Answer:
5.0 times 10 Superscript 6
Step-by-step explanation:
What is the value of StartFraction 1.6 times 10 Superscript 14 Baseline Over 3.2 times 10 Superscript 7 Baseline?
This is represented mathematically as:
1.6 × 10¹⁴/ 3.2 × 10⁷
Solving for this
1.6 × 10¹⁴/ 3.2 × 10⁷
= [1.6/3.2] × 10¹⁴-⁷
= 5 × 10⁶
= 5.0 times 10 Superscript 6
Answer:
The slope is -2
Step-by-step explanation:
Given



Required
The slope (m)
Slope is calculated as:

So, we have:



343^1/3
=(7)^3*1/3 [ 3 and 3 are cancelled]
=7
Using it's concept, it is found that the average rate of change of the function during the interval from 0 to 2 seconds is given by:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
<h3>What is the average rate of change of a function?</h3>
The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

In this problem, the function is given by:
f(t) = -16t² + 100.
The outputs are given as follows:
- f(0) = -16(0)² + 100 = 100.
- f(0) = -16(2)² + 100 = 36.
Hence the average rate of change is given by:
r = (36 - 100)/(2 - 0) = -32 ft/s.
And the correct option is:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
More can be learned about the average rate of change of a function at brainly.com/question/24313700
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Answer: a=8 and b=1
Step-by-step explanation:
If x represents the paddling speed, and y represents the speed of the current.
Then Relative speed in upstream =x-y
Relative time in downstream=x-y
When she paddles upstream then distance covered by her=
⇒8=(x-y)2 or 2(x-y)=8
Thus we get, a=1
When she paddles downstream then distance covered by her=
⇒8=(x+y)1 or 1(x+y)=8
Thus we get b=1