Rewrite each expression such that the argument x is positive. a. cot(−x)cos(−x) sin(−x)

Answers

Answer 1

\(\cos(x)\) is an even function, while \(\sin(x)\) is odd. This means

\(\cos(-x) = \cos(x) \text{ and } \sin(-x) = -\sin(x)\)

\(\cot(x)\) is defined by

\(\cot(x) = \dfrac{\cos(x)}{\sin(x)}\)

so it is an odd function, since

\(\cot(-x) = \dfrac{\cos(-x)}{\sin(-x)} = \dfrac{\cos(x)}{-\sin(x)} = -\cot(x)\)

Putting everything together, it follows that

\(\cot(-x) \cos(-x) \sin(-x) = (-\cot(x)) \cos(x) (-\sin(x)) \\\\~~~~~~~~= \cot(x) \cos(x) \sin(x) \\\\ ~~~~~~~~= \cos^2(x)\)


Related Questions

Chau has ridden 22 miles of a bike course. The course is 44 miles long. What percentage of the course has Chau ridden so far?

Answers

Answer:50%

Step-by-step explanation:

50% brainliest pwease

Find the surface area of the composite figure.

Find the surface area of the composite figure.

Answers

Answer:

the answer is 488 of the composite figure is 488

RIGHT ANSWER GETS 10 POINTS
In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle.

A straight line is shown and is marked with three angles. The first angle measures 60 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 70 degree angle and angle y extends below the straight line. The angle formed is labeled angle x.

Write and solve an equation to determine the measure of angle x. (5 points)

Your answer:

Answers

The equation x + (60 + 70)° = 180° is used to solve for the measure of the vertical angle x = 50°

What are vertically opposite angles

Vertical angles also called vertically opposite angles are formed when two lines intersect each other, the opposite angles formed by these lines are vertically opposite angles and are equal to each other.

The angle y and x form vertical angles, so x = y

Angle y form a straight line with 60° and 70° so we have the equation to solve for x as:

x + 60° + 70° = 180° {sum of angles on a straight line}

x + 130° = 180°

x = 180° - 130° {subtract 139° from both sides}

x = 50°

Therefore, the measure of the vertical angle x is equal to 50° derived with the equation x + (60° + 70°) = 180°.

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Pleas answer part A!!!!!!

Pleas answer part A!!!!!!

Answers

Answer:

y=120x

Step-by-step explanation:

You can just divide all of the points (y/x) and they all equal to 120. And when you add it to the equation its y=120x

numbers that do not form a fact family

Answers

The numbers that do not form a fact family are solved

Given data ,

A fact family consists of a set of related addition and subtraction facts that use the same numbers. For example, the numbers 3, 5, and 8 form a fact family because:

3 + 5 = 8

5 + 3 = 8

8 - 5 = 3

8 - 3 = 5

Numbers that do not form a fact family are any set of numbers that do not follow this pattern. For example, the numbers 2, 4, and 7 do not form a fact family because no combination of addition and subtraction using these numbers produces the other two numbers.

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Consider the following expression and determine which statement are true.

Consider the following expression and determine which statement are true.

Answers

Answer:

A and B

Step-by-step explanation:

A is correct because the three terms are x², 5yz, and -8.

B is 100% correct I guarantee it.

C is incorrect because ² is not a coefficient.

D is incorrect because there are three factors in that multiplication term: 5, y, and z.

Work out the value of n

Work out the value of n

Answers

Answer: the answer would be -7/2

hope this helps :)

Find the total surface area of the
following cylinder:
r= 5 cm
5 cm
SA = [? ]ī cm2

Find the total surface area of thefollowing cylinder:r= 5 cm5 cmSA = [? ] cm2

Answers

Answer:

Surface area = 2πrh + 2πr^2

= (2 × 22/7 × 5 ×5 + 2×22/7×25)cm^2

= (1100/7+1100/7)cm^2

= 2200/7 = 314.28571) cm^2 (ans)

Hope it helps

Answer:

100 pi

Step-by-step explanation:

#17 pls help answer

4x + 22 > -2(14+3x)

#17 pls help answer 4x + 22 > -2(14+3x)

Answers

To solve this inequality, you can start by expanding the expression on the right side of the inequality:

4x + 22 > -2(14) -2(3x)
4x + 22 > -28 -6x

Next, you can combine like terms on the left and right side of the inequality:

10x + 22 > -28

Then, you can subtract 22 from both sides of the inequality:

10x > -50

Finally, you can divide both sides of the inequality by 10 to find the solution:

x > -5

Therefore, the solution to the inequality is x > -5.

\(4x+22~ > ~-2(14+3x)\implies 4x+22~ > ~-28-6x\implies 10x+22 > -28 \\\\\\ 10x > -50\implies x > \cfrac{-50}{10}\implies x > -5\)

Check the picture below.

#17 pls help answer 4x + 22 > -2(14+3x)

giving brainliest, 5 stars and a heart if you answer correctly

giving brainliest, 5 stars and a heart if you answer correctly

Answers

The answer to this problem is c -1/2
The answer is 2
First you have to turn the intercepts into y=mx+b form
you get y= -1/2x-2
to find the perpendicular line you have to flip the slope.
-1/2 flips to positive 2.

To solve -8p = 48, which of the following could you do to both sides of the equation? A. add -8 B. subtract -8 C. multiply by -8 D. divide by -8

Answers

Answer:

D. divide by -8

Step-by-step explanation:

what is the weight of a square if a triangle weighs 4 grams?
Explain your reasoning
HHH
0
8. 2x
C. 4x
D. 2x
E. 4x

Answers

Answer: i believe is c or d i not 100% sure

Together you and a friend have. $52. Your friend has $28. Write an equation you can use to find how much money you have.​

Answers

Answer:

28+X=52

Step-by-step explanation:

Answer:

52 - 28 = 24

Step-by-step explanation:

You and your friend have $52 and your friend has $28 of that $58. You have subtracted the total amount from the amount your friend has. That will find your answer.

52 - 28 = 24

You have $24.

Walter owns a small online business that makes and sells jewelry. The revenue function of Walter's small business can be shown by the function below, where x represents the number of days in business.
r(x)=x^{2}+10x-470
Which statement best describes the constant term?
A. a profit of $10 per jewelry piece sold
B. a daily profit of $470
C. a start-up cost of $470
D. a $10 cost of operation per day

Answers

Answer:

Step-by-step explanation:

This constant is a fixed cost of the start up.

C. A start-up cost of $470

plzzzzzz ans this quickly plzz

plzzzzzz ans this quickly plzz
plzzzzzz ans this quickly plzz
plzzzzzz ans this quickly plzz

Answers

Step-by-step explanation:

8.

Prime factorization of 48 is :

\(48=2\times 2 \times 2 \times 2 \times 3\\\\=2^4\times 3^1\)

Option (3) is true.

9.

Prime factorization of 19 is:

19 = 19 × 1

Option (c) is correct.

(10).

Prime factorization of 924 is:

924 = 2 x 2 x 3 x 7 x 11

= 2² x 3¹ x 7¹ x 11¹

Hence, this is the required solution.

Question 6 (4 points) Three people use the following procedure to divide a (perfectly divisible and homogenous) cake. Player 1 first divides the cake into two pieces. Next, player 2 selects one of the two pieces. Player 1 gets the other share, while player 2 must now divide the piece he or she picked. Finally, player 3 chooses one of the two pieces that player 2 just created, and player 2 consumes what remains. Suppose that each player cares only about the size of the piece of cake he or she ultimately obtains. Compute the subgame perfect Nash equilibrium (please provide complete strategies, not just the equilibrium payoffs).

Answers

The subgame perfect Nash equilibrium involves Player 1 receiving a piece that is no less than 1/4 of the original cake, Player 2 receiving a piece that is no less than 1/2 of the cake, and Player 3 receiving a piece that is no less than 1/4 of the cake. Player 2 obtains the largest piece at 1/2 of the cake, while Player 1 gets a share that is no less than 1/4 of the cake, which is larger than Player 3's share of the remaining cake.

The subgame perfect Nash equilibrium and complete strategies are as follows:

First subgame: Player 1 splits the cake into two pieces. Player 1 takes the smaller of the two pieces, while Player 2 takes the larger. Next, Player 2 divides the larger piece into two. Player 2 chooses the piece that is equal in size to the smaller piece of the initial division. Player 2 gives the other piece to Player 3, who must now select one of the two pieces. If Player 3 selects the smaller piece, Player 2 will obtain the larger of the two pieces that Player 2 divided, which is greater than or equal in size to the piece Player 2 gave to Player 3. As a result, Player 3 chooses the larger of the two pieces. Therefore, the subgame perfect Nash equilibrium involves Player 1 receiving a piece that is no less than 1/4 of the original cake, Player 2 receiving a piece that is no less than 1/2 of the cake, and Player 3 receiving a piece that is no less than 1/4 of the cake. Player 2 obtains the largest piece at 1/2 of the cake, while Player 1 gets a share that is no less than 1/4 of the cake, which is larger than Player 3's share of the remaining cake.

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The local high school is hosting an ice cream social for new students. they record the ice cream choices of the students throughout the event. what is the probability that a male student chooses chocolate ice cream? a. 6/23 b. 4/7 c. 3/7 d. 3/22

Answers

The probability that a male student chooses chocolate ice cream is 3/7.


Let's assume that there are a total of N ice cream choices, and M of those choices are made by male students.

Since we don't have the exact values for N and M, we can't determine the probability directly.

However, we can use the information given in the answer choices to determine the correct option.

Let's analyze the answer choices:

a. 6/23
b. 4/7
c. 3/7
d. 3/22

Based on these options, the most likely answer would be c. 3/7, as it is the only choice that represents a fraction between 0 and 1.

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Please select the correct Inverse Laplace, Thank you
-1 } = = 35+2 (S-1)(5-2) a. 5e2t - Set b. 3 sin t + 2e2t C. 8e2t - 5et 3t+2 d. (t-1)(-2) e. 3tet + 2e2t

Answers

The correct inverse Laplace transform for the given expression is option (e) 3tet + 2e2t.

The inverse Laplace transform is a mathematical operation that allows us to convert a function in the Laplace domain back to the time domain. In this case, we have to find the inverse Laplace transform of the given expression.

To solve this, we can use the properties and formulas of Laplace transforms:

The Laplace transform of e-at is 1/(s-a).

The Laplace transform of t^n is n!/(s^(n+1)).

Based on these formulas, the inverse Laplace transform of 3tet can be found as 3/(s-2)^2 and the inverse Laplace transform of 2e2t can be found as 2/(s-2).

Combining these two terms, we get the inverse Laplace transform of 3tet + 2e2t as 3/(s-2)^2 + 2/(s-2).

Finally, we need to convert this expression back to the time domain by taking the inverse Laplace transform of each term. Applying the inverse Laplace transform formulas, we obtain 3te2t + 2e2t as the final result.

Therefore, the correct answer is option (e) 3tet + 2e2t.

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Previous Problem List Next (2 points) Assume you are using a significance level of a = 0.05) to test the claim that μ< 16 and that your sample is a random sample of 45 values. Find the probability of

Answers

The probability of committing a Type I error in this scenario is 0.05 or 5%. The probability of committing a Type I error is equal to the significance level (α) chosen for the test.

To find the probability of committing a Type I error when testing the claim that μ < 16, with a significance level of α = 0.05 and a sample size of n = 45, we need to calculate the critical value or the z-score corresponding to the significance level.

Since the alternative hypothesis is μ < 16, this is a left-tailed test.

The critical value or z-score can be found using the standard normal distribution table or a statistical software. For a significance level of α = 0.05 (or 5%), the critical value corresponds to the z-score that leaves a probability of 0.05 in the left tail.

Using the standard normal distribution table, the critical z-score for a left-tailed test with a significance level of 0.05 is approximately -1.645.

The probability of committing a Type I error can be calculated as the probability of observing a test statistic (z-score) less than -1.645 when the null hypothesis is true. This probability is equal to the significance level (α).

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If AABC = ADEF, AB = 8, BC = 19, AC=14, EF = 4x-1, and DE=y-6, find the values of
x and y.

Answers

When given triangles are given then the value of x and y is 5 and 14 respectively.

When BC is similar to EF.

19= 4x-1

19+1=4x

20=4x

x=5

When DE is similar to AB

y-6 =8

y=8+6

y=14

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

A pair of triangles are said to be similar if two pairs of corresponding angles in those triangles are congruent. We can conclude that the third pair must also be equal if the first two angle pairs are. When all three pairs of angles are equal, the sides of the three triangles must also be proportionate.

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Please help with question 10

Please help with question 10

Answers

Answer:

there’s no question 10, can u elaborate in comments?

what ratios are equivalent to 10:12 plz help i need this done by today.

Answers

Answer:

5:6 is the only ratio that is possibly equivalent

Step-by-step explanation:

divide 10 by 2 then 12 by 2 to get 5:6

What is the lateral area of the prism? 73.5 feet 73.5 square feet 84 feet 84 square feet

Answers

Answer:The lateral surface area of the triangular prism will be 84 square feet.correct option is D.

What is the surface area of the triangular prism?Let the sides of the triangle be a, b, c, and a height of H. Then the surface area of the prism is given as SA = H(a + b + c)A triangular prism has bases with three congruent sides, each measuring 4 feet. The height of each triangle is approximately 3.5 feet.The distance between the triangular bases is 7 feet.Then the lateral surface area will beSA = 7 (4 + 4 + 4)SA = 7 x 12SA = 84 square feet. the correct option is D

Step-by-step explanation:

Can someone explain to me the steps how they got 2 √4^2+2x-3-2 from this question…

Given the following equations, determine the simplified expression:
f(x) = 2x^2 + x - 1 g(x)= √2x-1 h(x) = -2
Determine the simplified expression of 2g(f(x))+h(x)

Answers

Step-by-step explanation:

with your square root symbol I never know what is inside the square root and what is possibly outside.

so, I can only guess and see what comes close.

f(x) = 2x² + x - 1

g(x) = sqrt(2x - 1) ??? is that so ?

h(x) = -2

2g(f(x)) + h(x)

g(f(x)) means that the whole f(x) expression is used as x in g(x).

the whole combined function is then

2×sqrt(2(2x² + x - 1) - 1) - 2

2×sqrt(4x² + 2x - 2 - 1) - 2

2×sqrt(4x² + 2x - 3) - 2

and if I am not mistaken, then this is the solution you mentioned at the beginning (if I try to read between the typos and missing info).

this is how people get to this.

do you understand it now ? or is there still something unclear ?

Inez is saving money to buy a dress for the homecoming dance. The dress costs $345. She has
saved $57 and each week she adds $12 to her savings. How many weeks will it take her to save
enough money to buy the dress?

Answers

Answer:

w4riqh3w4uonq3vtnq9358vtv33174

Step-by-step explanation:

Answer:

24 weeks

Step-by-step explanation:

We need to subtract how much she has now from the total cost which gives us 288. then we divide the new cost by the amount she makes a week to get 24. Which makes it so she needs to work for 24 weeks before she can buy the dress.

20 POINTS
what is the vertex of this quadratic function

20 POINTSwhat is the vertex of this quadratic function

Answers

Answer:

(-4,-9)

Step-by-step explanation:

vertex form: y=a(x-h)^2+k

hk=vertex of x and y

inside parentheses=horizontal (opposite signs)

that’s why it’s -4 instead of 4 for h (x) while -9 stays the same since it’s not inside the parentheses

What are the odds in favor of rolling two number cubes and having a 7 on the first roll and doubles on the second roll?
please give an explanation ​

What are the odds in favor of rolling two number cubes and having a 7 on the first roll and doubles on

Answers

The odds in favor of rolling two number cubes and having a 7 will be 1/6.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

The total number of the events will be

Total events = 6 x 6

Total events = 36

The number of favorable events will be

Favorable events = 6 {(1, 6), (2, 5), (3, 4), (4, 3), (2, 5), (6, 1)}

Then the probability will be

P = 6 / 36

P = 1/6

The odds in favor of rolling two number cubes and having a 7 will be 1/6.

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Answer this true or false question please:4x-1<2x+7 when x =0​

Answers

true!
4(0) -1 = -1
2(0) +7 = 7

Melissa has a can of spray paint that covers about 6,500 square centimeters.can Melissa apply two coats of paint to the entire sculpture?

Answers

To determine whether Melissa can apply two coats of paint to the entire sculpture with a can of spray paint that covers 6,500 square centimeters need to consider the surface area of the sculpture and the amount of paint required for two coats.

Let's assume the sculpture has a total surface area of S square centimeters.

To apply one coat of paint to the entire sculpture, Melissa would need approximately S square centimeters of paint.

The can of spray paint covers 6,500 square centimeters, it would be sufficient to cover the sculpture with one coat.

A second coat of paint, Melissa would need an additional S square centimeter of paint.

The first coat has already covered the sculpture, the second coat would only require coverage of any missed spots or areas that need additional touch-up.

The amount of paint required for the second coat would generally be less than the amount required for the first coat.

Considering these factors, it is likely that Melissa can apply two coats of paint to the entire sculpture with a can of spray paint that covers 6,500 square centimeters.

The actual feasibility would depend on the size and complexity of the sculpture, as well as the efficiency of Melissa's painting technique.

If the sculpture has a significantly larger surface area than 6,500 square centimeters, or if it has intricate details that require a substantial amount of touch-up, Melissa may require additional cans of spray paint to achieve two coats.

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Let f(x)=x^{2}+18x+7\ and\ g(x)=-3x^{2}+2x-9.f(x)=x^2 +18x+7 and g(x)=−3x^2 +2x−9. Identify the solution(s) of f(x)=g(x).f(x)=g(x).

Answers

Answer:

x = -2

Step-by-step explanation:

\(f(x)=x^{2}+18x+7\)

\(g(x)=-3x^{2}+2x-9\)

\(f(x)=g(x)\)

\(\implies x^2 +18x+7=-3x^2 +2x-9\)

\(\implies 4x^2 +16x+16=0\)

\(\implies x^2 +4x+4=0\)

\(\implies (x+2)^2=0\)

\(\implies x+2=0\)

\(\implies x=-2\)

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