Anyone know how to do area or volume? Any help will do! thanks

Anyone Know How To Do Area Or Volume? Any Help Will Do! Thanks

Answers

Answer 1

Answer:

Volume: x(x+6)(x+2) Area: [tex]x^{2}[/tex] + 8x +12

Step-by-step explanation:

Volume Explanation:

To find the volume of a 3d figure, we must multiply the length, width, and the height. Therefore we multiply (x)(x+6)(x+2)= [tex]x^{3}[/tex] + 8[tex]x^{2}[/tex] + 12x. Simplify this equation and we will get x(x+6)(x+2) for the formula to find the volume of the 3D figure.

Area:

To find the area of a 2D figure, we must multiply length x height. Therefore, we multiply the equations (x+6)(x+2)= [tex]x^{2} + 2x + 6x +12[/tex] to get a final answer of [tex]x^{2} +8x +12[/tex].  This will be the formula when you find the area of the 2D figure in question.


Related Questions

What is the length of the track, in miles, around turn A? Round your answer to three decimal places.

Answers

Answer:

?

Step-by-step explanation:

Please explain-WHAT TRACKS?

Answer:

5.275

Step-by-step explanation:

Got the answer from Emma on Gauth Math

How many centimeters in 3.7 kilometers? ​

Answers

Answer:

370,000 centimeters

Step-by-step explanation:

1. There are 1000 meters in a kilometer.

2. 3.7 kilometers x 1000 = 3,700 meters

3. There are 100 centimeters in a meter

4. 3,700 x 100 = 370,000 centimeters

A spring supporting a mass of 30 kg compresses 0.6 m. how far does the spring compress when it supports a mass of 10 kg? 0.1 m 0.2 m 1.2 m 1.8 m

Answers

The spring .2m far when it is compressed on being supported by a mass of 10kg.

Given: Mass of 30 kg which compresses spring by 0.6m

To find: The compression of the spring when it is supported by a mass of 10 kg

Concept: Compression springs are coiled springs that hold mechanical energy in a compressed state. When these springs are subjected to compressive loads, they compress and shorten, capturing and storing significant potential force.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

By using unitary method,

10 is 3 times less than 30.

so, 30/3=10

Also applying the same proportion over the lengths compressed,

we get, 0.6/3=.2

For more information about unitary method, visit

https://brainly.com/question/24587372

#SPJ4

Problem
(a) Expand and simplify [tex](x^2+2)^2[/tex]
(b) Hence fully factorise [tex]x^4+4x+3[/tex]

Please do not give me irrelevant answers.

Answers

Answer:

a)

[tex](x^{2} + 2)(x^{2} + 2)\\x^{4} + 2x^{2} + 2x^{2} + 4\\= x^{4} + 4x^{2} + 4\\[/tex]

b)

[tex](x +1)(x + 1)(x^{2} -2x +3) = (x + 1)^{2} (x^{2} -2x +3)[/tex]

Which equation is a function of x? x = 5 x = y squared 9 x squared = y x squared = y squared 16

Answers

The equation which is a function of x is x²=y.

Given an equation that is a function of x.

A function may be a relation between a collection of inputs and a collection of permissible outputs with the property that every input is said to precisely one output.

If we input a value of x then we get the output f(x) = y, which is the function of x.

We are given four options out of which we are to pick the one which may be a function of 'x'.

The first option is x=5 in which no term of y is included and its a constant. So, option 1 is not correct.

The second option is x=y²+9 in which y contains a power 2. So, option 2 is not correct.

The third option is x²=y in which y contains power 1. So, option 3 is correct.

The fourth option is x²=y²+16 in which y contains a power 2. So, option 3 is not correct.

Hence, the equation which is a function of x is x²=y.

Learn about functions from here brainly.com/question/16614909

#SPJ4

Solve the inequality.

Answers

[tex]5x - 7 \leqslant 13 \\ add \: 7 \: on \: both \: sides \\ 5x - 7 + 7 \leqslant 13 + 7 \\ 5x \leqslant 20 \\ divide \: both \: sides \: by \: 5 \\ \frac{5x}{5} \leqslant \frac{20}{5} \\ x \leqslant 4[/tex]

Interval: (-infinity,4]

MATH: FINDING HALF LIFE PT 1

Answers

Answer:

  15.4 years

Step-by-step explanation:

An investment is doubled when it is twice its initial value. The equation can be solved for the value of t that makes this true.

Setup

In the exponential equation for investment value, the factor y₀ is the initial value of the investment. We want to find t when y = 2y₀.

  2y₀ = y₀·e^(0.045t)

Solution

Dividing by y₀ gives ...

  2 = e^(0.045t)

Taking natural logarithms, we have ...

  ln(2) = 0.045t

Dividing by the coefficient of t gives its value:

  t = ln(2)/0.045 ≈ 15.4

The investment will be doubled after 15.4 years.

__

Additional comment

The continuously compounded interest rate for this investment is 4.5%. The doubling time is 0.693 divided by this: 0.693/0.045 ≈ 15.4. This relationship holds for any sort of continuous compounding.

Graph the function g.
f(x) = -2(x-4)² +4
g(x) = f(x) - 1
O

Answers

Answer:

19

Step-by-step explanation:

fx=16+4

fx=20

gx= 20-1

gx=19

19

If f(x) = x³ - 2, find f(3).

Answers

[tex]f(x) = x {}^{3} - 2 \\ f(3) = 3 {}^{3} - 2 = 27 - 2 = 25[/tex]

[tex]f(3) = 25[/tex]

So if f(x) = x^3 - 2 you would insert three in the function

So instead of x it’s 3.

3^3 - 2 = 9 -2
= 7

So the answer of the function is 7.

Umm I don’t have 10 as a option

Answers

Answer: Look for the closes thing to 10

Step-by-step explanation:

If a + a = a then a = 0. prove​

Answers

a+a=a
→a+a-a=0
→a=0
(proved)

Step-by-step explanation:

[tex]a + a = a[/tex]

[tex]2a = a[/tex]

[tex]2a - a = 0[/tex]

[tex]a = 0[/tex]

Proved.

5. Kal Tire installs automobile tires on a first-come first-served basis. A random sample of 50 customers experienced an average wait time of 93.7 minutes. Assume that the standard deviation of total wait time for all customers is 20.6 minutes. Determine the margin of error for a 95% confidence interval for this sample.

Answers

5.7099 is the margin of error.

What is standard deviation ?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

According to the question,

The standard sampling error of the sample mean is σₓ ,

The sampling distribution is: N (u,σₓ/n)

Therefore,

By using the standard deviation formula:

σₓ = √∑(xi -μ)/N

Where,

∑= population standard deviation

N= the size of the population

xi= each value from the population

μ =the population mean

So ,

σₓ = [tex]\frac{20.6}{\sqrt{50} }[/tex] = 2.913

Since, a = 1- 95% = 0.05

therefore [tex]Z\frac{a}{2}[/tex] = (1-0.005 x 2) = 1.959964

Here, the margin of error for a 95% confidence interval for this sample is given by:

[tex]Z\frac{a}{2}[/tex] * σₓ = 1.959964 x 2.913    

           = 5.7099

5.7099 is the margin of error for a 95% confidence interval for this sample.

Learn more about standard deviation here:

https://brainly.com/question/13905583

#SPJ1

Craig ran 4 days last week. His distances were
3.25, 6.5, 7.25, and 10.5 kilometers. What was
his average distance per day for the 4 days?

Answers

6.875 average.

To calculate the average you add up all of the numbers and divide it by the number of numbers there are, in this case there are 4 numbers. So you add 3.25+6.5+7.25+10.5 and divide that by 4

-76 * a number minus 61 is equal to -89 less than the number

Answers

Answer: -211/76

Step-by-step explanation:

to solve this word problem equation, we need to first convert the words to numbers and variables we can solve for:

we can replace "a number" for a variable such as x

this gives:

-76·x-61=x+89

now all you have to do is solve the equation and you're done!

What is √200in simplest form?

Answers

Answer:

10√2

Step-by-step explanation:

The square root of 200 in its simplest radical form is 10√2.

If we know the prime factorization of a number, we can write the radical form of the square root of that number. As a result, the prime factorization of 200 is 2 × 2 × 2 × 5 × 5.

As a result, the square root of 200 in the simplest radical form should be 10√2.

MATH: FINDING HALF LIFE PT 2..HELP!

Answers

The half life of the radioactive Rutherford-265 is;

13.1 hours.

What is the half-life of the radioactive Rutherford-265?

It follows from the task content that the given function represents the decay function of the radioactive material. Since half-life corresponds to the point at which only half of the starting material remains, hence we have;

(1/2) = e ^(-0.053t)

By taking the natural log of both sides, we have;

-0.6931 = -0.053t

Hence, t = -0.6931/ -0.053 = 13.1 hours.

Read more on half-life;

https://brainly.com/question/25750315

#SPJ1

Trigonometry Maths Question
80 points up for grabs!
Will mark brainliest to whoever answers

Answers

Answer:

x = 35.537677791974°

y = 63.434948822922°

Step-by-step explanation:

let x be the measure of the angle of elevation of the sun.

tan(x) = 10/14

Then

x = tan⁻¹ (10÷14) = 35.537677791974°

………………………………………………

let y be the measure of the angle of elevation of the sun

where the shadow decreases to 5m.

tan(y) = 10/5 = 2

Then

y = tan⁻¹ (2) = 63.434948822922°

Answer:

a) 35.54°

b) 63.43°

Given following:

length of pole: 10 meterits shadow: 14 meter

Determining, the shadow is adjacent side and length of the pole is the opposite side. Hence, use the tan rule. Let the angle be x.

(a)

[tex]\sf tan(x) = \dfrac{opposite}{adjacent}[/tex]

[tex]\sf tan(x) = \dfrac{10}{14}[/tex]

[tex]\sf x = tan^{-1}(\dfrac{10}{14} )[/tex]

[tex]\sf x = 35.54^{\circ \:} \quad (rounded \ to \ nearest \ hundredth )[/tex]

(b) If the shadow decreases to 5 meter.

[tex]\sf tan(x) = \dfrac{opposite}{adjacent}[/tex]

[tex]\sf tan(x) = \dfrac{10}{5}[/tex]

[tex]\sf x = tan^{-1} (\dfrac{10}{5})[/tex]

[tex]\sf x = 63.43 ^\circ \quad (rounded \ to \ nearest \ hundredth)[/tex]

Hi, need help please to get my HS diploma...did not graduate :(
Which of the following equations is written in standard form?

Answers

Answer:

The first answer

4x-2y=0

Whats the correct answer answer asap for brainlist

Answers

England should be the only one of these three. Spain and France also had colonies but are not choices.
england because italy and Ireland never captured any colonies

a2 − 6) and (a2 + 4) are the factors of

Answers

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Example: x²+3x+5 is a polynomial.

The polynomial whose factors are (a²-6) and (a²+4) is,

P(x) =  (a²-6)(a²+4)

      = a⁴ + 4a² - 6a² - 24

      = a⁴ - 2a² - 24

Hence, The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.

Learn more about Polynomials:

https://brainly.com/question/27343162

#SPJ1


Xin and Yvonne are standing 42 m apart. If they walk towards each other, they will meet after 12 seconds. If they walk in the same direction, Yvonne will catch up with Xin after one minute. It is given that Xin and Yvonne walk at constant speeds ofx m/s and y m/s respectively.
Form a pair of simultaneous equations in x and y.

Answers

Answer:

12(x+y)=42

60(y-x)=42

Step-by-step explanation:

12(x+y)=42 (12 seconds, x+y speed each second, 42 metres)

60(y-x)=42 (1 minute = 60 seconds, x-y speed each second, 42 metres)

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

Answers

Step-by-step explanation:

[tex] = - \frac{5}{9} - ( - \frac{14}{15} )[/tex]

[tex] = - \frac{5}{9} + \frac{14}{15} [/tex]

[tex] = - \frac{5 \times 5}{9 \times 5} + \frac{14 \times 3}{15 \times 3} [/tex]

[tex] = - \frac{25}{45} + \frac{42}{45} [/tex]

[tex] = \frac{ - 25 + 42}{45} [/tex]

[tex] = \frac{42 - 25}{45} [/tex]

[tex] = \frac{17}{45} [/tex]

sally has a pet snail that fell into a well.The well is 16 feet deep. Each day the snail climbs up 5 feet, but each night slides down 4 feet. How many days will it take Sallys snail to get to the top of the well

Answers

Answer:

16 days

Step-by-step explanation:

OK, The pet snail only moves a foot per day because at night it falls again, SO ima going with 16 days.

[<Answer>] (2):
Hello! I'm Avery. And I'm here to help! :)


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

[<The Explanation>}:

Sally has  pet snail that fell into a well.

(Depth of the well = 16 feet)

Snail climbs up 5 feet but each night it slides back down 4 feet.

So the snail climbs up per day = 5 feet - 4 feet = 1 feet.

Number of days snail took to reach at 11 feet = 11 × 1 = 11 feet

Remaining distance to cover by the snail = 16 - 11 = 5 feet

Number of days to cover remaining 5 feet to reach the top of the well = 1 day

Therefore, snail will take 12 days to reach the top of the well.

----------------------------------------------------------------------------------------------------------
[<Ending>] <3

Hope this helps and if it's wrong, you can't sue me! :D

Bye! Hope this works for you :)

Have a nice day! - Avery <3

find the domain and range of the exponential function h(x) = 125x. explain your findings. as x decreases, does h increase or decrease? explain. as x increases, does h increase or decrease? explain.

Answers

We have an exponential growth. The domain is the set of all real numbers and the range is R: (0, ∞).

What can we say about the exponential function?

Here we have the exponential function:

[tex]h(x) = 125^x[/tex]

Notice that the base, 125, is larger than 1, which means that we have an exponential growth.

So, as x increases, also does h(x).As x decreases, also does h(x).

Now, the domain of any exponential equation is the set of all real numbers.

For the range, as x tends to negative infinity, the function will tend to zero.

And as x tends to infinity, h(x) also tends to infinity.

So the range is R: (0, ∞).

If you want to learn more about exponential equations:

https://brainly.com/question/11832081

#SPJ1

Compare the process of solving |x – 1| + 1 < 15 to that of solving |x – 1| + 1 > 15. Check all of the following you included in your response. Both absolute values would need to be isolated first. You would need to write a compound inequality for each. Both compound inequalities would compare x – 1 to –15 and 15. The inequality with “<” would use an “and” statement, while the “>” would use an “or” statement.

Answers

The required Comparison of the inequalities are

The |x – 1| + 1 > 15 represents the value of x lies between 13<x<15.

The range of values encompassing the region's junction is (-13, 15).

If x is more than or equal to 15, then x-11+1>15 indicates the value of x is greater than or equal to 13. None of the regions in the intersection are empty.

What is inequality?

When comparing two numbers, an inequality indicates whether one is less than, larger than, or not equal to the other.

We take into account the various variables of the inequality

|x – 1| + 1 > 15

Therefore

|-x-1|+1-1<15-1

|-x-1|-1 <14

13<x<15

The required region lies between the inequality -13 <x< 15.

Simplify the inequality Ix-11+1 > 15 we get,

|x-1|+1 > 15

|x+1| +1-1 >15-1

|x-1| > 14

x> 15  

x<-13

If x has a value between -13 and x + 15, then the expression "|x-1|+1+115" is true. The range "(-13, 15)" contains the intersection of the region.If "|x-1|+1>15" then either "x >15" or "x-13" applies to the value of x. This region's intersection is unoccupied.

Read more about inequalities

https://brainly.com/question/20383699

#SPJ1

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 10< x <22

Answers

Using it's concept, the average rate of change of the function over the interval 10 < x < 22 is given by:

[tex]r = \frac{f(22) - f(10)}{12}[/tex]

What is the average rate of change of a function over an interval?

It is given by the change in the output divided by the change in input.

Over the interval 10 < x < 22, the outputs are f(10) and f(22), hence the rate of change is given by:

[tex]r = \frac{f(22) - f(10)}{12}[/tex]

More can be learned about the average rate of change of a function at brainly.com/question/24313700

#SPJ1

Solve: −(23a−13)+53a=−4

Answers

Answer:

a = -17/30

Step-by-step explanation:

So the first step is to distribute the negative sign, if that's a bit confusing think of the negative sign as a -1 instead of just a negative sign, and then think of distributing that negative 1 to the 23a and -13.

Original Equation:

-(23a - 13) + 53a

Distribute negative sign

-23a + 13 + 53a

Group like terms:

(-23a + 53a) + 13

Simplify

30a + 13 = -4

Subtract 13 from both sides

30a = -17

Divide both sides by 30

a = -17/30

Early in 2022, Pina Company switched to a just-in-time inventory system. Its sales revenue, cost of goods sold, and inventory amounts for 2021 and 2022 are shown below.

Answers

The Inventory Turnover for 2021 is 5.9 times and for 2022 is 10 times.

Inventory turnover

2021

Inventory Turnover = Cost of Goods sold / Average Inventory

Cost of Goods sold = $1,165,250/[($170,000+$225,000)/2]

Cost of Goods sold = $1,165,250/($395,000/2)

Cost of Goods sold = $1,165,250/197,500

Cost of Goods sold = 5.9 times

2022

Inventory Turnover = Cost of Goods sold / Average Inventory

Cost of Goods sold = $1,525,000/[($225,000+$80,000)/2]

Cost of Goods sold =  $1,525,000/($305,000/2)

Cost of Goods sold =  $1,525,000/152,500

Cost of Goods sold = 10 times

Therefore the Inventory Turnover for 2021 is 5.9 times and for 2022 is 10 times.

Learn more about  Inventory Turnover here:https://brainly.com/question/12942515

#SPJ1

The complete question is:

Pina Colada Corp. switched to a just-in-time inventory system. Its sales and Inventory amounts for 2021 and 2022 are shown below.

                                 2021            2022

Sales revenue $3,360,000  $3,900,000

Cost of goods sold  1,165,250 1,525,000

Beginning inventory  170,000 225,000

Ending inventory        225,000  80,000

Determine the inventory turnover for 2021 and 2022.

Give 3 reason why a rectangle is not a square​

Answers

Answer:

A square is a rectangle but a rectangle is not a square. A square consists of  four sides of equal lengths. A rectangle has two sides shorter than the two other sides.

Step 6: Patterns can provide a clear understanding of mathematical relationships. This can be seen very clearly in the form of multiplication tables. 3 x 2; 3 x 3; 3 x 4 are clearly examples of the relationship pattern found in multiplication. Provide two more examples of relationship patterns found in mathematics. Describe the pattern in each case. (NB: Do not use the multiplication tables). (8) Step 6 : Patterns can provide a clear understanding of mathematical relationships . This can be seen very clearly in the form of multiplication tables . 3 x 2 ; 3 x 3 ; 3 x 4 are clearly examples of the relationship pattern found in multiplication . Provide two more examples of relationship patterns found in mathematics . Describe the pattern in each case . ( NB : Do not use the multiplication tables ) . ( 8 )​

Answers

Two more examples of relationship patterns found in mathematics are Geometric sequences and Fibonacci numbers.

What are mathematical patterns?

Mathematical patterns are a sequence of repeated arrangements of numbers, shapes, colors, letters, etc.

Mathematical patterns are usually abstract.

What is a geometric sequence?

A geometric sequence is a sequence of non-zero numbers.  The first number is the product of multiplying a previous number by a fixed, non-zero number, called the common ratio.

A Geometric sequence may look like: 2, 4, 8, 16, 32, 64, 128, ..., where the common ratio is 2.

What is a Fibonacci sequence?

A Fibonacci number starts with a zero, followed by a one, then by another one, and then by a series of steadily increasing numbers.

The rule of the Fibonacci sequence is that each number is equal to the sum of the preceding two numbers, for example, 0, 1, 1, 2, 3, 5, 8, 13.

Learn more about mathematical patterns at https://brainly.com/question/854376

#SPJ1

Other Questions
Use the given graph to determine the limit, if it exists. (4 points)A coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point 3, 1, a closed point at 3, 7, and a horizontal line starting at the open point 3, 3.Find limit as x approaches three from the right of f of x. . use the distrubutive property to simply -8(6x+3) Based on this poem , identify two ways the Nile River influenced the economic development of Egypt . Does anyone know the solution to the 11th number sum? Thank you! Which of the following phrases best describes the term scientific model?OA. A physical copy of a scientific object, system, or processB. The application of scientific knowledge to make predictions aboutan object, system, or processC. An experiment in which variables are controlledOD. A simplified representation used to explain or make predictionsabout something Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.P(X Read the following text carefully, then answer the question. Exciting New Gym Opening Soon!!! Northside Gym is opening soon, providing a new level of gym experience. The gym will meet all your fitness and health goals through our carefully tailored training programmes, with all the latest gym facilities and equipment. Our workout sessions are for everyone, from amateurs to skilled bodybuilding experts. Based in the Brisbane city centre, we pride ourselves on an ideal location that accommodates for those coming by car and those who cycle or commute. Our members tell us we simply tick all the boxes! If you feel like having a workout before work, during lunchtime or late at night, you can always count on us as we are open 6 am 11 pm during week time and 8 am - 10 pm at weekends. We also offer private changing rooms and showers. You will be spoilt for choice when using our state of the art gym equipment as we have filled our facilities with the latest devices for everyone to get ahead. You can cherry-pick the latest training sessions as well as the best industry trainers and aerobic, spin or yoga classes to keep your progress on track! For more details, please check our timetable and find the sessions which suit your availability and interests. To make things easier, our membership is contract-free which means you can cease it at any given time. You are also more than welcome to postpone your membership with us for up to 12 weeks, if you are unable to join us straight away or if you are a member of another gym. On your first day, our personal trainer will take you through our safety induction to show you how to use our cutting-edge equipment and discuss your medical needs. The team will also guide you through our website and explain how to access your membership page, where to find online training or nutritional guides and how to book classes. Join before the end of the month and receive a free gym pack!!! Why would the personal trainer take a new member through What is the name of the massive public online ledger which records the time and amount of every finalized cryptocurrency transaction Sara was caught in a thunderstorm while outdoors. she immediately makes sure that she is not near any tall structures or trees. what is sara most likely trying to avoid? being struck by lightning being hit by thunder being caught by falling hail being carried away by strong winds How would you answer the following question?Qu ests haciendo?A. Pint una acuarela.B. No hice nada.C. Voy a pintar una acuarela.D. Estoy pintando una acuarela. Which group changed the lives of people around the world through its early discoveries? a) conquistadors b) vikings c) pilgrims d) spanish merchants What is the similarity between Mephistopheles of Goethes Faust and Horse Master of Swifts Gullivers Travels in regards to the idea about the nature of humankind? The names of the months are each written on a slip of paper. if a slip of paper is randomly drawn, which scenario depicts mutually exclusive events? begins with a j and contains a u ends with an r and has five or fewer letters has thirty-one days and ends with a y contains an e and has thirty or fewer days what should a writer plan to include in the end of a narrative essay? check all that apply PLS HELP: Find the magnitude of an electric field located 7.00 cm from a source charge of - 11 nC. (1nC = 1 x 10-9 C). Will the field lines point toward or away from the source charge? Show your work and include an electric field diagram assuming the source is a point charge Calvin Coolidge cut many governmentalprograms because he believed in whatdomestic policy?A. Low tariff spendingB. Foreign aid policyC. Limited government spendingD. Globalization the measures of the sides of a triangle are 2x+3, 8x-4 and x^2. Write an expression that describes the perimeter of the triangle For centuries before the conquest of the Americas, Europeans had intersected with__________ populations in North Africa and Eurasia. A motivation for scientific management, which uses time and motion studies and work standardizations, is to: A population of squirrels is growing in a Louisiana forest with a monthly growth constant of 55 percent. If the initial count is 100100 squirrels, how many are there in a year? Round any intermediate calculations, if needed, to no less than six decimal places, and round your final answer to the nearest whole number.