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Reil [10]
3 years ago
6

Simplify. y 5 · y 3 ÷ y 2

Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0
Y^5 x y^3 /y^2
y^8/y^2
y^4
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I need some help please I would greatly appreciate it
Mars2501 [29]

Answer:

B

Step-by-step explanation:

B is correct.  Writing 16 pages every day sounds possible and desirable.  This is an arithmetic sequence.

4 0
3 years ago
Solve the system <br> 2x+2y+z=-2 <br> -x-2y+2z=-5<br> 2x+4y+z=0
drek231 [11]

The values of (x,y,z) are (3,-1,-2) , if the given are equations 2x+2y+z=- 2,-x-2y+2z=-5 and 2x+4y+z=0.

Step-by-step explanation:

The given is,

                          2x+2y+z=- 2.......................................(1)

                         -x-2y+2z=-5......................................(2)

                            2x+4y+z=0.........................................(3)

Step:1

           Equation (2) is multiplied by -1            ( Eqn(2) × -1 )

                                         x+2y-2z=5.............................(4)

          Subtract the equation (1) and (4)

                                        2x+2y+z=- 2

                                         x+2y-2z=5

                 ( - )

           (2x-x)+(2y-2y)+(z+2z)=(-2-5)

                                                  x+3z=-7......................(5)

Step:2

          Equation (2) is multiplied by -2                 ( Eqn(2) × -2)

                                        2x+4y-4z=10........................(6)

         Subtract equation (6) and (3),                  

                                        2x+4y-4z=10

                                         2x+4y+z=0

                   ( - )

       (2x-2x)+(4y-4y)+(-4z-z)= (10-0)

                                                     -5z=10

                                                         z = - \frac{10}{5}

                                                         z = -2

         From the equation (5),

                                                  x+3z=-7  

                                          x+(3)(-2)=-7

                                                           x = -7+6

                                                            x = -1

         From equation (1),

                                            2x+2y+z=- 2

          Substitute x and z values,

                               (2)(-1)+2y+(-2)=-2

                                                     2y - 4=2

                                                           2y=4-2

                                                           2y=2

                                                            y=\frac{2}{2}

                                                             y = 1

Step:3

                Check for solution,

                                  -x-2y+2z=-5

                Substitute x,y and z values,

               -(-1)-(2)(1)+(2)(-2)=-5

                                         1-2-4=-5

                                                    -5 = -5

Result:

              The values of (x,y,z) are (3,-1,-2) , if the given are equations 2x+2y+z=- 2,-x-2y+2z=-5 and 2x+4y+z=0.

8 0
3 years ago
Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table shows
Paul [167]

The value of cement mixer after t year is f(t) = 54,205(0. 87)^{t}

Given to us

The value of cement mixer when bought, P= $ 54,205

the value of cement mixer after 1 year, P_1=   $ 47,158. 35

the value of cement mixer after 2 year,P_2=  $ 41,027. 76

To find out depreciation we can use the formula for depreciation,

P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years

By putting the value, in the formula we get,

P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13

Therefore, putting the value of r and P in depreciation formula for t years we get,

P_n= P(1-r)^n

f(t) = 54,205(0. 87)^{t}

Hence, the value of cement mixer after t year is f(t) = 54,205(0. 87)^{t}.

To know more visit:

brainly.com/question/3023490

8 0
2 years ago
List all the factors of 16​
Natasha2012 [34]

1 x 16 , 2 x 8 , 4 x 4

4 0
3 years ago
If a measured distance of 5 inches on a map respresents an actual distance of 3 miles, what is the fractional scale of the map?
OverLord2011 [107]
5 inches: 3 miles
1 inch: 0.6 miles
8 0
3 years ago
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