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3 years ago

Find a rational number between - 4 and 8

Mathematics

1 answer:

svet-max [94.6K]3 years ago

7 0

6 is correct for this questions answer

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There are 15 European cities that Kevin would eventually like to visit. On his next vacation, though, he only has time to visit

antoniya [11.8K]

Answer:

32760 different schedules are possible.

Step-by-step explanation:

The order is important.

For example

Prague on Monday, Berlin on Tuesday, Liverpool on Wednesday and Athens on Thursday is a different schedule than Berlin on Monday, Prague on Tuesday, Liverpool on Wednesday and Athens on Thursday.

So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!)}$

How many different schedules are possible?

Choose 4 cities among a set of 15. So

$P_{(15,4)} = \frac{15!}{(15-4)!)} = 32760$

32760 different schedules are possible.

6 0

3 years ago

Are 5 and -5 reciprocals?

Ghella [55]

Yes they are because they are different. Reciprocals is the opposite of a number

5 0

3 years ago

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Logarithms- How to answer these questions?

kotykmax [81]

Answer:

2. m = b³ (= 216)

3. logp(x) = -4

Step-by-step explanation:

2. The given equation can be written using the change of base formula as ...

... log(m)/log(b) + 9·log(b)/log(m) = 6

If we define x = log(m)/log(b), then this becomes ...

... x + 9/x = 6

Subtracting 6 and multiplying by x gives ...

... x² -6x +9 = 0

... (x -3)² = 0 . . . . . factored

... x = 3 . . . . . . . . . value of x that makes it true

Remembering that x = log(m)/log(b), this means

... 3 = log(m)/log(b)

... 3·log(b) = log(m) . . . . . multiply by the denominator; next, take the antilog

... m = b³ . . . . . . the expression you're looking for

___

3. Substituting the given expression for y, the equation becomes ...

... logp(x^2·(p^5)^3) = 7

... logp(x^2) + logp(p^15) = 7 . . . . . use the rule for log of a product

... 2logp(x) + 15 = 7 . . . . . . . . . . . . . use the definition of a logarithm

... 2logp(x) = -8 . . . . . . . . . . . . . . . . subtract 15

... logp(x) = -4 . . . . . . divide by 2

6 0

3 years ago

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Ten measurements of impact energy on specimens of A238 steel at 60 ºC are as follows:

ElenaW [278]

Answer:

Step-by-step explanation:

6 0

3 years ago

Among the following, a perfect number a) 6 b)28 c) 625 d) 100

Verdich [7]

Answer:

28 and 6

Step-by-step explanation:

List the factors (excluding itself):

6: 1, 2, 3,

28: 1, 2, 4, 7, 14

Add them up!

1+2+3=6

1+2+4+7+14=28

if they add up to the original number then the number is perfect.

6 0

3 years ago

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Find a rational number between - 4 and 8 ​

Find a rational number between - 4 and 8