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$2000 \pmod{24} = 8\\ 2am+8 = 10am\\ $

cos theta is a ratio, it is always between -1 and +1

inverse cos is an angle.    Inverse cos is the same as arc cos.

In the trianlge illustrated:

$\boxed{cos \theta = \frac{adj}{hyp}\\~\\ cos^{-1}\left( \frac{adj}{hyp}\right)=\theta\\}\\~\\ also\\~\\ acos\left( \frac{adj}{hyp}\right)=cos^{-1}\left( \frac{adj}{hyp}\right)=\theta\\~\\$

Sounds good to me Daisy :)

2² = 2*2          * = multiplucation sign

2*2 = 2+2

2+2= 4

2²= 4

$2^2=\boxed{4}.$

Here's (b)

We can use the Pythagorean Theorem for  3 dimensions

The distance is given by : √[ 3^2 + 4^2 + 12^2 ]  = √ [ 25 + 144 ]  = √169  =  13 inches

Is this it?

Here is the graph:   x = -1   -2   fit the bill !

Okay thanks

Rate * Time = Distance

The total distance they travel = 1880 km .....so......we have this equation

220T  + 250T = 1880     simplify

470 T  =  1880     divide both sides by  470

T = 4  hours

So

Lian travels   250 * 4   =  1000 km

1.   Midline will be y = midway between min and max

                             y = -3

2.  Amplitude = 1/2 ( max - min)  = 1/2 (6- -4) = 1/2 (10) = 5

Can anybody help Me??

How long before they meet?

1880 km / (220 +250 km/Hr) = 4 hours

Lian speed = 250 km/hr

   250 km/hr x 4 hr =  1000 km

1)  The minimum is the lowest y value on the graph ⇒  y =1

2)  The max is the highest y value on the graph ⇒  y = - 2

The period is 10  units

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Correct, AT....!!!!

Notice that

l 0 l  =  - 0   =  0

Now....suppose that x is negative

So

l x  l  =  - x

For instance ..... suppose that x = - 3   .....we have......

l  -3 l =  - (-3)  =  3

4.Two number cubes are rolled. Each number cube has sides numbered 1 through 6.

What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?

Outcomes        Frequency

   2                         1

   3                         2

   4                         3

   5                         4

   6                         5

   7                         6

   8                         5

   9                         4

  10                        3

  11                        2

  12                        1

P ( even or multiple of 3)  = P(even) + P(multiple of 3) - P(even and multiple of 3)  

                                         = 18 / 36  + 12 /36  - 6 /36    

                                            24 /36     

                                              2 / 3   ⇒  CORRECT!!!

1.

−6x^5+4x^3

Test for eveness.....replace x  with -x.....if we come back with what we started with....then even....so....

-6(-x)^5 + 4(-x)^3  =   6x^5 - 4x^3   not the same....so....not even

Test for oddness.....replace x with (-x)....if all the signs change, odd...

Note that this happened  in the first test.....so.....odd  !!!!!

2.  Correct   !!!!

3.     6 /15 =    2 / 5   =   40%

Ok thanks and can you please tell my why, sorry that I posted another question but I wanted to clarify it more.