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VMariaS [17]
3 years ago
6

Write the equation of the circle with radius 2 and center (2,-3)

Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0

Answer:

(x-2)^{2} + (y+3)^{2} = 4

Step-by-step explanation:

Formula

Centre (a,b) \\Radius r(x-a)^{2} + (y-b)^{2} = r^{2}\\\\Centre (2, -3) \\Radius 2(x-(2))^{2} + (y-(-3))^{2} = 2^{2}\\(x-2)^{2} + (y+3)^{2} = 4

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The function p(x) = - 2(x-9)2 + 100 is used to determines the profit on T-shirts sold for x dollars. What would the profit from
dolphi86 [110]

ANSWER

$28

EXPLANATION

The profit function is given as:

p(x) =  - 2 {(x - 9)}^{2}  + 100

where x is the price of the T-shirt in dollars.

To find the profit on a T-shirt whose price is $15, we substitute x=15 into the function and simplify.

p(15) =  - 2 {(15 - 9)}^{2}  + 100

We simplify to get:

p(15) =  - 2 {(6)}^{2}  + 100

p(15) =  -72+ 100

p(15) =  28

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3 years ago
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In a popular tale of wizards and witches, a group of them finds themselves in a room with unmarked doors which change position,
SSSSS [86.1K]

Answer:

Expected number of hours before the the group exits the building = E[Number of hours] = 3.2 hours

Step-by-step explanation:

Expected value, E(X) is given as

E(X) = Σ xᵢpᵢ

xᵢ = each variable

pᵢ = probability of each variable

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2 | 3.5 | 0.1

3 | 5.0 | 0.2

4 | 2.5 | 0.5

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Hope this Helps!!!

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