Answer:
Step-by-step explanation:
a)/Let x represent the amount of money earned by the World Issues club for all their fundraising activities this year.
Let y represent the revenue generated for the foundation.
b) The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation. Therefore, an equation that will determine the amount of money the foundation will receive is
60/100 × x = y
0.6x = y
Answer:1.965517241
Step-by-step explanation:
Answer:
17. 6
18. 18 (as shown)
19. 10/3 = 3 1/3
20. 20/3 = 6 2/3
Step-by-step explanation:
17. For this, you can subtract the given length GB=12 from the length you found for problem 18, BF=18. Doing that tells you FG = 18-12 = 6, as you have marked on the diagram.
19. As with median BF, the point G divides it into two parts that have the ratio 1:2. The distance from G to D is the shorter of the distances, so you have ...
... GD = (1/3) CD = (1/3)·10 = 10/3
... GD = 3 1/3
20. You can subtract GD from CD to get CG, or you can multiply CD by 2/3. The result is the same either way.
... CG = CD -GD = 10 -3 1/3
... CG = 6 2/3
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<em>Comment on centroid and median</em>
The centroid (G) divides each median into parts in the ratio 1:2. Hence the shorter of those parts is half the length of the longer one, or 1/3 the total length of the median.
The longer of the parts is double the length of the shorter one, or 2/3 the total length of the median.
Your marking of median BF seems to show an understanding of these relationships. (Total length: 18; length of parts: 6 and 12.)
Answer:
5/36
Step-by-step explanation:
Probability is the outcome that a event will occur
Probability = Expected outcome/Total outcome
Since two sided dice are rolled, the total outcome will be expressed as;
Total outcome = 36
Since we are to find the probability that the sum is 8, the values that gives a sum of 8a re;
(2,6)(6,2), (5, 3), (3,5), (4, 4)
The expected outcome = 5
Probability = 5/36
Hence the probability that the sum is 8 is 5/36
Logarithmic differentiation means tAke logarithm of both sides to make the function easier to find the derivative.
y = (sinx)^lnx
ln(y) = ln((sinx)^lnx)
power rule logarithm
ln(y) = ln(x) ln(sinx)
Take derivative
y'/y = ln(sinx)(1/x) + ln(x) cosx/sinx
multiply both sides by y
y' = y( ln(sinx)/x + ln(x)cotx )
remember y = (sinx)^lnx
sub this in for y
y' = (ln(sinx)/x + ln(x)cotx)(sinx)^lnx
