Simplify: (x2 + 5x + 6)/ (x + 3)

The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of t

svetlana [45]

The given radius is = 60 feet

The volume of the sphere is given by = $\frac{4}{3} \pi r^{3}$

So we will find the volume of the sphere using radius as 60 and pi as 3.14

Volume = $\frac{4}{3}*3.14*60*60*60$ = 902059.20 cubic feet

As quarter of anything is defined as its one-fourth part, so here the volume of the quarter of sphere can be calculated by finding one fourth of the calculated volume.

So volume of quarter sphere = $\frac{902059.20}{4}$

= 225514.80 cubic feet

And rounding this to nearest whole number we get 225515 cubic feet as the answer.

3 0

2 years ago

A survey of the whole United States shows that 75% of 6th grade students like sports that involve running, that 60% of boys like

slamgirl [31]

Answer: 75% of 6th Grade Students

Step-by-step explanation:

This sample makes the most sense because it is a majority of everyone, not just a majority of certain people. Also, Mountain School would get fewer complaints from other people if they went with a majority of 75%. Finally, running sports usually cost less then other sports.

3 0

1 year ago

Dwayne buys ingredients to make a cake. He buys 1 1/2 pounds of flour, 12 ounces of coconut, and 1 1/4 pounds of sugar. What is

AVprozaik [17]

Answer:

3.05 or 31/2 pounds

56 ounces

Step-by-step explanation:

To find the total weight all the weights have to have the same units of measurements

It is either pounds is converted to ounces or ounces is converted to pounds

1. convert ounces to pound

1 ounce = 0.0625

12 ounces = 0.0625 x 12 = 0.75 pounds or 3/4

add together = 1 1/2 + 3/4 + 1 1/4 = $1\frac{1}{2} + \frac{3}{4} + 1\frac{1}{4}$

$2\frac{2 +3 + 1}{4}$ = $2\frac{6}{4}$ = 3 1/2

2. 16 ounces = 1 pound

flour = 16 x 1 1/2 = 24

sugar = 16 x 1 1/4 = 20

total = 24 + 20 + 12 = 56 ounces

6 0

3 years ago

Sin^2xcsc^2x=sin^2x+cos^2x

Otrada [13]

The second part = 1

the second part could be written sin²x.(1/sin²x), since cscx =1/sinx

hence 1 = 1

3 0

3 years ago

You have a small business making and delivering box lunches. You calculate your average weekly cost y of producing x lunches usi

kogti [31]

250 lunches are produced by the small business in last week.

Step-by-step explanation:

It is given that,

y ⇒ the average cost per week.
x ⇒ the number of lunches produced per week.

The function relating these two factors x and y is given as y = 2.1x + 75

The cost of the last week is y = $600.
The lunches made last week is x = unknown.

To find the value of x :

Substitute y= 600 in the given function,

⇒ 600 = 2.1x + 75

⇒ 2.1x = 600 - 75

⇒ x = 525 / 2.1

⇒ x = 250

Therefore, the lunches prepared last week is 250.

6 0

3 years ago