Answer:
Paul should give 18 teaspoons of medicine to his dog.
Step-by-step explanation:
It is stated in the question that for every 12 pounds, 3 teaspoons of medicine is to be given to the dog.
This implies that:
12 pounds = 3 teaspoons
1 pound = 3/12 teaspoons
= 1/4 teaspoons <em> ( by cross multiplication )</em>
<em />
<h3>72 pounds = 1/4 * 72 teaspoons</h3><h3> = 18 teaspoons</h3><h3 />
Hence, Paul should add 18 teaspoons of medicine to his dog's food.
Answer:
10) area of 130° segment 4.5 in²
Step-by-step explanation:
10) area of full circle = πr² = (3.14)(2²) = 12.56 in²
area of 130° segment = (130/360)(12.56) = 4.54 in²
It is asking you to find the sum of k^2 - 1 from k=1 to k=4. Since that is only 4 numbers, calculating the sum by hand wouldn’t be that bad.
(1^2 - 1) + (2^2 - 1) + (3^2 - 1) + (4^2 - 1) = 26
The easier way to find the sum is to use a few simple formulas.
When we have a term that is just a constant c, the formula is c*n.
When we have a variable k, the formula is k*n*(n+1)/2.
When we have a squared variable, the formula is k*n*(n+1)*(2n+1)/6.
In this case, we have a squared variable k^2 and a constant of -1.
So plug in n=4 to the formulas:
4*5*9/6 - 1*4 = 26
The answer is 26
Your answer is (8 1/6) hope it helps and have a great day!
Answer:
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