Answer:
3.2 miles on average.
Step-by-step explanation: Because you must add all those miles together then divide by 7 to represent weeks. Plus Sheila forgot Monday.
Answer:
28 ft²
Step-by-step explanation:
Hello There!
To solve for the area of an irregular shape we want to split the irregular shape into regular shapes
For this irregular shape we would split it into a square with a side length of 2ft and a rectangle with a length of 6ft and a width of 4ft ( width was found subtracting total height of irregular figure (6ft) from height of square (2ft) 6ft - 2ft = 4ft so the width would be 4ft)
now we can easily solve for the area of each individual shape
area of square -
the area of a square can simply be found by raising the side length to the power of 2
so

so we can conclude that the area of the square is 4ft^2
Now we want to find the area of the rectangle
the area of a rectangle is simply equal to the width times the length
so

so we can conclude that the area of the rectangle is 24ft^2
Finally we add the two areas together
24 + 4 = 28
thus meaning the area of the irregular figure is 28 ft²
Solution :
The formula for the linearization of a function
at a point
= a is given as

Assuming the time is t and the distance travelled is
, that makes the speed as
.
So substituting them in the linearization formula,
A. At t = 7 minutes
f(7) = 2.5 km
f'(7) = 0.5 kpm
∴ 



B. At t = 18 minutes
f(18) = 14.8 km
f'(18) = 0.8 kpm
∴ 



C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get

= 7 - 1
= 6 km

= 11.2 + 0.4
= 11.6 km
D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km
= 3.5 km
And between the 14 minutes and 18 minutes is = 14.8 km - 6 km
= 8.8 km
This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.
Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km
= 9.1 km
And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km
= 3.2 km
This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.
Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.
Answer:

Step-by-step explanation:
Given that,
A wheel with radius 1 foot makes 1 revolution in 4 seconds
We need to find the linera velocity of a point on the edge of the wheel. We know that, the linear velcity is given by :

Where
is angular velcocity,

So

So, the linear velocity of the wheel is equal to
.