<u><em>Answer:</em></u>
B. 285 km/5 min
<u><em>Explanation:</em></u>
<u>The rule that links velocity, wavelength and frequency is:</u>
V = λν
<u>where:</u>
V is the velocity that we want to find
λ is the wavelength of sound = 1 m
ν is the frequency of the wave = 950 Hz
<u>Substitute to get the velocity as follows:</u>
V = 1 * 950 = 950 meters/sec
Now, we need to convert the meter/sec into Km/5 minutes
<u>We know that:</u>
To convert from meter to Km, we will divide by 1000
To convert from sec to minute, we will divide by 60 which means that, to convert from sec to 5 minutes, we will divide by 5*60 = 300
<u>Based on this:</u>
Hope this helps :)
Answer: r = 1.33 × 10^-5 mm
Explanation: The force per unit length of 2 current carrying conductor is given by the formulae below.
F/L = (u×I1×I2) /(2πr)
Where F/L = force per unit length = 7.73×10^-5mm = 0.0775 mm.
I1 = current on the first conductor = 4.27A
I2 = current on the second conductor = 1.19A
r = distance between both conductors.
u = permeability of free space = 1.25×10^-6
By substituting parameters, we have that
0.0775 = 1.25×10^-6 × 4.27 × 1.19/ 2πr
By cross multiplication
0.0775 ×2πr = 1.25×10^-6 × 4.27 × 1.19
r = 1.25×10^-6 × 4.27 × 1.19/ 0.0775 ×2π
r = 0.00000635162 / 0.0775 ×2π
r = 1.33 × 10^-5 mm
Answer:
600 J
Explanation:
The formula to find the kinetic energy of an object is
- m = mass in kg
- V = velocity in m/s
- KE is measured in Joules just as all other forms of energy.
Now, let's plug in the variables we're given and simplify.
Thus, the answer is 600 Joules.
The appropriate hypothesis test for this question is the two proportions test. As the name implies, it is often used to compare existing percentages between two groups. The raw data behind the percentages must be available as the sample size becomes crucially important in determining the test statistics.
The test statistic of the two-proportion test is the Z value. When the sample becomes very large, the Z value is governed under a normal function and is commonly known as the standardized Z value
We first calculate for the volume of each of the figure by dividing all together the dimensions of the rectangular prism.
Volume = (10 ft)(3 ft)(3 ft) = 90 ft³
Then, multiply the volume of each prism by 10 to get the total amount of cement that needs to be poured.
Total volume = (90 ft³)(10) = 900 ft³