Answer:
$18.28
Step-by-step explanation:
Step one:
given data
Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag
let the total money be x
so mathematically
x-1/8*x= 16
solve for x
x-x/8= 16
8x-x/8= 16
7x/8=16
cross multiply
7x= 8*16
7x=128
divide both sides by 7
x=128/7
x=$18.28
Compute the derivative dy/dx using the power, product, and chain rules. Given
x³ + y³ = 11xy
differentiate both sides with respect to x to get
3x² + 3y² dy/dx = 11y + 11x dy/dx
Solve for dy/dx :
(3y² - 11x) dy/dx = 11y - 3x²
dy/dx = (11y - 3x²)/(3y² - 11x)
The tangent line to the curve is horizontal when the slope dy/dx = 0; this happens when
11y - 3x² = 0
or
y = 3/11 x²
(provided that 3y² - 11x ≠ 0)
Substitute y into into the original equation:
x³ + (3/11 x²)³ = 11x (3/11 x²)
x³ + (3/11)³ x⁶ = 3x³
(3/11)³ x⁶ - 2x³ = 0
x³ ((3/11)³ x³ - 2) = 0
One (actually three) of the solutions is x = 0, which corresponds to the origin (0,0). This leaves us with
(3/11)³ x³ - 2 = 0
(3/11 x)³ - 2 = 0
(3/11 x)³ = 2
3/11 x = ³√2
x = (11•³√2)/3
Solving for y gives
y = 3/11 x²
y = 3/11 ((11•³√2)/3)²
y = (11•³√4)/3
So the only other point where the tangent line is horizontal is ((11•³√2)/3, (11•³√4)/3).
Answer:
Step-by-step explanation:
He missed 20 shots
Write 25% as 25100.
25100 of 80 = 25100 × 80.
Therefore, the answer is 20.
Answer:
Step-by-step explanation:
p(even) = 3/6
p number 3 = 1/6
p (even then number 3) = 3/6 * 1/6 = 3/36
For this case we have the following equation:
Density = mass / volume
If the volume is the same, then the object with the greatest weight will be the one with the highest density.
You must know the type of way to know the value of the density.
Answer:
The weight of the blocks will depend on the density if the volume is the same.
