Find the oth term of the geometric sequence 9, -18,36,... Pls helpllllll

Mathematics

1 answer:

Sophie [7]3 years ago

6 0

Step-by-step explanation:

oth term ? please check.

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A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in. The prism is filled with cubes that have

wariber [46]

The prism is (8 in)/(1/4 in/cube) = 32 cubes by (4 in)/(1/4 in/cube) = 16 cubes by (9/4 in)/(1/4 in/cube) = 9 cubes.

The number of cubes needed to fill the prism is
.. 32 * 16 * 9 = 4608

7 0

4 years ago

A town has a population of 13000 and grows at 4.5% every year. To the nearest tenth of a year, how long will it be until the pop

ELEN [110]

Answer:

Correct answer: n = 5.96 ≈ 6 years

Step-by-step explanation:

Given:

Currently population P = 13,000

The percentage annual population growth is 4.5 % or in decimal notation

p = 1.045

Population after n years Pₙ = 16,900

Work:

After first year it will be P₁ = P · p

After second year it will be P₂ = P₁ · p = P · p²

After third year it will be P₃ = P₂ · p² = P · p³

.....................................................................................

After n-th year it will be Pₙ = P · pⁿ

pⁿ = Pₙ / P

n = log p (Pₙ / P) = ln (Pₙ / P) / ln p

n = ln (16,900/ 13,000) / ln 1.045 = ln 1.3 / ln 1.045 = 5.96 ≈ 6

If we accept n = 5.9 we will get:

Pₙ = P · pⁿ = 13.000 · 1.045⁵°⁹ = 16,855

If we accept n = 5.96 we will get:

Pₙ = P · pⁿ = 13.000 · 1.045⁵°⁹⁶ = 16,899.6

If we accept n = 6 we will get:

Pₙ = P · pⁿ = P₆ = P · p⁶ = 13.000 · 1.045⁶ = 16,929.38

What you will accept is yours choice.

God is with you!!!

5 0

4 years ago

Read 2 more answers

Geometry math show work thanks

Deffense [45]

Part (a)

The angles would stay the same. This is because similar figures keep the same shape, but the size will shrink or grow.

A real world application is to simply move your head closer to the page and the figure will appear to get larger. The angles themselves stay the same but the side lengths will get larger.

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Part (b)

While the angles stay the same under a dilation operation, the side lengths do not. As the instructions state: "The side lengths are 3 times longer" (paraphrased).

So we multiply each side length in the diagram by 3