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3 years ago

Hi pls help. pls explain a bit thank you:)

Mathematics

1 answer:

DIA [1.3K]3 years ago

7 0

Answer:

$a^3b^2c^6$

Step-by-step explanation:

$n^x*n^y=n^{x+y}$

$a^6*a^{-3}*a^0=a^{6-3+0}=a^3$

$b^3*b^1*b^{-2}=b^{3+1-2}=b^2$

$c^4*c^2=c^{4+2}=c^6$

put it all together

$a^3b^2c^6$

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Consider the following "generic rectangle" where the area of each region is given. Write equivalent

marta [7]

Answer:

sum: 3x² -4x -4
product: (x -2)(3x +2)

Step-by-step explanation:

The areas of four regions are given. We can simply add them to find the sum. To express them as a product, we need to look at common factors.

The total of the given area expressions is ...

3x² +2x -6x -4 = 3x² -4x -4 . . . . sum

<h3>Product</h3>

Extending the table to show common factors of each row and column, we have ...

$\begin{array}{c|c|c|}&3x&2\\\cline{1-3}x&3x^2&2x\\\cline{1-3}-2&-6x&-4\\\cline{1-3}\end{array}$

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2 years ago

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Answer: it’s a

Step-by-step explanation:

8 0

3 years ago

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Solve the following inequality for x, then describe what the graph would look like.

Alex17521 [72]

Answer:

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4 0

3 years ago

Complete this conversion. given: 10 mm = 1 cm given: 100 cm = 1 m find: 7.5 m = ___ mm

krek1111 [17]

We have that
10 mm is equal to -------> 1 cm----> multiply by 100
10*100 mm is equal to -------> 1*100 cm
1000 mm is equal to -------> 100 cm
and
we know that
100 cm is equal to-------> 1 m
therefore
1000 mm is equal to -------> 100 cm
100 cm is equal to-------> 1 m

1000 mm is equal to--------> 1 m
X mm-----------------> 7.5 m
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the answer is
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4 years ago

The rate of U.S. per capita sales of bottled water for the period 2007–2014 could be approximated by s(t) = 0.25t2 ? t + 29 gall

julsineya [31]

Answer:

117 gallons

Step-by-step explanation:

The expression that describes the rate of U.S. per capita sales of bottled water for the period 2007–2014 is:

$s(t) = 0.25t^2-t+29$

Since t=0 at 2007. At 2009 and 2013, t is:

$t_1=2009-2007 = 2\\t_2=2013-2007 = 6$

The definite integral of the expression from t=2 to t=6 is:

$s(t) = 0.25t^2-t+29\\\int\limits^6_2 {s(t)} \, dt= \int\limits^6_2 {(0.25t^2-t+29)} \, dt\\\int\limits^6_2 {s(t)} \,dt= (\frac{t^3}{12} -\frac{t^2}{2}+29t +c)|^6_2 \\S(6) -S(2) = (\frac{6^3}{12} -\frac{6^2}{2}+29*6 +c) - (\frac{2^3}{12} -\frac{2^2}{2}+29*2 +c)\\S(6) -S(2) = 117.333\ gallons$

Rounded to the nearest gallon, the estimated total U.S. per capita sales of bottled water from the start of 2009 to the start of 2013 is 117 gallons.

6 0

3 years ago