equivalent
1) 3^6
4) 3^-4 · 3^10
8) (3 · 3) · (3 · 3 · 3 · 3)
Step-by-step explanation:
<h2>_____________</h2>
equivalent
1) 3^6
4) 3^-4 · 3^10
8) (3 · 3) · (3 · 3 · 3 · 3)
It could be a linear graph with a negative slope
x axis is height above ground and y axis id air pressure
so there willbe a point at (0,14.7) on y axis representing the pressure at sea level. There will be another point at (3.6, 7.35) where air pressure is half that at ground level. The straight line will continue until it reaches the x axis ad (0, 7.2) where there is no air pressure.
Answer:
1.870828693387
Step-by-step explanation:
Standard Deviation, σ: 1.870828693387
Count, N:4
Sum, Σx: 12
Mean, μ: 3
Variance, σ2: 3.5
Steps
σ2 = Σ(xi - μ)2
N =
(6 - 3)2 + ... + (1 - 3)2
4 = 14
4 = 3.5
σ = √3.5
= 1.870828693387
Set to zero
0=4x^2+24x+11
factor
use ac method
muliplty 4 and 11
44
what 2 numbers multily to get 44 and ad to get 24?
2 and 22
0=4x^2+2x+22x+11
0=(4x^2+2x)+(22x+11)
0=2x(2x+1)+11(2x+1)
0=(2x+11)(2x+1)
set to zero
2x+11=0
2x=-11
x=-11/2
2x+1=0
2x=-1
x=-1/2
x=-11/2 and -1/2
Answer:
It costs $25 for a parent and $6 for a child
Step-by-step explanation:
Let x be the cost it takes for an adult to enter, and y be the cost it takes for a child to enter then...
x+y=31
150x+225y=5100
We can write the first equation in terms of x by subtracting y from both sides...
x=31-y
Now, we can solve the system of equations by substitution (substitute 31-y for x)...
150(31-y)+225y=5100
Distribute the 150 to the terms inside of the parentheses
150(31)-150(y)+225y=5100
4650-150y+225y=5100
Combine like terms
4650+75y=5100
Subtract 4650 from both sides
75y=450
Divide both sides by 75
y=6
Plug 6 back in for y to solve for x:
x=31-y=31-6=25
It costs $25 for a parent and $6 for a child
