Answer:
The domain is all real numbers.
The function is always decreasing
Step-by-step explanation:
Assuming the given function is

for

Then f(x) is an exponential decay function.
This means that, the domain will be all real numbers.
The range will be y<0
The y-intercept is (0,-1)
There is no x-intercept.
The graph is a decreasing function.
Area of the rectangular mat = 12 x 4 = 48 in²
Area of the 3 circles = 3( πr²) = 3(3.14 x 2²) = 37.68 in²
P(landing in a circle) = 37.68/48 = 157/200 = 0.79 (nearest hundredth)
Answer: The probability of landing in one of the circles is 0.79.
1 1/2 as an improper fraction is 3/2
3/2x3/2=9/4
9/4 is 2.25 so 2.25 yards
(-2-2i)(-4+6i)
=8-12i+8i-12i^2
=8-4i-12i^2
=4(2-i-3i^2)
=4((i-1)(3i+2))
=4(i-1)(3i+2)
1) Because
is a central angle,
.
Since
and
are supplementary, they form a linear pair, and thus 
5) Tangents drawn from an external common point are congruent, so CR=CP=8 and RB=BQ=4. This means that QA=11, and so PA=11 as well. Adding CP+PA, we get AC=19.
6) By the inscribed angle theorem, angle QPR measures 36 degrees.