72, 96, 84, 12
72 + (7x+24) = 180
7x + 96 = 180
7x = 84
x = 12
The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta). The reciprocal tan function is cotan
Cotx=1\tanx
First find the secant line. The slope of the secant line through
(when
) and
(when
) is the average rate of change of
over the interval
![[-1,2]](https://tex.z-dn.net/?f=%5B-1%2C2%5D)
:
The tangent line to
will have a slope determined by the derivative:
Both the secant and tangent will have the same slope when
, or when
.
Answer:
$203.04
Step-by-step explanation:
First, you have to calculate the cost of sending one free sample and you could use a rule of three to find it:
23 onces → $0.36
69 onces → x
x=(69 onces*$0.36)/23 onces= $1.08
Then, you can multiply the cost of sending one free sample for the quantity of samples Instant Meals wants to mail out:
$1.08*188= $203.04
According to this, the answer is that Instant Meals would spend $203.04 on postage to mail out one hundred eighty-eight samples.
2+3i
------ should be multiplied (numerator and denominator both) by 2+i. This will
2-i remove i from the denominator.
(2+3i) 2+i 4 + 2i + 6i - 3 1 + 8i
-------- * ----------- = ---------------------- = ---------- (answer)
2-i 2+i 4+(-1) 8
You could also write this as (1/8) + i.
