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Tpy6a [65]
3 years ago
15

Choose three intervals on the real number line that contain both rational and irrational numbers. Do you think that any given in

te number line contains both rational and irrational numbers? Explain.
Mathematics
1 answer:
Helen [10]3 years ago
3 0

Any real number line ranges from negative infinity to positive infinity. A real number number line consists of all the rational and irrational numbers. Let us take three intervals which contain both the rational and irrational numbers.

First interval:  [3,4]

Since every integer is a rational number, 3 and 4 are both rational. In this interval there occurs the value of π (3.14159..) which is an irrational number.

Second interval :  [0,2]

0 and 2 are integers and hence are rational. In this interval, occurs √2 (1.41421...) is an irrational number.

Third interval : [2,3]

In this interval, Eulers number 'e' lie whose value is (2.718281.. )

Hence we can conclude that, there occurs an irrational number between any two rational number.

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I rlly need help with this gr 11 math problem
prohojiy [21]

Answer:

a) \frac{d-5.50}{0.45}

b) The inverse function is a reflection of the original function across the line

y = x. For example, if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x. So you would use it to find the x-value at a y just like you use the original to find the y value at an x.

Step-by-step explanation:

To do an inverse of a function you first switch the independent variable (d) and the dependent variable (c).

d = 0.45c + 5.50

Then you solve for c

d - 5.50 = 0.45 c

c = (d-5.50)/0.45

8 0
3 years ago
There are five identical blue books, two identical green books, and three identical black books. How many different patterns can
dsp73

Answer:

2520 patterns

Step-by-step explanation:

In 'n' 10!  ways, books can be arranged. But, there are also 5! permutation of blue books 'n1', 2! permutation of identical green books 'n2', and 3! permutation identical black books 'n3'.

Therefore, for non identical arrangements:

\frac{n!}{n1!n2!n3!}

\frac{10!}{5!2!3!} = 2520

Therefore, the books can be arranged on a shelf in 2520 patterns

8 0
3 years ago
Solve for x. Round to the nearest tenth, if necessary.
DENIUS [597]

Answer:

x=3.5 cm

Step-by-step explanation:

90/2 = 45 degrees

Soh Cah Toa

We have opposite and hypotenuse making sin.

Length×Sin(Angle)

5×Sin(45) = 3.53553cm

Rounded the the nearest tenth makes 3.5cm

6 0
3 years ago
Tom drove 130 Miles at the speed of 65 mph, and then 200 more miles at the speed of 30 mph. What was his average speed for the e
ch4aika [34]
47.5 mph- because 30+65 equals 95 and 95 divided by 2 is 47.5
7 0
3 years ago
What proof do you see that contaminated water seeped into the well? How could scientists use a similar approach to understand wa
Veseljchak [2.6K]

Answer:

because of the fungus that may have growne is the asnwer

Step-by-step explanation:

6 0
2 years ago
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