Answer:
1/6
Step-by-step explanation:
1/3 times 1/2 = 1/6
Answer:
Step-by-step explanation:
<u>We can observe general terms of n:</u>
- aₙ = n + 1 + 2n + 2 + 3n + 3 + ... + (n - 1)n + (n - 1)
<u>Rewrite it as:</u>
- aₙ = (n + 1) + 2(n + 1) + 3(n + 1) + ... (n - 1)(n + 1) =
- (n + 1)(1 + 2 + 3 + ... + n - 1) =
- (n + 1)(1 + n - 1)(n - 1)/2 =
- (n - 1)n(n + 1)/2
<u>We need to find the least n for which aₙ > 500:</u>
- (n - 1)n(n + 1)/2 > 500 ⇒ (n - 1)n(n + 1) > 1000
<u>If n = 10:</u>
- a₁₀ = 9*10*11 = 990 < 1000
<u>If n = 11:</u>
- a₁₁ = 10*11*12 = 1320 > 1000
So the least n is 11
Answer:
hi
Step-by-step explanation:
i think (2x-3)(2x+3)
hope it helps
have a nice day
Answer:
E) 30.3 m² Tom Brady is close to 30.18
Step-by-step explanation:
Total area = Trapezoid + semicircle
(2 + 10) x 4 / 2 + 1/2 x 3.14 x 2² = 24 + 6.18 = 30.18
recall that to find the x-intercept we set y = 0 and solve for "x".
and to find the y-intercept, we set x = 0 and solve for "y", so let's do so
x = 0, so then the equation turns into
y = 3x² + 5x - 2
y = 3(0)² + 5(0) - 2
y = -2
when x = 0, y = -2, ( 0 , -2 ).