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4 years ago

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The fastest a human has ever run is 27 miles per hour how many miles per minute did the human run

1 answer:

faust18 [17]4 years ago

3 0

I believe it is 0.45 miles per minute.

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3√x -2/x^2<br><br>please show step by step of differentiation before combining the terms.

EastWind [94]

Answer:

Step-by-step explanation:

Before we differentiate, let us assign a variable to the function. Let y be equal to the function i.e let y = 3√x -2/x²

In differentiation if $y = ax^{n}$ , then $\frac{dy}{dx} = nax^{n-1}$ where n is a constant and dy/dx means we are differentiating the function y with respect to x.

Applying the formula o the question given;

$y= 3\sqrt{x} -2/x^2\\y = 3{x}^\frac{1}{2} - 2x^{-2} \\\\$

On differentiating the resulting function;

$\frac{dy}{dx} = \frac{1}{2}*3x^{\frac{1}{2}-1 } - (-2)x^{-2-1} \\\\\frac{dy}{dx} = \frac{1}{2}*3x^{-\frac{1}{2}} + 2x^{-3}\\ \\\frac{dy}{dx} = \frac{1}{2}*{\frac{3}{x^{\frac{1}{2} } }} + \frac{2}{x^{3} } \\\\\frac{dy}{dx} = {\frac{3}{2x^{\frac{1}{2} } }} + \frac{2}{x^{3} }\\\\\frac{dy}{dx} = {\frac{3}{2\sqrt{x} }} + \frac{2}{x^{3} }$

To combine the terms, we will add up by finding their LCM.

$\frac{dy}{dx} = {\frac{3}{2\sqrt{x} }} + \frac{2}{x^{3} }\\\frac{dy}{dx} = \frac{3x^3+4\sqrt{x} }{2x^{3} \sqrt{x}}$

3 0

4 years ago

Is the world hiding submarines in the ocean?

snow_lady [41]

Answer:

possibly china, but not confirmed.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Determine whether the parallelogram is a rhombus, rectangle, square, or none. Explain.

lara31 [8.8K]

Answer:

Step-by-step explanation:

The diagonals of the given parallelogram are QS and RT. We would first determine if its diagonals are congruent.

QS = √(1 - 5)² + (3 - 3)² = 16

RT = √(3 - 3)² + (4 - 2)² = 4

Since QS ≠ RT, it means that they are not congruent and this means that the parallelogram is not a rectangle.

Let us check if the diagonals are perpendicular.

Slope of QS = (3 - 3)/(5 - 1) = 0/4

Slope of RT = (2 - 4)/(3 - 3) = - 2/0

The slopes are not opposite reciprocals. It means that the diagonals are not perpendicular. Therefore, the correct option is

D. QRST is none of these because its diagonals are neither congruent nor perpendicular.

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4 years ago

Where did the negative go? 8th grade math

Ierofanga [76]

Answer:

Since the equation is to the power of 4, the negative sign to the power of 4 will give a positive sign.

5 0

3 years ago

What is 470,925.8 in expanded form

ICE Princess25 [194]

470,925.8 in expanded form is ...

400,000 + 70,000 + 900 + 20 + 5 + 0.8

Hope this helps

Brainliest is always appreciated

Give me a thanks

3 0

3 years ago

Read 2 more answers