Answer:
The cardinal number of h is house.
Answer:
5353 ft
Step-by-step explanation:
We have height of the mountain = x
We also have
tan (21°44')= x/13428.7 → x=5352.98ft
Height of the mountain to the nearest foot = 5353 ft
Hope this helps ʕ•ᴥ•ʔ
I can do the first part, but the second part is confusing...
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Find out how many plates Mike can pack in a minute.
60 (an hour) / .75 (3/4) = 45
180 / 45 = 4
Mike can pack 4 plates per minute.
Since Mike only packs 4 ppm, Lucy packs faster, with 5 plates per minute!
Answer:
56
Step-by-step explanation:
You have the correct approximate value of k. The part after that is where things get a bit strange.
You don't plug in t = 5 again. We don't know the value of t yet. We're trying to solve for it.
We do know u(t) is 135 as we want the temperature to be 135 degrees. Plug this in and isolate t.
So
u(t) = 70+380e^(-0.1004183888t)
135 = 70+380e^(-0.1004183888t)
135-70 = 380e^(-0.1004183888t)
65 = 380e^(-0.1004183888t)
380e^(-0.1004183888t) = 65
e^(-0.1004183888t) = 65/380
e^(-0.1004183888t) = 13/76
-0.1004183888t = ln(13/76)
-0.1004183888t = -1.7657839828248
t = -1.7657839828248/(-0.1004183888)
t = 17.5842692152893
So it takes about 17.58 minutes for the item to cool to the desired temp