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▹ Answer
Slope = -3
Y-intercept = 8
▹ Step-by-Step Explanation
y = mx + b
mx represents the slope.
b represents the y intercept.
therefore,
y = -3x + 8
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:
[tex]\boxed{\mathrm{Slope:}-3 \: \: \: \:\: \mathrm{Y \: intercept:}8}[/tex]
Step-by-step explanation:
The general form of slope-intercept:
[tex]y=mx+b[/tex]
[tex]m:slope\\b:y \: intercept[/tex]
[tex]y=-3x+8[/tex]
[tex]m=-3\\b=8[/tex]
The slope is -3.
The y-intercept is (0, 8) or 8.
f(x)= x^2– 3x + 9
g(x) = 3x^3+ 2x^2– 4x – 9
Find (f - g)(x).
Answer:
[tex]\large \boxed{\sf \ \ -3x^3-x^2+x+18 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
[tex](f-g)(x)=f(x)-g(x)=x^2-3x+9-(3x^3+2x^2-4x-9)\\\\=x^2-3x+9-3x^3-2x^2+4x+9\\\\=\boxed{-3x^3-x^2+x+18}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The triangles are similar. Write a similarity statement for the triangles.
Answer:
Option (2)
Step-by-step explanation:
In the two triangles ΔWVZ and ΔYXZ,
If the sides WV and XY are parallel and the segments WY and VX are the transverse.
∠X ≅ ∠V [Alternate angles]
∠W ≅ ∠Y [Alternate angles]
Therefore, ΔWVZ ~ ΔYXZ [By AA postulate of the similarity]
Option (2) will be the answer.
Drag each tile to the correct box. Order the expressions from least value to greatest value . -3 3/10 - ( -7/20 ), 5/-1.6, 5 6/15 + ( -2 4/5 ), -4.5 x -2.3
Answer:
B A C D
Step-by-step explanation:
Your calculator can tell you the values of these expressions. In the order given, they are ...
-3 3/10 -(-7/20) = -2.955/-1.6 = -3.1255 6/15 +(-2 4/5) = 2.6-4.5×-2.3 = 10.35We hope you have no trouble recognizing that swapping the first two expressions will put them all in increasing order.
-3 3/10 -(-7/20) = -2.95
5/-1.6 = -3.125
5 6/15 +(-2 4/5) = 2.6
-4.5×-2.3 = 10.35
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 33/fts. The ball's height h (in feet) after t seconds is given by the following. =h+2−33t16t2 Find all values of t for which the ball's height is 18 feet. Round your answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.)
Answer:
t=1.283 seconds and
0.779 seconds
Step by step Explanation:
Given: h=18 ft
The given equation is h=2+33t-16t²
Then if we substitute the value of given h, h=18 ft into the given equation we have,
18=2+33t-16t²
Then if we re- arrange we have
16t²−33t+16=0
We can see that the above quadratic equation is in standard form, with a=16, b=33 and c=16 then we can use quadratic formula in solving it which is
t= −(−33±√[(−33) ²−4×16×16)]/(2×16)
= [33±√[1089−1024]/(32)
= [33±√[65]/(32)
=1.283 or 0.779 seconds
the two real roots , of the quadratic are:
1.283 and
0.779 seconds
t= 1.283 or 0.779 seconds
Hence, the ball is at 18 feet with height 0.779seconds after it has been thrown up and,
and is at 21 feet with height 1.283 seconds after after thrown down
Find the exact values of sin 2θ and cos 2θ for cos θ = 6/13
Answer:
Step-by-step explanation:
cos^-1(6/13)=62.5136°
sin(2*62.5136°)=0.8189
cos(2*62.5136°)=-0.5740
someone could help me?
Answer:
Step-by-step explanation:
From 6 to 9 is 3 units, the horizontal distance between C and D. From 4 to 5 is 1 unit, the vertical distance between C and D.
Using the Pythagorean Theorem (or the closely related distance formula), we find the distance between C and D as follows:
distance between C and D: sqrt(3^2 + 1^2) = sqrt(10)
Identify the CRITICAL VALUES(S) used in a hypothesis test of the following claim and sample data:
Claim: "The proportion of defective tablets manufactured in this factory is less than 6%."
A random sample of 500 tablets from this factory is selected, and it is found that 20 of them were defective. Test the claim at the 0.05 significance level.
a. -1.883
b. -1.645
c. -1.96
d. -0.102
Answer:
-1.96
Step-by-step explanation:
Significance level or alpha level is the probability of rejecting the null hypothesis when null hypothesis is true. It is considered as a probability of making a wrong decision. It is a statistical test which determines probability of type I error. If the obtained probability is equal of less than critical probability value then reject the null hypothesis. In this question the sample of 500 defective tablets is under test. 20 tablets found to be defective so the null hypothesis is accepted as less than 6% of tablets are defective.
What is the vertex, domain and the range? PLEASE HELP I’m really stuck!
Answer:The vertex, or turning point, is at (1, 4). From the graph, you can see that f(x) ≤ 4. Answer. The domain is all real numbers, and the range is all real numbers f(x) such that f(x) ≤ 4.
Step-by-step explanation:
I really hope this helped! :)
The simple interest on a sum of money invested at 5% per annum for 3 years was $90. The sum of money invested was
Answer:
Sum of money = $600
Step-by-step explanation:
X = sum of money
Simple interest means that its the same percentage of interest for a given number of years.
The interest per annum is 5% for 3 years, so 5% x 3 = 15%
15% = 0.15 (as a decimal)
Now, we can put this into an equation:
0.15x = 90
x = 90 / 0.15
x = 600.
sum of money invested = $600
Please answer this correctly without making mistakes
Answer:
14.3 km
Step-by-step explanation:
Using the paths shown, we would need to add the path length from Belmont to Yardley and Yardley to Oxford. When we add 8.5 and 5.8, we get 14.3 km.
Hence,
the distance from Belmont to Oxford is 14.3 km.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes. This system of equations models the situation. x + y =125 5x + 8y = 775
Answer:
[tex] x+y = 125[/tex] (1)
[tex] 5x+8y = 775[/tex] (2)
We can solve for y from equation (1) and we got:
[tex] y = 125-x[/tex] (3)
And replacing (3) into (2) we got:
[tex] 5x +8(125-x) = 775[/tex]
And solving for x we got:
[tex] 1000-3x = 775[/tex]
[tex] 3x= 225[/tex]
[tex] x=75 [/tex]
And solving for y from (3) we got:
[tex] x= 125-75 =50[/tex]
And the solution would be x = 50 and y =75
Step-by-step explanation:
For this problem we have the following system of equations:
[tex] x+y = 125[/tex] (1)
[tex] 5x+8y = 775[/tex] (2)
We can solve for y from equation (1) and we got:
[tex] y = 125-x[/tex] (3)
And replacing (3) into (2) we got:
[tex] 5x +8(125-x) = 775[/tex]
And solving for x we got:
[tex] 1000-3x = 775[/tex]
[tex] 3x= 225[/tex]
[tex] x=75 [/tex]
And solving for y from (3) we got:
[tex] x= 125-75 =50[/tex]
And the solution would be x = 50 and y =75
solve the inquality 1/2*<10
Answer:
[tex]\boxed{x<20}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2} x<10[/tex]
Multiply both sides by 2.
[tex]x<20[/tex]
Solve the system for x. x+y+z=5 2x-y-z=-2 2x=10
Answer:
x = 1.
Step-by-step explanation:
x + y + z = 5
2x - y - z = -2
3x = 3
x = 1
Hope this helps!
You have 50 each of the following kinds of jellybeans: red, orange, green, yellow. The jellybeans of each color are identical. How many different handfuls of 12 jellybeans are possible?
Answer:
There are 455 different handfuls of 12 jellybeans possible
Step-by-step explanation:
From the given information;
we are told that there exist 50 kinds of jellybean for each of these colors (red, orange, green, yellow)
Also the jellybeans of each color are identical.
i.e Let say y represent the color of the jellybean.
Then y₁ = y₂ = y₃ = y₄ corresponds to each of these colors (red, orange, green, yellow)
The objective is to determine how many different handfuls of 12 jellybeans are possible?
So;
y₁ + y₂ + y₃ + y₄ = 12
Therefore; the number of different handfuls of 12 jellybean possible can be computed by using the formula:
[tex]C(r+k-1,r) = \dfrac{(r+k-1)!}{r! (k-1)!}[/tex]
where;
r =12 jellybeans
k = 4 types of colors
[tex]C(12+4-1,4) = \dfrac{(12+4-1)!}{12! (4-1)!}[/tex]
[tex]C(15,4) = \dfrac{15!}{12! (3)!}[/tex]
[tex]C(15,4) = \dfrac{15\times 14 \times 13 \times 12!}{12! (3)!}[/tex]
[tex]C(15,4) = \dfrac{15\times 14 \times 13 }{3!}[/tex]
[tex]C(15,4) = \dfrac{15\times 14 \times 13 }{3 \times 2 \times 1}[/tex]
[tex]C(15,4) =5\times 7 \times 13[/tex]
[tex]C(15,4) =455[/tex]
There are 455 different handfuls of 12 jellybeans possible
There are [tex]455[/tex] different handfuls of [tex]12[/tex] jellybeans that are possible.
Probability:
Probability is termed as the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen. The probability formula is determined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.
Given information are:
There are exist of [tex]50[/tex] kinds of jellybean of different colors i.e. red, orange, green, yellow.
The jellybeans of each color are identical.
i.e Let say [tex]y[/tex] represent the color of the jellybean.
Then [tex]y_1=y_2=y_3=y_4[/tex] corresponds to each of these colors (red, orange, green, yellow)
So,
[tex]y_1+y_2+y_3+y_4=12[/tex]
Therefore, the number of different handfuls of [tex]12[/tex] jellybean possible can be computed by using the formula:
[tex]C\left ( r+k-1,r \right )=\frac{\left (r+k-1 \right )!}{r!\left ( k-1 \right )!}[/tex]
where,
[tex]r=12[/tex] jellybeans
[tex]k=4[/tex] types of colors
[tex]C\left ( 12+4-1,4 \right )=\frac{\left (12+4-1 \right )!}{12!\left ( 4-1 \right )!} \\ C(15,4)=\frac{15!}{12!(3)!} \\ C\left ( 15,4 \right )=\frac{15\times 14\times 13\times 12!}{12!(3!)} \\ C(15,4)=\frac{15\times 14\times 13}{3!} \\ C(15,4)=\frac{15\times 14\times 13}{3\times2\times1} \\ C(15,4)=5\times7\times13 \\ C(15,4)=455[/tex]
So, the possibility are [tex]455[/tex] different handfuls of [tex]12[/tex] jellybeans.
Learn more about the topic Probability: https://brainly.com/question/26571971
When 394 Beach Boys fans were surveyed, 113 said that California girls was their fav song. Find a point estimate for the true proportion of BB fans who favor that song??
1. 0.713
2. 113
3. 0.287
4. 0.95
5. None of the above
Answer: 3. 0.287
Step-by-step explanation:
Let p be the true proportion of BB fans who favor that song.
As per given, Sample size for survey of Beach Boys fans = 394
Number of Beach Boys fans said that California girls was their fav song = 113
Then, the sample proportion of BB fans who favor that song: [tex]\hat{p}=\dfrac{113}{394}[/tex]
[tex]=0.286802030457\approx0.287[/tex]
Since sample proportion is the best estimate for the true proportion.
Hence, a point estimate for the true proportion of BB fans who favor that song is 0.287.
So, the correct option is 3. 0.287 .
Part A Each time you press F9 on your keyboard, you see an alternate life for Jacob, with his status for each age range shown as either alive or dead. If the dead were first to appear for the age range of 75 to 76, for example, this would mean that Jacob died between the ages of 75 and 76, or that he lived to be 75 years old. Press F9 on your keyboard five times and see how long Jacob lives in each of his alternate lives. How long did Jacob live each time? Part B The rest of the potential clients are similar to Jacob, but since they’ve already lived parts of their lives, their status will always be alive for the age ranges that they’ve already lived. For example, Carol is 44 years old, so no matter how many times you press F9 on your keyboard, Carol’s status will always be alive for all the age ranges up to 43–44. Starting with the age range of 44–45, however, there is the possibility that Carol’s status will be dead. Press F9 on your keyboard five more times and see how long Carol lives in each of her alternate lives. Remember that she will always live to be at least 44 years old, since she is already 44 years old. How long did Carol live each time? Part C Now you will find the percent survival of each of your eight clients to the end of his or her policy using the simulation in the spreadsheet. For each potential client, you will see whether he or she would be alive at the end of his or her policy. The cells in the spreadsheet that you should look at to determine this are highlighted in yellow. Next, go to the worksheet labeled Task 2b and record either alive or dead for the first trial. Once you do this, the All column will say yes if all the clients were alive at the end of their policies or no if all the clients were not alive at the end of their policies. Were all the clients alive at the end of their policies in the first trial? Part D Next, go back to the Task 2a worksheet, press F9, and repeat this process until you have recorded 20 trials in the Task 2b worksheet. In the Percent Survived row at the bottom of the table on the Task 2b worksheet, it will show the percentage of times each client survived to the end of his or her policy, and it will also show the percentage of times that all of the clients survived to the end of their respective policies. Check to see whether these percentages are in line with the probabilities that you calculated in questions 1 through 9 in Task 1. Now save your spreadsheet and submit it to your teacher using the drop box. Are your probabilities from the simulation close to the probabilities you originally calculated?
Step-by-step explanation:
brain list me please......
Answer:
Jacob:
Alive 69-70
alive 79-80
alive 62-63
alive 73-74
alive 78-Died 79
Carol:
alive 88-89
alive 67-68
alive 99-100
alive 73-74
alive 94- Died 95
Step-by-step explanation:
What is the value of s in the equation 3 r equals 10 plus 5 s, when r equals 10? 4 8 100 200
Answer
4Step-by-step explanation:
Given,
r = 10
Let's create an equation,
[tex]3r = 10 + 5s[/tex]
plugging the value of r
[tex]3 \times 10 = 10 + 5s[/tex]
Multiply the numbers
[tex]30 = 10 + 5s[/tex]
Move 5s to L.H.S and change its sign
Similarly, Move 30 to R.H.S and change its sign.
[tex] - 5s = 10 - 30[/tex]
Calculate
[tex] - 5s = - 20[/tex]
The difference sign ( - ) should be cancelled on both sides
[tex]5s = 20[/tex]
Divide both sides of the equation by 5
[tex] \frac{5s}{2} = \frac{20}{5} [/tex]
Calculate
[tex]s = 4[/tex]
The value of s is 4.
Hope this helps..
Best regards!!
Answer:
A. 4 (on edgenuity)
Step-by-step explanation:
a scale drawing of a rectangular playground has a length of 20 inches and a width of 10 inches as shown below. the scale is 1 inch = 4 feet. what is the area of the actual playground? *
Answer:
3,200 ft²
Step-by-step explanation:
first you want to convert the sides from inches to feet so 20* 4= 80, and 10* 4= 40 then you multiply the sides to get the area which is 80*40= 3,200 ft²
consider the distribution of monthly social security (OASDI) payments. Assume a normal distribution with a standard deviation of $116. if one-fourth of payments are above $1214,87 what is the mean monthly payment?
Answer:
[tex]\mu = x - z(\sigma)[/tex]
[tex]\mu = 1214.87 - 0.67(116) \\\\\mu = 1214.87 - 77.72 \\\\\mu = \$1137.15[/tex]
Therefore, the mean monthly payment is $1137.15.
Step-by-step explanation:
What is Normal Distribution?
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
We are asked to find the mean monthly social security (OASDI) payment.
Mean monthly payment = μ = ?
We are given that the standard deviation is $116
One-fourth of payments are above $1214.87
One-fourth means 25%
[tex]P(X > x )= P(Z > z ) = 0.25\\\\P(X < x )= P(Z < z) = 1 - 0.25\\\\P(X < x )= P(Z < z) = 0.75\\\\[/tex]
From the z-table, the z-score corresponding to 0.75 is found to be 0.67
[tex]z = 0.67[/tex]
The mean is found by
[tex]x = \mu + z(\sigma)[/tex]
[tex]\mu = x - z(\sigma)[/tex]
Where
x = $1214.87
z = 0.67
σ = $116
[tex]\mu = 1214.87 - 0.67(116) \\\\\mu = 1214.87 - 77.72 \\\\\mu = \$1137.15[/tex]
Therefore, the mean monthly payment is $1137.15.
Which of the following best describes so ?
A.
Center
B.
Radius
C.
Diameter
D.
Chord
Step-by-step explanation:
D.
chord
hope you like this
stay at home stay safe
Answer: d
Step-by-step explanation:
please help it's Factorisation with Numbers
Answer:
C.
6a + 18x + 18p
Step-by-step explanation:
3(2a + 6 (x + p)) firs multiply (x + p) with 6
3 (2a + 6x + 6z) now multiply inside the parenthesis with 3 and the answer would be 6a + 18x + 18p
Recall the scenario about Eric's weekly wages in the lesson practice section. Eric's boss have been very impressed with his work. He has given him a $2 raise and now Eric earns $12 an hour. His boss also has increased Eric's hours to 10 to 25 hours per week. The restrictions remain the same; he needs to work a full-hour in order to get the hourly wage working 1.5 hour does not pay him for 1.5 hours but for one hour. Tasks: Consider the scenario and restrictions and interpret the work hour and potential earning relation as a function. Express the relation in the following formats: 1. Function equation 2. Domain of the function in the set notation (Would domain (work hours) be infinite?(write the domain in the set notation) 3. Range of the function in the set notation (Would the range (weekly wage) be infinite(write the range in the set notation) 4. Sketch the function and plot the points for his earnings.
Answer:
[tex]1)\quad f(x)=\bigg\{\begin{array}{ll}12x&0\leq x <9\\18x-48&9\leq x \leq 24\end{array}[/tex]
2) D: x = [0, 24]
3) R: y = [0, 384]
4) see graph
Step-by-step explanation:
Eric's regular wage is $12 per hour for all hours less than 9 hours.
The minimum number of hours Eric can work each day is 0.
f(x) = 12x for 0 ≤ x < 9
Eric's overtime wage is $18 per hour for 9 hours and greater.
The maximum number of hours Eric can work each day is 24 (because there are only 24 hours in a day).
f(x) = 18(x - 8) + 12(8)
= 18x - 144 + 96
= 18x - 48 for 9 ≤ x ≤ 24
The daily wage where x represents the number of hours worked can be displayed in function format as follows:
[tex]f(x)=\bigg\{\begin{array}{ll}12x&0\leq x <9\\18x-48&9\leq x \leq 24\end{array}[/tex]
2) Domain represents the x-values (number of hours Eric can work).
The minimum hours he can work in one day is 0 and the maximum he can work in one day is 24.
D: 0 ≤ x ≤ 24 → D: x = [0, 24]
3) Range represents the y-values (wage Eric will earn).
Eric's wage depends on the number of hours he works. Use the Domain (given above) to find the wage.
The minimum hours he can work in one day is 0.
f(x) = 12x
f(0) = 12(0)
= 0
The maximum hours he can work in one day is 24 (although unlikely, it is theoretically possible).
f(x) = 18x - 48
f(24) = 18(24) - 48
= 432 - 48
= 384
D: 0 ≤ y ≤ 384 → D: x = [0, 384]
4) see graph.
Notice that there is an open dot at x = 9 for f(x) = 12x
and a closed dot at x = 9 for f(x) = 18x - 48
For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, is the level of significance, p is the sample proportion, and n is the sample size.
Claim: p >=0.28; α:0.08. Sample statistics: p=0.20, n= 180
Required:
If a normal sampling distribution can be used, decide whether to reject or fail to reject the null hypothesis and interpret the decision.
Answer:
The Central Limit Theorem says that if the sample size is more than 30, the data follows a normal sampling distribution. Since the sample size is 180, and that is more than 30, a Normal sampling distribution can be used.
Since a normal sampling distribution can be used, we should FAIL TO REJECT the null hypothesis because p = 0.20, which is more than the significance level of α = 0.08. There is NOT sufficient evidence to suggest that the alternative hypothesis is true.
Hope this helps!
The population of Oak Forest is increasing at a rate of 4% per year. If the population is 74,145 today, what will it be in three years?
Answer:
83,403
Step-by-step explanation: Take 74,145 and multiply it by 4%. Then take that number and add it to the 74,145 and that'll give you year one. For year 2 you'll take your total from year 1 and multiply it by the 4% growth rate then you'll add the 4% to what your ending from year 1 and that'll give you your total growth after 2 years. Then you'll take your ending total from year 2 and multiply it by 4% and then you'll add that 4% to the total end from year 2 and that'll give you your total growth of 4% every year for 3 consecutive years.
Hope this helps!
In the triangles, QR = DE and SR = FE. Triangles S Q R and F D E are shown. Angle S R Q is 62 degrees. Angle D E F is 50 degrees. Sides Q R and D E are congruent. Sides S R and F E are congruent. Which statement about the sides must be true? QS = DF DF < QS QS < DE SR = DE
Answer:
b
Step-by-step explanation:
The sides must be true DF < QS
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
ΔSQR and ΔFDE
QR = DE and SR = FE
∠SQR =62°, ∠DEF =50°
QR ≅ DE and SR ≅ FE
∵ ∠DEF > ∠SQR
So, side DF < QS
Hence, DF < QS
Learn more about of congruent triangles
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Ellie can edit an average of 160 pages of text in an 8 hour work day. What is her unit rate for the number of pages edited per hour?
[tex]\text{We need to find how many pages she can edit in 1 hour}\\\\\text{We know that she can average 160 edits in 8 hours}\\\\\text{With this data, we can find the unit rate}\\\\\text{To get the unit rate, we would divide 160 by 8. This will get us the pages}\\\text{per hour}\\\\160\div8=20\\\\\text{She can edit 20 pages per hour}\\\\\boxed{\text{20 pages}}[/tex]
What is the list price of an article that is subject to discounts of 334 %, 10%, and 2%
if the net price is $564.48?
what is the cross section if i Move the intersecting plane of a cylinder parallel to the verticle axis
Answer:
A horizontal cross-section is obtained when the plane that passes through the solid object is parallel to its base. On the other hand, a vertical cross section is found when the intersecting plane is perpendicular to the base of the solid. These are known as a parallel cross-section and perpendicular cross section.
Step-by-step explanation:
Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola. Equation 1: (x – 3)2 = y – 4 Equation 2: y = -x + b In order for Tom’s thinking to be correct, which qualifications must be met?
Answer:
b=7
Step-by-step explanation:
Answer:
b must equal 7 and a second solution to the system must be located at the point (2, 5).
Step-by-step explanation:
i got it right on the test
A record club has found that the marginal profit, Upper P prime (x ), in cents, is given by Upper P prime (x )equals negative 0.0008 x cubed plus 0.35 x squared plus 45.5 x for x less than or equals 400, where x is the number of members currently enrolled in the club. Approximate the total profit when 240 members are enrolled by computing the sum
Answer:
The total profit when 240 members are enrolled is:
3,587,212.8 cents
Step-by-step explanation:
First of all, the total profit function is gotten by integrating the marginal profit function.
Integrate thus:
Total Profit = P(x) = [-0.0008x^4 ÷ 4] + [0.35x^3 ÷ 3] + [45.5x^2 ÷ 2]
P(x) = 0.0002x^4 + 0.1167x^3 + 22.75x^2
Next, substitute 240 for x, in the total profit function.
P(x) = 0.0002[240]^4 + 0.1167[240]^3 + 22.75[240]^2
P(x) = 663552 + 1613260.8 + 1310400
P(x) = 3,587,212.8 cents
Equivalent to $35,872.128