Answer: it will take 9 hours.
Step-by-step explanation:
The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 18 inches
d = 1.5 inches
The expression becomes
Tn = 18 + 1.5(n - 1)
For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30
Therefore,
30 = 18 + 1.5(n - 1)
1.5(n - 1) = 30 - 18
1.5(n - 1) = 12
n - 1 = 12/1.5 = 8
n = 8 + 1
n = 9
Answer:
26 minutes and 40 seconds
Step-by-step explanation:
Answer:
33% of 279 is equivalent to multiplying them: 33% × 279.
Step-by-step explanation:
Proportion
3 parts milk. 12cups
2 parts sugar X
8 cups sugar
Answer:
Step-by-step explanation:
Hello, we know that the z complex solutions of
are
1, i, -1, -i
so, the solutions of 
are
2, 2i, -2, -2i
Thank you
