1 / 5^-2
First, let's work out the denominator.
5^ -2 = 1/25. When an exponent is negative, it means to put a 1 over the product. Like we did earlier.
Now we have 1 / (1/25).
1 / (1/25)
Divide 1 by 25.
1 / 0.04
Divide 1 by 0.04
25
The answer is 25!
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Answer:
It's D.
Step-by-step explanation:
The graph of tan x passes through (0,0) whereas this graph passes through the point (pi/4 , 0) so it a horizontal translation to the right. We see that the period is 6 units along the x axis which is 6 * pi/4 = 3 pi/2.
Exact Form:
-1/3
Decimal Form:
-0.3 (with a line over the 3)
Step-by-step explanation:
When x = -2, x + 2 = (-2) + 2 = 0.
Answer:
6.78ft/sec
Step-by-step explanation:
From the question, dx/dt= 3.9 ft/sec
We are looking for Dy/dt
From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb
12/y= 5.1/(y-x)
Then ,cross multiply, we have
12(y-x)=5.1y
12y-12x=5.1y
12y-5.1y=12x
6.9y=12x
y=( 12/6.9)x
Differentiating implicitly the bother sides with respect to t, we have
Dy/dt= ( 12/6.9)dx/dt
But dx/dt= 3.9 ft/sec
Then Dy/dt= ( 12/6.9)× 3.9
Dy/dt=6.78ft/sec
Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec
CHECK THE ATTACHMENT FOR THE FIQURE
