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3 years ago

What is 10³×10 to the negative 3 power

Mathematics

2 answers:

nydimaria [60]3 years ago

5 0

10^3 × 10^-3 = 10^0 = 1

Burka [1]3 years ago

4 0

Rule for when multiplying similar bases with exponents is:

(b^c)*(b^d)=b^(c+d)

In this case:

(10^3)*(10^-3)

10^(3-3)

10^0

1 (anything raised to the zero power is equal to one)

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Stretch your thinking Will you make a new ten to solve this problem? 59 + 17 explain

topjm [15]

Hey there! :D

So you're wondering if you can make a new ten in this problem, right? Well, lets find out! We can simply do<span> 59 + 17 = 59 + 1 + 16 = 60 + 16 = 76. When we did 59 + 1, that is a new ten then we added to 16. So yes, we did make a new ten in this problem. </span>

<span>Hope it helps! ;)</span>

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3 years ago

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Step-by-step explanation:

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13. How are squares and triangles the same? How are they different?

nignag [31]

Answer:

Squares and triangles are both polygons and right triangles and squares both have at least one right angle. They are different because squares have 4 sides and triangles have 3. Also, triangle have a total of 180 degrees while squares have a total of 360 degrees.

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2 years ago

If 32 teams participate in a standard single elimination tournament, how many games must be played to decide a champion?

SCORPION-xisa [38]

<h3>Answer: 31 games</h3>

======================================================

Explanation:

32/2 = 16 games will happen in round 1. Afterward, 16 teams are left.
16/2 = 8 games will happen in round 2. Afterward, 8 teams are left.
8/2 = 4 games happen in round 3.
4/2 = 2 games in round 4.
2/2 = 1 game as the final championship.

Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.

To get the total number of games played, we add up the quotients

16+8+4+2+1 = 31

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Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1

We can write that rule as

$\displaystyle \sum_{k=1}^{n}2^k = 2^{n+1}-1$

which is equivalent to

$\displaystyle \sum_{k=1}^{n}2^{k-1} = 2^n-1$

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4 years ago

A typical cell phone plan has a fixed base fee that’s includes a certain amounts of over a charge

Romashka [77]

The answer is 2)C=30+62(g-2)

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