sin^2 x + 4 sinx +3 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
factor the numerator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
cos^2 = 1-sin^2x
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
1- sin^2x 1 - sinx
factor the denominator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
(1-sinx ) (1+sinx) 1 - sinx
cancel the common term (1+sinx) and (sinx +1)
(sinx +3) 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
reorder the first term
3+sinx 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
Your answer is $29.13 I hope this helped, I apologize for the late response!
Answer:
Step-by-step explanation:
The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.
Write a function that gives the lion population size,
Each year, the population drops to 95% of its previous value. (100 - 5)%
That is, the population is multiplied by 0.95 each year.
Repeated multiplication is signified by an exponent.
Here, that exponent is the number of years from today (t).
<h3>There fore, The population function can be written as ...</h3><h3 /><h3> P(t) = 200·0.95^t</h3><h3>
</h3>
Answer:
90
Step-by-step explanation:
Quarters , q = 25 cent
Nickel, n = 5 cent
3 times as many nickels as quarters;
n = 3q
Total value of coins = $12
n + q = $12
0.05n + 0.25q = 12
0.05(3q) + 0.25q = 12
0.15q + 0.25q = 12
0.40q = 12
q = 12 / 0.40
q = 30
n = 3q
n = 3(30)
n = 90
90 nickels
S = Sally's age
J = Jim's age
S = 2 + 3j Plug in 4 for j
S = 2 + 3(4) Multiply
S = 2 + 12 Add
S = 14
Sally is 14 years old.
