Use the rational exponent property to write an equivalent expression for
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Answer:
Step-by-step explanation:
Linear Modeling
The initial temperature outside is 84 degrees.
We are told the temperature drops 2 degrees every hour.
Let's call x to the number of hours elapsed. After x hours, the temperature would have dropped by 2x degrees, since it's a rate of 2 degrees per hour.
That drop is subtracted from the initial temperature to produce the linear model as follows:
This is the linear equation that represents the described situation.
1.7 hrs
Step-by-step explanation:
We can use cosine law to find the distance d:
where. a = 3 mi
b = 4 mi
gamma = 71.7°
d^2 = (3mi)^2 + (4 mi)^2 - 2(3 mi)(4 mi)cos(71.7)
= 9 mi^2 + 16 mi^2 -24cos(71.7)
= 17.464 mi^2
or
d = 4.2 mi
To find the time it takes for him to go from the cave to the waterfall, divide this distance d by his walking rate of 2.5 mi/hr:
t = d/v = 4.2 mi/2.5 mph
= 1.7 hrs