Answer:
b) y = 2/3x
Step-by-step explanation:
Slope (m) formula: 
I will be using (3,2) and (-3,-2) to find the slope:
(3,2)
Hope this helps!
Answer:
(10,10)
Step-by-step explanation:
coordinates are (x,y)
x is horizontal(left and right), y is vertical (up and down)
going down 6 means subtracting 6 from the second number
lets reverse that to go up and add 6 back
4+6=10
so the original point was (10,10)
Answer:
The length is 2m
Step-by-step explanation:
Subtract the distance of the hunter and the bird and you have your answer, 2 meters
Step-by-step explanation:
a triangular number n is the sum of all natural numbers <= n.
t1 = 1
t2 = 1+2 = 3
t3 = 1+2+3 = 6
t4 = 1+2+3+4 = 10
...
so,
tn = tn-1 + n
47.
1×8 + 1 = 9 is a square number.
3×8 + 1 = 25 is a square number
6×8 + 1 = 49 is a square number
10×8 + 1 = 81 is a square number
48.
1/3 = 0 remainder 1
3/3 = 1 remainder 0
6/3 = 2 remainder 0
10/3 = 3 remainder 1
15/3 = 5 remainder 0
21/3 = 7 remainder 0
28/3 = 9 remainder 1
so, there seems to be a pattern 1 0 0 1 0 0 1 0 0 1 ...
49.
1/4 = 0 remainder 1
4/4 = 1 remainder 0
9/4 = 2 remainder 1
16/4 = 4 remainder 0
25/4 = 6 remainder 1
36/4 = 9 remainder 0
49/4 = 12 remainder 1
so, there seems to be a pattern 1 0 1 0 1 0 1 0 1 0 1 ...
50.
polygonal numbers is the real name for this.
the formula for dimensions = 5 is
(3n² − n)/2
for dimensions = 6 it is
2n² - n
so, dimensions=5 (and therefore dividing also by 5) we get the remainders
1/5 = 0 remainder 1
5/5 = 1 remainder 0
12/5 = 2 remainder 2
22/5 = 4 remainder 2
35/5 = 7 remainder 0
51/5 = 10 remainder 1
70/5 = 14 remainder 0
92/5 = 18 remainder 2
117/5 = 23 remainder 2
145/5 = 29 remainder 0
here the pattern is 1 0 2 2 0 1 0 2 2 0 1 0 2 2 0 ...
dimensions=6 (and therefore dividing also by 6) we get the remainders
1/6 = 0 remainder 1
6/6 = 1 remainder 0
15/6 = 2 remainder 3
28/6 = 4 remainder 4
45/6 = 7 remainder 3
66/6 = 11 remainder 0
91/6 = 15 remainder 1
120/6 = 20 remainder 0
153/6 = 25 remainder 3
190/6 = 31 remainder 4
231/6 = 38 remainder 3
276/6 = 46 remainder 0
325/6 = 54 remainder 1
here the pattern is 1 0 3 4 3 0 1 0 3 4 3 0 1 0 3 4 3 0 ...
Answer:
Answers are below
Step-by-step explanation:
Hour 0 1 bacterium
Hour 1 3 bacterium
Hour 2 9 bacterium
Hour 3 27 bacterium
Hour 4 81 bacterium
Hour 5 243 bacterium
Hour 6 729 bacterium
After 24 hours, the number of the bacterium will reach 282,429,536,481.
B) This table represents exponential growth because of the number of bacterium always being multiplied by 3.
C) The reason that any number to the zero power is one is that any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.
D) Y = 1 + 3 to the power of x
E) The rule would change by having all of the numbers multiplied by 100 since there is 100 bacterium at Hour 0.
