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Brilliant_brown [7]
3 years ago
10

Fill in the blanks to rewrite the following statement with variables: Given any positive real number, there is a positive real n

umber that is smaller. (a) Given any positive real number r, there is s such that __________ s is __________ . (b) For any __________ , __________ such that s < r.
Mathematics
1 answer:
sveticcg [70]3 years ago
3 0

Answer:

a) there is s such that <u>r>s</u> and s is <u>positive</u>

b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r

Step-by-step explanation:

a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.

b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.

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3/4•3/4???? I can’t do it in my head and I don’t know how to make a decimal into a fraction
Monica [59]

Answer:

0.5625

Step-by-step explanation:

3/4 as a decimal is 0.75

0.75×0.75=0.5625

4 0
3 years ago
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Hi what is the answerr??
inna [77]

Given:

The rule of input and output function is:

25-g

To find:

The answer if we put 19.

Solution:

Consider the input and output function is:

f(g)=25-g

Substitute g=19, we get

f(19)=25-19

f(19)=6

Therefore, the required answer is 6.

7 0
3 years ago
Find the side length of the square
IgorLugansk [536]

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8 0
3 years ago
Diana is painting statues. She has \dfrac{7}{8} 8 7 ​ start fraction, 7, divided by, 8, end fraction of a liter of paint remaini
anzhelika [568]

Answer:

Number of statues that can be painted are 17

Step-by-step explanation:

Initially Diana has \frac{7}{8} liters of paint remaining.

Every statue requires \frac{1}{20} liters of paint for painting.

We have to find how many statues we will be able to paint with this remaining paint.

To get the number of statues,

Number of statues = \frac{Paint remaining}{Paint required for 1 statue}

number of statues = \frac{\frac{7}{8} }{\frac{1}{20} }

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Since the number of statues is not an integer the maximum number of statues that can be painted are 17.

3 0
3 years ago
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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
asambeis [7]
Building time :
4c + 6a < = 120

testing time :
4c + 4a < = 100

20 child bikes and 6 adult bikes...c = 20 and a = 6
sub into both equations
4c + 6a < = 120
4(20) + 6(6) < = 120
80 + 36 < = 120
116 < = 120 (correct)

4c + 4a < = 100
4(20) + 4(6) < = 100
80 + 24 < = 100
104 < = 100 (incorrect)

ur answer : No, because the bike order does not meet the restrictions of 4c + 6a < = 120 and 4c + 4a < = 100
6 0
3 years ago
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