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2 years ago

What are the different options and sizes for the computer mouse?

Advanced Placement (AP)

1 answer:

Maslowich2 years ago

6 0

I don t know the options bc i m using the largest one xd:

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Explain in detail, how you solved the following problem: The first two terms of a sequence are 10 and 20. If each term after the

KIM [24]

Answer:

$T_{2020} = 15$

Explanation:

Given

$T_1 = 10$

$T_2 = 20$

Each term after the second term is the average of all of the preceding terms

Required:

Explain how to solve the 2020th term

Solve the 2020th term

Solving the 2020th term of a sequence using conventional method may be a little bit difficult but in questions like this, it's not.

The very first thing to do is to solve for the third term;

The value of the third term is the value of every other term after the second term of the sequence; So, what I'll do is that I'll assign the value of the third term to the 2020th term

This is proved as follows;

From the question, we have that "..... each term after the second term is the average of all of the preceding terms", in other words the MEAN

$T_{n} = \frac{\sum T{k}}{n-1} ; where: k = 1 .... n -1$

Assume n = 3

$T_{3} = \frac{T_1 + T_2}{2}$

Multiply both sides by 2

$2 * T_{3} = \frac{T_1 + T_2}{2} * 2$

$2T_{3} = T_1 + T_2$

Assume n = 4

$T_{4} = \frac{T_1 + T_2 + T_3}{3}$

$T_{4} = \frac{(T_1 + T_2) + T_3}{3}$

Substitute $2T_{3} = T_1 + T_2$

$T_{4} = \frac{2T_3 + T_3}{3}$

$T_{4} = \frac{3T_3}{3}$

$T_{4} = T_3$

Assume n = 5

$T_{5} = \frac{T_1 + T_2 + T_3 +T_4}{4}$

$T_{5} = \frac{(T_1 + T_2) + T_3 +(T_4)}{4}$

Substitute $2T_{3} = T_1 + T_2$ and $T_{4} = T_3$

$T_{5} = \frac{2T_3 + T_3 +T_3}{4}$

$T_{5} = \frac{4T_3}{4}$

$T_{5} = \frac{(5-1)T_3}{5-1}$

Replace 5 with n

$T_{n} = \frac{(n-1)T_3}{n-1}$

(n-1) will definitely cancel out (n-1); So, we're left with

$T_{n} = T_3$

Hence,

$T_{2020} = T_3$

Calculating $T_3$

$T_{3} = \frac{10 + 20}{2}$

$T_{3} = \frac{30}{2}$

$T_{3} = 15$

Recall that $T_{2020} = T_3$

$T_{2020} = 15$

3 0

3 years ago

Paano tinitiyak ng halalan sa pilipinas ang pagiging demokratiko ng bansa?

Vesna [10]

Answer: Ang eleksiyon o halalan (election) ay isang pormal na proseso ng pagpapasiya kung saan ang isang populasyon ay pumipili ng mga indibidwal na hahawak ng isang publikong opisina. Ang mga halalan ang karaniwang mekanismo kung saan ang modernong kinatawan ng demokrasya ay isinasagawa simula ika-17 siglo. Ang mga halalan ay maaaring humalal ng sangay na ehekutibo, mga miyembro ng lehislatura, at minsan ay ng hudikatura gayundin ng mga miyembro ng pangrehiyon at lokal na gobyerno.

HOPE THIS HELPS

6 0

3 years ago

Native Americans call the river muhheakantuk the river that flows both ways. Why do you think this is?

lozanna [386]

Muhheakantuck translates to Hudson, referring to the river's natural flow of both ways.

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3 years ago

Juan hires an electrician. • Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. Write a fu

Elanso [62]

Answer:

The answer is 6

Explanation:

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3 years ago

A wind turbine has a capacity of 3 mw

Svetradugi [14.3K]

The output of a wind turbine depends on the turbine's size and the wind's speed through the rotor. An average onshore wind turbine with a capacity of 2.5–3 MW can produce more than 6 million kWh in a year

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2 years ago

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