The rock will hit the ground at 2 seconds.
Explanation:
Given that the height, h, in feet of a rock above the ground is given by the equation 
, where t is the time in seconds after the rock is thrown.
We need to determine the time at which the rock will hit the ground.
To determine the time, let us equate the height h = 0 in the equation , we get,
Switch sides, we have,
Let us solve the equation using the quadratic formula.
Thus, we have,
Simplifying, we get,
Hence, the two values of t are
and 
Simplifying the values, we get,
and 
Dividing, we get,
and 
Since, t cannot negative values, we have,
Thus, the rock will hit the ground at 2 seconds.
Step-by-step explanation:
1. P(light OR domestic) = P(light) + P(domestic) − P(light AND domestic)
P(light OR domestic) = 0.62 + 0.70 − 0.55
P(light OR domestic) = 0.77
2. P(light AND not domestic) = P(light) − P(light AND domestic)
P(light AND not domestic) = 0.62 − 0.55
P(light AND not domestic) = 0.07
3. P(light GIVEN not domestic) = P(light AND not domestic) / P(not domestic)
P(light GIVEN not domestic) = 0.07 / (1 − 0.70)
P(light GIVEN not domestic) = 0.233
4. Two events are independent if P(A) × P(B) = P(A and B).
P(light) × P(domestic) = 0.62 × 0.70 = 0.434
P(light AND domestic) = 0.55
Therefore, the type and location are not independent.
Answer:
y=8
Step-by-step explanation:
Point slope is y2-y1 over x2-x1
So its 8-(-6) over 8-8 which equals 14/0 which means the equation of the line is y=8
This is a horizontal line on 8 on the y axis
9514 1404 393
Answer:
(c) y = 36·5
Step-by-step explanation:
If x represents the number of chocolates, the given formula ...
y = kx
with the values k = 36 and x = 5 inputted will look like ...
y = 36·5
Answer:
shift the graph horizontally to the right for 3 units and then shift vertically up 2 units
Step-by-step explanation:
f(x) = x³ vs f(x-3)+2
f(x-3) will shift the graph horizontally to the right for 3 units
+2: will shift vertically up 2 units
