1. What number is 59% of $45?
2 answers:
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Answer:
three consecutive odd integers are.
Step-by-step explanation:
Let x be the first term of odd integer,
Therefore, the second consecutive odd integers =
Similarly, the third consecutive odd integers =
Given:
The sum of the first term and second term is 344.
first term + second term = 344
Here first term is x and second term is .
Therefore, the first odd integers is 171.
And the second consecutive odd integers =
Similarly, the third consecutive odd integers =
Answer:
The highest altitude that the object reaches is 576 feet.
Step-by-step explanation:
The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be , the first and second derivatives are, respectively:
First Derivative
Second Derivative
Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:
(Critical value)
The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:
The highest altitude that the object reaches is 576 feet.