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3 years ago

Example of an irrational number that is less than 2 and greater than 1.5

Mathematics

1 answer:

disa [49]3 years ago

6 0

For this case, the first thing you should do is take into account the irrational number definition.

An irrational number is one that can not be written as the quotient between two whole numbers.

Their number of decimals is unlimited and they are not periodic.

An irrational number within the specified domain is:

π/2 = 1.570796327

Answer:

an example of an irrational number that is less than 2 and greater than 1.5 is:

π/2 = 1.570796327

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Which equation can be used to determine p, the cost of s swimsuits

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3 years ago

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PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

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3 years ago

What is the square root of 365

valina [46]

19.1 should be your answer

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3 years ago

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PLZ HELP ITS DUR RIGHT NOW AND PLZ ANSWER TRUTHFULLY

yuradex [85]

Answer:

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Step-by-step explanation:

(n-2)•180 = Sum of all the interior angles

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(7-2)•180

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Add all the angles and equal them to 900

125+122+131+x+7+x+107+x-15=900

Add all the numbers up first on the left side

477+3x=900

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x=141

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3 years ago

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Eduardwww [97]

Answer:

the answers are true, false, true.

Step-by-step explanation:

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3 years ago

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