Answer:
Scale of 181: 1
Step-by-step explanation:
The first thing to do is to pass the feet by the meter, to work in the same units and thus create a consistent scale:
We know that one foot equals 0.3048 meters, therefore:
8 feet * 0.3048 meters / 1 foot = 2.4384 meters
So the scale would be:
443.2 / 2.4384 = 181.75
Which means that it is best to make a scale of 181: 1
Where 181 meters from the Empire State Building would equal 1 meter at home 0 181 inches would equal 1 inch at home
Applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.
<h3>What are the Rules of Exponents?</h3>
Some of the rules of exponents to be applied are as follows:
![x^0 = 1\\\\x^m \times x^n = x^{(m + n)}\\\\x^{-m} = \frac{1}{x^m} \\\\x^m \div x^n = x^{(m - n)}\\\\](https://tex.z-dn.net/?f=x%5E0%20%3D%201%5C%5C%5C%5Cx%5Em%20%5Ctimes%20x%5En%20%3D%20x%5E%7B%28m%20%2B%20n%29%7D%5C%5C%5C%5Cx%5E%7B-m%7D%20%3D%20%5Cfrac%7B1%7D%7Bx%5Em%7D%20%5C%5C%5C%5Cx%5Em%20%5Cdiv%20x%5En%20%3D%20x%5E%7B%28m%20-%20n%29%7D%5C%5C%5C%5C)
<h3>What are Equivalent Expressions?</h3>
If two expressions have the same value, both are said to be equivalent expressions.
1. ![3^2 \times 3^{-5} = 3^{2 - 5}\\\\](https://tex.z-dn.net/?f=3%5E2%20%5Ctimes%203%5E%7B-5%7D%20%3D%203%5E%7B2%20-%205%7D%5C%5C%5C%5C)
![3^-3 = \frac{1}{3^3} = \frac{1}{27}](https://tex.z-dn.net/?f=3%5E-3%20%3D%20%5Cfrac%7B1%7D%7B3%5E3%7D%20%3D%20%5Cfrac%7B1%7D%7B27%7D)
Answer: H
2. 3³/6² = 27/36 = 3/4
Answer: R
3. ![\frac{3^2}{3^5} = 3^{2 - 5} = 3^{-3]} = \frac{1}{3^3} = \frac{1}{27}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E2%7D%7B3%5E5%7D%20%3D%203%5E%7B2%20-%205%7D%20%3D%203%5E%7B-3%5D%7D%20%3D%20%5Cfrac%7B1%7D%7B3%5E3%7D%20%3D%20%5Cfrac%7B1%7D%7B27%7D)
Answer: M
4. 7²/7² = 49/49 = 7° = 1
Answer: J
5. 8^-2 = 1/8² = 1/64
Answer: A
6. (4²)(4³) = 4^(2 + 3) = ![4^5](https://tex.z-dn.net/?f=4%5E5)
Answer: L
7. (3²)³ = 3²*³ = ![3^6](https://tex.z-dn.net/?f=3%5E6)
8. 4° × 4^-1 = 1 × 1/4 = 1/4
Answer: E
9.
= 1
Answer: U
10. ![(3^2)^{-1} = 3^{-2}](https://tex.z-dn.net/?f=%283%5E2%29%5E%7B-1%7D%20%3D%203%5E%7B-2%7D)
Answer: I
11.
= 1
Answer: D
12. ![y^{10} \div y^5 = y^{10 - 5} = y^5](https://tex.z-dn.net/?f=y%5E%7B10%7D%20%5Cdiv%20y%5E5%20%3D%20y%5E%7B10%20-%205%7D%20%3D%20y%5E5)
Answer: F
13.
= 8² = 64
Answer: S
14.
1/2³ × 1/3² = 1/8 × 1/9 = 1/72
Answer: O
15. ![\frac{3^2}{3^2} = 3^{2-2} = 3^0 = 1](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E2%7D%7B3%5E2%7D%20%3D%203%5E%7B2-2%7D%20%3D%203%5E0%20%3D%201)
Answer: N
16.
= 2
Answer: T
Thus, applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.
Learn more about the rules of exponents on:
brainly.com/question/12140519
0,3 is the answer to this
Answer: p = 1/25
Step-by-step explanation:
Ok, you know that the probability of rolling a six is p = 1/5
now, if you want to have two sixes, then you have two events with a probability of 1/5.
And as you know the joint probability for two events is equal to the product of the probabilities, then the probability of rolling two sixes is:
p = (1/5)*(1/5) = 1/25.
Answer:
Step-by-step explanation:
6x+3x= -2
9x= -2
x= -2/9