Answer:
7/36
Step-by-step explanation:
1/4 × 7/9 = 7/36 Hope that helps!
Answer:
Lets say you have "100" apples.
If you lost 50% of those 100 apples, (50 apples) and then half of them went rotten, then no, it wouldn't be the same. But if you picked them all back up, and none of them were damaged, then yes, they would stay the original amount.
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
I will assume that 3n is the last term.
First let n = k, then:
Sum ( k terms) = 7k^2 + 3k
Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term
= 7k^2 + 3k + 14(k + 1) - 4
= 7k^2 + 17k + 10
Now 7(k + 1)^2 = 7k^2 +14 k + 7 so
7k^2 + 17k + 10
= 7(k + 1)^2 + 3k + 3
= 7(k + 1)^2 + 3(k + 1)
Which is the formula for the Sum of k terms with the k replaced by k + 1.
Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.
But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .
So it must also be true for all subsequent( 2,3 etc) terms.
This completes the proof.
First, change 2/5 into a decimal by dividing 2 by 5. Decimal= .4. Now move the decimal 2 places to the right to find percentage. Answer is 40%
Answer:
157 cm²
Step-by-step explanation:
volume = (1/3) * π * r² * h
volume = (1/3) * π * 5² * 6
volume = (1/3) * π * 25 * 6
volume = (1/3) * π * 150
volume = (1/3) * 471
volume = 157 cm²
