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Genrish500 [490]

3 years ago

6

Write each ratio as a fraction in simplest form. 5. 48 : 76 6. 20 inches to 4 feet

1 answer:

Delicious77 [7]3 years ago

3 0

Answer:

48:76 would be 48/76 which would reduce to 12/19.

20:4 would be 5/1 reduced or just 5.

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Which of the given expressions results in 0 when evaluated at x = 5?

galben [10]

Answer:

B

Step-by-step explanation:

Look for an expression with (x - 5 ) as this will give zero when x = 5, that is

x - 5 = 5 - 5 = 0

The only expression with a factor of (x - 5 ) is B

7 0

3 years ago

What is the surface area for the figure? PLEASE HELP

olga_2 [115]

Answer:

516 cm squared

Step-by-step explanation:

To find the surface area of a rectangular prism such as this, is basically just like finding the OUTSIDE surfaces. We are looking for the "perimeter" of a 3D shape.

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Calculate each face of the prism by multiplying Length x Width.
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2(4 · 15) + 2(10 · 15) + 2(12 · 4)

6 0

3 years ago

Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2

Anastaziya [24]

Answer:

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

Step-by-step explanation:

we would like to figure out the derivative of the following:

$\displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

to do so, let,

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

By simplifying we acquire:

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

use law of exponent which yields:

$\displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} }$

take derivative in both sides:

$\displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )$

use sum derivation rule which yields:

$\rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

By constant derivation we acquire:

$\rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

use exponent rule of derivation which yields:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )$

simplify exponent:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )$

two negatives make positive so,

$\displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3}$

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

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

simplify addition:

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

and we are done!

5 0

3 years ago

3a) What is the side length of the following square?*

skelet666 [1.2K]

YhgfdrAnswer:

Step-by-step explanation:

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4 years ago

Read 2 more answers

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume o

Kryger [21]

The his makes no sense to me sorry just trying to get points 250 millimeters is the volume 1350

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3 years ago