Answer:
0.4 kmffffffffffffffffffffffffffffffffff
The <em><u>correct answer</u></em> is:
A) as the x-values go to positive infinity, the functions values go to negative infinity.
Explanation:
We can see in the graph that the right hand portion continues downward to negative infinity. The right hand side of the graph is "as x approaches positive infinity," since x continues to grow larger and larger. This means as x approaches positive infinity, the value of the function approaches negative infinity.
Answer:
The correct answer is 0 or A
Step-by-step explanation:
2/0+2 + 1/5 = 6/0+5
2/2 + 1/5 = 6/5
1 + 1/5 = 6/5
5/5 + 1/5 = 6/5
6/5 = 6/5
Answer:
Dh/dt = 0.082 ft/min
Step-by-step explanation:
As a perpendicular cross section of the trough is in the shape of an isosceles triangle the trough has a circular cone shape wit base of 1 feet and height h = 2 feet.
The volume of a circular cone is:
V(c) = 1/3 * π*r²*h
Then differentiating on both sides of the equation we get:
DV(c)/dt = 1/3* π*r² * Dh/dt (1)
We know that DV(c) / dt is 1 ft³ / 5 min or 1/5 ft³/min
and we are were asked how fast is the water rising when the water is 1/2 foot deep. We need to know what is the value of r at that moment
By proportion we know
r/h ( at the top of the cone 0,5/ 2) is equal to r/0.5 when water is 1/2 foot deep
Then r/h = 0,5/2 = r/0.5
r = (0,5)*( 0.5) / 2 ⇒ r = 0,125 ft
Then in equation (1) we got
(1/5) / 1/3* π*r² = Dh/dt
Dh/dt = 1/ 5*0.01635
Dh/dt = 0.082 ft/min
Answer:
120 degrees
Step-by-step explanation:
interior angle of regular polygon = [ ( n − 2 ) × 180 ] / n
n = number of sides
hence, in b), n = 6
interior angle of regular polygon = [ ( 6 − 2 ) × 180 ] / 6 = 120