1) Select the sampling rate as 10000 Hz (i. e. 10 kHz), and the number of samples as 50000 (i. e. 5 sec). What is the Nyquist frequency when sampling at this rate

5 kHz

Step-by-step explanation:

Sampling rate of a data is the number of times it can acquire a sample of an input signal per second. The Nyquist rate is the minimum sampling rate that can be used to represent a given signal.

The nyquist rate is gotten by dividing the sampling rate by 2, it is given by the formula:

Nyquist rate = sampling rate / 2

There are 50000 samples in 5 seconds, the sampling rate = 10 kHz (50000/5)

Hence, the nyquist rate = 10 kHz / 2 = 5 kHz

chicken nugget stir fry

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15