Active Now

CosmicWunderkind
Element 99
Danilo_G
Discussion » Questions » Education » What does the bottom question say on the 'Classroom Words' Worksheet?
DannyPetti

What does the bottom question say on the 'Classroom Words' Worksheet?

Posted - April 8, 2020
Tag : Bottom question classroom words worksheet

Responses


  • 7405
    Well I’ve never seen it here before today... I guess it is because of all my A+‘s. 
      April 22, 2020 7:53 PM MDT
    1

  • 2573
    :)
      April 23, 2020 7:28 AM MDT
    0

  • 44239
    My son could do those when he was three.
      April 22, 2020 11:18 AM MDT
    1

  • 10542
    Our son couldn't do those when he was three but he could make a jello desert that was better then pi. He is now a professional baking cheif. Cheers and happy Earth day!
      April 22, 2020 11:39 AM MDT
    1

  • 44239
    Awesome. Do you visit him for some fine eating?
      April 22, 2020 11:44 AM MDT
    1

  • 10542
    Not latley but hopefully this virus thing will be over by summer and we will get a BBQ or 2 in. Cheers and happy Earth day!
      April 22, 2020 11:55 AM MDT
    1

  • 44239
    My son and family live in Everett, WA and won't be making their annual visit here this year.
      April 22, 2020 12:00 PM MDT
    1

  • 2573
    Will the coronavirus really be gone at summer (for sure), I be waiting for that(?)
      April 22, 2020 1:35 PM MDT
    1

  • 10542
    Maybe in Canada we are taking a lot of steps to get it under controll. Cheers and happy weekend!
      April 22, 2020 3:11 PM MDT
    1

  • 2573
    Okay-Cheers and happy weekend to you too!
      April 22, 2020 4:02 PM MDT
    1

  • 2573
    Then is your son still here? I will give some worksheets to him if he is here(?)
      April 22, 2020 1:32 PM MDT
    1

  • 44239
    He doesn't come here.
      April 29, 2020 5:23 PM MDT
    1

  • 5455
    Post them here, please.

      April 18, 2020 3:21 PM MDT
    3

  • 2573
    Here's Jaimie want to give you these ones:

    -May have to see how this can be blown back-up.
      April 19, 2020 10:39 AM MDT
    2

  • 13260
    Back up is two words, not hyphenated.
      April 22, 2020 7:40 AM MDT
    1

  • 2573
    Okay Stu
      April 22, 2020 9:51 AM MDT
    1

  • 2573
    Did you got done any of the math problems-the 2 pages of it that I gave you from Jaimie?
    I be waiting to check the math problems that you did, and then I may like to give you more worksheets (soon, after that).
      April 22, 2020 7:28 AM MDT
    3

  • 5455
    Here's the first one.  I'm working on the second one now.  I forgot how to do this stuff probably immediately after the finals in high school which was nine years ago.  Ugh   I guess I'll take my challenge failed now. 


     

    1A:

    lim of f(x) as x approaches 3 from the left = 5

    lim of f(x) as x approaches 3 from the right = 3² - 4 = 5

    The two-sided limit as x approaches 3 is 5.

     

    1B:

    lim of f(x) as x approaches -4 from the left = -4

    lim of f(x) as x approaches -4 from the right = 5

    -4 ≠ 5, therefore it’s discontinuous at x = -4 because the two-sided limit doesn’t exist.  It’s also discontinuous because there’s both a hole and a jump at x = -4.

    2A:

    2 - -1 = 3

    lim of f(x) as x approaches -1 from the left = 3

     

    2B:

    2 - -1 = 3
    -1

    3 ≠ -1, therefore the two-sided limit as x approaches -1 doesn’t exist.

     

    2C:

    lim of f(x) as x approaches -1 from the right = -1


    2D:

    0
    0

    The two-sided limit as x approaches 0 = 0

     

    2E:

    1

    lim f(x)  as x approaches 1 from the left is 1.

     

    2F:

    1
    (1 - 1)² = 0

    1 ≠ 0, therefore the two-sided limit as x approaches 1 doesn’t exist.

     

    2G:

    (1 - 1)² = 0

    lim of f(x) as x approaches 1 from the right = 0

     

    2H:

    0

    This post was edited by Livvie at September 1, 2022 9:37 AM MDT
      May 4, 2020 1:17 AM MDT
    2

  • 7405
    OMFG!! Lol :) How did you do this?
      May 4, 2020 7:21 PM MDT
    2

  • 2573
    Well, let's take a look at this first
      May 7, 2020 3:09 PM MDT
    1

  • 2573
    Livvie, I may need an Answer Sheet to help correct through this whole thing with, or it might take me really long to correct this with a good Scientific Calculator probably, maybe have to find something better than this if You want me to finish correcting this soon.
      May 8, 2020 11:13 AM MDT
    1

  • 5455


    1:

     (8 choose 5)(3x)⁵(-2)³

     coefficient of x⁵ = 56 x 243 x -8

    FINAL ANSWER:  -108864

     

     2:

             1

            1 1

           1 2 1

          1 3 3 1

         1 4 6 4 1

      1 5 10 10 5 1

    1 6 15 20 15 6 1

    1 7 21 35 35 21 7 1


    1 = (5a)⁷(b)⁰
    7 = (5a)⁶(b)¹
    21 = (5a)⁵(b)²
    35 = (5a)⁴(b)³
    35 = (5a)³(b)⁴
    21 = (5a)²(b)⁵
    7 = (5a)¹(b)⁶
    1 = (5a)⁰(b)⁷

     = 35 x 5³ x a³b⁴

     FINAL ANSWER: 4375.

     

     3:

     coefficient of a⁵b⁷

     (12 choose 5) = (12 choose 7)

    FINAL ANSWER:  792

     

     4:

     - (512/x18) + (2304/x15) - (4608/x12) + x⁹ + (5376/x⁹) - 18x⁶ - (4032/x⁶) + 144x³ + (2016/x³) - 672

     FINAL ANSWER:  -672

     

     5:

     (3x + 2y)⁴  

     = (3x)⁴ + (4 choose 1)(3x)²(2y) + (4 choose 2)(3x)²(2y)² + (4 choose 3)(3x)(2y)³ + (2y)⁴

     FINAL ANSWER:  81x⁴ + 216x³y +216x²y² + 96xy³ + 16y⁴

     

     6A:

     (1 +1)⁴

     = 2⁴

     = 1 + (4 choose 1)(1) + (4 choose 2)(1²) + (4 choose 3)(1³) + 1⁴

     ⇒ (4 choose 1) + (4 choose 2) + (4 choose 3)

     = 16 - 2

    FINAL ANSWER: 14

     

     6B:

     (1 + 1)⁹

     = 1 + (9 choose 1) + (9 choose 2) + (9 choose 3) + (9 choose 4) + (9 choose 5) + (9 choose 6) + (9 choose 7) + (9 choose 8) + 1

     ⇒ (9 choose 1) + (9 choose 2) + (9 choose 3) + (9 choose 4) + (9 choose 5) + (9 choose 6) + (9 choose 7) + (9 choose 8)

     = 2⁹ - 2

    FINAL ANSWER: 510

     

     7A:

    FINAL ANSWER: 10

     

     

    7B:

     (9 choose 6)3³x⁶(1/x⁶)

     FINAL ANSWER: 2268

     

     

    8:

     

    x³ is in (5 choose 3)(2)²(-x)³

     (5 choose 3) = 10

     The term is -40x³

     FINAL ANSWER:  The coefficient is -40.

     

     

    9:

     (7 choose 2)5²(2x²)⁵

     FINAL ANSWER: 16800x10

     

     

    10: 

    FINAL ANSWER: (2+ax)⁴ = 16 + 32ax + 24a²x² + 8a³x³ + a⁴x⁴


    This post was edited by Livvie at June 21, 2020 6:37 AM MDT
      May 4, 2020 12:39 PM MDT
    2

  • 2573
    Livvie, hope we'll able to find the answer sheet (from Google) for this-so I can correct these sheets soon if give the answer sheet to me after you find it(?)
      May 23, 2020 2:54 PM MDT
    1

  • 5455
    Umm, you're the teacher.  You don't need an answer sheet!  Expanding binomials and solving piecewise functions is fun so let's get grading here!  I wtk if Jaimie has to eat five gallons of ice cream when she gets back!  Also, she's Canadian so make sure she has to eat five imperial gallons of ice cream and not five USA gallons, please.

    This post was edited by Livvie at September 1, 2022 9:37 AM MDT
      May 23, 2020 8:06 PM MDT
    1

  • 2573
    Do you know how I will get through correcting all the rest of these (important math sheets) that Jaimie handled to me to give to you-soon, then I can work on the other drawing projects-for this answerMug site, and I think it would be really fun to draw these & for them & you to see these too-& I would like to start these soon(?)

    Have you heard anything from Jaimie from the last couple/few days?
    I have more things to type to Jaimie & would like to hear from Jaimie soon, and I will next give Jaimie other choices of topics/selections to pick & type messages about and to reply to me then to Jaimie about these(selection of choices)-I will make a new place thread just for Jaimie to type from these choices & for Jaimie to review the replies just from that new thread.

      May 24, 2020 7:46 AM MDT
    1