Select the set or sets the real number, -144, belongs to. O Rational O Irrational O Natural Integer U Whole
Answers
Rational numbers mean any number that can be represented in the form of p/q given that q is not equal to zero.
-12 can be written in this form, that is -12 = -12/1. This means Rational is a correct choice.
Irrational numbers mean the opposite of rational numbers as defined above, this means Irrational is a wrong choice.
Natural: A natural number is an integer greater than 0. Natural numbers begin at 1 and increment to infinity: 1, 2, 3, 4, 5, etc. For this question, -12 does not fall into this definition, hence, Natural is a wrong choice.
Integers: Integers mean whole numbers. They can be positive whole numbers or negative whole numbers. -12 is a whole number. Hence, Integer is a correct choice
Whole: Whole means positive integers or zero. -12 is not a positive number, this makes whole a wrong choice.
Hence, the correct choices are :
-Rational
-Integer
Related Questions
Help me please
Greatest Common Factor
Answers
Answer:
Step-by-step explanation:
Let's first look at the coefficients: 10, -15, 20
The GCF of these numbers is 5 (all numbers are divisible by 5, nothing larger).
Next, let's look at the \(x\) terms: \(x^{3}, x^{4}, x^{5}\)
The GCF of these terms is \(x^{3}\) (find the lowest exponent)
Finally, let's look at the \(y\) terms: \(y^{5}, y^{8}, y^{6}\)
The GCF of these terms is \(y^{5}\) (find the lowest exponent)
This gives us a GCF of \(5x^{3}y^{5}\)
Answer:
5x^3y^5
Step-by-step explanation:
Simone paid $5.25 for 3 pounds of apples. Which equation represents the cost, in dollars, C, of buying a pounds of apples?
C = 1.75a
C = 2.25a
C = 1.75 + a
C = 2.25 + a
Explain whatever the answer is.
Answers
iv) if BC=5√2 cms, AC=7 cms, find sec B, cosec C, tan B, cot C.
Answers
Answer:
Therefore, the values are sec B = 5√2, cosec C = 7, tan B = 1/7, and cot C = 7.
Step-by-step explanation:
Given the lengths of BC and AC as BC = 5√2 cm and AC = 7 cm, we are tasked with finding the values of sec B, cosec C, tan B, and cot C.
Using the Pythagorean theorem, we can determine the length of the third side of the right triangle. Subtracting the square of AC from the square of BC, we obtain AB^2 = (5√2)^2 - 7^2 = 50 - 49 = 1. Taking the square root of 1, we find AB = 1 cm.
Now we can calculate the trigonometric ratios:
sec B = BC / AB = (5√2) / 1 = 5√2
cosec C = AC / AB = 7 / 1 = 7
tan B = AB / AC = 1 / 7
cot C = AC / AB = 7 / 1 = 7
Therefore, the values are sec B = 5√2, cosec C = 7, tan B = 1/7, and cot C = 7.
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Express each set using the roster method
A. The set of natural odd numbers greater than 2, but less than 11
B. {x|x€N and 4
Answers
The elements using rooster-method:
A){3,4,5,6,7,8,9,10}
B){5,6,7,8,9,10,11,12,13,14}
What is rooster-method?
By listing the items of a set inside brackets, the roster method may be used to display the elements of a set. One of three ways to describe a set is in rooster form. The items of a set are listed in the roster form between curly or following brackets, with commas separating each element. When items repeat in the set, the roster approach actually has an issue. Because the elements do not follow a pattern or have a specific order, it is impossible to describe the elements in roster notation if the set has a significant number of elements or any repeated elements.
A)Set of natural odd numbers greater than 2 but less than 11:
Let us represent the set using symbol O:
O = {3,4,5,6,7,8,9,10}
B){x| x∈ N and 4<x<15}
Given that x is a natural number greater than 4 but less than 15.
X={5,6,7,8,9,10,11,12,13,14}
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Nadine asked 50 people what subject they like most in math, English and science. Here is some information about its results. 19 of the 25 men said they liked science the most. 5 females said they liked English the most. Of the 7 people who said they liked math the most, 4 were women. Determine the number of people who like science the most.
Answers
Answer:
25 People said they liked science the most.
Step-by-step explanation:
it says 19 of 25, thus meaning its 25 men
Answer:
35
Step-by-step explanation:
25 men, 25 women
19/25 men like science
5/25 women like english
3/25 men like math
4/25 women like math
31/50 people have chosen something as the information given tells
4+5=9 25-9=16
16+19=answer the answer is 35
Help needed Asap on calc practice problems
Answers
Answer:
Integrate from 3 to 1 and then you should get 4/3
So C.
the area of a circle is 94pi squared meters. What is the radius of the circle?
Answers
Answer: 47
Step-by-step explanation:
Radius is half of a crickets so if you divide 94 by 2 you will get 47
RSTUV - EABCD. Find AE.
T
8
C
U
6
4
S
B
D
6
v
4
A
R
m
AE =
Answers
9514 1404 393
Answer:
AE = 3
Step-by-step explanation:
First of all, we need to find corresponding sides that are defined in both figures. The table below shows the given values.
From the table, we can write the proportion ...
EA/RS = BC/TU . . . corresponding sides are proportional
EA/6 = 4/8 . . . . . . . substitute given lengths
EA = 6(4/8) = 3
The length of AE is 3 units.
Which number should come next in the series? 13, 57, 911, 1315, 1719?
Answers
Answer:
2123
like 1+4=5
3+4=7
Step-by-step explanation:
All odd numbers beginning from one, in a series.
Also: Starting with 13, add 4 to each digit separately, and continue adding 4 to the result.
Answer:
Solution,
Finding;
Difference between each number
1719-1315=404
1315-911=404
911-57=854
57-13=44
Here,4 is being added to both digits of the number. So the next number will be 17+4=21 and 19+4=23 which is 2123. So the next number to this series will be 2123.
Step-by-step explanation:
Hope it helped you.
Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
Answers
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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Which expression is equal to the polynomial below 2x^4+5x^3-8x-20
Answers
The expression that is equal to the given Polynomial expression is (x^3-4)(2x+5).
The polynomial expression given is 2x^4+5x^3-8x-20. We have to identify the expression that is equal to this given polynomial expression.
We will factor the given polynomial expression to determine the equivalent expression. We can use factorization by grouping to factor the expression completely and determine the equivalent expression .
Factorization by grouping:
We can group the first two terms 2x^4 and 5x^3 together and factor out x^3 from them. We can also group the last two terms -8x and -20 together and factor out -4 from them.
This gives us;2x^4+5x^3-8x-20= x^3(2x+5)-4(2x+5) =(x^3-4)(2x+5)
Therefore, the expression that is equal to the given polynomial expression is (x^3-4)(2x+5).
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In your English class, you are given a list of 12 books. You are to choose 3 books to read over the summer. How many different groups of 3 books
are available from the list of 12?
There are
____
different groups.
Answers
Answer:
4
Step-by-step explanation:
12÷ 3 (books)=4
Using combinations, 15400 different groups of 3 books are available from the list of 12.
What is combinations?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.
Given
Total number of books = 12
You are to choose 3 books to read over the summer.
Number of different group of 3 books = \(\frac{12C_{3}.(9C_{3}).(6C_{3}).(3C_{3} ) }{4!}\)
= \(\frac{\frac{12!}{3!9!} .\frac{9!}{3!6!} .\frac{6!}{3!3!} }{4!}\)
= 15400.
Thus, 15400 different groups of 3 books are available from the list of 12.
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Help me on this quick?!
Answers
Answer: The lines below are perpendicular.
Step-by-step explanation: They are perpendicular because they start at one side and end at the side across. Hope this helped!!! :)
Seventy-five 6th- grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?
Answers
25% = 75/x
To solve for x, we can cross-multiply:
0.25x = 75
Then, we can divide both sides by 0.25:
x = 300
Therefore, there are 300 6th-grade students in total.
MY FRIEND NEED HELP !
find the least common denominator for the following fractions: 3/8 and 2/3
Answers
answer:
number 4
Step-by-step explanation:
24 ? 8×3=24
Graph h(x)=3cos(2x)−1.
Use 3.14 for π.
Answers
Step-by-step explanation:
the answer is in the attachment
Answer:
The right answer is in yellow.
Step-by-step explanation:
Took the quiz :)
rewrite the given rational expression in simplest form x⁴+4x³-3x²/x²A) x²+4x-3B) x²+4xC) x²+xD) x³+4x²-3x
Answers
rewrite the given rational expression in simplest form x⁴+4x³-3x²/x²
A) x²+4x-3
B) x²+4x
C) x²+x
D) x³+4x²-3x
we have
\(\begin{gathered} \frac{\mleft(x^4+4x^3-3x^2\mright)}{x^2} \\ Simplify \\ \\ \frac{x^4}{x^2}+4\frac{x^3}{x^2}-3\frac{x^2}{x^2} \\ x^2+4x-3 \end{gathered}\)therefore
the answer is the option A
A firm makes two products X and Y, and has a total production capacity of 9 tones per day, X and Y requiring the same production capacity. The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company. Each tone of X requires 20 machine hours of production time and each tone of Y requires 50 machine hours of production time. The daily maximum possible number of machine hour is 360. All the firm’s output can be sold, and the profit made is birr 80 per tone of X and birr 20 per tone of Y. it is required to determine the production schedule for maximum profit.
Answers
The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960
How to solve Linear Programming problems?We are told that two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity
The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.
Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;
x + y ≤ 9
x ≥ 2
y ≥ 3
Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;
20x + 50y ≤ 360
Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;
Z = 80x + 120y maximize
The solution from the graph attached is;
x = 3, y = 6
Thus, the maximum profit is;
Z = 80(3) + 120(6)
Z = 960
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does thes formula for surface area of a cylinder work for right cylinders and oblique cylinders true or false
Answers
The height h, on the other hand, denotes the slant height for oblique cylinders, which is the distance between the two circular bases on a straight line.
how can you describe cylinder ?Two identical parallel spherical bases and a curving surface connecting the bases make up the three-dimensional geometric object known as a cylinder. It can be compared to a prism with rounded bases.
A line connecting the centres of the circle bases is the axis of a cylinder. The possibility that the axis is straight to the bases determines whether a cylinder is right or oblique.
Diagonal cylinders have bases that aren't perpendicular to the axis while right cylinders have bases that are perpendicular to the axis.
given
Both right and oblique cylinders can be calculated using the surface area of a cylinder formula, A = 2r2 + 2rh.
The height h, on the other hand, denotes the slant height for oblique cylinders, which is the distance between the two circular bases on a straight line.
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Please help graph this math question
Answers
Answer:
c and d
Step-by-step explanation:
AB×6=BBB (playing with numbers.)
Answers
Answer:
A = 7
B = 4
Step-by-step explanation:
If u wanna know how i got this answer plz look at the comments below since it will delete my answer U-U
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Does anyone know how to solve this?
Answers
Kayana used 4 packages of pencils, so she used 4p pencils in total for the first semester.
After that, she used 10 more pencils, so the total number of pencils she used is:
4p + 10
Therefore, the expression to represent the total number of pencils Kayana used is 4p + 10.
How many possible passwords can be made for a website that requires passwords to consist of 3 digits followed by 2 letters? (Note that each digit or letter is allowed to be repeated.)
Answers
xxx##
There are 10 possibilities for each digit placed and 26 possibilities for each letter placed.
10x10x10x26x26 = 676,000
Answer:
67,600
Step-by-step explanation:
it says “The measure of an angle is 84º. find the measure of its supplement”plzzzzz help
Answers
Answer:
I think it's 96
Step-by-step explanation:
Since it said to find the supplement, I would just do 180 - 84 to get 96
Three percent of the students at Lincoln High are in orchestra, 5% are in band, and 1% are in both. If a student is selected at random, what is the probability that the student is in orchestra or band?
Answers
The probability that the student is in orchestra or band is 0.07 or 7%.
What is the probability that the student is in orchestra or band?Here we know the distributions:
3% of the students are in the orchestra.5% of the students are in the band.1% of the students are in both.Then the percentage of students that is in the orchestra or in the band (or in both) is given by:
3% + 5% - 1%
We are subtracting the 1% because these ones are in both groups, so we are counting them twice.
Then the percentage is:
P = 3% + 5% - 1% = 7%
So the probability is given by:
P = 7%/100% = 0.07
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What are the coordinates of the point that is 1/6 of the way from A to B? 6 A(-2, 3) 4+ B (10.3) ---- 4 4 O A. (6,0) O B. (3,0) O c. (0,6) O D. (0,3) O
Answers
Answer:
ITS C. (0, 3)
Step-by-step explanation:
I JUST ASKED THE TEACHER ;)
simplify √([2m5z6]/[ xy])
Answers
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
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This dot plot is not symmetric, and the data set has two
extreme values.
1 2 3 4
6 7 8 9 10
What is the best measure of center for this dot plot?
O A. The interquartile range (IQR)
O B. The mean
O C. The mean absolute deviation (MAD)
O D. The median
Answers
Answer:
D
Step-by-step explanation:
I need help please!!
Answers
Answer:
3/3/8
Step-by-step explanation: