Answer:
-1.714001255
Step-by-step explanation:
Well just plug it in your calculator.
What is 7 billion in standard form?
2 answers:
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Answer:
6.46
Step-by-step explanation:
h(t) = (1/2) + v0t + h0
Origin is at surface of water (h = 0), up is positive.
a = -g = -9.8 m/
v0 = 25 m/s
h0 = 50 m
h(t) = -4.9t2 + 25t + 50
Find t when
7 = + 25t + 50
- 25t - 43 = 0
t = [1/(2*4.9)] [25 ±√( + 4*4.9*43)]
t = (0.102)(25 ± 38.312)
t > 0 ⇒ use only the positive square root
t = (0.102)(25 + 38.312) ≅ 6.46 s
It is 7m above the water at about 6.46 s
Answer:
100m by 50m.
Step-by-step explanation:
Let the dimension of the rectangular pen be x and y
Area, A(x,y)=xy
Let the side opposite her barn = x
Since she wants to fence only three side
Perimeter = x+2y
Length of Fencing Available = 200m
Therefore:
We want to maximize the area of the pen, A(x,y).
Substituting x=200-2y into A(x,y)=xy
To maximize A(y), we find its derivative and solve for the critical points.
To ensure that this is a maximum, we use the second derivative test.
This is negative and thus, y=50 is a maximum point.
Recall:
x=200-2y
x=200-2(50)
x=200-100
x=100m
Therefore, the dimensions of the pen that has the largest area are 100m by 50m.