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Oksi-84 [34.3K]
2 years ago
15

Determine the number of ways she can arrange her daily schedule.

Mathematics
1 answer:
natita [175]2 years ago
3 0

Answer:

This can be found by using the permutations and combinations formuals.

Combinations being the C equation and Permutations being the P equation.

P(n,r)=\frac{6!}{(6-6)!}=720

Explanation:

A permutation is used for the list of data (where the order of the data matters) and the combination is used for a group of data (where the order of data doesn't matter).

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Linear equations 3(x+1)=3x+3
vaieri [72.5K]
4x + 2 - 3x + 5 - 2(x + 5) = (2x - 5) + (3x + 4) 
4x + 2 - 3x + 5  - 2x - 10 =   2x - 5 +   3x + 4 
4x - 3x - 2x + 5 + 2 - 10  =  2x + 3x - 5 + 4 
        - x             - 3           =       5x       - 1   
-x - 3 = 5x - 1 is the line above recopied 
+x     = +x       
    -3   = 6x - 1 
<span>    +1   =    + 1 </span>
    - 2   = 6x 
    - 2/6 = 6x/6 
    - 1/3 = x, the answer
3 0
3 years ago
Graph the six terms of a finite sequence where a_1 = -3 and r = 1.5
marysya [2.9K]
Here's a graph of those terms.

6 0
3 years ago
Which example would represent a negative number? Question 5 options: spending money gaining weight the temperature rising having
Angelina_Jolie [31]
Spending money, since your amount of money is decreasing, which is negative
4 0
3 years ago
Hello please help i’ll give brainliest
dlinn [17]

Answer:

<h2><em><u>The</u></em><em><u> </u></em><em><u>sun</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>e</u></em><em><u>arth's</u></em><em><u> </u></em><em><u>interior</u></em><em><u> </u></em></h2>

Step-by-step explanation:

As,

The Earth has two basic sources of energy -

  1. <em><u>Earth's</u></em><em><u> </u></em><em><u>I</u></em><em><u>n</u></em><em><u>t</u></em><em><u>e</u></em><em><u>r</u></em><em><u>i</u></em><em><u>o</u></em><em><u>r</u></em><em><u>-</u></em><em><u> </u></em>hat reaching the Earth from the Sun (Solar Energy) and that reaching the surface of the Earth the Earth itself <em><u>(Internal or Geothermal Energy). </u></em>
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5 0
3 years ago
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: \frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3} square units

(22)

Similar to (21)

Area = 216\sqrt{3} square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

altitude=\frac{\sqrt{3}}{2}*side

side = \frac{36}{\sqrt{3}}

Hence, area of the hexagon will be: 648\sqrt{3} square units

(24)

Given is the inradius of an equilateral triangle.

Inradius = \frac{\sqrt{3}}{6}*side

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = \frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3} square units

4 0
3 years ago
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