Answer:
572,421
Step-by-step explanation:
<h3>
Answer: ds/dt = 11</h3>
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Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
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Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
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Side note: The information t = 40 is never used. It's just extra info.
Work:
624 divided by 12 equals 52
answer:
52 dozens
Answer:
since 3x^2-7x+4=0 is in the form ax^2+bx+c=0, a=3, b=-7, c=4
So 45% OF 40 is
45% * 40
0.45 * 40
that is 18
18 is 18% of what number?
18 = 18% * x
18 = 0.18 * x
divide both sides by 0.18
100 = x
45 % of 40, which is 18, and is 18% of 100.
Hope this helps