Answer:
Step-by-step explanation:
Given that,
Cells are divided into two cell every 20mins, this implies that the half-life is 20mins
Initial population growth is 60cells
Growth rate r?
Population growth is modeled as
P(t) = Po•exp(rt)
Where,
Po is the initial growth at t= 0
Po= 60
P(t) is population at any time t.
Since the population doubles every 20mins(⅓hr)
Then, P(⅓) = 2×60 =120
Then, P(t) = 120cells
So, applying the formula
P(t) = Po•exp(rt)
120 = 60•exp(⅓r)
120/60 = exp(r/3)
2 = exp(r/3)
Take In of both sides
In(2) = r/3
Cross multiply
r = 3In(2)
r = 2.079 /hour
The growth rate is 2.079/hour.
Answer:
Total magnification of microscope at this setting is 40X
Step-by-step explanation:
Total magnification of microscope is determined by multiplying the magnification power of individual lenses.
So if eyepiece has magnification power of 10X and objective lense has magnification power of 4X , the total magnification of microscope would be
10 × 4 = 40
which means the object will appear 40 times larger than actual object.
17.
x = -2 is not a solution of -1 < x < 5 because -2 < -1 (-1 < -2 < 5 FALSE).
18.
m = 5 is a solution of 5 ≤ m because 5 ≤ 5 ( 5 ≤ m → m ≥ 5 greater than 5 or equal 5, 5 is equal 5)
19.
k = 10 is not solution of 2k - 3 < 1 because:
put the value of k to the inequality:
2(10) - 3 < 1
20 - 3 < 1
17 < 1 FALSE
Answer:
3
Step-by-step explanation:
Intercept theorem
DE // CB ⇒ 
⇒ 
⇒ ? = 3
So the first thing you would have to is to find a common denominator so a common denominator between 11 and 15 is 165. 3/11 * 15 =45/165 next you would do 7/15 * 11=77/165 no that both denominators are the same we add the numerator but the denominator stays the same so 45/165 + 77/165 = 122/165
and since it can't be reduced any more 122/165 is your answer.
hope this helps :)
