Answer: 9 132
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250
9.524 = 9 + 0.524 = 9 + 524 = 9 524 = 9 524:2 = 9 262 = 9 134
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1000 1000 1000:2 500 250
Answer:
They have the same slope
Step-by-step explanation:
Given
Coaster 1:
Coaster 2:
First, we calculate the slope (m) of both coasters
For coaster 1:
For coaster 1:
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<em>By comparison, they have the same slope</em>
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.
X^2
You subtract exponents when dividing exponents
Answer:
Step-by-step explanation:
3n to the third power+11
n=2
so, 3x2=6, so to simplify take 3x2 three times and make it 9x6=54 then add 11 so it becomes 56+11=65
so the answer is D.
