Please, use " ^ " to denote exponentiation: p(t) = t^2 + 5t + 6.
To find the critical points, differentiate p(t) with respect to t, set the result = to 0, and then solve the resulting equation for t:
p '(t) = 2t + 5 = 0
Solving for t: 2t = -5, and so t = -5/2. (-5/2, p(-5/2)) is the critical point. That evaluates to (-5/2, -0.25). This happens to be the vertex of a parabola that opens up.
Answer:
Ella grew
of an inch more
Step-by-step explanation:
For this problem, you want to subtract Ben's growth from Ella's.
This expression would be
-
.
To work these out, they must have the same denominator (which should be the lowest common multiple or LCM).
In this case, the LCM is 12, so you want to multiply each side so the denominator is 12. This means the first fraction should be multiplied by
and the second by
.
This makes the expression
-
, which equals
.
**This content involves adding and subtracting fractions, which you may want to revise. I'm always happy to help!
Area of the base = 1/2 * 10 * 5sqrt3 = 25 sqrt3
Total surface area = 25 sqrt3 + 3 * 1/2 * 10 * slant height = 214.5
25 sqrt3 + 15h = 214.5
15h = 214.5 - 25 sqrt3
h = (214.5 - 25sqrt3() / 15
= 11.41 cm to nearest hundredth
The answer to your question is 5,000.