Answer:
Kindly check explanation
Step-by-step explanation:
Suppose that the height s of a ball (in feet) at time t (in seconds) is given by the formula
s(t) = 64 - 16(t - 1)^2
t interval = 0 ≤ t ≤ 3
1) point A (from the graph)
11) Height of ball when it was released
Ball was released at t = 0
s(0) = 64 - 16(0 - 1)^2
= 64 - 16(-1)^2
= 64 - 16(1)
= 64 - 16
= 48 feets
111) point C ( from the graph)
IV) highest point of the ball is 64
Hence,
s(t) = 64 - 16(t - 1)^2
64= 64 - 16(t - 1)^2
16(t - 1)^2 = 64 - 64
16(t - 1)^2 = 0
16t^2 - 32t + 16 = 0
t^2 - 2t + 1 = 0
(t-1) = 0 (t-1) = 0
t = 1
V) Point G (from graph)
V1)
height = 0
s(t) = 64 - 16(t - 1)^2
0 = 64 - 16(t - 1)^2
16(t - 1)^2 = 64
(t - 1)^2 = 64/16
(t - 1)^2 = 4
(t - 1)² = 2²
t - 1 = 2
t = 2 + 1
t = 3
Answer:
Step-by-step explanation:
If you add up all the male and female categories, the total is 400
the number of females between 22 and 39 is 51
P(22 - 39) = 51 / 400
P(22 - 39) = 0.1275
I think the answer you want is 51/400
X= 2
2x=-1+ 5
2x= 4
Divide 2 by both sides cancel out the 2x and then x will equal 2
Please mark branlist
Also next time use photo math it helps a lot
Answer:
[4, 6]
Step-by-step explanation:
∑ₙ₌₁°° (x − 5)ⁿ / n²
Use ratio test.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(x − 5)ⁿ⁺¹ / (n+1)²] / [(x − 5)ⁿ / n²]│< 1
lim(n→∞)│[(x − 5) n² / (n+1)²│< 1
│x − 5│< 1
-1 < x − 5 < 1
4 < x < 6
If x = 4, ∑ₙ₌₁°° (4 − 5)ⁿ / n² = ∑ₙ₌₁°° (-1)ⁿ / n², which converges.
If x = 6, ∑ₙ₌₁°° (6 − 5)ⁿ / n² = ∑ₙ₌₁°° 1 / n², which converges.
So the interval of convergence is [4, 6].
1. Find the equation of a line passing through the point (4, –7) parallel to the line 4x + 6y = 9.
2. Find the equation of a line passing through the point (–3, 8) perpendicular to the line 2x – 7y = –11.
3. Find the equation of a line passing through the point (5, 4) perpendicular to the line –4x – 3y = 6.
4. Find the equation of a line passing through the point (–2, –1) perpendicular to the line 5x + 6y = –6.
5. Find the equation of a line passing through the point (–7, 2) parallel to the line –4x + 10y = –5.
6. Find the equation of a line passing through the point (8, –9) perpendicular to the line 3x + 8y = 4.