ElectricPavlov

https://web2.0calc.com/questions/counting-problem_45

If log3 𝑥 = 𝑡, use the law of logarithms to show that log3 √27 𝑥 is equivalent to 𝑡 + 3 2 .

                               log₃ sqrt 27 x =         =    log₃ x    +   log₃sqrt 27

                                                               =   t   + log₃   27 ^(1/2)

                                                               =  t +    log₃ ( 3³)^1/2

                                                                                     =  t +    log₃ 3^3/2

                                                                                    =  t + 3/2

Your question starts with resistors....and finishes with bulbs....

FOUR resistors in series would all have the same current through them

   v = i r

   v = 2 (20/4) = 10 volts drop across each resistor

(x^4+ax^7+bx+c)(x^3+dx^2+e)(x+f)(x^3-8x^2+7x-1),

x^4 * x^3 * x^3   = x⁴⁺³⁺³    

      The constants  a-f  do nothing to change the degree of the polynomial

1/130 = .0 076923 076923......

 there are 6 digits that repeat after the initial 0

    130/6    is 21 2/3   so

   the 130 th would normally be a   '9'    ( 2/3 position of the string)   but the string is shifted one digit to the right due to the first '0'

        so the 130th digit will be '6'           As Melody found in her answer ........

If K gave away half and winds up with 9 fewer, then 1/2 of his stickers is 9    ....so K started with 18

   I think your question may be worded improperly....please proofread....

12x+4 = 16    Subtract 4 from both sides of the equation

12x = 12          now divide by 12

x = 1

Marisol made 300 cookies. S he sold 3/4 of them and 1/3 of the remainder to her neighbor. How many tarts  cookies did she have left. 

Selling 3/4 of them leaves 1/4 *300

   then giving away 1/3 leaves     2/3 (1/4*300) = 50 left

Factors of 2018   are  1   2    1009   and   2018     and the negatives

(x+2)(x+1009)   would result in b = 1011    the smallest positive

(x-2018)(x-1)      would result in b = - 2019   for the overall smallest integer (but negative)

10 000 ( 1 + .046)²    - 10000 = ___________  dollars