The point r(-6,-5) lies on the circle.
Explanation
Given that the center of the circle=(-2,-2)
diameter=10 units
we have to determine which point among the given points lies on the circle.
radius=diameter/2=10/2=5 units
let (x,y) be a point on the circle
The distance between the center and (x,y) is equal to the radius of the circle
The distance between them=
squaring both sides 
The option (-6,-5) satisfies the equation
therefore the point that lies on the circle is (-6,-5)
New Workshop: 4,134,232,638,937
Old Workshop: 22,912,546,992
New/Old = 180.435
The new workshop can produce approximately 180 times as many toys as the old workshop.
The given scenario above is like a geometric sequence with r or common ratio being 1.05 and the first term being 31 square meters. The nth term of the sequence is calculated through the equation,
A15 = (A1)(r)^(n - 1)
Substituting,
A15 = (31)(1.05)^(15 - 1) = 61.3778 square meter
Therefore, the area covered by the spill after the 15th day is approximately 61.4 square meters.
S(p) = 400 - 4p + 0.00002p^4
D(p) = 2800 - 0.0012p^3
S(p) = D(p)
400 - 4p + 0.00002p^4 = 2800 - 0.0012p^3
0.00002p^4 + 0.0012p^3 - 4p - 2400 = 0
p = $96.24
Answer:
The percent decrease in the number of cheese sticks you can buy for $1 is 80%.
Step-by-step explanation:
Given : Cheese sticks that were previously priced at "10 for $1" are now "2 for $1".
To find : The percent decrease in the number of cheese sticks you can buy for $1 ?
Solution :
The formula used to find percent decrease is given by,

The price change from 10 to 2,



The percent decrease in the number of cheese sticks you can buy for $1 is 80%.