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\(5.35=5\frac{35}{100}\)

And we can reduce the numerator and denominator by 5.

\(5\frac{35}{100}=5\frac{7}{20}\)

y^2 - 1y - 42  

We need two factors that multiply to -42   and sum to  - 1

It appears that   6 and -7 should do the trick.....so...

(x + 6 )  ( x - 7) 

Sums  > 9  include

10  =  3 ways to do this

11 =   2 ways to do this

12  =  1 way to do this

6 ways to roll a sum > 9

Multiples of 6

6 =  5 ways to do this

12 =  1 way to do this

6 ways to roll a multiple of 6

And we have 36 possible outcomes

So,   N (sum > 9 and multiple of 6)  =      1  way  [rolling a 12 ]

And the P(sum > 9 and multiple of 6)  =  1/36

And N ( sum > 9 or multiple of 6 )  =  N(sum > 9) + N(multiple of 6)  - N(sum > 9 and multiple of 6)  =

6  + 6  -  1   =  11  ways

So  ...  P(sum > 9 or multiple of 6)  =  11/36

(1/3) * pi * 5 * 5 * 9

=  (1/3) * pi * 25 * 9

=  (1/3) * pi * 225

=   (225/3) * pi

=  75 pi          ≈  235.619

To do a fraction on this calculator, you can type it in like this:

numerator / denominator

So, to do:  \(\frac35\)

Type:        3/5

And make sure it displays correctly in the top, otherwise you might need to put parenthesees. 

I think you mean:

y² + 13y + 30

What two numbers add up to 13 and multiply to 30?

+ 10   and   + 3   add up to   13   and multiply to   30

So...we can factor it like this:

(y + 10)(y + 3)

(y+10)(y+3)

Pi is an irrational number, so it can't be expressed as just a fraction  

We have a book at my house called The Simple Solution to Rubik's Cube by James G. Nourse, and it's pretty good !!  If you can find one, I recommend it!

The best way to learn it is to practice doing it! 

mean = \(\frac{1+1+1+2+2+3+4+5+5+25}{10} = \frac{49}{10}=4.9\)

It is right above the  " log "  button.

Also, you can type in:   sqrt(   )

For example, to do:      \(\sqrt5\)

Type:                          sqrt(5)

64^4/3   =   64^1/3  *  64^3/3   =   4 * 64   =   4 * 4³   =   4⁴   =   256

x² + 4x + y² - 10y + 13  =  0

Subtract 13 from both sides of the equation.

x² + 4x + y² - 10y  =  -13

Add (4/2)² , or 4, and (10/2)² , or 25, to both sides of the equation.

x² + 4x + 4 + y² - 10y + 25  =  -13 + 4 + 25

Now we can factor the x part and y part like this....

(x + 2)² + (y - 5)²  =  16

Do you mean 3 times the 5th root of 3?

A popular tourist attraction in Ottawa is the Peace Tower, which rises from the Center Block of the Parliament Buildings. Describe at least one method that you could use to estimate the height of the Peace Tower. Include a diagram and the measurments that you would need to make.

A ladder is placed so that it's foot is 2m from a wall. The ladder touches the top of a 2m fence that is 1.5m from the wall. How high up the wall does the ladder reach?

Since the focus is below the directrix, this parabola turns downward

The  vertex  is given by   ( -2, [ 6 + 4] / 2)   =  ( -2, 5)

And p   =   (5 - 6)  = -1

So the equation becomes

4p( y - k) =  (x - h)^2   where  (h, k)  is the vertex  and p = -1

So we have

4(-1) (y - 5) = ( x  + 2) ^2

-4(y - 5)  =  ( x + 2) ^2

Here is the graph :  https://www.desmos.com/calculator/8iug8y6j5h

Thank you

side  =   ∛56  =  3.82586 =  3.83  inches

Question 17 : Given equation 4x² - 7x + 9 = 0, find the value of x.

Because the disriminant < 0,  this has no real roots

Question 16 : Find the value of K in the perfect square 12x² - 6x + K

Write  12x^2 - 6x

Factor  out  the 12

12  ( x^2  -  (1/2)x  )

Take (1/2)  of (1/2)  = 1/4.....square this  =  1/16

So  we  have

12 (x ^2  - (1/2)x  + 1/16)

12x^2  - 6x  + 12/16

12x^2 - 6x  +  3/4

So....  K  =  3/4

Total energy produced is  15*750 BTUs

volume is 38*8.5*6.25 ft³ 

Divide total energy by volume to get the number of BTUs per cubic foot.

I'll leave you to crunch the numbers.

Density = mass/volume

Here the volume is 8³ cm³ or 512 cm³

so the density is 400/512 g/cm³ = 0.78 g/cm³ to the nearest hundredth. 

Question 15 : Given Ƹ = {1,2,3,4,5,.6,7,8}, A= {1,2,4,8}, B= {1,3,5,7}, C = {2,4,6,8}, find A n B¹ u C¹.

B '  = { 2, 4, 6, 8 }

C' = { 1, 3, 5, 7 }

So

A ∩ B' U C'  =

{ 2, 4, 8 }  U { 1, 3, 5, 7 }  =

{1, 2, 3, 4, 5, 7, 8 }