Ask question

Ask question

All categories

3 years ago

10

a sleeping bag weighs 8 pounds. your backpack and sleeping bag together weigh 31 pounds. write an equation to determine whether

the backpack without the sleeping weighs 25 or 23 ponds.

1 answer:

Luda [366]3 years ago

8 0

31-8=23 pounds for the backpack.

You might be interested in

The equation giving a family of ellipsoids is u = (x^2)/(a^2) + (y^2)/(b^2) + (z^2)/(c^2) . Find the unit vector normal to each

Fynjy0 [20]

Answer:

$\hat{n}\ =\ \ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}$

Step-by-step explanation:

Given equation of ellipsoids,

$u\ =\ \dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}+\dfrac{z^2}{c^2}$

The vector normal to the given equation of ellipsoid will be given by

$\vec{n}\ =\textrm{gradient of u}$

$=\bigtriangledown u$

$=\ (\dfrac{\partial{}}{\partial{x}}\hat{i}+ \dfrac{\partial{}}{\partial{y}}\hat{j}+ \dfrac{\partial{}}{\partial{z}}\hat{k})(\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}+\dfrac{z^2}{c^2})$

$=\ \dfrac{\partial{(\dfrac{x^2}{a^2})}}{\partial{x}}\hat{i}+\dfrac{\partial{(\dfrac{y^2}{b^2})}}{\partial{y}}\hat{j}+\dfrac{\partial{(\dfrac{z^2}{c^2})}}{\partial{z}}\hat{k}$

$=\ \dfrac{2x}{a^2}\hat{i}+\ \dfrac{2y}{b^2}\hat{j}+\ \dfrac{2z}{c^2}\hat{k}$

Hence, the unit normal vector can be given by,

$\hat{n}\ =\ \dfrac{\vec{n}}{\left|\vec{n}\right|}$

$=\ \dfrac{\dfrac{2x}{a^2}\hat{i}+\ \dfrac{2y}{b^2}\hat{j}+\ \dfrac{2z}{c^2}\hat{k}}{\sqrt{(\dfrac{2x}{a^2})^2+(\dfrac{2y}{b^2})^2+(\dfrac{2z}{c^2})^2}}$

$=\ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}$

Hence, the unit vector normal to each point of the given ellipsoid surface is

$\hat{n}\ =\ \ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}$

3 0

3 years ago

Can someone help me please

AfilCa [17]

18 are comedies

27 are action adventures

<em><u>27 is the answer</u></em>

3 0

3 years ago

A. $20,950.75<br><br> B.$28,458.50<br><br> C.$31,045.50<br><br> D.$34,650.75

quester [9]

Answer:

C) 31,045.50

Step-by-step explanation:

<em>p*</em>855= amount of money made from sold products

You must subtract the amount of money spent from the amount of money made from sold products.

213750-6780=206970

To find the amount that the CEO of the company owned, you must multiply the number by 15% or 0.15:

206970*0.15= $31045.50

Therefor, the CEO made $31,045.50 that month.

4 0

2 years ago

Solve for x. help meh im doing a quiz

xenn [34]

Answer:

x=7.2cm.........................

7 0

2 years ago

Which best describes the required locus? all points in a plane equidistant from two given points in the plane.

zavuch27 [327]

Answer:

C.

Step-by-step explanation:

The line that is a perpendicular bisector of the segment connecting the two points.

6 0

3 years ago

Read 2 more answers