Answer
Find out the how many boxes of paper can the forklift move at one time .
To proof
Let us assume that the number of boxes be x.
As given
A forklift can carry up to 2500 pounds.
You want to move boxes of paper which each weigh 140 pounds.
The paper boxes are supported on one pallet which weighs 50 pounds.
Than the equation is become in the form
140x +50 ≥ 2500
140x ≥ 2500 - 50
140x ≥ 2450
x ≥ 17.5
Therefore the 18 boxes of paper can the forklift move at one time .
Hence proved
Answer:
The exam can be answered with exactly 8 answers correct in 6435 ways.
Step-by-step explanation:
The order is not important.
For example, answering correctly the questions 1,2,3,4,5,6,7,8 is the same outcome as answering 2,1,3,4,5,6,7,8. So we use the combinations formula to solve this problem.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
"There are 15 questions on an exam. In how many ways can the exam be answered with exactly 8 answers correct?"
Combinations of 8 questions from a set of 15. So
The exam can be answered with exactly 8 answers correct in 6435 ways.
62.5 mg sample will remain after 240 days
Step-by-step explanation:
Given
Half-life = T = 60 days
The formula for calculating the quantity after n half lives is given by:
Here
N is the final amount
N_0 is the initial amount
n is the number of half lives passed
The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life
The quantity has to be calculated for 240 days so,
Given
Putting the values in the formula
Hence,
62.5 mg sample will remain after 240 days
Keywords: Half-life, sample
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