Taking the derivative of 7 times secant of x^3:
We take out 7 as a constant focus on secant (x^3)
To take the derivative, we use the chain rule, taking the derivative of the inside, bringing it out, and then the derivative of the original function. For example:
The derivative of x^3 is 3x^2, and the derivative of secant is tan(x) and sec(x).
Knowing this: secant (x^3) becomes tan(x^3) * sec(x^3) * 3x^2. We transform tan(x^3) into sin(x^3)/cos(x^3) since tan(x) = sin(x)/cos(x). Then secant(x^3) becomes 1/cos(x^3) since the secant is the reciprocal of the cosine.
We then multiply everything together to simplify:
sin(x^3) * 3x^2/ cos(x^3) * cos(x^3) becomes
3x^2 * sin(x^3)/(cos(x^3))^2
and multiplying the constant 7 from the beginning:
7 * 3x^2 = 21x^2, so...
our derivative is 21x^2 * sin(x^3)/(cos(x^3))^2
Answer:
There is an 8.22% probability that a randomly selected person has a birthday in November.
Step-by-step explanation:
The theoretical method to find the probability is the division of the number of desired outcomes by the number of total outcomes.
A randomly selected person has a birthday in November
There are 365 days in a year, so the number of total outcomes is 365.
There are 30 days in november, so the number of desired outcomes is 30.
So the probability is
There is an 8.22% probability that a randomly selected person has a birthday in November.
Answer:
I think $21 or $7.88
Step-by-step explanation:
check it again and there you go
Answer:
the x intercept would mean the number of days and y would mean the amount theyre making
Step-by-step explanation:
Answer:
George doesn't have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs
Step-by-step explanation:
From the above question:
George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money.
Look at the numerical expression George used: 15 −( 9 + 2.65 + 1.35 + 2(1.74) )
Use the order of operations to simplify this expression.
Using the order of operations we have:
=$ 15 - (9 + 2.65 + 1.35 + 2(1.74) )
= $15 -( 9 + 2.65 + 1.35 + 3.48 )
=$ 15 - (16.48)
= $-1.48
George doesn't have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs
