Answer:
13.63 miles per hour
Step-by-step explanation:
100 yards / 15 sec converted to miles per hour
<u>100 yards</u> x <u> 60 sec</u> x <u> 60 min</u> x <u> 1 mile </u> = 13.63 miles/hr
15 sec 1 min 1 hr 1760 yards
the mistake on Mrs Dukes is the conversion from miles to yards.
1 mile = 1760 yards NOT 5280 yards
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We will use the property :
sum of interior angles on same side of transversal =180
(8x-14) + (2x+54)=180
10x+40=180
10x=140
x=14
Multiplying both sides by
gives

so that substituting
and hence
gives the linear ODE,

Now multiply both sides by
to get

so that the left side condenses into the derivative of a product.
![\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Bx%5E3v%5D%3D3x%5E2)
Integrate both sides, then solve for
, then for
:




![\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D%5Csqrt%5B3%5D%7B1%2B%5Cdfrac%20C%7Bx%5E3%7D%7D%7D)
The formula for f(x) in y + 6 = 5(x - 4) in terms of x is f(x) = 5(x - 4) - 6