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eduard
3 years ago
7

Find the volume of the right cone.

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

384π cm³ ( first one in list )

Calculate the volume (V) of the cone using the formula

V = \frac{1}{3} πr²h ( r is the radius and h the height )

here r = 12 and h = 8

V = \frac{1}{3} × 12² × 8 = 384π cm³ ← exact value



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Amir stands on a balcony and throws a ball to his dog who is at ground level. The ball's height, in meters above the ground, aft
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Answer:

Time t = 2 seconds

It will reach the maximum height after 2 seconds

Completed question;

Amir stands on a balcony and throws a ball to his dog who is at ground level. The ball's height, in meters above the ground, after t seconds that Amir has thrown the ball is given by:

H (t) = -(t-2)^2+9

many seconds after being thrown will the ball reach its maximum height?

Step-by-step explanation:

The equation of the height!

h(t) = -(t-2)^2 + 9 = -(t^2 -4t +4) + 9

h(t) = -t^2 +4t -4+9

h(t) = -t^2 + 4t +5

The maximum height is at dh/dt = 0

dh/dt = -2t +4 = 0

2t = 4

t = 4/2 = 2

Time t = 2 seconds

It will reach the maximum height after 2 seconds

8 0
3 years ago
Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day. The
faltersainse [42]

Answer:

30units,2900

Step-by-step explanation:

Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.

The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.

If x units are produced and sold we have

Costs for x units = variable costs *x +Fixed costs = 400x+1600

Sales revenue = no of units sold * price = x(700-5x) = 700x-5x^2

Profit funciton = P(x) = Sales revenue - Total cost

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To get maximum profit we use derivative test I derivative =0 and II derivative =negative

P'(x) = 300-10x\\p"(x) = -10

Producing 30 units will maximize the profit.

Max profit

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3 years ago
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3 0
2 years ago
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Svetllana [295]

There is a 1 in 15 chance it could occur. The more numbers you add, the rarer the chance. This does not guarantee that it will occur in 15 tests.

4 0
3 years ago
lemont has 30 books to pack the boxes each box holds 7 books if he fills each box how many boxes are left over
mariarad [96]

Answer:

2 books

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If 7 books= 1 box

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Therefore books left over= 2 books

6 0
3 years ago
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