In digging a hole, the construction crew records the depth of the hole relative to the ground level. The starting depth is zero feet. The table shows the proportional relationship between the depth of the hole and the number of hours digging. Find the constant of proportionality. How many hours of digging does it take for the depth of the hole to reach -38.5 feet?

Given the parent function of [tex]f(x)=x^4[/tex], what change will occur when the function is changed to [tex]f(\frac{1}{2} x)[/tex]?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

The distance of a chord from the centre of a circle is 12cm and the lenght of the chord is 10cm. find the radius of the circle