Answer:
the first number in this sequence is 6....
Step-by-step explanation:
First number = x
2nd number = x+2
3rd consecutive even number = x+4
4th consecutive even number = x+6
Therefore,
By adding these numbers:
x+x+2+x+4+x+6= 36
Add the like terms:
4x+12=36
Combine the constants:
4x=36-12
4x=24
Divide both the terms by 4
4x/4 = 24/4
x= 6
Thus the first number in this sequence is 6....
Answer:
idk but heres an equation
Step-by-step explanation:
Since
2
π
r
=
37.68
,
r
=
18.84
π
Area=
π
⋅
(
18.84
)
2
π
2
=
354.9456
3.14
= 113.04
Let x be the number of cars. We will find out how many cars you have to wash to make as much money as your friend:
10x - 25= 13x - 55 Add 25 on both sides and subtract 13x, also both sides:
3x = -30 Now divide both sides by -3:
x= 10 cars you have to wash.
Since you want to cancel something out, the book makes the 24 3 times eight so that both of the threes can be canceled out
Answer:
c=80
Step-by-step explanation:
Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.
So let's see that characteristic equation:
20r^2+cr+80=0
The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.
a=20
b=c
C=80
c^2-4(20)(80)
We want this to be 0.
c^2-4(20)(80)=0
Simplify:
c^2-6400=0
Add 6400 on both sides:
c^2=6400
Take square root of both sides:
c=80 or c=-80
Based on further reading damping equations in form
ay′′+by′+Cy=0
should have positive coefficients with b also having the possibility of being zero.
