Answer: d. None of the above are correct.
Step-by-step explanation: Noise is a superfluous random alteration in an eletrical signal. There are different types of noises created by different devices and process. Thermal noise is one of them. It is unavoidable because is created by the agitation of the charge carriers, due to temperature, inside an eletrical conductor at equilibrium and is present in all eletrical circuits.
The formula to find the thermal noise power (N) is: N = 
.T.B, where:
is Boltzmann constant (1.38.
J/K);
T is temperature in Kelvin;
B is the bandwith;
Calculating the thermal noise power:
N = 1.38.·292·40
N = 16118.4. dBm
The thermal noise power [N] = 16118.4. dBm
Noise power density or simply Noise density (N₀) is the noise power per unit of bandwith and its SI is watts per hertz.
For thermal noise, N₀ = kT, where
<em>k </em>is the Boltzmann constant in J/K;
T is the receiver system noise temperature in K;
N₀ = 1.38. . 292
N₀ = 402.96. W/Hz
The thermal noise power density [N₀] = 402.96. W/Hz
Okay. To find the miles per gallon of B, we have to divide 100 by 2.6. 100/2.6 is 38.4615385 or about 38.5 miles per gallon when rounded to the nearest tenth. Car B goes approx. 38.5 miles per gallon.
They're opposite numbers.
Option C:
The solution of inequality 2x + y < 10 is (5, –3).
Solution:
Given inequality is 2x + y < 10.
Lets substitute the given points in the inequality and find the solution.
Option A: (6, –1)
2(6) + (–1) < 10
12 – 1 < 10
11 < 10
This is false because 11 > 10.
Therefore (6, –1) is not the solution of the inequality.
Option B: (1, 10)
2(1) + (10) < 10
2 + 10 < 10
12 < 10
This is false because 12 > 10.
Therefore (1, 10) is not the solution of the inequality.
Option C: (5, –3)
2(5) + (–3) < 10
10 – 3 < 10
7 < 10
This is true.
Therefore (5, –3) is the solution of the inequality.
Option D: (5, 5)
2(5) + (5) < 10
10 + 5 < 10
15 < 10
This is false because 15 > 10.
Therefore (5, 5) is not the solution of the inequality.
Hence Option C is the correct answer.
The solution of inequality 2x + y < 10 is (5, –3).
Answer:
B = 1.875
Step-by-step explanation:
given that A varies directly as B and inversely as C then the equation relating them is
A = 
← k is the constant of variation
to find k use the condition A = 12 when B = 3 and C = 2 , then
12 = 
( multiply both sides by 2 to clear the fraction )
24 = 3k ( divide both sides by 3 )
8 = k
A = 
← equation of variation
when A = 10 and C = 1.5 , then
10 = 
( multiply both sides by 1.5 )
15 = 8B ( divide both sides by 8 )
1.875 = B
