Answers with Explanation.
i. If we raise a number to an exponent of 1, we get the same number.
![{10}^{1} = 10](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B1%7D%20%20%3D%2010)
ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.
![{10}^{2} = 10 \times 10 = 100](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B2%7D%20%20%3D%2010%20%5Ctimes%2010%20%3D%20100)
iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.
![{10}^{3} = 10 \times {10}^{2} = 10 \times 100 = 1000](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B3%7D%20%20%3D%2010%20%5Ctimes%20%20%7B10%7D%5E%7B2%7D%20%20%3D%2010%20%5Ctimes%20100%20%3D%201000)
iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.
![{10}^{4} = 10 \times {10}^{3} = 10 \times 1000 = 10000](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B4%7D%20%20%3D%20%2010%20%5Ctimes%20%7B10%7D%5E%7B3%7D%20%3D%2010%20%5Ctimes%201000%20%3D%20%2010000)
v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.
![{10}^{5} = 10 \times {10}^{4} = 10 \times 10000 = 100000](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B5%7D%20%20%3D%2010%20%5Ctimes%20%20%7B10%7D%5E%7B4%7D%20%20%3D%2010%20%5Ctimes%2010000%20%3D%20100000)
![{10}^{5} = 100000](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B5%7D%20%20%3D%20100000)
vi. Recall that,
![{a}^{ - m} = \frac{1}{ {a}^{m} }](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B%20-%20m%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7Ba%7D%5E%7Bm%7D%20%7D%20)
We apply this law of exponents to obtain,
![{10}^{ - 2} = \frac{1}{{10}^{2} } = \frac{1}{100}](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B%20-%202%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%7B10%7D%5E%7B2%7D%20%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B100%7D%20)
vii. We apply
![{a}^{ - m} = \frac{1}{ {a}^{m} }](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B%20-%20m%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7Ba%7D%5E%7Bm%7D%20%7D%20)
again to obtain,
Answer:
<u>(2) x </u>
<u> 4</u>
Step-by-step explanation:
Given the sqrt(x), x
zero
So, given sqrt(x -4), x -4
0
Now solve for x
x - 4
0
x
4
To find the probability that she develops lung cancer given that she smokes, multiply the two probabilities together:
4/9 x 3/10 = (4 * 3) / (9*10) = 12/90 = 2/15
Option B is the correct answer because you start with 15 gallons (y-intercept), and the car consumes or decreases at 0.03 gal/per mile (your slope or m).