MATHEMATICS HIGH SCHOOL

IAcellus
Find the volume of the cone.
5
Diameter: 14 m, Slant Height: 25 m
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Round to the nearest whole number.
Volume
[?] m3
I Acellus Find the volume of the cone. 5 Diameter: - 1

Answers

Answer 1
Answer:

The volume of the cone to the nearest whole number is 1283 m³

How to determine the volume

Formula for volume of a cone = \pi r^2(h)/(3)

Slant height = 25m

If diameter = 14m , radius = 14/2 = 7m

Pie = 22/7

Substitute values into formula

We have,

Volume = 3. 142 * 7 * 7 * (25)/(3)

Volume = 1,282. 98

Volume = 1283 m^3 in the nearest whole number

Thus, the volume of the cone to the nearest whole number is 1283 m³

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Answer 2
Answer:

Final answer:

The volume of a cone with a diameter of 14 m and slant height of 25 m is 1232 m³, when rounded to the nearest whole number.

Explanation:

To find the volume of the cone, one can use the formula, which is V = 1/3πr²h, where V is the volume, r is the radius, and h is the height. But in the provided case, we have the cone's diameter and slant height instead of the radius and height. Given that the diameter is 14m, the radius would be half of the diameter, so r = 14/2 = 7m. Also, considering the cone as a right-angled triangle, we can use the Pythagorean theorem to find the height. So, h = sqrt((Slant height)² - r²) = sqrt((25)² - (7)²) = 24m. Now, we substitute the values of r and h into the formula for volume of a cone.

V = 1/3 * π * (7)² * 24 = 1232 m³

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Peyton plans to deposit her next paycheck into her savings account.she makes $12.50 per hour and her next paycheck will be h hours of work the expression 12.50h + b represents the amount of money in her savings account after she deposits her next paycheck what does b represent in the expression

Answers

The b in the expression 12.50h + b represents the amount already in the saving account before depositing the next paycheck.

What is an expression?

An expression is a sentence with a minimum of two numbers or variables and at least one operation such as addition, subtraction, multiplication, or division.

We have,

The amount earned per hour = $12.50

The amount earned in her next paycheck = $12.50h

where h = number of hours

The expression that represents the amount of money in her savings account after depositing the next paycheck:

= 12.50h + b

We need to find what b represents in this expression.

b will represent the amount already in the saving account before depositing the next paycheck.

Thus the b in the expression 12.50h + b represents the amount already in the saving account before depositing the next paycheck.

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Answer: Current savings account balance

Step-by-step explanation:

since the equation is y = mx + b

mx would be the starting point so she earns 12.50 per hour so it's the current amount she has is 12.50.

Sorry if it dosen't make sense.

The correlation coefficient that models the relationship between the amount of time Jason spends working out and the amount of weight he loses is −0.9547. What is the correct interpretation of this number?

Answers

Answer:

The correlation coefficient is close to -1. There is a strong negative correlation between the amount of time spent working out and the amount of weight lost.

Step-by-step explanation:

I did it on USATestprep.  -0.9547 is close to -1. This indicates a strong negative correlation. When the workout time increases, Jason's weight decreases.

Order these numbers from least to greatest. −10.7 , −113 , 10710 , −12011

Answers

When dealing with negative numbers, the higher the number, the less it is. So, the lowest number is -12,011. Then, it would be -113, -10.7, and finally 10,710 because it is the only positive number. The final order is:

-12,011, -113, -10.7, 10,710

In a survey at a local​ university 35%, of students say that they get less than the recommended eight hours of sleep per night. In a group of 2000 ​students, how many would you expect get eight or more hours of sleep per​ night?

Answers

Answer:

1,500 students

Step-by-step explanation:

Since in the question it is mentioned that 35% of students get less than 8 hours of sleep

And, there is a group of 2,000 students

Now the number of students who get eight or more hours per night sleep is

Suppose the total percentage be 100

Now the students more than 8 hours is

= 100 - 35%

= 0.75

And, the total students is 2,000 students

So, the number of students who get eight or more hours is

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The same is to be considered

If x > y and y > z, then x > z. This describes which ordinal scale preference? A. Asymmetry B. Transitivity C. Negative transitivity D. None of the above

Answers

Answer:

Step-by-step explanation:

d

Final answer:

The given statement 'If x > y and y > z, then x > z' describes the concept of transitivity in ordinal scales.

Explanation:

The given statement 'If x > y and y > z, then x > z' describes the concept of transitivity in ordinal scales. Transitivity is the property that allows us to compare elements in a set based on their relationships with other elements. In this case, if x is greater than y and y is greater than z, then we can conclude that x is also greater than z.

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You sell pies at a farmers' market for $7.50 each. Five people want to share a pie by splitting the cost equally. How much will each of them need to pay to buy a whole pie together?

Answers

Answer:

Each of them need to pay to buy a whole pie together = $1.50

Step-by-step explanation:

Unit rates defined as the rates are expressed as a quantity of 1, such as 7 feet per second or 9 miles per hour, they are called unit rates.

As per the statement: You sell pies at a farmers' market for $7.50 each.

⇒ Cost of each pie = $7.50

Also, five people want to share a pie by splitting the cost equally.

Number of people = 5

then, by definition of unit rate;

unit rate per people = (Cost of whole pie)/(Number of people) = (7.50)/(5) = \$1.50

Therefore, $1.50 will each of them need to pay to buy a whole pie together.
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