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3 years ago

Find a bijection from (0,1] to (0,1) Math: Analysis and proof

Mathematics

1 answer:

gregori [183]3 years ago

8 0

Answer with explanation:

The meaning of bijection for two sets X and Y is each and every element of X is uniquely related with element of set Y and when you take the inverse mapping every element of set Y is uniquely related with each and every element of Set X.

The two sets given are

X=(0,1]---------Semi open or Semi closed Set

Y=(0,1)---------Closed set

Between any two real numbers there are infinite number of real numbers.So cardinal number of both the sets is infinite.

There can be infinite bijection between these two sets as both sets have infinite number of elements.

X Y

0.1 ------------- 0.01

0.2 ------- 0.02

0.3 -------- 0.03

0.4 --------- 0.04

-------------------------

------------------------------

-------------------------------

--------------------------------------

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Triangle ABC and DEF are similar what is the length of segment DF?

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Answer:

Proportionate to whatever length the corresponding segment for the similar triangle.

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2 years ago

Harley is riding her bicycle 9.88 miles from her house to work. If she rides at a speed of 13 miles per hour, how long will it t

PIT_PIT [208]

It would take Harley 46 minutes to arrive at work.

Step-by-step explanation:

Given,

Distance from house to work = 9.88 miles

Speed of bicycle = 13 mph

Distance = Speed*Time

Time = $\frac{Distance}{Speed}$

Time = $\frac{9.88}{13}$

Time = 0.76 hour

We know that 1 hour = 60 minutes

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Keywords: speed, distance

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3 years ago

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2 years ago

A bus travels 6 hours at a constant speed of 36 miles per hour. How far does the bus travel?

Amanda [17]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - a bus takes 6 hours to travel a particular distance with a constant speed of 36 km/hr

To calculate - the total distance travel by the bus

We know that ,

$\bold{\longrightarrow \: speed = \frac{distance}{time}} \\$

this formula can be transformed to find out distance , as follows ~

$\bold {\: \longrightarrow \: distance = speed \times time}$

now ,

substituting the values in the formula stated above ,

$\bold{\longrightarrow \: distance = 36 \times 6} \\ \\ \bold{\longrightarrow \: distance = 216 \: km}$

thus ,

the bus travels a distance of 216 km in 6 hours

hope helpful ~

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1 year ago

Read 2 more answers

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Answer:

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Step-by-step explanation:

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3 years ago