Answer:
327.08 m/s
Step-by-step explanation:
Given that:
Length of pipe = 2.96m
4th harmonic frequency = 221 Hz
Speed of wave in the horn :
Speed of wave (v) = fλ
For 4th harmonic :
Wavelength, λ = (2/4)L
λ = L/2 ; 2λ = L
2λ = 2.96
λ = 2.96 / 2
λ = 1.48 m
Hence, speed of wave in the horn = 221 * 1.48 = 327.08 m/s
The additive inverse of 5 modulo 8 is the number a such that
5 + a ≡ 0 (mod 8)
Then
a ≡ -5 ≡ -5 + 8 ≡ 3 (mod 8)
The multiplicative inverse is m such that
5m ≡ 1 (mod 8)
Use the Euclidean algorithm:
8 = 1•5 + 3
5 = 1•3 + 2
3 = 1•2 + 1
Then
1 = 3 - 1•2
1 = 3 - 1•(5 - 1•3) = 2•3 - 1•5
1 = 2•(8 - 1•5) - 1•5 = 2•8 - 3•5
and so
1 ≡ 2•8 - 3•5 ≡ (-3)•5 (mod 8)
which means the inverse of 5 is
-3 ≡ 8 - 3 ≡ 5 (mod 8)
Answer:
The answer is C. Hope it helps
Answer:
Step-by-step explanation:
if the volume is V=s^3
Winston has to do
V=0.5^3=0.125 cm^3
The number of teaspoons of sugar that Mr. P. consumes is = 56.7 teaspoons.
<h3>Calculation of total sugar quantity</h3>
The total amount of cola taken is 8-ounce
To covert ounce to grams , the following is carried out;
1 ounce =28.35g
8 ounce = X
Xg = 8 × 28.35
X = 226.8g
But one teaspoon = 4 grams
X teaspoon = 226.8g
cross multiply to solve for x
X = 226.8g/ 4
X = 56.7 teaspoons
Therefore, the number of teaspoons of sugar that Mr. P. consumes is = 56.7 teaspoons.
Learn more about multiplication here:
brainly.com/question/10873737