Volume of a cone = <span>πr^2(h/3)
r=6
h=27
v = </span><span>π(6^2)27/3
v = </span><span>π (36)(9)
v=</span><span>π324 in. cubed
or
v=1,017.36 in. cubed </span>
First solve the return in each
price per unit
Return = number units sold x price
per unit
Return1 = 5000 units x Php 900
Return1 = php 4,500,000
Next is solve the other price per
unit
Return2 = number units sold x
price per unit
Return2 = (5000 + 1500 units0 x (
php 900 – 100)
Return2 = php 5,200,000
So the php 800 per unit will have
greater return
Answer:
Option 'B' is correct.
Step-by-step explanation:
Since we have given that
Number of lemons used is denoted by 'y'.
Number of glasses of lemonade is denoted by 'x'.
As we can observe that ,

so we can write i as

By cross multiplication
<em>y=4x</em>
So, if write it in the form y=kx,
It will be y=4x.
Answer:
y"(2, 1) = -5
Step-by-step explanation:
Step 1: Define implicit differentiation
5 - y² = x²
Step 2: Find dy/dx
- Take implicit differentiation: -2yy' = 2x
- Isolate y': y' = 2x/-2y
- Isolate y': y' = -x/y
Step 3: Find d²y/dx²
- Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
- Substitute y': y" = [-y - (-x/y)(-x)] / y²
- Simplify: y" = [-y - x²/y] / y²
- Multiply top/bottom by y: y" = (-y² - x²) / y³
- Factor negative: y" = -(y² + x²) / y³
Step 4: Substitute and Evaluate
y"(2, 1) = -(1² + 2²) / 1³
y"(2, 1) = -(1 + 4) / 1
y"(2, 1) = -5/1
y"(2, 1) = -5