Steve buys 2 lb of grapefruit and 3 lb of oranges for $7. 20. Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8. 80. Le
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The average speed between t = 1.0 s and t = 4.0 s will be 2.1+0.3 which is 2.4m/s
<h3>Velocity function </h3>Given the equation for the position of the mouse expressed as:
The velocity of the particle is expressed as:
Given that p = 0. 40 m/s and q = -1. 10 m/s, the equation will become:
If the time is <em>t = 1.0 s, the velocity will be:</em>
Similarly if t = 4.0ssec, hence:
The average speed between t = 1.0 s and t = 4.0 s will be 2.1+0.3 which is 2.4m/s
<em>Learn more on</em><em> average speed </em><em>here: brainly.com/question/4931057</em>
Complete question
<em>A mouse runs along a baseboard in your house. The mouse's position as a function of time is given by x(t)=pt 2+qt, with p = 0.40 m/s2and q = -1.10 m/s . Determine the mouse's average speed between t = 1.0 s and t = 4.0 s. I have tried everything and the answer is not 0.40 m/s</em>
The first and second coordinate points of the sine graph are;
(0, 20) and (2, 22)
<h3>Sine Graph expression</h3>
The general formula we will use to plot the graph is;
y = [Asin (2πx/t)] + ∅ (Note that sin is in radians)
where;
A is amplitude
t is period
∅ is phase shift
We are told that the buoy bobs up and then down 2 meters from the ocean's depth. This means that;
Amplitude; A = 2
Now, Four seconds pass from the time the buoy is at its highest point to when it is at its lowest point. Thus;
Period = 2 * 4 = 8 seconds
Assume at x = 0, the buoy is at normal ocean depth. Thus;
Phase shift; ∅ = 20
Thus, we have;
y = [2sin((2πx/8)] + 20
At x = 0, we have;
y = [2sin((2π*0/8)] + 20
y = 0 + 20
y = 20
Thus, first point is; (0, 20)
Since the second point must be a maximum or minimum value on the graph closest to the first point, then we put 2 for x to get the coordinate of the second point;
y = [2sin((2π*2/8)] + 20
y = [2sin((2π*2/8)] + 20
y = [2sin(π/2)] + 20
In radians, sin(π/2) = 1. Thus;
y = (2 * 1) + 20
y = 22
Second point is (2, 22)
Using the first and second point coordinates, we will use sine tool to graph the function as attached below.
Read more about sine graph at; brainly.com/question/18055768
The information which can be deduced from this graph on green tea are:
B. Green tea is inelastic in terms of supply.
E. The supply of green tea does not change sharply with the price.
<h3>What is supply?</h3>Supply can be defined as the total quantity of goods or services that are demanded by consumers at a given period of time.
<h3>The types of supply.</h3>In Economics, there are two main types of supply and these include:
- Elastic supply
- Inelastic supply
Inelastic supply is a situation that occurs when the quantity of goods or services that the producers are willing to produce, doesn't change as the price of goods or services increases.
Read more on supply here: brainly.com/question/11898489
