Answer: Mulan= Shan yu
Kuzko= Yzma
Hercules= hades
Step-by-step explanation:
Write a linear function f with f(-9) = 10 and f(-1)=-2
The linear function f is y = f(x) = (-3/2)x+b, with f(-9) = 10 and f(-1)=-2.
What is slope?The value of the steepness or the direction of a line in a coordinate plane is known as the slope of a line, often known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of techniques.
The formula for slope between two points (x₁, y₁) and (x₂, y₂) is,
m = (y₂ - y₁)/(x₂ - x₁)
The given values are,
f(-9) = 10 and f(-1) = -2.
The given coordinates are (-9, 10) and (-1, -2)
Let the linear function is,
y= mx+b (1)
To find the linear function,
Find the slope
m = -2 - 10 / -1 - (-9)
m = -12 / 8
m = -3 / 2.
Substitute the value of m in equation (1),
y=(-3/2)x+b
To find the value of b, substitute y = -2,
-2=(-3/2)(-1)+b
b=-7/2
The required linear function is,
y=(-3/2)x -7/2
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If you dissolve 50g of sugar in 30g of water, what is the sugar concentration?
Answer: 62.5% water
100 * 50 / (50 + 30) = 100 times, then you do 50/80 and you get 62.5.
Answer:
62.5% or 62.5
Step-by-step explanation:
;)
The total weekly revenue (in dollars) of the Country Workshop realized in manufacturing and selling its rolltop desks is given by the following equation, where x denotes the number of finished units and y denotes the number of unfinished units manufactured and sold each week.
R(x, y) = -0.25x2 - 0.2y2 - 0.2xy + 200x + 160y
The total weekly cost attributable to the manufacture of these desks is given by the following equation, where
C(x, y) is in dollars.
C(x, y) = 110x + 60y + 3600
Determine how many finished units and how many unfinished units the company should manufacture each week in order to maximize its profit.
finished units
unfinished units
What is the maximum profit realizable?
$
To maximize its profit, the company should manufacture 320 finished units and 200 unfinished units each week. The maximum profit achievable is $24,080.
To determine the number of finished units and unfinished units that the company should manufacture each week in order to maximize profit, we need to optimize the objective function. In this case, the objective is to maximize profit, which is given by the difference between revenue and cost.
The profit function, P(x, y), can be obtained by subtracting the cost function, C(x, y), from the revenue function, R(x, y):
P(x, y) = R(x, y) - C(x, y)
Substituting the given revenue and cost functions into the profit function, we have:
P(x, y) = (-0.25x^2 - 0.2y^2 - 0.2xy + 200x + 160y) - (110x + 60y + 3600)
Simplifying, we get:
P(x, y) = -0.25x^2 - 0.2y^2 - 0.2xy + 200x + 160y - 110x - 60y - 3600
Next, we can differentiate the profit function with respect to x and y, and set the resulting equations equal to zero to find the critical points. Solving these equations, we obtain:
dP/dx = -0.5x - 0.2y + 200 - 110 = 0
dP/dy = -0.4y - 0.2x + 160 - 60 = 0
Simplifying these equations, we find:
-0.5x - 0.2y + 90 = 0 ...(1)
-0.2x - 0.4y + 100 = 0 ...(2)
By solving equations (1) and (2) simultaneously, we find the values of x and y:
x = 320
y = 200
Therefore, the company should manufacture 320 finished units and 200 unfinished units each week to maximize profit. To calculate the maximum profit, we substitute these values back into the profit function:
P(320, 200) = (-0.25 * 320^2 - 0.2 * 200^2 - 0.2 * 320 * 200 + 200 * 320 + 160 * 200) - (110 * 320 + 60 * 200 + 3600)
Calculate this expression, we find that the maximum profit achievable is $24,080.
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A public Interest group conducts a poll of 750 Randomly selected American households and finds that 67% of those surveyed have at least one dog.
a) construct and interpret a 90% confidence interval for the proportion of all American households who have at least one dog.
b) Explain what is meant by 90% confidence in this context
a. The 90% confidence interval for the proportion of all American households who have at least one dog is (0.636, 0.704). This means we can be 90% confident that the true proportion of all American households who have at least one dog lies within this range.
b. The 90% confidence means that if we were to repeat this poll many times with different samples of American households, we would expect 90% of the resulting confidence intervals to contain the true proportion of all American households who have at least one dog
a) To construct a 90% confidence interval for the proportion of all American households who have at least one dog, we can use the following formula:
CI = p ± zsqrt((p(1-p))/n)
where:
CI is the confidence interval
p is the sample proportion (67% or 0.67 in decimal form)
z is the z-score corresponding to the level of confidence (90% or 1.645 for a one-tailed test)
n is the sample size (750)
Plugging in the values, we get:
CI = 0.67 ± 1.645sqrt((0.67(1-0.67))/750)
CI = 0.67 ± 0.034
Therefore, the 90% confidence interval for the proportion of all American households who have at least one dog is (0.636, 0.704). This means we can be 90% confident that the true proportion of all American households who have at least one dog lies within this range.
b) In this context, 90% confidence means that if we were to repeat this poll many times with different samples of American households, we would expect 90% of the resulting confidence intervals to contain the true proportion of all American households who have at least one dog.
In other words, we can be reasonably sure that our sample proportion of 67% is a good estimate of the true proportion, with a margin of error of about 3.4 percentage points, based on the sample size and the level of confidence we have chosen.
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Natalie went to store A and bought 3 4/5 pounds of pistachios for $17. 75. Nicholas went to a store B and brought 4 7/10 pounds of pistachios for $ 19.50.
Natalie bought pistachios at a lower price per pound compared to Nicholas.
To compare the prices of pistachios at store A and store B, we need to calculate the price per pound for each store based on the given information.
Natalie's purchase at store A:
Weight of pistachios = 3 4/5 pounds
Cost of pistachios = $17.75
To calculate the price per pound at store A, we divide the total cost by the weight:
Price per pound at store A = $17.75 / (3 4/5) pounds.
To simplify the calculation, we can convert the mixed fraction 3 4/5 to an improper fraction:
3 4/5 = (3 \(\times\) 5 + 4) / 5 = 19/5
Substituting the values, we have:
Price per pound at store A = $17.75 / (19/5) pounds
Price per pound at store A = $17.75 \(\times\) (5/19) per pound
Price per pound at store A = $3.947 per pound (rounded to three decimal places).
Nicholas's purchase at store B:
Weight of pistachios = 4 7/10 pounds
Cost of pistachios = $19.50
To calculate the price per pound at store B, we divide the total cost by the weight:
Price per pound at store B = $19.50 / (4 7/10) pounds
Converting the mixed fraction 4 7/10 to an improper fraction:
4 7/10 = (4 \(\times\) 10 + 7) / 10 = 47/10
Substituting the values, we have:
Price per pound at store B = $19.50 / (47/10) pounds
Price per pound at store B = $19.50 \(\times\) (10/47) per pound
Price per pound at store B = $4.149 per pound (rounded to three decimal places).
Comparing the prices per pound, we find that the price per pound at store A ($3.947) is lower than the price per pound at store B ($4.149).
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Write the slope intercept form of the equation of each line given the slope Y- intercept. Slope =9, y- intercept = -5.
Please help me
Answer:
y = 9x - 5
Step-by-step explanation:
Slope Intercept Form: y = mx + b
( m = slope and b = y-intercept form )
See Picture below. Thanks
Answer:
The angle of DGC is 90 degrees
the value of x is positive 8
Step-by-step explanation:
xoxo brooke
(2y^3-5y^2-4)-(4y^3+11y^2-3y+5)
ratio analysis can be made more meaningful in all the following ways except by?
Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.
Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.
In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.
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The full question:
ratio analysis can be made more meaningful in all the following ways except by?
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
b.) 8/7≈ 1.1
Final.) and then using the exponential decay formula, 18.1 will be left after
the graph below shows the growth of three samples of the different bacteria on petri dishes incubated over 24 hours as temperature was increased 10 degrees every eight hours: graph of bacteria counts at different temperatures shows 5 bacteria per cm squared at 20, 30 and 40 degrees celsius for sample 1; shows 2 bacteria per cm squared at 20, 4 bacteria per cm squared at 30 degrees celsius, and 7 bacteria per cm squared for at 40 degrees celsius for sample 2; shows 3 bacteria per cm squared at 20, 8 bacteria per cm squared at 30 degrees celsius, and 12 bacteria per cm squared for at 40 degrees celsius sample 3. which statement best explains the data trend observed in the bacteria samples?
The correct answer is option b) Bacteria in samples 2 and 3 mutated quickly to adjust to temperature change.
From the given graph it is seen that sample 1 is not showing any growth or decline despite of the temperature change. One cannot ascertain its gene expression. On the other hand, Sample 2 shows a slight change from 4cm² to 7cm² bacteria count and Sample 3 shows a wide change as per temperature change from 8cm² to 12cm². Hence it can be said that samples 2 and 3 mutated to adjust to the temperature compared to sample 1 which showed no changes.
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Complete Question
the graph below shows the growth of three samples of the different bacteria on Petri dishes incubated over 24 hours as the temperature was increased 10 degrees every eight hours: (Graph in the figure attachment) which statement best explains the data trend observed in the bacteria samples?
a) All bacteria samples grow better at higher temperatures.
b) Bacteria in samples 2 and 3 mutated quickly to adjust to temperature change.
c) Temperature changes do not affect gene expression for growth in sample 1.
d) Bacteria in sample 1 will eventually die out at higher temperatures.
Is an R-squared value of 0.6 good?
Although there are other factors to take into account, a model is worth your attention if its R-Squared is more than 0.6: R-squared values lower than 0.5 are normal for any science that tries to predict human behavior, such as psychology.
What is R-squared values?There are multiple phases involved in the actual R-squared computation. Finding the line of best fit, frequently from a regression model, entails taking the data points (observations) of dependent and independent variables.
Predicted values would then be calculated, actual values would be subtracted, and the results would be squared.
You would deduct the average actual value from each of the actual values, square the findings, and add them to determine the overall variance.
The R-squared is obtained by dividing the first sum of mistakes (unexplained variance) by the second sum (total variance) and deducting the result from one.
Hence, Although there are other factors to take into account, a model is worth your attention if its R-Squared is more than 0.6: R-squared values lower than 0.5 are normal for any science that tries to predict human behavior, such as psychology.
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If you help me I will give you 100 brainly points !!
Val is a runner in a 5-kilometer outdoor race that consists of a 0.25-kilometer sprint, a stream crossing part, and two obstacle parts. Each obstacle part of the race is 1.3 kilometers. How long is the stream part of the race?
Answer:
Stream is 2.15 kilometers of the race.
Step-by-step explanation:
If the two obstacles are 1.3 kilometers each, and the sprint is 0.25 kilometers of the race, we simply have to add these together and subtract from the total distance of 5 kilometers. 1.3+1.3+0.25 is 2.85 kilometers. 5-2.85=2.15.
Answer:
2.15 km
Step-by-step explanation:
The obstacle parts of the race are 2*1.3 = 2.6 kilometers long.
The total length of the race is 5 kilometers.
The stream part of the race is 5-0.25 - 2.6 = 2.15 kilometers long.
So the answer is 2.15 km
PLEASE HELP ME WITH MATH
the question is simplify.
Answer:
2s^6x/n²
This is it.
A pencil costs $p$ dollars and an eraser costs $e$ dollars. Mark buys $3$ more pencils than erasers, and he buys $7$ pencils. Write an expression that represents the amount of money that Mark spent, in dollars.
Answer:
7p + 4e
Step-by-step explanation:
If Mark bought 7 pencils, and three more pencils than erasers, then he bought 4 erasers (7 - 3 = 4) . If each pencil costs p dollars and each eraser costs e dollars, the total amount of money spent by Mark (M) is given by:
\(M=7*p+4*e\)
The expression is M = 7p + 4e.
Answer:
\($\boxed{7p+4e}$\)
Step-by-step explanation:
Mark buys 7 pencils, and a pencil costs p dollars, so the total cost of all of the pencils is 7p dollars. He buys 3 more pencils than erasers, so he buys 4 erasers. Each eraser costs e dollars, so the total cost of all the erasers is 4e dollars. Thus, Mark spent \($\boxed{7p+4e}$\) dollars in total.
Hope this helped! :)
A chemist has three different acid solutions,
The first solution contains 20 % acid, the second contains 35 % acid, and the third contains 55%
acid.
She created 108 liters of a 40 % acid mixture, using all three solutions. The number of liters of
55 % solution used is 3 times the number of liters of 35 % solution used.
How many liters of each solution was used?
The chemist used
liters of 20% solution,
liters of 35 % solution, and
liters of 55 % solution.
Question Help: Message
instructor
Calculator
9514 1404 393
Answer:
36 liters of 20%18 liters of 35%54 liters of 55%Step-by-step explanation:
Let a, b, c represent the quantities of 20%, 35%, and 55% solutions, respectively. Then for the given mix, we have ...
a + b + c = 108 . . . . . total number of liters
.20a +.35b +.55c = 0.40·108 . . . . . liters of acid
0a - 3b + c = 0 . . . . . 55% solution was 3 times 35% solution
__
Solving these three equations by your favorite method gives ...
(a, b, c) = (36, 18, 54)
The chemist used 36 liters of 20%, 18 liters of 35%, and 54 liters of 55%.
_____
Comment on alternate approach
Since the ratio of 55% to 35% is 3 : 1, that mix will have an acid content of ...
(3(.55) +1(.35))/4 = 0.50 = 50%
So, the final mix is equivalent to some quantity of 50% mix being added to some quantity of 20% mix. The fraction that is 50% mix* will be (40-20)/(50-20) = 2/3 of the total, or (2/3)(108 L) = 72 L.
Now we know that (1/3)(108 L) = 36 L of 20% solution is needed and (1/4)(72 L) = 18 L of 35% solution is needed. 3 times that is 54 L of 55% solution.
__
* After you work a few mixture problems, you can see the pattern. If we start with an equation for x = fraction of 50% to use with 20% to make 40%, we get ...
x(50%) +(1 -x)(20%) = 40%
x(50% -20%) = 40% -20% . . . . . subtract 1(20%) and factor out x
x = (40% -20%)/(50% -20%)
The key here is to see where the numbers 20%, 40%, and 50% show up in the fraction.
SOMEONE HELP ME I NEED HELP!
Answer:
its 1%
Step-by-step explanation:
Movies went on sale for $4 off the original price . Jacob bought 3 movies . He paid $24 . What was the original price of a movie?
Complete the sentences to show how to write and solve an equation to answer this question
Define a variable. Let x=_______
The equation that models the problem is ______
To solve the equation first _____ next _________.
a) The variable x is the original price of a movie.
b) The equation that models the problem is x = 8 + 4.
c) To solve the equation, first find the discounted price per movie by dividing the total payment by 3. Next add the discount per movie to the discounted price paid.
What is an equation?An equation is a mathematical statement of the equality or equivalence of two algebraic expressions.
Mathematical expressions are formed using variables, values, constants, and numbers with mathematical operands but without the equal sign (=).
Discount per movie = $4
The number of movies Jacob bought = 3
The amount Jacob paid for 3 movies = $24
The discounted price paid per movie = $8 ($24/8)
The original price of a movie = $12 ($8 + $4)
Let the original price of a movie = x
x = unit price paid + discount
x = 8 + 4
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ANSWER ASAPPPP ‼️‼️‼️
ANSWER PICTURE!!!!!!!
Answer:
1/2
Step-by-step explanation:
see attached picture.
suppose that you want to investigate the factors that potentially affect cooked rice. (a) what would you use as a response variable in this experiment? how would you measure the response?
I would use weight of the rice after it has been fully cooked as a response variable.
The response variable I would use would be weight of the rice after it has been fully cooked. Different studies have depicted that when different types of rice are cooked, they absorb the water and the ingredients in which they are being cooked, and they concluded having different weights after being fully cooked. So, the suitable response variable would be the final weight of the rice after they are fully cooked. This response can be measured by comparing it to the initial weight of rice before cooking.
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Chad is entering a rocket competition. He needs to program his rocket so that when it is launched from the ground, it lands 20 feet away. In order to qualify, it must be 100 feet off the ground at its highest point. What equation should he program into his rocket launcher to win? Let x represent the distance from the launch pad in feet and y represent the height of the rocket in feet. Draw a sketch of the rocket’s path.
The equation Chad should program is \(y = -0.04x^2 + 20x.\)
What equation should Chad program into his rocket launcher?The equation that Chad should program into his rocket launcher to win is:
\(y = -0.04x^2 + 8x\)
This is a quadratic equation in standard form, where the coefficient of x^2 is negative, indicating that the path of the rocket is a downward facing parabola. The coefficient of x^2 is -0.04, which means that the parabola is relatively flat, ensuring that the rocket will travel a horizontal distance of 20 feet when it reaches a height of 100 feet.
To sketch the rocket’s path, we can plot points on the graph of the equation. For example, when x = 0, y = 0, so the rocket starts at the origin. When x = 50, y = 200, so the rocket reaches its maximum height at x = 50 and y = 100. When x = 100, y = 0, so the rocket lands 20 feet away from the launch pad at ground level. We can connect these points to sketch the path of the rocket.
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In Aunt Melly's attics there are also spiders and ants, the total of 136 legs and 20 heads. If a spider has 8 legs and an ant has 6 legs, how many spiders and how many ants are there?
Answer:
Spiders=8
Ants=12
Step-by-step explanation:
Spider(s)=8 legs
Ants(a)=6 legs
Total legs=136
Total heads=20
8s+6a=136 (1)
s+a=20 (2)
From (2)
s=20-a
Substitute 20-a into (1)
8s+6a=136
8(20-a)+6a=136
160-8a+6a=136
160-2a=136
-2a=136-160
-2a=-24
a= -24/-2
a=12
Substitute a=12 into (2)
s+a=20
s+12=20
s=20-12
s=8
What is the answer????please helpp
For a fundraiser, a group plans to sell granola bars and bottles of water at the same prices as described in Part A. The group wants the income from the fundraiser to be at least $150.Choose the inequality to show the number of granola bars x and the number of bottles of water y that must be sold.A. 1.4x + 0.75 y > 150B. 1.4x + 0.75y ≥ 150C. 1.4x + 0.75 < 150D. 1.4x + 0.75 ≤ 150
The group needs to sell at least 104 granola bars and any number of bottles of water in order to make a profit of at least $150.
The correct inequality is B. 1.4x + 0.75y ≥ 150. This inequality states that the group must sell at least $150 worth of items in order to make a profit. The cost of a granola bar is $1.40, and the cost of a bottle of water is $0.75. Therefore, the total cost of the items must be greater than or equal to $150. The formula for this inequality is 1.4x + 0.75y ≥ 150, where x represents the number of granola bars sold and y represents the number of bottles of water sold.
To solve this inequality, we can first multiply both sides of the inequality by 100. This will give us 140x + 75y ≥ 15000. Next, we can subtract 75y from both sides to get 140x ≥ 14250. Finally, we can divide both sides of the equation by 140 to get x ≥ 102.86. This means that the group needs to sell at least 103 granola bars in order to make a profit of at least $150. This can be further simplified by rounding up the granola bars sold to 104. Therefore, the group needs to sell at least 104 granola bars and any number of bottles of water in order to make a profit of at least $150.
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How big should the spacing h be so that the computation of Le e dr by trapezoidal rule will be correct to five decimal places.
We can rearrange the error bound formula to solve for h: h ≤ sqrt((12 * Error) / (L * M)).
To determine the spacing h required for the computation of an integral using the trapezoidal rule to be correct to five decimal places, we need to consider the error bound of the trapezoidal rule.
The error bound for the trapezoidal rule is given by the formula:
Error ≤ (b - a) * (h^2) * M / 12,
where:
- Error is the maximum error in the approximation,
- (b - a) is the interval of integration,
- h is the spacing between the points of evaluation,
- M is the maximum value of the second derivative of the function over the interval [a, b].
In this case, we want the error to be less than or equal to 0.00001 (five decimal places). Let's assume that (b - a) is denoted as L, and the maximum value of the second derivative of the function is denoted as M.
We can rearrange the error bound formula to solve for h:
h ≤ sqrt((12 * Error) / (L * M)).
Substituting the given values into the formula, we can determine the required spacing h.
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please solve this. brainliest for the right answer
Answer:
b) -12 , -8 , -4, 0
Step-by-step explanation:
-12 + 4(n - 1)
n means the term
place the values of 1, 2, 3 and 4
-12 + 4(1-1) = -12
-12 + 4(2-1) = -8
-12 + 4(3-1) = -4
-12 + 4(4-1) = 0
hence the answer is
b) -12 , -8 , -4, 0
26. Consider the irregular figure.
. 10 cm
14 cm
4 cm
4 cm
- 4 cm T
4 cm
- 16 cm
What is the area of the figure?
Write the answer in the box.
cm?
Answer:
10 cm
Step-by-step explanation:
im smart
Car Rollovers In a recent year in the United States, 83,600 passenger cars rolled over when they crashed, and 5,127,400 passenger cars did not roll over when they crashed. Find the probability that a randomly selected passenger car crash results in a rollover. Is it unlikely for a car to roll over in a crash?
The probability of a car rolling over in a crash is approximately 0.016, or 1.6%, indicating that it is unlikely for a car to roll over in a crash.
We have,
To find the probability that a randomly selected passenger car crash results in a rollover, we divide the number of rollovers by the total number of crashes:
Probability of a rollover = Number of rollovers / Total number of crashes
Probability of a rollover = 83,600 / (83,600 + 5,127,400) ≈ 0.016
The probability of a rollover is approximately 0.016, or 1.6%.
Since the probability is relatively low, it can be considered unlikely for a car to roll over in a crash.
Thus,
The probability of a car rolling over in a crash is approximately 0.016, or 1.6%, indicating that it is unlikely for a car to roll over in a crash.
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What the answer to this is ?
Answer:
a. median 1.5
Step-by-step explanation:
If you sort the numbers from least to greatest, the middle numbers are 1 and 2, so the median is the middle of those, 1.5. And the mean is 2.75, so it can't be the others.
sin theta + cos theta
cos theta (1-cos theta)
Given the initial expression sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ)), we simplified it to sin(θ) + cos²(θ) - cos³(θ).
Given the expression:
sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ))
Let's simplify this expression step by step:
1. First, recognize that cos(θ) * cos(θ) can be written as cos²(θ). So, the expression becomes:
sin(θ) + cos²(θ) * (1 - cos(θ))
2. Next, we'll distribute cos²(θ) to both terms inside the parentheses:
sin(θ) + cos²(θ) - cos³(θ)
At this point, we have simplified the expression as much as possible. The final expression is:
sin(θ) + cos²(θ) - cos³(θ)
In summary, given the initial expression sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ)), we simplified it to sin(θ) + cos²(θ) - cos³(θ). Remember that this is a general expression and its specific value depends on the angle θ.
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