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Talja [164]
2 years ago
11

Write the equation of the arithmetic and geometricsequences given 15, 5, ...

Mathematics
1 answer:
ivann1987 [24]2 years ago
7 0

Step-by-step explanation:

Arithmetic:

a(n) = a +(n-1)d

a=15

d=5-15=-10

°.° a(n) = 15 +(n–1)-10

Geometric​:

a(n)=a*r^(n-1)

a=15

r=5/15=1/3

a(n)=15*(1/3)^(n-1)

hope this helps

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Si el lunes es el marte del miercoles y el jueves es el viernes del sabado, ¿que dia sera el domingo del lunes?
alex41 [277]

Translated : If Monday is Wednesday's Tuesday and Thursday is Saturday's Friday, what day will Monday be Sunday?

Anwser: Sunday will be monday

5 0
3 years ago
Help me plz if u dont post right answer i will report
Firlakuza [10]

Answer: Wait so you will give me brainliest if I do this?

Step-by-step explanation: :0 mind blown if you do

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3 years ago
Read 2 more answers
Compare the Triangle Proportionality Theorem and the Triangle Midsegment Theorem.
Alenkinab [10]
A midsegment of a triangle is parallel to one side of the triangle, and its length is one half of the length of that side.

If a line is parallel to one side of a triangle and intersects the other two sides, then it divides the sides into segments of proportional lengths.
6 0
3 years ago
Find the area A of the polygon with the given vertices.
Natalija [7]

Answer:

A = 35 square units

Step-by-step explanation:

Formula to calculate the distance between two points (x_1,y_1) and (x_2,y_2) is,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Length of the segment between A(2, 2) and B(9, 2) = \sqrt{(9-2)^2+(2-2)^2}

                                                                                     = 7 units

Length of the segment between B(9, 2) and C(9, -3) = \sqrt{(9-9)^2+(2+3)^2}

                                                                                       = 5 units

Length of the segment between C(9, -3) and D(2, -3) = \sqrt{(9-2)^2+(-3+3)^2}

                                                                                        = 7 units

Length of the segment between A(2, 2) and D(2, -3) = \sqrt{(2-2)^2+(2+3)^2}

                                                                                       = 5 units

Therefore, given polygon is a rectangle.

Area of the rectangle = length × width

                                    = 7 × 5

                                    = 35 square units

4 0
3 years ago
There is another way to rank the difficulty of test questions using Networks: Each student gives scores for each problem, then w
Vlad [161]

Answer:

Step-by-step explanation:

Truly, on a single student level, the Massey method can be applied i.e. problems are ranked according to their level of difficulty for a single student.

Let us say there are 4 problems P1, P2, P3, P4 set in an exam where a student has to solve any two.

Assuming student 1 solves and scores more in P1 than in P2, r1>r2

student 2  more in P1 than P4 r1>r4

student 3 more in P2 than P4 r2>r4

student 4 more in P4 than P3 r4>r3

student 5 more in P2 than P3 r2>r3

and such many more cases.

then the Massey's model can be written as

P1 P2 P3  P4

\begin{bmatrix} 1 &-1 &0 &0\\ 1 &-1 &0 &0 \\ 0 &1 & 0 &-1 \\ 0 & 0 &-1 & 1 \\ 0 & 1 & -1 & 0 \end{bmatrix}.

\times \begin{bmatrix}r1 \\r2 \\r3 \\r4 \end{bmatrix}  =

\begin{bmatrix}y_{1} \\ y_{2} \\ y_{3} \\ y_{4}\\ y_{5}\end{bmatrix}.            

If Pi gives more score than Pj, the entry below Pi shall be 1 and below Pj shall be -1.

The rest of the entries shall be 0.

r1,r2,r3,r4,r5 are ranks .  

There may be more rows depending upon more combination of 2 problems.

Should in case more than one student solve the same combination and get scores in the same order, for instance, 12 students solve P1 and P2, for 7 of them r1>r2, then their scores can be averaged.

Normally, such systems are overdetermined, i.e., more rows than the number of unknowns, then it is solved by the Least square method ., as there shall be no a solution with least error is found out.

The overall ranking, in reverse order, shall give the ranking according to increasing difficulty.

7 0
3 years ago
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