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lawyer [7]
2 years ago
14

Which number is equivalent to 2^−5⋅ 3 ⋅ 2^2 ⋅ 3^3? A. 648 B. 216 C. 81/8 D. 27/8

Mathematics
1 answer:
sesenic [268]2 years ago
3 0

2^{-5} \cdot 3 \cdot 2^2 \cdot 3^3\\\\=2^{-5 +2} \cdot 3^{1+3}\\\\=2^{-3} \cdot 3^4\\\\=\dfrac{3^4}{2^3}\\\\=\dfrac{81}{8}\\\\\\\text{So, the answer is C.}

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Can someone help me with 1-142 all the way to 1-144??
mezya [45]

CL.1.142):

A):      

x5 ==>      4 boxes  =   3ft   <==== x5

20 boxes   =       ?  ft

20 boxes  is    15 ft. high



B):   x3  ===>   4 boxes     =    3ft.  <==== x3

   ?   boxes           =          9ft.

       12 boxes  will fit in one stack.



c):  CL.143

 Perimeter  =     15  +  29  +  9  +  11  +  6  +  18   =====>  88m

A1    =    b  *   h

(18)(15)  

270m^2


A2    =   b  *  h

(11)(9)

99

Total  Area ======>   270    +    99   ======>  369m^2









CL.1-144

1/4    +   1/4   +   1/5     =    5/20    +   5/20   +   4/20    ====>    14/20

1/4  *    5/5  =====>  5/20

1/5   *    4/4    =====>  4/20

14/20      +      ?/20       =      20/20

?      =       6  Missing    Section

6/20      ======>     3/10





CL-1.145

A):   40/100       =     4/10   ====>   2/5

0.4            ========>    40%



B):    1/6  ======>   .00000

0.16 (Repeating 6)  ======>  16.6%



C):   37.5/100     =    375/1000     =======>     3/8

0.375      =========>   37.5%





CL-1.146

ADD:   1/6   +   1/2   show all steps:

1/6   +   1/2

1/6    +    3/6

1   +   3 / 6

4/6  =======>    2/3     =======>   Decimal:   =======>   0.666667






Hope that helps!!!!                                   : )


5 0
3 years ago
Determine (a) the slope of the line parallel to the line whose slope is m=2 and (b) the slope of the line perpendicular to the l
kotykmax [81]

Answer:

(b) \displaystyle -\frac{1}{2} = m

(a) \displaystyle 2 = m

Step-by-step explanation:

Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], whereas Parallel Lines have SIMILAR <em>RATE OF CHANGES</em> [SLOPES].

I am joyous to assist you anytime.

7 0
3 years ago
128 is 74% of what number
GarryVolchara [31]
Percent means parts out of 100
74%=74/100=0.74


'of' means multiply


so
128 is 74% of what means
128=0.74 times what
divide both sides by 0.74
172.97297297297297297297297297297=what
the number is about 173

5 0
3 years ago
Steve is m years old.his brother jack is n years older than steve, how old will jack be in 2 years.
Alexxandr [17]

(2 + n) + m

Step-by-step explanation:

Steve is m

Jack is n

old Wil be in 2 years

= (2+N) + m

4 0
2 years ago
Please help me on this question and explain how you got your answer
Vsevolod [243]

Answer:

Step-by-step explanation:

4 0
3 years ago
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