Let's start with the smallest prime number 2
60/2 = 30
Divide that result over 2
30/2 = 15
We can't divide this by 2 because 15/2 = 7.5 isn't a whole number
Let's move onto 3
15/3 = 5
The result is a prime number, so we stop.
The values we divided as denominators were: {2, 2, 3}
We add the result 5 to the set to completely list all of the prime factors of 60
The prime factorization would be
<h3>60 = 2*2*3*5</h3>
which is the same as saying
<h3>60 = 2^2*3*5</h3>
Answer:
21.6 liters
Step-by-step explanation:
40 drops make up a volume of 10 mL
Therefore, the volume of 1 drop of water = 10mL/40 = 1/4 mL= 0.25mL
Since the tap loses 1 drop of water in 1 sec, it loses 0.25mL of water in 1 second
60 seconds make up 1 second so volume of water lost in 1 minute = 0.25 x 60 = 15 mL
60 minutes make up 1 hour so volume of water lost in 1 hour = 15 x 60 = 900 mL
24 hours make up a day so volume of water lost in 1 day = 900 x 24 = 21,600 mL
Since 1000 mL make up 1 liter, divide by 1000 to get volume in liters
Volume of water lost in 1 day = 21600/1000 = 21.6 liters
Can be done as one equation
V lost in one day = 0.25 x 3600 x 24 mL = 21600 mL = 21.6 L
Answer:
1/2
Step-by-step explanation:
theoretical probability of a coin flip is always 50% heads, 50% tails
F(x) = 1 / (x - 2)...when x = 4
f(4) = 1 / (4 - 2)
f(4) = 1/2 <==
f(x) = 1 / (x - 2)...when f(x) = 1
1 = 1 / (x - 2) ...multiply both sides by (x - 2) eliminating it on the right
1(x - 2) = 1
x - 2 = 1
x = 1 + 2
x = 3 <==