12x+1+5x-3=117
(combine like terms)
17x-2=117
(subtract 2 from each side)
17x=115
(divide each side by 17)
x=6.7
Answer:
a. Ratio of their circumference = 2:3
b. The ratio of their surface areas = 2:3
c. The ratio of their volume = 4:9
Step-by-step explanation:
Let the cylinders be labelled as A and B respectively.
Diameter of cylinder A = 6 in,
its radius =
=
= 3 in
Diameter of cylinder B = 9 in,
its radius =
=
= 4.5 in
Thus,
a. circumference of a circle = 2
r
Circumference of cylinder A = 2
r
= 2 x
x 3
= 6
in
Circumference of cylinder B = 2
r
= 2 x
x 4.5
= 9
Ratio of their circumference = 
= 
= 2:3
b. The surface area of a cylinder = 2
rh
the surface area of cylinder A = 2
rh
= 6
h
the surface area of cylinder B = 2
rh
= 9
h
The ratio of their surface areas = 
= 
= 2:3
c. Volume of a cylinder = 
h
volume of cylinder A = 
h
=
x
x h
= 9
h
volume of cylinder b = 
h
=
x
x h
= 20.25
h
The ratio of their volume = 
= 
= 4:9
Answer:
The limit does not exist
Step-by-step explanation
For this question you have to look at the function and see what y value does it approach as it gets closer and closer to x =2, from the left side it looks like it approaces 4 and from the left side it looks like it's approaching 1, since the limits from the left and right sides are not the same, the limit does not exist
Answer:
Step-by-step explanation:
The 2 in 2.6 is in the ones place so we know that it equals 200. The 6 in 2.6 is in the tenths place so we know that it equals 60. Add 200 with 60 to get 260/10. The denominator is 10 because 2.6 only extends to the tenths place.
Answer:
1509
Step-by-step explanation:
We know that, formula for number of samples is,

When nothing is given, we take
and we know that
.
SE = 0.03 (the true proportion should remain withing 3%)
Putting the values we get,


Therefore, the sample required to estimate the true proportion to within 3 percentage points is 1509.