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saul85 [17]
3 years ago
10

Simplify completely: Show all work for full credit.

Mathematics
1 answer:
solong [7]3 years ago
6 0

Answer:

3 {x}^{3}

Step-by-step explanation:

( \frac{81 {x}^{12} }{3 {x}^{3} }  {)}^{ \frac{1}{3} }

( \frac{27 {x}^{12} }{ {x}^{3} }  {)}^{ \frac{1}{3} }  = (27 {x}^{9}  {)}^{ \frac{1}{3} }

\sqrt[3]{27 {x}^{9} }

= 3 {x}^{3}

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3a + 2b = c<br><br> b = c - (3a - 2)<br> b = (c - 3a)/2<br> b = (3a - c)/2
Lina20 [59]

Answer:3a + 2b = c

2b = c - 3a

b = (c - 3a)/2

7 0
3 years ago
What is 27 multiplied by 36 worked out?
trapecia [35]
    1
    4
    36
    27
 x___ 
    252
    72
   _____
    972
7 0
3 years ago
On an interval of [0, 2π), can the sine and cosine values of a radian measure ever be equal? If so, enter the radian measure(s)
Lisa [10]

Answer:

Yes, they are equal in the values (in radians):

π/4, 5π/4

If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included

Step-by-step explanation:

Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).

The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.

If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.  

6 0
4 years ago
Write a formula for the maximum number of segments determined by n points
jeyben [28]
Let n = the number of points
(x-1) + ... (x-x)

The last term will always be 0, when you reach that, stop.

ex. 1pt: 1-1=0
      2pt: (2-1) + (2-2) = 1
      3pt: (3-1) + (3-2) + (3-3) = 3

7 0
3 years ago
Read 2 more answers
For every 10 middle school students in the US,6 play sports.There are 956 students at CMS.How many play sports
Amanda [17]

Answer:

about 96 students

Step-by-step explanation:

round 956 to 960

divide 960 by 6

96

8 0
3 years ago
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