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crimeas [40]
3 years ago
13

When this exponent is applied to a nonzero base, the result is always 1

Mathematics
2 answers:
aleksandrvk [35]3 years ago
4 0
<span>Question :Why is it that any number raised to the power zero is equal to 1 and not zero ?
<span>
Answer :</span><span>When a number is raise to the power 0, we are not actually multiplying the particular number by 0. For example, let us take 20. In this case we are not actually multiplying the number 2 by 0.

We define 20 = 1, so that each power of 2 is one factor of 2 larger than the last, e.g., 1,2,4,8,16,32...</span><span>This involves the rules of exponents particularly division. 

If a is a number and x and y are also numbers, then according to the rule of division for powers with the same base, 

a^x/a^y = a^(x - y).

It says the quotient of two powers with the same base is equal to the common base raise to the exponent equal to the difference between x and y. 

So, if x = y, then a^x/a^y = a^(x -y) = a^0 

But a^x is equal to a^y, since x = y; hence a^x/a^y = 1 

Therefore, by Transitive property of Equality, 

a^0 = 1 

Thus, this result says that number raised to the power zero is equal to 1.</span></span>
Free_Kalibri [48]3 years ago
4 0
When the exponent zero is applied to a nonzero base, the result is always 1.

1^0 = 1\\2^0=1\\3^0=1\\...
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Kaden works 5 days. The median number of hours he works is 3. The mean number of hours he works is 4.
alisha [4.7K]

Answer:

(a) 1, 2, 3, 6, 8

Step-by-step explanation:

Given

Median = 3

Mean = 4

Required

The sequence of hours worked each day

<em>See attachment for options</em>

From the question, we understand that:

Median = 3

This means that, the middle number is 3 (when sorted)

So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively

Next, is to determine the mean of (a) and (d)

The mean of a data is calculated as:

\bar x = \frac{\sum x}{n}

So, we have:

(a)

\bar x = \frac{1+ 2+ 3+ 6+ 8}{5}

\bar x = \frac{20}{5}

\bar x = 4

(d)

\bar x = \frac{1+ 2+ 3+ 4+ 5}{5}

\bar x = \frac{15}{5}

\bar x = 3

Option (a) is true, because it has:

Median = 3

Mean = 4

7 0
2 years ago
What’s (19x+3x)-(56-9x)=Y?
12345 [234]
12x - 56 = y. Hope it helps! :) If you could vote my answer as the brainiest, that would be awesome! :)
6 0
3 years ago
Read 2 more answers
This is probably very easy but I totally forgot (look at picture)
Darina [25.2K]
Coordinates for new triangle -

P’(-1,1)
Q’(-3,3)
R’(-3,1)
3 0
3 years ago
Read 2 more answers
Find the angles of x and y​
Gnesinka [82]

or, x=180

or,34=180

or,180-34

or x=146

Now,

or, y=146

or,18=146

or146-18

or, y=128

there is x is 34 and its all side angle is 180 degree So put x =180 and then put x value is 34 =180 and there is no values in front of 34 so there will be + and if +so in another side it will be - and then after put 180-34=146

5 0
3 years ago
Diego and Lin are drinking milkshakes. Lin starts with 12 ounces and drinks 1/4 an ounce per second. Diego starts with 20 ounces
sammy [17]

Answer:

Lin = 48 seconds  

Diego = 30 seconds  

Step-by-step explanation:

Hi, to answer this question we have to divide the total ounces of drink by the amount that each one drank per second, for each case.

Mathematically speaking:

Lin = 12 ounces / (1/4) ounces/second = 12/ (1/4) = 48 seconds  

Diego = 20 ounces / (2/3) ounces/second = 20/ (2/3) = 30 seconds  

Feel free to ask for more if needed or if you did not understand something.

3 0
3 years ago
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