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charle [14.2K]
3 years ago
14

Why is any number to the zero power equal 1 example for kids?

Mathematics
1 answer:
professor190 [17]3 years ago
4 0
Think of the power series ^2, ^3 etc as defining the characteristics of the <em>line on a graph</em> that the power function draws.

The awful reality is that the logical answer is buried in the axioms of set theory. So instead of having to teach kids axioms and derivations, just draw the lines on a graph as i described.

^0 = a line with zero slope, ^1 = a straight line with a slope of 1, ^2 = an exponential line... etc...

For kids, relating the power series to the shapes of lines on a graph will also help them later on when they learn about functions etc (like y = mx + c). Being able to associate the different powers with actual shapes on a graph will also help them to visualize relationships in physics, should they take that path. It's not the real truth, but a nice correlation with it's own merits.

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A police officer is chasing a purse-snatcher down a street. The thief starts 9 meters ahead of the officer and can run 20 meters
lions [1.4K]

Answer:

If you want them at the same exact point then since the theif is 9 steps ahead it

will take 3 seconds

Step-by-step explanation:

Robber:

<em>starts at 9</em>

<em>starts at 9add on 5 and you get 14</em>

<em>starts at 9add on 5 and you get 14add 5 more you get 19</em>

<em>starts at 9add on 5 and you get 14add 5 more you get 19and another 5 would give you 24</em>

Police:

<em>is</em><em> </em><em>at</em><em> </em><em>0</em><em> </em><em>meters</em><em> </em>

<em>add</em><em> </em><em>8</em><em> </em><em>any</em><em> </em><em>you</em><em> </em><em>get</em><em> </em><em>8</em>

<em>add</em><em> </em><em>8</em><em> </em><em>more</em><em> </em><em>and</em><em> </em><em>you</em><em> </em><em>get</em><em> </em><em>1</em><em>6</em>

<em>and</em><em> </em><em>another</em><em> </em><em>8</em><em> </em><em>would</em><em> </em><em>get</em><em> </em><em>you</em><em> </em><em>to</em><em> </em><em>2</em><em>4</em>

6 0
3 years ago
What should be subtracted from -8xy + 2x^2 + 3y^2 to get x^2 + 2
Minchanka [31]

Answer:

x^2 - 8xy + 3y^2 - 2

Step-by-step explanation:

(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2

- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2

- unknown = -x^2 + 8xy - 3y^2 + 2

Unknown = x^2 - 8xy + 3y^2 - 2

Check:

(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)

= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2

= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2

= x^2 + 2

8 0
3 years ago
A 3-kilogram bag of oranges costs $9.87. What is the unit price?
mixer [17]

Answer:

3.29

Step-by-step explanation:

6 0
3 years ago
Py+7=6y+q<br> what is the answer for this question (linear equations with unknown coefficients)?
Temka [501]
Assuming your solving for y:
py+7=6y+q
-6y -7 -6y -7
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divide both sides by p-6
y=(q-7)/(p-6)
3 0
3 years ago
Read 2 more answers
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mel-nik [20]

Answer:

y>0 Option D

Step-by-step explanation:

4 0
3 years ago
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