The correct answer is $3. Please mark me brainiest. :)
Answer:
15 cm
Step-by-step explanation:
Median means middle number
10,15,15,18,20
Answer:
The equation of line M in slope intercept form is 
The equation of line M in standard form is
Step-by-step explanation:
step 1
Find the slope of line M
The formula to calculate the slope between two points is equal to

we have the points
(2,4) and (0,1)
substitute



step 2
Find the equation of the line M in point slope form

we have


substitute

----> equation in point slope form
step 3
Find the equation of line M in slope intercept form

Isolate the variable y in the equation of the line in point slope form

Adds 1 both sides

step 4
Find the equation of the line M in standard form

where
A is a positive integer
B and C are integers
we have

Multiply by 2 both sides

---> equation in standard form
Answer:
f) a[n] = -(-2)^n +2^n
g) a[n] = (1/2)((-2)^-n +2^-n)
Step-by-step explanation:
Both of these problems are solved in the same way. The characteristic equation comes from ...
a[n] -k²·a[n-2] = 0
Using a[n] = r^n, we have ...
r^n -k²r^(n-2) = 0
r^(n-2)(r² -k²) = 0
r² -k² = 0
r = ±k
a[n] = p·(-k)^n +q·k^n . . . . . . for some constants p and q
We find p and q from the initial conditions.
__
f) k² = 4, so k = 2.
a[0] = 0 = p + q
a[1] = 4 = -2p +2q
Dividing the second equation by 2 and adding the first, we have ...
2 = 2q
q = 1
p = -1
The solution is a[n] = -(-2)^n +2^n.
__
g) k² = 1/4, so k = 1/2.
a[0] = 1 = p + q
a[1] = 0 = -p/2 +q/2
Multiplying the first equation by 1/2 and adding the second, we get ...
1/2 = q
p = 1 -q = 1/2
Using k = 2^-1, we can write the solution as follows.
The solution is a[n] = (1/2)((-2)^-n +2^-n).
Answer:
558.036 lb
Step-by-step explanation:
Let x is the amount of the sea water to collect 125 lb of sea salt
As given: 64 lb/ft³ has 0.0035 dissolved salt by weight
So the formula to find out the amount of the sea water is:
64 lb/ft³ * 0.0035 *x ft³ = 125 lb
<=> x =
= 558.036 lb
Hope it will find you well.