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3 years ago

In the Volume of Cylinders, Cones and Spheres section, what is the volume of a sphere with a radius of 6in? *

Mathematics

1 answer:

Rudiy273 years ago

4 0

Answer:

The volume of the sphere is 288π in³

Step-by-step explanation:

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius

V = ⁴⁄₃πr³

V = ⁴⁄₃ * π * (6in)³

V = π * ⁴⁄₃ * 216 in³

V = 288π in³

The volume of the sphere is 288π in³

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Se vendieron un total de 297 boletos para la obra de teatro escolar. Los boletos eran o de adulto o de estudiante. El número de

aev [14]

Answer: x boletos de adulto

2x boletos de estudiante

x+2x=288

3x=288

x=288/3

x=96

adulto =96

estudiante 2*96=192

96+192=288

Step-by-step explanation: 96 y 192

4 0

3 years ago

For which value of X is the row in the table of values incorrect? The function is the quadratic function Y=3/4x^2

svet-max [94.6K]

Answer:

The row with x = 2 and y = 4 is incorrect. The y value should be y = 3 when x = 2.

==============================================================

Explanation:

Fractions can be a bit of a pain, so I'm going to be converting to decimal form to help with the computation; however, I will convert the y value results to mix number form so that it matches what the table shows.

Keep in mind that 3/4 = 0.75 when you use a calculator or long division. So a number like 2.75 means 2 & 3/4 (two and three quarters)

---------------

Let's check the first row. Plug in x = 0 and it leads to...

y = (3/4)*x^2

y = (3/4)*0^2

y = (3/4)*0

y = 0.75*0

y = 0

This shows us that row 1 is correct. When x = 0, y = 0 leading to (x,y) = (0,0).

-------------

Repeat the same basic outline of steps, but now use x = 2

y = (3/4)*x^2

y = (3/4)*2^2

y = (3/4)*4

y = 0.75*4

y = 3

So instead of 4, the proper y value is y = 3 when x = 2. This means row 2 is the answer (the row that has the incorrect values).

-------------

For the sake of completeness, let's see if the third row is correct or not. Plug in x = 3

y = (3/4)*x^2

y = (3/4)*3^2

y = (3/4)*9

y = 0.75*9

y = 6.75

y = 6 & 3/4

We see that x = 3 points to y = 6 & 3/4, so we have the correct values in this row. We can cross this off the list of choices.

-------------

Finally, let's check x = 5

y = (3/4)*x^2

y = (3/4)*5^2

y = (3/4)*25

y = 0.75*25

y = 18.75

y = 18 & 3/4

We get the proper y value. So we can also cross this off the list.

5 0

3 years ago

Find the unit rate: 6 and 2/5 rotations in 2 and 2/3 seconds.

GrogVix [38]

I'd suggest you write "6 2/5," not "6 and 2/5."

6 2/5 rotations
-------------------- =
2 2/3 seconds

32
---
5 32 3
------- = ------ * -----
8 5 8 Reduce that 32/8: obtain 4.
---
3

Then we have

4(3)/5, or 12/5 rotations per sec.

4 0

3 years ago

You purchase a car worth $25077 and make a down payment of $3560. You intend to repay the balance of the car with month end car

zubka84 [21]

Answer:

value of buyout is $4185.74

Step-by-step explanation:

given data

car worth = $25077

down payment = $3560

monthly payment = $336 = 336 × 6 = $2016 per semi annually

time = 5 year = 10 half yearly

rate = 4.04 %

to find out

value of final buyout

solution

we know here loan amount will be 25077 - 3560 = $21517

and we find present value first by formula that is

present value = $\frac{amount(1+r)^t - 1}{r (1+r)^t}$

put here t = 10 and r = $\frac{4.04}{200}$

present value = $\frac{2016(1+\frac{4.04}{200})^10 - 1}{r (1+\frac{4.04}{200})^10}$

present value = 18089.96

loan unpaid amount is here

loan unpaid amount = 21517 - 18089.96

loan unpaid amount = $3427.04

now we calculate value of buyout

that is express as

amount = principal × $(1+r)^{t}$

amount = 3427.04 × $(1+\frac{4.04}{200})^{10}$

amount = 4185.74

so value of buyout is $4185.74

7 0

4 years ago

We are learning how to find the volume of a prism. Look at the picture and please help me understand it I need the answer

Arturiano [62]

The volume is 96.
v=l*w*h
v=6*3*3=54
v=2*3*7=42
54+42=96

Hope this helps

6 0

4 years ago