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EastWind [94]
3 years ago
12

0.00003 2 x 10-5 = ?

Mathematics
1 answer:
loris [4]3 years ago
5 0

Answer:

0.00003=3×10^{-5}

2×10^5 = 200,000

Step-by-step explanation:

When working with scientific notation, you are either given a decimal or whole number. The point of scientific notation is to rewrite a number in a more simplified form.You need to change the number so that there is one number on the left side of the decimal. An exponent is used to describe the change in the number. For example:

0.00003

In order to get one number to the left of the decimal, you need to move the decimal to the right 5 spaces. Since the zeros are to the left of the primary number (3), the exponent will be negative. The exponent itself will be the spaces you moved:

3×10^{-5}

The ten is used because of the decimal places you are moving. When you multiply a number by 10, you add a zero. For example:

2×10^5

Since there is a 10, we will be adding in zeros. The exponent determines how many zeros will be added. Since it is a positive number, the numbers will be to the right of the primary number:

200,000

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Step-by-step explanation:

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7 0
3 years ago
Determine whether the statements are True or False. Justify your answer with an explanation.
frez [133]

Problem 1

<h3>Answer: False</h3>

---------------------------------

Explanation:

The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.

So,

f(x) = x+1

f( g(x) ) = g(x) + 1 .... replace every x with g(x)

f( g(x) ) = 6x+1 ... plug in g(x) = 6x

(f o g)(x) = 6x+1

Now let's flip things around

g(x) = 6x

g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)

g( f(x) ) = 6(x+1) .... plug in f(x) = x+1

g( f(x) ) = 6x+6

(g o f)(x) = 6x+6

This shows that (f o g)(x) = (g o f)(x)  is a false equation for the given f(x) and g(x) functions.

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

Problem 2

<h3>Answer: True</h3>

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Explanation:

Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.

For example, let

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

g(x) = -2

The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.

So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).

7 0
3 years ago
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Answer:

\frac{2 ln(5) }{3 ln(2) }

Step-by-step explanation:

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4 0
2 years ago
Evaluate this. <br><br> SHOW FULL WORK!!!
faust18 [17]
Hi there!

2³ [ (15 - 7) × (4 ÷ 2) ] = 8 [ 8 × 2 ] = 8 × 16 = 128

Hence,
The required answer is 128

~ Hope it helps!
4 0
4 years ago
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