Please help me!!!!!!!!!!

Mathematics

1 answer:

Alex3 years ago

5 0

The answer is C. 20.3 miles per hour.

In order to solve this, we have to first convert our time into hours. We start with 11 seconds, but need to convert to hours. Since there are 3600 seconds in an hour, we need to divide by that unit rate.

11 seconds/3600 = .00305 hours

Now we need to convert our meters into miles. The problem lets us know that there are 1609 meters in a mile, so we need to divide the 100 meters by 1609.

100 meters/1609 = .0621 miles.

Now to find miles per hour, we divide the miles we got by the hours.

.00305 miles/ .0621 miles = 20.3 miles per hour.

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Further mathematics: Find the derivative of the function x^2 y + (xy)^3 +3x=0 at (-1 , 3)

vesna_86 [32]

Answer:

Step-by-step explanation:

Implicit differentiation:

x^2 y + (xy)^3 + 3x = 0

x^2 y + x^3y^3 + 3x = 0

Using the product rule:

2x* y + x^2*dy/dx + 3x^2 y^3 + x^3* (d(y^3)/dx) + 3 = 0

2xy + x^2 dy/dx + 3x^2 y^3 + x^3* 3y^2 dy/dx + 3 = 0

dy/dx(x^2 + 3y^2x^3) = (-2xy - 3x^2y^3 - 3)

dy/dx= (-2xy - 3x^2y^3 - 3) / (x^2 + 3y^2x^3)

At the point (-1, 3).

the derivative = (6 - 81 - 3)/(1 -27)

= -78/-26

= 3.

8 0

2 years ago

Read 2 more answers

1 Javier has at most $15.00 to spend today. He buys a bag of pretzels and a bottle of juice for $2.59. If gasoline at this store

Art [367]

Answer:

Javier can buy at maximum about 3.7 gallons of oil.

Step-by-step explanation:

Let g represent the amount of gasoline in galloons.

We know that Javier has at most $15.00 to spend. In other words, the total cost after buying the snacks and gasoline must be less than or equal to 15.

He already bought a snack and a drink for a total of $2.59.

And each gallon of gasoline costs $3.39.

So, we can write the following inequality:

$2.59+3.39g\leq 15.00$