Answer:
THERE Fake Toes!!!!
Step-by-step explanation:
Never criticize someone until you have walked a mile in their shoes.
That way, when you criticize them, you’ll be a mile away, and you’ll have their shoes.
How do you were shoes without Toes?
<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.
Rewrite the fractions to have a common denominator:
1/3 = 2/6
1/2 = 3/6
Now rewrite the full numbers as improper fraction:
5 2/6 = 32/6
1 3/6 = 9/6
Subtract:
32/6 - 9/6 = 23/6
Now rewrite as 3 5/6
Answer: 3 5/6
Second, fourth and fifth.
2^4 = 2*2*2*2 =16
4^2= 4*4 =16
16^1= 16=16