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Nezavi [6.7K]
2 years ago
11

Rewrite each expression using each base only once.

Mathematics
1 answer:
mezya [45]2 years ago
8 0
Rewrite each expression using each base only once. 

 (-6)^12 * (-6)^3 * (-6)^2 
 (-6)^(12+3+2)
 (-6)^(17)
 Answer: 
 (-6)^(17)


 2^2 * 2^7 * 2^0 
 (2)^(2+7+0)
 (2)^(9)
 Answer: 
 (2)^(9)

 Simplify each expresion.

 5c^4 * c^6 
 5*c^(4+6)
 5*c^(10)
 Answer:
 5*c^10
 (-2.4n^4)(2n^-1)
 (-2.4*2)(n^4)(n^-1)
 (-2.4*2)(n^(4+(-1))
 (-4.8)(n^(4-1))
 (-4.8)(n^(3))
 Answer: 
 (-4.8)(n^(3))

 (4c^4)(ac^3)(-3a^5c)
 ((4)*(-3))*(c^(4+3+1))*(a^(1+5))
 (-12)*(c^(8))*(a^(6))
 Answer: 
 (-12)*(c^8)*(a^6)

 a^6b^3 * a^2b^-2
 (a^(6+2))*(b^(3+(-2)))
 (a^(8))*(b^(3-2))
 (a^(8))*(b^(1))
 (a^8)*(b)
 Answer: 
 (a^8)*(b)

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Written as a simplified polynomial in standard form, what is the result when (3x-1)^2 is subtracted from 4?
nikklg [1K]

Answer:

3(x-1)x(3x+1)

Step-by-step explanation:

3 0
2 years ago
Determine the average speed of the current in a river if a boat moves at 20 miles/hour in still water and takes 3 hours to trave
Taya2010 [7]

The speed of the current in a river is 6 miles per hour

<em><u>Solution:</u></em>

Given that,

Speed of boat in still water = 20 miles per hour

Time taken = 3 hours

Distance downstream = 78 miles

To find: Speed of current

<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then:  </u></em>

Speed downstream = (u + v) km/hr

Speed upstream = (u - v) km/hr

<em><u>Therefore, speed downstream is given as:</u></em>

\text{ speed downstream } = \frac{distance}{time} = \frac{78}{3}\\\\\text{ speed downstream } = 26 \text{ miles per hour }

We know that,

Speed downstream = (u + v)

26 = 20 + v

v = 26 - 20

v = 6 miles per hour

Thus speed of the current in a river is 6 miles per hour

3 0
3 years ago
What is 64 mi/h =_____ft/s ?
victus00 [196]
31.288889,because hours have 60 min,1 min have 60 seconds so you will do 64/60=1.066666667/60=.0177777778
6 0
3 years ago
Given a line passes through point (5,8) and the origin, find the equation of the line.<br> y=
SOVA2 [1]

Answer:

y = 8/5x

Step-by-step explanation:

I'm assuming that they're asking for the equation in point-slope form.

The formula is y=mx+b where:

m = slope

b = y intercept

However, the y intercept is just (0,0) so b = 0

To find the slope we already have 2 given points: (0,0) and (5,8)

To find slope you do rise/run and you get 8/5

Substitute the slope & y intercept in the formula:

y = 8/5x

Let me know if I'm wrong!!

6 0
2 years ago
Read 2 more answers
Use x = 3 to identify the value of each expression.<br><br> Exponent Value of expression
natta225 [31]
Dddd$$c &fguhvhjhhujgih’h
5 0
3 years ago
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