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3 years ago

Please simplify 4a^3 x b^3 / 2ab^2

Mathematics

1 answer:

DedPeter [7]3 years ago

6 0

Answer:

2a^4b^2

Step-by-step explanation:

Simplify —

(((4 • (a3)) • —) • a) • b

((22a3 • —) • a) • b

3.1 22 divided by 21 = 2(2 - 1) = 21 = 2

(2a3b • a) • b

4.1 b1 multiplied by b1 = b(1 + 1) = b2

2a^4b^2

Hope this helps, have a nice day/night! :D

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Two equations are given below:

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Let m=n-4
n - 4 + 5n = 20
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4 years ago

Graph the line whose y-intercept is 9 and whose x-intercept is -7

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y-intercept = 9 → (0, 9)

x-intercept = -7 → (-7, 0)

Look at the picture.

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3 years ago

An initial amount of 180 grows at a rate of 22% every month. Write an exponential equation for the amount y after x months

il63 [147K]

Answer:

An initial amount of 180 grows at a rate of 22% every month.

=> The equation for the amount y after x months:

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Hope this helps!

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3 years ago

What is the solution to the system of equations? y = x +2 y = 3x -2

Mrrafil [7]

Answer:

x=2 and y= 4

Step-by-step explanation:

y = x +2 ----------(i)

y = 3x -2--------(ii)

Now, comparing (i) and (ii)

x+2= 3x-2

=>x-3x = -2-2

=>-2x= -4

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=>x= 2

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y= x+2 = 2+2= 4

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3 years ago

A box contains 6 nuts, 8 bolts, and 4 screws. If 3 objects are selected in succession randomly, what is the probability of selec

olya-2409 [2.1K]

The answer is A. 8/243

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6 nuts + 8 bolts + 4 screws = 18 objects

The probability of choosing a nut is: 6/18 (since there are 6 nuts of total 18 objects).
The probability of choosing a bolt is: 8/18 (since there are 6 bolts of total 18 objects).
The probability of choosing a screw is: 4/18 (since there are 4 screws of total 18 objects).

Because replacement occurs each time, there are always 18 objects. Also, since selecting a nut, a bolt, and a screw occurs together, we will use the multiplication rule and multiply the probabilities of events occurring together:
$P= \frac{6}{18} *\frac{8}{18} *\frac{4}{18} =\frac{1}{3} *\frac{4}{9} *\frac{2}{9} =\frac{8}{243}$

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3 years ago

Read 2 more answers