Answer:
3
Step-by-step explanation:
3 + 2 < 6
5<6
Therefore the answer should be 3
Step-by-step explanation:
step 1. if r = 2, then its area = (pi)r^2 = (pi)(4) = 4pi
step 2. if r = 3 then its area = (pi)r^2 = (pi)(9) = 9pi
step 3. so A is the area of a circle half the sum of our circles with r = 2 and r = 3.
step 4. A = (4pi + 9pi)/2 = 13pi/2 =6.5(pi).
"5 times the number 25" is just 25 multiplied 5 times. Then "the quotient of 14 and 7" is just 14 divided by seven. You need the parenthesis because of the PEMDAS rule. Am expression is nt the same as an equation. An equation has an equals sign, an expression does not. So the final expression would be:
(5 x 25) - (14 / 7)
Answer:
In Exercises 1-15 use mathematical induction to establish the formula for n ≥ 1.
1. 1
2 + 22 + 32 + · · · + n
2 =
n(n + 1)(2n + 1)
6
Proof:
For n = 1, the statement reduces to 12 =
1 · 2 · 3
6
and is obviously true.
Assuming the statement is true for n = k:
1
2 + 22 + 32 + · · · + k
2 =
k(k + 1)(2k + 1)
6
, (1)
we will prove that the statement must be true for n = k + 1:
1
2 + 22 + 32 + · · · + (k + 1)2 =
(k + 1)(k + 2)(2k + 3)
6
. (2)
The left-hand side of (2) can be written as
1
2 + 22 + 32 + · · · + k
2 + (k + 1)2
.
In view of (1), this simplifies to:
PJ was closer because he was .25 away from his goal and Minh was .16666 away from his goal.
