Ahyena can run one over four of a mile in 22.5 seconds. at this rate, which equation can be used to determine how fast a hyena runs in miles per hour?

Step-by-step explanation:

We know that the hyena runs a distance of

In a period of time of

However, the problem is asking for a speed in hours. We have to transform from 22.5 seconds to hours

Now, the relation of the movement is

; Where is the distance covered, the times the hyena took to covered that distance and the speed.

This is the equation we can used to find how fast the hyena runs.

Now, using given values and solving for

Therefore, the hyena runs 40 miles per hour.

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.