Answer:
can u please type out the photo is too dark to see the questions
Step-by-step explanation:
Answer: y=36 degrees
Step-by-step explanation: the exterior angle of a triangle is equal to the sum of the two remote interior angles of a triangle. using this, you can subtract 98 from 134 degrees to find your answer. 134-98 is 36 degrees. Hope this helps :)
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:
The value of 2 in the first digit is 100,000 times greater than the value of 2 in the second digit
Step-by-step explanation:
Firstly, we need to know the value of the 2 in 234,567 and that is 200,000
The value of the 2 in 765,432 is simply 2
So the number of times the value of the first 2 is greater than the value of the second 2 is;
200,000/2 = 100,000
So the value of 2 in the first digit is 100,000 times greater than the value of 2 in the second digit
Answer:
y
Step-by-step explanation:
The expression
y = f(x)
tells you that y is the dependent variable, and that it depends on x, the independent variable. The <em>independent</em> variable is always the function argument. Any variable that depends on that is the <em>dependent</em> variable.