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3 years ago

In your own words, explain what a rational expression is and give and example of one.

Mathematics

1 answer:

patriot [66]3 years ago

8 0

Answer:

A rational expression is when the numerator and the denominator are polynomials. An example is 5/x − 2

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Describe how to write 8,231,000,000 in scientific notation.

antiseptic1488 [7]

Answer:

Step-by-step e you would move the numbers in terms of exponents of 10. To write a number in scientific notation, move the decimal point to the right of the first digit in the number.

7 0

2 years ago

Which set of numbers is correctly ordered from greatest to least?

shepuryov [24]

Answer:

Step-by-step explanation:

Here is the corrected question and options:

Option 1:

$7\frac{1}{3} , \frac{221}{30} , 7.36, 3.16\sqrt{2e}$

Option 2:

$7\frac{1}{3} , 7.36 , \frac{221}{30} , 3.16\sqrt{2e}$

Option 3:

$3.16\sqrt{2e}, 7.36 , \frac{221}{30} , 7\frac{1}{3}$

Option 4:

$3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}$

Solution:

Lets write each of the above given numbers in a simplified form:

$7\frac{1}{3}$

Simplify this by converting it into a decimal form:

This becomes:

(3*7+1) / 3 = (21 + 1) / 3 = 22/3 = 7.333333

$7\frac{1}{3}$ = 7.3

$\frac{221}{30}$

Simplify this by converting it into a decimal form:

This becomes:

221/30 = 7.3666666667

So,

$\frac{221}{30}$ = 7.367

$7.36$

This number comes with a bar sign on .36 which means that the number has a non terminating repeating decimal expansion as 7.3636363636...

So after rounding it off this becomes:

7.36

$3.16\sqrt{2e}$

Simplify this by converting it into a decimal form:

The value of e = 2.718

This becomes:

3.16 $\sqrt{2*2.718}$

= 3.16 (√5.436)

= 3.16 * 2.331523

= 7.3679949818

= 7.368

$3.16\sqrt{2e}$ = 7.368

7.367995

Now we get the numbers in decimal form:

$7\frac{1}{3}$ = 7.333333 = 7.3

$\frac{221}{30}$ = 7.3666666667 = 7.367

7.36 = 7.3636363636

$3.16\sqrt{2e}$ = 7.3679949818 = 7.368

Now lets order the numbers from greatest to least:

$3.16\sqrt{2e}$

$\frac{221}{30}$

7.36

$7\frac{1}{3}$

So the correct option is:

Option 4

$3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}$

7 0

3 years ago

MATH PLS HELPPP BRANLIETS 5 POINTS!!!!!!!!!!

Gwar [14]

Answer:

Step-by-step explanation:

I think it is A but I'm not 100% sure

8 0

3 years ago

Read 2 more answers

the time t required to cut the grass in a park varies inversely as the number of workers cutting the grass w. If 6 workers can c

mafiozo [28]

24 = 3w
w = 8 workers

3 0

2 years ago

Suppose speeds of vehicles traveling on a highway have an unknown distribution with mean 63 and standard deviation 4 miles per h

Mashutka [201]

Answer:

The standard deviation for the sample mean distribution=0.603

Step-by-step explanation:

We are given that

Mean, $\mu=63$

Standard deviation, $\sigma=4$

n=44

We have to find the standard deviation for the sample mean distribution using Central Limit Theorem for Means.

Standard deviation for the sample mean distribution

$\sigma_x=\frac{\sigma}{\sqrt{n}}$

Using the formula

$\sigma_x=\frac{4}{\sqrt{44}}$

$\sigma_x=\frac{4}{\sqrt{2\times 2\times 11}}$

$\sigma_x=\frac{4}{2\sqrt{11}}$

$\sigma_x=\frac{2}{\sqrt{11}}$

$\sigma_x=0.603$

Hence, the standard deviation for the sample mean distribution=0.603

6 0

2 years ago