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Grace [21]
3 years ago
12

How many ways are there to arrange 7 distinct red and 5 distinct blue balls in a row such that:?

Mathematics
1 answer:
BARSIC [14]3 years ago
5 0
You can change them around up to 144 times.
You might be interested in
Can anyone help me with these two problems? I found the distance to one. Please, assignment is due tonight. Thank you.
klasskru [66]

Answer:

  32 mi @ N77°E

Step-by-step explanation:

The route of travel forms legs of a right triangle, so the final distance (d) from harbor can be found using the Pythagorean theorem:

  d² = 28² +16² = 784 +256 = 1040

  d = √1040 ≈ 32.249 . . . miles

___

The angle (α) added to the original N47°E bearing can be found using the fact that opposite and adjacent sides are given. So, they can tell you the tangent of the angle:

  tan(α) = 16/28

  α = arctan(16/28) ≈ 29.74°

Then the bearing to the final position is ...

  47° +29.74° = 76.74°  . . . . . east of north

Rounded to whole numbers, the final position from harbor is ...

  32 miles @ N 77° E

6 0
3 years ago
Read 2 more answers
Ed is planning daily walking workouts on the same distance of 12 km in the morning and in the evening. Usually he is walking at
ycow [4]

Let the rate of walking in the evening be = x km/h

As Ed wants to walk at a rate if 1 km/h more in the morning, then rate in morning becomes = x+1 km/h

So, distance is 12 km, speed is x+1 km/h

time=\frac{distance}{speed}

Total time is = 5 h 24 m or convert it into hours, it becomes 5.4 hours

Time in morning becomes =\frac{12}{x+12}

Time in evening becomes =\frac{12}{x}

So equation becomes= \frac{12}{x+1}+\frac{12}{x}=5.4

Solving this quadratic equation, we get, x= -5/9 or x=4

As X cannot be negative so neglect -5/9.

Solving by using x=4, we get rate as x= 4+1 =5 km/h

Hence, rate in the morning is 5 km/h.

8 0
4 years ago
A triangle has side lengths of 12, 15, and x. The value of x must ne greater than what?
Bezzdna [24]

Answer:

  3 < x < 27

Step-by-step explanation:

We can't tell what "must ne greater" means, so we'll tell you the limits on the side length and you can choose the one that is relevant.

The third side of a triangle must have a length that lies between the difference and sum of the two lengths you know.

 15 -12 = 3

  15 +12 = 27

The value of x must be between 3 and 27:

  3 < x < 27

__

If you allow the triangle to have zero area, then x can be 3 or 27. Many authors claim such a "triangle" is not allowed, so don't allow those cases.

7 0
4 years ago
Is this increasing decreasing or constant F(x)=3x
Zanzabum
Hello : 
<span>this increasing function  F(x)=3x because : the slope 3
is positif</span>
7 0
3 years ago
If there are 210 student and only 46 students get a permission slip to holiday hills what is the percent of the student who did
Eduardwww [97]
First you would find the difference of 210 and 46, so 210-46=164.
Then you will divide the solution by the total number of students, so
164 divided by 210.
164/210= about .780 or 78%
8 0
3 years ago
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