Answer:
Step-by-step explanation:
Formula to be used is N=N0e^(kt)
N0 - amount of bacteria at time 0, which is 10g
t=2, 30g
30 = 10*e^(k*2)
3 = e^(2k)
2k = ln3
k = 0.5ln3
At t=6:
N = 10*e^(0.5ln3*6)
N = 10e^(3ln3)
N = 10e^ln27
N = 10*27 =270
So the amount of bacteria at t=6 is 270
The numbers are irrational, so they can't be exactly written down
using only digits.
In exact form, they are
1 + √57
and
1 - √57 .
In rounded form, they are
8.54983
and
-6.54983 .
Answer:
n/3 - 18
Step-by-step explanation:
"quotient of a number and 3" is n/3, and so
"18 less than the quotient of a number and 3" as an expression is:
n/3 - 18
Answer:
Slope = -1/5
Step-by-step explanation:
(-5, -2)(5, -4)
Slope: 
Answer:
w = 2
Step-by-step explanation:
Distribute the expression and compare like terms with the simplified version.
Given
wx(3y² + 6y - 2) ← distribute parenthesis
= 3wxy² + 6wxy - 2wx
Compare coefficients of like terms with
6xy² + 12xy - 4x
Compare xy² term, then
3w = 6 ( divide both sides by 3 )
w = 2
Compare xy term, then
6w = 12 ( divide both sides by 6 )
w = 2
Compare x term, then
- 2w = - 4 ( divide both sides by - 2 )
w = 2
Hence the required value of w is 2
