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3 years ago

Can a real number be both rational and irrational?

1 answer:

8 0

Rational Numbers. Both rational and irrational numbers are real numbers. ... A rational number is anumber that can be expressed as a fraction or ratio. The numerator and the denominator of the fraction areboth integers.

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I'm honestly conflicted between C and D. Help.

hichkok12 [17]

It’s B. because 6•6=36 and B shows a little over six so B would be your answer.

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3 years ago

Read 2 more answers

Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

miv72 [106K]

Hint :-

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
Notice the terms beginning from 2nd term , $4,7,10,13$ . Next term is obtained by adding 3 to the previous term .

Solution :- 

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in Geometric Progression where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

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2 years ago

Which expression is equivalent to 2(3g – 4) - (8g + 3)?

Brilliant_brown [7]

Answer:

The Answer is D

Step-by-step explanation:

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3 years ago

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Solving by factoring

puteri [66]

Answer:

Step-by-step explanation:

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3 years ago

What percent is 608 million of 845 million? Round to the nearest 100th place and Enter your answer with the percent symbol.

bezimeni [28]

Answer: 72%

Step-by-step explanation: Well, we want to know what percent 608 is of 845, so to solve that, let's call 845 100%, as we're solving it terms of 845. 845 is 100%, then it follows that 8.45 is 1%.

Now we can see how many 8.45's go into 608, which comes out to 71.95266...%, which can be rounded nicely to 72%

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3 years ago