I believe the answer the the question A number is divisible by 3 if the sum of the digits of the number is divisible by 3. Is 504, it makes sense
Answer: 34.54feet
Step-by-step explanation:
Thw circumference of the pool will be calculated by using the formula:
= 2πr
where
π = 3.14
r = 5.5
Therefore, circumference = 2πr
= 2 × 3.14 × 5.5
= 34.54feet
Therefore, the circumference of the pool to the nearest hundredth is 34.54feet.
Answer:
(Amplitude) (Correct answer: 1)
(Angular frequency) (Correct answer: 2)
(Phase shift) (Correct answer: 3)
(Vertical shift) (Correct answer: 4)
(Period) (Correct answer: 5)
Step-by-step explanation:
The general form of a sinusoidal function is represented by the following characteristics:
(1)
Where:
- Amplitude.
- Angular frequency.
- Phase shift.
- Vertical shift.
- Independent variable.
- Dependent variable.
In addition, we know that the period associated with the sinusoidal function (
) is:
By direct comparison, we get the following conclusions:
(Amplitude) (Correct answer: 1)
(Angular frequency) (Correct answer: 2)
(Phase shift) (Correct answer: 3)
(Vertical shift) (Correct answer: 4)
(Period) (Correct answer: 5)
Answer:
700 Dollars
Step-by-step explanation:
The expression for solving this is I = prt
So lets start with P, that is our principal or amount of money we start with, and we want to multiply it by our rate, or r , which is 3.5, so we would do 5000 x 0.035 to get 175, then we multiply that by our time or t, which is 4 years, so 175 x 4 = 700 dollars :D
Answer:
The graph of this piece-wise function is attached below.
Step-by-step explanation:
Given the function
- A piece-wise function is a function which has multiple pieces.
- Each of the pieces have their own restrictions.
- The domain of a function is the set of input, or x, values for which the function is defined.
- The range is the set of all values taken by the function
As the piece
has the domain [-5, 3) and graph of this piece is attached below.
and
has the domain [3, 7) and graph of this piece is attached below.
So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval ![\:\left[-1,\:27\right]](https://tex.z-dn.net/?f=%5C%3A%5Cleft%5B-1%2C%5C%3A27%5Cright%5D)
.
i.e.
Domain: [-5, 3) U [3, 7)
Range:
The graph of this piece-wise function is attached below.
<em>Keywords: piece-wise function, domain, range</em>
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