What is even function and odd function?

Answers

Answer 1

If f(-x) = f(x) for all x in the domain of the function, then the function is said to be even function in mathematics. if a function meets the criterion that f(-x) = -f(x) for all x in the function's domain, then is said to be odd function .

An even function, then, is symmetric about the y-axis. The graph of an even function would look geometrically identical to its reflection across the y- axis if we were to plot it. The functions f(x) = x2, f(x) = cos(x), and f(x) = |x| are examples of even functions.

An odd function, then, is symmetric about the origin. If we were to draw the graph of an odd function geometrically, if we were to plot the graph of an odd function, it would appear to be identical to its reflection across the origin, after being rotated 180 degrees. Some examples of odd functions include f(x) = x³, f(x) = sin(x), and f(x) = 1/x.

It is also possible for a function to be neither even nor odd. In other words, a function does not need to exhibit either symmetry about the y-axis or the origin.

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Related Questions

Anaiah is currently consuming 20 eggplants and 30 kiwis. His marginal utility per dollar spent on the 20 th eggplant is 160 utils and his marginal utility per dollar spent on the 30th kiwi is 190 utils. The price of an eggplant is $3 and the price of a kiwi is also $3. He has $180 to spend. How much is Anaiah currently spending on these goods? $ What are the reasons that Anaiah is behaving irrationally? Select all that apply. • He is not spending his entire income • He is spending too much on kiwis • He is not balancing what he spends on each good • His marginal utility per dollar spent is not the same for both goods

Answers

Anaiah is currently spending $150 on eggplants and kiwis.

Anaiah is behaving irrationally, because

1) He is not spending his entire income

2) He is spending too much on kiwis

3) He is not balancing what he spends on each good

4) His marginal utility per dollar spent is not the same for both goods.

Currently, Anaiah is spending:

On eggplants: 20 x $3 = $60

On kiwis: 30 x $3 = $90

Total spending: $60 + $90 = $150

Therefore, Anaiah is currently spending $150 on these goods.

The reasons that Anaiah is behaving irrationally are:

He is not spending his entire income: Anaiah has $180 to spend but he is only spending $150, which means he is not maximizing his utility by fully utilizing his budget.

He is spending too much on kiwis: Anaiah's marginal utility per dollar spent on kiwis is lower than his marginal utility per dollar spent on eggplants. Therefore, he should be spending more on eggplants and less on kiwis to maximize his utility.

He is not balancing what he spends on each good: Anaiah is consuming 20 eggplants and 30 kiwis, which means he is not allocating his budget efficiently to maximize his total utility. He should be consuming a combination of eggplants and kiwis that gives him the highest total utility within his budget constraint.

His marginal utility per dollar spent is not the same for both goods: Anaiah's marginal utility per dollar spent on eggplants is 160 utils while his marginal utility per dollar spent on kiwis is 190 utils. Therefore, he should be consuming more eggplants and fewer kiwis to maximize his total utility within his budget constraint.

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Find the total area:

Answers

1 x 4 = 4cm^2
1 x 7 = 7cm^2
3 x 4 = 12cm^2
4 + 7 + 12 = 23cm^2

Are 0. 5 - 3(-2x -1 over 3 +4 + 8x) and -1. 5(12x +7) equivalent expressions

Answers

Yes, 0.5 - 3(-2x - 1 over 3 + 4 + 8x) and -1.5(12x + 7) are equivalent expressions.


To prove this, we can use the distributive property:

0.5 - 3(-2x - 1 over 3 + 4 + 8x)

= 0.5 - 3(-2x/3 - 1/3 + 4/3 + 8x/3)

= 0.5 - (-6x - 1 + 4 + 24x)/3

= (0.5*3 + 6x + 1 - 4 - 24x)/3

= (-1.5*12x - 1.5*7)/3

= -1.5(12x + 7)
No, 0.5 - 3(-2x -1 over 3 +4 + 8x) and -1.5(12x +7) are not equivalent expressions.

To determine if two expressions are equivalent, we can simplify both expressions and compare them.

For the first expression, 0.5 - 3(-2x -1 over 3 +4 + 8x), we can distribute the -3 and combine like terms:

0.5 - 3(-2x) - 3(-1) - 3(3) - 3(4) - 3(8x)
= 0.5 + 6x + 3 - 9 - 12 - 24x
= -18x - 7.5

For the second expression, -1.5(12x +7), we can distribute the -1.5:

-1.5(12x) - 1.5(7)
= -18x - 10.5

As we can see, the simplified expressions are not the same, so they are not equivalent expressions.

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In observational studies, the variable of interest a. is not controlled b. is controlled c. cannot be numerical d. must be numerical

Answers

In observational studies, the variable of interest The correct answer is (a) is not controlled.

The variables are measured as they occur naturally, without any manipulation or intervention by the researcher. Therefore, the variable of interest is not controlled in observational studies.

Observational studies are used in situations where it is not feasible or ethical to conduct controlled experiments, such as in studies of the effects of environmental exposures or lifestyle factors on health outcomes. In these studies, the researcher cannot control the exposure or intervention and must rely on observational data to draw conclusions about the relationship between the exposure and the outcome.

The other options are not correct because:

b. If the variable of interest is controlled, then the study is a controlled experiment, not an observational study.

c. The variable of interest can be numerical or categorical in observational studies.

d. The variable of interest does not have to be numerical in observational studies, as it can also be a categorical variable

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u + 7 < 18
solve the inequality of u

Answers

Answer:

u < 11

Step-by-step explanation:

u + 7 < 18

u < 11

To solve the inequality:

u + 7 < 18

We need to isolate the variable u on one side of the inequality symbol.

Subtracting 7 from both sides, we get:

u < 18 - 7

Simplifying the right-hand side, we get:

u < 11

Therefore, the solution to the inequality is:

u < 11

In interval notation, the solution is:

(-∞, 11)

how to find interior angles of a hexagon

Answers

The total of a hexagon's internal angles is 720 degrees.

The internal angles of a hexagon may be calculated using the formula "180 - (360/n)," where n is the number of sides. When you enter 6 for a hexagon, the response is 120 degrees.

We might begin by imagining a hexagon to better comprehend the notion. It is a basic design made up of six distinct straight lines that join to form a closed shape. The internal angles are the angles on the inside of the form.

The above-mentioned formula may be used to compute the internal angles of a hexagon. For each inner angle of a hexagon, the computation yields a value of 120 degrees. Hence the total of a hexagon's internal angles is 720 degrees.

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What is the sum of the measures of the interior angles of a 10-sided figure?
A. 1,440°
B. 180°
C. 360°
D. 1,800°

Answers

The sum of the measures of the interior angles of a polygon with n sides can be found using the formula (n-2) * 180 degrees.

For a 10-sided figure, we have (10-2) * 180 = 8 * 180 = 1,440 degrees.

Therefore, the sum of the measures of the interior angles of a 10-sided figure is 1,440°.

The answer is A.

Im pretty sure the answer is A but im not 100%

If m and n are positive integers that satisfy the equation 3m^3= 5n^5 the smallest possible value for m+n

Answers

The two smaller positive integers are:

m = 675

n = 45

And the sum is 675

What is the smallest possible value of m + n?

We know that we have two positive integers, m and n.

And we know that:

3*m³ = 5*n⁵

One way of finding the numbers is evaluating one of the two in positive integers, until we get that the other one is also an integer.

For example,we can solve this for m to get:

m³ = (5/3)*n⁵

m = ∛((5/3)*n⁵)

Now just evaluate in different integer values of n.

if n = 3 we will get:

m = ∛((5/3)*3⁵) =  ∛(405) = 7.39

So this is not a solution.

Now I will use n = 45 = 5*3*3 (so all the exponents inside the cubic root are multiples of 3)

m = ∛((5/3)*(5*3²)⁵)

m = ∛(5⁶*3⁹) = 5²*3³ = 25*27 = 675

Then the sum is:

45 + 675 = 720

These is the smaller sum.

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5. You are buying your first vehicle and your uncle is able to get you a 12% discount on any
vehicle bought from Krumps Kars. The car you want to buy has an original price tag of $7800.
What will be the new price of the vehicle after the discount?
Before you start, should your answer be bigger or smaller than $7800? Bigger/Smaller

Answers

It has to be smaller than $7800

I am not sure if this answer is right.

Answer:

7800-936=6864

Step-by-step explanation:

x/12 7800/100

100x=93600

936

questions 7 and 8 please HELP!! solving steps would be nice

Answers

8)

The indicated 3th root of 125 is 5.

9)

The indicated 4th root of 81 is 3.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

8)

∛125

5 x 5 x 5 = 125

And,

5³ = 125

So,

= ∛5³

= 5

9)

[tex]\sqrt[4]{81}[/tex]

3 x 3 x 3 x 3 = 81

And,

[tex]3^4[/tex] = 81

So,

= [tex]\sqrt[4]{3^4}[/tex]

= 3

Thus,

8)

∛125 is 5.

9)

[tex]\sqrt[4]{81}[/tex] is 3.

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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answers

The two equations that are true for x = –2 and x = 2 are:

x2 – 4 = 0 (true for x = –2) and 4x2 = 16 (true for x = –2 and x = 2)

What is Quadratic equation ?

Quadratic equation can be defined as equation in which it is in the form of[tex]ax^2+bx+c = 0[/tex]

The options are:

x2 – 4 = 0

x2 = –4

3x2 + 12 = 0

4x2 = 16

2(x – 2)2 = 0

To check which equations are true for x = –2 and x = 2, we can substitute these values into each equation and see if it results in a true statement or not.

Substituting x = –2:

(-2)2 – 4 = 0 --> True

(-2)2 = –4 --> False

3(-2)2 + 12 = 0 --> True

4(-2)2 = 16 --> True

2((-2) – 2)2 = 0 --> False

Substituting x = 2:

22 – 4 = 0 --> False

22 = –4 --> False

3(2)2 + 12 = 0 --> False

4(2)2 = 16 --> True

2((2) – 2)2 = 0 --> True

Therefore, the two equations that are true for x = –2 and x = 2 are:

x2 – 4 = 0 (true for x = –2) and 4x2 = 16 (true for x = –2 and x = 2)

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what is rational roots theorem?

Answers

The Rational Roots Theorem identifies possible rational roots of a polynomial equation in terms of factors of its coefficients.

The Rational Roots Hypothesis, otherwise called the Judicious Zeros Hypothesis, is a numerical hypothesis that assists with recognizing conceivable objective foundations of a polynomial condition. In particular, that's what it expresses on the off chance that a polynomial condition with number coefficients has a sane root, that root should be of the structure p/q, where p is a variable of the consistent term and q is an element of the main coefficient.

For instance, in the event that a polynomial condition has the structure ax^3 + bx^2 + cx + d = 0, and the main coefficient an and the consistent term d are numbers, then, at that point, the conceivable sane foundations of the situation are the quantities of the structure p/q, where p is a component of d and q is a variable of a.

The Normal Roots Hypothesis is valuable in tackling polynomial conditions and deciding if they have reasonable roots.

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Draw a line of best fit. Is the relationship proportional? Support your answer with evidence
from your graph.

Answers

The line of the best fit of the scatter plot is added as an attachment

How to determine the line of best fit

The missing graph is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The graph

A good line of best fit would have equal number of points on either sides

To plot the graph, we draw a line that divides the points on the graph evenly

This line when drawn on the scattered points divided the points approximately evenly

The line is not a proportional relationship because it does not go through the origin

Hence, the line of the best fit is attached

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In a laboratory experiment, the population of bacteria in a petri dish started off at 7500 and is growing exponentially at 14% per day. Write a function to represent the population of bacteria after t days, where the hourly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per hour, to the nearest hundredth of a percent.

Answers

Answer:

Step-by-step explanation:

The function to represent the population of bacteria after t days can be written as:

P(t) = P0 * (1 + r)^t

where P0 is the initial population (7500), r is the daily growth rate (14% = 0.14), and t is the number of days.

Substituting the values, we get:

P(t) = 7500 * (1 + 0.14)^t

Simplifying, we get:

P(t) = 7500 * 1.14^t

To find the percentage rate of change per hour, we need to convert the daily growth rate to an hourly growth rate. Since there are 24 hours in a day, the hourly growth rate, denoted by h, is given by:

h = (1 + r)^(1/24) - 1

Substituting the value of r, we get:

h = (1 + 0.14)^(1/24) - 1

= 0.005521

So, the percentage rate of change per hour is:

h * 100% = 0.5521%

Rounding to the nearest hundredth of a percent, we get:

h * 100% ≈ 0.55%

13. a₁ = 38, an = an - 1 - 17, n ≥ 2 for each recursive formula write an explicit formula

Answers

Recursive form of sequence is given by f(n)  = f(n-1) - 3

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The explicit form of sequence is  given as

      f(n) = −3n + 2

So nth term is given by

           f(n) = −3n + 2

(n-1)th term is given by    

           f(n-1) = −3(n-1) + 2

We have

         f(n) -  f(n-1) = −3n + 2 - (−3(n-1) + 2)

          f(n) -  f(n-1) = −3n + 2 +3(n-1) - 2

          f(n) -  f(n-1) = −3n + 2 +3n -3 - 2

          f(n) -  f(n-1) = -3

          f(n)  = f(n-1) - 3

Recursive form of sequence is given by f(n)  = f(n-1) - 3

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$38000 a year is how much an hour?

Answers

Answer:

$18.27 an hour

Step-by-step explanation:

To figure out how much $38,000 a year is as an hourly wage, divide $38,000 by 40 hours and 52 weeks. So if you were to work full-time, 40 hours a week, making $38,000 a year, you would earn $18.27 an hour.

i will give brainliest. A first-time home buyer is given the choice of two loans: Loan A Loan B $390,000 15 year-fixed 4 discount points M = $3,509.71 $390,000 15 year-fixed 0 discount points M = $3,659.86 How much does the home buyer save in total by choosing Loan A? $27,027.00 $11,427.00 $26,351.02 $42,627.05

Answers

The solution is, Loan origination fee = $696

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

Given:

Home value = $58,000

Loan-to-value loan = 80%

Loan origination fee = 1.5 points = 1.5%

Find:

Loan origination fee = ?

Computation:

Total loan amount = Home value × Loan-to-value loan

Total loan amount = $58,000 × 80%

Total loan amount = $46,400

Loan origination fee = Total loan amount × 1.5%

Loan origination fee = $46,400 × 1.5%

Loan origination fee = $696

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Anil borrowed sum of 12,300 for a certain period at the rate of 10 per annum and returned 18,450 on expiry of the time. Find the time for which money was borrowed by him

Answers

Anil borrowed the sum of money $12,300 on rate of 10% per annum, for a period of 5 years.

We can use the simple interest formula to solve this problem:

Simple Interest = (Principal x Rate x Time) / 100

Where,

Principal = 12,300

Rate = 10% per annum

Simple Interest = 18,450 - 12,300 = 6,150

Substituting the given values in the formula, we get:

6,150 = (12,300 x 10 x Time) / 100

Simplifying the equation, we get:

Time = (6,150 x 100) / (12,300 x 10)

Time = 5 years

Therefore, Anil borrowed the money for a period of 5 years. Simple interest is a type of interest calculation where the interest is calculated only on the principal amount borrowed or invested. It is calculated as a percentage of the principal amount, multiplied by the time period of the loan or investment. Simple interest does not take into account any interest earned on interest, unlike compound interest. It is a straightforward method used to determine the total amount to be repaid on a loan or the interest earned on an investment. Simple interest is commonly used in personal loans, small business loans, and short-term investments.

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find the volume of the solid generated when the region bounded by y 9x and y =27x/x is revolved about the​ x-axis.

Answers

The volume of the solid generated when the region bounded by y = 9x and y = 27x/x is revolved around the x-axis is given by V = 27lnx - 9x + c

To calculate this volume, we need to calculate the area of the cross-section of a shell at x.

The cross-section is found by taking the difference of the two curves, y = 9x and y = 27x/x, at that particular x in the form of a rectangle.

The height of the rectangle is y₂ - y₁ and the width is the interval dx. Therefore, the area of the cross-section is given by

A(x) = (y₂ - y₁)dx = [(27x/x - 9x)dx].

The volume of the solid is then given by the formula

=> V = ∫A(x)dx.

Substituting in the expression for A(x), we have

=>  V = ∫(27x/x - 9x)dx.

Integrating this expression, we get V = 27lnx - 9x + c, where c is an arbitrary constant.

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Judy bought some packs of gum. Each
pack contains 5 pieces, and she had
3 pieces left from an earlier pack. If p
represents the number of packs Judy
bought, which expression gives the total
number of pieces Judy has now?
A 3p + 5
B 3p-5
C 5p+3
D 5p-3

Answers

C is the answer of this question

adding and subtracting rational expressions. Complete the following steps to find the LCD and write the sum of the numerators for the given problem:1. x^2-3x-4 =2. x^2-6x+8 =The least common denominator is:(x-4)(x+___(3)____)(x-___(4)_____)

Answers

The least common denominator is [tex](x^2-3x-4)/(x-4)(x+1) + (x^2-6x+8)/(x-4)(x-2) = 2/(x-4)(x+1)(x-2)[/tex]

Simply put, a rational expression is the product of two polynomials. Or to put it another way, it is a fraction using polynomials as the numerator and denominator.

Reasonable expressions resemble fractions with variable denominators (and often numerators too).

For rational expressions, any value can be entered with the exception of those that set the denominator to 0 (because division by 0 is an undefinable operation).

In other words, all real numbers other than those that make a rational expression's denominator zero are included in the domain of a rational expression.

[tex]x^2-3x-4 = (x-4)(x+1)\\x^2-6x+8 = (x-4)(x-2)[/tex]

The least common denominator is: [tex](x-4)(x+1)(x-2)[/tex]

To add these two rational expressions, we need to rewrite each of them with the LCD as the denominator:

[tex](x^2-3x-4)/(x-4)(x+1) = [(x-4)(x+1)]/(x-4)(x+1)(x-2) = 1/(x-2)\\(x^2-6x+8)/(x-4)(x-2) = [(x-4)(x-2)]/(x-4)(x+1)(x-2) = 1/(x+1)[/tex]

So the sum of the numerators is 1 + 1 = 2.

Therefore,[tex](x^2-3x-4)/(x-4)(x+1) + (x^2-6x+8)/(x-4)(x-2) = 2/(x-4)(x+1)(x-2)[/tex]

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It is estimated that, during the past year, 27% of all adults visited a therapist and 43% of all adults used antidepressants. It is also estimated that 20% of all adults both visited a therapist and used a antidepressant during the past year.

(a)What is the probability that a randomly selected adult who visited a therapist during the past year also used antidepressants? Round your answer to the nearest hundredth.

(b)What is the probability that an adult visited a therapist during the past year, given that he or she used antidepressants? Round your answer to the nearest hundredth.

Answers

(a) To find the probability that a randomly selected adult who visited a therapist during the past year also used antidepressants, we use the formula:

P(A|B) = P(A and B) / P(B)

where A is the event that an adult used antidepressants, and B is the event that an adult visited a therapist. We are given:

P(A) = 0.43

P(B) = 0.27

P(A and B) = 0.20

Plugging these values into the formula, we get:

P(A|B) = 0.20 / 0.27 ≈ 0.74

Therefore, the probability that a randomly selected adult who visited a therapist during the past year also used antidepressants is approximately 0.74.

(b) To find the probability that an adult visited a therapist during the past year, given that he or she used antidepressants, we use Bayes' theorem:

P(B|A) = P(A|B) * P(B) / P(A)

where A and B are defined as before. We have already calculated P(A|B) and P(B), and we know:

P(A) = 0.43

Plugging these values into Bayes' theorem, we get:

P(B|A) = (0.74 * 0.27) / 0.43 ≈ 0.47

Therefore, the probability that an adult visited a therapist during the past year, given that he or she used antidepressants, is approximately 0.47.

What is the lateral surface area of the triangular prism shown below?

Answers

Answer: You only need to write the formula then rewrite it then multiply then add and then you divive by 2

Step-by-step explanation: it is the top of the shape which is 10cm2

suponga que usted se mueve sobre una pista rectilinea y se dezplaza a partir de un punto fijo 12 metro hacia la derecha avanza en la misma dirección 5 metro y luego se regresa en sentido contraria 18 metros la distancia entre el punto fijo y usted es

Answers

You are 1 meter behind the fixed point.

What is distance in kinematics?

The total path length covered by the moving body is called distance covered.

Given is that you move on a rectilinear track and move from a fixed point 12 meters to the right, advance in the same direction 5 meters and then return in the opposite direction 18 meters.

Total displacement = 12 + 5 - 18 = - 1

So, you are 1 meter behind the fixed point.

Therefore, you are 1 meter behind the fixed point.

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{Question in english -

Suppose you move on a rectilinear track and move from a fixed point 12 meters to the right, advance in the same direction 5 meters and then return in the opposite direction 18 meters, the distance between the fixed point and you is}

the function f is continuous and ∫80f(u)du=6. what is the value of ∫31xf(x2−1)dx?

Answers

Using integration by substitution, the value of ∫31xf(x^2-1)dx is 6.

What is the value using integration by substitution

To solve this problem, we can use integral by substitution.

Let's set u = x^2 - 1, then du/dx = 2x, or dx = du / (2x).

Using this substitution, we can rewrite the integral as:

∫(3^2-1)^(8^2-1) f(u) * (du / 2)

Next, we can use the fact that f is continuous and the integral of f from 8 to 0 is 6. We can split the integral into two parts:

∫(3^2-1)^(8^2-1) f(u) * (du / 2) = ∫0^(8^2-1) f(u) * (du / 2) - ∫0^(3^2-1) f(u) * (du / 2)

The first integral on the right-hand side is the integral we're given:

∫0^(8^2-1) f(u) * (du / 2) = 6

The second integral can be rewritten using our substitution:

∫0^(3^2-1) f(u) * (du / 2) = ∫(3^2-1)^(0) f(u) * (du / 2)

Notice that we've switched the limits of integration, which means we need to negate the integral:

∫(3^2-1)^(0) f(u) * (du / 2) = -∫0^(3^2-1) f(u) * (du / 2)

Substituting back into our original integral and using these results, we get:

∫(3^2-1)^(8^2-1) f(u) * (du / 2) = 6 - (-∫0^(3^2-1) f(u) * (du / 2)) = 6 + ∫0^(3^2-1) f(u) * (du / 2)

Finally, we can substitute back in for x and simplify to get our answer:

∫31xf(x^2-1)dx = (1/2) * ∫(3^2-1)^(8^2-1) f(u) * du = (1/2) * (6 + ∫0^(3^2-1) f(u) * du) = (1/2) * (6 + ∫0^8 f(u) * du) = (1/2) * (6 + 6) = 6

∫31xf(x^2-1)dx  = 6.

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Can someone help me?

Answers

Answer:

yeah sure, what you need?

How much water should be added to 14 mL of 14% alcohol solution to reduce the concentration to 7%?

Answers

We need to add approximately 14.86 mL of water to 14 mL of 14% alcohol solution to reduce the concentration to 7%.

First, let's figure out how much alcohol is in the first 14 mL of the 14% alcohol solution.

Alcohol is equal to 0.14 x 14 (14%) times 14%, or 1.96 mL.

We need to add water so that the amount of alcohol stays the same while the overall volume grows in order to lower the concentration to 7%.

Assume that x mL of water needs to be added.

The volume of the solution will be (14 + x) mL with the addition of x mL of water, while the amount of alcohol will remain at 1.96 mL.

The equation for the ultimate concentration can be written as follows:

1.96 mL / (14 + x) mL = 0.07

When we find x and simplify, we get:

x = (1.96 mL / 0.07) - 14 mL

x ≈ 14.86mL

In order to lower the concentration to 7%, we must therefore add around 14.86 mL of water to 14 mL of 14% alcohol solution.

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please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

A cone with height h and radius r has volume V = 1/3πr^2h. If a certain cone with a height of 9 inches has volume V = 3πx^2 + 42πx + 147π, what is the cone’s radius r in terms of x?

Answers

The cone’s radius r in terms of x is x + 7

How to determine tthe cone’s radius r in terms of x?

From the question, we have the following parameters that can be used in our computation:

Volume, V = 3πx^2 + 42πx + 147π

Height, h = 9

The volume of a cone is

V = 1/3πr^2h

Substitute the known values in the above equation, so, we have the following representation

1/3πr^2 * 9 = 3πx^2 + 42πx + 147π

So, we have

3πr^2 = 3πx^2 + 42πx + 147π

Divide by 3π

r^2 = x^2 + 14x + 49

So, we have

r = √(x² + 14x + 49)

Take the square roots of both sides

r = x + 7

Hence, the value of r is x + 7

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Find the sum: 9/10 9/100
A: 18/100
B: 90/100
C: 18/10
D; 99/100

Answers

Answer:

D: 99/100

Step-by-step explanation:

Find the sum: 9/10 9/100

A: 18/100

B: 90/100

C: 18/10

D; 99/100

9/10 = 90/100

so

90/100 + 9/100 = 99/100

Answer: D 99/100 I hope this helps

Step-by-step explanation:

9/10+9/100

Write all numerators above the least common denominator 100

90+9/100

Add the numbers 90+9 which would will give you your answer

99/100

what is -22 x -5 someone please helpppp

Answers

Answer:

110

Step-by-step explanation:

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