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Mathematics 21 Online
mikewwe13:

https://static.k12.com/nextgen_media/assets/8115350-NG_AL1_4_10_525_002.jpg The function graphed approximates the height of a nail, in meters, x seconds after a construction worker drops it from a skyscraper. After about how many seconds is the nail 50 m above the ground? A. 3.2 s B. 3.5 s C. 3.9 s D. 4.1 s

mikewwe13:

@Vocaloid

mikewwe13:

@Vocaloid

Vocaloid:

"After about how many seconds is the nail 50 m above the ground?" notice that the y-axis represents height, so you would locate 50 on the y-axis and find the corresponding x-axis value

mikewwe13:

the answer is A

mikewwe13:

am i correct ?

Vocaloid:

|dw:1521151188185:dw|

Vocaloid:

|dw:1521151193745:dw|

Vocaloid:

which answer choice is closest to this x-value?

mikewwe13:

D.

Vocaloid:

look carefully, the x-value is less than 4.

mikewwe13:

OH I SEE,

Vocaloid:

try one more time, there's an answer choice that's closer to 4 but still less than 4.

mikewwe13:

Mark out A, B and D

mikewwe13:

so it's C

Vocaloid:

good

mikewwe13:

Joe will build a rectangular pen for his dog. A wall will form one side of the pen. Joe has 40 ft of fencing to form the other three sides. Joe plans to build the pen so that it has its maximum possible area. What will be the dimensions of Joe’s dog pen? Enter your answers in the boxes. ft _______ by _____ ft

mikewwe13:

the answer is 20 ft by 10 ft

Vocaloid:

good

mikewwe13:

Carissa takes a square piece of cardboard and cuts 5 in. by 5 in. squares out of each corner. She folds the sides up to make a box without a top. What equation can Carissa use to determine the volume of the box, where x is the side length of the original piece of cardboard? Express the equation in standard form. Enter your answer in the box. V =

Vocaloid:

|dw:1521151586664:dw|

Vocaloid:

if the original length of the box is 5, and we cut out 2 pieces each with length x, what would be the equation for the new length?

mikewwe13:

5x^2 - 100x + 500

Vocaloid:

I got something a little different than that

Vocaloid:

let's take it one side at a time if the old length is 5 and we take away two pieces of size x, what would be the equation for the new length?

mikewwe13:

i had it but i just forgot it

Vocaloid:

well, if the squares were, say, 1 inch each, we would just subtract 5 - 1 - 1 since there are two pieces being taken away so if we start with 5, take away 2 pieces each of length x, what would the new length be?

mikewwe13:

3

Vocaloid:

almost but not quite if we start with 5 and take away x, we would subtract 5 - x if we take away another piece x, we subtract 5 - x - x or 5 - 2x make sense so far?

mikewwe13:

yes just about

Vocaloid:

now, if we look at the width, it's the same thing, we start with width 5 and take away two x-pieces to get 5 - 2x again so length = 5 - 2x width = 5 - 2x for the height, when we "fold up" the flaps, we get a box with height x so volume = (5-2x)(5-2x)x how would we express this equation in standard form?

mikewwe13:

4x^3 - 20x^2 + 25x

Vocaloid:

^ good so that would be your final answer

mikewwe13:

are you sure this right answer ?

mikewwe13:

cause i thought it was 5x^2 - 100x + 500

Vocaloid:

it's this 4x^3 - 20x^2 + 25x since the width, length, and height all have x in them, the final answer must have x^3 in it which means 5x^2 - 100x + 500 can't be right

mikewwe13:

The function y=−16x^2 + v0x models Lindy's height in feet above a trampoline x seconds after she jumps straight up. In the equation of the function, v0 is her initial velocity in feet per second. Lindy lands back on the trampoline 1 second after she jumps. What is the value of ​ v0 ​? Enter your answer in the box. v0 = ______ ft/s

mikewwe13:

16

Vocaloid:

well people on the internet are saying 5x^2 - 100x + 500 was right (for the Carissa box problem), I don't agree with that but if that's what the system is marking as correct then I guess go with that

Vocaloid:

yeah I got 16 for the Lindy problem too

mikewwe13:

A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of the sides of the enclosed area. What is the maximum area that can be enclosed by the fencing? Enter your answer in the box. ________ ft²

mikewwe13:

I believe it's 11,250

Vocaloid:

yeah that's what I got too

mikewwe13:

yes that was correct 5x^2 - 100x + 500

mikewwe13:

and the other

mikewwe13:

one question, whenever i have a question or trying to reach you, how come you don't reply

mikewwe13:

even if you're there

Vocaloid:

I can't help people 24/7 sometimes I have to work on my own hw too

mikewwe13:

i understand that, but when i text you you don't reply back

Vocaloid:

if I don't reply please assume that I am occupied

mikewwe13:

ok that makes sense

mikewwe13:

but just next time could you remind me ?

mikewwe13:

and do you even get my messages ?

Vocaloid:

I do, I usually try to get back to people in the evenings

mikewwe13:

also do you know anybody who's good 100% at history ?

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