What is 6811.09 round to ten

A rocket is divided into three sections. The top section is one sixth the length of the bottom section . The middle section is o

Anastaziya [24]

Answer:

18 feet long.

Step-by-step explanation:

Let the bottom section be x feet long, then:

x/6 + x/2 + x = 180

Multiply through by 6:

x + 3x + 6x = 1080

10x = 1080

x = 108 feet,

So the top section = 108/6

= 18 feet long.

7 0

4 years ago

Derivative of <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

What is the solution to the inequality -3x - 42 > 3

rosijanka [135]

Answer:

I don’t know which answer choice it is since C and D are the same but the answer is supposed to be x < -15.

Step-by-step explanation:

the image has the work shown

5 0

3 years ago

What are the coordinates of the vertices of the triangle under the translation (x, y) --> (x + 3, y + 2)?

Afina-wow [57]

The coordinates of the vertices of the triangle :
(-1,1), (-4,1). (-4, 4)

the translation (x, y) --> (x + 3, y + 2), the new coordinates of the vertices of the triangle will be:
(2, 3), (-1, 3), (-1, 6)

Answer:
D. (2, 3), (-1, 3), (-1, 6)

7 0

3 years ago

Read 2 more answers

Evaluate the expression 3(7 + 4)^2 − 14 ÷ 7

postnew [5]

Use PEMDAS.
1. multiply the 7 and the 4 by 3
2. square the 12 to get 144
3.multiply 144 by -14
4. divide -2016 by 7
5.subtract 288 from 21 (if you subtract 21 from 288 you get 267 so put +- in front for both answers :) )

5 0

3 years ago