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kolbaska11 [484]
3 years ago
14

The vector a,b and c are given as a=2i+3j-4k. b =5i+3j+7k. c =6i+2j-k

Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0
Here you are! Hope you can understand it :)

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Explain why the square root of a number is defined to be equal to that number to the 1/2 power
Snezhnost [94]

9514 1404 393

Answer:

  (x^(1/2))(x^(1/2)) = x^(1/2 +1/2) = x^1 = x

Step-by-step explanation:

The rule of exponents is ...

  (x^a)(x^b) = x^(a+b)

From which ...

  (x^a)(x^a) = x^(a+a) = x^(2a)

So, if we want two identical factors that have a product of x = x^1, then the exponents of those factors will be such that ...

  x^(2a) = x^1

  2a = 1

  a = 1/2

The square root is defined as one of two identical factors that have a product equal to the specified value. That is ...

  (√x)(√x) = x

Above, we have shown that ...

  (x^(1/2))(x^(1/2)) = x

so, we can conclude ...

  √x = x^(1/2)

_____

<em>Additional comment</em>

In like fashion, we can show that the n-th root of a number is the same as that number to the 1/n power. It's really a matter of definition. Since the square of x^(1/2) is x, we call x^(1/2) the square root. It is used commonly enough that it has its own symbol: √x.

8 0
3 years ago
Can someone please help me with this question ASAP!! 'what is the gradient of the blue line?'
harkovskaia [24]

Answer:

First graph is 1/4

Second graph is 2

let me know if you need the steps

7 0
3 years ago
A woman bought 100 Christmas cards. For the ones that sing a song when you open them, she paid 30 cents each. For the rest she p
lapo4ka [179]
.05c+.3s=10.25, c+s=100, c=100-s  (c is for cards that don't sing and s is for those that do :P)

.05c+.3s=10.25 and c=100-s makes the equation become:

.05(100-s)+.3s=10.25

5-.05s+.3s=10.25

.25s=5.25

s=21, and since c=100-s

c=79

So she bought 21 of the more expensive singing cards...
8 0
3 years ago
Read 2 more answers
What is .1664 as fraction?
Yanka [14]
104/625 is expressed as a fraction and is in the simplest form
5 0
3 years ago
A researcher has collected the results of a survey where the participants were asked how many hours of T.V. they watch each day.
Zina [86]

Answer: c. Describe the data

Step-by-step explanation:

Description of data involves the use of descriptive statistics to analyse/summarize a set of data (from samples) generated during a research.

Some of the process involved in the description of data involves the measure of central tendency ( averages, mean, median mode) and also measure of dispersion and graphing. Therefore, the case above described the data collected.

7 0
3 years ago
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