Answer:
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Step-by-step explanation:
Answer:
36 milliliters of rain.
Step-by-step explanation:
The rate at which rain accumluated in a bucket is given by the function:

Where r(t) is measured in milliliters per minute.
We want to find the total accumulation of rain from <em>t</em> = 0 to <em>t</em> = 3.
We can use the Net Change Theorem. So, we will integrate function <em>r</em> from <em>t</em> = 0 to <em>t</em> = 3:

Substitute:

Integrate:

Evaluate:

36 milliliters of rain accumulated in the bucket from time <em>t</em> = 0 to <em>t</em> = 3.
Distribute the 12 by multiplying so it would be 96b-60 and they aren’t like terms so that’s as far as you can go
Answer:
d ≈ 14.6 units; M (2.5, 2, 6)
Step-by-step explanation:
Using the distance formula for 3-D dimensions, you get the √(213) which equals 14.6
Then, using the midpoint formula for 3-D dimensions, you find the coordinates 2.5 for x, 2 for y, and 6 for z.
Since x+4y = 8 the thing is y = 1/4*x but if you get 1/4 of x then multiply it by 4 when you put it back in the problem, which means x=4 y=1