Answers
Answer:
Divergent
Step-by-step explanation:
an = 3 sin(2/n)
Choose bn = 3 (2/n).
Using Limit Comparison Test:
lim(n→∞) an / bn
= lim(n→∞) [3 sin(2/n)] / [3 (2/n)]
= lim(n→∞) [sin(2/n)] / (2/n)
= 1
The limit is greater than 0, and bn diverges, so an also diverges.
Related Questions
Simplify the problem 4{28-[10+(3+1)×2]}
Answers
Answer:
= 40
Step-by-step explanation:
Calculate within the parentheses:
28 - [10 + (3 + 1) * 2]
= 10
Calculate within the parentheses:
[10 + (3 + 1) * 2]
= 18
Subtract (Left to right):
= 28 - 18
Simplify:
= 4 * 10
Simpliy:
= 40
it’s a little less complicated that you think i’m not sure if this was the answer but i did it as i could remember.
Increased by 175%, the number of 24 becomes what?
Answers
Answer:
66
Step-by-step explanation:
increase the number by 175% of its value.
percentage increase = 175% × 24
new value =
24 + percentage increase =
24 + (175% × 24) =
24 + 175% × 24 =
(1 + 175%) × 24 =
(100% + 175%) × 24 =
275% × 24 =
275 ÷ 100 × 24 =
275 × 24 ÷ 100 =
6,600 ÷ 100 =
66
Which is a perfect square?
Answers
Answer:
2 by 2
Step-by-step explanation:
or 4 by 4 I think I mean that would be mine
Answer:
The perfect squares are the squares of the whole numbers: 1 4 9 16 25 36 49, 64, 81, 100 Here are the square roots of all the perfect squares from 1 to 100. 1
Step-by-step explanation:
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?
Answers
Answer:
(22,0)
Step-by-step explanation:
22 0
35 -15
48 -30
61 -45
74 -60
Question 3
20 pts
The Indians won 14 out their last 20 games. What percent of their games
did they win?
Answers
Answer:
They won 70% of their games.
Step-by-step explanation:
Convert your fraction to a percentage.
Divide 14 by 20, which gets you 0.70.
Then multiply it by 100, which gives you 70.
Now you have a fraction of 70/100.
That's how you get 70%
What is (7x1)+(4x1/10)+(6x1/1000) written as a decimal in standard form?
Answers
Answer:
7.406
Step-by-step explanation:
It is 7.406 because 7x1 is 7, 4/10 is 0.4, and 6/1000 is 0.006. If you add those together, you will get 7.406.
7.406 is the decimal form
What is decimal in numeral system ?
The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation. A formal way to read decimals is to read the whole part as a whole number, then the decimal dot as “and” and then reading the fractional part altogether but using the place value of the last digit with it.
= (7x1)+(4x1/10)+(6x1/1000)
= 7 + 0.4 + 0.006
= 7.406
therefore , the decimal form of the expression is 7.406
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My four-year-old son loves playing out in the garden. His favourite activity is digging up and inspecting creepy crawlies, especially snails. If he is patient enough, after the initial shock of being uprooted, they will emerge cautiously from the safety of their shells and start to glide over his little hands leaving viscid trails of mucus. Eventually, when he tires of them, he will discard them, somewhat callously, in the compost heap or on the woodpile behind the shed. Late last September, after a particularly busy session in which he had unearthed and disposed of five or six large specimens, he came to me as I was sawing up wood for the fire and asked ‘Daddy, how many snails is [sic] there in the garden?’ A deceptively simple question for which I had no good answer. It could have been 100 or it could have been 1000. To be quite honest, he would not have comprehended the difference. Nevertheless, his question piqued an interest in me. How could we figure this out together? We decided to conduct an experiment. The next weekend, on Saturday morning, we went out to collect snails. After ten minutes, we had a total of 23 of the gastropods. I took a sharpie from my back pocket and proceeded to place a subtle cross on the back of each one. Once they were all marked up, we tipped up the bucket and released the snails back into the garden. A week later we went back out for another round. This time, our ten-minute scavenge brought us just 18 snails. When we inspected them closely we found that three of them had the cross on their shells, while the other 15 were unblemished. This was all the information we needed to make the calculation. What is the total amount of snails
Answers
Answer:
There are 38 snails.
Step-by-step explanation:
The surface area of the rectangular prism can be found using the expression
6
x
3
+
4
x
2
+
12
x
. If the value of x is 3, what is the surface area, in square centimeters, of the prism?
Answers
Answer:
102
Step-by-step explanation:
6*3*3+4*3*2+12*2=102
hopefully, it's right
What is the equation of the line that is parallel to the line 2x − y = 3 and passes through the point (2, −1)?
A. y = −½ x − 5
B. y = −½ x − 1
C. y = 2x − 5
D. y = 2x − 1
Answers
Answer:
C. y = 2x − 5
Step-by-step explanation:
Given equation of line
2x − y = 3
rewriting the equation in slope intercept form as answer are given slope intercept form
y = 2x - 3
slope intercept form of equation is
y = mx + c
where m is the slope
c is y intercept
thus
slope for y = 2x - 3 when comparing with y = mx + c is 2
now we know slope of two parallel line is same
thus,
the slope of line that is parallel to the line 2x − y = 3
is 2
Let the equation of required line be y = mx + c
where m = 2
thus
y = 2x + c is the new required equation
it passes through the point (2, −1)
using y = -1 and x = 2 in y = 2x + c
-1 = 2*2 + c
c = -1 - 4
c = -5
thus,
equation of required line is option c
y = 2x - 5 ----answer
The roots of the equation x^2+bx+c =0 are -4 and 2. Find c using the quadratic formula
Answers
Answer:
Step-by-step explanation:
Hello,
c= -4 * 2 = -8 as
[tex]x^2+bx+c=(x+4)(x-2)=x^2+2x-8[/tex]
with the quadratic formula
[tex]x_1=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}[/tex]
And
[tex]x_1x_2=\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{c}{a}[/tex]
thanks
What is the perimeter of a square with the side length of 31cm?
Answers
Answer:
Perimeter = 124cm
What type of number is V40?
Choose all answers that apply:
А
Whole number
B
Integer
С
Rational
D
Irrational
PLEASE ANSWER!!!
Answers
Answer:
A, B, and C
Step-by-step explanation: I'm going to assume the V is a typo. 40 is a whole number (it isnt a fraction or decimal), an integer, and rational because it is a real number and ends.
I need to turn this in by tomorrow!!!!! PLEASE HELP ME.
Answers
Step-by-step explanation:
Alternate interior angles :- 1 , 4
corresponding angles :- 3
same side interior angles :- 2 , 5 , 6
HELP WITH 4. AND 5. Thanks in advance
Answers
How can you best rearrange the terms in the following expression to create an equivalent expression that would be easier to simplify?
−4(y−5)+2y−77
Answers
Answer:
-4y + 20 + 2y - 77
Step-by-step explanation:
Apply the distributed property, so it now looks like this: -4y -(-20) + 2y-77Simplify: -4y + 20 + 2y - 77I hope this helps!
100 POINTS SHOW YOUR WORK, ANSWER ALL PLEASE HELP!!!!
A chef has a favorite muffin recipe that uses 1/2 cup of blueberries for a whole batch. He has 3/4 cups of blueberries that he wants to use. Which equation can be used to solve for the number of batches of muffins, b, that the chef can make?
3/4 ÷ 1/2 = B
3/4 ÷ 2/1 = B
1/2 ÷ 3/4 = B
2/1 ÷ 3/4 = B
Monty has 3/4 pound of trail mix. He needs to divide the trail mix into 1/8 pound bags. How many trail mix bags will Monty have?
An adult elephant in the wild spends about 16 hours each day eating. During that time, the elephant will eat about 525 pounds of food.
If the elephant eats the same amount of food each hour, about how much food does it eat in one hour, to the nearest whole pound? Show or explain how you got your answer.
Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500?
Mr. Morris used the greatest common factor and the distributive property to rewrite the sum 45 + 27.
What did he write?
A club with 24 members has 4,896 event flyers to pass out.
Each member will be given the same number of flyers.
How many flyers does each member get?
Xavier is solving a problem on the whiteboard as shown.
Part A. Is Xavier's solution correct? If not, identify where he made an error.
Part B. Solve 7950 divided by 25.
Answers
Quantity of trail mix with Monty = 3/4 pounds
Quantity of pounds he need to divide it into = 1/8
Number of trail mix bags Monty will have =
= 3/4 ÷ 1/8
= 3/4 × 8/1 ( division of fraction is multiplication with reciprocal )
= 24/4
We know that both 24 and 4 is divisible by 4 . Hence ,
= 24 ÷ 4 / 4 ÷ 4
= 6/1
= 6 bags
Therefore , Monty will have 6 bags of trail mix .
Solution 3 :Quantity of food an elephant eats in 16 hours = 525 pounds
Quantity of food the elephant will eat in 1 hour = 525 ÷ 16
Quantity of food the elephant will eat in 1 hour = 32.8125 pounds = 33 pounds
Therefore , an elephant eats 33 pounds of food in 1 hour .
Solution 4 :Number of tickets that can be purchased with $14 = 1 ticket
Number of tickets that can be purchased with $500 =
= 500 ÷ 14
= 35 tickets
Therefore , 35 tickets can be purchased with $500 .
Solution 5 :Factors of 45 = 1 , 5 , 3, 9 , 15 and 45 .
Factors of 27 = 1 , 3 , 9 and 27 .
Their Greatest common factor = 9 .
Then , the sum of 45 and 27 can be written as :
9 ( 5 + 3 )
Therefore , Mr . Morris wrote = 9 ( 5 + 3 ) .
Solution 6 :Total number of event flyers in a club = 4896
Total number of playerz in a club = 24
Then number of flyers each member of the club will get =
= 4896 ÷ 24
= 204
Therefore , each player will get 204 flyers .
Solution 7 :Part A is not given .
Part B :
= 7950 ÷ 25
= 318
Therefore , 7950 ÷ 25 = 318 .
I need help finding the function equasion of this table
X Y
0 0
1 4
2 16
3 36
4 64
Answers
John earns $6 per hour washing dishes. How many hours must he work to make at least $150?
Answers
How do you solve this? Without going into anything to complicated as this should be Year 10 maths
Answers
Given : ABCD is a square with each side 5cm .
To Find : The area of the shaded region .
Solution : On observing the figure we can see two quadrants , quadrant ADC & quadrant ABC .
If we join A to C , then it will be common for triangles ADC & ABC . And they will be congruent by SSS congruence condition.
Therefore the area of both quadrants will also be equal . Now we can find area of quadrant as ;
[tex]\large\boxed{\red{\bf Area_{quadrant}=\dfrac{\pi r^2}{4}}}[/tex]
Here radius will be equal to 5cm .
⇒ Area = πr² / 4 .
⇒ Area = π (5cm)² / 4 .
⇒ Area = 22/7 × 25 × 4 cm².
⇒ Area = 19.64 cm² .
So , total area of both quadrants = 39.28 cm² .
Also , area of square will be :
[tex]\large\boxed{\bf{\red{Area_{square}=(side)^2}}}[/tex]
⇒ Area = 5cm × 5cm .
⇒ Area = 25 cm².
Now , subtract area of one quadrant from the area of square = 25cm² - 19.64 cm² = 5.36 cm².
Similarly area of other white region = 5.36cm² .
And the areas sum will be = 5.36cm² × 2 = 10.72cm² .
Now , from the figure it's clear that ,
⇒ Area of unshaded region + Area of shaded region = 25cm².
⇒ 10.72cm² + ar( Shaded region ) = 25cm².
⇒ ar ( Shaded region ) = 25cm² - 10.72cm².
⇒ ar ( Shaded region ) = 14.28 cm².
Hence the area of shaded region is 14.28 cm².
[tex]\large\boxed{\red{\bf Answer = 14.28cm^2}}[/tex]
The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus
$10 per ticket to the planetarium. The second day they paid $90 for transportation plus $7 per ticket to
the geology museum. Write an expression to represent the total cost in dollars for two days for the
n members of the club.
An expression that represents the total cost in dollars for two days for the n members of the club is given
by
Answers
Answer:
(50+10n)+(90+7n)
Understand How far apart are two parallel lines ℓ and m such that
T〈4, 0〉 (△DEF) = (Rm ∘Rℓ)(△DEF)?
Answers
Answer:
2 units
Step-by-step explanation:
13=b 5=c what is the length of the missing leg
Answers
Answer:
The length of the missing leg is 12
Step-by-step explanation:
Right Triangles
A right triangle is a triangle that has an internal angle of 90°. In right triangles, the Pythagorean relation between its side length stands.
Suppose a and c are the smaller sides, also called 'legs' of the triangle, and b is the bigger side, also known as hypotenuse, then:
[tex]a^2+c^2=b^2[/tex]
We are given the hypotenuse b=13 and one leg c=5. Let's find the missing leg solving the above equation for a:
[tex]a^2=b^2-c^2[/tex]
Substituting:
[tex]a^2=13^2-5^2[/tex]
[tex]a^2=169-25=144[/tex]
Solving:
[tex]a=\sqrt{144}=12[/tex]
The length of the missing leg is 12
Three people are traveling and need to exchange the currency of their native country
for the currency of the country they are visiting. Drag each exchange to the category
that shows the ratio of currencies in that exchange.
CLEAR
U.S. Currency Foreign
(in dollars) Currency
25.00
15.75
U.S. Currency
(in dollars)
73.00
Foreign
Currency
81.03
U.S. Currency
(in fllars)
20.00
Foreign
Currency
22.20
U.S. Currency Foreign
(in dollars) Currency
30.00 21.90
U.S. Currency
in dollars)
50.00
Foreign
Currency
36.50
1 U.S. dollar per 1.11
72 dollar
Australian dollar
tban
Answers
Answer:
Step-by-step explanation:
1. Exchange rate = 1 U.S. dollar per 0.9009 foreign currency
i. U.S. Currency (in dollars) = 73.00
Foreign currency = 81.03
ii. U.S. Currency (in dollars) = 20.00
Foreign currency = 22.20
2. Exchange rate = 1 U.S. dollar per 1.3699 foreign currency
i. U.S. Currency (in dollars) = 30.00
Foreign currency = 21.90
ii. U.S. Currency (in dollars) = 50.00
Foreign currency = 36.50
3. Exchange rate = 1 U.S. dollar per 1.5873 foreign currency
i. U.S. Currency (in dollars) = 25.00
Foreign currency = 15.75
4. Exchange rate = 1 U.S. dollar per 1.11 Australian dollar
i. U.S. Currency (in dollars) = 72.00
Equivalent Australian dollar = 72.00 x 1.11 = 79.92
Answer:
?
Step-by-step explanation:
Can anybody help me please I need help
Answers
Darron has 293 cards. he buys 8 more packages of cards that each have 8 cards in them. How many cards does Darron has now?
Answers
Answer:
357 cards
Step-by-step explanation:
Multiply packs by card in each pack
8 x 8 = 64
add this value to the cards he had previously and you will get your answer
293 + 64 = 357
Answer:
357 cards
Step-by-step explanation:
8(8)+293= ?
64+293= 357
5x + 2 = 3x + 4(2x - 1) solve the following equation for x.
Answers
x=1
combine like terms and simplify
Answer:
-2
Step-by-step explanation:
just had to answer it :)
Convert 139 pounds to kilograms
Round answer to the nearest tenth.
Conversion table:
1 kilogram = 2.205 pounds
Answers
Answer: 63.1
Step-by-step explanation:
A 40 -inch board is to be cut into three pieces so that the second piece is 4 as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.
Answers
Answer:
4*4=16 INCHES FOR THE SECOND PIECE. 5*4=20 INCHES FOR THE LONGEST PIECE.
Step-by-step explanation:
x = 20 inch, the length of the first piece
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
given,
Total length = 40 inch
let first piece be = x inch
second piece = 4 times of first piece = 4x inch
third piece = 5 times of first piece = 5x inch
So,
x + 4x + 5x = 200
10x = 200
x = 200/10
x = 20
Therefore, the length of the first piece is 20 inch
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Tyrone did’t do the dishes what lie would Tyrone use ?
Answers
Answer:
lol how are you gonna lie? the person asking will see the dirty dishes.
Step-by-step explanation:
Answer:
Sorry i didnt really hear what you said i was kind of in a rush.
we ran out of soap
I had a really important assignment that i need to do right away
I had a headache
I threw up
Step-by-step explanation:
Molly has 9 cups of flour. If this is 3/4 of the number she needs to make bread, how many cups does she need?
use a tape diagram by reading it backward, draw a tape diagram and label it unknown.
Answers
Answer:
She needs 12 cups of flour to make bread
Step-by-step explanation:
9 divided by 3 is 3. So you add 3 to 9 and you get 12. So yeah!