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2 years ago

Which of the following statements is correct?

Advanced Placement (AP)

2 answers:

krok68 [10]2 years ago

8 0

A) Cars typically lose the most value in the first year after purchase

borishaifa [10]2 years ago

5 0

The correct answer is B to the question

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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 $T_{2020} = T_3$

$T_{2020} = 15$

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3 years ago

The Constitution's preservation of state governments is accomplished through __________.

nirvana33 [79]

The Constitution's preservation of state governments is accomplished through Federalism.

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3 years ago

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Does data from mass spectrometry indicate that modern scientists have made modifications to Dalton's model? Justify.

serious [3.7K]

Yes, the data from mass spectrometry has helped modern scientists to make modifications to Dalton's model.

Dalton's model consisted of a single atom and that basically the atom is the smallest object. At the time, no discovered what are inside of atoms.

Atoms are made up of small particles, protons, neutrons and electrons. A mass spectrometer is an instrument that is able to see what is inside an atom. With this item, scientists have proved that atoms are not the smallest in the world cause the objects in them are smaller.

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2 years ago

Prompt

postnew [5]

Answer and Explanation:

According to Von Thünen's arrangement around the market, the city is the center of the production process, but it is the one that contributes with lesser responsibilities in relation to the analysis of economic problems, as it is located in a smaller area and with less economic impact. The areas of milk production are larger than the areas of the city and, successively, the areas of pastures, forests and grain fields are larger than the other ones, and the larger, the more responsiveness within the presentation market, as well as a greater econometrics in the economic process of a region.

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3 years ago

Which was the first ever fully animated feature?

Naddika [18.5K]

The answer is C I know that you have a lot to say to you and you know 72

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3 years ago