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Brrunno [24]
3 years ago
8

Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. Each month, he wants to complete at least 36

miles but not more than 90 miles. The system of inequalities represents the number of hours he can walk, w, and the number of hours he can run, r, to reach his goal. 3w + 6r ≥ 36 3w + 6r ≤ 90 a graph shows w on the x-axis, from 0 to 30, and t on the y-axis, from 0 to 24. Two solid lines are shown. The first line has a negative slope and goes through (0, 6) and (12, 0). Everything above and to the right of the line is shaded. The second line has a negative slope and goes through (0, 15) and (30, 0). Everything to the left of the line is shaded. Which combination of hours can keitaro walk and run in a month to reach his goal? 2 hours walking; 12 hours running 4 hours walking; 3 hours running 9 hours walking; 12 hours running 12 hours walking; 10 hours running.
SAT
2 answers:
Serhud [2]3 years ago
4 0

Answer:

A

Explanation:

I got it right on Edge 2022.

AveGali [126]3 years ago
3 0

Answer:

A. 2 hours walking; 12 hours running.

I am aware this is a multiple choice question. There is only one answer.

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The yellow numbers in the figure show, in order, the events in the production and breakdown of red blood cells, including the re
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The yellow numbers according to the steps are: absorbs, transport nutrient, erythrocytes, races, breakdown, hemoglobin, iron, bilirubin.

<h3>What is the function for erythrocytes?</h3>

Red blood cells are known to be called as erythrocytes and they hep to move oxygen to the tissues in your body.

Note that using the diagram, The yellow numbers according to the steps are: absorbs, transport nutrient, erythrocytes, races, breakdown, hemoglobin, iron, bilirubin.

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a helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2 kilometers per minute. if the heli
Murrr4er [49]

The Pythagoras' theorem and the uniform motion allows to find the answer for the rate of change of distance is

               v = 32.3 m / s

The distance is the length of the segment that a white house wing with the helicopter, this can be found using the Pythagoras' theorem

               R = \sqrt{x^2 + y^2}

Where R is the distance, x is the horizontal distance where the helicopter flies and y is the vertical distance that corresponds to the flight height

y = 500 m

Since the helicopter flies at constant speed, we can use the uniform motion relation

              v_h = \frac{x}{t}

              x = v_ht

Where v_h is the speed of the helicopter and t is the time

We substitute  

                r = \sqrt {(V_h \ t)^2 + y^2}

Kinematics defines velocity as the change of position in the unit of time

            v = \frac{dR}{dt}

           v = \frac{1}{2} \  \frac{2 ( v_h t) v_h}{ \sqrt{(v_h t)^2 + y^2} }

           v = \frac{v_h^2 \ t}{ \sqrt{(v_h t)^2 + y^2} }

This expression is the change in distance as a function of time for a given speed. In the exercise, this speed is requested for a time of one minute, for the helicopter speed of

        v = 2km/min (\frac{1000m}{1km} ) ( \frac{1 min}{60s}) = 33.33 m / s

Let's calculate

            v = \frac{33.33^2 \ 60 }{ \sqrt{ )33.3 \ 60)^2 +500^2} }

         

            v = 32.3 m / s

In conclusion using the Pythagoras' theorem and the uniform motion we can find the answer for the rate of change in distance is

               v = 32.3 m / s

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