Step-by-step explanation:
cot x + 2 tan x + tan³ x
Write in terms of sine and cosine:
(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)
Find the common denominator:
(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))
Add:
(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)
Factor:
(sin² x + cos² x)² / (sin x cos³ x)
Pythagorean identity:
1 / (sin x cos³ x)
Multiply top and bottom by cos x:
cos x / (sin x cos⁴ x)
Simplify:
cot x sec⁴ x
Answer: 6-pack.
Step-by-step explanation:
assuming there’s no tax, the 6-pack would offer the best price per roll.
for 12 rolls w/ the 6 pack it’d be 10.80 which divided by 12 is .9(0)a roll. Where as the 12 for 11 is roughly .91 . So the 6-pack is a better offer.
Answer: graph E.
A geometric sequence can be written as:
where:
a₁ = first term = 4
r = ratio = 0.5
Substituting the numbers, we have:
or else
This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).
In order to choose between graph B and E, let's evaluate the function in two different points:
Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.
Answer:
this is the formula for a volume of a sphere
4
/3*π*r^3 so plug in the radius
4/3*3.14*3^3=
4/3=1.33333333
1.333*3.14=4.186666562
4.186666562*3^3=113
the volume of the sphere is 113
Step-by-step explanation:
