The value of the integer number n is greater than 5 and less than 9.
Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is use it to compare two statements.
Simplification is to make something easier to do or understand and to make something less complicated.
Shantira is thinking of a number n.
Her first clue is that six less than six times her number is between twenty-four and forty-eight.
Let n be the integer number.
Then according to the condition,
Her first clue is that six less than six times her number is between twenty-four and forty-eight.
24 < 6n - 6 < 48
Add 6, then
30 < 6n < 54
Divide it by 6
5 < n < 9
So the value of the integer number n is greater than 5 and less than 9.
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Are any of the subsets of the real number system (real numbers, whole numbers, integers, rational
numbers, or irrational numbers) are closed under multiplication? Which onest Explain why
The collection of all rational and irrational numbers, represented by the letter R, is known as a real number. A real number can therefore be either rational or irrational.
The set of natural numbers N = {1, 2, 3, 4, 5, . . .}
The set of integers Z = {. . ., –3, –2, –1, 0, 1, 2, 3, . . .}
The set of rational numbers Q = {x: x = a/b; a, b ∈ Z and b ≠ 0}
The set of irrational numbers, denoted by T, is composed of all other real numbers.
Thus, T = {x : x ∈ R and x ∉ Q}, i.e., all real numbers that are not rational.
Some of the irrational numbers include √2, √3, √5, and π, etc.
Some of the apparent relations among these subsets are:
N ⊂ Z ⊂ Q, Q ⊂ R, T ⊂ R, N ⊄ T.
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Write two scoring questions pertaining to your game that you could give to another student to answer. each question must require the other student to operate with integers. include both an answer key and a solution key for each question.
The required question for another student is to find out how many goals will be scored by both teams in 90 minutes if the game.
In mathematics, it deals with numbers of operations according to the statements.
Here,
In order to make the question,
1. In a football match, there are two teams competing, team A scoring 1 goal every 10 mins while team B scores 1 goal in every 15 minutes, so find out how many goals will be scored by both the teams in 90 minutes if the game.
Solution;-
For every ten minutes team score a goal so in 90 minutes,
= 90/10 * 1
= 9
Similarly,
For team B
= 90/15 * 1
= 6
Answer:- Thus team A scores 9 goals in a game and team b scores 6 goals.
Thus, the required question, solution, and answer are mentioned above.
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Which equation best represents the graph shown below? Explain in detail how you arrived at your answer by stating each of the mathematical transformations necessary and to produce the graph
Answer step by step
A. Y = (x - 2)^2 - 3
B. Y = (x + 2)^2 - 3
C. Y = - ( x - 2 )^2 - 3
D. Y = 1/2 ( x + 2)^2 - 3
The equation that best represents the parabola given in this problem is:
A. y = (x - 2)² - 3.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
For this problem, the vertex is at (2, -3), hence:
h = 2, k = -3.
And:
y = a(x - 2)² - 3.
When x = 0, y = 1, hence:
1 = 4a - 3
4a = 4
a = 1.
Hence the equation is given by:
A. y = (x - 2)² - 3.
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ways to show 2 times 43 times 19
Je m'échauffe
1 QUESTIONS FLASH
Déterminer la moyenne, la médiane et l'éten-
due de chacune des séries :
2
a. série 1 : 4; 5; 12;
b. série 2: 0; 1; 2; 3;
c. série 3:3; 7; 9:11; 20;
d. série 4:2; 3; 4; 5; 6; 7.
Si quelqun pourrais m’aider sur les 3 question sa serais génial ! Silvouplais
Answer:
yookiiii8bubub7bssh8ss
Is 10.32332333... a rational or
irrational number?
Choose the correct answer below.
irrational number
rational number
Answer:
Rational.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
This applies to the listed number.
If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many different ways can a student check off one answer to each question?
The different ways can a student check off one answer to each question is 1024.
It is required to find the different ways can a student check off one answer to each question.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.
Given:
If a multiple choice test consists of 5 questions each with 4 possible answers of which only one is correct,
,To find how many different ways can a student check off one answer to each question we have,
: 4^5 = 2^10
= 1024
Therefore, the different ways can a student check off one answer to each question is 1024.
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#15: m∠NST = ____°
need answer
Answer:
∠ NST = 59°
Step-by-step explanation:
∠ NST and ∠ LSN form a right angle , that is
∠ NST + ∠ LSN = 90
3x - 1 + 2x - 9 = 90
5x - 10 = 90 ( add 10 to both sides )
5x = 100 ( divide both sides by 5 )
x = 20
Then
∠ NST = 3x - 1 = 3(20) - 1 = 60 - 1 = 59°
Which of the following could be measured in meters? weight of a bag, height of a building,time it takes to reboil or temperature on a hot day
Answer:
Step-by-step explanation:
height of the building
What is the quotient of 7 over 8 divided by 2 over 5?
Answer: 6
Step-by-step explanation:
got it right
Factor the expressions:
Answer:
6a²b(2b-3a³+5)
in here we need to consider about highest common factor. After that take it as common and factorise
Write an algebraic expression to represent how much money Max has saved.
Max is saving to buy a car. He already has $700 saved. He will continue to earn money by cutting lawns; he earns $15 for each lawn. Let x represent the number of lawns Max cuts.
Answer: x=700+15
Step-by-step explanation: an educated guess
Answer:
y = 15x + 700
Explanation:
In this sentence said Max already has $700 which means it should be constant value in the equation. Max earns $15 for each lawn he cuts.
Linear equation:
y = mx + bwhere 'm' is rate of change, 'b' is constant value
So, the equation should be (for total money Max saved):
y = 15x + 700where y represents total money Max saved and x = number of lawns cut.
There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black and orange. half of the guests will go in costumes that are neither black nor orange. how many children will wear both orange and black
The number of children who wore both orange and black will be 8.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black and orange.
Then the number of children who wear costumes and black & orange. Then we have
⇒ 46 - 18 - 12
⇒ 46 - 30
⇒ 16
Half of the guests will go in costumes that are neither black nor orange. Then we have
⇒ 16 / 2
⇒ 8
Then the number of the children who orange and black will be
⇒ 16 - 8
⇒ 8
The number of children who wore both orange and black will be 8.
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25 points plus brainliest
Answer: y-3 = 3(x+4)
Step-by-step explanation:
See attached
a line with a slope equal to -2/3 passes through (-1, -4) and (3,y) what’s the value of y
Answer:
-20/3
Step-by-step explanation:
Using point-slope form, the equation is
[tex]y+4=-\frac{2}{3}(x+1) [/tex]
Substituting x=3,
[tex]y+4=-\frac{2}{3}(3+1) \\ \\ y+4=-\frac{8}{3} \\ \\ y=-\frac{20}{3}[/tex]
In the figure below, m ZABD = 104°, BC bisects LABD, and BE bisects ZCBD. Find mZEBD.
Check
A
B
C
E
D
mZEBD
X
2022 McGraw
The measure of ∠EBD from the given figure is 26°.
Given that, m∠ABD=104°, BC bisects ∠ABD, and BE bisects ∠CBD.
What is an angle bisector?An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.
Since BC bisects ∠ABD, we get ∠ABC=∠CBD
So, ∠ABD=∠ABC+∠CBD
⇒2∠CBD=104°
⇒∠CBD=52°
Here, BE bisects ∠CBD, we get ∠CBE=∠EBD
So, ∠CBD=∠CBE+∠EBD
⇒2∠EBD=52°
⇒∠EBD=26°
Therefore, the measure of ∠EBD from the given figure is 26°.
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21 ones + 153 thousandths
Answer:
21.153
Hope this helps! (:
Answer:
21.153
Step-by-step explanation:
(Don't confuse thousandths for thousands.)
21 + 0.153 = 21.153
What is the area of this tile?
6 in.
8in.
Answer:that would be 24
Step-by-step explanation: A triangle is a three side shape so after you multiply 6 and 8 thats 48 but then you multiply by 1/2 which is the same as dividing by 2 so (48/2)=24 and thats your answer hope this helps
What is the variable of 3x - 5y?
In an apartment building block there are apartments with 2 rooms and with 3 rooms. in the building there are 20 apartments and 45 rooms in total. how many appartments with 3 rooms are in the building?
Using algebraic expressions and equations to solve this problem, there are 15 apartments with 2 rooms and 5 apartments with 3 rooms.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".
If there are 20 apartments, we can write the equation for the sum of two different kind of apartments.
let x = number of apartments with 2 rooms
y = number of apartments with 3 rooms
x + y = 20 (equation 1)
If there are x apartments with 2 rooms and y apartment with 3 rooms and there are 45 rooms in total, we can express this as the equation:
2x + 3y = 45 (equation 2)
Rewriting equation 1 as an equation of y in terms of x,
x + y = 20 (equation 1)
y = 20 - x
Substitute this expression of y to equation 2, and solve for x.
2x + 3y = 45 (equation 2)
2x + 3(20 - x) = 45
2x + 60 - 3x = 45
-x = 45 - 60
-x = -15
x = 15
Substitute the value of x in either equation 1 or 2 and solve for y.
x + y = 20 (equation 1)
15 + y = 20
y = 20 - 15
y = 5
If x is the number of apartments with 2 rooms and y is the number of apartments with 3 rooms, then there are 15 apartments with 2 rooms and 5 apartments with 3 rooms.
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What is the expression for the area of a triangle with a height of n and a base of 6?
6n/2
6n
6n/3
3n
The expression for the area of a triangle with a height of n and a base of 6 is 6n/2
Area of a triangleThe formula for calculating the area of a triangle is expressed as:
A = 1/2 bh
where
b is the base of the triangle
h is the height of the triangle
Given the following parameters
base = 6
height = n
Substitute
A = 1/2 × 6 × n
A = 6n/2
Hence the expression for the area of a triangle with a height of n and a base of 6 is 6n/2
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will mark branliest if right!
We need to know about rate of change to solve the problem. The rate of change of population between 2002 and 2004 is -6.098% . The rate of change of population between 2002 and 2006 is -4.88%
The rate of change of something can be calculated by dividing the difference between the final amount and the initial amount by the initial amount. Rate of change is usually calculated as a percentage. We can calculate rate of change of population per year or between any two years. In this question we need to find the rate of change between 2002 and 2004 and also between 2002 and 2006. The initial population in 2002 is 82 and in 2004 it is 77.
rate of change between 2002 and 2004=[tex]\frac{77-82}{82}[/tex]x100=[tex]\frac{-5}{82}[/tex]x100=-6.098%
rate of change between 2002 and 2006=[tex]\frac{78-82}{82}[/tex]x100=[tex]\frac{-4}{82}[/tex]x100=-4.88%
Therefore the rate of change of population between 2002 and 2004 is -6.098% and the rate of change of population between 2002 and 2006 is -4.88%, the rate of change is negative because the population decreases.
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Put the following equation in slope intercept form, simplifying all fractions. 12x+8y=-24
The slope intercept form of the equation 12x ₊ 8y = ₋24 is
y = ₋3/2 x ₋ 3
Given the equation is 12x ₊ 8y = ₋24
we are asked to convert the given equation into slope intercept form.
Finding a line's equation requires using the slope-intercept form of a straight line. We must know both the line's slope and the point at which the line crosses the y-axis in order to use the slope-intercept formula.
12x ₊ 8y = ₋24
⇒ 12x ₊ 8y ₊ 24 = 0
we re-arrange the equation of the line to write it in the standard form
y = mx + b.
12x ₊ 8y = ₋24
8y = ₋12x ₋ 24
now divide the terms on the right side by 8.
y = ₋12x/8 ₋ 24/8
y = ₋3/2x ₋ 3
hence we get the slope intercept form as y = ₋3/2x ₋ 3, where m=s₋3/2 and b = ₋3
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Answer:
I don't know to be honest
Step-by-step explanation:
that's great
Find angle X.
I am not sure if it should add up to 360 degrees or 180 degrees
Answer:
195
Step-by-step explanation:
Since this figure is a quadrilateral you would be subtracting the inner angles from 360
360-87-40-38=195
WILL CHOOSE BRAINLIEST Use the slope to determine if lines PQ and RS are parallel, perpendicular, or neither.
Slope of line PQ = -3
Slope of line RS = 3
They are neither parallel nor perpendicular.
What is the Slope of Parallel and Perpendicular Lines?If two lines are parallel to each other, they would have the same slope value.
If two line are perpendicular, the slope value of one would be the negative reciprocal of the other.
Slope = change in y / change in x.
Slope of line PQ = (-1 - 14) / (2 - (-3))
Slope of line PQ = -15/5 = -3
Slope of line PQ = -3
Slope of line RS = (-10 - 8) / (-2 - 4)
Slope of line RS = -18/-6
Slope of line RS = 3
The slopes of both lines are different, and are not negative reciprocals of each other, therefore, they are neither parallel nor perpendicular.
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(4)(4) -4(-5)(-1) who ever knows this thank you<3
The answer of [tex](4)(4) -4(-5)(-1)[/tex] is [tex]-4[/tex]
We are supposed to find the answer of [tex](4)(4) -4(-5)(-1)[/tex].
This question is a classic example of the BODMAS rule in mathematics.
According to this rule, first we solve the sum inside bracket (be it any operation like division, multiplication, addition or subtraction) then division operation if present in the question followed by multiplication then addition and followed by subtraction.
Here in the question given [tex](4)(4) -4(-5)(-1)[/tex], we use BODMAS to solve it.
Let x be the answer of the above question, Therefore
[tex]x=(4)(4) -4(-5)(-1) \\x=(4*4)-4(5)\\x=(16)-(20)\\x=(16-20)\\x=-4[/tex]
Therefore[tex](4)(4) -4(-5)(-1)[/tex] = -[tex]4[/tex]
BODMAS: The BODMAS rule follows the order of the BODMAS abbreviated for B – Brackets, O – Order of powers or roots, D – Division, M – Multiplication A – Addition, and S – Subtraction. The BODMAS rule states that mathematical expressions with more than one operators need to be solved from left to right in the order of BODMAS.Want to learn more about BODMAS? Click on the link given below.
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Help me pls !! Show with work thankkkk u sooo much !!!!!! :)
Match each pair of inverse operations.
1. cubing
subtraction
2. multiplication
division
3. squaring
taking the square root
4. addition
taking the cube root
A 7 cm string that is fastened at both sides is plucked. what is the wavelength of the n = 4 standing wave?
The wavelength of the n = 4 standing wave is 3.5cm.
Standing Waves:
A standing wave is a stationary wave, which means that the wave oscillates in time but the peak amplitude does not move in space. This can happen in a stationary medium from an interference due to two waves traveling in opposite directions. For a harmonic wave, the string's displacement in the y-direction from the x-position and time t can be calculated by using the expression
y(x ,t)=2Asin(2πxλ)cos(ωt)
where A is the maximum displacement in the y-direction, λ
is the wavelength, and ω is the angular frequency. Given a taut string of length L, and assuming the the driving force is at x=0, the boundary conditions are
y(0,t)=0y(L, t)=2Asin(2πLλ)cos(ωt)=0
Given the latter boundary condition, a standing wave occurs when sin(2πLλ)=0=sin(nπ). The condition for the standing wave is then of the form n=2Lλ.
The condition where the standing wave occurs is given by the expression n=4Lλ, where n is a positive integer value, L is the string length, and λ is the wavelength. We calculate the wavelength of an n=4 standing wave as follows:
λ=4Ln=4(7 cm) / 2
= 14 /2
= 3.5cm.
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If the nominal rate of interest is 2 percent, and the expected inflation rate is 10 percent, the real rate of interest is :_____.
a. 2 percent.
b. 8 percent.
c. 10 percent.
d. 12 percent.
The real rate of interest is 8 percent.
What is nominal rate of interest?In finance and economics, the nominal interest rate or nominal rate of interest is either of two distinct things: the rate of interest before adjustment for inflation; or, for interest rates "as stated" without adjustment for the full effect of compounding.
Given:
nominal rate of interest= 2%
expected inflation rate = 10 %
We know,
nominal rate = real interest rate + inflation rate
and, real interest rate= nominal rate - inflation rate
then,
real rate interest = 2-10
real rate interest = -8%
Hence, the inflation rate is greater than the nominal interest rate as it is -8%
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