For this case we have the following function:
f (x) = x ^ 5
We apply the following transformations:
reflect over the y axis:
f (x) = (- x) ^ 5
shift 1 unit left:
f (x) = (- x + 1) ^ 5
vertically compress by 1/3:
f (x) = (1/3) (- x + 1) ^ 5
Answer:
A function that results after applying the sequence of transformations is:
f (x) = (1/3) (- x + 1) ^ 5
Answer:
Step-by-step explanation:
A recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water and 1 teaspoon of salt.
Therefore, if we add 2 loaves of bread then double of ingredients will be required for the recipe.
In the same way if 4 loaves of bread have been added, 4 times ingredients will be required.
If 3 cups of flour are added then 3 times of other ingredients will be required.
So the table will be,
Number of loaves Cups of flour Tablespoons of water Teaspoons of salt
1 2 12 1
2 4 24 2
4 8 48 4
3 6 36 3
The percentage of the radioactive isotope left is 25.0000%.
<h3>What is the half life?</h3>
The half life of a radioactive isotope is the time that will elapse before only half of the number of original isotopes will remain.
Now;
We are told that;
Half life (t1/2) = 55 days
Time taken (t) = 115 days
Ratio of isotope remaining = N/No
Thus;
N/No = (1/2)^t/t1/2
N/No = (1/2)^115/55
N/No = (1/2)^2
N/No =1/4
Hence, the percentage = 1/4 * 100/1 = 25.0000%
Learn more about half life of an isotope:brainly.com/question/16387602
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Answer:
T₆₇ = -413
Step-by-step explanation:
