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uysha [10]
2 years ago
6

Two bicyclists are 7/8 of the way through a mile long tunnel when a train approaches the closer end at 40 mph. The riders take o

ff at the same speed in opposite directions and each escapes the tunnel as the train passes them. How fast did they ride?
Mathematics
1 answer:
Anastaziya [24]2 years ago
6 0

Answer:

the cyclists rode at 35 mph

Step-by-step explanation:

Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then

distance= speed*time

since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :

time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train

thus denoting v as the speed of the cyclists :

7/8*L / v = L / 40 mph

v = 7/8 * 40 mph = 35 mph

v= 35 mph

thus the cyclists rode at 35 mph

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How is the graph of the parent function of y = 3√x transformed to produce the graph y = 3√1/2x? It is horizontally stretched by
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The graph of the parent function is horizontally stretched by a factor of \frac{1}{2} ⇒ 1st answer

Step-by-step explanation:

Let us revise some transformation

A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.  

A horizontal stretching is the stretching of the graph away from the y-axis  

  • If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = f(k•x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k
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A vertical stretching is the stretching of the graph away from the

x-axis  

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.  

  • If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k
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∵  y=3\sqrt{x} is a parent function

∵ Its graph transformed to produce the graph of y=3\sqrt{\frac{1}{2} x}

- That means x is multiplied by a factor k, then it is compressed

   or stretched horizontally

∵ k = \frac{1}{2}

- The factor \frac{1}{2} is between 0 and 1, then it is

   stretched horizontally as the second rule above

∴ The graph of the parent function is stretched horizontally by a

   factor of \frac{1}{2}

The graph of the parent function is horizontally stretched by a factor of \frac{1}{2}

Look to the attached figure for more understand

Learn more:

You can learn more about transformation in brainly.com/question/9381523

#LearnwithBrainly

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Answer:

Step-by-step explanation:

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Let

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w----> the width side of a rectangle

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The quantity A minus l times w all divided by 0.5 times h


8 0
2 years ago
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