Answer:
a. i. We cannot say anything about aₙ
ii. we do not know if the terms of aₙ are increasing or decreasing
b. i. aₙ converges by the Comparison Test.
ii. aₙ also converges since bₙ.
Step-by-step explanation:
(a)
i) If aₙ > bₙ for all n, what can you say about aₙ ? Why?
We cannot say anything about an.
ii) Why?
This is because since ∑bₙ converges, ∑aₙ > ∑bₙ, we do not know if the terms of aₙ are increasing or decreasing, so we have no information about it.
(b) If aₙ < bₙ for all n, what can you say about aₙ ? Why?
i) aₙ converges by the Comparison Test.
ii) Why?
This is because since ∑bₙ converges, and ∑aₙ < ∑bₙ, we know that the terms of aₙ are also decreasing and, by the comparison test, aₙ also converges since bₙ.
1) (x+y)² =
A. x²+2xy+y²
B. x²-2xy+y²
C.x²-2xy-y²
Answer:
a. x^2+2xy+y^2
Step-by-step explanation:
I hope this helps
Divide 14 4/10 by 5 9/16
Please help! I will mark you brainiest!!!!
Answer: x = 3
isolate x by adding 4 to each side
2x = 6
Divide by 2 to get x
x = 3
If the product of two integers is zero, then which of the following MUST be true?
A) Both of the Integers are zero
B) At least one of the integers is zero
C) The sum of the two integers is zero
D) The difference of the two integers is zero
Answer:
B
Step-by-step explanation:
Anything times zero is zero, so any whole number can be the second one so long as the first is 0.
The sum doesnt have to equal zero because non zero numbers multiplied by zero still equal zero.
If the legs of a right triangle measure 10 meters and
24 meters, how long is the hypotenuse?
Answer:
26 meters
Step-by-step explanation:
5/9a+4/9a+5/9 Simplified
Answer:
Step-by-step explanation:
9a+5
____
9
hope this helps
I need help ASAP. I will give brainliest
Answer:
the answer is 7
Step-by-step explanation:
the answer is 7 no doubt about that moth
whats the area of the triangle
Please its already overdue
Answer:
[tex]Area = 15in^2[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Determine the area
The attached shape is a triangle and the solution is:
[tex]Area = 0.5 * Base * Height[/tex]
So, we have:
[tex]Area = 0.5 * 10in * 3in[/tex]
[tex]Area = 15in^2[/tex]
What is the hypotenuse of a triangle with legs that are both 4 inches?
By applying Pythagorean's theorem, the hypotenuse of this triangle is equal to: D. √32 inches..
Given the following data:
Adjacent side = 4 inches
Opposite side = 4 inches.
How to calculate the hypotenuse of a triangle?In order to calculate the hypotenuse of this triangle, we would apply Pythagorean theorem.
Mathematically, Pythagorean's theorem is given by this formula:
c² = a² + b²
Where:
c is the hypotenuse.a is the adjacent side.b is the opposite side.Substituting the given parameters into the formula, we have;
c² = 4² + 4²
c² = 16 + 16
c² = 32
c = √32 inches.
Read more on Pythagorean theorem here: https://brainly.com/question/16176867
#SPJ2
14x2 –y2 +3x2 –y+2y2
Answer:
120
Step-by-step explanation:
What relationship do you think is shown in the graph below ?
Answer:
Un helado
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
As the temperature goes up, the sales for ice cream go up, so it is a linear relation.
If you find it is helpful plz give Brainliest.
The owner of a food truck finds a new supplier where she can purchase her supplies at a lower price. If nothing else changes, how will this affect her business? Select all that apply.
A: The unit cost of each ingredient increases.
B: The cost per sandwich decreases.
C: The profit per sandwich increases.
D: The selling price per sandwich decreases.
Answer:
B C D
Step-by-step explanation:
uhhhhhhhhhhhhhhhhhhhh I think B and D are the same thing but okayyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy.
1
17
3
7
8
9
2
9
10
11
12
City Y is 10 miles north of city X.
City Z is 24 miles east of city X
How long is the straight rode
connecting cities Y and Z?
3
73
14
15
4
16
18
AN
5
19
21
6
23
Answer:
Distance between cities Y and Z = 26 miles
Step-by-step explanation:
From the picture attached,
Length of XY = 10 mi
Length of XZ = 24 mi
By applying Pythagoras theorem in the given right triangle XYZ,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
YZ² = XY² + XZ²
= 10² + 24²
= 100 + 576
= 676
YZ = √676
= 26 mi
Therefore, distance between cities Y and Z is 26 mi.
giving brainliest !! *easy*
Answer: 49
Step-by-step explanation:
The missing constant term in the perfect square is 49.
x^2 + 14x + 49
We need a squart root of something to make the factor add up equal to 14x. If it's a perfect square, we could divide 14 by 2, 14/2 = 7, and we multiply 7^2, we get 49, which is a perfect square.
Solve the simultaneous equations 3x²+ 2x = y²- y + 50, 2x = y +5.
Answer:
(x,y) = (4,3), (20,35)
Step-by-step explanation:
3x²+ 2x = y²- y + 50
2x = y +5
y=2x-5, sub into 3x²+ 2x = y²- y + 50
[tex]3x^2+2x=(2x-5)^2-(2x-5)+50\\3x^2+2x=4x^2-20x+25-2x+5+50\\0=x^2-24x+80\\x=20 ,4\\[/tex]
sub into y=2x-5
y= 35, 3
Here are the costs of the sametypes is shops shop a pack 4 batteries £1.60 shop b pack of 6 batteries £2.70
Answer:
Shop a
Step-by-step explanation:
1.60/4=£0.4 per battery
2.7/6= £0.45 per battery
Hence the batteries at shop a are cheaper
Enter the appropriate value to answer the question or solve the problem.
M-1/4=3/4 need to find m plz help
Answer:
M=1
Step-by-step explanation:
m-1/4=3/4 add 1/4 to both sides and you get m=1
Answer:
M = 1
Step-by-step explanation:
M-1/4=3/4
add 1/4 to both sides of the equation:
M - 1/4 + 1/4 = 3/4 + 1/4
simplify:
M = 1
The diameters of bolts produced in a machine shop are normally distributed with a mean of 6.4 millimeters and a standard deviation of 0.06 millimeters. Find the two diameters that separate the top 5% and the bottom 5%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
Answer:
The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.
Step-by-step explanation:
We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.
Let us find the sample score that corresponds to z-score of bottom 4%.
From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.
Upon substituting these values in z-score formula we will get our sample scores (x) as:
Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.
Now let us find sample score corresponding to z-score of 1.75 as upper limit.
Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected
Answer:
6.30 millimeters and 6.50 millimeters.
What is the cost of buying 10 tickets if 4 tickets cost 122 dollars?
Answer:
$305
Step-by-step explanation:
4 tickets = $122 <-- divide by 4
1 ticket = $30.5 <-- multiply by 10
10 tickets = $305
Answer:
305
Step-by-step explanation:
122 +122=244
122 divided by 2=61
244+61=305
Alonzo, Alice and Juan again all got different answers when they solve another problem. This time, they were solving:
( − 48 ) ÷ ( − 6 )
Alonzo believes the answer is 8.
Alice believes the answer is -8.
Juan believes the answer is -1/8
Do you agree with any of their answers?
What is the measure of Zx ?
60°
75
20°
Answer:
135°
Step-by-step explanation:
angle x spans throughout two angles, 75° and 60°, so it is the sum of the two. It could not be any of the answers you gave.
the number of days, d, that it will take to run a marketing campaign is given by d = 192/n where n is the number of people needed each day. alex’s company will take 32 days to run the campaign. shay’s company will take 24 days to run the campaign. shays company will have to use more people each day than alex’s company. how many more?
Answer:
2 more people each day.
Step-by-step explanation:
We are given the following relation:
[tex]d = \frac{192}{n}[/tex]
In which d is the number of days that will take to run a marketing campaign with n people.
Alex’s company will take 32 days to run the campaign.
So the number of people in his campaign is given by:
[tex]32 = \frac{192}{n}[/tex]
[tex]32n = 192[/tex]
[tex]n = \frac{192}{32}[/tex]
[tex]n = 6[/tex]
Shay’s company will take 24 days to run the campaign.
So the number of people in her campaign is given by:
[tex]24 = \frac{192}{n}[/tex]
[tex]24n = 192[/tex]
[tex]n = \frac{192}{24}[/tex]
[tex]n = 8[/tex]
Shays company will have to use more people each day than alex’s company. how many more?
8 - 6 = 2
0.2) Sharad bought one quintal of onions for Rs 2000. Later he
sold them all at the rate of Rs 18 per kg. Did he make a profit
or incur a loss? How much was it?
Answer: Loss, 200 Rs
Step-by-step explanation:
Given
Sharad bought a quintal of onion i.e. [tex]1000\ kg[/tex] for [tex]Rs.\ 2000[/tex]
So, the cost price of onion is
[tex]\Rightarrow \dfrac{2000}{100}=20\ \text{Rs per kg}[/tex]
He sells it at [tex]18\ \text{Rs. per kg}[/tex]
Here, the Selling price is less than the cost price
So, he incurs a loss of [tex]2\ \text{Rs per kg}[/tex]
For a quintal it is
[tex]\Rightarrow 2\times 100=200\ \text{Rs}[/tex]
[tex]\Rightarrow \text{Loss }\ \%=\dfrac{C.P.-S.P.}{C.P.}\times 100\\\\\Rightarrow \text{Loss }\ \%=\dfrac{20-18}{20}\times 100=10\%[/tex]
Which of the following is NOT an irrational number?
Answer:
I'm gonna go with the first choice because it's rational.
Step-by-step explanation:
Answer:
pi is the answer
Step-by-step explanation:
x+2/3=6 what is x .................
Answer:
x=16/3
x=5 1/3
x=5,3333333.....
Step-by-step explanation:
x+2/3= 6
x= 6-2/3
x=16/3
x= 5 1/3
x=5,33333333333......
I hope this will help you
please help!!!!!!!!!!!!!!
Answer:
1/10
Step-by-step explanation:
I'm not good with explaining but I'm rlly good at math and all that I did was divide 1/2 by 5
Answer:
1/10
Step-by-step explanation:
1/2 divided by 5 is equal to 1/10.
(4, -3) reflected over the x-axis
Answer:
(4, -3) reflected over the X axis is (4,3)
Step-by-step explanation:
Sophie earns $12.80 per hour babysitting. She has to repay a loan to her parents in the
amount of $100. After repaying the loan, she wants to have at least enough money to buy
herself a pair of sneakers costing $130.40. Write an inequality modeling the number of hours,
X, Sophie needs to work to have enough money to buy the sneakers.
Answer:
Sophie has to work 18 hours to buy the sneakers.
Step-by-step explanation:
Since Sophie earns $ 12.80 per hour babysitting, and she has to repay a loan to her parents in the amount of $ 100, and after repaying the loan, she wants to have at least enough money to buy herself a pair of sneakers costing $ 130.40, for write an inequality modeling the number of hours, X, Sophie needs to work to have enough money to buy the sneakers, the following mathematical reasoning must be carried out:
12.80X = 100 + 130.40
12.80X = 230.4
X = 230.4 / 12.8
X = 18
So Sophie has to work 18 hours to buy the sneakers.
Find the value of x.
Answer:
107
Step-by-step explanation:
x=180-73
x=107
hope it helps
pls help i beg Gimme the radius circumference and area
Answer:
Radius = 5.75
Circumference = 36.13
Step-by-step explanation:
Here we have the diameter, and the radius is half of the so 5.75. For the circumference, we can use the formula C=2πr