Answer:
(a) \frac{-1i}{2}-1[/tex]
(b) 
(c) i
Step-by-step explanation:
We have to perform division
(a) 
So after division

(b) We have given expression 
After rationalizing 
(c) We have given expression 
After rationalizing

Answer:
17
Step-by-step explanation:
Given

Finding the second term of the sequence means to find
To find
substitute
into the second expression:
Answer:
5 inches
Step-by-step explanation:
The formula to find the surface area of a cylinder is A = 2πrh + 2πr²
Since we need the height we will need to solve for h
- First we can subtract 2πr² from both sides to get A - 2πr² = 2πrh
- Then we can divide both sides by 2πr to get
Now we can plug in our known values and solve for h
- Here we were given the diameter, d, however this formula is in terms of the radius, r.
- The diameter is equivalent to double the radius, d = 2r
- Therefore the radius is equivalent to half the diameter,
- Plugging in d to solve for r we get
which simplifies to r = 1
The two variables for this equation we have no obtained, A = 12π and r = 1, so we can plug them into our equation to solve for the height
- The height is 5 inches
Answer:
Todd originally had 64 games; Jaylon had eight.
Step-by-step explanation:
If Todd has 56 games now, after having given eight games to Jaylon, Todd must have started with 64 games.
Let x = Jaylon's original games.
If Todd has <em>250 % more games</em> than Jaylon, he has <em>3.5 times as many </em>games as Jaylon.
Let x = Jaylon's original number of games. Then
x+ 8 = Jaylon's games now
∴ 56 = 3.5(x+8)
Distribute the 3.5 56 = 3.5x +28
Subtract 26 from each side 3.5x = 26
Divide each side by 3.5 x = 8
Jaylon originally had eight video games.
Check:
64 - 8 = 3.5(8 + 8)
56 = 3.5 × 16
56 = 56
First convert 18000 grams into kilograms by dividing by 1000;

=18kg
Thus 18000 grams is greater than 10 kilograms