The distance between the campsite and the rest area is 9 miles.
The given parameters:
- <em>Initial speed of the campers, u = 4.5 mph</em>
- <em>Final speed of the campers, v = 4 mph</em>
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Let the time of motion from the campsite to rest area = t (hours)
Time for return trip = t hours + 15 mins
= (t + 0.25) hours
Let the distance between the campsite and rest area = d
d = 4.5t
d = 4(t + 0.25)
4.5t = 4(t + 0.25)
4.5t = 4t + 1
4.5t - 4t = 1
0.5t = 1
t = 2 hours
The distance between the campsite and the rest area is calculated as follows;
d = 4.5t
d = 4.5 x 2
d = 9 miles
Thus, the distance between the campsite and the rest area is 9 miles.
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By applying Pythagorean' theorem, the value of tanP is equal to 3/4.
<h3>How to determine the value of tan P?</h3>
Since triangle PQR has right-angle Q and sinR = 4/5, we have:
sinR = Opp/hyp = 4/5
tanP = Opp/Adj = QR/4
Next, we would determine the length of QR by applying Pythagorean' theorem:
PR² = QR² + PQ²
5² = QR² + 4²
25 = QR² + 16
QR² = 25 - 18
QR = √9
QR = 3 units.
For the value of tanP, we have:
tanP = 3/4.
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The marginal revenue of this monopolist's 11th unit of output is; $2.80
<h3>How to find the Marginal Revenue?</h3>
Marginal revenue is defined as the amount that you gained after selling all your units at a certain price.
Revenue is different from profit, because profit has to incorporate the expenses incurred in order to produce the product. For total revenue, that would just represent the total sales of a firm or company. However, marginal revenue is the additional cost a consumer has to pay when he acquires an additional unit of the product. Thus, marginal revenue is the change of sales per unit product.
Formula for Marginal Revenue is;
Marginal Revenue = ΔRevenue/ΔNumber of units
Thus;
Marginal Revenue = [11($4.80) - 10($5)]/(11 - 10)
Marginal Revenue = $2.8 per unit
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The grouping of beats into equal parts. Although the others are aspects of music, the tone or quality of a sound, frequency and duration of the beat have nothing to do with the music’s tempo.
Rubber is a non-electric thing