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Brrunno [24]
3 years ago
14

The mass of the part of a metal rod that lies between its left end and a point x meters to the right is 3x^2 kg. Find the linear

density when is 1 m, Where is the density the highest? The lowest?
Mathematics
1 answer:
Sav [38]3 years ago
4 0

Answer:

6 kg/m

Step-by-step explanation:

mass m = 3x^2.

rho ρ= dm/dx =6x

ρ(1) =6 Kg/m

linear density is the derivative of mass (m)  with respect to position(x)

that is how fast is the mass changing at that position.

You might be interested in
Sale price of a $23.91 item that is 1/3 off?
IceJOKER [234]

Answer: $15.94

Step-by-step explanation:

You divide 23.91 by three, then subtract  using the previous answer which was 7.97. 7.97 was 1/3 of 23.91. When subtracted you get, 15.94.

8 0
3 years ago
A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed w
evablogger [386]

The water in the cylinder will be 1179π in³. Thus, 2nd answer choice is correct.

<h3>What is the volume of a right circular cylinder?</h3>

Suppose that the radius of the considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

V = \pi r^2 h \: \rm unit^3

A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water.

A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is filled with water.

We have to find the volume of the empty cylinder and then the volume of the ball.

Subtract the latter from the former.

The volume of the cylinder = πr^2h.  

= π(9 in)²(15 in)

= 1215π in³

Volume of the ball =  (4/3)π(3 in)³

                                = 36π in³

Subtracting

= 1215π in³ - 36π in³

= 1179π in³  

Thus, 2nd answer choice is correct.

Learn more about the volume of cylinder here:

brainly.com/question/12763699

#SPJ1

7 0
2 years ago
–8(x – 4) - (12x – 8)
nlexa [21]

Answer:

-20x+128

Step-by-step explanation:

–8(x – 4) - (12x – 8)

distribute: -8x+32-12x+96

combine like terms

-20x+128

5 0
3 years ago
Select all the options that have the same value as 3 1/2 % of 20.
elena55 [62]
There are only three answers to this question. Answer-A, D,E
8 0
3 years ago
Slope of (0,1) and (3,0)
Marysya12 [62]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{  \frac{ - 1}{3}}}}}}

Step-by-step explanation:

Let the points be A and B

Let A ( 0 , 1 ) be ( x₁ , y₁ ) and B ( 3 , 0 ) be ( x₂ , y₂ )

<u>Finding</u><u> </u><u>the </u><u>slope</u><u> </u><u>of</u><u> </u><u>the </u><u>points</u>

\boxed{ \sf{slope =  \frac{y2 - y1}{x2 - x1} }}

\longrightarrow{ \sf{slope =  \frac{0 - 1}{ 3 - 0}}}

\longrightarrow{ \sf{slope =  \frac{ - 1}{3}}}

Hope I helped!

Best regards! :D

5 0
4 years ago
Read 2 more answers
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