This is the concept of algebra; given that the height of the house at time t is given by:
h(t)=<span> 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</span>
Answer:
+140.68 m/h
Step-by-step explanation:
17.33 h
2438.1/17.33 = 140.68
+140.68 m/h
Answer:
8.6 to the nearest tenth.
Step-by-step explanation:
Using the distance formula d = √ [(y2 - y1)^2 + (x2 - x1)^2] where (x1, y1) and (x2, y2) are the two endpoints.
= √ (4 - -3)^2 + (-3-2)^2
= √(49 + 25)
= 8.60
This situation can be represented by a step function.If Jalyn purchases 60 shirts the total cost will be $600.At these prices it is cheaper to buy 76 shirts than it is to buy 75 shirts.
