Step-by-step explanation:
For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).
1) y = -0.5t² + 2t + 38
The maximum is at:
t = -2 / (2 × -0.5)
t = 2
The maximum height is:
y = -0.5(2)² + 2(2) + 38
y = 40
The coordinates of the vertex are (2, 40). That means the missile reaches a maximum height of 40 km after 2 minutes.
2) y = -4.9t² + 12t + 1.6
The maximum is at:
t = -12 / (2 × -4.9)
t = 1.22
The maximum height is:
y = -4.9(1.22)² + 12(1.22) + 1.6
y = 8.95
The coordinates of the vertex are (1.22, 8.95). That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.
3) y = -0.04x² + 0.88x
The maximum is at:
x = -0.88 / (2 × -0.04)
x = 11
The maximum height is:
y = -0.04(11)² + 0.88(11)
y = 4.84
The maximum height of the tunnel is 4.84 meters.
The maximum width is when y = 0.
0 = -0.04x² + 0.88x
0 = -0.04x (x − 22)
x = 22
The maximum width is 22 feet.
Answer:
6561 / 128
Step-by-step explanation:
The nth term of a geometric sequence is:
a = a₁ (r)ⁿ⁻¹
The first term is 3, and the fourth term is 81/8.
81/8 = 3 (r)⁴⁻¹
27/8 = r³
r = 3/2
The eighth term is therefore:
a = 3 (3/2)⁸⁻¹
a = 6561 / 128
Someone better come get her because she dancing like a s.t.i.p.p.e.r
Answer: What is the easiest way to find the volume of a sphere?
Image result for How to find volume of sphere explain step by step
To calculate the volume of a sphere, use the formula v = ⁴⁄₃πr³, where r is the radius of the sphere. If you don't have the radius, you can find it by dividing the diameter by 2. Once you have the radius, plug it into the formula and solve to find the volume.
Step-by-step explanation:
(I will do my best to entirely explain the subject) To understand Positives and Negatives you need to have a number line.
<u>-3 -2 -1 0 1 2 3</u>
Your whole life you have been using positives and negatives when you subtract or add a number. 9 - 2 is really just 9 + -2
With the number line it should be easier to understand that for every single time you add or take away you change the value. The more you take away (Negative numbers, 5 + -6) the farther down the value goes to the left, more towards the negative side (5 + -6 = -1). The same goes for addition (-6 + 9 = 3).
To multiply all you need to do is count how many times you see a negative number. If you see an even number of negatives then the answer will be positive because on the number line you went from one side to the other multiple times, left right left right and all that jazz. Hopefully i made this make more sense to you, if there is anything i need to clarify on please make it known so i can edit my answer.
