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The first thing we must do is convert kilometers to meters. We will do this by multiplying by 1,000, since 1 km corresponds to 1,000 meters.
- 80*1000 = 80,000
- 120*1000 = 120,000
Now that we've done that, let's divide the values by 3,600, because an hour is 60 minutes, and each minute is 60 seconds, so 60*60 is 3,600.
Hence, 80 km/h = 22.22 m/s, 120 km/h = 33.33 m/s
Answer:
hello : k = - 9
Step-by-step explanation:
h(x) =x²+3 and g(x) = x² - 6.....(*)
g(x) = x² +3 + k.....(**)
by (*) and (**) : 3+k = -6
3+k - 3 = - 6 - 3
k = - 9
1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s
2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one.
C(101) = 101² - 10,000
C(101) = 201
C(100) = 100² - 10,000
C(100= 0
C(101) - C(100) = 201
Average rate of change in cost is 201 dollars/ unit between the two points.
Answer:
Step-by-step explanation:
The very first one probably