One example of a walk along the number line that is unbounded and visits zero an infinite number of times is the following:
Start at position 1, and take a step of size -1. This puts you at position 0.
Take a step of size 1, putting you at position 1.
Take a step of size -1/2, putting you at position 1/2.
Take a step of size 1, putting you at position 3/2.
Take a step of size -1/3, putting you at position 1.
Take a step of size 1, putting you at position 2.
Take a step of size -1/4, putting you at position 7/4.
Take a step of size 1, putting you at position 11/4.
Take a step of size -1/5, putting you at position 2.
And so on, continuing with steps of alternating signs that decrease in magnitude as the walk progresses.
This walk is unbounded because the steps decrease in magnitude but do not converge to zero. The walk visits zero an infinite number of times because it takes a step of size -1 to get there, and then later takes a step of size 1 to move away from it.
The corresponding series for this walk is the harmonic series, which is known to diverge. Therefore, this walk does not converge.
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If b=10, evaluate 40/b A. b=10 B. b=30 C. b=2 D. b=4
Answer:
d
Step-by-step explanation:
substitute b for 10. you get 40/10. Now simplify it down. 20/5, which simplifies again to 4/1. 4 divided by 1 equals 4, which makes d true. hope this helps
Find the height of the trapezoid. A trapezoid. The base lengths are 10 meters and 6 meters. The area is 40 square meters.
Answer:
5 meters
Step-by-step explanation:
A=a+b/2*h
40=10+6/2*h
40=8h
h=5
Answer:
Step-by-step explanation:
36
can someone please help me
y=5x+1
Answer:
X= [tex]\frac{1}{5\\}[/tex] y+ 1[tex]\frac{-1}{5}[/tex]
Step-by-step explanation:
y=5x+1
Step 1: Flip the equation.
5x + 1
Step 2: Add -1 to both sides.
5x + 1 + −1 = y+ −1
Step 3:
Divide both sides by 5.
[tex]\frac{5x}{5\\}[/tex]= [tex]\frac{y-1}{5}[/tex]
he airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which inequality can be used to determine how many more people can board?
96 + x Less-than-or-equal-to 149
96 + x Greater-than-or-equal-to 149
96 + x > 149
96 + x < 149
This is the same as saying "96 + x less than or equal to 149"
====================================================
Explanation:
We start with 96 people already on board. We add on x more people. The x is a placeholder for a positive whole number.
In total, we have 96+x people on the plane. This total must not exceed the max capacity of 149. In other words, the largest value of 96+x is 149.
Since 96+x can be 149 or smaller, we can say 96+x ≤ 149
Answer:
The answer is A
Step-by-step explanation:
I got it right on edge
solve by substitution
1. 6x+ 5y=7 x-y=3
2. 3a +2b =4 2a + b=6
3. 2x + y= 4 4x -y=2
Answer:
1. y = 11
x = -48
2. a =8
b= -10
3. x= 1
y= 2
Step-by-step explanation:
1 . 6x + 5y = 7
x-y= 3
6x+5y = 7
6x-6y =18
-1y = - 11
6x + 5y = 7
y = 11
6x + 55 = 7
6x = -48
x = -48
y= 2/3x+7
x= -4
PLS HELP ASAP
Answer:
the slope will be
−
2
3
and the
y
-intercept will be
7
.
Step-by-step explanation:
Calculus. Find the area.
Answer:
8/3 square units.
Step-by-step explanation:
First, visualize the area. You can refer to the attachment below.
To find the area then, we will integrate y from x = 0 to x = 2. Therefore:
[tex]\displaystyle A=\int_0^2x^2\, dx[/tex]
Integrate:
[tex]\displaystyle A=\frac{1}{3}x^3\Big|_{0}^2[/tex]
Evaluate:
[tex]\displaystyle A=\frac{1}{3}[2^3-0^3]=\frac{1}{3}(8)=\frac{8}{3}[/tex]
The area is 8/3 square units.
Answer:
A = [tex]\frac{8}{3}[/tex] units²
Step-by-step explanation:
5/x=-9
find the variable
Answer:
x = -5/9
Step-by-step explanation:
5/x = -9
multiply by x on both sides
5 = -9/x
multiply by 1/-9 on both sides
-1/9*5 = -1/9 *-9/x
-5/9 = x
decide whether -3/12 terminates or repeats when expressed as a decimal
Answer:
Termintates
Step-by-step explanation:
It simplified is -.25, which, is a terminated decimal and does not repeat and go on
Answer:
Terminates
Step-by-step explanation:
first the signs don't matter, just remember to put it back at the end
try dividing it:
3 / 12 = 0 with 30 tenths left over
30 / 12 = 2 with 60 hundreths left over
60 / 12 = 5 with 0 thousandths left over
no more remainders so it terminates
Robert says that the slope of a line passing through (1,7) and (3,9) is equal to the ratio 1-3/7-9 is this correct
1 geometry question , multiple choice HELPPP??!!
=====================================================
Work Shown:
You'll need to use a trig ratio. Specifically, we'll be using cosine here
cos(angle) = adjacent/hypotenuse
cos(x) = 13/20
cos(x) = 0.65
x = arccos(0.65)
x = 49.4583981264954 which is approximate
x = 49
The missing angle is approximately 49 degrees
Make sure your calculator is in degree mode. The notation arccos refers to arccosine and it's the same as inverse sine.
marianne is a five years younger than her friends if the sum of their age is 61 how old is her friend
Step-by-step explanation:
let marianne friend age be x and
marianne age be x - 5
if the sum of their age is 61 I.e
x + (x- 5) = 61
x + x - 5 = 61
2x =61 +5
2x = 66
divide both sides by 2
x = 33
so marianne friend age is 33 and
and marrianne age is 33-5 = 28.
HELP!! im using the last of my points for this, im really bad at math and im stressed trying to do this.
Answer:
D. 19.6in
Step-by-step explanation:
ΔAFC is similar o ΔA'FC'. Therefore, their sides are in ration to one another:
FA/F'A'=AC/A'C'
9/(9+12)=8.4/A'C'
9/21=8.4/A'C'
3/7=8.4/A'C'
A'C'=8.4/(3/7)=19.6
Answer:
D. 19.6in have a good rest of yo life :)
And again... drop the answer or i'll drop ur ip :)
Answer:
IPS!!!! I am supposed to be OFF my COMPUTER by now!!!!
But, since you are one of my favorites.... I will do this one last thing for you this evening!
You're welcome!
You are doing a fantastic job in your courses by the way! I'm proud of you!
Step-by-step explanation:
I need help with this, anyone nice enough to help? :’)
Answer:
7m³ - 11m² + 5m + 17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3m³ - 4m² + 8 - (-4m³ + 7m² - 5m - 9)
Step 2: Simplify
[Distributive Property] Distribute negative: 3m³ - 4m² + 8 + 4m³ - 7m² + 5m + 9Combine like terms (m³): 7m³ - 4m² + 8 - 7m² + 5m + 9Combine like terms (m²): 7m³ - 11m² + 8 + 5m + 9Combine like terms (Z): 7m³ - 11m² + 5m + 17Hannah takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the length of the cut is 12 inches and the paper is 8 inches long, what is the width of the sheet of paper (nearest tenth)?
Answer:rrrr
Step-by-step explanation:rrr
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
8.9 inches
Step-by-step explanation:
use the Pythagorean theorem:
12^2=8^2+x^2
144=64+x^2
x^2=80
x=8.94
A ladder is leaning against a vertical wall. The distance from the top of
the ladder to the base of the wall is 23 feet. The distance from the base
of the wall to the bottom of the ladder is 5 feet. What is the length of the
ladder (nearest tenth)?
Answer:
23.5(to the nearest tenth)
Step-by-step explanation:
pythagoras theorem states
c^2= a^2+ b^2
a= 23
b=5
c^2= 529+25
c^2= 554
c= square root of 554
c = 23.5 (approximately)
this took me a lot of time
giving me brainliest will make me happy
How many x-intercepts would the function shown below have?
f(x) = 4(4x + 3)(x + 1)² (x^2– 3)
Answer:
Answer:
4Step-by-step explanation:
Given the function
f(x) = 4(4x + 3)(x + 1)² (x^2– 3)
The x-intercept occurs at a point where f(x) = 0
f(x) = 4(4x + 3)(x + 1)² (x^2– 3)
4(4x + 3)(x + 1)² (x^2– 3) = 0
4x+3 = 0
4x = -3
x = -3/4
(x + 1)² = 0
x + 1 = 0
x = 0-1
x = -1
x^2-3 = 0
x^2 = 0+3
x^2 = 3
x = ±√3
hence the x intercepts are -3/4, -1, √3 and -√3. This shows that there are 4 x intercepts
Solve each system by graphing y = -3x - 4,y = 1/2 x + 3
Answer:
answer is x=-2, y=2
Step-by-step explanation:
y=-3x-4,
y=1/2x+3
now plug in any points for x for both equations. I will plug in both x as 0.
y=-3(0)-4
y=-4
(0,-4)
y=1/2(0)+3
y=3
(0,3)
We have points now to plot on a graph.
Continue what I did. Maybe plug in 1 for x for both equations.
Hope this helps!
Answer:
x= [tex]\frac{-8y -6}{7}[/tex]
Step-by-step explanation:
Step 1: Add (-1)/2x to both sides.
−3x − 4y + [tex]\frac{-1}{2}[/tex] x = [tex]\frac{1}{2}[/tex] x + [tex]\frac{-1 }{2}[/tex] x
Step 2: Add 4y to both sides.
[tex]\frac{-7}{2}[/tex] x - 4y + 4y = 3 + 4y
[tex]\frac{-7}{2}[/tex] x = 4y + 3
Step 3: Divide both sides by (-7)/2.
[tex]\frac{-7 }{2}[/tex] x
= 4y+3
[tex]\frac{-7}{2}[/tex] [tex]\frac{-7}{2}[/tex]
Twice the complement of an angle is 24 degrees less than its supplement. What is the measure of the angle?
Answer:
2(90-x)=180-x-24
solve this
180-2x=156-x
solve the rest on your own
Hope it helps!
The measure of the angle will be 24 degree.
What is Complementary angle?
When sum of two angles are 90 degrees then the two angles are called Complementary angles.
Given that;
The expression is,
''Twice the complement of an angle is 24 degrees less than its supplement.''
Now,
Let measure of an angle = x degree
The complement of an angle x = (90 - x) degree
The supplement of an angle x = (180 - x) degree
Then, By the given condition we can formulate;
2 ( 90 - x) = (180 - x) - 24
180 - 2x = 180 - x - 24
180 - 2x = 156 - x
Subtract 180 both sides;
180 - 2x - 180 = 156 - x - 180
- 2x = - x - 24
Take negative sign common,
2x = x + 24
Subtract x both side,
2x - x = 24
x = 24
Thus, The measure of the angle will be 24 degree.
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Pa help po plss...
sa math po
Answer:
ok OK OK OK OK OK OK OK OK OK OK OK
simplify the expression. 7x^2+3-5(x^2-4) edguneity
Answer:
2x^2+23.
Step-by-step explanation:
Combine like terms.
This expression simplified is 2x^2+23.
Someone plz help me I will give brainliest
3) 0
5) 4 Minutes
4) 92,188,000
Step-by-step explanation:Question 3:
All numbers multiplied by 0 will always be 0.
So, a(110) × 0 = 0
-----------------------------------------------------------------------------------
Question 5:
100 ÷ 2 = 50 (#of times ÷ # of times)
50 × 5 = 250 (# of times × # of seconds)
250 ÷ 60 = 4.1 (#of total seconds ÷ seconds in a minute)
4.1 Rounded to the nearest tenth is 4.
Final Answer: 4-----------------------------------------------------------------------------------
Hope this Helps!:)
use a calculator ti find the values of the inverse trigonometric functions. round to the nearest degree.
sin^-1(2/3) = []
tan^-1(4) = []
cos^-1(0.1) = []
Answer:
wass the problem use the calc
Step-by-step explanation:
the 2nd function is ur bestie
Joel reflected point P over the y-axis to get P'(–1, 5). Find the original coordinates of P.
Answer:
The original point P is (-1, -5)
Since the original point was reflected over the y axis then you would reflect over the x axis to get the original point and when you reflect over the x axis the x coordinates stay the same and you change the y coordinates to the opposite of what it is
3 Each expression below shows the length and width of
a rectangle in yards. Write each expression in the
correct box according to the area it represents.
Answer:
less than 1yd²:
2/3x3/5= 2/5
1/4x5/3= 5/12
1/2x9/10= 9/20
equal to 1yd²
1/4x4/1= 1
4/3x6/8= 1
more than 1yd²
2/3x5/3= 1.1
Step-by-step explanation:
2/3x3/5= 2/5
1/4x4/1= 1
2/3x5/3= 1.1
1/4x5/3= 5/12
1/2x9/10= 9/20
4/3x6/8= 1
Answer:
2..........3
--- x ---
3............5
Step-by-step explanation:
goes to area less than 1square yard
a triangle has two angles that measure 18.6 degrees and 113.4 degrees respectively. what is the measure of the third angle?
ill give brainiest
Answer:
[tex]x = 48[/tex]
Step-by-step explanation:
[tex]18.6 + 113.4 + x = 180[/tex]
[tex]132 + x = 180[/tex]
[tex]x = 180 - 132 [/tex]
[tex]x = 48[/tex]
The sum of two numbers is 47. twice the first number and three times the second number have a sum of 100. Set up a system of equations to find the numbers
Answer:
23
Step-by-step explanation:
x + y = 47
2x + 3y = 100
Solving steps
x + y = 47 (-2)
2x + 3y = 100
We multiply the first equation by -2. This is so that x changes to -2x (So it would match the x below). We can then cross it over, since the equation below has 2x and -2x + 2x = 0.
-2x - 2y = -94
2x + 3y = 100
Y = 6
We get y = 6 by subtracting -2y (From the above equation) from 3y. This gives us Y. Afterwards, We subtract -94 (From the above equation) from 100 and that gives us 6. Therefore, y = 6.
To get x. We sub in the value for y into one of the equations and solve.
2x + 3(6) = 100
2x + 18 = 100
We bring over 18 from one side to the other, to get x alone. We have to change 18 to - 18 because it crosses over to the other side.
2x = 100 - 18
2x = 72
x = 72÷2
x = 36.
X = 36
Y = 6
(36, 6)
WILL MARK BRAINLIEST! Which statement is true about the data set?
The stem-and-leaf plot below shows the number of pages each student in a class read the previous evening. (see attached)
Which statement is true about the data set?
A) Its median is greater than its mode.
B) It has a range of 52 pages.
C) The value of the first quartile is 13.
D) The data is symmetric.
Answer:
A I think
Step-by-step explanation:
Select all of the expressions equivalent to 2(x + 9y) + 3(2x - 6y).
Answer:
8x
Step-by-step explanation:
=2(x+9y)+3(2x-6y)
=2x+18y+6x-18y
=2x+6x-0y
=8x