2 years ago

Write a definition of rounding in your own words

Mathematics

1 answer:

Sergio039 [100]2 years ago

4 0

Adding or subtracting to make the original number the closest 10, 100, etc.

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The variable z is inversely proportional to x. When x is 16, z has the value 0.875. What is the value of z when x= 21?

ziro4ka [17]

For $z$ and $x$ to be inversely proportional, there must be some constant $k$ such that

$zx=k$

Given that $z=0.875$ when $x=16$ , it follows that

$0.875\cdot16=k\implies k=14$

Then when $x=21$ , we have

$21z=14\implies z=\dfrac{14}{21}=\approx0.667$

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3 years ago

Solve the expresssion x − 5 = 17

CaHeK987 [17]

Answer: x = 22

Step-by-step explanation:

We must isolate the x by itself.

We need to add 5 to both sides of the equation so it cancel out from the side with x.

So x = 22

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2 years ago

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maxonik [38]

Answer:

1920

Step-by-step explanation:

The volume of the rectangle is 1920.

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2 years ago

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Find the second derivative of 2x^3-3y^2=8

Umnica [9.8K]

Answer:

$\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}$

Step-by-step explanation:

Find the first implicit derivative using implicit differentiation

$2x^3-3y^2=8\\\\6x^2-6y\frac{dy}{dx}=0\\ \\-6y\frac{dy}{dx}=-6x^2\\ \\\frac{dy}{dx}=\frac{x^2}{y}$

Use the substitution of dy/dx to find the second derivative (d²y/dx²)

$\frac{d^2y}{dx^2}=\frac{(y)(2x)-(x^2)(\frac{dy}{dx})}{y^2}\\ \\\frac{d^2y}{dx^2}=\frac{2xy-(x^2)(\frac{x^2}{y})}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{2xy-\frac{x^4}{y}}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}$

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2 years ago

A car travels 1/6 of the distance between two cities in 3/5 of an hour. At this rate, what fraction of the distance between the

CaHeK987 [17]

6 if you divide it out

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3 years ago