Answer:
-29.61m/s
Step-by-step explanation:
To find the average speed of the pencil after dropping it for 2.8 seconds, we start with the fall distance equation for the student, s(t) = −16t² + 8√t. First, we differentiate this function since velocity is the rate of change of distance with respect to time, expressed as
V = d(s(t))/dt
s(t) = −16t² + 8t^1/2
V = -32t + 1/2(8)t^(1/2 - 1)
V = -32t + 4t^-1/2
To find the average speed, we substitute t = 2.8 into the derived equation since the pencil reaches the ground precisely after 2.8 seconds.
V = -32t + 4(2.8)^-1/2
V = -32 + 4/√2.8
V = -32 + 4/1.6733
V = -32 + 2.391
v = -29.61m/s
Thus, the average speed at which it fell is -29.61m/s
<span>6 * $10 + 6 * $4 = 6 * $14
This illustrates the distributive law property — the identity is:
</span>a * b + a * c = a * (b + c)
In this example:
a = 6
b = 10
c = 4
So 6 * $10 + 6 * $4 = 6 * $14 is equivalent to 6 * $10 + 6 * $4 = 6 * ($10 + $4)
I’m not entirely certain, but here’s my attempt: d=2.5t+2.2 closely resembles y=mx+b with y=d, m=2.5, x=t, and b=2.2. To derive a new equation, we replace d and t, resulting in 1=2.5(0)+b. After simplification, we find b=1, so the new equation becomes d=2.5t+1
.
To find the meal price, divide the tip by the tip percentage:
3.25 / 0.20 = 16.25
The cost of the meal is $16.25
