Answer:
The constant of proportionality gives you the price per unit at each store.
Step-by-step explanation:
If you assume that the price (y) is directly proportional to the amount (x) you get, the formula is
y = kx
where k is the constant of proportionality.
k = y/x
k has the units of cost per unit, for example, dollars per ounce.
The fewer the dollars per ounce, the better the deal you are getting.
If store A offers apple sauce at $1.29 for 25 oz and Store B offers apple sauce at $2.89 for 50 oz, which is the better deal?
At store A, k = $1.29/25 oz = $0.052/oz or 5.2¢/oz
At store B, k = $2.89/50 oz = $0.058/oz or 5.8¢/oz
The apple sauce is cheaper at Store A.
Answer:
D) 425 mi/ 1 h
Step-by-step explanation:
Divide 2550 with 6
You get 425 mi per hour
![\dfrac{3x^2+1}{2x}=\dfrac{3x}2+\dfrac1{2x}](https://tex.z-dn.net/?f=%5Cdfrac%7B3x%5E2%2B1%7D%7B2x%7D%3D%5Cdfrac%7B3x%7D2%2B%5Cdfrac1%7B2x%7D)
Integrating this gives
![\dfrac{3x^2}4+\dfrac12\ln|x|+C](https://tex.z-dn.net/?f=%5Cdfrac%7B3x%5E2%7D4%2B%5Cdfrac12%5Cln%7Cx%7C%2BC)
so the enthusiast's antiderivative is incorrect.
Without integrating, you can show the enthusiast's solution is incorrect by taking the derivative:
![\dfrac{\mathrm d}{\mathrm dx}\left(\dfrac{x^3+x}{x^2}+C\right)=\dfrac{\mathrm d}{\mathrm dx}\left(x+\dfrac1x\right)=1-\dfrac1{x^2}=\dfrac{x^2-1}{x^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%28%5Cdfrac%7Bx%5E3%2Bx%7D%7Bx%5E2%7D%2BC%5Cright%29%3D%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%28x%2B%5Cdfrac1x%5Cright%29%3D1-%5Cdfrac1%7Bx%5E2%7D%3D%5Cdfrac%7Bx%5E2-1%7D%7Bx%5E2%7D)
but this is not the same as the original integrand.
Answer:31.42
Step-by-step explanation:
Answer:
Take Action: Take Time to Plan. ...
Take a Break: Get Out of the Office. ...
Take Action: Talk it Out with a Colleague. ...
Take a Break: Get a Full Night's Sleep. ...
Take Action: Work on the Weekends.