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
bulgar [2K]
4 years ago
8

Write 8pr/12p in simplest form 4pr/6p 4r/3 2r/3 2/3

Mathematics
1 answer:
Sunny_sXe [5.5K]4 years ago
3 0
First - Since you have a  in the numerator and denominator, you can cancel them and get:
8r/12

Second - Since both 8 and 12 have common factors, you can find the GCF and divide both by that number.
GCF = 4
8/4=2
12/4=3

Answer:
2r/3
You might be interested in
The function f(x)=x^2+2x+6 is graphed in the xy-coordinate plane shown .Based on the graph of the function ,which of the followi
dexar [7]

9514 1404 393

Answer:

  a, c

Step-by-step explanation:

The vertex is at x=1 and the parabola opens downward, It is increasing for all values of x < 1, and decreasing for all values of x > 1.

The answer choices divide the increasing interval into two parts:

  x < 0 . . . . . . . 1st choice

  0 < x < 1 . . . . 3rd choice

6 0
3 years ago
Use a surface integral to find the surface area of the portion of the sphere xUse a surface integral to find the surface area of t
brilliants [131]

Parameterize this surface (call it S) by

\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos v\,\vec k

with 0\le u\le2\pi and 0\le v\le\dfrac\pi4. The limits on u should be obvious. We find the upper limit for v by solving for v where the sphere and cone intersect:

\begin{cases}x^2+y^2+z^2=1\\z=\sqrt{x^2+y^2}\end{cases}\implies x^2+y^2=\dfrac12

\implies(\cos u\sin v)^2+(\sin u\sin v)^2=\dfrac12

\implies\sin^2v=\dfrac12

\implies\sin v=\dfrac1{\sqrt2}\implies v=\dfrac\pi4

Take the normal vector to S to be

\vec r_u\times\vec r_v=-\cos u\sin^2v\,\vec\imath-\sin u\sin^2v\,\vec\jmath-\cos v\sin v\,\vec k

(orientation does not matter here)

Then the area of S is

\displaystyle\iint_S\mathrm dA=\iint_S\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{\pi/4}\int_0^{2\pi}\sin v\,\mathrm du\,\mathrm dv

=\displaystyle2\pi\int_0^{\pi/4}\sin v\,\mathrm dv=\boxed{(2-\sqrt2)\pi}

4 0
3 years ago
if the domain of a coordinate transformation that is reflected over the y-axis is (-1,3),(2,1),(5,-1)and(-1,-2) what is the rang
AURORKA [14]

Answer:

Range remains the same.

Step-by-step explanation:

(1,3),(-2,1),(-5,-1) and (1,-2)

7 0
4 years ago
Read 2 more answers
PLEASE HELP FIGURE OUT THE EQUATION!!!
lisabon 2012 [21]

f = twenty bill

f = fifty bill

f + t = 18(gave total 18 bills) and 50f + 20t = 450 ($450 cash a check)

Answer is B.

f + t = 18 ; 50f + 20t = 450

3 0
4 years ago
The side length, s, of a cube is x – 2y. If V = s3, what is the volume of the cube? x3 – 6x2y + 12xy2 – 8y3 x3 + 6x2y + 12xy2 +
otez555 [7]

V = x³ - 6x²y + 12xy² - 8y³

V = (x - 2y)³

   = (x - 2y)(x - 2y)(x - 2y) ( expand first pair of factors )

   = (x² - 4xy + 4y²)(x - 2y) ( multiply terms in first by terms in second )

   = x³ - 4x²y + 4xy² - 2x²y + 8xy² - 8y³ ( collect like terms )

  = x³ - 6x²y + 12xy² - 8y³




8 0
4 years ago
Read 2 more answers
Other questions:
  • What is the value of x?<br><br> A.10<br> B.12<br> C.1<br> D.4
    13·1 answer
  • Relative and Absolute Change
    8·1 answer
  • Which pair of angles is complementary?
    13·1 answer
  • The DVD player shows the time of day as 1:43.
    15·1 answer
  • Solve the equation x+9=11<br> X=
    15·2 answers
  • Alexandria has been playing at the beach with 329 shells. She is putting shells into rows of 6. How many rows will she need if s
    15·1 answer
  • Mathematics achievement test scores for 300 students had a mean and a variance equal to 550 and 3,600, respectively. If the dist
    10·1 answer
  • Find the reciprocal of 3/20
    14·1 answer
  • -3x =21<br> 1/3x =6<br> -1/2x =-7
    15·1 answer
  • Which of the following is the additive identity for rational numbers?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!