Need some help thank u

The height of a falling object is given by h(t) = 400 − 39t − 157e−t/4 with h in meters and t in seconds. Assuming that the grou

Vlad1618 [11]

This is the concept of algebra; given that the height of the house at time t is given by:
h(t)= 400 − 39t − 157e−t/4
the velocity of the house is given by:
dh/dt
velocity of our object is:
dh/dt=-39+1/4*157e^-(t/4)
=-39+157/4 e^(-t/4)
thus the velocity at h=0 will be as follows:
at h=0, the value of t will be:
0=400-39t-157e^(-t/4)
solving for t we get:
t=-5.4 or t=10.1
since we don't have negative time, t=10.1
thus the velocity at this point will be:
dh/dt=-38+1/4*157e^(-10.1/4)
=-38.86 sec
this means that the object dropped by a velocity of 38.86 sec

5 0

3 years ago

5. If circle A. AB=DE B. BC=DE C. CF AE D. BFC = DFC

notka56 [123]

First option is correct. AB=DE

6 0

3 years ago

Read 2 more answers

These are the cost and revenue functions for a line of trumpets sold at a music store:

Maslowich

Answer:

168 trumpets for $1702

Step-by-step explanation:

Profit is the measure to be maximized. We are given revenue and cost relationships as a function of units, x (trumpets). Profit is the difference:

Profit = Revenue[R(x)] - Cost[C(x)]

Profit = (76x – 0.25x^2) - (-7.75x + 5,312.5)

Profit = 76x - 0.25x^2 + 7.75x - 5,312.5

Profit = - 0.25x^2 + 83.75x - 5312.5

At this point we can find the trumpets needed for maximum profit by either of two approaches: algebraic and graphing. I'll do both.

Mathematically

The first derivative will give us the slope of this function for any value of x. The maximum will have a slope of zero (the curve changes direction at that point). Take the first derivative and set that equal to 0 and solve for x.

First derivative:

d(Profit)/dx = - 2(0.25x) + 83.75

d(Profit)/dx = - 0.50x + 83.75

0 = - 0.50x + 83.75

0.50x = 83.75

x = 167.5 trumpets

Graphically

Plot the profit function and look for the maximum. The graph is attached. The maximum is 167.5 trumpets.

Round up or down to get a whole trumpet. I'll go up: 168 trumpets.

Maximum Profit

Solve the profit equation for 168 trumpets:

Profit = - 0.25x^2 + 83.75x - 5312.5

Profit = - 0.25(168)^2 + 83.75(168) - 5312.5

Profit = $1702

4 0

2 years ago

A person places $934 in an investment account earning an annual rate of 6.1%, compounded continuously. Using the formula V = P n

mixer [17]

Yes man yes we are here for dinner last night

5 0

3 years ago

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A 12 oz bag of birdseed cost $3.12. A 16 oz bag of birdseed cost $3.84. Which is the better deal? How much money per ounce would

lidiya [134]

The better deal would be the 16 oz bag since it costs .24 cents an ounce.
You would be saving .2 cents on each ounce you buy.

6 0

3 years ago