2 years ago

Can someone please help me.......

Mathematics

1 answer:

svetoff [14.1K]2 years ago

5 0

Point -2,-1 would change to -2,0. the area of the new rectangle is 10 square units

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One light-year equals 5.9 x 1012 miles. How many light-years are in 6.79

inna [77]

Option B

The number of light years in $6.79 \times 10^{16}$ miles is 11508 light years

Solution:

Given that,

One light-year equals 5.9 x 10^12 miles

Therefore,

$1 \text{ light year } = 5.9 \times 10^{12} \text{ miles }$

To find: Number of light years in $6.79 \times 10^{16}$ miles

Let "x" be the number of light years in $6.79 \times 10^{16}$ miles

Then number of light years in $6.79 \times 10^{16}$ miles can be found by dividing $6.79 \times 10^{16}$ miles by miles in 1 light year

$\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79 \times 10^{16}}{5.9 \times 10^{12}}\\\\\text{Use the law of exponent }\\\\\frac{a^m}{a^n} = a^{m-n}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79}{5.9} \times 10^{16-12}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 1.1508 \times 10^4\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 11508$

Thus number of light years in $6.79 \times 10^{16}$ miles is 11508 light years

3 0

2 years ago

The hawk population in a county is declining at a rate of 1.4% per year. the population was 3800 in the year 2016. which answer

Anika [276]

After a year the population will be 98.6% (100% - 1.4%) 98.6% as a decimal is 0.986 ... so after 1 year it will be: 

3800 x 0.986

after 2 years it will be:

3800 x 0.986 x 0.986...

after 3 years: 3800 x (0.986)^3

in 2018. And after 4 years it will be 3800 x (0.986)^4 = which is 3591.62724 or 3592