Answer:
Step-by-step explanation:
1: 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10....
2: 2, 4, 6, 8, 10....
3: 3, 6, 9, 12, 15, 18, 21, 24, 27....
4: 4, 8, 12, 16, 20, 24, 28, 30....
5: 5, 10, 15, 20, 25, 30, 35 40, 45...
what do you mean
465.5
If you plug in the numbers into the formula.
base 1= 15
base 2= 34
height= 19
(32/15, -2/5)
(1) ³/₂x - 2y = 4
(2) x + ⅓y = 2
(3) 3x - 4y = 8 Multiplied (1) by 2
(4) 3x + y = 6 Multiplied (2) by 3
5y = -2 Subtracted (3) from (4)
(5) y = -⅖ Divided each side by 5
x + ⅓(-⅖) = 2 Substituted (5) into (2)
x - ²/₁₅ = 2
x = 2 + ²/₁₅ Added ²/₁₅ to each side
x = 32/15
The system of equations has only one solution: (32/15, -2/5).
9514 1404 393
a) 600
b) see below
c) 1.26 hours
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
__
b) see attached for a graph
c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
y=8/11x-2
in y=mx+b, the m= the slope, and the b=the y-intercept
13:11
325:275
If divided by 5 all through, you get 65:55, then by 5 again you get 13:11