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joja [24]
3 years ago
13

Four mathematicians, three physicists, and an engineer are to be seated equally spaced around a circular table. How many differe

nt arrangements are possible if the mathematicians must all sit together (in four consecutive seats) and the physicists must all sit together (in three consecutive seats)? (As usual, two arrangements are identical if one is a rotation of the other.)
Mathematics
1 answer:
Vesna [10]3 years ago
3 0

First, we can choose the seats for the four mathematicians.  Then we seat the physicits, then the engineer.  There are 4! ways to seat the mathematicians, then 3! ways to seat the physicists, then 1! ways to seat the engineer.  But then we must divide by 8, because we can rotate the table, so there are 8!*4!*3!/8 = 725760 ways to seat everyone.

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jenyasd209 [6]

Answer:

A. Move the decimal point to the left

Step-by-step explanation:

Given that:

The scientific notation = 10⁻¹⁰

Let recall;

That the standard notation usually took the form of an inverse:

For example;

Let say 10⁻¹ will be \dfrac{1}{10} in scientific notation;

SO, \dfrac{1}{10} = 0.1

Now; we are given 10⁻¹⁰ as a scientific notation,

To standard notation, we get:

10^{-10} = \dfrac{1}{100}

= 0.01

Thus, it is true to say that the decimal point will be moved to the left side when converting a number from scientific notation to standard notation if the power of 10 is  -10.

4 0
2 years ago
A set of numbers is shown below: {0, 0.6, 2, 4, 6} Which of the following shows all the numbers from the set that make the inequ
Lorico [155]
The given equality hold true when x = 2.

Put x = 2 in inequality.

2(2) + 3 = 4+3 = 7 = R.H.S.

For x = 4 and 6, L.H.S(2x+3) is greater than 7.

Hence for x = 2, 4 and 6, the above inequality holds true.

Hope this helps!
3 0
3 years ago
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Round 496179.784414 to the nearest thousand
FrozenT [24]

Answer:

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grandymaker [24]

Answer:

14

Step-by-step explanation:

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The answer is j.
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