Answer:
The Nyquist sampling theorem states that the sampling frequency must be at least twice of the highest frequency component present in the signal.
Mathematically,
Samling rate ≥ 2×fmax
Step-by-step explanation:
We know that sound is an analog signal comprising of several different frequencies. We convert this analog signal into a digital signal by means of an analog-to-digital converter (ADC) for the purpose of storage and transmission.
For accurate and faithful analog to digital conversion, we need to take some samples per second which is basically called "Sampling rate".
So how many samples do we need?
This is where Nyquist sampling theorem comes into the picture.
Nyquist Sampling theorem:
The Nyquist sampling theorem states that the sampling rate must be at least twice of the highest frequency component present in the signal.
Mathematically,
Samling rate ≥ 2×fmax
This is the minimum sampling frequency that is required to avoid distortion of the signal.
If the Nyquist criteria is not followed then some of the information in the analog signal will be lost and the sound will not be accurately converted into the digital signal.
Therefore, a higher sampling rate would result in better reproduction of sound as compared to a lower sampling rate.
On the other hand, a higher sampling rate would also take more storage memory and reduced transmission speed.
Answer:
The distance between A and A' is:
Step-by-step explanation:
Notice that point A' after the given translation becomes: (-2+4, 3+2) = (2, 5),
So one can calculate the distance between A (-2, 3) and A' (2, 5) using the distance formula:
Answer:
$61.25
Step-by-step explanation:
The quantity for a 60-day supply is 60 times the 1-day usage. The BOGO offer means the sale price is effectively half the usual price.
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One day supply: 2/3 can + 1/2 can = (4/6 +3/6) = 7/6 can
60-day supply: 60 × 7/6 can = 70 cans
Susan will be paying for 70/2 = 35 cans of dog food. (She will get 35 cans free.) So, her cost will be ...
35 × $1.75 = $61.25
The cost of Susan's dog food purchase would be $61.25 before tax.
Follow the PEMDAS i will give u an example below.
Answer:
0.200
Step-by-step explanation:
∑ₓ₌₁⁴⁰ (1 + i)⁻ˣ = 5
∑ₓ₌₁⁴⁰ ((1 + i)⁻¹)ˣ = 5
This is a geometric series. The sum of the first n terms of a geometric series is:
S = a₁ (1 − rⁿ) / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = (1 + i)⁻¹, r = (1 + i)⁻¹, and n = 40. For simplicity, let's write both a₁ and r in terms of r. So a₁ = r and r = r.
5 = r (1 − r⁴⁰) / (1 − r)
5 (1 − r) = r (1 − r⁴⁰)
5 − 5r = r − r⁴¹
r⁴¹ − 6r + 5 = 0
Solving with a calculator, r ≈ 0.8334.
Therefore:
(1 + i)⁻¹ = 0.8334
1 + i = 1.200
i = 0.200