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kari74 [83]
3 years ago
15

Differentiate: y=152+26−37 dy/dx= answer

Mathematics
1 answer:
ozzi3 years ago
8 0

Answer:

\frac{dy}{dx} y=0

General Formulas and Concepts:

<u>Calculus</u>

  • The derivative of a constant is equal to 0

Step-by-step explanation:

<u>Step 1: Define function</u>

y = 152 + 26 - 37

<u>Step 2: Simplify</u>

<em>Combine like terms</em>

y = 141

<u>Step 3: Find derivative</u>

<em>Derivative of any constant will be 0.</em>

<em />\frac{dy}{dx} y=0<em />

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Answer:

0.26 minutes

Step-by-step explanation:

So if you want to solve this, you need to make all the units the same first. What you first need to work on is the rate, since what it is asking is minutes given distance in feet.

We know that there are:

5280 ft in a mile

60 minutes in an hour

We then convert the rate knowing this:

\dfrac{174\:miles}{4\:hours}\times\dfrac{5280ft}{1\:mile}\times\dfrac{1hour}{60\:minutes} = \dfrac{918,720ft}{240\:minutes} = \dfrac{3828\:feet}{1 minute}

In short, the car is traveling 3,828 ft every minute.

To determine how many minutes it will take for the car to travel just remember that:

speed=\dfrac{distance\:travelled}{time}\;\rightarrow\;time=\dfrac{distance\;travelled}{speed}

Now we plug in what we know and solve what we don't know:

time=\dfrac{1000feet}{\dfrac{3828ft}{1minute}}\;\rightarrow\;1000ft\times\dfrac{1\:minute}{3828ft}=0.26\:minutes

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Step-by-step explanation:

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Step-by-step explanation:

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