A botanist separates plants into equal groups of 5 for an experiment. Is the total number of plants in the experiment prime or c
2 answers:
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Answer: last option
Step-by-step explanation:
You know that the weight of his pumpkin 4.9 pounds and that, if he guesses its weight within 0.3 pounds, he will get the pumpkin for free.
Then, to find the minimum weight he can guess in order to get his pumpkin for free, it's necessary to write the expression:
Rewriting it:
To find the maximum weight he can guess in order to get his pumpkin for free, it's necessary to write the expression:
Rewriting it:
Answer:
(A)
(B) Frequency becomes half.
Step-by-step explanation:
We have been given that the frequency f of vibration of a violin string is inversely proportional to its length L. The constant of proportionality k is positive and depends on the tension and density of the string.
(A) We know that two inversely proportional quantities are in form , where y is inversely proportional to x and k is constant of proportionality.
Upon substituting our given values, we will get:
Therefore, our required equation would be .
(B) For part, we have been given that length is twice, so our new frequency will be and new length
is
.
Upon substituting in our equation as:
Upon comparing with
, we can see that
is half the value of
.
Therefore, the frequency of vibration of violin gets half, when we double the length of the string.