Answer:
C - f(t) = 4(t − 1)^2 + 2; the minimum height of the roller coaster is 2 meters from the ground.
Step-by-step explanation:
Here we're asked to rewrite the given equation f(t) = 4t^2 − 8t + 6 in the form f(t) = a(t - h)^2 + k (which is known as the "vertex form of the equation of a parabola.") Here (h, k) is the vertex and a is a scale factor.
Let's begin by factoring 4 out of all three terms:
f(t) = 4 [ t^2 - 2t + 6/4 ]
Next, we must "complete the square" of t^2 - 2t + 6/4; in other words, we must re-write this expression in the form (t - h)^2 + k.
(To be continued)
Answer:
Step-by-step explanation:
The formula for determining the volume of a sphere is expressed as
Volume = (4/3) × πr³
The volume of the given sphere is expressed as 288π inches³. It means that
(4/3) × πr³ = 288π
4r³/3 = 288
4r³ = 3 × 288 = 864
r³ = 864/4 = 216
Taking cube root of both sides, it becomes
r = 6
The formula for determining the surface area of a sphere is expressed as
Area = 4πr²
π = 3.14
Therefore,
Surface area = 4 × 3.14 × 6² = 452.16 inches²
Answer:
Perimeter = (11x + 12)
Step-by-step explanation:
Since, perimeter of a polygon is represented by the sum of measures of all sides,
Perimeter of the given polygon = 3x + (x + 10) + 5x + (2x + 2)
By adding like terms of the expression,
Perimeter of the polygon = (3x + x + 5x + 2x) + (10 + 2)
= (11x + 12)
Therefore, expression for the perimeter is (11x + 12).
A because one input can have only one output
Wouldn’t it be 2/15 chance because there is only two fifteens
