The expression below is a sum of cubes. 125x3 + 169

Answers

Answer 1
Answer:

Answer:

\text{The expression }125x^3+169\text{ is not the sum of cube}

Step-by-step explanation:

Given the expression

125x^3+169

we have to tell the above expression is the sum of cube

The sum of cube is of the form

a^3+b^3   →  (1)

Expression: 125x^3+169

125 is the cube of 5 and 169 is the square of 13

125x^3+169

(5x)^3+13^2

Comparing above with equation (1), we see the given expression is not the sum of cube

Answer 2
Answer: 125x^3 = (5x)^3
125x^3 is the cube of 5x.

169 = 13^2
169 is the square of 13, but not the cube of a rational number.

The statement is false.


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Ten years ago 53% of American families owned stocks or stock funds. Sample data collected by the Investment Company Institute indicate that the percentage is now 46% (the Wall Street Journal, October 5, 2012)a. Develop appropriate hypotheses such that rejection of H0 will support the conclusion that a smaller proportion of American families own stocks or stock funds in 2012 than 10 years ago.b. Assume the Investment Company Institute sampled 300 American families to estimate that the percent owning stocks or stock funds was 46% in 2012. What is the p-value for your hypothesis test?c. At α = .01, what is your conclusion?
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If h = 12 units and r = 4 units, what is the volume of the cone shown above? Use 3.14 for .

Answers

Answer:

≈ 201

Step-by-step explanation:

V= πr²h/3

V= 3.14*4²*12/3= 200.96 ≈ 201

The volume of the cone is 201.06 units³.

The volume of a cone is given by the formula:

Volume = (1/3) * π * r² * h

where r is the radius of the base and h is the height of the cone.

In this case, r = 4 units and h = 12 units. Using 3.14 for π, we can calculate the volume of the cone as follows:

Volume = (1/3) * 3.14 * 4² * 12

Volume = 201.06 units³

Therefore, the volume of the cone is 201.06 units³.

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I need help please ​

Answers

Answer-44


You can turn both of the denominators ( bottom numbers on the fractions ) into 120 ( the whole number ) and the top numbers can be multiplied by how many times the denominators went into 120. Then add the top numbers which equals 76 and then 120-76=44. Hope that kinda helps !!

How to you simplify: ​

Answers

Answer:

2

Step-by-step explanation:

First you must use distributive property on the numberator. You multiply 4 with 8, then 4 with 2. It will look like this: 32-8. Then you solve, it equals 24. Then add the denominator, which equals 12. Lastly, divide 24 by 12, which gets you 2.

Answer:

2

Step-by-step explanation:

4(8-2)/3+9

First subtract 8 by 2

8-2=6

4(6)/3+9

Now multiply 4 and 6

4(6)=24

24/3+9

now add 3 and 9

3+9=12

24/12

now divide the top by the bottom

24/12=2

Hope This Helps :)

8.A recipe calls for 4 cups of dry ingredients. Of the 4 cups, 1 cup
is flour. What is the ratio of cups of flour to cups of
other dry ingredients used in the recipe? write as a fraction

Answers

I think the answer here is 1/3.

1 being the cup of flour and 3 are the remaining cups of other ingredients.

Gregg has 12 cards. Half are black, and half are red. He picks two cards out of the deck. What is the probability that both cards are red

Answers

The solution is, the probability that both cards are red is 5/22.

What is probability?

Probability can be defined as the ratio of the number of favorableoutcomes to the total number of outcomes of an event.

here, we have,

given that,

Gregg has 12 cards.

Half are black, and half are red.

i.e. red = 6 & black = 6.

He picks two cards out of the deck.

now, we have,

Probability of a red card out of 12 cards = 6/12 = 1/2

Now, probability of a red card of 11 cards = 5/11

so, we get,

Combined probability = 1/2 * 5/11 = 5/22

Hence, The solution is, the probability that both cards are red is 5/22.

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Probability of a red card out of 12 cards = 6/12 = 1/2
Now, probability of a red card of 11 cards = 5/11

Combined probability = 1/2 * 5/11 = 5/22

In short, Your Answer would be 5/22

Hope this helps!

Caroline needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 2.75 hours and charged her $114 for parts. The total was $320.25. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.​

Answers

2.75(x)+114=320.25
-114 -114
2.75(x)=206.25
/2.75. /2.75
X=75

It costs 75$ per hour


This is because we don’t know how much they charge per hour but we know the number of hours spend working on the computer, so you have to do 2.75(x) where x represents the cost per hour And we also know that the cost of the part is $114 so we have to add that to
(2.75(x)+114) the equation then finally you have to make the expression equal to 320.25 since we know the final cost so

2.75(x)+114=320.25

Final answer:

The equation to solve this problem is 114 + 2.75x = 320.25. Solving this equation, we find that the cost of labor per hour, represented by x, is $75.

Explanation:

The problem you're trying to solve involves the labor cost per hour of the technician who worked on Caroline's computer. From the problem, we know that the total cost of the repair was $320.25. This includes the cost of parts, which was $114, and the labor the technician invested, which we know took 2.75 hours but we aren't sure of the per hour cost. Let's denote this unknown cost as x. Therefore, our equation would be 114 + 2.75x = 320.25.

We can solve for x, the cost of labor per hour, by isolating this variable on one side of the equation. Firstly, subtract 114 from both sides: 2.75x = 320.25 - 114 which results in 2.75x = 206.25. Then, divide both sides by 2.75 to find x: x = 206.25/2.75 which equals $75. Therefore, the cost of labor per hour is $75.

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