Answer: you wrote it wrong
Step-by-step explanation:
Brady studied for 4.5 hours that week
How we determine the total study hours?
The total study hours for Brady is the sum of the hours used in studying on Monday, Tuesday, Wednesday and Thursday.
He studied for 1.5 hours on Monday
He studied for 0.75 hours on Tuesday
He studied again for 1.25 hours on Wednesday
Lastly, he studied for 1 hour on Thursday, the last day
Total number of study hours=1.5+0.75+1.25+1
Total number of study hours=4.50
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The number (7×100)+(4×1/100)+(8×1/1,000) in standard form is 7.0048 × 10²
<h3>How to write number in standard form?</h3>
The number can be represented in standard form as follows:
(7 × 100) + (4 × 1/100)+(8 × 1/1,000)
Therefore,
7 × 100 = 700 = 7 × 10²
4 × 1/100 = 4 × 10⁻²
8 × 1/1,000 = 8 × 10⁻³
Therefore,
7 × 10² + 4 × 10⁻² + 8 × 10⁻³ = 700.048 = 7.0048 × 10²
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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
The slope m of a line
through points

and

is given by :<span>

Thus, the slope of the line passing through points </span><span>(−1, 7) and (2, 10) is
</span>

<span>
The equation of a line with slope m passing through a point P(a, b) is given by
(y-b)=m(x-a).
We can consider any of the points (-1, 7), or (2, 10). Let's choose (2, 10):
y-10=1(x-2)
y-10=x-2
y-x=-2+10
y-x=8
Answer: </span><span>C. −x+y=8</span>