4√3 16 times 3 equals 48 and 16 is a perfect square(4) take out 4 and you’re left with 3 inside the radical
Answer:
1/36
Step-by-step explanation:
The only way of getting a total of 11 is rolling a 5 and a 6.
On each dice that is a 1/6 possibility
Multiply both possibilities to get 1/36.
Answer:
<u>M(t) = 6.7 * 10⁷ (67 million)</u>
<u>Minutes (t) =55</u>
Step-by-step explanation:
1. Write an exponential equation that represents M, the total number of bacterial microbes in millions, as a function of t, the number of minutes the sample has been observed.
For answering this question, we will use the following formula:
M(t) = B₀ * g ^(t/m), where:
- M(t) represents the total number of bacterial microbes in millions.
- B₀ represents the initial population of bacteria in millions.
- g represents the growth factor.
- t represents the total number of minutes we will observe the bacteria growing.
- m represents the time in minutes it takes to the growth factor g to occur.
2. Then, determine how much time, to the nearest minute, will pass until there are 67 million bacterial microbes.
M(t) = B₀ * g ^(t/m)
Replacing with the values we know:
6.7 * 10⁷ = 10⁷ * 2 ^(t/20)
6.7 = 2 ^(t/20) (Dividing by 10⁷ at both sides)
ln 6.7 = ln 2 ^(t/20)
ln 6.7 = t/20 ln 2
ln 6.7/ ln 2 = t/20
t = ln 6.7/ln 2 * 20
t = 2.74 * 20
t = 54.88
<u>t ≅ 55 (rounding to the nearest minute)</u>
First, list all possibile combinations(alphabetized for convenience):
abcd
abdc
acbd
acdb
adbc
adcb
bacd
badc
bcad
bcda
bdac
bdca
cabd
cadb
cbad
cbda
cdab
cdba
dabc
dacb
dbac
dbca
dcab
dcba
Going down the list, number 17 is cdba.