What is the product of a fraction multiplied by its multiplicative inverse? Justify your answer with an example

To solve this problem, we need to use the formula for the volume of a cylinder, V = wrh, where w is the width of the cylinder (which we can assume is constant).

We know that the radius of the cylinder is increasing at a rate of 3 centimeters per minute, so we can write:

dr/dt = 3 cm/min

We also know that the radius of the cylinder is always half of its height, so we can write:

r = h/2

or

h = 2r

We can use this equation to express the height in terms of the radius:

h = 2r

dh/dt = 2(dr/dt)

Now we can substitute these expressions into the formula for the volume of the cylinder:

V = wrh

V = wr(2r)

V = 2wr^2

To find how fast the volume is changing, we need to take the derivative of V with respect to time (t):

dV/dt = 4wr(dr/dt)

We know that the volume of the cylinder is 100 cubic centimeters, so we can substitute this value for V:

100 = 2wr^2

r^2 = 50/w

Now we can substitute this expression for r^2 into the equation for dV/dt:

dV/dt = 4wr(dr/dt)

dV/dt = 4w(50/w)^(1/2)(3)

dV/dt = 6(50w)^(1/2)

dV/dt = 15(2w)^(1/2)

Therefore, when the volume of the cylinder is 100 cubic centimeters, the volume is increasing at a rate of 15(2w)^(1/2) cubic centimeters per minute.

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The average number of miles he will ride each day to meet his goal is 6.6 miles

He wants to ride his bicycle 30.4 miles this week.

He has already ridden 4 miles.

He rides 4 more days.

Therefore, the average number of miles he would have to ride each day to meet his goal can be calculated as follows:

let

x = number of miles driven

Hence, the equation can be represented as follows;

4x + 4 = 30.4

Therefore,

4x + 4 = 30.4

4x + 4 - 4 = 30.4 - 4

4x = 26.4

x = 26.4 / 4

x = 6.6

Therefore, the average number of miles he will ride each day to meet his goal is 6.6 miles

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We need a sample size of at least 2 subjects to estimate the average number of books Americans read each year with a margin of error of 0.57 books and 80% confidence.

To determine the number of subjects needed to estimate the average number of books Americans read each year with a margin of error of 0.57 books and 80% confidence, we can use the formula:

n = (Z * σ / E)^2

Where:
n = sample size needed
Z = Z-value corresponding to the desired level of confidence (in this case, 80% confidence corresponds to a Z-value of 1.28)
σ = standard deviation of the population (unknown in this case)
E = desired margin of error (0.57 books)

Since the standard deviation of the population is unknown, we can use a conservative estimate of 0.5 for σ. Plugging in the values:

n = (1.28 * 0.5 / 0.57)^2
n ≈ (0.64 / 0.57)^2
n ≈ 1.122^2
n ≈ 1.259

Since we can't have a fraction of a subject, we need a sample size of at least 2 subjects to estimate the average number of books Americans read each year with a margin of error of 0.57 books and 80% confidence.

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The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression. To do this, we need to assign a variable to the unknown number and then use multiplication and subtraction to represent the given information.

Let x be the unknown number. The product of three and x is 3x. Twelve less than 3x is 3x - 12. Therefore, the algebraic expression for "twelve less than the product of three and a number" is 3x - 12. This expression represents a value that is 12 less than three times the number x.

For instance, if we know that a number is 7, we can use this expression to find the value of "twelve less than the product of three and 7."3x - 12 = 3(7) - 12= 21 - 12= 9Therefore, the value of "twelve less than the product of three and 7" is 9. We can also use this expression to write an equation and solve for x. For example, if we know that the value of "twelve less than the product of three and a number" is 33, we can write an equation:3x - 12 = 33Then, we can solve for x:3x = 33 + 123x = 45x = 15. Therefore, the unknown number is 15.

To summarize, the phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

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Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

Answer:

continuous becasue the arrows point out meaning the go on forever

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Divide the coefficient of the x term by 2, then square the result. This number will be added to both sides of the equation. For the quadratic equation x2+4x=96, the coefficient of the x term is 4.

Answer:

1 1/9

Step-by-step explanation:

5/6 ÷ 3/4 = ?

5/6 x 4/3

5 x 4

-------   =   20/18 = 1 2/18 = 1 1/9

6 x 3

The classification system that corresponds to the description "Uses numbers" is the Dewey Decimal System. And The classification system that corresponds to the description "Uses letters" is the Library of Congress System. And, The classification system that corresponds to the description "Used internationally" is the Library of Congress System.

The approach which categorizes all knowledge into twenty-one fundamental categories, each denoted by a single alphabetic letter. The majority of these alphabetical classes are then broken down into more specialized subclasses that are distinguished by two-letter, or sporadically three-letter, combinations.

Libraries classify books according to subjects using the Dewey Decimal categorization system. The shelfmark number assigned to each book is placed in numerical order and is typically located on the spine.

The Dewey Decimal System is a system of classification used in libraries to organize books by subject. It uses a system of numbers to represent different subjects, with each number representing a specific topic or group of topics. For example, the number "500" represents the subject of natural sciences and mathematics, while the number "800" represents literature and rhetoric.

The Library of Congress System is another system of classification used in libraries to organize books by subject. It uses a combination of letters and numbers to represent different subjects, with each letter representing a specific subject area and each number representing a specific topic within that subject area. For example, the letter "A" represents general works, while the letter "Z" represents bibliography and library science.

The Library of Congress System is used internationally in many libraries around the world, while the Dewey Decimal System is used mainly in the United States.

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Uses numbers: Dewey Decimal System

Uses letters: Library of Congress System

Used internationally: Dewey Decimal System

Used mainly ins U.S. colleges and universities: Library of Congress System

This is 100% correct

Answer:

The answer would be C, Both I and II.

Step-by-step explanation:

You can find an attached file which shows the scenarios incase your confused.

Answer:

340

Step-by-step explanation:

289=85%*x

289=.85*x

289/.85=x

x=340

Answer:

5.6ft squared

Step-by-step explanation:

4x7 = 28 divided by 5 which is 5.6

1. 3(n+5)

2. 6w-15w=-9w=-9(w)

3. 4(x+5)

4. y(4-z)

5. 3v(1-2z)

6. 2y(3-7z)

7. 7x-3x=4x=4(x)

Answer:

- 100

Step-by-step explanation:

20 x 5 = 100

It's -100 because he's going down

Answer:

260 miles

Step-by-step explanation:

Answer:

260

Step-by-step explanation:

you would divide 390 by 6 to see how many hours were  per hour, which is 65. You would then multiply it by 4 to see how far they drove in 4 hours, and you get 260. To prove this is right for sure you could multiply 65x2 which is 130 and add 130+260 which would make up the 6 hours and you’d get 390

Given that a is in Quadrant 2 and sin(a) =, we need to calculate the value of a. However, the value of sin(a) is missing in the question.

Please provide the value of sin(a) to proceed further. Similarly, given that B is in Quadrant 1 and tan(B) = 1, we need to calculate the exact answers for sin(2/3), cos(26), and tan(23).Here are the steps to calculate the exact answers for sin(2/3), cos(26), and tan(23):Given that B is in Quadrant 1 and tan(B) = 1:Since

tan(B) = opposite / adjacent We can assume opposite side as x and adjacent side as 1. Therefore, we get:

Tan(B) = opposite / adjacent

=> 1 = x/1

=> x = 1 Hence, the opposite side in the right triangle is 1.

Now, we can use the Pythagorean Theorem to find the adjacent side. Using the Pythagorean Theorem, we get:

hypotenuse^2 = opposite^2 + adjacent^2

=> hypotenuse^2 = 1 + 1

=> hypotenuse = √2a.

sin(2a) = sin 16/9 Given that a is in Quadrant 2, the value of cos(a) is positive and sin(a) is negative.

sin(a) = -16/9

cos(a) = sqrt(1 - sin^2(a)

= sqrt(1 - (256/81))

= sqrt(25/81)

= 5/9cos(2a)

= cos^2(a) - sin^2(a)

= (5/9)^2 - (16/9)^2

= 25/81 - 256/81= -231/81

tan(2a) = (2tan(a))/(1 - tan^2(a)

)= 2 * (-16/9) / (1 - (-16/9)^2)

= -32/145 Given that B is in Quadrant 1 and

tan(B) = 1:b. cos(26)We know that

cos(90 - 26) = sin(26) and

sin(90 - 26) = cos(26)

cos(90 - 26) = sin(26)

= sin(64)= cos(26)c. tan(23) We can use the identity

tan(2x) = 2tan(x) / (1 - tan^2(x))

tan(2*23) = tan(46)

= 2tan(23) / (1 - tan^2(23))

=> 1/tan(46) = 2/tan(23) - tan(23)

=> tan(23)

= (2 / tan(46)) + tan(46) We know that

tan(90 - 46)

= cot(46)

= cot(44)

= 1/tan(44) Substituting this value, we get

tan(23) = (2 / (1/tan(44))) + (1/tan(44))

= 2tan(44) + tan(44)

= 3tan(44)

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Based on your question and the terms provided, it appears that you are referring to a normal distribution with a mean of 75 and a standard deviation of 10. In a normal distribution, approximately 95% of the data values fall within two standard deviations of the mean. In this case, that would be between 55 and 95. A low p-value typically indicates that the observed data is unlikely to occur by chance alone, suggesting that there may be a significant effect or relationship between variables.

1. If the histogram of a data set is symmetric and bell-shaped with a mean of 75 and standard deviation of 10, then approximately 95% of the data values were between 55 and 95. This is because in a normal distribution, approximately 95% of the data falls within two standard deviations of the mean. In this case, two standard deviations below the mean is 55 (75 - 2(10)) and two standard deviations above the mean is 95 (75 + 2(10)). Therefore, approximately 95% of the data values fall between 55 and 95.

2. Without more context, it is unclear what you are asking about a low p-value. A low p-value typically indicates that the observed data is unlikely to have occurred by chance alone, and may suggest that there is a significant effect or relationship between variables being studied. However, the specific interpretation of a low p-value depends on the specific statistical test being used and the significance level chosen.

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Answer:

x=-1

Step-by-step explanation:

-9x+18-18=27-18

-9x=9

-9x/-9 = 9/-9

x=-1

Answer:

-1

Step-by-step explanation:

Significantly, the statement is true. The quote is an important factor in determining the outcome of the contract. The statement is true.

Simple linear regression analysis is a type of regression analysis that seeks to establish a connection between two variables. In this method, two variables are considered: one independent variable and one dependent variable. The data is analyzed to find a linear relationship between the two variables that can be used to predict future values of the dependent variable based on the independent variable.

A significant linear relationship was discovered between the dollar amount of the quotes provided and the likelihood of winning a contract.

As a result, a sales manager must take this into account when determining the amount of the quote provided to win a contract.

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Step-by-step explanation:

please see it my steps to work this problem

Answer:

IG it is 2

Step-by-step explanation:

ur acc got something hahhah

To find f(-x), we substitute -x for x in the given function:

f(-x) = 2(-x)^3 + 1/(-x)

Simplifying,

f(-x) = -2x^3 - 1/x

To find -f(x), we negate the entire function:

-f(x) = -(2x^3 + 1/x)

= -2x^3 - 1/x

Now let's determine whether the function is even, odd, or neither.

A function is even if f(x) = f(-x) for all values of x. In this case, we can see that f(-x) = -2x^3 - 1/x, which is not equal to f(x) = 2x^3 + 1/x. Therefore, the function is not even.

A function is odd if -f(x) = f(-x) for all values of x. In this case, we can see that -f(x) = -(-2x^3 - 1/x) = 2x^3 + 1/x. Similarly, f(-x) = -2x^3 - 1/x. We can observe that -f(x) = f(-x), so the function is odd.

Therefore, the given function f(x) = 2x^3 + 1/x is odd.

Answer:

Function is odd.

f(-x) = -2x^3-1/x

-f(x)=-2x^3-1/x

Step-by-step explanation:

f(-x) -> f(x) = 2(-x)^3+ (1/-x) which equals -2x^3 - 1/x.

-f(x) = -2x^3- 1/x.

Since f(x) doesn't equal f(-x), the function isn't even.

Since f(-x)=-f(x), the function is odd.

Hope this helps have a great day!

By the way, do you play academic games?

Someone else in the world may watch it but personally i do not.

Answer:

Please Give Brainliest

Step-by-step explanation:

The most appropriate choice for ascending order will be given by-

\(-\sqrt{25}\), 4.79, \(4\frac{19}{28}\), \(4.\bar{8}\) is in ascending order

What is ascending order?

Suppose there is a series of numbers. The numbers will be in ascending order if the numbers are arranged from their least value to their greatest value.  

The sorting of numbers in ascending order plays a very important role in statistics for calculation of median, quartiles, decile and percentile.

Here,

4.79 = 4.79

\(4\frac{19}{28} = 4 + \frac{19}{28} = 4.68\\\)

\(4,\bar{8} = 4.8888..... = 4.89\)

\(-\sqrt{25} = -5\)

-5< 4.68< 4.79< 4.89 is in ascending order

So, \(-\sqrt{25}\)< \(4\frac{19}{28}\)< 4.79, \(4.\bar{8}\) is in ascending order.

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It is more common to report the standard deviation for grouped data rather than variance for grouped data because the standard deviation is easier to interpret and compare between different groups.

The variance is a measure of the spread of the data, but it is not in the same unit as the original data, making it difficult to interpret. The standard deviation, on the other hand, is in the same unit as the original data, and it provides a more intuitive measure of the spread of the data.

Additionally, the standard deviation can be used to calculate confidence intervals and perform hypothesis tests, which are important statistical tools for analyzing grouped data. Overall, the standard deviation is a more useful and informative measure of variability for grouped data than the variance.

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Answer:

um 2x=45 because it is alternate interior

Step-by-step explanation:

2x=45

divide both by 2

x=22.5

Answer:

ONK is a straight line. find 180 degrees

105 + 45 = 150

180 - 150 = 30

angle knl = 30 degrees

KLM is a straight line. find 180 degrees

angle lmn = 90 degrees

180 - 90 = 90 degrees

angle nlk = 90 degrees

180 degrees in a triangle

90 + 30 = 120

2x = 120

X= 60 degrees

Answer:

Bracelets are the same price as comic books

Step-by-step explanation: