Answer:
5,470 mg
Step-by-step explanation:
108 minutes is 4 half-lives:
<u> Time</u> <u> Lead</u>
<u> Min.</u> <u>mg Pb</u>
0 87520
27 43760
54 21880
81 10940
108 5470
1. This problem lacks given values, where are the
numbers? Just fill-in the numbers I will variables in this case.
Let us say that:
x = number of cups of flour
y = number of cups of white sugar
z = number of cups of brown sugar
(a) Just divide x by 6 to get cups of flour per serving
x / 6
(b) Simply add y and z and divide the sum by 6
(y + z)/6
(c) From (a) we know that there are x / 6 flours per
serving, so simply multiply that by 9 then subtract the original x to know how
much more you need:
[(x / 6) * 9] – x
2.
(a) We know that we deposit $5 per day, so after 5 days
we got:
total deposit = ($5 / day) * 5 days = $25
(b) The total deposit is 25 dollars, so removing $2 a day
we need:
25 / 2 = 12.5 days
3.
(a) d is distance, R is rate, T is time
32.12 = 8.8 T
(b) It is rightful to write distance d as a positive
number since the scuba diver was ascending towards the surface. If this is to
be plotted on a Cartesian plane, we are moving towards the positive y axis
(c) solving for T:
32.12 = 8.8 T
T = 32.12 / 8.8
T = 3.65 minutes
You answer should be 28.83%
Answer:
a. length = 0.7211 ft
b. width = 0.7211 ft
c. height = 140.3846 ft
Step-by-step explanation:
This is an optimiztion with restriction problem.
We have to minimize the cost, with the restriction of the volume being equal to 72 ft3.
As the cost for the sides is constant, we know that length and width are equal.
Then, we can express the volume as:
being x: length and z: height
We can express the height in function of the length as:
Then, the cost of the box can be expressed as:
To optimize C, we derive and equal to zero
![\dfrac{dC}{dx}=\dfrac{d}{dx}[0.8x^2+0.6x^{-1}]=1.6x-0.6x^{-2}=0\\\\\\1.6x=0.6x^{-2}\\\\x^{1+2}=0.6/1.6=0.375\\\\x=\sqrt[3]{0.375} =0.7211](https://tex.z-dn.net/?f=%5Cdfrac%7BdC%7D%7Bdx%7D%3D%5Cdfrac%7Bd%7D%7Bdx%7D%5B0.8x%5E2%2B0.6x%5E%7B-1%7D%5D%3D1.6x-0.6x%5E%7B-2%7D%3D0%5C%5C%5C%5C%5C%5C1.6x%3D0.6x%5E%7B-2%7D%5C%5C%5C%5Cx%5E%7B1%2B2%7D%3D0.6%2F1.6%3D0.375%5C%5C%5C%5Cx%3D%5Csqrt%5B3%5D%7B0.375%7D%20%3D0.7211)
The height z is then
Answer:
c
Step-by-step explanation:
