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Varvara68 [4.7K]
3 years ago
11

For any two real numbers, a and b one and only one of these relations is true:

Mathematics
1 answer:
marshall27 [118]3 years ago
4 0

Answer:

For real numbers according to the Law of Trichotomy,

if a = b then a will never be greater than b and a will never be less than a.

if a<b then a will never be equal to b and a will never be greater than b.

if a>b then a will never be less than b and a will never be equal to b.

And vice versa to b as well.

That means only one property will hold for given two numbers.

You might be interested in
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
natka813 [3]
Production cost = one time cost + variable costs

Let the number of published books for equal production costs be n.

Using the first method:
production cost = 18,853 + 19.75n
Using the second method:
production cost = 64,853 + 8.25n

Now, we need the two production costs to be equal:
18,853 + 19.75n = 64,853 + 8.25n

Solve for n as follows:
18,853 + 19.75n = 64,853 + 8.25n
19.75n - 8.25n = 64,853 - 18,853
11.5n = 46000
n = 46000/11.5
n = 4000 books






6 0
3 years ago
The volume of the cube is 216 cubic units what is the side length
Naddik [55]

The side length is six units.

A cube has three measurements: length, width, and height

All the measurements have to be the same.

This allows you to cube root.

The cube root of 216 is 6.

The side length of the cube is 6 units.

Check:

6 * 6 * 6 = 216.

It is correct, so our answer is proven to be correct.

7 0
4 years ago
Read 2 more answers
When a number is tripled,the results is -33
defon

Answer:

x = -11

Step-by-step explanation:

Considering tripled means multiplied by 3 because of tri, we know that we can use the equation 3x = -33.

To solve this we can divide both sides by 3:

3x = -33

x = -11

This gives our answer of -11.

4 0
3 years ago
Can some one please help!!!
LenKa [72]
120×2 maybe? hope I helped
5 0
3 years ago
The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.
KonstantinChe [14]

Using an exponential function, the inequality is given as follows:

9400(0.857)^t < 6000

The solution is t > 2.9, hence the tax status will change within the next 3 years.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

For this problem, the parameters are given as follows:

A(0) = 9400, r = 0.143.

The population after t years is modeled by:

A(t) = A(0)(1 - r)^t

A(t) = 9400(1 - 0.143)^t

A(t) = 9400(0.857)^t

The tax status will change when:

A(t) < 6000

Hence the inequality is:

9400(0.857)^t < 6000

Then:

(0.857)^t < \frac{6000}{9400}

\log{(0.857)^t} < \log{\left(\frac{6000}{9400}\right)}

t\log{0.857} < \log{\left(\frac{6000}{9400}\right)}

Since both logs are negative:

t > \frac{\log{\left(\frac{6000}{9400}\right)}}{\log{0.857}}

t > 2.9.

The solution is t > 2.9, hence the tax status will change within the next 3 years.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

7 0
2 years ago
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