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Sholpan [36]
2 years ago
5

Simplify (i^24)^

align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Ann [662]2 years ago
3 0

value of above expression is 1

solution in attachment !

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45 points for first most detailed / accurate answer:
Bas_tet [7]
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
7 0
2 years ago
Rewrite using powers of ten 32,000,000
mamaluj [8]
32×10×10×10×10×10×10
5 0
3 years ago
Read 2 more answers
Jamal is planting seeds for a garden nursery.He plants 9 seeds in each container.If Jamal has 296 seeds to plant , about how man
ludmilkaskok [199]
He will use 33 containers because 9 goes into 296 32.8 times but you cant have .8 of a container so you round it up to 33
8 0
3 years ago
The scientist creates an equation that models her data for each tree so that she can predict the diameter in the future. Complet
otez555 [7]

Answer:

y = 0.3X + 18.3

Step-by-step explanation:

Given that data :

x = year ;

y = trunk diameter, in inches

Year ________trunk diameter

1 __ 18.6

3 __ 19.2

5 __ 19.8

7 __ 20.4

9 ___21.0

11 __ 21.6

13 __ 22.2

Using the linear regression calculator :

The linear equation obtained is :

y = 0.3X + 18.3

Where ;

Slope = 0.3 ; intercept, c = 18.3

8 0
3 years ago
Write an equation in point-slope form for the line through the given point with the given slope.
Thepotemich [5.8K]

Answer: A

Step-by-step explanation:

3 0
3 years ago
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