Answer:
The total distance that the turtle traveled during the 5 seconds recorded is
Step-by-step explanation:
To estimate distance traveled of an object moving in a straight line over a period of time, from discrete data on the velocity of the object, we use a Riemann Sum. If we have a table of values
where , then we can approximate the displacement on the interval by .
Therefore the distance traveled of the object over the time interval can be approximated by
This is the right endpoint approximation.
We are given a table of values for <em>v(t)</em>
Applying the right endpoint approximation formula we get,
The total distance that the turtle traveled during the 5 seconds recorded is
<h3>
Answer: Choice A. f(0) = g(0)</h3>
This is because the red and blue lines cross at (0,-2). We don't really need to worry about the y coordinate here. For this problem, all we care about is the x coordinate, which is x = 0.
When x = 0, the outputs of each function f(x) and g(x) are both the same value. So that's why we can say f(0) = g(0). It's the same as saying f(x) = g(x) has the solution x = 0.
for a 90° rotation clockwise, use (x,y)--->(y,-x)
Answer:
Option D.
Step-by-step explanation:
It is given that a satellite is composed of 30 modular units. Each unit contains the same number of non-upgraded sensors.
Let x be the total number of upgraded sensors on the entire satellite.
The number of non-upgraded sensors on one unit is 1/5 the total number of upgraded sensors on the entire satellite.
Non-upgraded sensors on one unit =
Non-upgraded sensors on 30 unit =
Total number of sensors on the entire satellite is the sum of upgraded and non-upgraded sensors
We need to find the fraction of the sensors on the satellite have been upgraded.
Therefore, the correct option is D.
Steps:
1. Change 1/11 to 2/22 by multiplying by 2
2. 9/22 + 2/22
3. 11/22
Then, to simplify it you divide by 11
4. Your answer is
1/2