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2 years ago

You have a stack of pennies without counting the pennies, how can you know if there is a odd or even number of them

2 answers:

8 0

Suppose that you have a stack of pennies. If you want to know without counting whether there is an odd or even number of pennies, then you have to split them into two parts, for example, placing one coin left and one coin right.

If the number of pennies is even, then no coins will left, if the number is odd, then one coin will be extra.

ratelena [41]2 years ago

7 0

You can put the pennies in 2 rows, if they match then they are even, if not they are odd

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Which expressions simplify to a rational answer? Select each correct answer. 29√⋅4√ 3√⋅16−−√ 73⋅−√3√ 5√⋅5√

PolarNik [594]

Answer:

The correct options are 1, 3 and 4.

Step-by-step explanation:

We need to find the expressions whose simplified form is a rational number.

Rational number: If a number is defined in the form of p/q where p and q are integers and q≠0, then it is called a rational number.

For example: 0,2, 4.3 etc.

Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.

First expression is

$2\sqrt{9}\cdot \sqrt{4}=2(3)\cdot (2)\Rightarrow 6\cdot 2=12$

12 is a rational number.

Second expression is

$\sqrt{3}\cdot \sqrt{16}=\sqrt{3}\cdot 4\Rightarrow 4\sqrt{3}$

$4\sqrt{3}$ is an irrational number.

Third expression is

$7\sqrt{3}\cdot \sqrt{3}\Rightarrow 7\cdot 3=21$

21 is a rational number.

Fourth expression is

$\sqrt{5}\cdot \sqrt{5}=5$

5 is a rational number.

Therefore, the correct options are 1, 3 and 4.

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2 years ago

Find the first three terms of the arithmetic series described.<br><br> a_1=1,a_n=19,S_n=100

Rudik [331]

Answer:

1, 3, 5

Step-by-step explanation:

The sum of an arithmetic series is:

S_n = n (a_1 + a_n) / 2

100 = n (1 + 19) / 2

n = 10

The nth term of an arithmetic sequence is:

a_n = a_1 + d (n − 1)

19 = 1 + d (10 − 1)

d = 2

The common difference is 2. So the first three terms are 1, 3, and 5.

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bogdanovich [222]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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LiRa [457]

Answer:

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Step-by-step explanation:

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