Answer:
Step-by-step explanation:
We need to find the LCM of 12 and 9.
<u>Their LCM is:</u>
- LCM(12, 9) = 2*2*3*3 = 36
Number of light fixtures and light bulbs is 36.
<u>Number of packages will be:</u>
- 36/12 = 3 and
- 36/9 = 4 respectively.
When estimating, compatible numbers are numbers that are close in value to the actual numbers, and which make it easy to do mental arithmetic.
Answer:
Step-by-step explanation:
A. 4.2E6 because when putting a number into scientific notation, you would want one number in front of the decimal place and then the trailing numbers would follow. The exponent or E stand for how many numbers are after the decimal, which in this case would be 6.
4,200,000 → 4.2 x 10^6 which is equal to saying 4.2E6
Tip: If the exponent is negative than the decimal would go in the opposite direction. For example:
4,200,000 → 4.2 x 10^-6 would not equal each other because 4.2 x 10^-6 means 0.000004, six numbers would be behind the decimal.
In order for the ball to be used in the game, it must be able to meet the minimum and maximum weight requirements. These are the limits of the weight of the ball. If it exceeds the maximum limit of 16 ounces or below the minimum limit of 14 ounces, the ball will not be approved.
So, by adding 1.5 ounces, that would mean that the initial weight of the ball did not reach the minimum limit. The initial weight of the ball, denoted as x, have two possible values. The first value is the initial weight plus added with 1.5 ounces would reach 14 ounces.
x + 1.5 = 14
x = 12.5 ounces
The other scenario is when the initial weight is added to reach the maximum requirement of 16 ounces
x + 1.5 = 16
x = 14.5 ounces
From both answer, we could conclude that the initial weight has to be 12.5 ounces. If the initial weight were 14.5 ounces to begin with, there should be no need for air. It cans till be approved to be used.
Given:
and 
.
To find:
The value of f(5).
Solution:
We have,
For 
,
For 
,
For 
,
For 
,
Therefore, the value of 
is 
.
