4×17-x=84
68-x=84
-x=16
x=-16
The rock's height is increasing in the interval from 0 seconds to 3 seconds.
At time 0 the rock starts moving upward from 52 foot until it reachs 180 foot height (time 3 seconds). Then the rock starts to descend, which means that the height starts to decrease.
Answer:
I hope this help :)
Step-by-step explanation:
radius: 2.459
diameter: 38
circumference: 119.381
but if you're looking for a more appropriate answer I would round radius and circumference.
Answer:
clockwise from left, the missing side lengths are 8 m, 13 m, 8 m
Step-by-step explanation:
The perimeter of the figure is the sum of the lengths of its sides. Sides with the same hash mark have the same length, so the perimeter (in meters) is ...
38 = (3x+1) +(2x) +(9) +(2x)
38 = 7x +10
28 = 7x . . . . . . subtract 10
4 = x . . . . . . . . divide by 7
Then the short sides are ...
2x = 2·4 = 8 . . . meters
and the long side is ...
3x+1 = 3·4 +1 = 13 . . . meters
Answer:
The maximum error in the function G, ΔG = ±4
Step-by-step explanation:
G(x,y,z) = 20 In (xyz²)
Total or maximum error for a multi-variable function is given by
ΔG = (∂G/∂x) (Δx) + (∂G/∂y) (Δy) + (∂G/∂z) (Δz)
(∂G/∂x) = 20yz²/xyz² = 20/x
(∂G/∂y) = 20xz²/xyz² = 20/y
(∂G/∂z) = 40xyz/xyz² = 40/z
Δx = ±0.10
Δy = ±0.15
Δz = ±0.20
ΔG = (∂G/∂x) (Δx) + (∂G/∂y) (Δy) + (∂G/∂z) (Δz)
ΔG = (20/x) (0.10) + (20/y) (0.15) + (40/z) (0.2)
At the point (x,y,z) = (2,3,4)
ΔG = (20/2) (0.10) + (20/3) (0.15) + (40/4) (0.2) = 10(0.10) + 20(0.05) + 10(0.2) = 1 + 1 + 2 = 4
ΔG = ±4
