strain - the deformation of a material from stress. It is simply a ratio of the change in length to the original length.
A group of scientists studied the effect of a chemical on various strains of bacteria. Strain A starA group of scientists studied the effect of a chemical on various strains of bacteria. Strain A started with 6000 cells and decreased at a constant rate of 2000 cells per hour after the chemical was applied. Strain B started with 2000 cells and decreased at a constant rate of 1000 cells per hour after the chemical was applied. When will the strains have the same number of cells? Explain.
Set up strain equations where h is the number of hours since time 0:
[LIST]
[*]Strain A: 6000 - 2000h
[*]Strain B: 2000 - 1000h
[/LIST]
Set them equal to each other
6000 - 2000h = 2000 - 1000h
Using our [URL='http://www.mathcelebrity.com/1unk.php?num=6000-2000h%3D2000-1000h&pl=Solve']equation solver[/URL], we see that [B]h = 4[/B]
A super deadly strain of bacteria is causing the zombie population to double every day. Currently, tA super deadly strain of bacteria is causing the zombie population to double every day. Currently, there are 25 zombies. After how many days will there be over 25,000 zombies?
We set up our exponential function where n is the number of days after today:
Z(n) = 25 * 2^n
We want to know n where Z(n) = 25,000.
25 * 2^n = 25,000
Divide each side of the equation by 25, to isolate 2^n:
25 * 2^n / 25 = 25,000 / 25
The 25's cancel on the left side, so we have:
2^n = 1,000
Take the natural log of each side to isolate n:
Ln(2^n) = Ln(1000)
There exists a logarithmic identity which states: Ln(a^n) = n * Ln(a). In this case, a = 2, so we have:
n * Ln(2) = Ln(1,000)
0.69315n = 6.9077
[URL='https://www.mathcelebrity.com/1unk.php?num=0.69315n%3D6.9077&pl=Solve']Type this equation into our search engine[/URL], we get:
[B]n = 9.9657 days ~ 10 days[/B]
I had a brother but my brother had no brothers. how can this beI had a brother but my brother had no brothers. how can this be
Because "I" is a female.
To solve trick questions like this, you must expand your theory of constraints.
Most people look at this problem and see the word [I]brother [/I]twice and limit themselves to thinking in terms of men.
StrainFree Strain Calculator - Solves for any of the 3 items in the strain equation: Change in Length, Strain, and Original Length
Youngs Modulus-Stress-StrainFree Youngs Modulus-Stress-Strain Calculator - Calculates any of the 3 items in the Youngs Modulus equation with stress and strain.
