Answer:
the answer is c 4 hours because it's 75 per hour
This is just simple. For example you have a plane of the form x=a, then you just substitute x with a, and you'll get an equation with y and z only, hence you have a 2-d trace of the intersection. It is just similar for y=b and z=c.
(1) At z=1.5, 2x^2 + 5y^2 + 1.5^2 = 4
2x^2 + 5y^2 = 1.75
Now you have an ellipse in the z=1.5 plane as your trace.
(2) At x=1, 2(1)^2 + 5y^2 + z^2 = 4
5y^2 + z^2 = 2
Now you have an ellipse in the x=1 plane as your trace.
(3) At z=0, 2x^2 + 5y^2 + (0)^2 = 4
2x^2 + 5y^2 = 4
Now you have an ellipse in the z=0 plane as your trace.
(4) At y=0, 2x^2 + 5(0)^2 + z^2 = 4
2x^2 + z^2 = 4
Now you have an ellipse in the y=0 plane as your trace.
Answer:
(f • g)(x) = log (-x + 1)
Step-by-step explanation:
Here is a composite function
What we simply have to do here is to make a substitution
the substitution we are going to make is that we will substitute the value of x in f(x) with the entirety of g(x)
This simply mean that we replace every x we find in f(x) with the entire equation of g(x)
we have this as;
f(g(x)) = log (-x + 1)
I found the picture of the bowl.
AB is the diameter of the sphere.
So the radius is 20in / 2 = 10 in
And the volume of water is half the volume of the sphere.
=> V of water = (1/2)* (4/3) π (r^3)
Also, this problems asks to use 22/7 as approximation of π.
=> V of water = (1/2) (4/3) (22/7) (10in)^3 = 2,095 in^3
Answer: (1/2)(4/3)(22/7)(10in)^3 = 2,095 in^3
Answer:
4000
Step-by-step explanation:
500x8=4000