I=prt solve for t HELPPP PLEASEEEE
2 answers:
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Answer: Choice D) set of even integers
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Explanation:
U = universal set = {all positive integers} = {1, 2, 3, 4, 5, ...}
A = {stuff in set U that is odd} = {1, 3, 5, 7, 9, ...}
= {stuff in set U but NOT from set A} = {2, 4, 6, 8, ...}
= {set of even numbers from set U}
In set theory, the complement is simply the complete opposite. If the number 7 is found in set A for instance, then 7 is not going to live in the complement
The opposite of the odd numbers is the set of even numbers.
Therefore, we go for <u>choice D</u> as our final answer.
Side note: if we union set A with its complement then we get the universal set as a result.
Answer:
y = 3.33x - 18
Step-by-step explanation:
In order for a line to be perpendicular to another, it must have a slope with the negative reciprocal
- Here in the equation y = -0.3z + 6 has a slope of -0.3 (can also be written as
)
- A line that is perpendicular to this line will need to have a slope of 3.33 repeating (or
)
- I will using fractions for simplicity and convert to decimals afterwards
Since we have our slope and the two points, we can plug them into y = mx + b to solve for b and write our new equation of a line
- Substituting in the values that we have we get:
- Simplifying we get -8 = 10 + b, making b = -18
Now that we have our slope and our y-intercept we can plug them into the same formula used before to find our perpendicular line:
which can also be written as y = 3.33x - 18