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avanturin [10]
3 years ago
12

which conversion factors are used to convert 4 km/min to meters per hour? select each correct answer. a.1 h60min b.1 km1000 m c.

1000 m1 km d.60min1
Mathematics
1 answer:
Maksim231197 [3]3 years ago
3 0
The correct answer of the given question above would be option d and option b. The conversion factors that should be used to convert 4km/min are 60 minutes is to 1 hour and 1 kilometer is to 1000 meters. Therefore, in 4km/min, there are 4000m in every 0.0167 min. Hope this answer is able to help you.
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A ball is thrown upward with an initial velocity of 60 mph. it is thrown from a height of 5 feet. what is the maximum height it
natima [27]

Answer:

h = 61.25 m

Step-by-step explanation:

It is given that,

The initial velocity of the ball, v = 60 m/s

It is thrown from a height of 5 feet, h_o=5\ ft

We need to find the maximum height it reaches. The height reached by the projectile as a function of time t is given by :

h=-16t^2+vt+h_0

Putting all the values,

h=-16t^2+60t+5 .....(1)

For maximum height, put

\dfrac{dh}{dt}=0\\\\\dfrac{-16t^2+60t+5}{dt}=0\\\\-32t+60=0\\\\t=\dfrac{-60}{-32}\\\\t=1.875\ s

Put t = 1.875 in equation (1)

h=-16(1.875)^2+60(1.875)+5\\\\h=61.25\ m

So, the maximum height reached by the ball is 61.25 m.

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3 years ago
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dusya [7]

Answer:

Vertex: (3,0)

Max/min: min

axis of symmetry: x=3

Domain: (-∞,∞)

Range: [3,∞)

zeroes: (3,0)

Step-by-step explanation:

Vertex is where the graph changes directions (so in this case it's the point where it changes from decreasing to increasing) which I think is (3,0)

It's a minimum because the coefficent for the degree is positive

The axis of symmetry is just the x value of the vertex (which is x= 3)

the domain is all possible x values (-∞,∞)

The range is all possible y values [3,∞)

The zeroes is where the line hits the x axis, which is (3,0)

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24 / 10 = 2.4
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andrew11 [14]
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