Answer: x = -15
Step-by-step explanation:
Think PEMDAS
First, we factor the parenthesis:
-4 (x-4) = -4(x) + -4(-4)
now we are left with -4x + 16 = -44
Next is to isolate the "x":
to do this, we must subtract 16 from -44
-44 - 16 = 60
now we have -4x = 60
Now we divide both sides by -4 in order to isolate "x"
dividing -4x/-4 = x
diving 60/-4 = -15
the answer is x= -15
Answer:
<u>Part 1:</u> Angle = 154.3°
<u>Part 2:</u> About 2.33 Rotations
Step-by-step explanation:
Part 1:
The arc length of a circle is given by the formula 
Where
- s is the arc length
- r is the radius of the circle
is the angle
**The angle are in radians and we will use radian**
When smaller gear has made 1 complete rotations (
radians), the arc length traveled is 
Now, what angle is swept by the larger circle when it travels
? Put in
and r is 7 to find
:

** Since
radians is 180°, we plug in 180 into
and find the degree measure:

Angle = 154.3°
Part 2:
In one complete rotation of the larger gear, it travels a distance of:

We know that the smaller circle makes 1 rotation and travels
, so in
distance, it makes:
Rotations = 
About 2.33 Rotations
Answer:
I think it is 4
the decimal is 3.5
so the number is 4?
Step-by-step explanation:
Another Cauchy-Euler ODE.




where

and

.
To verify that these solutions are linearly independent, check the Wronskian:

and so the solutions are indeed independent.