Answer:
t = 640
Step-by-step explanation:
tickets are directly proportional to number of hours.
t =kh
we find K.
240 = 3k
we divide by 3 in both sides.
k = 80
we substitute K to find how many tickets.
t =80 × 8
t = 640
it doesn't matter if you chose any two, e.g., you would get the same answer even if you used 5 and 400, or 9 and 720
Answer:
The answer to your question is Circumference = 81.64 ft
Step-by-step explanation:
Data
Area of a circle = 530.66 ft²
Circumference = ?
π = 3.14
Process
1.- Calculate the radius of the circle
Area = πr²
-Solve for r²
r² = Area / π
-Substitution
r² = 530.66 / 3.14
-Simplification
r² = 169
-result
r = 13 ft
2.- Calculate the Circumference
Circumference = 2πr
-Substitution
Circumference = 2(3.14)(13)
-Result
Circumference = 81.64 ft
For
between
and
, we have
is continuous over its domain, so the intermediate value theorem tells us that

is true for
.
For all
, we take into account that
is
-periodic, so the above inequality can be expanded to

where
is any integer. Equivalently,

To get the corresponding solution set for

simply replace
with
:


2 ab squared + -5 ab squared = 2-5 = -3 ab squared.
Therefore -6 ab squared + x must be -3 ab squared so x is 3 ab squared