To add fractions, first convert them to have equal denominators.
3/4= 9/12 (multiply both sides by 3)
2/3= 8/12 (multiply both sides by 4)
From here, add the numerators while keeping the denominator.
9/12+ 8/12= 17/12
Final answer: 17/12 or 1 5/12
(f + g)(x) = f(x) + g(x) therefore (f + g)(4) = f(4) + g(4)
a. Use the mean value theorem. 16 falls between 12 and 20, so
(Don't forget your units - 5 m/min^2)
b. gives the Johanna's velocity at time . The magnitude of her velocity, or speed, is . Integrating this would tell us the total distance she has traveled whilst jogging.
The Riemann sum approximates the integral as
If you're not sure how this is derived: we're given 5 sample points, so we can cut the interval [0, 40] into 4 subintervals. The lengths of each subinterval are 12, 8, 4, and 16 (the distances between each sample point), and the height of the rectangle approximating the area under the plot of is determined by the value of at each sample point, 200, 240, |-220| = 220, and 150.
c. Bob's velocity is given by , so his acceleration is given by . We have
and at his acceleration is m/min^2.
d. Bob's average velocity over [0, 10] is given by the difference quotient,
m/min
Answer:1.41666666667 or to simplify, 1.416 but the 6 is repeating so draw a bar over the 6.
Step-by-step explanation:
<h3> </h3>
It is sometimes called an extreme value. When you graph an outlier, it will appear not to fit the pattern of the graph. Some outliers are due to mistakes (for example, writing down 50 instead of 500) while others may indicate that something unusual is happening