(a)The amount of people that went on the escalator is given by the integral
270 people enter the elevator <span>during the time interval 0 ≤ t ≤ 300
</span>You can save time by just writing that and getting an answer from your calculator. You are not expected to write out the entire integrand. Since this is for 0 ≤ t ≤ 300, you would be typing this integral into your calculator
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(b)
There are 80 people at time t = 300
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(c)Since there are 80 people at time t = 300 and r(t) = 0 for t > 300, the rate of people in line is only determined constant exiting rate of <span>0.7 person per second. The amount of people in line is linear for t > 300.
This is for t > 300, so
The first time t is approximately t = </span><span>414.286</span>
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(d)The absolute minimum will occur at a critical point where r(t) - 0.7 = 0 or at an endpoint.
By graphing calculator,
If
represents the amount of people in line for 0 ≤ t ≤ 300, then
P(0) = 20 people (given)
P(33.013) ≈ 3.803
P(166.575) ≈ 166.575
P(300) = 80
Therefore, at t = 33.013, the number of people in line is a minimum with 4 people.
Answer:
The distance is 4 units.
Step-by-step explanation:
Let the distance between the two points (x₁, y₁) and (x₂, y₂) is
<em>d = √(x₂ - x₁)² + (y₂ - y₁)²</em>
Here, the given points are (2,8) and (6,8), therefore,
x₁ = 2, x₂ = 6,
y₁ = 8, y₂ = 8
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(6 - 2)² + (8 - 8)²
d = √(4)² + (0)²
d = √16
d = 4
Thus, The distance is 4 units.
<u>-TheUnknownScientist</u><u> 72</u>
Answer:
k
Step-by-step explanation:
The answer of the question is 5 beaches 4x-5’7 and when you put the power to 100
Answer:
8. Not similar
9. Similar
Step-by-step explanation:
8. You could try to us the AA theorem which means that two angles in the triangle are equal, which would mean that the triangles are similar. But 46+58=104 and 180-104=76 so there are not two similar angled between the triangles.
9. You can use the same theorem for this problem (AA). So 106+31=137 and then 180-137=43 which is one of the angles in the second triangle. Since at least two of the angles are equal, you can use AA theorem yo prove they are similar.
Hope this helps!