Explanation:
Find the two closest square numbers to 1659.
40*40=1600
41*41=1681
Decide much closer to either 1600 or 1681 is 1659.
If it is exactly halfway between the two numbers, the square root is 40.5.
If it is closer to 1600, the sq rt decimal is between 1 and 4.
If it is closer to 1681, the sq rt decimal is between 6 and 9.
Answer:
2x² + 19x + 45
Step-by-step explanation:
(x + 5)(x + 1) + (x + 5)(x + 8) ← expand both sets of factors using FOIL
= x² + 6x + 5 + x² + 13x + 40 ← collect like terms
= 2x² + 19x + 45

Substituting this into the other ODE gives

Since
, it follows that
. The ODE in
has characteristic equation

with roots
, admitting the characteristic solution

From the initial conditions we get



So we have

Take the derivative and multiply it by -1/4 to get the solution for
:

Isn't it impossible to drink from an empty bottle?
Answer:
293 feet per second
Step-by-step explanation:
1056000 feet per hour
1 hour = 60 minutes
1056000 divided by 60 = 17600 feet per minute
1 minute = 60 seconds
17600 divided by 60 = 293 feet per second