Proof -
So, in the first part we'll verify by taking n = 1.
Therefore, it is true for the first part.
In the second part we will assume that,
and we will prove that,
<u>Henceforth, by </u><u>using </u><u>the </u><u>principle </u><u>of </u><u> mathematical induction 1²+2² +3²+....+n² = n(n+1)(2n+1)/ 6 for all positive integers n</u>.
_______________________________
<em>Please scroll left - right to view the full solution.</em>
Answer:
21 chickens
Step-by-step explanation:
10×4=40
82-40=42
42÷2=21
Answer:
haha
Step-by-step explanation:
Answer:
x = 10
PQ = 27
QR = 20
Step-by-step explanation:
You can add up PQ and QR and set it equal to PR. Solve for x.
(2x + 7) + (2x) = 47
2x + 7 + 2x = 47
4x + 7 = 47
(4x + 7) - 7 = 47 - 7
4x = 40
4x/4 = 40/4
x = 10
Now, use the solved x-value to find PQ and QR.
PQ = 2x + 7
PQ = 2(10) + 7
PQ = 20 + 7
PQ = 27
QR = 2x
QR = 2(10)
QR = 20
Answer:
Company B's offer is more cost effective
Step-by-step explanation:
Expected no. of repairs:
(0)(0.25) + (1)(0.32) + (2)(0.29) + (3)(0.14)
= 1.32
Cost A: 12.99 × 12 = $155.88
Cost B: 1.32 × 75 = $99
