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
zloy xaker [14]
2 years ago
13

Simplify the expression.

Mathematics
1 answer:
LenKa [72]2 years ago
8 0

\huge\boxed{4x}

Start by simplifying the power.

(5x)^3=5^3x^3=125x^3

\dfrac{500x^4}{125x^3}

Cancel out the common factor of 125.

\dfrac{4x^4}{x^3}

Finally, cancel out the common factor of x^3.

\boxed{4x}

You might be interested in
Which of the following pairs of lines are not parallel?
goldfiish [28.3K]

Answer: Not sure

Step-by-step explanation: A is wrong because they are parallel in one is on the top to the right and 1 is on the bottom. sorry thats all i know :(

7 0
2 years ago
A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and
nasty-shy [4]

Answer:

correct option is C)  2.8

Step-by-step explanation:

given data

string vibrates form =  8 loops

in water loop formed =  10 loops

solution

we consider  mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = \rho

case (1)  

when 8 loop form with 2 adjacent node is \frac{\lambda }{2}

so here

l = \frac{8 \lambda _1}{2}      ..............1

l = 4 \lambda_1\\\\\lambda_1 = \frac{l}{4}

and we know velocity is express as

velocity = frequency × wavelength   .....................2

\sqrt{\frac{Tension}{mass\ per\ unit \length }}   =   f × \lambda_1

here tension = mg

so

\sqrt{\frac{mg}{\mu}}   =   f × \lambda_1     ..........................3

and

case (2)  

when 8 loop form with 2 adjacent node is \frac{\lambda }{2}

l = \frac{10 \lambda _1}{2}      ..............4

l = 5 \lambda_1\\\\\lambda_1 = \frac{l}{5}

when block is immersed

equilibrium  eq will be

Tenion + force of buoyancy = mg

T + v × \rho × g = mg

and

T = v × \rho - v × \rho × g    

from equation 2

f × \lambda_2 = f  × \frac{1}{5}  

\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}     .......................5

now we divide eq 5 by the eq 3

\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}

solve irt we get

1 - \frac{\rho _{stone}}{\rho _{water}}  = \frac{16}{25}

so

relative density \frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}

relative density = 2.78 ≈ 2.8

so correct option is C)  2.8

3 0
4 years ago
Which decimal number is equal to 4/9?
Ratling [72]
4\9=.444444444
answer=choice D
6 0
4 years ago
Read 2 more answers
I’m currently working on my quadrilaterals unit (specifically with trapezoids & kites) and I need major help on a lot of the
allochka39001 [22]

Answer: 29.2

Step-by-step explanation:

The lengths of the two longer legs are both \sqrt{8^2 + 4^2}=\sqrt{80}

The lengths of the two shorter legs are both \sqrt{4^2+4^{2}}=\sqrt{32}

So P=2\sqrt{80}+2\sqrt{32} \approx 29.2

5 0
2 years ago
Read 2 more answers
Write an equation in slope-intercept form when given two pieces of key information about the line.
kifflom [539]

Answer:

what grade are u in

Step-by-step explanation:

bc I have no idea what u are doing

6 0
3 years ago
Other questions:
  • WILL GIVE A BRAINLIEST!! PLEASE HELP!!
    15·1 answer
  • Consider the hypothesis test H0: μ1= μ2 against H1: μ1.Suppose that the sample sizes aren1 = 15 and n2 =μ2. Assume thatσ21 = σ22
    6·1 answer
  • Write an integer to describe a loss of 15 yards
    15·2 answers
  • Question 3 (1 point)
    11·1 answer
  • Please tell ans of attached photo
    5·1 answer
  • Eight years ago, Will opened a savings account that earned 1.2% simple interest every year. He opened his account with $1,750 an
    8·1 answer
  • Set up the following word problem as a proportion and solve. Then write your answer as a complete sentence.
    7·1 answer
  • Amy baby sat from 7:30 to 11:00 p.m. If Amy was paid $15.75, how much did she earn per hour
    13·1 answer
  • triangle TAM has the vertices T(0,5), A(4,1), and M(3,6). Find the Ry= -2 then T‹-4, 0› (triangle TAM)
    15·1 answer
  • PLEASE HELP ME ASAP!!!<br><br><br> TY :)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!