Please help me with question 10 (i). Thanks!

Answers

Answer 1

Answer: V=πr²h+(2/3)πr³
πr²h+(2/3)πr³=V
πr²h=V-(2/3)πr³
h=(V-(2/3)πr³) / (πr²)
h=V/πr² - 2/3r

Answer i: h=V/πr² - (2/3)r

Data:
V=245
r=7

h=(245 / 49π) - (14/3)
h=(5/π) - (14/3)
h=(15-14π)/3π
h=-3.075

Answer ii: h=-3.075

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41 divided by 100 as a fraction
The Computer Store has reduced the price of a computer by 15%.What is the original price of the computer if the sale price is $1275?
6x2y – 2x2y – 10x2y + 8x2y =

Write the expression without the fraction bar.y to the 3rd power
--------------------------
y to the 7th power

Answers

for problems like this you can move the y's on the bottem up top by fliping the sign of the exponent (in this case 7 to -7) and MULTIPLYING it with EVERYTHING on top, then because of properties of multplication you can add the exponents to combine them into one term (in this case add 3 and -7 to get -4) $( y^(3) )/(y^(7))=y^3 *y^(-7) = y^(3+-7)=y^(3-7)=y^-4$ If any of this does not make sense let me know and ill try to clarify better

$(y^3)/(y^7)=y^(3-7)=y^(-4)$

Which situation shows a constant rate of change?A. The outside temperature compared with the time of day

B. The cost of a bunch of grapes compared with its weight

C. The height of a bird over time

D. The number of tickets sold compared with the number of minutes before a football game

Answers

The answer is most likely B. :)

Need help pleaseeeee:)

Answers

Answer:

75 + 64 = 139

Step-by-step explanation:

The measure of the exterior angle is 139

Answer:

2= 139

Step-by-step explanation:

A triangle is 180 degrees.

64+75= 139

180-139=41

A line is also 180 degrees

180- 41= 139

What percent is equivalent to the fraction 37/50?

Answers

Since percent is mostly common as a fraction with a denominator of 100, we'll convert the fraction 37/50 to x/100. To convert 50 to 100, you multiply 50 by 2, so you are also going to multiply 37 by 2, which is 74. Now we have the fraction 74/100, so now since the fraction is over 100, we can convert it to a percentage.

So 74% is equal to the fraction 37/50.

The given fraction is equivalent to a percentage of 74%.

One of the parts of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator is divided by the denominator.

When a fraction of a whole is represented as a number between 0 and 100, it is called a percentage.

To calculate a percentage, multiply the result by 100 after dividing the part of the whole by the entire.

The given fraction is 37/50. In order to calculate the percentage of this fraction, first we need to find the value of this fraction and then multiply the resulting value with 100.

So,

37/50 = 0.74

Multiplying the value with 100,

Percentage of 0.74 = 0.74 x 100 = 74%

To learn more about percentage, click:

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twelve less than four times some number n is at least three more than the number. What values are possible for n?

Answers

4n -12 >n
4n > n + 12
3n > 12
n > 4
So 5,6,7,8,9, and so on

Answer:

10.

n/2 +12 - 4

4/2 + 12 - 4

2 + 8

A jar contains 7 blue cubes,4 blue spheres, 5 green cubes, and 6 green spheres. If you select an object at random, what is the probability that the object is green or a cube?

Answers

The answer is 9/11.

The addition rule is used to calculate the probability of one of the events from multiple pathways. If you want that only one of the events happens, you will use the addition rule. So, we need to calculate the probability of two different events - the one is that the object is green, and the other is that the object is a cube.
1. The probability that the object is green:
There are 22 objects in total (7 blue cubes + 4 blue spheres + 5 green cubes + 6 green spheres = 22 objects).
There are 11 green objects (5 green cubes + 6 green spheres = 11 green objects).
So, there are 11 green objects out of 22 objects. Therefore, the probability that the object is green is 11/22.

2. The probability that the object is the cube:
There are 22 objects in total (7 blue cubes + 4 blue spheres + 5 green cubes + 6 green spheres = 22 objects).
There are 12 cube objects (7 blue cubes + 5 green cubes).
So, there are 12 cube objects out of 22 objects. Therefore, the probability that the object is green is 12/22.

Now, using the addition rule, we could calculate the probability that the object is green or a cube:
11/22 + 12/22 = 23/22
But, we counted 5 green cubes in both events and need to subtract them:
23/22 - 5/22 = 18/22 = 9/11

Probability of Multiple Events

1. d. taking 2 marbles from a box...

2. b. 0.1804

3. c. rolling an even number...

4. c. 42%

5. c. 9/11

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