A.) Since there are no restrictions as to the dimensions of the candle except that their volumes must equal 1 cubic foot and that each must be a cylinder, we have the freedom to decide the candles' dimensions.
I decided to have the candles equal in volume. So, 1 cubic foot divided by 8 gives us 0.125 cubic foot, 216 in cubic inches.
With each candle having a volume of 216 cubic inches, I assign a radius to each: 0.5 in, 1.0 in, 1.5 in, 2.0 in, 2.5 in, 3.0 in, 3.5 in, and 4.0 in. Then, using the formula of the volume of a cylinder, which is:
V=pi(r^2)(h)
we then solve the corresponding height per candle. Let us let the value of pi be 3.14.
Hence, we will have the following heights (expressed to the nearest hundredths) for each of the radius: for
r=2.5 in: h=11.01 in
r=3.0 in: h= 7.64 in
r=3.5 in: h= 5.62 in
r=4.0 in: h= 4.30 in
r=4.5 in: h= 3.40 in
r=5.0 in: h= 2.75 in
r=5.5 in: h= 2.27 in
r=6.0 in: h= 1.91 in
b. each candle should sell for $15.00 each
($20+$100)/8=$15.00
c. yes, because the candles are priced according to the volume of wax used to make them, which in this case, is just the same for all sizes
Eccentricity = foci / half the length of the major axis
= 3.5 / 14 = 1/4
With this problem, subtract 7 from both sides to get
17< y
So any number that is greater than 17 is a value that would make it true....19, 24, 35, 100, 39,1028
Answer:
6, 12, 24, 48, 96, 192
Step-by-step explanation:
The first term a1 = 6 and the common ratio is 2.
So it is 6, 6*2, 6*2^2 ....
First we have to isolate the varible
-2/5x-2=18
+2 +2
-2/5x=20
then divide both sides by -2/5 to get x completely by itself
-2/5x=20
------- ---
-2/5 -2/5
x=-50
i hope i've helped!
