The points of the graph are> (1,1), (2,2), (3,4), (4,8).
Then the sequence is:
- for the x-coordinate: 1, 2, 3, 4, 5, 6, 7, ...
- for the y-coordinate: 1, 2, 4, 8, which is: 2^0, 2^1, 2^2, 2^ 3, ... so the next y-coordinates are 16, 32, 64, 128, ...
So, the sequence is: 1, 2, 4, ,8, 16, 32, .... 2^x.
Answer:

Step-by-step explanation:
We have two fractions and are being asked to subtract them.
7/8 and 1/3 don't have the same denominator, so to do as so, we need to find the LCM of both denominators, multiply them to that, and do the same for the numerators.
So what is the LCM (Least Common Multiple) of 8 and 3?
24.
Therefore :



step 1
find the coordinates of the factory
the factory is 104 miles due north of the warehouse
the coordinates of the warehouse are (39,-52)
coordinates of the factory------> (39,-52+104)------> (39,52)
step 2
find the distance warehouse to airport
let
A coordinates of warehouse-------> A( 39,-52)
B coordinates of airport---------> B(-39,52)
C coordinates of factory-------> C(39,52)
distance AB=√[(52+52)²+(-39-39)²]------> distance AB=130 miles
step 3
find the distance airport to factory
B(-39,52)
C(39,52)
distance BC=√[(52-52)²+(39+39)²]-----> distance BC=39 miles
the total number of miles=distance AB+distance BC---> 130+39
the total number of miles=169 miles
<em>Thus</em> the answer is 169
Answer:
12
Step-by-step explanation:
6 = 2*3
4 = 2*2
The least common multiple is
2*2*3 = 12
The least common denominator is 12
Which statement is not always true?(1) The product of two irrational numbers is irrational.
(2) The product of two rational numbers is rational.
(3) The sum of two rational numbers is rational.
(4) The sum of a rational number and an irrational number is irrational.
The statement that is not always true is the <span>sum of two rational numbers is rational. The answer is number 3.</span>