Answer:
D. 9:1
Step-by-step explanation:
The formula for the volume of a cylinder is πr² · h (pi · radius² · height) (use 3.14 for pi).
The two right circular cylinders have the same height. The larger cylinder has a radius that is three times the size of the smaller radius.
4 · 3 = 12
However, in the equation for volume, the radius is squared. Because of this, the larger cylinder is 9 times the size of the smaller cylinder because 3² = 9.
You can check your work by finding the volume of the two cylinders using the volume formula πr² · h:
3.14 · 4² · 5 = 251.2
3.14 · 12² · 5 = 2,260.8
The cylinder with a radius of 12 cm is 9 times the size of the cylinder with a radius of 4 cm.
2.260.8 ÷ 9 = 251.2
Answer:
be my frienddd broo
Step-by-step explanation:
Answer:
1.) 1 1/3 or 4/3
2.) 6
3.) 8
Step-by-step explanation:
Function composition substitutes more than just values or constants. It substitutes functions inside another function. Solve each expression by starting inner most and working to outermost.
1.) f(g(0)) = 1 1/3
Let g(x)=3x+2 and f(x)= x-2/3.
Begin with g(0) = 3(0) + 2 = 2.
Substitute x = 2 into f(x).
f(2) = (2) - 2/3 = 1 1/3
2.) g(f(2)) = 6
Let g(x)=3x+2 and f(x)= x-2/3.
Begin with f(2) = 2 - 2/3 = 1 1/3.
Substitute x = 1 1/3 into g(x).
g(1 1/3) = 3( 1 1/3) + 2 = 3(4/3) + 2 = 4 + 2 = 6
3.) g(g((0))
Let g(x)=3x+2.
Begin with g(0) = 3(0) + 2 = 2.
Substitute x = 2 into g(x).
g(2) = 3(2) + 2 = 8
For the seagull to catch the crab, h(t)=g(t) so:
-16t^2+45=-13t+23 add 16t^2 to both sides
45=16t^2-13t+23 subtract 45 from both sides
16t^2-13t-22=0 using the quadratic equation:
t=(13±√1577)/32, since t>0
t=(13+√1577)/32 seconds
t≈1.65 seconds (to nearest hundredth of a second)
And the height that this occurs using either original equation is:
h((13+√1577)/32)≈1.59 ft (to nearest hundredth of a foot)
