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STALIN [3.7K]
3 years ago
8

(05.03 LC)

Mathematics
1 answer:
never [62]3 years ago
8 0

Answer:

The correct answer is x = -5

Step-by-step explanation:

All vertical lines can we written in terms of x = (a number). You can find this number in the ordered pair under the x-coordinate. In this case it is -5.

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If θ=0rad at t=0s, what is the blade's angular position at t=20s
babunello [35]
The attached figure represents the relation between ω (rpm) and t (seconds)
To find the blade's angular position in radians ⇒ ω will be converted from (rpm) to (rad/s)
              ω = 250 (rpm) = 250 * (2π/60) = (25/3)π    rad/s
              ω = 100 (rpm) = 100 * (2π/60) = (10/3)π    rad/s

and from the figure it is clear that the operation is at constant speed but with variable levels
            ⇒   ω = dθ/dt   ⇒   dθ = ω dt

            ∴    θ = ∫₀²⁰  ω dt  
 
while ω is not fixed from (t = 0) to (t =20)
the integral will divided to 3 integrals as follow;
       ω = 0                                          from t = 0  to t = 5
       ω = 250 (rpm) = (25/3)π            from t = 5   to t = 15
       ω = 100 (rpm) = (10/3)π            from t = 15 to t = 20

∴ θ = ∫₀⁵  (0) dt   + ∫₅¹⁵  (25/3)π dt + ∫₁₅²⁰  (10/3)π dt
     
the first integral = 0
the second integral = (25/3)π t = (25/3)π (15-5) = (250/3)π
the third integral = (10/3)π t = (25/3)π (20-15) = (50/3)π

∴ θ = 0 + (250/3)π + (50/3)π = 100 π

while the complete revolution = 2π
so instantaneously at t = 20
∴ θ = 100 π - 50 * 2 π = 0 rad

Which mean:
the blade will be at zero position making no of revolution = (100π)/(2π) = 50
















3 0
3 years ago
Doña Mercedes' debt can be paid in 32 weeks, as long as $ 50 is paid in the first week, $ 80 in the second week, $ 110 in the th
KengaRu [80]

Answer:

Step-by-step explanation:

21

that is all

8 0
3 years ago
Find the slope of the line segment that joints the points A(2, -8) and B(-1, 16)
Karo-lina-s [1.5K]
We need to use the Point slope formula to find the slope so we label
(2 , -8);(-1 , 16) subtract
x1 y1 x2 y2. y2-y1/x2-x1
16-(-8)/-1-2 = 24/-3 = -8
meaning the slope of this line is (-8)
8 0
3 years ago
What is 500 10 times much as
Andreas93 [3]
10 times 50 is 500

So your answer is 50.
4 0
3 years ago
Read 2 more answers
Can someone help me with both. Will Mark brainliest.
MariettaO [177]

Answer:

4. false

5. false

Step-by-step explanation:

4. so sometimes it is false and sometimes true; i went with false just because sometimes it is not true and it not being true some of the time is definitely dominant.

5. simple. lol

5 0
3 years ago
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