First sequence is Arithmetic because the common difference is 4.
Second sequence is Geometric because it is multiplied by -2 each time.
Hope this helps :)
Length of PS= 3.99 units
Length of QS=2.08 units
Area of triangle PQR=14.12units²
When Fiona rolled Cube #2, she got a number -2 as she got 2 while rolling Cube #1 and the sum of the value on the cubes was 0.
As we know Cube #1 has integers 1, 2, 3, 4, 5, 6 on its faces and Cube #2 has -1, -2, -3, -4, -5, -6 on its faces.
It is also given that Fiona got 2 when she rolled cube #1 and the value of the sum on both the cubes is 0.
So it is clear that on Cube #2, the number must be -2 as in that case only, the sum of the values will be 0.
To prove
2 + (-1) = 1
2 + (-2) = 0
2 + (-3) = -1
Hence, the number she got on Cube #2 is -2.
To learn more about number here
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Considering the graph of the cube root parent function, it is found that the correct statement is given by:
D. It is always increasing.
<h3>When a function is increasing?</h3>
A function is increasing when the vertical axis of the graph gets higher as we move the horizontal axis from left to right.
In this problem, the above statement is true for the entire function, hence option D is correct.
More can be learned about functions at brainly.com/question/25537936
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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
