Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. harvey runs at a constant rate. find his average speed in kilometers per hour.

12 2/3  km  per hour

Step-by-step explanation:

What is Harveys speed?

Take the distance and divide by the time

3 1/6 km

1/4 hour

Change the mixed number to an improper fraction

3 1/6 = (6*3+1)/6 = 19/6

19/6 km

1/4 hour

Copy dot flip

19/6 * 4/1 = 76/6 = 38/3  km/hr

3 goes into 38 12 times  (12*3 = 36)  with 2 left over

12 2/3  km  per hour

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).