Hey there!
6n^2 - 15
= 6(5)^2 - 15
= 6(5^2) - 15
= 6(5 * 5) - 15
= 6(25) - 15
= 150 - 15
= 135
Therefore, your answer is: 135
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
Attachment!
Step-by-step explanation:
The derivative, f'(x) = 6x^2+1, is never negative, so f(x) is monotonic, hence invertible.
f'(-2) = 6(-2)²+1 = 25
If point (-2, -26) is on the graph of function f(x), and the slope is 25 there, then (-26, -2) is on the graph of f⁻¹(x), and the slope is 1/25 there. The equation of the tangent line throught that point can be written in point-slope form as
... y +2 = (1/25)(x +26)
Due to the circular shape, one complete rotation of the flag is equal to the circumference of a circle with radius 12 ft.
Then, use the following formula for the cirumference:
C = 2π·r
where r is the radius. In this case, r = 12 ft and π = 3.14. Replace the previous values into the formula for C:
C = 2(3.14)(12 ft)
C = 75.36 ft
Hence, the flag has to travel 75.36 ft to complete a full rotation
Answer:
X = 78, Z = 29, and Y = 102
Step-by-step explanation:
X = 78. 43 + 59 = 102. There has to be 180 degrees in a triangle. So subtract 180 by 102.
Z = 29. Think of the whole triangle for this one. 43 + 49 + 59 = 151. 180 - 151 = 29.
Y = 102. Plug in the value of Z. 49 + 29 = 78. 180 - 78 = 102.
Hope that helps!
