Answer:
- <u><em>No, if the left-hand limit fo a function approaches infinity because there is a vertical aymptote the limit does not exist.</em></u>
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Explanation:
<h2>Important: infinity is not a value!</h2>
When it is said that a limit approaches infinity, it means that the function becomes indefinitely large: as you get closer and closer to the input value, the function becomes larger and larger; in this case, no value can be assigned to the limit, that is, <em>the limit does not exist</em>
For there to be a limit, the function has to approach a specific value. Infinity is not a number; it does not indicate a particular value; again, the limit does not exist.
Answer:
4,320ways
Step-by-step explanation:
We are given the following from the questions
Number of paintings = 9
Renaissance paintings= 6
Baroque paintings = 3
Since they are hanging from left to right and we will first hang Renaissance painting before baroque painting, hence;
For Renaissance painting, this can be done in 6! ways
6! = 6*5*4*3*2*1
6! = 720ways
Similarly for Baroque painting, this can be done in 3! ways
3! = 3*2*1
3! = 6ways
The total number of ways to hang the painting = 6!*3!
The total number of ways to hang the painting = 720 * 6
The total number of ways to hang the painting = 4,320ways
Hence there are 4,320ways to hang the paintings
Answer:
x=3, y=0.8
Step-by-step explanation:
8x+5y=28
4x+5y=16
Subtract the second simultaneous equation from the first.
You are left with: 4x=12
12/4=3
x=3
Substitute this back into one of the equations.
8(3)+5y=28
8*3=24
28-24=4
4=5y
4/5=0.8
y=0.8
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Perimeter of the new triangle is 1505 ft
Step-by-step explanation:
- Step 1: Given the perimeter of the right triangle = 215 ft. Find new perimeter.
Perimeter of the triangle = sum of the sides = a + b + c = 215
Each side is multiplied by 7, so new sides are 7a, 7b, 7c
⇒ New perimeter = 7a + 7b + 7c = 7(a + b + c) = 7 × 215 = 1505 ft
