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scoray [572]
3 years ago
6

Multiply (1.2 ⋅ 1028) ⋅ (3 ⋅ 10−19). Express the answer in scientific notation.

Mathematics
2 answers:
insens350 [35]3 years ago
7 0

Answer: a) 3.6\cdot10^9


Step-by-step explanation:

The given multiplication problem is

(1.2\cdot10^{28})(3\cdot10^{-19})

First we open the parenthesis, and then multiply corresponding terms.

1.2\cdot10^{28}\cdot3\cdot10^{-19}\\=(1.2\cdot3)\cdot(10^{28}\cdot10^{-19})\\=3.6\cdot10^{28+(-19)}.....[\text{by using law of exponents }a^ma^n=a^{m+n}]\\=3.6\cdot10^{28-19}\\=3.6\cdot10^9

Thus, a) is the right answer.

iris [78.8K]3 years ago
5 0
The answer would be A. 3.6 × 10^9
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The nth term of a sequence is given by 3n² + 11 Calculate the difference between the 6th term and the 9th term of the sequence.​
katovenus [111]

The difference between the 6th term and the 9th term of the sequence is 135

<h3>How to determine the difference</h3>

Given that the nth term is;

3n² + 11

For the 6th term, the value of n is 6

Let's solve for the 6th term

= 3( 6)^2 + 11

= 3 × 36 + 11

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For the 9th term, n = 9

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Thus, the difference between the 6th term and the 9th term of the sequence is 135

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2 years ago
5#The distribution of scores on a standardized aptitude test is approximately normal with a mean of 480 and a standard deviation
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We want to find the value that makes

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Then, using the z-score we can find the minimum score needed, remember that

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Rounding to the nearest integer the minimum score needed is 568, if you get 568 you are at the top 20.1%.

7 0
1 year ago
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