1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luda [366]
2 years ago
14

The linear density of a rod of length 4 m is given by (x) = 2/sqrt(x), in grams per centimeter, where x is measured in centimete

rs from one end of the rod. Find the mass of the rod.
Mathematics
1 answer:
lyudmila [28]2 years ago
5 0

The density of a substance is the ratio of its mass and its volume. The mass of the rod is 10,666.67 grams or 10.67 kgs.

<h3>What is the density of a substance?</h3>

The density of a substance is the ratio of its mass and its volume. Therefore we can write,

d = \dfrac{m}{v}

mass of substance = m kg

density of substance = d kg/m³

volume of that substance = v m³

The length of the rod is 4 meters, therefore, the length of the rod in centimeters will be 400 centimeters. Thus, The mass in terms of density can be written as,

m = \int_0^4(2\sqrt x)dx\\\\

     = [2\cdot \dfrac{2x^{\frac32}}{3}]_0^{400}\\\\= [\dfrac{4x^{\frac32}}{3}]_0^{400}\\\\=[\dfrac{4(400)^{\frac32}}{3}]-[\dfrac{4(0)^{\frac32}}{3}]\\\\= 10,666.\bar6\rm\ grams

Hence, the mass of the rod is 10,666.67 grams or 10.67 kgs.

Learn more about Density:

brainly.com/question/952755

#SPJ1

You might be interested in
A parallelogram has sides of length 30 centimeters and 18 centimeters. One of its angles measure 58 degrees. Which is the best e
Elanso [62]

Answer:

D

Step-by-step explanation:

I'm assuming you're looking for area here.

The formula is b * h = A

So all you're doing is multiplying 30 by 18 to get 540.

3 0
3 years ago
What is the mean of the data set? {21, 23, 25, 25, 26, 28, 28, 28, 31, 33} 26.8 27 27.8 28
Lerok [7]
In mathematics, mean average means to take the sum of all the numbers and divide the sum by the number of elements in the set.

Add up the numbers.

<span>21 + 23 + 25 + 25 + 26 + 28 + 28 + 28 + 31 + 33 = 268

Divide by the number of elements in the set. Which is 10.

268 / 10 = 26.8

So, the answer to this question is 26.8</span>
8 0
3 years ago
Read 2 more answers
A triangular prism has a base area or 20 square feet and a height of 4 feet find the volume
ipn [44]

Answer:

Easy multiply twenty times four you'll get your answer

8 0
3 years ago
The concession stand at a ballpark makes $0.43 profit from each hot dog sold. It also makes a profit of $0.65 from each pretzel
kaheart [24]
0.43h + 0.65p + 1.31d = c

explanation:
h stands for hotdogs, p for pretzels, and d for drinks. c represents the total cost. 
each price next to the variable describes the profit per item.

hope this helps! :D
4 0
3 years ago
Read 2 more answers
Solve for b.
MakcuM [25]
Fortnite rctcyvlxcgtcyy
8 0
3 years ago
Read 2 more answers
Other questions:
  • Differentiate: f(x) = 3x ln(6x) − 3x
    7·1 answer
  • Describe the end behavior of the following function: f(x)=7x^2-3x^2-6
    12·1 answer
  • There are (10^8)^2 ⋅ 10^0 candies in a store. What is the total number of candies in the store?
    11·1 answer
  • Point G is thr incenter of the triangle. what is the value of x?<br>a.4<br>b.<br>c.24<br>d.32
    10·1 answer
  • One side of the triangle is 4 cm, and the sum of the other two sides is equal to a
    13·2 answers
  • Irene makes 4 2\3 cups of pancake batter. She splits the batter into 2 bowls. She mixes blueberries into 2 1\4 cups of batter an
    12·2 answers
  • 5y-14=2y-2 solve for y and show work plz
    12·2 answers
  • -7/33 x (-11/7) PLEASE ANSWER ASAP &gt;_
    7·2 answers
  • Math help please i don’t know how to do this
    5·1 answer
  • 318.8 - 94.63 answer and how to do it
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!