A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

9,726,000 in scientific notation is 9.726 x 10⁶

If 90% of the town's 24,000 voters cast ballots the number of votes cast is:

(\( \frac{90}{100} \)) x 24,000 = \( \frac{2,160,000}{100} \) = 21,600

The mayor got 60% of the votes cast which is:

(\( \frac{60}{100} \)) x 21,600 = \( \frac{1,296,000}{100} \) = 12,960 votes.

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-5c⁶ x 7c⁴
(-5 x 7)c^{(6 + 4)}
-35c¹⁰

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{45}{11} \) = 4\(\frac{1}{11}\)

So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.

First, solve for \( \left|y + 9\right| \):

\( \left|y + 9\right| \) + 6 = -2
\( \left|y + 9\right| \) = -2 - 6
\( \left|y + 9\right| \) = -8

The value inside the absolute value brackets can be either positive or negative so (y + 9) must equal - 8 or --8 for \( \left|y + 9\right| \) to equal -8:

So, y = -1 or y = -17.