Hey there!
Before we get to know an Integer and Rational Number, we have to know the Real Number system first.
1. What is Real Number System?
Real Number System is very commonly used in mathematics. It is a number system that is "logical", at least when it comes to solving an equation.But do you know that the Real Number system can be broken into two categorizes? And what are them?
Real Numbers can be broken into these main two categorizes which are:
Irrational NumberRational NumberThese numbers can also be broken into other categorizes as well! Crazy, ain't it? Well that's how maths work!
Anyways, we will skip Irrational Number since it is off-topic and not related to your question. We will talk about Rational Number instead.
2. What is Rational Number?
Rational Number is a number that can be written in fraction form. That is a simple explanation for the Rational Number. Please lecture or note that approximations aren't considered as rational numbers. Even though π ≈ 22/7 which is in fraction form but it is just an approximation which is considered as Irrational Number. Also if infinity/endless decimal can be written in fraction form as well, they are considered as Rational Number too!Now we know the meaning of Rational Number. But like I said, the Rational Number can be broken into other categorizes which are:
Integers - Whole number or number without fraction or decimal.Fractions and Decimals that can be written in fraction form.And Integers can also be broken into:
Negative IntegersZeroPositive Integers3. Conclusion and Answer
Since Integers are subset of Rational Number, we can conclude that Integers are Rational Number.Hope this helps, and let me know if you have any doubts regarding Real Number system.
What are the measure of ∠1 and ∠ 2 ? Show your work or explain
Answer:
I need the picture.
find the area of the circle use 3.14 for it d = 10 cm a = ? cm^2
NO TROLLS TY
Answer:
78.5 cm²
Step-by-step explanation:
GIVEN :-
Diameter of the circle (d) = 10 cmπ = 3.14TO FIND :-
Area of the circle (a)FORMULAES TO BE USED IN THIS QUESTION :-
[tex]Radius = \frac{Diameter}{2}[/tex][tex]Area = \pi \times (Radius)^2[/tex]SOLUTION :-
[tex]Radius\: (r) = \frac{Diameter}{2} = \frac{10}{2} = 5 cm[/tex]
[tex]=> Area = \pi r^2[/tex]
[tex]= 3.14 \times (5)^2[/tex]
[tex]= 3.14 \times 25[/tex]
[tex]= 78.5 \: cm^2[/tex]
Find an equation in point-slope form for the line having the slope m =1/3 and containing the point (-3,- 6).
Which value of x satisfy the following equation 24x - 18 - 18x - 30 = 96
Answer:
(24x-18x)( -18-30)
6x-48
2 Points
(25x
0
The equation ya
represents Michelle's regular
130(x-38) +950 %> 38
hourly and overtime wage. Based on this equation, what is Michelle's
overtime hourly pay?
A. $30
B. $38
O C. $950
O D. $25
Answer:
The answer is "35.22".
Step-by-step explanation:
Let the given equation:
[tex]\to 130(x-38) +950 \% \times 38=0\\\\\to 130x- 4940+\frac{950}{100} \times 38=0\\\\\to 130x- 4940+9.5\times 38=0\\\\\to 130x- 4940+361=0\\\\\to 130x- 4579=0\\\\\to 130x= 4579\\\\\to x= \frac{4579}{130}\\\\\to x= 35.22[/tex]
Answer: $25
Step-by-step explanation: took the quiz
i don’t understand how to find the number that goes into the blank box.
Answer:
8
Step-by-step explanation:
It asks for the y-intercept. The y-intercept is (0,?) the slope is -3 which means it's decreasing by 3. 5+3=8 so 8 is the y-intercept.
Hope this helps and pls tell if it's correct.
A and B are the subsets of a universal set U. If U = {1,2,3,4,5,6,7,8,9,10} A={1,2,3,5,7,9} and B ={1,2,3,6}, show that AUB complement=AΠB complement
Answer:
AUB= {1,2,3,5,6,7,9}
AnB={1,2,3}
- 2.7f+0.3f-12- 5 =
Plss help i need the answer right now plss.
Answer:
2.4f-17
Add similar elemets : 2.7f + 0.3f =2.4f
Subtract the numbers:-12 - 5= -17
Answer:
- 2.4f - 17
Step-by-step explanation:
Given
- 2.7f + 0.3f - 12 - 5 ← collect like terms
= - 2.4f - 17
The product of a number x and four decreased
by twelve.
Which of the following is an expression for the
statement above
a/4x+12
b/4(x+12)
c/4(x-12)
d/4x-12
Step-by-step explanation:
a. increased b. discreased c. increased d. decreased
The figure above is a regular hexas What is the value of x?
Answer:
A hexagon has six sides, and we can use the formula degrees = ( number of sides – 2) × j180. Then degrees = (6 – 2) × 180 = 720 degrees. Each angle is 720/6 = 120 degrees. straight angle is 180 and that one angle of hexagon 120 so 180 - 120 = 60
answer: value of x is 60 degrees
PLEASE ANSWER ASAP Mia randomally surveys students in her middle school to learn about their favorite type of novel. Of 40 respondents, 16 liked to read mystery novels. Based on Mia's data, how many of the 350 students in her middle school like to read mystery novels?
Answer:
140
Step-by-step explanation:
40 divided by 16 = 2.5 . 350 divided by 2.5=140 hope this helped
Consider the function shown in the table.
What are the inputs of the function?
-1, 0, 1, 2
-1,0,3
-1, 0, 1, 2, 3
Answer: a
Step-by-step explanation:
its the first one
Answer:
the first one is A and the second one is B
Step-by-step explanation:
im doing the assignment right now
if a×b=a^b what is the value of 2 ×3
Answer:
8
Hope this answer is right!!
Explanation:
Given, a×b=a^b=2 ×3
=2^3
=8
So, the value of 2 ×3 =8.
5 6 7 8 9 10
TIME REMAINING
50:04
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?
(x – 3)2 + (y – 5)2 = 6
(x – 3)2 + (y – 5)2 = 36
(x + 3)2 + (y + 5)2 = 6
(x + 3)2 + (y + 5)2 = 36
Answer:
(x-a)(y-b)=r²
(x-(-3))(y-(-5))=r²
(x+3)2(y+5)2=36
Part II: Find the sine, cosine, and tangent ratios of <y
Answer:
sin θ = 22.62°
cos θ = 22.62°
tan θ = 22.62°
Step-by-step explanation:
From the diagram above
Opposite = 5
Adjacent = 12
Hypotenuse = 13
a) sin θ = Opp/Hypotenuse
sin θ = 5/13
sin θ = 0.3846153846
arc sin 0.3846153846
= 22.619864948°
Approximately = 22.62°
b) cos θ = Adjacent/ Hypotenuse
θ = 12/13
= arccos(0.9230769230769231)
22.619864948°
Approximately = 22.62°
c) tan θ = Opposite/Adjacent
θ = 5/12
= arctan(0.4166666666666667)
= 22.619864948°
= 22.62°
if f(x)=x2+x and g(x)=x-3, find f(g(7))
f(g(7)) = 20
Hope it helps you...
For any two integers A and B, A minus b is equal to a plus additive inverse of b is equal to a + Dash
Answer:
For any integer number n, the inverse additive of n is also an integer K such that:
n + K = 0
solving this for K, we get that:
K = -n
Then the inverse additive of n is -n.
Now that we know this let's complete this.
We know that for any two integers A and B, a minus b is equal to a plus the additive inverse of b.
To check this:
a minus b is written as:
a - b
And a plus the additive inverse of b is:
a + (-b)
because -b is the additive inverse of b.
Remember the rule sign:
(+)*(-) = -
Then we can rewrite:
a + (-b) = a - b
Then the statement is true.
"For any two integers a and b, a minus b is equal to a plus additive inverse of b is equal to a + (-b)"
Sum of cubes:
(a + b)(a2 – ab + b2) = a3 + b3
Difference of cubes:
(a – b)(a2 + ab + b2) = a3 – b3
Which products result in a sum or difference of cubes? Check all that apply.
(x – 4)(x2 + 4x – 16)
(x – 1)(x2 – x + 1)
(x – 1)(x2 + x + 1)
(x + 1)( + x – 1)
(x + 4)(x2 – 4x + 16)
(x + 4)(x2 + 4x + 16)
Answer:
C and E
Step-by-step explanation:
Answer:
3 and 5
Step-by-step explanation:
The solution of this problem is in this picture.
Given the following equation x2 + 4x = 21 find the solutions. (Show All Work)
15a) Set the equation equal to 0 by inverse operations.
15b) Place the equation in factored form.
15c) Set each factor equal to 0 and solve for x.
I need help asap will give brainlist if answered and work is showed!
Step-by-step explanation:
15a)
[tex]x^2+4x=21[/tex] Subtract both sides by 21
[tex]x^2+4x-21 =0[/tex]
15b)
7 and -3 multiply to -21 and add to 4
The factors are (x+7)(x-3)
15c)
x+7 =0
x=-7
x-3=0
x=3
I don’t understand this equation please help me
Answer:
Evaluated, you get 4x^4
Step-by-step explanation:
Differentiated, you get 16x^3
It all depends on what you're looking for, really
how would 3 over 5
be Classified
Answer:
3/5 is expressed as 60% in terms of Percentage.
Let's convert the fraction 3/5 into percent. Now, 60/100 is expressed as 65% in terms of percentage.
express 96 as the product of prime factors
need it asap
plzz write the method too
Given:
The given number is:
[tex]96[/tex]
To find:
The product of prime factors of given number.
Solution:
We have,
[tex]96[/tex]
The prime factors of given number are:
2 | 96
2 | 48
2 | 24
2 | 12
2 | 6
3 | 3
| 1
So, 96 can be written as:
[tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex]
Therefore, the 96 as the product of prime factors is [tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex].
what is the definition of risk ?
Answer: DOING SOMETHING THAT HAS THE POSOBILITY OF IT BEING BAD
Step-by-step explanation: BECAUSE
Answer:
D
Step-by-step explanation:
just got it right on edge
Jasmine used the number line to find the distance between 0 and 5. What was Jasmine’s error? Jasmine should have counted from 5 to 0. Jasmine started with the wrong integer. Jasmine gave a negative answer for distance. Jasmine ended with the wrong integer.
Answer:
The answer is "Option C".
Step-by-step explanation:
In this question, the distance value is -5 that's why option c is correct.
Answer:
C. Jasmine gave a negative answer for distance.
Which number best represents the slope of the graphed line?
Instructions: Using the image, find the slope of the line. Reduce all fractions and enter using a forward slash (i.e.
"/"). If the slope is undefined, enter "undefined
Answer:
Δy = 5 Δx = 1
slope = [tex]\frac{5}{1}[/tex] = 5
Step-by-step explanation:
Here is a picture and thank you
Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)
Step-by-step explanation:
many things are possible.
the only thing we must not do is mixing the addition elements with the multiplication elements.
but we could change the expression to
3×(3×8) + 5
or
5 + (3×3)×8
or
5 + (3×8)×3
and so on, and it would always be the same result.
The new expression is 3×(3×8)+5. Therefore, option B is the correct answer.
The given expression is 5+3 ×(3×8).
We need to use the commutative property of addition and the associative property of multiplication to rewrite the given expression.
What is the commutative property of addition?The commutative property deals with the arithmetic operations of addition. It means that changing the order or position of two numbers while adding them does not change the end result.
Associative property of multiplication: The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.
The new expression=3×(3×8)+5
Therefore, option B is the correct answer.
#SPJ2
Your question is incomplete, probably the complete question/missing part is:
Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)
A. (3*3)*8+8
B. 3*(3*8)+5
C. 5+3*(24)
D. 3*(8*3)+5
Please help, I might give brainliest.
Answer:
1. The two decimals are 1.06 and 1.28. 2. The numbers 1.06 and 1.28 are both between 1 and 2.
Calculate the compound interest a saleswoman would have to pay if she borrows
$54 000 for 9 years at 12% per annum compound interest.
Given:
Principal = $54,000
Time = 9 years
Rate of compound interest = 12% per annum.
To find:
The compound interest.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded and t is the number of years.
The interest is compounded annually, so [tex]n=1[/tex].
Substituting [tex]P=54000,\ t=9,\ n=1,\ r=0.12[/tex] in the above formula, we get
[tex]A=54000\left(1+\dfrac{0.12}{1}\right)^{1(9)}[/tex]
[tex]A=54000\left(1.12\right)^{9}[/tex]
[tex]A=149746.252902[/tex]
[tex]A\approx 149746.25[/tex]
The amount after 9 years is $149746.25.
Now, the compound interest is:
[tex]C.I.=A-P[/tex]
Where, C.I. is compound interest, A is amount and P is principal.
[tex]C.I.=149746.25-54000[/tex]
[tex]C.I.=95746.25[/tex]
Therefore, the compound interest is $95746.25.
