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Karolina [17]
3 years ago
8

What is the value of n in the equation 2.3 × 10 9power = (1 × 10 3power)(2.3 × 10n)

Mathematics
1 answer:
Amanda [17]3 years ago
7 0
Hello,

2.3 x 10^9 = ( 1 x 10^3) ( 2.3 x 10^n) 

Solution:

Take the logarithm of both sides of the equation to remove the variable from the exponent. 

n=6


Faith xoxo
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Piecewise Function is like multiple functions with a speific/given domain in one set, or three in one for easier understanding, perhaps.

To evaluate the function, we have to check which value to evalue and which domain is fit or perfect for the three functions.

Since we want to evaluate x = -8 and x = 4. That means x^2 cannot be used because the given domain is less than -8 and 4. For the cube root of x, the domain is given from -8 to 1. That meand we can substitute x = -8 in the cube root function because the cube root contains -8 in domain but can't substitute x = 4 in since it doesn't contain 4 in domain.

Last is the constant function where x ≥ 1. We can substitute x = 4 because it is contained in domain.

Therefore:

\large{  \begin{cases} f( - 8 ) =   \sqrt[3]{ - 8}  \\ f(4) = 3 \end{cases}}

The nth root of a can contain negative number only if n is an odd number.

\large{  \begin{cases} f( - 8 ) =   \sqrt[3]{ - 2 \times -  2 \times   - 2}  \\ f(4) = 3 \end{cases}} \\  \large{  \begin{cases} f( - 8 ) =  - 2\\ f(4) = 3 \end{cases}}

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width= 4

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4 x 6 x 4 = 96

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height= 2

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width= 4

The number of cubes would be the result of the multiplication of the side measures. Doing so, we have:

2 x 3 x 4 = 24

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height= 4

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The number of cubes would be the result of the multiplication of the side measures. Doing so, we have:

4 x 8 x 6 = 192

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Ainat [17]

Answer:

<em>Option A, Option C, Option E</em>

Step-by-step explanation:

The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.

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1000 + 200 = 1200 square cm,\\Option A - Correct!

The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;

20 * 60 = 1200 square cm,\\Option B - Correct!

Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!

Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!

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