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Aleksandr-060686
2 months ago
10

A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes. (Use set notation for the domain and ran

ge of the function that models this situation.)
Mathematics
2 answers:
PIT_PIT [12.4K]2 months ago
8 0
Answer: Domain: Range: Step-by-step explanation: We have established that a bicyclist travels at a constant speed of 12 miles per hour for a time duration of 45 minutes and we need to express the domain and range in set notation. Since the bike is traveling at a consistent rate, the distance it travels at any time t (in minutes) would be. The domain of a function consists of all values of its independent variable (in this case time). Given that the bicycle rides for 45 minutes, or 0.75 hours, the domain of our function is therefore confined to the interval as presented in set notation. To find the maximum limit of the range of our function, we substitute into our equation: Thus, the range of our function is delineated in set notation.
Inessa [12.5K]2 months ago
5 0
A cyclist maintains a consistent speed of 12 miles per hour over a period of 45 minutes. We apply the formula, Distance = speed * time With a constant speed of 12, it reflects a linear relationship. The equation is represented as d = 12t, where t stands for time and d signifies distance. At the origin, t=0 and distance d=0. At the conclusion, t=45 min = 0.75 hours and consequently, distance is 12 * 0.75 = 9. Thus, the domain (t) is { } Range (d) is { }
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A jet climbs at a steady rate at an angle of inclination of 0.5 degree during game off what will its he height be after a 2.2 km
zzz [12365]
A right triangle will have 2.2 km as its hypotenuse, with an angle of 0.5 degrees and an unknown height (see attachment).

Remember to apply the trigonometric ratios: sine, cosine, and tangent for right triangles.
Sin<span>θ = opposite side/hypotenuse
</span>Cos<span>θ = adjacent side/hypotenuse
</span>tan<span>θ = opposite side / adjacent side
</span>In this scenario, θ signifies the angle (not the right angle), which is given as 0.5°.

For this problem, we use sine as we have the side opposite the angle (the unknown height h) and the hypotenuse, with sine relating these two sides.

Let h represent the unknown opposite side, the height.
sin(0.5°) = h / (2.2km)
h = (2.2km)sin(0.5<span>°)
h = 0.019 km

I hope this has clarified your question! If you need clarification on any steps, please ask below.</span>
3 0
3 months ago
Tran has a credit card with a spending limit of $2000 and an APR (annual percentage rate) of 12%. During the first month, Tran c
babunello [11817]

Detailed explanation:

Information provided:

Tran possesses a credit card that allows up to $2000 in spending with an APR of 12%.

In the initial month, Tran incurred charges of $450 and settled $150 within that billing period.

The formula to determine the interest that will accrue for Tran in the first month is (0.012)(300)

Here, 0.01 signifies the monthly interest rate.

The 300 reflects the outstanding balance, as Tran charged $450 but only paid back $150.

5 0
3 months ago
Steve can​ wash, fold, and iron a basket of laundry in two hours and prepare a meal in one hour. His roommate Mike can​ wash, fo
lawyer [12517]
Steve possesses an absolute advantage in laundry while Mike holds the comparative advantage in meal preparation.
7 0
2 months ago
Find the slope of a pipe that slopes down 2/5 inch per foot.
babunello [11817]

Answer:

m=\frac{1}{30}

Step-by-step explanation:

To determine the slope, divide the rise by the run to calculate the slope.

Note that

1 ft = 12 in

Let

y ----> the rise

x ----> the run

m ----> the slope

m=\frac{y}{x}

the values are given as

y=2/5\ in

x=1\ ft=12\ in

m=\frac{y}{x}

substituting these values gives

m=\frac{(2/5)}{12}

m=\frac{2}{60}

Simplifying further

m=\frac{1}{30}

3 0
4 months ago
Read 2 more answers
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