Answer:
x ≈ 1.8 cm gives the greatest volume
Step-by-step explanation:
After cutting x cm from each corner in each direction, the cardboard can be folded up to make a box that is x cm deep and (12 -2x) by (10 -2x) in length and width. Clearly, values of x are limited to 5 or less, since cutting 5 cm from each side would leave a width of zero. Then the volume is given by ...
V = x(12 -2x)(10 -2x)
The plot below shows the value of this cubic equation for volume, and identifies the peak as (x, V) ≈ (1.8, 96.8). That is, a cut of 1.8 cm will result in a box of approximate volume 96.8 cm³.
First turn into a improper fraction, then just simply flip it over. Here's an example: 2 1/3 = 7/3 So your reciprocal is 3/7
Answer:
The population will be of 2400 in 36 years.
Step-by-step explanation:
The equation for the population of plants after t years follows the following format:
In which P(0) is the initial amount of plants and r is the yearly rate which it increases.
Assuming that the initial population is 300
This means that P(0) = 300.
The doubling time of a population of plants is 12 years.
This means that P(12) = 2*300 = 600.
We use this to find r.
![\sqrt[12]{(1+r)^{12})} = \sqrt[12]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B12%5D%7B%281%2Br%29%5E%7B12%7D%29%7D%20%3D%20%5Csqrt%5B12%5D%7B2%7D)
So
How large will the population be in 36 years
This is P(36)
The population will be of 2400 in 36 years.
You are given the unknown number which has a quotient of 3 and a
remainder of 28. This means that 3 is the whole number from the division of the
unknown number and 43 and 28 is the decimal, 3.28. Also, the number is divided
by 43 too. Let us denote n as the number so we have n/43. Then equate the n/43
to 3.28.
n/43 = 3.28
n = 43 (3.28)
n = 141.04
<span>The number is 141. 04</span>
Set up a proportion.
=
Cross multiply.
2x=36
x=12
It would take her 12 minutes.
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Formula for
surface area of a cube: 6a² where
a=20.6 x (20)²
6 x 400
= 2400
Surface area: 2400 cm
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Mean absolute deviation: The average distance from each number in the set to the mean of the set.
Mean of the set:
9.6-3=6.6
9.6-8=1.6
10-9.6=0.4
12-9.6=11.4
15-9.6=5.4
Mean of 6.6, 1.6, 0.4, 11.4, and 5.4:
