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3 years ago

How many edges does a tetrahedron have?

Mathematics

1 answer:

True [87]3 years ago

5 0

Answer: six

Step-by-step explanation:

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Given the sequence below, and that sequence has a domain of n 2 1, find the fifth

solmaris [256]

The fifth term of f(n) = n² - 3 is 22

$\texttt{ }$

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

$\texttt{ }$

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

$\texttt{ }$

<u>Given:</u>

f(n) = n² - 3

<u>Asked:</u>

f(5) = ?

<u>Solution:</u>

$\texttt{for } n \geq 1 :$

$f(n) = n^2 - 3$

$f(5) = 5^2 - 3$

$f(5) = 25 - 3$

$f(5) = \boxed{22}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

7 0

4 years ago

Each person in a group of twenty people at a hotel orders one meal chosen from oatmeal, eggs, or pancakes and one hot beverage c

Paraphin [41]

Answer:

$S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),$ $(Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}$

Step-by-step explanation:

Given

$Meal = \{Oatmeal, Eggs, Pancakes\}$

$Beverage = \{Coffee, Tea\}$

Required

Determine the sample space

The sample space is a list of combination of 1 meal and 1 beverage.

Because one individual can order only one of the meals and one of the beverages at any one time, then no two orders can be the same

The sample space (S) is as follows:

$S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),$ $(Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}$

8 0

3 years ago

Consider the graph of the function.

Zina [86]

Answer:B

looks like it has asymptotes but doesnt actually

6 0

3 years ago

Israel has a total of 25 coins in his pocket - they are

antoniya [11.8K]

Answer:

15x 1y

Step-by-step explanation:

im smart

6 0

3 years ago

Hey! Can someone help in indices?

Nataly_w [17]

Answer:

32 × 10^(10k)

Step-by-step explanation:

y = 16 x 10^8k

y^5/4 = ⁴√y^5

= ⁴√16^5 x 10^40k

= ⁴√2^20 x 10^40k

= 2^5 × 10^10k

= 32 x 10^(10k)

6 0

3 years ago