Elise is standing on top of a 48 foot building, and her height to her eye is 5.1 feet. Elise sees her friend, Molly standing on the ground. If Molly is 29.6 feet away from the base of the building and you wanted to find the angle of depression from Elise's eyes to Molly's feet, please write the final form of the equation you would use to determine the angle of depression.
Intitial set up equation:
Final equation (\angle∠ of depression = )
Answer:
Drip is the only answer
Step-by-step explanation:
A soccer ball travels upward from a height of 11 feet with an initial velocity of 20
feet per second. The quadratic function h (t) = -16t² + 20t+11 models the height
of the ball, where h (t) is the height, in feet, of the soccer ball and t is the time that
ball has been in the air, in seconds. When is the soccer ball above 15 feet?
A. The soccer ball is above 15 feet between 0 seconds and 0.5 second.
B. The soccer ball is above 15 feet between 0.5 second and 1 second.
C. The soccer ball is above 15 feet between 0:25 second and 1
second.
D. The soccer ball is above 15 feet between 0 seconds and 0.25 second.
The soccer ball is above 15 feet between 0.25 seconds and 1 second.
To determine when the soccer ball is above 15 feet, we need to find the values of t that satisfy the inequality h(t) > 15.
Given the quadratic function h(t) = -16t² + 20t + 11, we can rewrite the inequality as follows:
-16t² + 20t + 11 > 15
Subtracting 15 from both sides:
-16t² + 20t - 4 > 0
Simplifying further:
-16t² + 20t - 4 = -4(4t² - 5t + 1) = -4(t - 1)(4t - 1) > 0
Now, we can solve for t by finding the values that make the inequality true. We have two factors: (t - 1) and (4t - 1).
Setting each factor greater than zero and solving for t:
t - 1 > 0 => t > 1
4t - 1 > 0 => 4t > 1 => t > 1/4
So, we have t > 1 and t > 1/4. To satisfy both conditions, t must be greater than the maximum of 1 and 1/4, which is 1.
Therefore, the soccer ball is above 15 feet for t > 1 second.
The correct answer is:
C. The soccer ball is above 15 feet between 0.25 seconds and 1 second.
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Solve the linear equation using equivalent equations to isolate the variable. Express your solution as an integer as a simple fraction or as a decimal number.
t-5=9
The solution to the given linear equation is t = 14
Solving Linear equationsFrom the question, we are to solve the given linear equation.
From the given information,
The given linear equation is
t - 5 = 9
To solve the equation, we will use the addition property of equality
Solving the equation
t - 5 = 9
Add 5 to both sides of the equation
t - 5 + 5 = 9 + 5
Simplify
t = 14
Hence, the solution is t = 14
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Recently many airlines have had cancel flight in a single day republic airlines had to cancel 416 flights representing 15.1% of the airlines scheduled flights. How many flights were originally scheduled?
The number 2755 flights were scheduled.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Recently many airlines have had to cancel flights in a single day.
Republic airlines had to cancel 416 flights representing 15.1% of the airlines' scheduled flights.
The number of flights scheduled,
= 416 x 100/ 15.1
= 41600/15.1
= 2754.96
≈ 2755
Therefore, 2755 flights were scheduled.
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If M is the set of all square numbers less than 80 and N is the set of all non-negative even numbers that are under 30, Write the lists of all elements of M and N.
Answer:
The set M of all square numbers less than 80 is:
M = {0, 1, 4, 9, 16, 25, 36, 49, 64}
The set N of all non-negative even numbers that are under 30 is:
N = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}
Answer:
All elements of the set M in ascending order are:
1, 4, 9, 16, 25, 36, 49, 64All elements of the set N in ascending order are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28Step-by-step explanation:
A square number, also known as a perfect square, is a non-negative integer that is obtained by multiplying an integer by itself. In other words, it is the result of squaring an integer.
The square numbers less than 80 are:
1, 4, 9, 16, 25, 36, 49, and 64.An even number is an integer that is divisible by 2 without leaving a remainder.
The non-negative even numbers that are under 30 are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, and 28.Therefore:
All elements of the set M in ascending order are:
1, 4, 9, 16, 25, 36, 49, 64All elements of the set N in ascending order are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28The ratio of cups of blueberries to cups of blackberries in a muffin recipe is shown in the graph below
Answer:
The ratio is 5:4 (5 to 4)
Step-by-step explanation:
What graph should look like:
Blueberries (x) 5 10 15
Blackberries (y) 4 8 12
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
Answer: the answer is B
explanation: I just took the test
a researcher wants to examine the effect of fertilizer and the effect of sunlight on the yield of tomatoes. she bought 60 tomato plants at a local garden store. she randomly assigned 30 tomato plants to be planted on the sunny side of the hill and 30 to be planted on the shady side. the 30 plants which are planted on the shady side are randomly assigned to one of three groups. the first group are grown with no fertilizer, the second group with a small amount of fertilizer, and the third group with a large amount of fertilizer. the 30 plants which are planted on the sunny side are likewise randomly assigned to one of three groups. the first group are grown with no fertilizer, the second group with a small amount of fertilizer, and the third group with a large amount of fertilizer. all tomato plants are planted at the same time and are all treated alike (in terms of how much they are watered, weeded, etc.), and the person who tends the plants does not know which group each is in. each plant is grown to maturity. the total weight of tomatoes obtained from each plant is recorded. Describe the design of the experiment (completely randomized or blocked).
Completely randomized over one factor (location), blocked by fertilizer
Blocked by fertilizer, blocked by location
Completely randomized over one factor (fertilizer)
Completely randomized over one factor (fertilizer), blocked by location
Completely randomized over two factors (fertilizer and location)
The design of the experiment is Completely randomized over two factors (fertilizer and location).
Randomization is a statistical technique used in experimental design to ensure that all possible combinations of the factors being studied are represented in the study groups. It is used to eliminate bias and control for confounding variables that may affect the outcome of an experiment.
The researcher randomly assigned the tomato plants to be planted on either the sunny or the shady side of the hill. This creates two groups or two levels of the factor "location". She also randomly assigned the tomato plants to one of three groups based on the amount of fertilizer given, creating three groups or three levels of the factor "fertilizer".
The random assignment of plants to the different groups for both factors helps to ensure that any differences in the yield of tomatoes is due to the independent variables (fertilizer and location) being tested, and not due to other extraneous factors.
Therefore, The design of the experiment is Completely randomized over two factors (fertilizer and location).
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Which of the following is not a property of zero? A.Zero is neither positive nor negative.
B. If you add zero to a number, the answer will be that same number.
C. If you multiply any number by zero, the answer will be zero
D. if you divide any number by zero, the answer will be zero
Answer:
D
Step-by-step explanation:
you can't divide by zero
Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 2(x-6)2 + 5
A. F(x) = x2 + 5 and G(x) = x-6
B. F(x) = 2x + 5 and G(x) = (x-6)2
C. F(x) = x - 6 and G(x) = 2x2 + 5
O D. F(x) = (x - 6)2 and G(x) = 5
Answer:
\(f(x) = 2x + 5\)
\(g(x) = (x - 6)^2\)
Step-by-step explanation:
Given
(a) to (d)
Required
Which will give:
\(f(g(x)) = 2(x - 6)^2 + 5\)
Equate the expression in bracket to g(x)
\(g(x) = (x - 6)^2\)
Replace g(x) with x in: \(f(g(x)) = 2(x - 6)^2 + 5\)
\(f(x) = 2x + 5\)
What is the length of the shortest side of a triangle that has vertices at (-2, 5), (-2, -7), and (-6, -4)?
A. 9 units
B. 2√5 units
C. √7 units
D. 5 units
Answer:
D. 5 units
Step-by-step explanation:
To work out the length use formula:
\(length = \sqrt{(y₂-y1) {}^{2} + (x₂-x1) {}^{2}} \)
length of AB:
\(AB = \sqrt{( - 4 - 5) {}^{2} + ( - 6 - ( - 2)) {}^{2} } = \sqrt{97} \)
length of AC:
\(AC = \sqrt{( - 7 - 5) {}^{2} + ( - 2 - ( - 2)) {}^{2} } = 12\)
length of BC:
\(BC = \sqrt{( - 7 - ( - 4)) {}^{2} + ( - 2 - ( - 6)) {}^{2} } = 5\)
as you can see BC has the shortest side of 5 units
aaron borrowed 15 000 that has a simple interest rate of 3.75% .he plans to pay it off in 4 years . how much will he have to pay in interest ........if you see this can you help right away plzzz
Answer:
$2,250 in interest
Step-by-step explanation:
The simple interest formula applicable here is
i = prt, where p is the principal (initial value), r is the interest rate as a decimal fraction, and t is the number of years elapsed.
Here we have i = $15,000(0.0375)(4) = $2,250 in interest
Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a
horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to
right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in
inches) as a function of time t (in seconds)
a=
Answer:
Step-by-step explanation:
amplitude of oscillation a = 12 / 2 = 6 inches.
time period T = 2 s
b = angular frequency = 2π / T
= 2π / 2
= π
so putting the values in the equation
d = a cos ( b t )
d = 6 cos ( π t )
Answer:
there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25
Step-by-step explanation:
In the accompanying diagram of (triangle) ABC, AB is extended
to D, exterior angle CBD measures 145°, and m(angle)C = 75.
What is mZ CAB?
Given that:
\(m\angle CBD=145^{\circ},m\angle C=75^{\circ}\)Angle ABD is the sum of the angles CBD and CBA. Find angle CBA.
\(\begin{gathered} m\angle ABD=m\angle CBD+m\angle CBA \\ 180^{\circ}=145^{\circ}+m\angle\text{CBA} \\ m\angle CBA=180^{\circ}-145^{\circ} \\ =35^{\circ} \end{gathered}\)Use the fact that the sum of the interior angles of a triangle is 180 degrees.
Here the sum of the interior angles of triangle ABC is 180 degrees.
\(\begin{gathered} m\angle CAB+m\angle ABC+m\angle BCA=180^{\circ} \\ m\angle CAB+35^{\circ}+75^{\circ}=180^{\circ} \\ m\angle CAB+110^{\circ}=180^{\circ} \\ m\angle CAB=180^{\circ}-110^{\circ} \\ =70^{\circ} \end{gathered}\)The measure of the angle CAB is 70 degrees.
Second option is correct.
Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X:(a) f(x) = c(x2 + 4), for x = 0, 1, 2, 3;(b) f(x) = c (2x) (33-x) , for x = 0, 1, 2. 2.^^(2 is supposed to be directly above x, but not in fraction form, same for 3 and 3-x)
The value of c is 1/17.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2
We have to find the value of c
Since f(x) represents the probability distribution x = 0, 1 ,2
So we have f(0)+f(1)+f(2)=1
c(0²+4)+c(1²+4)+c(2²+4)=1
4c+5c+8c=1
17c=1
Divide both sides by 17
c=1/17
Hence, the value of c is 1/17.
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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?
a.
1/3
b.
1/17
c.
1/2
d.
1/13
Finn feeds his puppy 1/2 of a cup of food 3 times per day Finn has 4 1/2 cups of food left how many days will it take to use all the food?
Answer: There are 3 days until all the food is gone.
Step-by-step explanation:
If you take 1 1/2 x 3 = 1 1/2 and then take 4 1/2 and divide that by the 1 1/2 you got, You will then get your answer which is 3. Looks like he might wanna get more dog food within 3 days.
Answer:
3 days
Step-by-step explanation:
we first turn 4 1/2 into its decimal 4.5 then divide it by 1/2 or .5 and get 9. we then take 9 and divide it by 3 for the amount of times a day the puppy gets fed. after that step we have out answer of 3 days.
7(4p+2q+3r) apply the distributive property to create an equivalent expression
Answer:
28p + 14q + 21r
Step-by-step explanation:
7(4p + 2q + 3r) ← multiply each term in the parenthesis by the 7 outside
= 28p + 14q + 21r
A normally distributed data set has a mean of 0 and a standard deviation of 0.5. Which is closest to the percent of values between –1 and 1?
34%
50%
68%
95%
As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.
What is equation?A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.
For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.
Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.
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Suppose you have a litter of mice which consists of 5 males and 3 females. If you randomly grab two of them without replacement.
1. what is the probability that they are both male?
2. what is the probability that you get at least one female
3. what is the probability that one is male and one is female
Problem 1
Answer: 5/14-----------------------
Explanation:
We have 5 males and 3 females, so there are 5+3 = 8 mice total. The probability of selecting a male is 5/8. After that male is chosen, there are 5-1 = 4 of them left out of 8-1 = 7 total. This subtraction happens because the first mouse selected is not replaced. The probability of picking another male is 4/7.
Multiplying these fractions leads to the answer
(5/8)*(4/7) = (5*4)/(8*7) = 20/56 = 5/14
Note: to reduce 20/56 into 5/14, you divide both parts by the GCF 4.
====================================================
Problem 2
Answer: 9/14-----------------------
Explanation:
The events "selecting two males" and "selecting at least one female" are complementary events. One or the other, but not both, must happen.
If we let
A = event of selecting two malesB = event of selecting at least one female (ie one or more females)then we can say
P(A) + P(B) = 1
P(B) = 1 - P(A)
P(B) = 1 - (5/14)
P(B) = (14/14) - (5/14)
P(B) = (14-5)/14
P(B) = 9/14
Note how P(A) = 5/14 is the result from problem 1.
====================================================
Problem 3
Answer: 15/28-----------------------
Explanation:
The probability of selecting a male is 5/8. After the male is chosen, there are 8-1 = 7 mice left. The probability the second mouse is female is 3/7 since there are 3 female mice out of 7 left total.
We get this result after multiplying the values: (5/8)*(3/7) = 15/56
Now consider that the first mouse is female. The probability of this is 3/8. The probability that the second mouse is male is 5/7.
The fractions multiply to (3/8)*(5/7) = 15/56. We get the same result as before due to the numerators swapping places, but not much else happens. So we have a sort of symmetry going on here.
The last step is to add the two results we got:
(15/56)+(15/56) = (15+15)/56 = 30/56 = 15/28
Or you could compute it like this
2*(15/56) = (2*15)/56 = 30/56 = 15/28
The '2' is to signify there are two ways to select exactly one male and exactly one female, where the order doesn't matter.
--------------------------
Here's another way we can get the answer.
The probability we get both males is 5/14 found back in problem 1.
The probability we get both females will follow the same idea as problem 1, and we would compute (3/8)*(2/7) = 6/56 = 3/28
Add those fractions: (5/14) + (3/28) = (10/28) + (3/28) = 13/28
Now consider the events
C = event of selecting two mice of the same gender (both are male OR both are female; pick 1 scenario only)D = event of selecting two mice of different genders (the first is male, the other is female, or vice versa)Events C and D are complementary events.
We calculated that P(C) = 13/28, which means
P(D) = 1 - P(C)
P(D) = 1 - (13/28)
P(D) = (28/28) - (13/28)
P(D) = (28-13)/28
P(D) = 15/28
Find the value of x.
please show work
Answer:
x = 126
Step-by-step explanation:
The angle indicated with 126° and the angle represented with (5y - 4) are alternate angles and their measures are equal so we can write the following equation to find the value of y:
5y - 4 = 126 add 4 to both sides
5y = 130 divide both sides by 5
y = 26
x and the angle indicated with 126 are also alternate angles so
x = 126
The angle represented with (5y - 4) are the angle represented with (6z + 6) are supplementary angles and their sum is equal to 180, we can write the following equation based on this information:
6z + 6 + 126 = 180 add like terms
6z + 132 = 180 subtract 132 from both sides
6z = 48 divide bot sides by 6
z = 8
What is the least common denominator of 3/5 and 9/10?
Answer:
9/10
Step-by-step explanation:
3/5 = 6/10 = 9/10 = 9/10
I'm not 100% sure of this answer someone please correct me if I'm incorrect.
1. Baking Blueberry Pies
Mrs. Berry is famous for her pies. She has been making pies in her bakery for many
years. She knows that it takes 1 2/3 cups of flour to make her special pie crust. She
buys flour in 25 pound bags and knows that each pound contains about 3 cups of flour.
How many pies can she expect to make from a 25 pound bag of flour?
Answer:
45 piesStep-by-step explanation:
25 pound bag contains:
25*3 = 75 cups of flourNumber of pies:
75 : 1 2/3 = 75 : 5/3 = 75 * 3/5 =45 piesThere are 24 chairs in 4 rows
Answer: 6 columns
Step-by-step explanation: If there are 4 rows it should be 6 columns because 4 x6 equals 24, make me brainliest please
VI. In a class of 40 students, the marks obtained in Mathematics (out of 50) are as under: 44,50,44,49,42,47,45,42,44,48,49,48,47 49,47,41,45,48,41,48,41,42,47,49,49,48, 50.47.49.48.46.44.45.45.46.44.42.47.48.45 ow answer the following questions: a) b) c) d) e) Find the number of students getting more than 45 marks. Find the number of students getting less than 45 marks. Find the maximum number of students getting the same marks. Find the average marks obtained by the students in the class. Find the number of students getting more than average marks.
a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.
In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.
Counting these numbers, we find that there are 17 students who obtained more than 45 marks.
b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.
In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.
Counting these numbers, we find that there are 15 students who obtained less than 45 marks.
c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.
In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.
Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.
d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.
Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45
= 1912
Total number of students = 40
Average marks = Total marks / Total number of students
= 1912 / 40
= 47.8
Therefore, the average marks obtained by the students in the class is 47.8.
e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.
In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,
49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.
Counting these numbers, we find that there are 40 students who obtained more than the average marks.
All of the following are equivalent except
x-7
X-(-7)
-7+x
x+(-7)
Answer:
X-(-7)
Step-by-step explanation:
If you are subtract by a negative number it turns it into a positive. It would look like this: X+(+7)
The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).
Find the coordinates of the other endpoint, D.
Answer: Endpoint = (-4,6)
Step-by-step explanation:
To find any endpoint use the formula \(\frac{x_1+x_2}{2} = Xmp\) \(\frac{y_1+y_2}{2} =Ymp\)
\(\frac{6+x_2}{2} = 1\) \(\frac{-2+y_2}{2} =2\)
multiply each by 2 to simplify
\(\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2\) \(\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4\) take the equations and simplify
6+\(x_{2}\) = 2 -2+\(y_{2}\) = 4 =
-6 -6 +2 +2
\(x_{2}\) = -4 \(y_{2}\) = 6
To check use the Midpoint formula
\(\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)\)
please help algebra II
Answer:
If any horizontal line intersects the graph of f more than once, then f does not have an inverse. If no horizontal line intersects the graph of f more than once, then f does have an inverse. The property of having an inverse is very important in mathematics, and it has a name.
Step-by-step explanation:
1. Why should you plan for retirement now? Use 2-3 complete sentences
What does £ mean in math? Not in currency.
it means mean in statistics. I'm not sure tho..
Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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Give an example of each of the following, or argue that such a request is impossible.
a. A sequence that has a subsequence that is bounded but contains no subsequence that converges.
b. A sequence that does not contain 0 or 1 as a term but contains subsequences converging to each of these values.
c. A sequence that contains subsequences converging to every point in the infinite set {1, 1/2, 1/3, 1/4, 1/5,...}.
d. A sequence that contains subsequences converging to every point in the infinite set {1, 1/2, 1/3, 1/4, 1/5,...}, and no subsequences converging to points outside of this set.
Answer and Step-by-step explanation:
Solution:
(a) Let (bn) be a bounded sequence of (an) then, Bolzano- Weierstrass theorem,
(bn) contains a subsequence that is converges.
(b) The sequence :
Xn = 1 + (-1) n / 2 + 1/n
Clearly, (xn) does not contain 1 or 0.
If we take sequence (x2n), then it converges to 1 and when we take sequence (x2n+1),
Then it converges to 0.
(c) The sequence:
1
1,1/2
1, 1/2, 1/3
1, 1/2, 1/3, 1/4
i.e
(xn) = (1,1/2, 1, 1/2, 1/3, …)
Then, the subsequence (xn) that is identically ½ in second column and 1/3 is third column and so on.
It has sub sequence that converges to every point in infinite set {1, 1/2, 1/3, 1/4, 1/5…}.
(d) The sequence
{1, 1/2, 1/3, 1/4, 1/5…}
if we take sequence of given set, then, this set converges to zero. This is not contained in it.
If (xn) converges to every point in set {1, 1/2, 1/3 …} then there exists subsequence which converges to 0. And 0 does not belong to given set.