Answer:
5.291 times 10 Superscript 12
Step-by-step explanation:
(4.81 × 10¹⁶)(1.1 × 10^-4)
(4.81 × 1.1) × 10^(16-4)
5.291 × 10¹²
Ok you’ll know that it’s 0.31%
Explanation:
The process is start by making it into a fraction, 2/650 then divide 2 by 650 to get 0.0031 (I rounded up) which to make it into a percentage, you move everything two spot closer to the “.”
0.31 then add a % and bam that’s the answer.
Hope this helps!
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
Represent the length of one side of the base be s and the height by h. Then the volume of the box is V = s^2*h; this is to be maximized.
The constraints are as follows: 2s + h = 114 in. Solving for h, we get 114 - 2s = h.
Substituting 114 - 2s for h in the volume formula, we obtain:
V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)
This is to be maximized. To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:
dV
----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2
ds
Simplifying this, we get dV/ds = -4s^2 + 114s = 0. Then either s = 28.5 or s = 0.
Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in
and the volume is V = s^2(h) = 46,298.25 in^3
Step-by-step explanation:
A chef uses 2/3 cup of flour for every 1/8 cup of water in a dough recipe.
It means,
2/3 cup = 1/8 cup of water

Hence, the constant of proportionality is 0.1875.