Answer:
a. False the series [tex]\sum\limits_{i=1}^\infty (-1)^n[/tex]is bounded but does not converge
b. False, xₙ = n + (-1)ⁿ⁻¹(n - 1) does not diverge to infinity but it is not bounded for n ≥ 1
c. False some bounded sequences are divergent
An example of divergent sequences, aₙ, and bₙ, such that aₙ + bₙ converges is [tex]a_n = \sum\limits_{n} \dfrac{1}{n} , \, b_n = \sum\limits_{n} \dfrac{-1}{n}[/tex]
[tex]\sum\limits_{n} \dfrac{1}{n} + \sum\limits_{n} \dfrac{-1}{n}[/tex] is convergent
Step-by-step explanation:
Which quadrilateral with side lengths shown will have a perimeter of 18 meters?
3 m, 5 m, 4 m, 6 m
4 m, 4 m, 4 m, 4 m
5 m, 2 m, 5 m, 2 m
4 m, 7 m, 2 m, 6 m
To get the perimeter, add the values in each shown.
Starting with the first one 3+5+4+6=18 m so it is the answer.
The Great Wall of China is about 20 feet high and abiut 15 feet wide what is the volume of a 1-mile section of the wall? (The whole wall is more than 5,000 miles long!)
Answer:
79200 feet is the volume of great wall.
Step-by-step explanation:
1 mile = 5280 feet
5280 feet × 15 feet = 79200
The height is the thing that we don't need to use, because you need volume, volume is the place where the wall at, the place is 79200 feet.
And I have question for you, have you ever go to China, did you go to the great wall, where did you come from.
So a 1-mile section of the Great Wall of China has a volume of 1,584,000 cubic feet.
What is volume?Volume is a measure of the amount of space occupied by a three-dimensional object or substance. It is typically measured in cubic units such as cubic meters, cubic centimeters, or cubic feet.
The volume of an object is determined by measuring the length, width, and height of the object and then multiplying these three dimensions together.
To calculate the volume of a 1-mile section of the wall, we need to first calculate the area of the wall in square feet, and then multiply it by the length of the 1-mile section.
The area of the wall can be calculated as the product of its height and width:
Area = Height x Width = 20 feet x 15 feet = 300 square feet
To convert the 1-mile distance to feet, we need to multiply it by the number of feet in a mile:
1 mile = 5280 feet
Therefore, the volume of a 1-mile section of the wall can be calculated as:
Volume = Area x Length = 300 square feet x 5280 feet = 1,584,000 cubic feet
So a 1-mile section of the Great Wall of China has a volume of 1,584,000 cubic feet.
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2x+2y=-2
3x-2y=12
What is this please
Answer:
x=2, y=-3
Step-by-step explanation:
This type of problems is called a system of equations, or simultaneous equations.
When solving simultaneous equations, you need to first make sure you have two unknown terms of the same number but different signs - this is so one unknown cancels out because we can only solve when there's one unknown. We already have this ('2y' and '-2y'). Now we just add the 'x's, the 'y's and the numbers:
2x+2y=-2
3x-2y=12
(2x+3x)+(2y-2y)=(-2+12)
5x=10
x=2
Now that we know the value of x, use it to find y:
2x+2y=-2
2(2)+2y=-2
4+2y=-2
2y=-6
y=-3
If a bus travels 20 km east in 30 minutes. What is the average velocity & displacement of the bus?
Answer:
i. Average velocity = 11.11 m/s
ii. Displacement of the bus is 20000 m due east.
Step-by-step explanation:
The displacement of an object is the distance covered towards a definite direction, while the velocity of an object is the rate of its displacement in a given time.
average velocity = [tex]\frac{displacement}{time taken}[/tex]
But,
20 km = 20 000 m
30 minutes = 30 x 60
= 1800 s
So that,
average velocity = [tex]\frac{20000}{1800}[/tex]
= 11.1111
average velocity = 11.1 m/s
The displacement of the bus is 20 km due east.
Find the Borda score for the Mustangs in a competition between Mustangs, Avengers, Falcons and Ravens. The voting results by preference are shown:
MAFR: 3
AMFR: 6
FAMR: 1
RAFM: 4
Answer:MAFR: 3
Step-by-step explanation:
Find the measure of 46.
62°
16
46 = [?]
Answer:
118
Step-by-step explanation:
62+ m<6=180
180-62=118
m<6=118
?=118°
Answer:
<6+62=180 co interior angle
<6=180-62=118°
I just need the answer the work isn't necessary
Answer:
57°Step-by-step explanation:
Vertical angles theorem states that vertical angles are congruent.
Arcs EF and are intercepted by vertical angles, therefore:
mAB = mEF = 36°Angle addition postulate.
mABD = mAB + mBDCentral angle has same measure with intercepted arc.
mBD = m∠BCD = 21°So the arc ABD is:
mABD = 36° + 21° = 57°A company uses this formula to work out the cost, £A, of a taxi ride.
A = 5 + 1.9m + b
£5 is a fixed charge
m is the number of miles travelled
£b is a charge for booking online
a) Harry books a taxi online and travels 12 miles.
He pays £29.48 altogether.
How much is the charge for booking online?
b) If Sue books online and travels 20 miles, what will be
Answer:
£b = £1.68
A = £44.68
Step-by-step explanation:
Given:
A = 5 + 1.9m + b
Where,
A = total cost
m = number of miles travelled
£b = charge for booking online
£5 = fixed charge
A. Harry
A = £29.48
m = 12 miles
£b = ?
A = 5 + 1.9m + b
29.48 = 5 + 1.9(12) + b
29.48 = 5 + 22.8 + b
29.48 = 27.8 + b
29.48 - 27.8 = b
b = 1.68
£b = £1.68
b) If Sue books online and travels 20 miles, what will be
A = 5 + 1.9m + b
= 5 + 1.9(20) + 1.68
= 5 + 38 + 1.68
= 44.68
A = £44.68
What number is equal to 2.8 - 4 ÷ 4? 02 03 O 14 O 15
Answer:
1.8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2.8 - 4 ÷ 4
Step 2: Evaluate
Division: 2.8 - 1Subtraction: 1.8At the We-Pack Shipping, the workers can unload 28 trucks in 7 hours. Which of the following is a correct unit rate for this situation?
1 truck per hour
4 hours per truck
1 over 4. of a truck per hour
1 over 4. of an hour per truck
Answer:
4 trucks per hour
Step-by-step explanation:
You would do the trucks over the hours to get the ratio so, 28:7 is equal to 4:1 because 28/7 = 4
If tan(A+B)=8 and tan B = 1/57 find tan A
Plz show work
Answer:A=8-1/57=455/57=7.98
Step-by-step explanation:
Please help!! Thank you
Answer:
Equilateral acute
Step-by-step explanation:
Equilateral acute
If Suzannah’s budget limit is $10 per month, how many text messages can she
send in one month?
Answer:
10
Step-by-step explanation:
What is the area of the front face?
Answer:
the area of the front face would be 40 square inches.
Step-by-step explanation:
to find the are of a rectangle, you multiply the length times the width. we can see that the length is 8 inches at the bottom of the front face and we can see that width is 5 inches next to the left side face. if we take those two numbers (5 and 8) and multiply them, we get 40. all you have to do after that is add "square inches" to the end because when you find the area of something, it will be squared and the measurement used in inches.
HELP ANSWER AND EXPLAIN I’LL MARK BRAINLIEST
Answer:
x = 2.2, y = 5.3
Step-by-step explanation:
This question is asking us to solve a system (find x and y). Because they give us that y = 1.5x + 2, then we can use this to substitute into the second equation.
9x + 4y = 41
9x + 4(1.5x + 2) = 41
Simplify.
9x + 6x + 8 = 41
15x + 8 = 41
Subtract 8 from both sides.
15x = 33
Divide both sides by 15.
x = 11/5 = 2.2
To find y, substitute x = 2.2
y = 1.5x + 2
y = 1.5 * 2.2 + 2
y = 3.3 + 2
y = 5.3
Now, we can double check to see if these two answers are right. Plug these numbers into the other equation (because to find y, we already used the first equation, so there is no need to check it, as it would just give us 5.3 = 5.3)
9x + 4y = 41
9 * 2.2 + 4 * 5.3 = 41
19.8 + 21.2 = 41
41 = 41
Thus, the answer is correct.
I hope this helps! Feel free to ask any questions!
GEOMETRY
PLEASE HELP
PICTURE INCLUDED
Answer:
x = 25°
Step-by-step explanation:
3x + 30 + 2x + 3x + 30 + 4x = 360° (a full circle contains 360°)
12x + 60° = 360°
12x = 300°
x = 25°
Algebra find the value of x in each figure.
Answer:
b. 156
Step-by-step explanation:
180 - 29 = 151
x-5=151
x=151+5
Answer:
x = 156
Step-by-step explanation:
A straight line has an angle of 180 degrees. Subtract the known angle from 180:
180 - 29 = 151
The missing angle is 151 degrees. The value of x is 5 more, given 151 = ( x - 5 ).
151 + 5 = 156.
x = 156.
Hope that helped :)
For some constant c, the random variable X has probability density function
f(x)=(c(1-x)^9, 0≤x≤1
0, otherwise)
a) Find c.
b) Find P(X>0.6)
Answer:
b) Find P(X>0.6)
Explanation:
In order to find the product to the unknown variable you have to first solve the equation that has the parenthesis, The reason you should first find the parenthesis is because of The Order Of Operations, You have to first do parenthesis to find the unknown variable.
PLS PLS PLS PLS PLS PLS PLS HELP ME OUT THERE IS A PHOTO ATTACHED PLS ITS EASY I THINK FOR U PLS
In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45, which is the consumption level separating the bottom 45% from the top 55%.
1021.7
1148.1
1087.8
1078.3
Answer:
1021.7
Step-by-step explanation:
lol i guess im sry if im wrong
if i right can i have brainliest?
Answer:1021.7
Step-by-step explanation:
how many sticks would be in pattern n
Answer:
Depending on the equation it will change
n=1 (not in an equation)
Step-by-step explanation:
Pls mark BRAINLIEST
2
Round 2674 to the nearest hundred
2674 to the nearest hundred would be 2700
attached is the question
Answer:
x * c = c * x
Step-by-step explanation:
The commutative property of multiplication says that you can multiply in any order. Knowing that, to “Illustrate the commutative property of multiplication”, you simply have to flip-flop the order of x and c.
Hope this helps!
Thando bought 24 marbles and lost 4/6 of his marbles how many did he lose?
Answer:
he lost 16, he has 8 left
Step-by-step explanation:
24 divided by 6 =4
4 x 4 = 16
24 - 16 = 8
How many 1/5’s are in 2
Answer:
10 fifths
Step-by-step explanation:
Answer:
There are 2 halves in a whole. There are 3 thirds in a whole. There are 4 quarters in a whole. There are 5 fifths in a whole.
Step-by-step explanation:
I guess 0.4 times?
I got 49 will someone double check me please?!
Answer:
m<YVX = 49°
Step-by-step explanation:
Given:
m<YVZ = 52°
m<ZVW = 36°
m<XVU = 43°
m<YVX + m<YVZ + m<ZVW + m<XVU = 180° (angles in a straight line)
m<YVX + 52 + 36 + 43 = 180 (substitution)
m<YVX + 131 = 180
m<YVX = 180 - 131
m<YVX = 49°
PLATO! Select ALL the correct answers.
Identify the scenarios in which the statistics are misleading.
A. a music store owner claims that about 15% of high school students in his city can play the piano. He concludes this after surveying 80 randomly selected students from the various high schools in
his city.
B. A supermarket claims that 65% of its shoppers would like to see home delivery offered. They arrived at the conclusion by polling 50 randomly selected customers on a Tuesday afternoon.
C. A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.
D. A website claims that 47% of its visitors click on at least one advertisement while browsing the site. The information was collected from a database containing all the activity on the website
during the past month.
E. A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.
Answer:
C. A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.
E. A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.
Step-by-step explanation:
These two are the biased reports because they don't include the full population.
C is biased because it only includes teens, not people of any other age.
E is biased because it only included males, not females.
A isn't biased because it includes the stated population, high school students in the city.
B isn't biased because the sample was of 50 random customers, which is the general population.
D isn't biased as it included all data from the website.
Hope this helps!
The solution is,:
1) A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.
3) A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.
What is sample and statistic?A portion of population taken and analyzed to predict information about population is called sample of that population.
Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.
Those numbers who summarize information about sample are called statistic.
(Statistic is different than statistics)
The numbers which summarize information about the sample are called statistic.
The scenarios in which the statistics are misleading;
1) A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.
3) A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.
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There are thirty seven students in the Service Club. They have to vote to send 4 representatives to a board meeting:
president, vice-president, secretary and treasurer. How many different ways can the group of four be selected? Choose
the correct representation of the group.
Picking 4 students out of 37 students would be a permutation.
This is written with the total students first, the letter P then the number of students getting picked:
The answer would be D. 37P4
Solve for x. 5000(2)^x = 3500(3)^x
Answer:
0.887966
Step-by-step explanation:
1. Divide by 3500
(5000/3500)(2^x) = (3^x)
2. divide by 2^x and simplify
10/7 = (3/2)^x.
3. apply 'ln' function
ln(10/7) = xln(3/2)
4. divide ln(3/2)
ln(10/7) / ln(3/2) = x
x = 0.87966
1. Find the measure of the given angle. All changes saved
156
L
N
?
M M
124 °
29°
55°
23°
40°
Answer:
Dews
Step-by-step explanation:
2w8eww ejmuiieieis
Answer:40
Step-by-step explanation:Because i did the assignment.