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2 years ago

Please try and answer this ASAP ! Which point lies on the circle represented by the equation (x − 3)2 + (y + 4)2 = 62?

Mathematics

2 answers:

Alex787 [66]2 years ago

5 0

Answer:

(3,-4)

Step-by-step explanation:

Illusion [34]2 years ago

4 0

Answer:

(-3,-4)

Step-by-step explanation:

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A toy store owner estimates that by charging x dollars each for a certain toy, he can sell 40−x toys each week. The quadratic eq

djyliett [7]

Answer:x=20

Step-by-step explanation:

Given

selling Price of Toy is x dollars

he can sell 40-x toys each week

Thus Revenue Generated from selling 40-x toys at x dollar can be given by

$R=-x^2+40x$

To get maximum Revenue differentiate R with respect to x and equate it to 0

therefore $\frac{\mathrm{d} R}{\mathrm{d} x}=-2x+40$

$-2x+40=0$

$x=20$

thus for maximum Revenue owner sells 20 toys each week

Max Revenue $R=-(20)^2+40\times 20=-400+800=$ 400$

3 0

2 years ago

6. You are given a sheet of cardboard that is 8.0 in. x 11.0 in. How many full circles with a diameter of 3.0 inches can you cut

larisa86 [58]

In order to answer this, it would be useful to calculate the area of the cardboard and the circles. We do as follows:

Total area of cardboard = <span> 8.0 in. x 11.0 in = 88 in^2

Area of one circle = pi(r^2) = pi(0.5)^2 = 0.7854 in^2

Number of full circles = 88 / 0.7854 = 112.0451

Therefore, there will be 112 number of full circles. The percentage of waste is equal to:

% waste = (88 - 0.7854(112) / 88) x 100= 0.04%</span>

4 0

3 years ago