12 miles - 132 minutes
1 mile - 132/12 = 11 minutes
66 miles = 11 x 66 = 726 minutes.
Hence your requires answer is 726 minutes.
Hope This Helps You!
Money spent by Americans last year=$1,180-6.8% of $1,180
=$1099.76
The answer is c. Peer pressure and tension.
Answer:
Take a look at the 'proof' below
Step-by-step explanation:
The questions asks us to determine the anti-derivative of the function f(x) = 4x^3
sec^2
x^4. Let's start by converting this function into integral form. That would be the following:
![\mathrm{\int \:4x^3sec^2x^4dx}](https://tex.z-dn.net/?f=%5Cmathrm%7B%5Cint%20%5C%3A4x%5E3sec%5E2x%5E4dx%7D)
Now all we have to do is solve the integral. Let's substitute 'u = x^4' into the equation 'du/dx = 4x^3.' We will receive dx = 1/4x^3
du. If we simplify a bit further:
![\mathrm{\int \:\:sec^2\left(u\right)du}](https://tex.z-dn.net/?f=%5Cmathrm%7B%5Cint%20%5C%3A%5C%3Asec%5E2%5Cleft%28u%5Cright%29du%7D)
Our hint tells us that d/dx
tan(x) = sec^2(x). Similarly in this case our integral boils down to tan(u). If we undo the substitution, we will receive the expression tan(x^4). Therefore you are right, the first option is an anti-derivative of the function f(x) = 4x^3
sec^2
x^4.
Perimeter (P) = 2L + 2w
68 = 2L + 2w
68 - 2L = 2w
2(34 - L) = 2(w)
34 - L = w
********************
Area (A) = L * w
240 = L (34 - L)
240 = 34L - L²
L² - 34L + 240 = 0
(L - 10)(L - 24) = 0
L = 10 or L = 24
w = 34 - L = 34 - 10 = 24 or w = 34 - 24 = 10
Answer: width = 10, length = 24 assuming length is bigger than the width