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omeli [17]
3 years ago
11

How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed?

Mathematics
1 answer:
sveta [45]3 years ago
6 0
There are 6 digits.  Each digit can take ten different numbers except for the first digit since it cannot be zero.

So:

9 x 10 x 10 x 10 x 10 x 10

900000 numbers.

Another way of thinking about this is to just count up to 999,999.  Obviously there are 999,999 different numbers here.  But since our number has to have 6 digits in them, we have to delete 99,999 numbers.  Thus there are 900,000 different numbers.
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The standard form of the number 5, 976,000,000,000,000,000,000,000 is​
nirvana33 [79]

Answer:

5.976\times10^{24}

Step-by-step explanation:

<em>Standard form</em>, also called <em>scientific notation</em>, is a more compact way of writing very big or very small numbers. All numbers in scientific notation have the form

m\times10^b

where m is a number between 1 and 10, and b is an integer that represents how we've shifted the decimal point from the original number. For example, the number 23,000 in standard form would be written as 2.3 × 10⁴, since we have to shift the decimal point 4 places to the right to get back our original number.

We can turn 5,976,000,000,000,000,000,000,000 into a number between 1 and 10 by shifting the decimal 24 places to the left, giving us 5.976. We'll save that 24 as the exponent for our 10, giving us the final form

5.976\times10^{24}

5 0
3 years ago
8-3x=17 solve for x and check your answer.
nasty-shy [4]

Answer:

<em>x = 3</em>

Step-by-step explanation:

8 - 3x = 17

<em>You have to switch the 8 to the other side. To do this, you would have to move it after the 17 and add a minus to it, making it a -8 (this is because when a number is switched to the other side of the '=' sign, the number gets 'mirrored' aka positive numbers become negative and negative numbers become positive).</em>

3x = 17 - 8

3x = 9

<em />

<em>Now you have to do the same thing you did with 8 but instead you have to do it with 3. Since 3 has an invisble 'times sign' by it, the number after the equals will be divided by 3 in this case so...</em>

x = 9 ÷ 3

x = 3

4 0
3 years ago
Read 2 more answers
Which term describes the point where the three altitudes of a triangle intersect?
kumpel [21]

Answer: Option (B) is the correct answer.

Step-by-step explanation:

A point at which three altitudes of a triangle meet is known as orthocenter.

Whereas when a circle is inscribed in a triangle and it touches all the sides of a triangle then the center of circle is known as incenter.

When all the three medians of a triangle intersect each other then the point is known as centroid.

Circumcenter is a point where perpendicular bisectors on each side of a triangle bisect and this point is equidistant from all the vertices.



5 0
4 years ago
Read 2 more answers
3(3+2x)=2(-4+3x) has how many solutions?
Delvig [45]

Answer:

no solution

Step-by-step explanation:

6 0
3 years ago
Write an negative number whose absolute value is greater than 3
klio [65]

Answer:

4+is the absolute value is greater than 3

4 0
4 years ago
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