Answer:
Step-by-step explanation:
The three step test for continuity states that a function ƒ(x) is continuous at a point x = a if three conditions are satisfied:
(i) Left-hand limit = right-hand limit.
Pass. The limit from either side is 8.
(ii) Left-hand limit = limit.
Pass. If the limits from either direction exist, the limit exists.
(iii) Limit as x ⟶ ∞ is not part of the three-step test.
(iv) Limit as x ⟶ 1 exists. Pass.
(v) f(1) is defined.
FAIL. f(1) is not defined.
(vi) Limit as x ⟶ ∞ is not part of the three-step test.
(vii) Passing the three-step test is not a step in the test.
(viii) The limit as x ⟶ 1 does not equal f(1).
FAIL. f(1) is undefined.
The steps in the three-step test for which the function fails are .
It's weight would be: x*150 / 100
Where, x= weight of nickel
A nickel weighs 5 grams. As a dime is said to weigh 50% as much as a nickel, we calculate 50% of 5 to find the weight of the dime, which gives us 2.5 grams.
The subject of this question is in the context of Mathematics, more specifically proportional relationships. The weight of a nickel is 5 grams. As mentioned, a dime weighs 50% less than a nickel. So to find the weight of the dime, we calculate 50% of 5 grams.
First, to find 50%, we need to divide by 100 and then multiply by 50. That is: (5 / 100) * 50 = 2.5 .
So, a dime weighs 2.5 grams. Always remember, weight measurements can have slight variations depending upon measurement techniques and tools used. For instance, if you place a coin on a standard electronic balance, you may obtain a weight of 2.5 g with a nominal uncertainty in the measurement of ± 0.01 gram. However, in a general sense for our calculation with given data, the weight of a dime is indeed 2.5 grams.
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4:24 28:15 3:13 18:30 12:14
Answer:
1. 28:15
2. 3:13
Step-by-step explanation:
The ratios above have no common factor.
4:24 .
Common factor : 4
18:30
Common factor : 6
12:14
Common factor : 2
Answer:
28:15
3:13
Step-by-step explanation:
The ratios 28:15 and 3:13 are in their simplest form, meaning that they cannot be simplified any further.
Meanwhile, the other 3 ratios are not in their simplest form and can still be simplified if they are divided by either 2 or 4.