Answer:
Q = A ⊕ B = (A AND B) + ( not(A) AND not(B) )
Explanation:
AND gates : only output 1 when both inputs are 1
OR gate: only output 1 when either or both of the inputs are 1
NOT gates: takes only one input ad output the opposite of the input
The required circuit should takes two inputs and outputs a 1 if and only if the two inputs are the same signal.
The two possible scenarios : both input are 1's or 0's
Q = A ⊕ B = (A AND B) + ( not(A) AND not(B) )
A B not(A) not(B) A AND B not(A) AND not(B) Q
0 0 1 1 0 1 1
0 1 1 0 0 0 0
1 0 0 1 0 0 0
1 1 0 0 1 0 1
While no one knows why, astronomers do now know that the solar nebula has collapsed. Scientists believed that our Solar system was made when gas and dust cloud was being disturbed by an explosion of supernova. Due to pressure, this cloud collapsed.
A. The angle at which the arrow must be released to hit the bull's-eye is 20.7 °
B. The arrow will go over the branch.
<h3>A. How to determine the angle</h3>
- Range (R) = 74 m
- Initial velocity (u) = 33 m/s
- Acceleration due to gravity (g) = 9.8 m/s²
- Angle (θ) = ?
R = u²Sine(2θ) / g
74 = 33² × Sine (2θ) / 9.8
Cross multiply
74 × 9.8 = 33² × Sine (2θ)
725.2 = 1098 × Sine (2θ)
Divide both sides by 1098
Sine (2θ) = 725.2 / 1098
Sine (2θ) = 0.6605
Take the inverse of sine
2θ = Sine⁻¹ 0.6605
2θ = 41.3
Divide both sides by 2
θ = 41.3 / 2
θ = 20.7 °
<h3>B. How to determine if the arrow will go over or under the branch</h3>
To determine if the arrow will go over or under the branch situated mid way, we shall determine the maximum height attained by the arrow. This can be obtained as follow:
- Initial velocity (u) = 33 m/s
- Acceleration due to gravity (g) = 9.8 m/s²
- Angle (θ) = 20.7 °
- Maximum height (H) = ?
H = u²Sine²θ / 2g
H = [33² × (Sine 20.7)²] / (2 ×9.8)
H = 6.94 m
Thus, the maximum height attained by the arrow is 6.94 m which is greater than the height of the branch (i.e 3.50 m).
Therefore, we can conclude that the arrow will go over the branch
Learn more about projectile motion:
brainly.com/question/20326485
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Answer:
A. The time it takes for the water to boil
It is because salt was added into the water. So the responding variable is the time taken to boil the water.
hope this help u. good luck
