2/3 miles in 1/12 of a hour
We need twelve 1/12 to make a whole hour
(2/3)•12 = 24/3= 8 miles
8 miles per hour
Answer:
Step-by-step explanation:
Step-by-step explanation:
Percentage for Rollerblading
= Total - Percentage for Swimming - Percentage for Biking
= 100% - 43% - 15%
= 42%.
Answer:
Step-by-step explanation:
We want to find the minimum-degree polynomial with real coefficients and zeros at:
As well as a <em>y-</em>intercept of 64.
By the Complex Root Theorem, if <em>a</em> + <em>b</em>i is a root, then <em>a</em> - <em>b</em>i is also a root.
So, a third root will be 4 - 4i.
The factored form of a polynomial is given by:
Where <em>a</em> is the leading coefficient and <em>p</em> and <em>q</em> are the zeros. More factors can be added if necessary.
Substitute:
Since we want the minimum degree, we won't need to add any exponents.
Expand the second and third factors:
Hence:
Lastly, we need to determine <em>a</em>. Since the <em>y-</em>intercept is <em>y</em> = 64, this means that when <em>x</em> = 0, <em>y</em> = 64. Thus:
Solve for <em>a: </em>
Our factored polynomial is:
Finally, expand:
Answer: The height of hill is 125 feet.
Step-by-step explanation:
Given that velocity of the rollercoaster is
Where, is initial velocity and h is height from top of hill.
and v is velocity at height h.
Initial Velocity is 10feet/sec at top of hill.
Also, Velocity at bottom of the hill is 90feet/sec.
Therefore, the value of h at top of the hill is h=0 and value of h at bottom of the hill is h=h
8100=100+64h
8000=64h
h=125 feets.
Thus, The height of hill is 125 feet.