Mandy has three stuffed animals. Two of the animals have a mass of 200 grams each, and the third one has a mass of 250 grams. Wh
2 answers:
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Answer:
The visitor should run approximately 14.96 mile to minimize the time it takes to reach the island
Step-by-step explanation:
From the question, we have;
The distance of the island from the shoreline = 1 mile
The distance the person is staying from the point on the shoreline = 15 mile
The rate at which the visitor runs = 6 mph
The rate at which the visitor swims = 2.5 mph
Let 'x' represent the distance the person runs, we have;
The distance to swim =
The total time, 't', is given as follows;
The minimum value of 't' is found by differentiating with an online tool, as follows;
At the maximum/minimum point, we have;
Simplifying, with a graphing calculator, we get;
-4.72·x² + 142·x - 1,070 = 0
From which we also get x ≈ 15.04 and x ≈ 0.64956
x ≈ 15.04 mile
Therefore, given that 15.04 mi is 0.04 mi after the point, the distance he should run = 15 mi - 0.04 mi ≈ 14.96 mi
Therefore, the distance to run, x ≈ 14.96 mile
Answer:
Step-by-step explanation:
The equation for the monthly charge has the following format
In which y(x) is the cost in function of the number of kilowatt-hours used(x), a is the price of each killowatt hour and b is the fixed(base) charge.
Base charge of $17.32 per month.
This means that
charge of 7.32 cents per kilowatt-hour
Our answer is in dollars. Each dollar is 100 cents. So 7.32 cents is
Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used.