Answer:
30/42 = 10/14 = 5/7
Step-by-step explanation:
Answer:
<h2>C) (negative 1, one-half), (0, 1), (1, 2), (2, 4)</h2>
Step-by-step explanation:
The set C could be generated by an exponential function. The main reason is that exponential functions hava a restricted range, it can't have negative numbers or the number zero, because power can only be equal or greater than 1.
Additionally, for all exponentials, a null exponent gives 1 as an answer, so point (0, 1) is always present in an exponential function.
Therefore, the right answer is C.
Answer:
V = 1206.3 
Step-by-step explanation:
This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.
Volume of a cylinder = area (of the base) x height
Substitute in the formula for the area of a circle.
V(cylinder) = 
x h
Substitute in the values for the radius (8) and height (4)
V(cylinder) = x 
x 4
Evaluate using a calculator
V(cylinder) = 804.2477
To the nearest tenth, V(cylinder) = 804.2
Volume of a cone = 
. This is the area of the circular part of the cone (
), multiplied by the height from the point to the base, all divided by 3.
Substitute in the values for the radius of the circle (8) and the height (6)
V(cone) = 
(On the top it's x x 6)
Evaluate using a calculator
V(cone) = 402.1239
To the nearest tenth, V(cone) = 402.1
Total volume = V(cylinder) + V(cone)
= 804.2 + 402.1
= 1206.3
Answer:
The maximum error is approximately Ev=24%
Step-by-step explanation:
the volume of the cylinder V is
V= π/4*H*D²
where H= height and D= diameter
the variation of V will be
dV = (∂V/∂H)*dH + (∂V/∂D)*dD
dV = π/4*D²*dH +π/2*H*D*dD
if we divide by the volume V
dV /V = (π/4*D²*dH +π/2*H*D*dD )/( π/4*H*D²) = dH/H + 2*dD/D
dV /V = dH/H + 2*dD/D
then we can approximate
error in V= Ev= ΔV/V ≈ dV/V
error in H= Eh=ΔH/H ≈ dH/H
error in D= Ed=ΔD/D ≈ dD/D
thus
Ev= Eh + 2*Ed
since Ed=Eh=E=8%
Ev= Eh + 2*Ed =3*E=3*8%=24%
Ev= 24%
therefore the maximum error is approximately Ev=24%
The answer is B. 2(4) + 3(24) = 80
1(4) + 4(24) = 100
