The slope of the line is the dy/dx value every time it appears in the differential equation. By substituting values for x and y in the DE, the slope can be found for the tangent at a point. This is the value of m in y=mx+a. To find a, plug in the tangent point.
Answer:
a)The sunglasses hit the ground at t=0 seconds
b)The maximum height h(t) = 1600feet
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the polynomial function
h(t) = -16 t² + 1600 ...(i)
Differentiating equation (i) with respective to 't' , we get
Equating zero
⇒ -32t =0
⇒ t =0
The sunglasses hit the ground at t=0 seconds
<u><em>Step(ii):-</em></u>
Again differentiating with respective to 't', we get
The maximum height at t=0
h(t) = -16 t² + 1600
h(t) = 1600feet
Answer: 360 degrees
Step-by-step explanation:
You are given a convex polygon that has 7 sides and one angle at each vertex.
The sum of the measure of external angle of a polygon Inrespective of the number of sides of the polygon will always be equal to 360 degree.
Therefore, the sum of the measure of its exterior angles is 360 degrees
Answer: A and D
Step-by-step explanation:
Dependent events mean that one event depends on the outcome of the previous event.
A) If the first roll is a 3, and we want to sum more than 7 with the second roll, then the possible outcomes 5 and 6. Now if the first roll is 4, then the possible outcomes for the second event will be 4, 5 and 6. So you can see how the outcome space of the second event changes depending on the first event, so the events are dependent.
B) Here we do not have dependence, each event only depends on it's own outcome.
C) Again, both events only depend on it's own outcome, so the events are not dependent.
D) This is similar as the case for A, these events are dependent because is not the same if the outcome of the first event is 3, than if the outcome is 5 (the outcome needed for the second roll changes depending on the outcome of the first event)
E) Same as B and C, the events are independent.
If you are going from a larger unit to a smaller unit, you multiply. If you are going from a smaller unit, you divide
