The graph that gives the best representation of the scenario is: option 1 (A).
<h3>Graph of Distance vs Time</h3>
- A typical graph of distance vs time shows the distance covered as against time.
- If the graph shows a line that slopes upwards, it implies movement from a spot, if it shows an horizontal line, it implies a rest.
The first graph is the correct one that best represents the scenario because it starts at the point of origin (0, 0), which means the bird covers not distance at zero time when it is still at its nest.
As the bird flies, distance increases with time till it stopped at a point to eat.. This is represented by horizontal line, meaning time increased but distance from the nest remains the same.
The upward slope from the spot represents the further distance the bird is flying in search for more food.
Therefore, the graph that gives the best representation of the scenario is: option 1 (A).
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Step-by-step explanation:
f(x) = 4x - 1
g(x) = 3x - 2
1) f(x) + g(x) = (4x - 1) + (3x - 2)
= 4x - 1 + 3x - 2
= 4x + 3x -1 - 2 = 7x - 3
2) f(x) * g(x) = (4x - 1) * (3x - 2)
= 12x^2 - 8x - 3x + 2
= 12x^2 -11x + 2
3) f(g(x)) = 4(3x - 2) - 1
= 12x - 8 - 1
= 12x - 9
4) f(x) - g(x) = (4x - 1) - (3x - 2)
= 4x - 1 - 3x + 2
= 4x - 3x - 1 +2
= x + 1
A Z-score helps us to understand how far is the data from the mean. The Z-score of the learner for ACT is 2.1154, while for SAT is 2.1.
<h3>What is Z-score?</h3>
A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
Z = (X-μ)/σ
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
Given the mean for the ACT score is 21, while the standard deviation is 5.2, therefore, the Z-score for the ACT composite score will be,
Z = (32-21)/5.2 = 2.1154
Similarly, given the mean for the SAT score is 516, while the standard deviation is 116, therefore, the Z-score for the SAT composite score will be,
Z = (760-516)/116 = 2.1
Hence, the Z-score of the learner for ACT is 2.1154, while for SAT is 2.1.
Learn more about Z-score:
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Answer:
Changing the net force on an object can either impress on it even more force in the direction that it is moving, making it go faster, or if you apply more net force on the object against it, then it decreases acceleration
Step-by-step explanation:
Answer:
? = 40
Step-by-step explanation:
8×(40+7) is exactly the same as 8×40 + 8×7
