Answer:
divide the 3x by the 6
Step-by-step explanation:
hdududhr
Answer:
180 fb*lb
45 ft*lb
Step-by-step explanation:
We have that the work is equal to:
W = F * d
but when the force is constant and in this case, it is changing.
therefore it would be:

Where a = 0 and b = 30.
F (x) = 0.4 * x
Therefore, we replace and we would be left with:

We integrate and we have:
W = 0.4 / 2 * x ^ 2
W = 0.2 * (x ^ 2) from 0 to 30, we replace:
W = 0.2 * (30 ^ 2) - 0.2 * (0 ^ 2)
W = 180 ft * lb
Now in the second part it is the same, but the integral would be from 0 to 15.
we replace:
W = 0.2 * (15 ^ 2) - 0.2 * (0 ^ 2)
W = 45 ft * lb
Answer:
7 1/2 m
Step-by-step explanation:
C = πd
in this problem, d = 15 which means that r = 15/2 or 7 1/2
Answer:
Slope: 6
Y-intercept: 0
Proportional
Step-by-step explanation:
The equation for this table is y = 6x + 0 or just y = 6x.
y = 6x + 0
y-value slope (x-value) y-intercept
Proportional because it crosses (0,0) on the graph.
Answer:
Range is 44
mean is 29.7
variance is 289.56
standard deviation is 17.016
Step-by-step explanation:
The data given as follows
3, 24, 30, 47, 43, 7, 47,13, 44, 39
Range = maximum - minimum
= 47 -3 = 44
mean =
= 297/10 = 29.7
variance =
= 289.56
SD =
= 17.016
The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.