Answer:
1184000
Step-by-step explanation:
lcm(2960,6400,2000)
prime factor:

Take the largest power of each factor:

Partial derivative is derivative over only 1 variable.
here we have 2 variables so it depends on which variable you want to make partial derivative.
case 1.
df/dx = -3y
case 2
df/dy = 5y^4 - 3x
<h2>
Answer:</h2>
The number of pages he will read in one minute is:

<h2>
Step-by-step explanation:</h2>
It is given that:
Charlie reads
in every
.
We know that:

This means that:
Charlie reads
in every
.
This means that:



Hence,

Hence,


VERTEXTo determine the vertex (coordinate x) of parabola y = ax² + bx + c, use this following formula
x vertex =

y = x² - 2x - 48
a = 1, b = -2, c = -48
plug in the numbers
x vertex =

x vertex =

x vertex =

x vertex = 1
To find y vertex, substitute the value of x vertex to the parabola equation
y = x² - 2x - 48
y = 1² - 2(1) - 48
y = 1 - 2 - 48
y = -49
The vertex is (1, -49)X-INTERCEPTx-intercept located in x axis, that means y = 0. Substitute y = 0 to the parabola equation
x² - 2x - 48 = y
x² - 2x - 48 = 0
(x - 8)(x + 6) = 0
x = 8 or x = -6
The x-intercepts are (8,0) and (-6,0)The answer is first option
Answer:
6 units by 6 units
Step-by-step explanation:
The quadrilateral with the smallest perimeter for a given area is the square.
The square with area 36 square units has side lengths of √36 = 6 units.