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Alenkinab [10]
3 years ago
7

Write the equivalent expression to (52 – 3r”) – (5x – 2) (10x + 7x”) in standard form:

Mathematics
1 answer:
topjm [15]3 years ago
3 0

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Step-by-step explanation:

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6200.07 = 6.2 × 10^c + 7 × 10^d<br> Work out the values of c and d.
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Answer: We have c = 3 and d = -2

Step-by-step explanation:

We want to solve the equation:

6200.07 = 6.2x10^c + 7x10^d

First, we can separate the left number into two pieces:

6200.07 = 6200 + 0.07 = 6.2x10^c + 7x10^d

Now we can solve it as:

6200 = 6.2x10^c

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1000 = 10^c

now we can use that if y = a^x, then ln(y)/ln(a) = x

here we have:

c = ln(1000)/ln(10) = 3

and

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0.07/7 = 10^d

0.01 = 10^d

d = ln(0.01)/ln(10) = -2

 

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