1 divided by 1/4 equals four, I'm not sure what fraction strips are but just think about how 4 of 1/4 pieces of something would equal a whole because 4/4=1
Answer:
250 mins
Step-by-step explanation:
since number of taps times time is constant
Answer:
Step-by-step explanation:
<u>Given</u>
<u>Property of AP</u>
- aₙ = a₁ + (n-1)d
- a₁ = -62, d = 5
<u>Applying same on the given function</u>
- f(n) = -62 + (n-1)*5 = -62 + 5n - 5 = 5n - 67
- f(n) = 5n - 67
The answer is 6.6 repeating, so 6.6666...
So first I took 1 and 3/5 and put it into decimal form which gave us 1.6, then I did the same with 3 and 1/3 and got 3.3 repeating, and now I multiply these and get 5.33333 repeating, and now I add the 3 and 1/3rd to get 6.6666 repeating.
Answer:
Below in bold.
Step-by-step explanation:
The surface area of the box
= x^2 + 4hx where x = a side of the square base and h is the height.
So x^2 + 4hx = 8
The volume of the box
V = x^2h
From the first equation we solve for h
4hx = 8 - x^2
h = (8 - x^2) / 4x
Now we substitute for h in the formula for the volume:
V = x^2 * (8 - x^2) / 4x
V = 8x^2 - x^4 / 4x
V = 2x - 0.25x^3
Finding the derivative:
V' = 2 - 0.75x^2 = 0 for max/mimn values
x^2 = 2/ 0.75 = 2.667
x = 1.633.
So the length and width of the base is 1.633 m and the height
= ( 8 - 2.667) / (4*1.633)
= 0.816 m
The maximum volume = 0.816 * 2.667 = 2.177 m^2.
The answers are correct to the nearest thousandth.
