She finished at 7:00. The length of her study time is 2 hours and 30 minutes.
Answer:
a. 4P4 = 24
b. 10P2 = 90
c. 5P1 = 5
Step-by-step explanation:
permutation is the act of arranging the members of a set into a sequence or order( in permutation order is important)
Given a permutation nPr
nPr = n!/(n-r)!
Substituting for each of the cases below we have;
a)4P4 = 4!/(4-4)! = 4! = 24
b) 10P2 = 10!/(10-2)! = 10!/8! = 10×9 = 90
c) 5P1 = 5!/(5-1)! = 5!/4! = 5
To do these problems, you need to multiply your (x - 3) by something to make it the same as the first number under your radical sign. For example, for the first step, I multiplied (x - 3) by -2x^2 to get (-2x^3 +6x^2). When you subtract it from the number under your radical like you would in regular long division, you can change its signs to cancel out the first number under the radical. The blocky-looking subtraction signs are ones I changed. Your final answer is (-2x^2-10x-27) with a remainder of -79.
Answer: D
Step-by-step explanation:
Answer:
Volume = 18 * pi in^3 OR IF pi=3.14 THEN Volume = 56.52 in^3
Step-by-step explanation:
Volume = Area(circle) * Height
Volume = pi*(diameter/2)^2 *Height
Volume = pi* 2.25 * 8
Volume = 18 * pi in^3
And if pi=3.14 then:
Volume = 56.52 in^3