Answer:
For real numbers according to the Law of Trichotomy,
if a = b then a will never be greater than b and a will never be less than a.
if a<b then a will never be equal to b and a will never be greater than b.
if a>b then a will never be less than b and a will never be equal to b.
And vice versa to b as well.
That means only one property will hold for given two numbers.
For any two real numbers, a and b ,only one property will hold for given two numbers.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
For any two real numbers, a and b
For real numbers according to the Law of Trichotomy,
if a = b then a will never be greater than b and a will never be less than a.
if a<b then a will never be equal to b and a will never be greater than b.
if a>b then a will never be less than b and a will never be equal to b.
And vice versa to b as well.
That means only one property will hold for given two numbers.
To learn more on number click:
brainly.com/question/17429689
#SPJ2
Point S lies on AB. If AB = 34 units, AS = 5 + 2x units, and SB = x + 2 units, what is the length of AS in units?
Enter the correct answer in the box.
units
Answer:
AS=9
Step-by-step explanation:
A mars rover traveled from point a to point b at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rover to travel at a speed of 2.5cm/sec and increased the travel time by 15 minutes. what is the distance between point a and point b?
Answer:
60
Step-by-step explanation:
time * speed
in seconds 60x *4 = 2.5(60x + 900)
x= 25
25 min * 4cm/2
distance = 60 meters
CHEck!!!
Using a system of linear equations, the distance between points A and B is 6000 cm
Initial speed = 4cm/secTime taken = Distance / speed
Let ; distance = d
To time :
t = d / 44t = d ______(1)Fro time :
(t + 15 × 60) = d / 2.5
2.5(t + 900) = d
2.5t + 2250 = d ______(2)
Equate (1) and (2)
4t = 2.5t + 2250
4t - 2.5t = 2250
1.5t = 2250
t = 1500 seconds
From (1) :
d = 4t
d = 4(1500)
d = 6000 cm
Therefore, the distance from point A to B is 6000 cm
Learn more : https://brainly.com/question/14000187
(x-5)^2-1=0
tìm x giúp mik vs
HELP PLEaseeeeeeeeeeeee thank youi
Answer:
d=4.5t
Step-by-step explanation:
in two hours, Francine went 9 miles
9/2=4.5
the distance equals 4.5 times each cycling time.
d=4.5t
PLEASE PLEASE HELP ASAP
Directions for (1-5): Plot the following on a number line
0.75
1.5
-2 ¾
-3 ⅕
6.8
Answer:
|---|--------|---------|------|---------|-|
-2 ¾ -3 ⅕ 0.75 1.5 6.8
(This is a rough answer, it mainly just shows the order).
Step-by-step explanation:
1. -2 ¾
2. -3 ⅕
3. 0.75
4. 1.5
5. 6.8
Scores on the ACT exam have a N(μ = 18,σ = 6) distribution, while scores on the SAT
exam have a N(μ = 500,σ = 100) distribution. Suppose Xiaoyu got a 27 on the ACT
exam, while Emily got a 720 on the SAT exam. Who has the higher relative score? Why?
Answer:
Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.
Step-by-step explanation:
Find the z-scores by subtracting the score they got by the mean and then dividing by the standard deivation of their respective exams.
Xiaoyu:
z = [tex]\frac{27 - 18}{6}[/tex] = 1.5
Emily:
z = [tex]\frac{720 - 500}{100}[/tex] = 2.2
______
Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.
Edward buys a bicycle online for 254.75$ if shipping and handling are an additional 24% of the price how much shipping and handiling will Edward pay
Answer:
24% of (254.75 US$) =
61.14 US$
Step-by-step explanation:
Answer:
61.14$.
Step-by-step explanation:
24% = 0.24.
254.75 * 0.24
= 61.14$.
5 raised by 2- 5 (68-60)=
(with explanation plz)
Step-by-step explanation:
2-5(68-60)=2-5×8=2-40=38
Complete the equation so that it has
infinitely many solutions.
48 - 2) = (2x -
Range is how far a graph goes up and down.
How far with the graph f(x) = In x go to the go down?
Hint: (Zoom in and out and move graph to the down.)
a. 4
b. just above 0
c. infinity
explain your thinking
Answer:
c
Step-by-step explanation:
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
(Show your work)
Answer:
15.5 because you have to take away some point
Step-by-step explanation:
you can do 15.8 +5.3 and that would make 21 - 15 and makes 6 so you can round 15.8 to 16 and then you subtract to make 10 then you add 5
_______
[tex] \: [/tex]
x² = (15.8)² - (5.3)²
x² = 249.64 - 28.09
x² = 221.55
x = √221.55
x ≈ 15
B.
E.
20 cm
7 cm
11 cm
-
Find volume
Step-by-step explanation:
The volume of cylinder = [tex]\pi r^{2}h[/tex]
The radius of cylinder = 20 ÷ 2 = 10
The volume of cylinder = [tex](\frac{22}{7})(10^{2} )(7)[/tex]
= [tex](22)(100)[/tex] = 2200
please give me a brainliest answer
Answer:
Volume of cylinder = 2,198 cmSolution:
volume of a cylinder = area of base(pi × radius²) × altitude (height)
Volume = πr² × altitude
V = 3.14 × 10² × 7
V = 3.14 × 100 × 7
V = 314 × 7
V = 2,198 cm
write 7/571 as a mixed number!
Answer:
It is a proper fraction so it cannot be written as a mixed number.
Step-by-step explanation:
We use the analysis of variance rather than the t ratio when more than two groups are involved because: _________________
a. it is less time-consuming to make the necessary calculations.
b. it decreases the likelihood of making a Type I error.
c. the more statistical tests conducted, the more likely sampling error may cause statistically significant findings.
d. all of these answers are correct.
What is the slope of this line?
Answer:
Slope = 2
Step-by-step explanation:
(x₁ , y₁) = ( 1 , 1) & (x₂,y₂) = (-1,-3)
[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-3-1}{-1-1}\\\\=\dfrac{-4}{-2}\\\\=2[/tex]
Need this answer for this
Answer:
the point (0,6) is the point that is 1/6 of the way
Q is a degree 5 polynomial that passes through the origin, has zeros i and 7 - i, and q(-1)= -520. find the equation for q
Using the factor theorem, the equation for q is:
[tex]q(x) = 4(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, ..., x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]
In which a is the leading coefficient.
In this problem:
Passes through the origin, so x = 0 is a zero, that is [tex]x_1 = 0[/tex].x = i is a zero, and thus, it's conjugate also is, that is, x = -i, hence [tex]x_2 = i, x_3 = -i[/tex]x = 7 - i is a zero, and thus, it's conjugate also is, that is, x = 7 + i, hence [tex]x_4 = 7 - i, x_3 = 7 + i[/tex]Then, the equation is:
[tex]q(x) = a(x - 0)(x - i)(x + i)(x - 7 + i)(x - 7 - i)[/tex]
[tex]q(x) = ax(x^2 - i^2)((x-7)^2 - i^2)[/tex]
Considering that [tex]i^2 = -1[/tex]
[tex]q(x) = ax(x^2 + 1)(x^2 - 14x + 50)[/tex]
[tex]q(x) = ax(x^4 - 14x^3 + 51x^2 - 14x + 50)[/tex]
[tex]q(x) = a(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
q(-1) = -520 means that when [tex]x = -1, q = -520[/tex], and this is used to find a.
[tex]q(x) = a(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
[tex]-520 = a(-1 - 14 - 51 - 14 - 50)[/tex]
[tex]130a = 520[/tex]
[tex]a = \frac{520}{130}[/tex]
[tex]a = 4[/tex]
Hence, the equation is:
[tex]q(x) = 4(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
A similar problem is given at https://brainly.com/question/24380382
Which of the following is a polynomial?
A.
(x - 2)
(x4 +3)
B. X2 - 1
C. A + x 4 + 16
D. 1/x +2
Answer:
A, B, C
Step-by-step explanation:
Assuming the choices are:
A. [tex](x-2)(x^{4}+3)[/tex]
B. [tex]x^{2} -1[/tex]
C. A+[tex]x^{4} +16[/tex]
D. [tex]\frac{1}{x} +2[/tex]
Put simply, a polynomial in this case will be a function that has at least one variable raised to a power greater than 1.
Choice A already has a variable raised to a power greater than 1 ([tex]x^{4}[/tex]), so no additional manipulation is needed.
Choice B also has a term that is already raised to a power greater than 1 ([tex]x^{2}[/tex]). It is the same for choice C ([tex]x^{4}[/tex]).
Choice D does not have an obvious variable raised to a power greater than 1. When the equation is manipulated it becomes [tex]x^{-1} +2[/tex]. Since -1 is less than 1, choice D is not a polynomial.
Answer:
Option D
Step-by-step explanation:
[tex]\\ \sf\longmapsto \dfrac{1}{x}+2[/tex]
Simplify
[tex]\\ \sf\longmapsto x^{-1}+2[/tex]
Degree is less than 1 .It's not a polynomial
May I ask what’s this answer?
I wasn’t in class today:(
Answer:
Top box: 15
Bottom box: 480
Answer:
[tex]\left[\begin{array}{ccc}5&15&20\\120&360&480\end{array}\right][/tex]
Explanation:
For every 5 gallons, there's 120 miles. If we know we have 360 miles, we can see how many times 120 goes into 360, which is 3.
5 * 3 = 15.
Then just reverse the process
this maths question i don’t really understand
Answer:
I think it is straight forward, u just have to solve the problem
Step-by-step explanation:
so 35 x 586= 20510
3.5 x 5860=20510
36 x 586=21096
70 x 586=41020
Find mLJKL if mDKL = 80°
and mJKD=65º.
there is the answer to your problem
Martin finds a shirt on sale
This circle has a circumference of 40 centimeters.
Calculate its diameter
Answer:
d≈12.73cm
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for d
d = c/[tex]\pi[/tex] = 40/[tex]\pi[/tex] ≈12.7324cm
I need help please and thank you
Answer:
I believe it's B ............
Riley has r red peppers and 51 green peppers. Write an expression that shows how many peppers Riley has.
Answer:
r+51 peppers
Step-by-step explanation:
Multiply out and simplify:
(3x + 4) (2x - 1)
Answer:
6x²+5x-4
Step-by-step explanation:
[tex](3x+4)(2x-1)\\=6x^2-3x+8x-4\\=6x^2+5x-4[/tex]
Answer:
[tex]6x^{2}+5x-4[/tex]
Step-by-step explanation:
Apply the distributive property
[tex](a+b)(c+d)=ac+ad+bc+bd[/tex]
Therefore,
[tex](3x+4)(2x-1)=3x*2x+3x(-1)+4*2x+4(-1)[/tex]
[tex](3x+4)(2x-1)=6x^{2} +5x-4[/tex]
I will mark brainiest plz help
Answer:
96
Step-by-step explanation:
The length of the large rectangle is: 5 units
The width of the large rectangle is: 7 units
- > Area of the large rectangle = length × width = 7*5 = 35 square units
The length of the middle rectangle is: 7 units
The width of the middle rectangle is: 4 units
- > Area of the middle rectangle = length × width = 7*4 = 28 square units
The length of the small rectangle is: 7 units
The width of the small rectangle is: 3 units
- > Area of the small rectangle = length × width = 7*3 = 21 square units
Area of top and the bottom triangles =2* 1/2(bh) = 4*3 = 12 square units
Then we find the total surface surface area by adding up all of these
- > 35 + 28 + 21 + 12 = 96 square units
Which angle is the included angle for JL and JK help!! please
Answer: angle l
Step-by-step explanation:
Look at the arithmetic pattern shown here.
Select the Hint button to view a hint.
Using the variable n for the term, describe the sequence.
Answer:
[tex]a_{n}[/tex] = 10n
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then
[tex]a_{n}[/tex] = 10 + 10(n - 1) = 10 + 10n - 10 = 10n
The sequence can be seen to be an arithmetic sequence and the common difference of the sequence is 10.
What is an arithmetic sequence?Arithmetic sequences are an essential concept in mathematics and have applications in various fields, including algebra, physics, computer science, and finance. They are widely used to model patterns and relationships in real-world situations.
Looking at the sequence we can see that the common difference d can be obtained as;
d = S2 - S1
= 20 - 10
= 10
d = S3 - S2
= 30 - 20
= 10
Learn more about arithmetic sequence:https://brainly.com/question/34721740
#SPJ3