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if cos(x) = 27/37 then x = cos^-1(27/37) = 43.14°  

Use acos (short for arccos) on the calculator here.  It is the same as cos^-1  

The powers multiply:  \((5^3)^6\rightarrow 5^{3*6}\rightarrow 5^{18}\)

In general:  \((a^b)^c\rightarrow a^{b\times c}\)

There is no difference.  Thgeyt both mean inverse sine (or arc sine)  

They have to ba followed by a number between -1 and +1

1/2(x/4-2/3)=5/4      multiply both sides by 4

2(x/4 - 2/3)  = 5       distribute the 2 over the terms in the parentheses

(2/4)x - 4/3  = 5

(1/2)x - 4/3  = 5         multiply through by 6

3x - 8  = 30        add 8 to both sides

3x = 38          divide both sides by 3

x = 38/3

Note that .60 = 60% ....  we move the decimal two places to the right and add the % sign

So   ...  7   = 7.00    =  700%

60mph = 88 ft/s

Since 40mph is 2/3 of 60, then 2/3 of 88  = 58.67 ft/s     as "Guest" has found.....!!!!

There is no "greatest common multiple"

If you want the greatest common factor - GCF - "Guest 1" has the correct answer of 9

If you want the least common multiple - LCM -  "Guest 2" has the correct answer of  2835

12=27.73cos(x)    divide both sides by 27.73   and we have

cos(x)   = 12 / 27.73         to find the solution for x, we need to take the cosine inverse

cos^-1 (12/ 27.73)   = x =  about 64.36°

[Also, this could be the same angle in the 4th quadrant = about 295.64°]

Yep, Guest, you are correct.....!!!!

Yes. that's the "Derivative":

(d)/(dx)(7 x (33 y+9 z)-(3 x) (9 y-2 z+13 b)) = -39 b+204 y+69 z

Nice answer, "Guest" and Rosala   !!!!

cos(2x) = -cos(x)

2cos^(x)  - 1=  - cos(x)

2cos^2(x) + cos(x) - 1   = 0     factor

(2cos(x) - 1) (cos(x) + 1)  =  0     and setting each factor to 0, we have

2cos(x) - 1 = 0                                                                      

add 1 to both sides                                                               

2cos(x)  = 1                                                                            

divide both sides by 2                                                              

cos(x) = 1/2                                                                            

And this happens at   pi/3 + 2pi(n)

and at   5pi/3 + 2pi(n)

where n is an integer

 cos(x) + 1 =  0 

 subtract 1 from each side

 cos(x)  = -1

 and this happens at pi + 2pi(n)

where n is some integer

Here's a graph of the solutions........https://www.desmos.com/calculator/kietyhmst0

No ! If you want a-b to be equal to something then that would be -b+a

Does 6 - 3=3 - 6? Can you decide?

I think this is the right answer, atleast this is what the calculator gave me...

-39bx+204xy+69xz

Just enter this in the calculator on the home page and hit enter and then...........

YOULL SEEE MAGICCC!!!

Simple answer #1!

3x (-13 b+68 y+23 z), Root: x=0

I'm not sure if I understand what you want. you want 1.5% of 200 feet in inches? if so, then we have

200 X 12=2,400 inches

.015 X 2,400=36 inches

CPhill: Please verify this.

z = 21/19

Your answer is:

x = 8

12=27.73cos(x)

cos(x)=12/27.73=.432744

x=64.36

CPhill: Please verify this.

=2 sqrt(15) a^8

5(2x-3)≥15x : Here is an inequality. You solve it as follows:

5(2x-3)≥15x   simplify the left side

10x - 15 ≥ 15x    add 15 to both sides........subtract 15x  from both sides

-5x ≥ 15    divide both sides by -5 and reverse the inequality sign

x  [less than or equal to] -3

Not allowed to divide ANYTHING by 0.

=58.67 ft/s  (feet per second)