Answer:
C. 7
Step-by-step explanation:
We have been given a line plot which represents the estimated weights of alligators at Thompson Zoo. We are asked to find the number of alligators who weigh less than 450 pounds.
To find the total number of alligators who weigh less than 450 pounds we will add the number of alligators whose weight equals 400 pounds and 425 pounds.
We can see from our line plot 3 alligators weigh 400 pounds and 4 alligators weigh 425 pounds.
Therefore, 7 alligators weigh less than 450 pounds at Thompson Zoo and option C is the correct choice.
Answer:
28n+24
Step-by-step explanation:
3 ( 7 n + 5 n + 8 ) - 8 n
combine 7n and 5n to get 12n
3 ( 12n + 8 ) - 8
distribute 3 to 12n +8
36n+24-8n
combine like terms
28n+24
since ypu cant simply any more it stays like thats
*by the way there is an app that helps with equation and explains the process, its Microsoft Math Solver. hope it helped
3 to fourth power=3^4
3 to ninth power =3^9
Now,
3 to fourth power times to the ninth power=3^4*3^9
the basis same so the powers will add:
3^(4+9)=3^13=1594323
Answer:
Lets say that P(n) is true if n is a prime or a product of prime numbers. We want to show that P(n) is true for all n > 1.
The base case is n=2. P(2) is true because 2 is prime.
Now lets use the inductive hypothesis. Lets take a number n > 2, and we will assume that P(k) is true for any integer k such that 1 < k < n. We want to show that P(n) is true. We may assume that n is not prime, otherwise, P(n) would be trivially true. Since n is not prime, there exist positive integers a,b greater than 1 such that a*b = n. Note that 1 < a < n and 1 < b < n, thus P(a) and P(b) are true. Therefore there exists primes p1, ...., pj and pj+1, ..., pl such that
p1*p2*...*pj = a
pj+1*pj+2*...*pl = b
As a result
n = a*b = (p1*......*pj)*(pj+1*....*pl) = p1*....*pj*....pl
Since we could write n as a product of primes, then P(n) is also true. For strong induction, we conclude than P(n) is true for all integers greater than 1.
