Answer:
Step-by-step explanation:
Let 
, we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:
(1)
(2)
Now we perform the operations: 
(3)
By the quadratic formula, we find the following solutions:
and 
Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:
By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:
Then, the values of the cosine associated with that angle is:
Now, we have that 
, we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:
(4)
(5)
If we know that and , then the value of the function is:
Answer:
$96
Step-by-step explanation:
Given that,
The total number of tickets = 4
Cost of each baseball = $24
We need to find the equation that shows the closest estimate of the total amount Amanda spends.
Total cost = No. of tickets × Cost of each baseball
= 4×24
= $96
Hence, the total cost is $96.
<span>a) f(n) is the number of students in your calculus class whose birthday is on the nth day of the year.
f(n) is not invertible because several different days, n, may have the same number of students, f(n). Then for one specific f(n) you cannot determine a unique n.
b) f(x) is the volume in litters of x kilograms of water at 4 degrees celsius.?
f(x) is invertible because each x gives a different f(x), then you can determine unambiguously which f(x) corresponds to each x.
</span>
Probability of flipping either a head or a tail = 1/2
probability of flipping 6 tails in a row (1/2)*6
<span>probability of flipping at least 1 head = 1 - (1/2)*6 = 63/64 </span>
