For number 16 we need to write the data as a ratio then convert to a unit rate (amount per 1)...
308/14 = x/1
Cross multiply
14x = 308
x = 308/14
x = 22
So the fuel efficiency is
22 miles per 1 gallon or
22/1
For number 17, since the car was driven at 48 mph, we just have to divide distance driven by speed to get how long it took...
288 miles ÷ 48 mph =
6 hours
Well, by definition, the tangent vector is the vector that is the result of differentiating every component of the function. Hence, the tangent vector is T=(3,-5sint,5cost). This has a magnitude of
which yields |r|=
(by using the known trigonometric formula
that holds for all t). Thus, the unit tangent vector t is given by: t=
. Now, to find a normal unit vector, we just need to find a normal vector N and scale it appropriately. To find a normal unit vector, we can just find vector that satisfies V*T=0 (dot product of vectors). By inspection, we see that the vector N=(0, cost, sint) satisfies this requirement and that it is also a unit vector (due to the aforementioned trigonometric identity). Hence, a normal unit vector to our vector function is N.
Answer:
In multiplication, 216x27 is the same as 27x216
It is also the same expression as 6x^9
Answer:
hi
Step-by-step explanation:
Sorry u gonna fail cause I to dumb.
Using the form y1 - y2/x1 - x2, we get:
-2 - (-4)/-4 - 3 => -2 + 4/-7 => 2/-7 => -2/7. The slope is the same, therefore the lines are parallel.
Hope this helps.