Answer:
Sₙ = √5/2 n (n + 1)
Step-by-step explanation:
<u>Given AP:</u>
<u>Rewriting as:</u>
- √5,√4*5,√9*5,√16*5,...
- √5, 2√5, 3√5, 4√5,..., n√5
<u>Common difference:</u>
<u>Sum of n terms:</u>
- Sₙ = 1/2n (a₁ + aₙ) =
- 1/2n (√5 + √5 + (n-1)√5) =
- 1/2n (n + 1)√5=
- √5/2 n (n + 1)
Sₙ = √5/2 n (n + 1)
75lbs of food = 15% tiger's food weight
?lbs tiger= 100% tiger's body weight
So you want to take the amount of food (75lbs), divide it by the amount of the tiger's food weight (15%) and then multiply it by it's total body weight (100%)
So 75 / 15 = 5
and 5 x 100 = 500
so the tiger = 500lbs
Answer:
I will assume the equation is supposed to be f(x) = <u>x^2</u> – 5x + 12 since it is said to be a quadratic equation.
Step-by-step explanation:
<u>See attached graph.</u>
The value of f(–10) = 82 <u><em>False</em></u>
f(-10) = (-10)^2 - 5*(-10) + 12
f(-10) = (100) +50 + 12
f(-10) = 162
The graph of the function is a parabola. <u><em>True</em></u>
The graph of the function opens down. <u><em>False</em></u>
The graph contains the point (20, –8). <u><em>False</em></u>
The graph contains the point (0, 0). <u><em>False</em></u>
The answer would end up being 68.