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Did I touch a nerve? Did it cause an Ouchy!

Maybe Mrs. Pound will kiss it and make it all better.... LOOOOOOOOL

Alex has a bag with 4 red marbles and 2 blue marbles. He draws a marble from the bag, sets it aside, and then draws another marble from the bag. What is the probability that both marbles that Alex drew are red? (Write your answer as a simplified fraction.)  

Alex has 4 chances out of 6 that the first marble is red 

Alex has 3 chances out of 5 that the next marble is red 

For both to happen, multiply (4/6) • (3/5) = 12/30  reduces to 2/5    

_.

Shut up

Same Question just different letters......

https://web2.0calc.com/questions/triangle-abc-is-a-right-triangle-with-right-angle-at-a.

Here you go, EP.  The first part of this question has the number of donuts.

Given

      h = 23 inch             cloth = 12 inch * 60 inch

       l = 84 inch

     w = 28 inch

Sol^h 

      Since coffin is Rectangular Prism, So inside total

Surface is given by

            S = 2(lw + lh + wh)

               = 2(28 *  84 + 84 * 23 + 28 + 23)

               = 9856 in²

Total Area covered by 1 Piece Cloth = 12 * 60 = 720 inch²

Total number of pieces required = 9856/720 = 13.68 ≈ 14

Since length of each cloth is 1 feet so 14 Cloth length 14 feet

Total cloth required is 14 feet

first circle:

(x-2)² + (y+1)² = 16

becomes:

(x² - 4x + 4) + (y² +2y + 1) = 16

x² - 4x + y² + 2y + 5 = 16

x² - 4x + y² + 2y = 11

second circle:

(x-2)² + (y-5)² = 17

becomes:

x² - 4x + 4 + y² - 10y + 25 = 17

x² - 4x + y² - 10y + 29 = 17

x² - 4x + y² - 10y + 23 = 11

we have x² - 4x + y² + 2y = 11     and     x² - 4x + y² - 10y + 23 = 11

both equal 11 so they equal each other

x² - 4x + y² + 2y = x² - 4x + y² - 10y + 23

x², -4x, y² cancel out

2y = -10y +23

12y = 23

y = 23/12

23/12 is the y - value of both of the points where the circles intersect (A and B)

choose one of the equations to plug in 23/12 as y. This will find the x-values of both of the points

i choose (x-2)² + (y+1)² = 16

but you can do other one too

(x-2)² + ((23/12)+1)² = 16

(x-2)² + ((23/12)+(12/12))² = 16

(x-2)² + (35/12)² = 16

(x-2)² + 1225/144 = 2304/144

(x-2)² = 1079/144

(x-2) = sqrt(1079/144)   OR   (x-2) = -sqrt(1079/144)

x = sqrt(1079/144) + 2   OR   -sqrt(1079/144) + 2

These are the x values of the two points where the circle intersect

I guess AB means the line segment between them

So AB² is the length of the line segment squared which means we subtract the two x-values then square. We dont have to worry about the y-values since they are the same for both points

( (sqrt(1079/144) + 2) - (-sqrt(1079/144) + 2) )²

( (sqrt(1079/144) + 2 + sqrt(1079/144) - 2) )²​

( sqrt(1079/144) + sqrt(1079/144) )²

( 2sqrt(1079/144) )²

4(1079/144)

1079/36

or in decimal

29.97222....

There are only blue pens ,green pens and red pens in a box. The ratio of the number of blue pens to number of green pens is 2:5. The ratio of the number of green pens to number of red pens is 4:1. There are less than 100 pens in the box. What is the greatest possible number of red pens in the box?

Let x be number of

      cups of salad eaten

  20 - x = 3 3/4

       - x = 3 3/4 - 20 ; 3/4 = 0.75

       - x = 3.75 - 20   
  -1 (- x = -16.25)

          x = 16.25 ; 0.25 = 1/4 ; x = 16 1/4 cups

98.5 pi    units²

5 students initially.

5 C 4 ==5 committees of 4 students

5 + 1 ==6 students now.

6 C 4 ==15 committees of 4 students.

Since we are only looking for the x coordiantes, equate the two parabolas

-x^2 -x + 1 = 2x^2 - 3x

3x^2 -2x - 1 = 0                Quadratic Formula shows  c and a   are   1   and   -1/3      <====== you can finish

How many donuts did Mrs. Pound have to start?

Choose a red one  2 out of 9    2/9

  now there are 8 marbles left

      choose a blue   3/8

     now there are 7 left

         choose a green    4/7

2/9  *  3/8  *   4/7   = ...................

h = 8.7 m

8.7 = -4.9t^2 + 14 t -.4

0 = -4.9 t^2 + 14 t - 9.1         Now use Quadratic Formula to solve for t's    the time above 8.7 m is the time between the t's

         a = -4.9     b = 14     c = - 9.1

\(t = {-14 \pm \sqrt{(14)^2-4(-4.9)(-9.1)} \over 2(-4.9)}\)

60 min / hr * 1/4 hr   = 15 min

y = k/x²           k = proprtionality constant

y x^2 = k

27 (6²) = 972  

now when y = 8

8 (x²) = 972

x = +sqrt(121.5)

Assuming there are 10 digits possible for each spot in the combo

10 * 9 * 8 * 7 * 6 = 30 240 possible combinations     you have a   1 / 30,240   chance of guessing on your first try

Vertex (-4,0) form of parabola

y= a ( x- - 4)^2 + 0

  y = a (x+4)^2       sub in the point 7,1

  1 = a (7+4)^2   

        so a = 1/121

y = -3/7 x + 13    is the equation for the line.... the 'x' axis intercept occurs when y = 0

0 = -3/7 x + 13        now solve for x

Substituting:  f(-3/4)  =  8(-3/4)³ - 6(-3/4)² + 12(-3/4)  =  -15.75