Pls help meeee the question is in the photo pls no links or fake answers pls answer both questions
1 answer:
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Answer:
198 yards
Step-by-step explanation:
Sean wants the sting of each balloon to be 9 feet, and he wants to get a total of 66 balloons.
The total length of stings required for 66 balloons would be;
total length of balloon strings = 66 x 9 feet
= 594 feet
But the string is sold by the yard at the store.
So that,
1 yard = 36 inches = 3 feet
x yard = 594 feet
Thus,
x =
= 198 yards
x = 198 yards
Therefore, the total length of string that Sean would need is 198 yards.
Answer:
option 1 both statements are true
Step-by-step explanation:
Prove by PMI -- Principle of Mathematical Induction
1) n³ + 2n
n= 1 , 1³ +2*1 = 1+2 = 3 = 3*1 ---->divisible by 3
n = 2 ; 2³ + 2*2 = 8+4 = 12 = 3*4 ----> is divisible by 3
Assume that It is valid for n = k ;
= 3*m -----(I) , for all m ∈ N
We have to prove for n =k +1 , the statement is true.
n = k+1,
= k³ + 3k² + 3k + 3 + 2k
= k³ + 2k + 3k² + 3k + 3
= 3m + 3 (k² + k + 1)
= 3(3 + [k² + k + 1] ) is divisible by 3
Therefore, this statement is true
2)
This statement is also true