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" When a torque is applied to an object it begins to rotate with an acceleration inversely proportional to its moment of inertia."

SO its moment of inertia ( 2/3 mr^2 [for a thin walled sphere]) would have been used to determine the acceleration...which was already computed (if you will) and given to you in the question as 0.3 m/s^2....so ...yah, I guess it is not needed unless you used it to calculate the acceleration you gave in your question.

Please let me know if you find something here to be in error....Thanx  !

21

3x^2 = 27

x^2 = 9

x=3

(lnverse operations)

Sarcasm is right. think of -x as x times -1.

-35 * -1 = 35

$3,418,82 - $2,481 =$937.82 simple interest earned over 18 years.

$937.82 / 18 =$52.10 simple interest earned in 1 year.

$52.10 / $2,481 =0.021 x 100 =2.1% simple annual interest rate on this account.

meaning x=-35. Other than that I don't know how to help you really

what FOUR? Get it? No? I tried...

4/[4+5] x 1,800 =800 number of red M&M's

5/[4+5] x 1,800 =1,000 number of green M&M's.

1,000 - 800 =200 fewer red M&M's than green M&M's.

(8x9)/GCF=LCM

(8x9)/1=LCM

LCM=72

What is the LCD of 9 and 8?

\( The \ Least \ Common \ Divisor \ is\)

\(\large LCD=9\times 8 =72\)

   !

Furthermore, I left out that they provided \(I=2/3mr^2\) . is that extraneous information? bc i recall that \(T=I\alpha \)

F= ma      and torque = f x d     where d= the radius of 0.23 m

                                   = ma x r

                                   =.625 (.3)(.23) = .0431 N-m                           

2/12 are hawk fans    10/12 are cyclone fans

(10/12 -2/12)(500) = number of more cyclone fans than hawks = 8/12 x 500 =~ 333 more cyclone fans than hawk fans

380 = 2 x 190

=2 x 2 x 95

= 2 x 2 x 5 x 19

1 1/2  / (2)  =  3/2  / (2/1) =  3/2 x 1/2 = 3/4

x = 2 pointers    then  40-x  = 4 pointers

x(2) + (40 -x)(4) = 100

2x +160 - 4x = 100

-2x = -60

x = 30      two-pointers         40 -x = 40 - 30 = 10 four pointers

This is ambiguous...here are two possibilities

(1/7) * 9 = 9/7

1/(7*9) = 1/63

what is 9 divided by 874

\(\frac{9}{874}=1.02974828375\times 10^{-2}\)

  !

if there are 2 modes the put both(applies to more such as 3 modes,ect)

'i' could just be a variable like 'x'  BUT I suspect it is   the 'i' as in iMAGINARY numbers

i = \(\sqrt{-1}\)

18

= 89.8 m  (rounded to nearest tenth)