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Rzqust [24]
3 years ago
5

What is the number of ways to arrange 8 objects from a set of 12 different

Mathematics
2 answers:
Lilit [14]3 years ago
8 0

Answer:

A. 19,958,400

Step-by-step explanation:

ollegr [7]3 years ago
3 0
495 because 12 choose 8 is 495
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Can a triangle be formed with the sides lengths of 6 cm, 2cm and 8 cm?
laiz [17]

Answer:

can not

Step-by-step explanation:

3 0
3 years ago
Why are (1,2) and(2,1) not equal ordered pair? ​
vladimir1956 [14]

Answer:

The pairs ( 1 , 2 ) and ( 2 , 1 ) are not equal because their respective elements are not equal.

Step-by-step explanation:

The pair of elements which are in specific order is called an ordered pair. The pair ( 1 , 2 ) is not same as the pair ( 2 , 1 ). In the pair ( 1 , 2 ) 1 is in the first position and 2 is in the second position. In the pair ( 2 , 1 ), 2 is in the first position and 1 is in the second position.

Two ordered pairs ( a , b ) and (c , d ) are said to be equal if a = c and b = d. We write ( a , b ) = ( c , d ).

Hope I helped!

Best regards!!

8 0
3 years ago
Consider the function below. f(x) = ln(x4 + 27) (a) Find the interval of increase. (Enter your answer using interval notation.)
andrezito [222]

Answer:

a) The function is constantly increasing and is never decreasing

b) There is no local maximum or local minimum.

Step-by-step explanation:

To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.

f(x) = ln(x^4 + 27)

f'(x) = 1/(x^2 + 27)

Now we take the derivative and solve for zero to find the local max and mins.

f'(x) = 1/(x^2 + 27)

0 = 1/(x^2 + 27)

Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.

6 0
4 years ago
Andrew uses 630 one-inch unit cubes to completely fill the inside of a rectangular box. Which could be the dimensions of the box
dsp73

we have 630 one-inch unit cubes and we want to completely fill the rectangular box (unknown dimensions).

If all the cubes are fitted tightly inside rectangular box without living any space, then box volume would be equal to cubes volume.

There are 630 one-inch unit cubes, so volume of cubes = 630 cubic inches.

Now the volume of rectangular box would also be 630 cubic inches.

We know the formula for volume of rectangular box = length × width × height.

So we need to find any three positive integers whose product is 630.

Out of all given choices, only option A satisfies the condition of factors of 630.

Hence, option A i.e. (7 in x 9 in x 10 in) is the final answer.

7 0
3 years ago
If line a is perpendicular to line b and the slope of line a is 7 whats the slope of line b
amm1812

Answer:

If a line is perpendicular to another line, that means that the slope is completely opposite that of the original line.  The first thing that we do to the slope is we negate the number which means that if we have a slope of -7 our slope because 7 in this step.  In our case our slope is 7 so in this step it becomes -7.

Moving onto the second part which is to get the reciprocal of the number which means that if we have \frac{1}{2} then we would switch it to 2.  In our case our number is -7 so we would make that into a fraction like this -\frac{1}{7}.

In conclusion, our final slope of the perpendicular line is -\frac{1}{7}.

<u><em>Hope this helps!  Let me know if you have any questions</em></u>

8 0
2 years ago
Read 2 more answers
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