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ladessa [460]
2 years ago
8

What is 0.0000000405 in standard notation

Mathematics
2 answers:
Svetradugi [14.3K]2 years ago
8 0
 0.0000000405 in <span>scientific </span>notation is 4.05 x 10^-8 

You would move the decimal until after the 4, which will be 8 times. And since the zeros are in front so the number is really small, the exponent will be a negative. 


nydimaria [60]2 years ago
3 0
<span>2. 405000000. hope that helped</span>
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Step-by-step explanation:

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The 4th term of an arithmetic sequence is 12 and the 8th term is 36. Find the 17th term of the sequence.
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Step-by-step explanation:

The formula for calculating the nth term of a sequence is given as :

t_{n} = a + ( n - d )

Where a is the first term

d is the common difference and

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This means that the 4th term of an arithmetic sequence will have the formula :

t_{4} = a + 3d

And the 4th term has been given to be , 12 ,substituting into the formula we have

12 = a + 3d .............................. equation 1

Also substituting for the 8th term , we have

36 = a + 7d .............................. equation 2

Combining the two equations , we have

a + 3d = 12  ................... equation 1

a + 7d = 36 ------------ equation 2

Solving the system of linear equation by substitution method , make a the subject of formula from equation 1 , that is

a = 12 - 3d ................... equation 3

substitute a = 12 - 3d into equation  2 , equation 2 then becomes

12 - 3d + 7d = 36

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subtract 12 from both sides

4d = 36 - 12

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divide through by 4

d = 6

substitute d = 6 into equation 3 to find the value of a, we have

a = 12 - 3d

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Therefore , the 17th term of the sequence will be :

t_{17} = a + 16d

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t_{17} = -6 + 96

t_{17} = 90

Therefore : the 17th term of the sequence is 90

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3 years ago
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