Answer:
Step-by-step explanation:
12/4=3 and 16/8=2
Answer:
x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)
Step-by-step explanation:
Solve for x:
-8 + x^2 + (x^2 - 8)^2 = 20
Expand out terms of the left hand side:
x^4 - 15 x^2 + 56 = 20
Subtract 20 from both sides:
x^4 - 15 x^2 + 36 = 0
Substitute y = x^2:
y^2 - 15 y + 36 = 0
The left hand side factors into a product with two terms:
(y - 12) (y - 3) = 0
Split into two equations:
y - 12 = 0 or y - 3 = 0
Add 12 to both sides:
y = 12 or y - 3 = 0
Substitute back for y = x^2:
x^2 = 12 or y - 3 = 0
Take the square root of both sides:
x = 2 sqrt(3) or x = -2 sqrt(3) or y - 3 = 0
Add 3 to both sides:
x = 2 sqrt(3) or x = -2 sqrt(3) or y = 3
Substitute back for y = x^2:
x = 2 sqrt(3) or x = -2 sqrt(3) or x^2 = 3
Take the square root of both sides:
Answer: x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)
Answer:
Step-by-step explanation:
The formula for volume of a cylinder is
V = πr²h where r is the radius and h is the height.
We are given r = 5 and h = 2.5, plug those values in and simplify...
V = π(5²)(2.5)
V = π(25)(2.5)
V = 62.5π
Answer:
Step-by-step explanation:
Hi there! I can help you with these! For these types of questions, all you have to do is that if there is a markup, multiply by one hundred something to get the new price, because you're including the original price and the markup. For example, if there is a 75% markup on something, you multiply by 175% (1.75). Or, if there is a markdown, basically multiply by the remaining percentage. For example, if the markdown is 35%, you multiply the original price by 65% (0.65), because that is the amount of the price that it's on sale for. With that being said, if you do this correctly, here are the answers:
1. $54
2. $2.25
3. $90
Hopefully if you're talking about the markup or markdown from these prices, those are your answers.
