.Kim is x years old. Jordan is 7 years older than Kim. Four times Jordan’s age is equal to 200. (a)Write an equation that could be used to solve for Kim’s age, x. (b)How old is Kim? (c)How old is Jordan? Answer:
Kim = x
Jordan = x + 7
4(x+7) = 200
4x + 28 = 200
4x = 200 - 28
4x = 172
x = 172/4
x = 43. Kim's age
Jordan: x + 7 → 43+7 = 50
Answer:
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closed
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Step-by-step explanation:
Answer:
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Answer:
1/2^42 because the 45 will be dividing it b half 3 more times
Step-by-step explanation:
Let
denote the rocket's position, velocity, and acceleration vectors at time
.
We're given its initial position

and velocity

Immediately after launch, the rocket is subject to gravity, so its acceleration is

where
.
a. We can obtain the velocity and position vectors by respectively integrating the acceleration and velocity functions. By the fundamental theorem of calculus,


(the integral of 0 is a constant, but it ultimately doesn't matter in this case)

and



b. The rocket stays in the air for as long as it takes until
, where
is the
-component of the position vector.

The range of the rocket is the distance between the rocket's final position and the origin (0, 0, 0):

c. The rocket reaches its maximum height when its vertical velocity (the
-component) is 0, at which point we have

