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professor190 [17]
2 years ago
5

Weekly wages at a certain factory are

Mathematics
2 answers:
Alchen [17]2 years ago
4 0

Answer:

13.5

Step-by-step explanation:

SpyIntel [72]2 years ago
4 0

Answer:

34

Step-by-step explanation:

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A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft from the path and is kept f
krek1111 [17]

Answer:

0.128rad/sec

Step-by-step explanation:

Let x represent the between the man and the point on the path

θ = the angle

dx/dt = 4 ft/s

dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight

tan θ = x/20 ft

Cross Multiply

20tan θ = x

dx/dt = 20sec² θ dθ/dt

dθ/dt = 1/20 × cos² θ dx/dt

dθ/dt= 1/20 × cos² θ × 4

dθ/dt = 1/5 × cos² θ

Note : cos θ = 4/5

dθ/dt = 1/5 × (4/5)²

dθ/dt = 16/125

dθ/dt = 0.128rad/sec

6 0
3 years ago
Water is pumped out of a holding tank at a rate of 6-6e^-0.13t liters/minute, where t is in minutes since the pump is started. I
astraxan [27]
Procedure:

1) Integrate the function, from t =0 to t = 60 minutues to obtain the number of liters pumped out in the entire interval, and

2) Substract the result from the initial content of the tank (1000 liters).

Hands on:

Integral of (6 - 6e^-0.13t) dt  ]from t =0 to t = 60 min =

= 6t + 6 e^-0.13t / 0.13 = 6t + 46.1538 e^-0.13t ] from t =0 to t = 60 min =

6*60 + 46.1538 e^(-0.13*60) - 0 - 46.1538 = 360 + 0.01891 - 46.1538 = 313.865 liters

2) 1000 liters - 313.865 liters = 613.135 liters

Answer: 613.135 liters



 

3 0
3 years ago
A cone has a diameter of 4 centimeters and a height that is 6 times the diameter. Using 3.14 for pi, which of the following can
Irina-Kira [14]
I hope this helps you

4 0
3 years ago
Solve the inequality
gogolik [260]

Answer:

x>=3

Step-by-step explanation:

5x-6>=9

5x>=9+6

5x>=15

x>=15/5

x>=3

7 0
3 years ago
7 x 1 = 7 shows the _______ property
Nimfa-mama [501]

Answer:

multiplication property of one or identity

Step-by-step explanation:

3 0
2 years ago
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