There are several information's already given in the question. based on those information's, the answer can be easily determined.
Height of the box = h cm
Length of the box = 10 cm
Width of the box = 2h
Then
Volume of the box = Length * height * width
= 10 * h * 2h cubic cm
= 20h^2 cm^3
I hope that the above procedure is clear enough for you to understand and it has actually come to your desired help.
Answer:
A is correct
Step-by-step explanation:
because the sequence is the 4 and 4
-7 + 4= -3
-3 + 4= 1
1 + 4= 5
After clarification we see the respective diameters are
![A = 2.3 \times 10^{-a}](https://tex.z-dn.net/?f=A%20%3D%202.3%20%5Ctimes%2010%5E%7B-a%7D)
![B = 2.3 \times 10^{-b}](https://tex.z-dn.net/?f=B%20%3D%202.3%20%5Ctimes%2010%5E%7B-b%7D)
We're asked about the ratio
![A:B = 2.3 \times 10^{-a} : 2.3 \times 10^{-b} = 10^{-a} : 10^{-b} = 10^b : 10^a = 10^{b-a} : 1](https://tex.z-dn.net/?f=A%3AB%20%3D%20%202.3%20%5Ctimes%2010%5E%7B-a%7D%20%3A%20%202.3%20%5Ctimes%2010%5E%7B-b%7D%20%3D%2010%5E%7B-a%7D%20%3A%2010%5E%7B-b%7D%20%3D%2010%5Eb%20%3A%2010%5Ea%20%3D%2010%5E%7Bb-a%7D%20%3A%201)
Now we can go through the choices.
A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.
![A:B=10^{6-4}:1 = 100:1](https://tex.z-dn.net/?f=%20A%3AB%3D10%5E%7B6-4%7D%3A1%20%3D%20100%3A1)
It would be more proper to say the diameter of cell A is 100 times the diameter of cell B, but yes, this is TRUE.
B. If a = 4 and b = 6, then cell b is 100 times greater than cell a.
FALSE. 10 to the minus 4 is 100 times bigger than 10 to the minus 6, so a is bigger.
C. If a = 4 and b = 6, then cell a is 2 times greater than cell b.
FALSE. We already calculated its 100 times bigger.
D. If a = 4 and b = 6, then cell b is 2 times greater than cell a.
FALSE.
I think is A and the another question is B
Answer:
The population of Bear in 2050 is 4750000
Step-by-step explanation:
A) The exponential growth equation for bear is as follows -
dN/dT = rmax * N
Where dN/dT = change in population
rmax is the maximum rate of change
N = Base population
B) Here the per capita rate of increase (r) will always be a positive value irrespective of the and hence we will assume this population to be growing exponentially.
C) dN/dT = rmax * N
D) dN / 5 = 2.5 * 380,000
dN = 5*2.5 * 380000
= 4750000