The joint variation that is given in the problem above can be expressed as follows:
w = k/d²
where w is the weight, k is the variation constant, and d is the distance from the center of the earth. Substituting the first scenario to obtain the value of k,
160 = k/(4000)²
k = 2.56 x 10^9
Using this value for the second scenario,
w = (2.56 x 10^9) / (8,000)² = 40 lbs
Thus, the weight of the man, 8000 miles above the center of the earth is 40 lbs.
Answer:
1/3 and 1.5
Step-by-step explanation:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15
There are 5 Multiples of 3 on the Spinner and 3 multiples of four.
5/15 is the probability for a multiple of 3 which can be simplified to 1/3
3/15 is the probability for a multiple of 4 which can be simplified to 1/5
Hope this Helps!
Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, 
if 
, and 
if 
.
For example,
- |2| = 2 because the input 2 is positive, so the input is unchanged;
- |-3| = -(-3) = 3 because the input -3 is negative, so the sign is switched.
What this means for this problem is that there are two cases to consider:
- If
, then 
, so that
- On the other hand, if
, then 
, so
Multiply and express as a mixed fraction
6 × 2 1/9
