1.
The description of set K as <span> {(x, y) | x - y = 5}, means the following:
the elements of set K are pairs (x,y)
such that: x-y=5, that is we can write(x, y) = (x, x-5).
2.
A set of (ordered) pairs is a function, if each of the first coordinates is paired to only 1 specific value, not 2 or more.
for example: {(1,2), (3, 5), (3, 8)} is not a function because 3 is not paired to only one second value, we have (3, 5) but also (3, 8).
whereas, {(-2, 4), (3, 5), (8.1, 17)} is a function, because each first coordinate is unique, we don't see it again in another pair.
3.
Back in our set K, the description of pairs (x,y) as </span>(x, x-5)
makes sure that each x, produces a specific y, for example in K we have:
(5, 0), and we cannot have (5, a value ≠0), because it would not fit the description (x, x-5)
Answer: yes
a) If the motorcycle starts from rest, then we have an initial speed equal to zero (V0 = 0), with this we can choose a formula that does not contain the initial speed, now we also know that what it asks us is the time that it takes a certain speed to pass, so the formula we will use will be:
Clearing "t"
The distance is in Kilometers, we first need to pass this distance in meters, so we'll need to do our conversion:
1.6 km = 1600m
Substituting our data into the formula:
So the motorcycle will take 84.32 seconds to travel 1600 meters.
b) Since we are asked to obtain the speed in the time it took for the 1600 meters, we are going to use the following formula.
Substituting our data:
In order to express the final result of the speed, in terms of km/h, we would only apply the conversion factors.
Answer:
1607.68 square miles
Step-by-step explanation:
use pi r squared
Answer:
D
Step-by-step explanation:
We will need to use the compound interest formula:
A = P(1 + r)ⁿ
A = final amount
P = Initial amount
r = rate
n = time applied
Our equation will then look like this
A = 500(1.05)⁸
A = 738.72772