Answer:
36 objects
Step-by-step explanation:
You want the value of x when t=9, so you're solving ...
9 = 0.007x^2 +0.003x
9 = 0.007(x^2 + 3/7x)
From here, we observe that an approximation is probably sufficient.
9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2
x ≈ 3/√.007 ≈ 35.9 ≈ 36
We can check:
.007(36)(36 3/7) = 9.18
.007(35)(35 3/7) = 8.68
To keep the computer busy for 9 seconds, it needs to sort 36 objects.
1) By the inscribed angle theorem, 
2) By the inscribed angle theorem, arc RT measures twice 63 degrees, or 126 degrees.
A^2+b^2=c^2
(2sqrt3)^2+b^2=16
12+b^2=16
solve for b
b=2
Now triangle area is A=1/2 bh
so
A=(1/2)(2)(2sqrt3)
A=2sqrt3
9514 1404 393
Answer:
(-1, -2)
Step-by-step explanation:
The difference between the coordinates of the image and the coordinates of the original is the same for both points.
X - (0, 2) = (5, 2) -(6, 6)
X = (5, 2) -(6, 6) +(0, 2) = (5-6+0, 2-6+2)
X = (-1, -2)
The image of the point after translation is (-1, -2).