A bottle of lotion is shaped like a cylinder with a radius of 3 cm and a height of 12 cm. The empty tube inside the cylinder has a radius of 0.5 cm and is the same height as the bottle.Express your answer to one decimal place.

Answers

Answer 1
Answer: Vol of cylinder= pi*radius^2*height

3.14*(3^2)*12=339.12

3.14*(0.5^2)*12=9.42

339.12-9.42=329.7

The volume of lotion is 329.7cm^3

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Use long division to find the quotient below. (6x^3 - 29x^2 + 32x-14) ÷(2x-7)​

What is 67.142 rounded to the nearest ones?

Answers

67.142 rounded to the nearest ones is 67 cause the .1 is not .5 or greater.

name the subset(s) of real numbers to which the number zero belongs. choose all that apply. a. irrational numbers b. integers c. whole numbers d. natural numbers

Answers

whole numbers is my opion

Final answer:

The subsets of real numbers to which the number zero belongs are integers, whole numbers, and natural numbers.

Explanation:

The subsets of real numbers to which the number zero belongs are b. integers, c. whole numbers, and d. natural numbers.

  1. Integers: Zero is an integer because it can be represented as a whole number without a fractional or decimal part.
  2. Whole Numbers: Zero is also a whole number because it is not a fraction or a decimal and can be represented as a positive or non-negative integer.
  3. Natural Numbers: Finally, zero is considered a natural number by some mathematicians, but not all. It is important to note that the inclusion of zero in the set of natural numbers is a matter of convention.

Learn more about Real Numbers here:

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A triangle is placed in a semicircle with a radius of 4ftFind the area of the shaded region. Use the value 3.14 for π
, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

I found 9.12  ft^(2)
I used the fact that the shaded area should be equal to the area of the semicircle minus the area of the triangle:

Write the equation of the line, in slope-intercept form, with thefollowing information:
1
slope:
2
y-intercept: (0, 2)


Please help fast

50 points

Answers

Answer:

The answer to the question provided is y=1/2x+2

A software company is releasing one of their products on a CD. The manufacturer charges a $5,500 setup fee and $1.00 per CD. Approximately how many CDs must be produced so that the total cost per CD is $5.50? A) 1,222 CDs
B) 2,200 CDs
C) 1,571 CDs
D) 5,500 CDs

Answers

Given:
set-up fee 5,500
variable fee 1 per CD.

Cost per CD is $5.50

5.50 - 1= 4.50

5,500 / 4.50 = 1,222 CDs Choice A.

1*1,222 = 1,222
1,222 + 5,500 = 6,722
6,722/1,222 = 5.50

Answer:

It is actually 2,200, which is option B. I originally put option A but it said it was incorrect and told m eit was 2,200. I hope i was able to help ;)

Step-by-step explanation:

Which inequality will have a dashed boundary line with a shaded area above its graph? 7x − y ≤ 3 x − y ≤ 4 2x − 9y > 2 4x + 7y > 3

Answers

above the graph

look at them

7x-y <3
x-y<4
2x-9y>2
4x+7y>3

dashed boundary line means it does't include htat means taat the symbol is < or >

cross out first 2

one way is to graph the lines as equations and shade accordingly

2x-9y>2
y<2/9x+2/9
shade on bottom

4x+7y>3
y>-7/4x+3/9
shade on top


aswer is 4x+7y>3

Answer:

its D

Step-by-step explanation: