Answer:
3.14
Step-by-step explanation:
Answer:
y=7(x-5)+3
Step-by-step explanation:
Understand that a decimal is any number written in the base-10 system. In common usage, the term "decimal" refers to a number that uses a decimal point to separate the ones place from tenths, hundredths, etc. Represent decimals using area models. State the fraction (tenths or hundredths) that is equivalent to a given decimal. Compare the values of decimals (tenths or hundredths) using area models and/or a number line. For example, compare the value of 0.8 and 0.21.Find a decimal that has a value between two other decimals. For example, find a decimal with a value between 0.3 and 0.4.
Answer:
Explanation:
<u>1. Volume of a cup</u>
The shape of the cup is a cylinder. The volume of a cylinder is:
The diameter fo the cup is half the diameter: 2in/2 = 1in.
Substitute radius = 1 in, and height = 4 in in the formula for the volume of a cylinder:
<u>2. Volume of the sink:</u>
The volume of the sink is 1072in³ (note the units is in³ and not in).
<u>3. Divide the volume of the sink by the volume of the cup.</u>
This gives the number of cups that contain a volume equal to the volume of the sink:
First, I'm going to separate factor the expression inside of the square root.
sqrt[ (2/18) * (x^5) ]
sqrt[ (1/9) * (x^5) ]
We can take the square root of 1/9 easily, because 1 and 9 are both perfect squares. The square root of 1/9 is 1/3.
Looking at the x^5, we can separate it into x^2 * x^2 * x^1. The square root of x^2 is x. So, we now also have an x^2 on the outside because there are two x^2s in our expanded form.
ANSWER: (x^2 * sqrt(x)) / 3
(Option 1)
Hope this helps!