Using disks ...
The volume is 21π units³ ≈ 65.97 units³
The volume is 21π units³ ≈ 65.97 units³
Hiroshi is looking to update his hat selection, and has $300 to spend. If his preferred style of hat costs $50.30 including tax,
2 answers:
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The first thing we are going to do for this case is define variables.
We have then:
x: number of days
y: number of pages remaining.
We write the linear equation that models the problem:
The intersection with the vertical axis is:
We evaluate x = 0:
We get the point:
The intersection with the horizontal axis is:
We evaluate y = 0:
We get the point:
Answer:
The graph is:
Graph located in the bottom left.
Answer:
(a) A = (20mg)/(2^(t/30))
(b) 12.6mg
(c) 129.6years
Step-by-step explanation:
To calculate the amount remaining after a number of half-lives, n, we can make use of:
Where A = amount remaining
B = initial amount
(a) A = (20mg)/(2^(t/30))
(b) Mass after 20years
A = (20mg)/(2^(20/30)) ≈ 12.6mg
(c) After how long will only 1mg remain:
1mg = (20mg)/(2^(t/30))
Taking log of both sides we have:
Log(20) = (t/30)log(2)
t/30 = (log(20))/(log(2)) ≈ 4.3
t/30 = 4.3
t = 30 x 4.3 ≈ 129.6years.