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3 years ago

((Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

Mathematics

1 answer:

gulaghasi [49]3 years ago

3 0

Answer:

Step-by-step explanation:

A series is said to be convergent if |r| < 1. Where r is the common ratio of the series.

If |r| ≥ 1 then the geometric series diverges.

-5 + 25 - 125 + ..

r = -5/25 = -1/5

r = 25/-125 = -1/5

|r| = 1/5

In the series is |r| less than 1. So the series is convergent.

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Step-by-step explanation:

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3 years ago

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Toby wants to find the volume of a solid toy soldier.

mr Goodwill [35]

Answer:

Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

A. 125 B. 156 C. 192 D. 208 E.317

The volume of the toy is 125 cubic cm ,option A is the closest answer.

Step-by-step explanation:

Given:

A rectangular container .

Length of the container =8 cm

Width of the container = 6 cm

Height of the container when water is filled = $(h_1)$ = 4 cm

Height of the container when the toy is submerged = $(h_2)$ =6.6 cm

Volume of the toy = Volume of the container with the toy - Volume of the container (with water)

Volume of the toy = $(l\times b\times h_2) - (l\times b\times h_1)$

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4 years ago

Find n(A) for the following set. <br> A={a,b,c,...,z}

MariettaO [177]

n(A) = 26

Solution:

Let us first define the cardinal number of the set.

Cardinal number of the set:

The number of distinct elements in a finite set is called its cardinal number. It is denoted as n(A).

Given set: A = {a, b, c, .... z}

We know that, there are 26 elements in the alphabet "a to z".

Number of elements in the set A = 26

Hence n(A) = 26.

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3 years ago

Write any 4 laws of exponents.<br>

emmainna [20.7K]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Write any 4 laws, or properties, of exponents.</em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

$\Large\text{Law number 1:-}$

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$\Large\text{It states that:-}$

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If we have a number with a negative exponent, we flip it over.

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}$

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3 years ago

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AysviL [449]

Answer:

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Step-by-step explanation:

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I am really sorry if I'm wrong, but have a good day/night! :)

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