Standard form of an exponential function is y=ab^x
when x=0, y=3, 3=ab^0, so you can figure out that a=3
when x=-1, y=6, 6=3b^(-1), b^(-1)=2, b=1/2
so the equation is y=3(1/2)^x
If the figure is an isosceles trapezoid, then both slanted sides have the same length. 2x+2=4. That gives you 'x', and the line on top is double-x.
Angles 6 and 8 add up to equal 180, so 2x - 5 + x + 5 = 180. 3x = 180 so x = 60. Angle 3 is alternate interior to angle 6 which is 2(60) - 5 = 115, so angle 3 is also 115
This is the concept of calculus:
dV/dt*dh/dV=dh/dt
Volume of the cone is given by:
V=(1/3)πr^2h=1/3*π*3^2*h=3π
dV/dh=3*π=3π
dh/dV=1/(3π)
dV/dt=100 m^2/sec
thus;
dh/dt=1/(3π)*100
=33 1/3 m/s
Answer:
Step-by-step explanation:
In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives a (assuming a≠0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 is also undefined; when it is the form of a limit, it is an indeterminate form