One and seventy six hundredths in decimal

Natalka [10]

The pattern of rule n-4 can consist of several numbers depending on the value of n (integer, whole number, natural number or prime number)

<h3>Further explanation </h3>

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

• 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

• 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

• 3. constants

is a fixed value, can be a number

• 4. arithmetic operations

operations $\boxed {+}, \boxed {-}, \boxed {:}, \boxed {x}$

Numbers in mathematics can be divided into several terms

1. integer

numbers consist of positive, negative and 0 numbers

2. natural numbers

numbers consisting of positive numbers, starting with number 1

3. whole number

a number consists of positive numbers and zeros

4. prime number

numbers that can only be divided by numbers themselves and the number 1

And examples of other numbers such as imaginary numbers, real numbers, rational numbers, etc.

Integers themselves consist of

1. positive integers

the number to the right of the number 0 is 1,2,3 ...

2. negative integers

the numbers to the left of the zeros are -1, -2, -3 ...

3. number 0

n-4 is an algebraic form

the pattern is generated from rule = (n-4)

There are several possible values of n that can be entered to form a pattern

if it's an integer, the value of n = let's say -3, -2, -1,0,1,2,3

pattern = -7, -6, -5, -4, -3, -2, -1, ...

if it's a natural number then the value of n = let's say 1,2,3

pattern = -3, -2, -1, ...

if it's a whole number then the value of n = let's say 0,1,2,3

pattern = -4, -3, -2, -1, ...

if it's prime number then the value of n = let's say 2,3,5,7 ...

pattern = -2, -1,1,3, ....

<h3>Learn more </h3>

Express 0.000431 L answer as an integer

brainly.com/question/10876135

type of number

brainly.com/question/12788761

Classify the number as a natural, whole, integer, rational, or irrational.

brainly.com/question/2731293

Keywords: natural, whole, integer, prime, number

5 0

3 years ago

Read 2 more answers

Is -(x+7)^2+4 a quadratic function?

Oliga [24]

Yes you use the method of your choice to solve (x+7)*(x+7)
Then you distribute the negative -1(x^2+14x+49)
Then you add the four
-x^2-14x-45 should be your answer

5 0

3 years ago

A Hot air balloon can hold 90,000 cubic feet of air. It is being inflated at a rate of 6,000 cubic feet per minute . The total c

mojhsa [17]

$\bf \stackrel{\textit{cubic feet of air}}{\stackrel{\textit{dependent}}{a(t)}}\qquad \stackrel{\stackrel{\textit{time in minutes}}{independent}}{t}~\hspace{7em}a(t)=6000t$

the "t" variable is independent, namely it can change values "freely", and a(t) is dependent, because it depends on those values on "t" to get its own value.

if we make a table of values for minutes, we know the balloon is inflating at 6000 ft³ each passing minute.

1 minute......................... 6000(1) ft³

2 minutes......................6000(2) ft³

3 minutes......................6000(3) ft³

4 minutes......................6000(4) ft³

t minutes......................6000(t) ft³

before getting in the domain and range, let's find out how much air after 6 minutes.

a(6) = 6000(6)

a(6) = 36000 ft³.

now, what domain, namely values for "t" make sense?

well, we know the balloon can only hold up to 90000 ft³, and on every passing minute is filling up by 6000 ft³, after how many minutes will it be filled up?

90000/6000 = 15, after 15 minutes.

so at 0 minutes, t = 0, the balloon is empty, and 15 minutes later, t = 15, the balloon is filled up, [ 0 , 15 ].

what values for the range, namely a(t), makes sense?

well, we know when the balloon is empty is holding 0 ft³, and when is full it has 90000 ft³, [0 , 90000].

5 0

3 years ago

You throw a ball up and its height h can be tracked using the equation h=2x^2-12x+20.

postnew [5]

<em><u>This problem seems to be wrong because no minimum point was found and no point of landing exists</u></em>

Answer:

1) There is no maximum height

2) The ball will never land

Step-by-step explanation:

<u>Derivatives</u>

Sometimes we need to find the maximum or minimum value of a function in a given interval. The derivative is a very handy tool for this task. We only have to compute the first derivative f' and have it equal to 0. That will give us the critical points.

Then, compute the second derivative f'' and evaluate the critical points in there. The criteria establish that

If f''(a) is positive, then x=a is a minimum

If f''(a) is negative, then x=a is a maximum

1)

The function provided in the question is

$h(x)=2x^2-12x+20$

Let's find the first derivative

$h'(x)=4x-12$

solving h'=0:

$4x-12=0$

x=3

Computing h''

h''(x)=4

It means that no matter the value of x, the second derivative is always positive, so x=3 is a minimum. The function doesn't have a local maximum or the ball will never reach a maximum height

2)

To find when will the ball land, we set h=0

$2x^2-12x+20=0$