(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.
That would be the one and only 22
Answer:
y= -0.2x+14
Step-by-step explanation:
you have to do y2-y1/x2-x1 of any two coordinates or points so you could do 9.8-10.2/21-19 then you get -0.4/2 and that equals -0.2 so -0.2 is now ur slope or M. Next you pick any coordinate like (19,10.2) and you plug that into ur y=mx+b to find the b since you have found the m already from y2-y1/x2-x1. You could do 10.2= 19(-0.2)+b once you do the algebra to solve this you get 14 as your b or y intercept
Answer:
B = 48.7°, C = 61.3°, b = 12.0
Step-by-step explanation:
A triangle solver makes short work of this. (See below.)
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If you're interested in solving this using only calculator trig functions (and not the solver function), you can use the Law of Sines:
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin(c/a·sin(A)) = arcsin(14/15·sin(70°))
C ≈ 61.3°
From the sum of angles, the third angle is ...
B = 180° -A -C = 180° -70° -61.3°
B = 48.7°
Again from the Law of Sines:
b/sin(B) = a/sin(A)
b = a·sin(B)/sin(A) = 15·sin(48.7°)/sin(70°)
b ≈ 12.0
Answer:
230°
Step-by-step explanation:
1. A quadrilateral is a 4-sided shape that consists of 2 triangles.
2. The interior angles in a triangle equal 180°: a quadrilateral has interior angles of 360°.
3. x° + 25° + 45° + 60° = 360°
4. x° + 130° = 360°
5. x° = 230°