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3 years ago

What is 48,100,000,000,000 in scientific notation? 4.81×10−11 4.81×10−13 4.81×1011 4.81×1013

Mathematics

2 answers:

Hitman42 [59]3 years ago

6 0

The fourth option is the correct one

SSSSS [86.1K]3 years ago

4 0

Given number is 4,8100,000,000,000.

In this number of zero is 11. So we can write it as $481 * 10^{11}$

But for scientific notation we will enter decimal after two place in reverse direction.For this we will also multiply number by 10^2.

So number will be $4.81 * 10^{11} *10^2 = 4.81 * 10^{13}$

So fourth option is correct.

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Find the first three terms in the expansion , in ascending power of x , of (2+x)^6 and obtain the coefficient of x^2 in the expa

Nataly_w [17]

Answer:

The first 3 terms in the expansion of $(2 + x)^{6}$ , in ascending power of x are,

$64 , 192 \times x^{1} {\textrm{ and }}240 \times x^{2}$

coefficient of $x^{2}$ in the expansion of $(2+x - x^{2})^{6}$ = (240 - 192) = 48

Step-by-step explanation:

$(2+x)^{6}$

= $\sum_{k=0}^{6}(6_{C_{k}} \times x^{k} \times 2^{6 - k})$

= $6_{C_{0}} \times x^{0} \times 2^{6} + 6_{C_{1}} \times x^{1} \times 2^{5} + 6_{C_{2}} \times x^{2} \times 2^{4}$ + terms involving higher powers of x

= $64 + 192 \times x^{1} + 240 \times x^{2}$ + terms involving higher powers of x

so, the first 3 terms in the expansion of $(2 + x)^{6}$ , in ascending power of x are,

$64 , 192 \times x^{1} {\textrm{ and }}240 \times x^{2}$

Again,

$(2+x - x^{2})^{6}$

= $\sum_{k=0}^{6}(6_{C_{k}} \times (2 + x)^{k} \times (-x^{2})^{6 - k})$

Now, by inspection,

the term $x^{2}$ comes from k =5 and k = 6

for k = 5, the coefficient of $x^{2}$ is , $(-32) \times 6$ = -192

for k = 6 , the coefficient of $x^{2}$ is, $6_{C_{2}} \times 2^{4}$ = 240

so, coefficient of $x^{2}$ in the final expression = (240 - 192) = 48

3 0

3 years ago

I think of a number, add seven, then divide by five

djverab [1.8K]

Answer:

n + 7/5

Step-by-step explanation:

<u>Solve</u>

Let "n" be the varable.

Add 7 = +

Then, Divideby 5 = ÷

Therefore, the equation for this is n + 7 ÷ 5

7 0

3 years ago

What is the common difference of the arithmetic sequence graphed below?

galben [10]

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3 0

3 years ago

Read 2 more answers

I need help what is 1/3x-3?

lilavasa [31]

Answer:

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