The pool already has 30 in it so you would initially be adding it, not multiplying it to anything. Then since every second 5 gallons of water is being added to the pool, you add the 30 gallons the pool already contains to 5W.

3 0

3 years ago

Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 116 meters

Naily [24]

Answer:

Length = 29 m

Width = 29 m

Step-by-step explanation:

Let x and y be the length and width of the rectangle, respectively.

The area and perimeter are given by:

$A=xy\\p=116=2x+2y\\y=58-x$

Rewriting the area as a function of x:

$A(x) = x(58-x)\\A(x) = 58x-x^2$

The value of x for which the derivate of the area function is zero, is the length that maximizes the area:

$A(x) = 58x-x^2\\\frac{dA}{dx}=0=58-2x\\ x=29\ m$

The value of y is:

$y = 58-29\\y=29\ m$

Length = 29 m

Width = 29 m

4 0

3 years ago

The function n(d)=4⋅3d−1 represents the number of people who receive a newspaper on day d of a delivery schedule.

Aleks04 [339]

The answer is 'The number of people receiving a paper on a given day is 3 times what it was the previous day.'

3 0

3 years ago

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