All Answers 356007 Answers

I think it is like a grandfather, father, and son, because the father is the son of the grandfather.

There is a 1/4 chance of landing on a 1...

So, 25% is an UNLIKELY chance.

Let's list the possibilities...

92129

91219

29192

21912

12921

19291

99999

11111

22222

11211

22122

99199

99299

22922

11911

So a total of 15 possibilities.

Last one:    the 19.3 and 14.2 dimensions will fit in the box without problems

   the WIDTH of the disc case is the questionable one   1.6 cm      sixteen of them would need 16 x 1.6 = 25.6 cm

     the width of the OUTSIDE of the box is 26 cm.... if the walls of the box are greater than .2 cm each, the interior dimension will not allow for 16 of the disc cases to fit inside.

Check this:

3. 

a is 1/10 because there is one four and a total of 10 cases.

b is 2/10=1/5 because there are two cards with "ones" and 10 total cases.

c is 1-1/5=4/5 because b and c must add to each other.

Area = (1/2)  (XZ) (YZ)sin (58°)  = (1/2)  (9)(4)sin(58°)  =  18sin (58°)  ≈  15.26  units^2

for the second one is it 

E

C

A

not sure

2)

Certain is 100% or 1, so E is certain.

Impossible is 0, so A is impossible.

Even is 50%, so C is even.

First one:   (please don't post multiple questions in one post-----you may not get responses to all of them !!)

y = yellow cubes

b = blue = 3y

g= green = 5b = 5(3y) = 15 y

y / (y+3y+15y) =   y / 19y   =  1/19    chance of getting yellow

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

a horizontal line containing (−3, −5)

A horizontal  line  will  just  have  the equation

y = - 5       (the  y coordinate of the given point)

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = −6, point (−1, −4)

y = -6( x - - 1)  - 4

y  = -6 ( x + 1)  -  4

y = -6x  - 6  -  4

y = -6x  - 10

A slight  mistake 

y =(-7/2) (x - - 8)  - 4

y =(-7/2) ( x + 8)  -  4

y = (-7/2) x - 56/2  - 4

y = (-7/2)x - 28  - 4

y = (-7/2)x -  32

it is 4x^2 +6

Correct!

A sponge? 🤔🤔

That happened to me a few times and I think it's because the post got taken down. 

What is full of holes but still holds water?

(just for fun)

Let  n  = the  number  of $1  bills

So......200 - h   =  the  number  of  $5 bills...so we  have  this equation

1*n + (200-n) *5   =  300

1n  + 1000  - 5n  =  300

Can you take it from here  ???

When moderators need to check it, I think..... I dunno... it happens to me sometimes.

Try messaging the mods?

Now it's actually 16th from the top.

(6x + 4) * (15x  - Square )

We  need  to  have a "square" that will  "cancel"  the  resulting  "x"  term  

This  can  be  done  by making the 'square"  =  -10

Proof

(6x  + 4)  (15x  - 10)  = 

90x^2  +  60 x - 60 x  -  40  =

90x^2  - 40   =   a binomial

After you're done with this problem of course.

Hey CPhill, could you look at a problem that is 15th from the top and says that the person has been stuck for an hour. Thank you!

∑[(2n+1) / (n*(n+1)*(n+2)), n, 1, ∞ ] = It converges to 1.25

Here is the Patial Sum Formula:

sum_(n=1)^m (2 n + 1)/(n (n + 1) (n + 2)) = (5 m^2 + 7 m)/(4 (m + 1) (m + 2))