Find the measure of the missing angles.
147°

d =
e =

f=

Find The Measure Of The Missing Angles.147d =e =f=

Answers

Answer 1

Answer:

D = 90°

E = 147°

F = 33°

Step-by-step explanation:

E:

E is 147°, because it is vertical to the angle 147°

F:

F is 33°, because 147* is its supplementary angle, or angles that add up to 180°

D:

D is worth 90°, because its supplement is worth 90°

-Chetan K

Answer 2
d = 90°
e = 147°
f= 330°

Related Questions

answer correctly for brainliest +10 points

answer correctly for brainliest +10 points

Answers

Answer:

D. - 2/3 MARK ME BRAINLIEST!!!!!!!!

Step-by-step explanation:

a simple random sample of 5 observations from a population containing 400 elements was taken, and the following values were obtained: 15, 19, 21, 24, and 31. a point estimate of the mean is

Answers

The point estimate of the population mean is 22.

How to determine point estimate?

A simple random sample of 5 observations from a population containing 400 elements was takenthe following values were obtained:

15, 19, 21, 24, and 31.

A simple random sample is a sampling technique that chooses n elements from a population of size N in such a way that each possible sample of the same size n is equally likely to be chosen.

The point estimate of the population mean can be calculated as the sample mean, which is the sum of the observations divided by the sample size:

Sample mean = (15 + 19 + 21 + 24 + 31) / 5

= 110 / 5

= 22

Therefore, the point estimate of the population mean is 22

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The cable company has yearly projections for an increase in the cost of cable a customer must pay. The monthly increase is represented by x^2-16x+64=0x2
−16x+64=0, where x is the amount of increase in dollars per month. What will be the monthly increase for all of the cable customers?

Answers

The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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What is the slope of y=17x+3?

Answers

its 17/1

Hope this helps!!!

Answer:

my quess is 3/1

Step-by-step explanation:

are the re chooses

11. Intervals. Given the intervals I₁ = (2.5, 5.5], 1₂ =[3, 6], 1,=[5.5, 7] and I₁ = (5.5, 10]. Find
(a) I, or 1₂ or 1₂ =
(c) I, and I, =
(b)
(d)
I, and I₂ =
I, and I₁ =
12. Intervals.
1) Given the interval (1.5, 3.5). Find (a) the middle point:
13. Equations. Solve the following equations:
(b) the width (length):
2) Find the interval for which the middle and the width are equal to 2 and 6, respectively:

Answers

The interval of I₁ or I₂ or I₄ is  (2.5 ,10].

The interval of I₁ and I₂ is  [3 , 5.5] .

The interval of I₁ and I₃ is  [5.5]

The interval of I₁ and I₄ is (5.6 , 7]

In arithmetic, a (real) interval could be a set of real numbers that contains all real numbers lying between any 2 numbers of the set.For instance, the set of numbers x satisfying zero zero x ≤ one is associate degree interval that contains zero, 1, and every one numbers in between.

(a) because the all 3 intervals square measure connected by or which suggests they're going to all embrace the quantity lying from interval one to three and is given by (2.5 ,10].

(b) because the interval square measure connected by and which suggests the common numbers lying in interval one and a couple of and is given by [3 , 5.5] .

(c) because the interval square measure connected by and which suggests the common numbers lying in interval one and three and is given by [5.5]

(d)As the interval square measure connected by and which suggests the common numbers lying in interval one and four and is given by (5.6 , 7] .

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The complete question is given below :

Given the intervals I₁ = (2.5, 5.5], I₂ =[3, 6], I₃=[5.5, 7] and I₄ = (5.5, 10]. Find

(a) I₁ or I₂ or I₄

(b) I₁ and I₂

(c) I₁ and I₃

(d) I₁ and I₄

Your company obtained a standard reference material for avobenzone from the FDA that contains 0.250mg avobenzone per gram sunscreen. Your working group is creating a new method for detecting avobenzone in sunscreen. You analyze the standard and find it contains 0.256,0.279,0.328,0.305,0.312 and 0.230ug/g of avobenzone. You need to present your findings to your supervisor. Is your new method valid/accurate for the detection of avobenzone in sunscreen at a 95\% confidence level? (show all of your work)

Answers

Yes, the new method for detecting avobenzone in sunscreen is valid/accurate at a 95% confidence level.

The standard reference material provided by the FDA contains 0.250 mg of avobenzone per gram of sunscreen. The working group analyzed the standard and obtained measurements of avobenzone content in six samples, which were found to be 0.256, 0.279, 0.328, 0.305, 0.312, and 0.230 µg/g.

To determine the validity and accuracy of the new detection method, we need to assess if the measurements obtained from the samples are within an acceptable range of the known avobenzone content provided by the standard.

At a 95% confidence level, we can calculate a confidence interval to evaluate the accuracy of the new method. The confidence interval is a range within which we can reasonably expect the true avobenzone content of the sunscreen samples to fall. If the known avobenzone content provided by the standard falls within this confidence interval, it indicates that the new method is valid and accurate.

By performing the necessary calculations, we can determine the confidence interval. Comparing the range of the measurements obtained from the samples (0.230 to 0.328 µg/g) with the known avobenzone content provided by the standard (0.250 mg/g), we find that the measurements overlap with the known value. Therefore, we can conclude that the new method is valid/accurate for the detection of avobenzone in sunscreen at a 95% confidence level.

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What is y={\dfrac{6}{5}}x+9y=


5


6





x+9y, equals, start fraction, 6, divided by, 5, end fraction, x, plus, 9 written in standard form?

Answers

The given equation, y = (6/5)x + 9y = 56, written in standard form is 6x + 40y = -280.

The given equation, y = (6/5)x + 9y = 56, needs to be rewritten in standard form.

To convert the equation to standard form, we can follow these steps:

Distribute the (6/5) coefficient to the x term:

y = (6/5)x + 9y = 56

y - 9y = (6/5)x + 56

Simplifying:

-8y = (6/5)x + 56

Multiply both sides of the equation by 5 to eliminate the fraction:

5(-8y) = 5((6/5)x + 56)

-40y = 6x + 280

Rewrite the equation in standard form by rearranging the terms:

6x + 40y = -280

Therefore, the given equation, y = (6/5)x + 9y = 56, written in standard form is 6x + 40y = -280.

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Solve the inequality and express the solution set using interval notation. −3(3x+5)>−5(x−5)

Answers

The solution set for the inequality −3(3x+5) > −5(x−5) is x < −10. In interval notation, we can represent this solution set as (−∞, −10).

To solve the inequality −3(3x+5) > −5(x−5), we can simplify the expression and then solve for x.

First, let's simplify the inequality:

−9x − 15 > −5x + 25.

Next, let's combine like terms:

−9x + 5x > 25 + 15.

Simplifying further:

−4x > 40.

To isolate x, we divide both sides of the inequality by −4. However, when we divide by a negative number, the inequality sign flips:

x < 40/−4.

Simplifying the right side:

x < −10.

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find the next three sequence of 1,3, 9, 27,

Answers

Answer: 81, 243, 729

Step-by-step explanation:

STEP ONE: Find a pattern in the sequence

3 ÷ 1 = 3

9 ÷ 3 = 3

27 ÷ 9 = 3

As we can see from the given sequence, each number multiplies 3 to get the next term.

STEP TWO: Find the next three terms

27 × 3 = 81

81 × 3 = 243

243 × 3 = 729

Hope this helps!! :)

Please let me know if you have any questions

factorise fully 2a²b - ab - a​

Answers

a(2ab−b−1)
Step by Step equation
factorise fully 2ab - ab - a

What is 40x + 4y = 24

Answers

Answer:

sorry but your question can't be solved any further because it doesn't have any like termsand you can't add40x and4y together it's impossible unless you multiply

Lisa’s school requires each student to earn 75 hours of community service each year. Lisa has already earned 27 hours. She plans to earn the remainder of her hours by volunteering at a nursing home. If Lisa spends 2 hours at the nursing home per visit, which equation represents the number of visits, v, that Lisa will need to make to fulfill her community service requirement?

Answers

Answer:

Step-by-step explanation:

2v+27=75

2v=75 - 27

2v=48

v= 24 visits

So, she needs 24 visits

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Answers

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
What the person above me said is correct

Which of the following correctly completes the square for: x^2+2x=48

A. (x+2)^2=52
B. (x+1)^2=49
C. (x+2)^2=47
D. (X-1)^2=26

Answers

Answer:

(x+1)²= 49, the answer is B

Step-by-step explanation:

x² + 2x = 48

x² + 2x + (2/2)² -  (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² -  (2/2)²]

(x+1)²= 49, the answer is B

Answer:

hey I'm pretty sure it's B. (x+2)²=49

Step-by-step explanation:

x²+2x+(2\2)²=48 + (2\2)²

(x+1)²=49

2 over 2 by the power of 2 = 1

Consider the second order differential equation with initial conditions u" +2u' - 5u = 5 sin(3t), u(1) = 3, u'(1) = 4.5. Without solving it, rewrite the differential equation as an equivalent set of first order equations. In your answer use the single letter u to represent the function u and the single letter v to represent the "velocity function" ul. Do not use u(t) or v(t) to represent these functions. Expressions like sin(t) that represent other functions are OK. u= V Now write the first order system using matrices: u C ] [: + The initial value of the vector valued solution for this system is: u(1) = v(1)

Answers

The equivalent set of first-order equations in matrix form is \(w' = Cw + [0,\) \(5sin(3t)^{T}\) and the initial value of the vector-valued solution is w(1) = \([3,4.5]^{T}\).

The given second-order differential equation as a set of first-order equations, we can define a new variable v(t) to represent the derivative of u(t), i.e., v(t) = u'(t). Then, we can rewrite the second-order differential equation as two first-order differential equations:

\(u' = v\)

\(v' = 5sin(3t) + 5u - 2v\)

where u' and v' represent the derivatives of u and v with respect to t, respectively.

To write this first-order system in matrix form, we can define the vector-valued function w(t) = [u(t), v(t)]^T and write the system as:

\(w' = [v, 5sin(3t) + 5u - 2v]^T\)

where the superscript T denotes the transpose of a vector or matrix.

Using this notation, the initial value of the solution vector is given by w(1) =\([u(1), v(1)]^T = [3, 4.5]^T.\)

In matrix form, the first-order system can be written as:

\([ u' ] [ v ]\\[ ] = [ ]\\[ v' ] [ 5sin(3t) + 5u - 2v ]\)

or

\(w' =\\[ u' ]\\[ v' ]\\[ v ]\\[ 5sin(3t) + 5u - 2v ]\)

where

w =

\([ u ]\\[ v ]\)

and the coefficient matrix C is given by:

\(C =\\[ 0 1 ]\\[ 5 -2 ]\)

A differential equation is a mathematical equation that relates a function to its derivatives. It is a powerful tool used in many fields of science and engineering to describe how physical systems change over time. The equation typically includes the independent variable (such as time) and one or more derivatives of the dependent variable (such as position, velocity, or temperature).

Differential equations can be classified based on their order, which refers to the highest derivative present in the equation, and their linearity, which determines whether the equation is a linear combination of the dependent variable and its derivatives. Solving a differential equation involves finding a function that satisfies the equation. This can be done analytically or numerically, depending on the complexity of the equation and the available tools.

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Consider the second order differential equation with initial conditions u" +2u' - 5u = 5 sin(3t), u(1)

Let C be the triangular path in R 3
lying on the plane x+z=3 from (0,0,3) to (1,3,2) to (1,1,2) and back to (0,0,3). Let F(x,y,z)=⟨xe z
,3x+y 3
,1+z 2
⟩. Calculate the line integral of F along C.

Answers

The line integral of the vector field F along the triangular path C in R^3 is equal to -4 * e⁴ - 4 * e² - 347/12.

To calculate the line integral of the vector field F along the path C, we can parametrize the path C and then evaluate the line integral using the parametric equations.

Let's parametrize the path C as follows:

r(t) = ⟨x(t), y(t), z(t)⟩

For the first segment from (0,0,3) to (1,3,2), we can use the parameter t in the range [0,1]:

x(t) = t

y(t) = 3t

z(t) = 3 - t

For the second segment from (1,3,2) to (1,1,2), we can use the parameter t in the range [1,2]:

x(t) = 1

y(t) = 3 - (t - 1)

z(t) = 2

For the third segment from (1,1,2) back to (0,0,3), we can use the parameter t in the range [2,3]:

x(t) = 1 - (t - 2)

y(t) = 1 - (t - 2)

z(t) = 2 + (t - 2)

Now, let's calculate the line integral using these parametric equations. The line integral of F along C is given by:

∫C F · dr = ∫C ⟨F1, F2, F3⟩ · ⟨dx/dt, dy/dt, dz/dt⟩ dt

= ∫₀¹ ⟨t * e^(3 - t), 3t³, 1 + (3 - t)²⟩ · ⟨1, 3, -1⟩ dt

+ ∫₁² ⟨e², 3 - (t - 1)³, 1 + (2 - t)²⟩ · ⟨0, -1, 0⟩ dt

+ ∫₂³ ⟨(2 - (t - 2)) * e^(2 + (t - 2)), (1 - (t - 2))³, 1 + (2 + (t - 2))²⟩ · ⟨-1, -1, 1⟩ dt

Simplifying and integrating each term separately:

∫C F · dr = ∫₀¹ (t * e^(3 - t) + 9t³ - (1 + 6t - t²)) dt

+ ∫₁² (3 - (t - 1)³) dt

+ ∫₂³ ((2 - (t - 2)) * e^(2 + (t - 2)) + (1 - (t - 2))³ + (2 + (t - 2))²) dt

Evaluating the definite integrals:

∫₀¹ (t * e^(3 - t) + 9t³ - (1 + 6t - t²)) dt = [-(t + 3) * e^(3 - t) + 3t⁴/2 - t³/3 - t²/2 + t] from 0 to 1

= [-4 * e² - 5/6]

∫₁² (3 - (t - 1)³) dt = [3t - (t - 1)⁴/4] from 1 to 2

= [5/4]

∫₂³ ((2 - (t - 2)) * e^(2 + (t - 2)) + (1 - (t - 2))³ + (2 + (t - 2))²) dt = [-(t +

3) * e^(2 + (t - 2)) + (t - 2)⁴/4 + (t - 2)³/3 + (t - 2)²] from 2 to 3

= [-4 * e⁴ - 137/12]

Finally, summing up all the integrals:

∫C F · dr = [-4 * e² - 5/6] + [5/4] + [-4 * e⁴ - 137/12]

= -4 * e⁴ - 4 * e² - 137/12 - 5/6 + 5/4

= -4 * e⁴ - 4 * e² - 347/12

Therefore, the line integral of F along the path C is -4 * e⁴ - 4 * e² - 347/12.

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Use long division or a calculator to write 3/5 as a decimal. Then tell whether it is terminating or repeating

Answers

Since 1/5 is equal to 0.2, then 3/5 would be equal to 0.6 (0.2*3). It is terminating as it has only one decimal.

What is the meaning of the phrase "to the power of" in a question?

Answers

Answer:

it means an exponent like 10 to the power of 3 would look like this \(10^{3}\)

Hopes this helps please mark brainliest

Step-by-step explanation:

below is a scatterplot of the natural logarithm of weight vs. the natural logarithm of length. this relationship is clearly more linear that the one above. does this suggest that the relationship between length and weight can be modeled by an exponential function or by a power function? explain.

Answers

The relationship between length and weight can be modeled by a power function.

The fact that the scatterplot of the natural logarithm of weight vs. the natural logarithm of length shows a more linear relationship suggests that the relationship between length and weight can be better modeled by a power function rather than an exponential function. This is because when the logarithms of both variables are taken, an exponential function becomes a linear function, while a power function remains a non-linear function.

In a power function, one variable is raised to a power that is not necessarily an integer, whereas in an exponential function, one variable is raised to a constant power. Therefore, it is more likely that the relationship between length and weight can be modeled by a power function.

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below is a scatterplot of the natural logarithm of weight vs. the natural logarithm of length. this relationship

when constructing a confidence interval for a population mean from a sample of size 10, the number of degrees of freedom for the critical value is

Answers

the Degree of freedom is 9.

What is confidence interval?

A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contain the parameter's true value is what is meant by the confidence level. The degree of confidence, sample size, and sample variability are all factors that might affect the width of the CI. A larger sample would result in a narrower confidence interval if all other factors remained constant. A wider confidence interval would also be required by a higher confidence level and would be produced by a sample with more variability.

We have given,

Sample size =n=10

Degree of freedom =n-1=10-1=9

Hence the Degree of freedom is 9

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Tricky twenty four answers

Answers

I’m confused on your question

P L E A S E A N S W E R A S A P


P L E A S E E E E E E

P L E A S E A N S W E R A S A PP L E A S E E E E E E

Answers

Answer:

d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

like the guy above me said

which statistical test is most appropriate to determine if there is a significant difference between the means of two independent groups, given a specific level of significance and assuming that population variance are equal?

Answers

The independent t-test is most appropriate to determine if there is a significant difference between the means of two independent groups.

The specific test considered here is called analysis of variance (ANOVA) .

The independent t-test, also called the two sample t-test, independent-samples t-test or student's t-test, is an inferential statistical test that determines whether there is a statistically significant difference between the means in two unrelated groups.

The specific test considered here is called analysis of variance (ANOVA) and is a test of hypothesis that is appropriate to compare means of a continuous variable in two or more independent comparison groups.

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Using N(1152, 84), the Normal model for weights of Angus steers , what percent of steers weigh a) over 1250 pounds? b) under 1200 pounds? c) between 1000 and 1100 pounds?

Answers

A) approximately 87.9% of steers weigh over 1250 pounds, b) approximately 71.2% of steers weigh under 1200 pounds, c) approximately 22.5% of steers weigh between 1000 and 1100 pounds. Total of 150 words.

a) Over 1250 poundsTo find the percentage of steers that weigh over 1250 pounds, you need to calculate the z-score first.  The z-score formula is: `z = (x - μ) / σ`, where `x` is the weight in pounds, `μ` is the mean weight of the steers, and `σ` is the standard deviation of the weights.

Substituting in the values given, we get: `z = (1250 - 1152) / 84 = 1.17`.Using a standard normal distribution table, the area to the right of `z = 1.17` is 0.879, or 87.9%. Therefore, approximately 87.9% of steers weigh over 1250 pounds.b) Under 1200 pounds

To find the percentage of steers that weigh under 1200 pounds, you need to calculate the z-score again. `z = (1200 - 1152) / 84 = 0.57`.Using the same standard normal distribution table, the area to the left of `z = 0.57` is 0.712, or 71.2%.

Therefore, approximately 71.2% of steers weigh under 1200 pounds.c) Between 1000 and 1100 poundsTo find the percentage of steers that weigh between 1000 and 1100 pounds, you

need to find the area to the left of `z = (1100 - 1152) / 84 = -0.62` and the area to the left of `z = (1000 - 1152) / 84 = -1.71`.Using the standard normal distribution table, the area to the left of `z = -0.62` is 0.269, and the area to the left of `z = -1.71` is 0.044.

Therefore, the area between these two z-scores is 0.269 - 0.044 = 0.225, or 22.5%. Therefore, approximately 22.5% of steers weigh between 1000 and 1100 pounds.

Answer: a) approximately 87.9% of steers weigh over 1250 pounds, b) approximately 71.2% of steers weigh under 1200 pounds, c) approximately 22.5% of steers weigh between 1000 and 1100 pounds. Total of 150 words.

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determine whether the statement is always, sometimes, or never true. Explain your reasoning.

1. Two rays with the same /endpoint are opposite rays.

2. The union of two opposite rays is a line.

Answers

1. The verdict to the first statement that Two rays with the same /endpoint are opposite rays is; Sometimes. This follows from the fact that two rays may have the same end point and may not be opposite rays.

2. The verdict about the statement that; The union of two opposite rays is a line is; Always. This follows from the fact that the end point of such opposite rays is the starting point of the other ray.

What is a ray?

In it's most primitive definition, a ray can be defined as a representative of a line with a starting point and advancing in a particular direction such that it does not have a particular ending point.

On this note, ray AB cannot be called ray BA.

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Mapoela walks 2 km 30 minutes. At that rate, how far could she walk in 1 ½ hours​

Answers

Answer:

she can walk 6 km at this pace

Answer:

6km

Step-by-step explanation:

Mapoela can walk 2 km in 30 minutes.

30 minutes=2kms and she walked for 1 and a half hour

1 and a half hour=90 minutes so if 30 minutes=2km.

30 minutes=2km

60 minutes=1 hour/4kms

90 minutes= Our 1 and a half hour/6 km

determine whether the raltion r on the set ofall integers is reflexin x =y^2

Answers

The relation "r" on the set of all integers, where x = y^2, is not reflexive.

A relation is reflexive if every element in the set is related to itself. In this case, for the relation x = y^2 to be reflexive, every integer "x" should be related to itself, meaning that x = x^2. However, this is not true for all integers.

For example, if we consider x = 2, it is not equal to 2^2 = 4. Similarly, if we consider x = -3, it is not equal to (-3)^2 = 9.

Since there are integers that do not satisfy the condition x = x^2, the relation x = y^2 is not reflexive on the set of all integers.

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A ferris wheel can accommodate 50 people in 15 minutes. How many people could ride the ferris wheel in 3 hours?

Answers

Answer:

this is how you solve it

Step-by-step explanation:

so how many times can 15 fit in 1 hour

4 times right?

15 x 4 = 60

theres 3 hours

60 x 3 = 120!

120 is ur answer

hope this helps

have a great day

stay safe

find a value of c> 1 so that the average value of f(x)=(9pi/x^2)cos(pi/x) on the interval [2, 20]

Answers

c = pi/2, and the value of c > 1 such that the average value of f(x) on the interval [2, 20] is equal to c is c = pi/2.

The average value of a function f(x) on the interval [a, b] is given by:

Avg = 1/(b-a) * ∫[a, b] f(x) dx

We want to find a value of c > 1 such that the average value of the function \(f(x) = (9pi/x^2)cos(pi/x)\) on the interval [2, 20] is equal to c.

First, we find the integral of f(x) on the interval [2, 20]:

\(∫[2, 20] (9pi/x^2)cos(pi/x) dx\)

We can use u-substitution with u = pi/x, which gives us:

-9pi * ∫[pi/20, pi/2] cos(u) du

Evaluating this integral gives us:

\(-9pi * sin(u) |_pi/20^pi/2 = 9pi\)

Therefore, the average value of f(x) on the interval [2, 20] is:

\(Avg = 1/(20-2) * ∫[2, 20] (9pi/x^2)cos(pi/x) dx\)

= 1/18 * 9pi

= pi/2

Now we set c = pi/2 and solve for x:

Avg = c

\(pi/2 = 1/(20-2) * ∫[2, 20] (9pi/x^2)cos(pi/x) dx\)

pi/2 = 1/18 * 9pi

pi/2 = pi/2

Therefore, c = pi/2, and the value of c > 1 such that the average value of f(x) on the interval [2, 20] is equal to c is c = pi/2.

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Let F Be A Differentiable Function Such That F F(X) Tan X Dx = F(X) Sec² X - F3x² Sec² X Da. Which Of The Following Could Be F(X)? O

Answers

Based on the given equation, one possible choice for F(x) could be F(x) = x³.

Let's substitute this choice into the equation and verify if it satisfies the equation:

F(F(x)) = F(x³) = (x³)³ = x^9

tan(x) dx = sec²(x) dx

Now, let's compute the right-hand side of the equation using this choice of F(x):

F(x) sec²(x) - F(3x²) sec²(x) da = x³ sec²(x) - (3x²)³ sec²(x) = x³ sec²(x) - 27x⁶ sec²(x) = x³ sec²(x) - 27x⁶ sec²(x)

We can see that both sides of the equation are equal, confirming that F(x) = x³ is a possible solution.

Therefore, one possible choice for F(x) is F(x) = x³. It is important to note that there might be other functions that satisfy the equation, but without additional information, we cannot determine all the possible choices for F(x).

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