There is a sale on jeans where you will get 20% off the original price. If the jeans cost $65, how much will you SPEND on the jeans?

plzzzz answer

Answers

Answer 1
Multiply 65 by .2 and then take that number and subtract it from the original 65. So it would be 65 - 13 = 52

Related Questions

PLEASE HURRY!! I need help!!!


Calculate the IQR given in the box: 

Answers

It’s c because 50 - 40 is 10

write five other iterated integrals that are equal to the iterated integral
∫¹₀ ∫¹ᵧ ∫ʸ ₀ f(x, y, z)dx dx dy

Answers

Here are five other iterated integrals that are equal to the given iterated integral:
∫₀ʸ ∫⁺∞ₓ ∫¹₀ f(x, y, z)dz dx dy
∫₀ʸ ∫¹₀ ∫ʸ ∞ f(x, y, z)dz dx dy
∫⁺∞₁₀ ∫₀ʸ ∫ʸ ₀ f(x, y, z)dz dy dx
∫¹ᵧ ∫⁺∞₁₀ ∫₀ x f(x, y, z)dz dx dy
∫⁺∞₀ ∫⁺∞₁₀ ∫ʸ ₀ f(x, y, z)dz dx dy


The given iterated integral ∫¹₀ ∫¹ᵧ ∫ʸ ₀ f(x, y, z)dx dx dy represents the integration of a function f(x, y, z) over a region defined by the limits of integration. To obtain five other equivalent iterated integrals, we can rearrange the order of integration and modify the limits accordingly. Each integral represents the same volume or value as the given iterated integral, but the order of integration and limits may vary.
The key is to ensure that the new integrals cover the same region as the original one. The limits in each integral should define the appropriate range for each variable to maintain the equivalence. By rearranging the order of integration and adjusting the limits accordingly, we can obtain these alternative expressions that are equal to the given iterated integral.

learn more about integral here  

https://brainly.com/question/31433890



#SPJ11

data analysts use one-sample hypothesis tests to ______. a. frustrate students b. manage random sampling error c. justify their jobs d. make bad decisions e. all of the choices above f. none of the choices

Answers

Data analysts use one-sample hypothesis tests to manage random sampling error. The correct answer is (b).

Data analysts use one-sample hypothesis tests to manage random sampling error. Random sampling error refers to the variability or differences that can occur between a sample and the population it represents.

By conducting hypothesis tests, analysts can determine if the observed data from a sample is statistically significant and can be generalized to the larger population.

Hypothesis tests help analysts assess whether an observed effect or relationship in the sample is likely to be a true effect or relationship in the population or if it is simply due to random chance.

By testing a hypothesis and comparing the sample data to a null hypothesis, analysts can evaluate the validity of their findings and make informed decisions based on the results.

The purpose of hypothesis tests is not to frustrate students, justify their jobs, or make bad decisions. Instead, they serve as a statistical tool to manage random sampling error and provide reliable and valid conclusions based on data analysis.

The correct answer is (b)

To learn more about data analysts/sample click on,

https://brainly.com/question/31981102

#SPJ4

plss help answer true or false

Answers

Answer:

"false" I believe if wrong srry

Determine if the following linear maps are surjective or injective. You may assume each map is linear. (a) The derivative map T : P3(R) → P₂(R); P₂ (R); p(x) → d dx -p(x). (b) The linear map T: R³ → Rª defined by the matrix 1 1 -3 1 1 1 A 0 1 2 1 0 -1 (c) The linear map T: R³ → R³ defined by the matrix 0 5 5 A = 2 1 2 2 3 4

Answers

The linear map is  not surjective but injective.

A linear map is an operation between two vector spaces that preserves the properties of addition and scalar multiplication; therefore, it is a linear transformation.

Here is how to determine if the following linear maps are surjective or injective.

(a) The derivative map T: P3(R) → P₂(R); P₂(R); p(x) → d/dx -p(x) is an example of a linear map,

where P3(R) and P₂(R) are the vector spaces of polynomials of degree at most 3 and 2 with coefficients in R, respectively.

Moreover, d/dx is the derivative operator acting on the polynomial p(x).

The kernel of the linear map T is the subspace of P3(R) consisting of polynomials p(x) with T(p(x)) = d/dx -p(x) = 0, i.e., p(x) is constant.

However, a constant polynomial of degree zero is not in the range of T, since it has no derivative. Therefore, the linear map T is injective and not surjective.

#SPJ11

Let us know more about linear map: https://brainly.com/question/31944828.

What was different about the Yuan Dynasty? *
I’ll give brainiest answer to the person who gets it right.

Answers

Answer:

One big change during Kublai's reign was that foreigners became the rulers and administrators. Since they didn't trust the local people, they moved in a large number of Muslims and other people to help them rule the empire. The Mongols had their own religious belief called Shamanism.

PLS ANSWER THIS AND GET BRAINLIEST !!!
A grocery store collected sales data. It found that when customers buy less bread, they tend to purchase more rice. What can we conclude?


A. There is no correlation between amount of bread bought and amount of rice purchased.

B. There is a correlation between amount of bread bought and amount of rice purchased. However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought.

C. There is a correlation between amount of bread bought and amount of rice purchased. There may or may not be causation. Further studies would have to be done to determine this.

Answers

Answer:  C

Step-by-step explanation: C because there is obviously a correlation yet we cannot determine if there is causation or not.

x h(x)
-25 6
-13 0
-3 -5
0 -7
9 -11
11 -30
What is the average rate of change of h(x) over the interval -13 < x < 11 ?

Answers

Answer:

56

Step-by-step explanation:

What is the length of AC?

Answers

Answer:

AC=6

Step-by-step explanation:

You can see that  ABC is 4 times bigger that HIJ because of lines AB and HI. HI(with a value of one) had to be multiplied by four to equal AB (a value of 4). Use this same rule to find the side AC.

1.5(the length of HJ) times 4 =6.

I’ll give brainless too who ever respond fast and correctly.

Answers

i’ll comment so you can get branliest :)

Of all the animals admitted to the local pet hospital, 10 of them are dogs. They represent 25% of all the animals at the hospital. How many animals are at the hospital in total? A. 20 B. 30 C. 40 D. 50

Answers

Answer:

C. 40

Step-by-step explanation:

[tex]\frac{25}{100} = \frac{10}{y}[/tex]

[tex]\frac{1}{4} = \frac{10}{y}[/tex] (cross multiply)

40 = 1y (rewrite)

y = 40

Investigators performed a randomized experiment in which 411 juvenile delinquents were randomly assigned to either multisystemic therapy (MST) or just probation (control group). Of the 215 assigned to therapy, 87 had criminal convictions within 12 months. Of the 196 in the control group, 74 had criminal convictions within 12 months. Determine whether the therapy caused significantly fewer arrests at a 0.05 significance level. Start by comparing the sample percentages. Find and compare the sample percentages that were arrested for these two groups. The percentage of arrests for people who received MST was %.

Answers

The percentage of arrests for people who received Multisystemic Therapy (MST) can be calculated by dividing the number of individuals arrested in the MST group (87) by the total number of individuals.

Percentage of arrests for MST group = (87/215) * 100 ≈ 40.47%

To determine if therapy caused significantly fewer arrests at a 0.05 significance level, we need to compare this percentage with the percentage of arrests in the control group.

The percentage of arrests for the control group can be calculated in a similar manner by dividing the number of individuals arrested in the control group (74) by the total number of individuals in the control group (196), and multiplying by 100.

Percentage of arrests for control group = (74/196) * 100 ≈ 37.76%

Comparing the sample percentages, we find that the percentage of arrests for people who received MST (40.47%) is slightly higher than the percentage of arrests for the control group (37.76%).

To determine if this difference is statistically significant at a 0.05 significance level, we would need to perform a hypothesis test, such as a chi-square test, to compare the observed frequencies with the expected frequencies under the assumption that therapy has no effect on reducing arrests.

Learn more about samples here:

https://brainly.com/question/27860316

#SPJ11

Rachel has 42 stickers she wants give to her friends. Rachel put the stickers in 7 equal groups. Then Rachel found more stickers and put 3 more in each pile. If Rachel gives 5 stickers to each of her 12 friends, how many stickers does she have left over?

Answers

Answer:

3 stamps

Step-by-step explanation: 42 stamps in equal groups would be 6 stickers/group.

6+3 = 9 stickers in each pile

there was 7 piles so multiply 7 by the 9 stickers in each pile

7· 9 = 63  

5 · 12 = 60, so she gave her friends 60 stickers

63-60 = 3  

4. Write neatly and legibly.
QUESTION 1
1.1
Find the sum:
1.1.1 2+6+(-7) + 10 = 11

Answers

Find the sum:

1.1.1 2+6+(-7) + 10 = 11

11=11

Hey
So first you need to remove the brackets

When there is a in front of an expression in brackets, the expression remains the same

2+6-7+10=11

Then combine the numbers and it comes out as 11 so it’s true

Is 9.90 equal to greater than or less than 9.9

Answers

Answer:

Equal to.

Step-by-step explanation:

The 0 at the end of 9.90 does not add any value to the number because its 0.

Answer:

It is equal.

Step-by-step explanation:

9.90 = 9.9 , it's the same as the 0 does not count on it.

why why why do i have to watch ads

Answers

Answer:

Because you didnt pay for brainly.

If you do, no adds :D

Its a lot easier to be honest

Answer: Because the advertisements are corporations' way of making a market with the internet. They pay a fee to have their adds placed on sites and above videos, and by watching them, that generates revenue for the content creator and the hosting domain itself.    

you welcome

Step-by-step explanation:

how many strings of length 5 are there over the alphabet {0, 1, 2}?

Answers

The length of the string is 5 and the alphabet is {0, 1, 2}.Therefore, the number of strings of length 5 that can be formed over the given alphabet is:$$3^5 = 243$$ Therefore, there are 243 strings of length 5 over the alphabet {0, 1, 2}.

To calculate the number of strings of length 5 over the alphabet {0, 1, 2}, we need to determine the number of choices for each position in the string. Since each position can be filled with one of three possible characters (0, 1, or 2), we have three choices for each position.

Therefore, the total number of strings of length 5 can be calculated as:

Number of strings = Number of choices for position 1 × Number of choices for position 2 × Number of choices for position 3 × Number of choices for position 4 × Number of choices for position 5

Number of strings = 3 × 3 × 3 × 3 × 3 = 3^5 = 243

So, there are 243 strings of length 5 over the alphabet {0, 1, 2}.

To know more about length,VISIT:

https://brainly.com/question/2217700

#SPJ11

The information given in question is that the length of the string is 5.

Alphabet {0,1,2}

Therefore, there are 243 strings of length 5 over the alphabet {0, 1, 2}.

To find the number of strings of length 5 over the alphabet {0, 1, 2}, we need to consider the number of choices we have for each position in the string.

There are three choices (0, 1, or 2) for each position, and since we have five positions, the total number of strings of length 5 is given by:

[tex]$$3^5 = \boxed{243}$$[/tex]

Therefore, there are 243 strings of length 5 over the alphabet {0, 1, 2}.

To know more about length visit

https://brainly.com/question/2497593

#SPJ11

Sarah practices the piano 1/3 hour in the morning, 5/6 hour in the afternoon, and 4/5 hour in the evening.

How many hours did Sarah practice in all?

Answers

She practiced 288 hours in totally

if 1-3(y+2)=-32 find the value of y/3

Answers

Answer:

7.6

Step-by-step explanation:

-3 multiple by y and -3 multiple by 2 resolve to 7.6....

Approximate the area under the graph of F(x)=0.2x³+2x²-0.2x-2 over the interval (-9,-4) using 5 subintervals. Use the left endpoints to find the height of the rectangles.

Answers

To approximate the area under the graph of the function F(x) = 0.2x³ + 2x² - 0.2x - 2 over the interval (-9, -4) using 5 subintervals and left endpoints, we can use the left Riemann sum method. The total area under the graph of F(x) over the interval (-9, -4).

To approximate the area using the left Riemann sum method, we start by dividing the interval (-9, -4) into 5 subintervals of equal width. The width of each subinterval can be calculated as (b - a) / n, where b is the upper limit of the interval (-4), a is the lower limit of the interval (-9), and n is the number of subintervals (5 in this case).

Next, we evaluate the function F(x) at the left endpoint of each subinterval to find the height of the rectangles. For the left Riemann sum, the left endpoint of each subinterval is used as the height. In this case, we evaluate F(x) at x = -9, -7, -5, -3, and -1.

Once we have the width and height of each rectangle, we can calculate the area of each rectangle by multiplying the width and height. Finally, we sum up the areas of all the rectangles to approximate the total area under the graph of F(x) over the interval (-9, -4).

To learn more about  Riemann sum method click here: brainly.com/question/30404402

#SPJ11

Identify if they are function or not

Answers

Answer:

1=function

2=not function

3=function

4=function

5=function

6=not function

7=not function

8=function

Write the equation of the given line in slope-intercept form:
(-1,2) and (1,-4)

Answers

answer is y=-3x+(-1/3)

Find all the first derivatives of the function f(x,y) = x^0.9y^1.8. Show all of your steps with explanations of what you are doing.

Answers

The first derivative of the given function with respect to x is 0.9x^(-0.1)y^1.8 and the first derivative of the given function with respect to y is 1.8x^0.9y^0.8.

The given function is f(x, y) = x^0.9y^1.8. The question is to find the first derivative of the given function with respect to x and y respectively.

Here are the solutions; The first derivative of the given function with respect to x is given by ∂f(x, y)/∂x:∂f(x, y)/∂x = 0.9x^(-0.1)y^1.8

On the other hand, the first derivative of the given function with respect to y is given by ∂f(x, y)/∂y:∂f(x, y)/∂y = 1.8x^0.9y^(1.8 - 1)∂f(x, y)/∂y = 1.8x^0.9y^0.8

Therefore, the first derivative of the given function with respect to x is 0.9x^(-0.1)y^1.8 and the first derivative of the given function with respect to y is 1.8x^0.9y^0.8.

The above steps use the concept of partial derivatives of a function with respect to a variable that can be applied in such types of questions.

To know more about variable visit:

https://brainly.com/question/28248724

#SPJ11

The given function is

[tex]f(x,y) = x⁰.⁹ y¹.⁸[/tex]

Now, let's find the first derivative of the function with respect to x and y.

First derivative of the function with respect to x:

We have to use the chain rule here.

According to the chain rule,

the derivative of the outer function is multiplied by the derivative of the inner function.

The inner function is [tex]y¹.⁸,[/tex]

whose derivative with respect to x is 0.

Therefore, we only have to differentiate the outer function with respect to x.

[tex]f(x,y) = x⁰.⁹ y¹.⁸∂f/∂x = ∂/∂x (x⁰.⁹ y¹.⁸)∂f/∂x = 0.⁹x^(-0.1) y¹.⁸∂f/∂x = 0.⁹y¹.⁸/x^0.1[/tex]

First derivative of the function with respect to y:

We have to use the chain rule here.

According to the chain rule, the derivative of the outer function is multiplied by the derivative of the inner function.

The inner function is [tex]x⁰.⁹,[/tex]

whose derivative with respect to y is 0.

Therefore, we only have to differentiate the outer function with respect to y.

[tex]f(x,y) = x⁰.⁹ y¹.⁸∂f/∂y = ∂/∂y (x⁰.⁹ y¹.⁸)∂f/∂y = 1.⁸ x⁰.⁹ y^(0.8)∂f/∂y = 1.⁸x^0.9 y^0.8[/tex]

Hence, the first derivative of the given function with respect to x is

[tex]0.⁹y¹.⁸/x^0.1[/tex]

and with respect to y is [tex]1.⁸x^0.9 y^0.8.[/tex]

To know more about derivative, visit:

https://brainly.com/question/29144258

#SPJ11

solve elimination method 3x+4y=0 and x - 2y =-5​

Answers

Answer:

x=−2 and y=3/2

Step-by-step explanation:

see picture

How long will it take for quarterly deposits of $625 to accumulate to be $20,440 at an interest rate of 8.48% compounded quarterly?

Answers

It will take approximately 9 years and 2 months for quarterly deposits of $625, with an interest rate of 8.48% compounded quarterly, to accumulate to $20,440.

To calculate the time it takes for the deposits to accumulate to the desired amount, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the accumulated amount

P = the principal amount (initial deposit)

r = the annual interest rate (converted to a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case, the principal amount (P) is $625, the interest rate (r) is 8.48% (or 0.0848 as a decimal), the number of times interest is compounded per year (n) is 4 (quarterly compounded), and the desired accumulated amount (A) is $20,440.

We need to solve for t, the number of years. Rearranging the formula, we have:

t = (log(A/P)) / (n * log(1 + r/n))

Plugging in the values, we get:

t = (log(20440/625)) / (4 * log(1 + 0.0848/4))

Calculating this, we find that t is approximately 9.18 years. Converting this to years and months, we get approximately 9 years and 2 months. Therefore, it will take around 9 years and 2 months for the quarterly deposits of $625 to accumulate to $20,440 at an interest rate of 8.48% compounded quarterly.

Learn more about interest here: https://brainly.com/question/8100492

#SPJ11

hey lol pls help <3
Ms. Philor is going on a trip to Hawaii. The function A(d)=0.80d+200 models the amount A, in dollars, that Ms.Philor's company pays her based on the round trip distance d, in miles that Ms. Philor travels to do a job.

Ms. Philor's pay increases by $

A)80.200
B) 0.80
C)200.80

Answers

A. 80.200 random letters susboahajsgsjahaj

Mario paid $44.25 in taxi fare from the hotel to
the airport. The cab charged $2.25 for the first
mile plus $3.50 for each additional mile. How
many miles was it from the hotel to the airport?
A. 10
B. 11
C. 12
D. 13

Answers

Answer:

C. 12

hope they help

first mile $2.25 plus $3.50 ×12= $42.00+2.25=44.25

Solve for w. Make sure to use scrap paper to show your work. ( 36 ÷ 3 )( 2 x 6 ) = w

Answers

Answer:

your answer is w=144

Step-by-step explanation:

(36÷3=12)(2x6=12)

12x12=144

Answer:  144

Step-by-step explanation:

5. use the integral representation of Jy(x) 1 XV Jv(x) = tixp (1 – p2)v-żdp (+1,0T ©) p VT(v-3): 1 - To show that the spherical Bessel functions in (x) are expressible in terms of trigonometric functions, that is, for example, sin x sin x j.(x) = x ji(x) х x2 COS X = = ) х

Answers

We are given a formula that uses the integral representation of Jy(x): $${x\over 2}\left[J_{v-1}(x) - J_{v+1}(x)\right] = v\int_0^\infty t^{v-1} J_{v-1}(xt)\,dt$$

We will use this formula to show that the spherical Bessel functions $j _v(x)$ are expressible in terms of trigonometric functions. Let $y=v-1$.

Substituting $v=y+1$, we have: $${x\over 2}\left[J_y(x) - J_{y+2}(x)\right] = (y+1)\int_0^\infty t^y J_y(xt)\,dt$$

This expression is known as a recurrence relation for spherical Bessel functions. Let us use this to derive the identity that was requested:

$${x\over 2}\left[J_{v-1}(x) - J_{v+1}(x)\right] = (v+1)\int_0^\infty t^v J_v(xt)\,dt - v\int_0^\infty t^v J_{v-1}(xt)\,dt$$

Rearranging and using the recurrence relation, we obtain:

$$J_{v+1}(x) = {2v\over x}J_v(x) - J_{v-1}(x)$$$$\begin{aligned}\sin x\,j_v(x) &= \sin x\left[{1\over x}J_v(x)\right]\\&= {1\over 2x}\left[J_{v-1}(x) - J_{v+1}(x)\right]\\&= {v+1\over x}\int_0^\infty t^v J_v(xt)\,dt - {v\over x}\int_0^\infty t^v J_{v-1}(xt)\,dt\end{aligned}$$

Similarly, $$x^2\cos x\,j_v(x) = {v\over x}\int_0^\infty t^v J_v(xt)\,dt + {v+1\over x}\int_0^\infty t^v J_{v-1}(xt)\,dt$$

Hence, we have shown that $j_v(x)$ can be expressed in terms of trigonometric functions as follows:$$\begin{aligned}\sin x\,j_v(x) &= {v+1\over x}\int_0^\infty t^v J_v(xt)\,dt - {v\over x}\int_0^\infty t^v J_{v-1}(xt)\,dt\\\cos x\,j_v(x) &= {v\over x}\int_0^\infty t^v J_v(xt)\,dt + {v+1\over x}\int_0^\infty t^v J_{v-1}(xt)\,dt\end{aligned}$$

To know more about trigonometric functions refer to:

https://brainly.com/question/25618616

#SPJ11

41+98+0000000000000000000000000000000000000000000

Answers

139

ffsahshanjwjsjudke

Answer:

139 because zero is addition identity
Other Questions
if f(x,y)=xy, find the gradient vector del f(3,2) and use it to find the tangent line to the level curve f(x,y)=6 at the point (3,2). sketch the level curve, the tangent line, and the gradient vector. select the correct answer. given: 2al 6hcl 2alcl3 3h2 if the chemical reaction produces 129 grams of alcl3, how many grams of h2 are also produced? a. 1.22 b. 2.92 c. 3.02 d. 3.65 (a) Prove that:arccos z = i log (= + i(1 2))(b) Solve the equation cosz=3/4i Question: Describe how Percy feels as he lays in bed after his first night at camp. Use textual evidence to support your answer Using standard reduction potentials from the ALEKS Data tab, calculate the standard reaction free energy AG for the following redox reaction. Round your answer to 3 significant digits. 6Br- (aq) + 2CrO4 (aq) + 8H2O(l) --> 3Br2(l) + 2Cr(OH)3(s) + 10OH-(aq)___ kJ Which of the following peptide segments is most likely to be part of a stable Alpha Helix at physiological pH? Only one can be chosen.1. gly-gly-gly-ala-gly2. gly-arg-lys-his-gly3. pro-leu-thr-pro-trp4. lys-lys-ala-arg-ser5. glu-leu-ala-lys-phe6. glu-glu-glu-glu-glu7. tyr-trp-phe-val-lie self-generation and self-monitoring of one's thoughts, feelings, and behaviors in order to reach a goal is analyze bed bath and beyong using competitive forces and value chain models if you roll a die 100 times, what is the approximate probability that you will roll between 9 and 16 ones, inclusive? (round your answer to two decimal places.) Multivariate statistical techniques differ from bivariate techniques in that they: Use Stokes' Theorem to evaluate C F dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 6yi + xzj + (x + y)k, C is the curve of intersection of the plane z = y + 8 and the cylinder x2 + y2 = 1. Which of the following describe compensating balances? (Select all that apply.)a) A specified balance a borrower of a loan is asked to maintain in a low-interest account at the bankb) A specified balance a borrower of a loan is asked to maintain in a noninterest-bearing account at the bankc) Funds set aside for a future plant expansiond) A sinking fund established in connection with debt instruments tank contains a mixture of helium, neon, and argon gases. If the total pressure in the tankis 600. mmHg and the partial pressures of neon and argon, respectively are: 120 torr and 0.20 atm .What is the partial pressure of neon in mmHg) in the tank? a) 152 mm. b) 272 mm. c) 328 mm. d) 448 mmHg. e) 480 mmHg. Find the flux of the vector field F across the surface S in the indicated direction.F = 2x 2 j - z 4 k; S is the portion of the parabolic cylinder y = 2x 2 for which 0 z 4 and -2 x 2; direction is outward (away from the y-z plane)a)-128/3b)128/3c)-128d)128 A 40 dB sound wave strikes an eardrum whose area is 5.010^ 5 m^ 2 . At this rate, how long would it take your eardrum to receive a total energy of 1.0 J? 1. 2, 6, 18, 54, ...find the common ratio of geometric sequence A large triangle is joined up with three identical small triangles. The perimeter of one small triangle is 21cm The width of the small triangle is x work out the perimeter of the large triangle. After collecting and analyzing data, and estimating a regression model, you have found the following demand equation for your company's product, which is Good A:QdA = 18,000 - 4PA + 3PB + 6M.You have the information that PB = $60, and M = $17,000.(Note that QdA is the quantity demanded of Good A, PA is the price of Good A, PB is the price of another product called Good B, and M stands for income available. In addition, note that the income enters the equation as $17,000.)Use this information to answer the following five parts of this question. Show ALL your calculations.a. For this demand equation, what is the P intercept?b. For this demand equation, what is the Q intercept?c. Is Good A normal good or an inferior good?d. You are given the information that PA is $90. Now, if M decreases by 50%, how much does Qd of Good A change?e. Are Good A and Good B substitutes or complements? Using Taylor's Formula, derive the Taylor series for sin 3x (centered at x = 0). (c) Prove that the Taylor series you derived in part (b) converges absolutely for all x ER. (d) Use Lagrange's Formula to show that the Taylor series you derived in part (b) converges to sin 3.r for all x ER. The fixed factory overhead production-volume variance represents: Multiple Choice Money lost or gained because of achieved production levels. A result of unitizing fixed overhead costs for product cos