crude oil. The crude oil test and oil refinery processing determine the product ratio. 42 US gallons, or around 159 litres or 35 imperial gallons, is the standard measurement for the volume of an oil barrel.

How can we calculate the price before the 15% increase?

Overnight the price of gasoline increased by 15% to settle at a price of $4.90 per gallon.

15÷100+x = $4.90/gallon

0.15+x = $4.90/gallon

Therefore, x = $4.90/ gallon - 15÷100

 x = $4.90/gallon - 0.15

x = $4.75/gallon.



Hence , the price of gasoline before the 15% increase is $4.75/gallon.
To learn more gasoline
https://brainly.com/question/11278661
#SPJ10

Eva counts up. by 3s, while Jin counts up by 5s. What is the least
number that they both say?

Answers

Answer:  15

Explanation:

This is the LCM (lowest common multiple) of 3 and 5

3*5 = 15

Eva: 3, 6, 9, 12, 15, 18, 21, ...

Jin: 5, 10, 15, 20, 25, ...

9. Rosie's Bakery just purchased an oven for $1,970. The owner expects the oven to last for 10years with a constant depreciation each year. It can then be sold as scrap for an estimatedsalvage value of $270 after 10 years. (20 points)a) Find a linear equation modeling the value of the oven, y, after x years of use.b) Find the value of the oven after 2.5 years.c) Find the y-intercept. Explain the meaning of the y-intercept in the context of this problem.d) Graph the equation of the line. Be sure to label the axes.

Answers

a)

The oven devaluated from $1970 to $270 in 10 years.

Since each year it looses the same value, divide the change in the price over the time interval to find the rate of change of the value with respect to time.

To find the change in price, substract the initial price from the final price:

[tex]270-1970=-1700[/tex]

The change in price was -$1700.

Divide -1700 over 10 to find the change in the price per year:

[tex]-\frac{1700}{10}=-170[/tex]

The initial value of the oven was $1970, and each year it looses a value of $170.

Then, after x years, the value will be equal to 1970-170x.

Then, the linear equation that models the value of the oven, y, after x years of use, is:

[tex]y=-170x+1970[/tex]

b)

To find the value of the oven after 2.5 years, substitute x=2.5:

[tex]\begin{gathered} y_{2.5}=-170(2.5)+1970 \\ =-425+1970 \\ =1545 \end{gathered}[/tex]

Then, the value of the oven after 2.5 years is $1545.

c)

To find the y-intercept, substitute x=0:

[tex]\begin{gathered} y_0=-170(0)+1970 \\ =1970 \end{gathered}[/tex]

The y-intercept is the initial value of the oven when 0 years have passed.

d)

Suppose you have a monthly entertainment budget that you use to rent movies and purchase cds. You currently use your income to rent 5 movies per month at a cost of 5.00 per movie and to purchase 5 cds per month at a cost of 10 per cd. Your marginal utility from the fifth movie is 30 and your marginal utility from the fifth cd is 70

Answers

Total utility of movies and cds will be $160

What is Budget?

A spending plan based on income and costs is called a budget. In other words, it's a projection of your income and expenses for a specific time frame, like a month or a year. (Or, if you're keeping track of the money coming in and going out of your home as a whole, that's a family budget.)

The cost of 1 movie = $5

The cost of 1 CDS    = $10

The marginal utility from fifth movie = 30

The marginal utility from fifth CDS = 70

Total cost spent in month for movies = 5+5+5+5+30

                                                             = $50

Total cost spent in month for CDS = 10+10+10+10+70

                                                         = $110

The total monthly entertainment budget will be

                                               = 50 + 110

                                               = $160

Hence, The total monthly entertainment budget is $160

To learn more about Budget click on the link

https://brainly.com/question/6663636

#SPJ9

A water tank initially contained 56 liters of water. It is being drained at a constant rate of 2.5 liters per minute. How many liters of water are in the tank after 9 minutes?

Answers

33.5 liters of water are in the tank after 9 minutes.

At a dinner party, every 3 guests were served a dish of rice to share, every 4 guests were served a dish of greenbeans and every 2 guests were served a dish of meat. There were 17 dishes in all. How many guests were in attendance?"

Answers

The number of guests that were at the party is 16.

How many guests were at the party?

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 1/2. 1 is the numerator and 2 is the denominator.

The equation that would be formed from the available information in this question is:

[tex]\frac{x}{3} + \frac{x}{4} + \frac{x}{2} = 17[/tex]

Where x represents the number of guests that are in the party.

[tex]\frac{x}{3} + \frac{x}{4} + \frac{x}{2} = 17[/tex]

Add the fractions:

[tex]\frac{3x + 4x + 6x}{12}[/tex] = 17

[tex]\frac{13x}{12}[/tex] = 17

Multiply both sides of the equation by 12

13x = 12 x 17

13x = 204

Divide both sides of the equation by 13

x = 204 / 13

x  = 15.7 ≈ 16

To learn more about fractions, please check: https://brainly.com/question/1114498

#SPJ1

Use the appropriate form of the percentages formula. What percent of 10 is 2?

Answers

To determine a percentage we can use the following formula:

[tex]\frac{part}{whole}\cdot100\%[/tex]

In this case the part is equal to two, the whole is equal to 10, then we have:

[tex]\frac{2}{10}*100\%=20\%[/tex]

Therefore, 2 is 20% of 10

Simplify the expression √112x10y13. Show your work. pls help

Answers

Answer: [tex]4x^{5} y^{6} \sqrt{7y}[/tex]

Step-by-step explanation:

1) Separate the radicals

sqrt(112x^10y^13) = sqrt(112)*sqrt(x^10)*sqrt(y^13)

2) For sqrt(112), rewrite it as the product of a perfect square and some other number.

sqrt(112) = sqrt(16) * sqrt(7)

= 4*sqrt(7)

3) For sqrt(x^10), rewrite it in terms of it being raised to a fraction

[tex]\sqrt[n]{x} = x^{\frac{1}{n} }[/tex]

n = 2, so x^(10/2), and when simplified you have x^5

4) For sqrt(y^13), do the same thing.

y^(13/2) = sqrt(y)*(y^6)

5)Combine everything

4x^5y^6sqrt(7y)

NO LINKS!! Describe the domain and range (in BOTH interval and inequality notation) for each function shown. ​

Answers

Answers:

Domain as an inequality:  [tex]\boldsymbol{-\infty < \text{x} < \infty}[/tex]

Domain in interval notation:  [tex]\boldsymbol{(-\infty , \infty)}[/tex]

Range as an inequality:  [tex]\boldsymbol{-3 \le \text{y} \le 3}[/tex]

Range in interval notation:  [-3, 3]

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

Explanation:

The domain is the set of allowed x inputs. This graph goes on forever in both directions, so we can plug in any real number for x. There are no restrictions to worry about.

As an inequality, we write [tex]-\infty < \text{x} < \infty[/tex] to basically say "x is between negative infinity and infinity". In other words, x is anything on the real number line.

That inequality condenses into the interval notation of [tex](-\infty , \infty)[/tex]

Always use curved parenthesis for either infinity, because we can't ever reach infinity. It's not a number on the number line but rather a concept.

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

Now onto the range.

Recall the range is the set of possible y outputs. We look at the lowest and highest points (aka min and max) to determine the boundaries for the range.

In this case, the smallest y can get is y = -3

The largest it can get is y = 3

The range is any value of y such that [tex]-3 \le \text{y} \le 3[/tex] which in word form is "any value between -3 and 3, inclusive of both endpoints".

That inequality condenses to the interval notation [-3, 3]

We use square brackets to include the endpoints as part of the range.

Answer:

[tex]\textsf{Domain}: \quad (-\infty, \infty) \quad -\infty < x < \infty[/tex]

[tex]\textsf{Range}: \quad [-3,3] \quad -3\leq y\leq 3[/tex]

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values).

The range of a function is the set of all possible output values (y-values).

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.[ or ] : Use square brackets to indicate that the endpoint is included.

Inequality notation

< means "less than".> means "more than".≤ means "less than or equal to".≥ means "more than or equal to".

From inspection of the given graph, the function is continuous and so the domain is not restricted.

Therefore, the domain of the function is:

Interval notation:  (-∞, ∞)Inequality notation: -∞ < x < ∞

From inspection of the given graph, the minimum value of y is -3 and the maximum value of y is 3.  Both values are included in the range.

Therefore, the range of the function is:

Interval notation:  [-3, 3]Inequality notation: -3 ≤ y ≤ 3

Given g(x) = -2√x², find g(8 + x).

Answers

Answer:

g(8 + x) = - 2(8 + x)

Step-by-step explanation:

substitute x = 8 + x into g(x)

g(8 + x) = - 2[tex]\sqrt{(8+x)^2}[/tex] = - 2(8 + x)

Aldo will take the 11:49 train to San Diego. The train is estimated to arrive in 4 hours and 32 minutes. What is the estimated arrival time?

Answers

Kevonta, this is the solution:

Time of departure : 11:49

Time of travel : 4:32

In consequence, the estimated arrival time if the train departs in the morning is:

11 + 4 = 15 hours

49 + 32 = 81 minutes

81 minutes = 1 hour + 21 minutes

4:21 pm

If the train departs at night, the estimated time of arrival is:

4:21 am

i want to ask a question

Answers

We got to use the Secant-Tangent Theorem, here. It says that AC² is equal to the distance BC times the distance from C to the circumference. Let's denote the point in OC where it intercepts the circumference by D, so:

[tex]\begin{gathered} AC^2=CD\cdot BC \\ 20^2=CD\cdot BC \end{gathered}[/tex]

Beucase the radius is equal in all points of the circumference, OA=OB=OD, so BC = OA + OC, and CD = OC - OA. So,

[tex]\begin{gathered} 20^2=CD\cdot BC=(OC-OA)\cdot(OA+OC)=OC^2-OA^2=OC^2-8^2 \\ 20^2=OC^2-8^2 \\ OC^2=20^2+8^2=464 \\ OC=\sqrt[]{464}=21.54\approx22\operatorname{cm} \end{gathered}[/tex]

22. After an article is discounted at 25%, it sells for $112.50. The original price of the article was:
A. $28.12
B. $84.37
C. $150.00
D. $152.00

Answers

Answer:

the answer is C

Step-by-step explanation:

25% of 150 is 37.5 so 150-37.5 is 112.5

3.50 : 1.50 ratio as a fraction

Answers

Answer:

  7/3

Step-by-step explanation:

You want the ratio 3.50 : 1.50 written as a fraction.

Ratio

A ratio can be written 3 ways. Any of them can be reduced to a ratio of mutually prime integers:

  3.50 : 1.50 = 3.50/1.50 = 3.50 to 1.50

Here, the fraction can be made to be a ratio of integers by multiplying both numerator and denominator by 2:

  3.50/1.50 = (2·3.50)/(2·1.50) = 7/3

The ratio 3.50:1.50 is equivalent to the fraction 7/3.

A police car traveling south toward Sioux Falls, Iowa, at 160km/h pursues a truck east away from Sioux Falls at 140 km/h. At time t=0, the police car is 60km north and the truck is 50km east of Sioux Falls. Calculate the rate at which the distance between the vehicles is changing at t=10 minutes, (Use decimal notation. Give your answer to three decimal places)

Answers

The rate of change of the distance between the police car and the truck after 10 minutes is approximately 193.66 m/s

What is a rate of change of a function?

The rate of change of a function is the rate at which the output of the function is changing with regards to the input.

The velocity of the police car = 160 km/h south

The velocity of the truck = 140 km/h east

Distance of the police car from Sioux Falls = 60 km north

Distance of the truck from Sioux Falls = 50 km east

Required;

The rate at which the distance between the vehicles is changing at t = 10 minutes

Solution;

Let d represent the distance between the vehicles, we have;

d² = x² + y²

Where;

x = The distance of the truck from Sioux falls

y = The distance of the police car from Sioux Falls

Which gives;

[tex] \displaystyle{ \frac{d}{dt} d^2= \frac{d}{dt}(x^{2}) +\frac{d}{dt} (y^{2}) }[/tex]

Which gives;

[tex] \displaystyle{ 2 \cdot d \cdot \frac{d}{dt} d=2 \cdot x \cdot \frac{dx}{dt} + 2 \cdot y \cdot\frac{dy}{dt} }[/tex]

After 10 minutes, we have;

y = 60 - (10/60)×160 = 100/3

x = 50 + (10/60)×140 = 220/3

d = √((100/3)² + (220/3)²) = 20•(√146)/3

[tex] \displaystyle{ \frac{d}{dt} d=\frac{2 \cdot x \cdot \frac{dx}{dt} + 2 \cdot y \cdot\frac{dy}{dt} }{2 \cdot d }}[/tex]

Which gives;

[tex] \displaystyle{ \frac{d}{dt} d= \frac{2 \times \frac{220}{3} \times 140 + 2 \times \frac{100}{3} \times 160}{2 \times \frac{20 \times \sqrt{146}}{3}}}[/tex]

[tex] \displaystyle{ \frac{2 \times \frac{220}{3} \times 140 + 2 \times \frac{100}{3} \times 160}{2 \times \frac{20 \times \sqrt{146}}{3}}\approx 193.66}[/tex]

Therefore;

[tex] \displaystyle{ \frac{d}{dt} d \approx 193.66}[/tex]

The rate of change of the distance between the vehicles with time, [tex] \displaystyle{ \frac{d}{dt} d}[/tex] after 10 minutes is approximately 193.660 m/s

Learn more about rate of change of a function here:

https://brainly.com/question/24313700

#SPJ1

At a sale a sofa is being sold for 67% of the regular price. The sale price is $469. What is the regular price?

Answers

We have the following information:

• At a sale, a sofa is being sold for ,67% of the regular price

,

• The sale price is $469

And we need to determine the regular price.

To find it, we can proceed as follows:

1. Let x be the regular price. Then we have:

[tex]\begin{gathered} 67\%=\frac{67}{100} \\ \\ 67\%(x)=\frac{67}{100}x \\ \\ \text{ Then we know:} \\ \\ \frac{67}{100}x=\$469 \end{gathered}[/tex]

2. Now, we have to solve for x as follows:

[tex]\begin{gathered} \text{ Multiply both sides by }\frac{100}{67}: \\ \\ \frac{67}{100}*\frac{100}{67}x=\frac{100}{67}*\$469 \\ \\ x=\frac{100*\$469}{67}=\$700 \\ \\ x=\$700 \end{gathered}[/tex]

Therefore, in summary, the regular price is $700.

4. Solve the equation 3x + 2 = 17 using the bar diagram.17ххХ2

Answers

Given that 3x+2=17

3x=17-2

3x=15

x=15/3

x=5

so,the numbers we end up using are 17,3,15,5,2

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 3≤x≤6

Answers

STEP - BY - STEP EXPLANATION

What to find?

Rate of change of the given function.

Given:

Step 1

State the formula for rate of change.

[tex]Rate\text{ of change=}\frac{f(b)-f(a)}{b-a}[/tex]

Step 2

Choose any two point within the given interval.

(3, 59) and (6, 44)

⇒a=3 f(a) =59

b= 6 f(b)=44

Step 3

Substitute the values into the formula and simplify.

[tex]Rate\text{ of change=}\frac{44-59}{6-3}[/tex][tex]=\frac{-15}{3}[/tex][tex]=-5[/tex]

ANSWER

Rate of change = -5

−|a+b|/2−c when a=1 2/3 , b=−1 , and c=−3
ENTER YOUR ANSWER AS A SIMPLIFIED FRACTION IN THE BOX.

Answers

The value of the expression −|a + b|/2 − c when a =1 2/3 , b=−1 , and c=−3 is 8/3

How to evaluate the expression?

From the question, the expression is given as

−|a + b|/2 − c

Also, we have the values of the variables to be

a =1 2/3 , b=−1 , and c=−3

Rewrite a as

a = 5/3

So, we substitute a = 5/3  b=−1 , and c=−3 in −|a + b|/2 − c

This gives

−|a + b|/2 − c  = −|5/3 - 1|/2 + 3

Evaluate the difference in the expression

−|a + b|/2 − c  = −|2/3|/2 + 3

Divide

−|a + b|/2 − c  = −|1/3| + 3

Remove the absolute bracket and solve

−|a + b|/2 − c  = 8/3

Hence, the solution is −|a + b|/2 − c  = 8/3

Read more about expressions at

https://brainly.com/question/4344214

#SPJ1

The required simplified value of the given expression is 8/3.

As per the given data, an expression −|a+b|/2−c is given when   a=1 2/3, b=−1, and c=−3 the value of the expression is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the solution be x,
x = −|a+b|/2−c
Substitute value in the above equation,
x = - |1 + 2 / 3 - 1|/2 - (-3)
x = -1/3 + 3
x = -1+9 / 3
x = 8/3

Thus, the required simplified value of the given expression is 8/3.

Learn more about expression here:

https://brainly.com/question/16804733

#SPJ1

A solution must be 14% Insecticide. To make 5 gallons of this solution how much insecticide must you use? A) 0.028 gallon B) .36 gallon C) .7 gallon D) 2.8 gallons

Answers

Insecticides = 14/100 x 5 = 0.7

A random number generator is used to select an integer from 1 to 50 ​(inclusively). What is the probability of selecting the integer 361​?

Answers

The probability of selecting the integer 361 from the random generator is 0.

What is probability?

It should be noted that probability simply has to do with the likelihood that a particular thing will take place.

In this case, a random number generator is used to select an integer from 1 to 50 .

The probability of selecting the integer 361 from the random generator will be 0. This is because the numbers given are from 1 to 50.

Learn more about probability on:

brainly.com/question/25870256

#SPJ1

Given the diagram, classify the bolded line as a perpendicular bisector, angle bisector, median or alritude. I chose angle bisector. Am I right?

Answers

we have that

the answer is the option First

perpendicular bisector

because, is perpendicular to the segment at its midpoint

C Dorothy drew a rectangle with length of 14.3 centimeters and width of 13.9 centimeters. Find its area (nearest tenth).

Answers

Area of rectangle = Length x Width

. = 14.3 x 13.9

. = (13.9+ 0.4) x 13.9

. = 13.9^2 + 5.56

. = 13•14 +( 1.4)•8 + 5.56

. =198.77 cm2

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis,each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a/maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 persale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weeklysalary is $900.This task build on important concepts you've learned in this unit and allows you to apply those concepts to a variety ofsituations. Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis,each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with amaximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 persale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weeklysalary is $900. Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis,each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with amaximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 persale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weeklysalary is $900.

Answers

Given:

Salesman A earn = 65 per sale.

Salesman B earn = 40 per sales and 300weekly salary.

Salesman C earn = 900 weekly salary

Let "x" represent the number of sales each man

Salesman A earn is:

[tex]y=65x[/tex]

Salesman B earn is:

[tex]y=40x+300[/tex][tex]\begin{gathered} 65x=40x+300 \\ 65x-40x=300 \\ 25x=300 \\ x=\frac{300}{25} \\ x=12 \end{gathered}[/tex]

So total sales is 12 then.

S=0 For Zero week

[tex]\begin{gathered} \text{Salesman A} \\ y=65x \\ y=0 \end{gathered}[/tex][tex]\begin{gathered} \text{Salesman B} \\ y=40x+300 \\ y=40(0)+300 \\ y=300 \end{gathered}[/tex][tex]\begin{gathered} \text{ Salesman C} \\ y=900 \end{gathered}[/tex]

For S=1

[tex]\begin{gathered} \text{Salesman A:} \\ y=65x \\ y=65(1) \\ y=65 \\ \text{Salesman B}\colon \\ y=40x+300 \\ y=40(1)+300 \\ y=340 \\ \text{Salesman C:} \\ y=900 \end{gathered}[/tex]

For s=10

[tex]\begin{gathered} \text{Salesman A:} \\ y=65x \\ y=65(10) \\ y=650 \\ \text{Salesman B:} \\ y=40x+300 \\ y=40(10)+300 \\ y=700 \\ \text{Salesman c:} \\ y=900 \end{gathered}[/tex]

i need help asap!!! im bad at graphing

Answers

Answer:

Step-by-step explanation:

eq. of any line with slope -1/2 and through (-1,-5) is

y+5=-1/2(x+1)

2y+10=-x-1

2y=-x-11

x+2y=-11

y=0

x=-11

point is (-11,0)

draw a line through (-11,0) and (-1,-5)

I-intercept: C y-intercept y 7+ 5+ 3+ 2+ ... Leveled up to Familiar!

Answers

The x intercept is (-7.5,0).

The y intercept is (0,5.5).

The graph of F(x), shown below, has the same shape as the graph ofG(x) = x - x? Which of the following is the equation of F(x)?F(x) = ?

Answers

The graph of G(x) is symmetric with respect to the y-axis. It also passes through the origin.

Since the graph of F(x) moved 4 units upward, we must add 4 to the right of the equation. Thus, the equation of F(x) is as follows.

[tex]F(x)=x^4-x^2+4[/tex]

Derive the formular to find the area of the moon and state the assumption taken clearly, physically and mathematically, without defying Keplars laws​

Answers

Answer:

Area = 4πr²

Step-by-step explanation:

- We know that a moon revolves around its orbit as per Keplar. The moon is not a perfect sphere, so we shall take an assumption;

Assume the moon is a perfect and regular sphere

[tex]{ \tt{volume \: of \: moon = \frac{4}{3} \pi {r}^{3} }} \\ \\ { \boxed{ \tt{ \: v = \frac{4}{3} \pi {r}^{3} }}}[/tex]

- From engineering mathematics (rates of change), we know that volume is first order integral of area and area is the first order derivative of volume;

[tex]{ \tt{area = \frac{d(volume)}{dr} }} \\ \\ { \tt{volume = \int area \: dr}}[/tex]

- So, from our formular;

[tex]{ \tt{area = \frac{dv}{dr} = \frac{4}{3}\pi ( \frac{d ({r}^{3} )}{dr} ) }} \\ \\ { \tt{area = \frac{4}{3}\pi(3 {r}^{2}) }} \\ \\ { \boxed{ \rm{area = 4\pi {r}^{2} }}}[/tex]

r is radius of the moon

[tex]{ \boxed{ \mathfrak{DC}}}{ \underline{ \mathfrak{ \: delta \: \delta \: creed}}} \\ [/tex]

Other Questions
Write a ratio for the following situation.For every one year, there are twelve months. Given: F(x) = 2x and G(x) = x^2+ 2Find f/g(-1) in the chlorine monoxide molecule, chlorine has a charge of 0.167 e-. if the bond length is 154.6 pm, calculate the dipole moment of the molecule in debyes. a. 3.11 d b. 2.30 d c. 0.167 d d. 1.24 d e. 1.65 d write a letter to director peshawar development authority to take measures to improve sanitary condition of your area Determine the equation of the circlegraphed below.-10 -9-8 -7 -6 -5 -4 -3-1109y87654321-1-2-3-4-5-6-7-8-9-1012 3 4 5 6 7 8 9 10X Which situation could NOT represent a proportional relationshipAnswerA The number gallons of water in x barrels with 42 gallons of water in each barrelB The amount an employee who makes 58.50 per hour eams in h hoursC The weight in x weeks of a puppy that gains 2 pounds per week it is starting weight is 5 poundsD The cost of purchasing p pounds of bananas for 50 55 per pound A flight from sydney to auckland takes 3 hours and 12 minutes. auckland time is 2 hours ahead of sydney's. if the flight departed at sydney 10:10am at what time did it arrive at auckland Which angle relationships are correct? Check all that apply.1 and 8 are alternate exterior angles.4 and 6 are same side interior angles.5 and 7 are vertical angles.2 and 8 are corresponding angles.3 and 6 are alternate interior angles. What is the volume of a 10% m/v aqueous solution that contains 37.8g of HN03? president william howard taft vigorously opposed the sixteenth amendment to the constitution, which authorized congress to repeal all taxation on the wealthy. The area of the entire figure below is 1 square unit.What is the area of the stripped rectangle?? I WILL MARK BRAINLIEST!! What does y equal in the solution of the system below:x/2 + y/3 = 1 x/5 + y/2 = 1A. 2/11B. 42/19C. 18/11D. 2/19Please work it out/explain!!! 1. Without what a car's tires would have nothing to grip.A. frictionB. accelerationC. velocityD. speed can someone please help me You are a presidential candidate developing your campaignCome up with a slogan and tell me 3 propaganda techniques that you will use on the campaign trail, and describe how you will use them to get into office. The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 23 fl oz per hour. How fast was the pipe leaking in gallons per day why is Canada's system called a parliamentary democracy? Arrange events in the section in the order they occur: Mildred invites her friend over to watch White clown, The hound come sniffing around the door while Mildred are reading books, Faber gives montag hos modified seashell radio, Montag has a breakdown on public transportation due to not being able to get the sound of advertisements out of his head. HELP ME PLEASE AND HURRY :[ From a lamp post four feet away from her, Sandra looks up to the sky and sees a bird that is five feet away from her. How high up is the bird? Show all of your steps in answering the question Easton is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. easton will earn $40 every time one of his songs is played in a commercial and he will earn $110 every time one of his songs is played in a movie. easton's songs were played on 6 more commercials than movies, and his total earnings on the royalties from all commercials and movies was $840. determine the number of commercials and the number of movies on which easton's songs were played. What is the slope y = 8x - 15