Answer:
Its Actually C, just took the quiz right now
Step-by-step explanation:
The sequence Three-halves, four-thirds, five-fourths, six-fifths, ellipsis, is a converging sequence, that converges to 1.
Hence, the 3rd option: "The sequence converges to 1.", is the best choice.
What does converging and diverging mean?Converging signifies a movement toward something. Diverging denotes moving away from something.
How to solve the question?In the question, we are given a sequence: Three-halves, four-thirds, five-fourths, six-fifths, ellipsis.
This can be shown as 3/2, 4/3, 5/4, ...
The general term of this series is (n + 2)/(n + 1).
As it is going on continuously to infinite,
The term can be shown as:
[tex]lim_{n\rightarrow \infty }\frac{n + 2}{n + 1} \\= lim_{n\rightarrow \infty }1 + \frac{1}{n+1} \\=lim_{n\rightarrow \infty }1 + lim_{n\rightarrow \infty }\frac{1}{n+1} \\= 1 + 0 \\= 1[/tex]
Thus, we can see that the sequence, gradually moves to a point. Thus it is converging in nature.
Also, the point it converges is 1.
Hence, 3rd option is the best choice.
Learn more about converging and diverging sequences at
https://brainly.com/question/21654304
#SPJ2
14k²+49k+21 factorise
Answer:
(2k+1)(k+3)
Step-by-step explanation:
14k²+49k+21
simplify by dividing the whole equation by 7
2k²+7k+3
factorise
(2k+1)(k+3)
If AABC~ADEF, what is the scale factor of AABC to ADEF?
Given:
[tex]\Delta ABC\sim \Delta D E F[/tex]
[tex]AB=18,BC=21,AC=24,EF=7[/tex]
To find:
The scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex].
Solution:
We have,
[tex]\Delta ABC\sim \Delta D EF[/tex]
So, side BC is the corresponding side of EF.
Now, scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is
[tex]\text{Scale factor}=\dfrac{\text{ Side of }\Delta D EF}{\text{Corresponding side of }\Delta ABC}[/tex]
[tex]\text{Scale factor}=\dfrac{EF}{BC}[/tex]
[tex]\text{Scale factor}=\dfrac{7}{21}[/tex]
[tex]\text{Scale factor}=\dfrac{1}{3}[/tex]
Therefore, the scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is [tex]\dfrac{1}{3}[/tex].
How do I solve this
Answer:
Step-by-step explanation:
I'm sorry forgot how to exactly solve it
What is the value of x?
Which of the following is an arithmetic sequence?
A ){1,3,6,10,15,…}
B) {−6,1,8,15,22,…}
C) {64,32,16,8,4,…}
D) {1,2,4,8,16,…}
need help asap please!!
Answer:
EF = 7
Step-by-step explanation:
the two triangles shown are congruent triangles
we know this because they share the line FD
and DE and DG are both 5
so the length two sides are definitely congruent, this means that the third side will also be congruent
the third side would be FG and EF
FG is 7 so then EF is 7
Answer:
EF is 7
Step-by-step explanation:
Key skills needed: Triangle Congruence
1) We need to find out The length of EF
2) To find this, let's use Congruence of Two Triangles
The triangles that we can prove congruent are Δ DFG and Δ DFE
3) Both share the side DF, so we have one side
Both have a right angle, < FDG is a right angle, and < FDE would also be right angle (you can prove this as ---> < FDE is supplementary to a right angle, and therefore it would also be a right angle)
Both share a congruent set of sides (GD and DE both are 5)
4) With the 3 things above we can say --> Δ DFG ≅ Δ DFE with SAS (side-angle-side)
5) This means that corresponding parts would be congruent.
FG ≅ EF. This means EF would be the same length as FG. Since FG is 7, then EF would be 7.
Hope you understood and have a nice day!! :D
The figure below shows a triangle with one of its angle bisected. Find x.
What is 1+1-1+1-1-1+1 i need to know
Hello guys, my questions keep on being taken down so this is just a tester question,
Answer:
1
Step-by-step explanation:
what is 14x three over seven
Answer:
6
Step-by-step explanation:
Noel rides his bike in 270 minutes. What is the average speed in mph
PLZZ HELP ASAP
Answer:
how is that college math
Step-by-step explanation:
Convert the decimal below to a fraction in simplest form.
0.386
And show work
Answer:193/500
Step-by-step explanation:
Question 3: If you're expected to pay a 20% down payment on a $300,000 house, how much money are you paying upfront?
Answer:
I'm pretty sure the answer is 250,000 dollars.
Step-by-step explanation:
I' sorry if it isn't right I tried my best.
HELPPPP PLEASEE. IT IS DUE IN 20 MIN. THANK YOU SO MUCH! :)
Answer:
A.) 65x + 35X + 50 = 250
65x = cost of concrete per cubic yard, x is yd³
35X = cost of pouring/finishing concrete per cubic yard, X is yd³
50 = delivery cost
250 = the money you have
B.) 400 + 15n = 505
15n = amount of money you deposite per week, n is # of week
400 = some money in account after n week passed
505 = initial money in bank
C.) 1.1X - 10 = 55
55 = total cost of clothes
1.1X = tax rate where X is the undiscounted clothe cost
10 = discount
Find the slope of the line through each pair of point
11. (-4, -3) and (7, 1)
12. (-2, -1) and (8, -3)
Answer:
11) 4/11
12) -0.2
Step-by-step explanation:
A principal of $4200 is invested at 9% Interest, compounded annually. How much will the investment worth after 6 years? Use the calculator provided and round your answer to the nearest dollar
can u pls help me with this question asap
A 7 footlong board is propped against wall of a house. The board forms a 60 degree angle with ground. How far is the bar of board from the wall
Answer:
3.5 foot
Step-by-step explanation:
To find the distance from the wall, you will need to use cosine:
cos 60 = x / 7
x = 3.5 foot
Mary drove from her home to the library. After she left the library, she drove to the park. After that, she drove home. The map shows the path she took.
What is the distance between (4, 3) and (9, 15) on the coordinate plane? Select two that apply.
How far did Mary drive?
a 10 miles
b 14 miles
c 24 miles
d 28 miles
Answer:
c
Step-by-step explanation:
I I don't even know why it seems I just chose that because
The distance between (4, 3) and (9, 15) on the coordinate plane is 13 units.
What is the distance between two points?The distance between two points is defined as the length of the line segment between two places representing their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.
The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁)².
We have to determine the distance between (4, 3) and (9, 15) on the coordinate plane.
As per the question, the required distance would be as:
distance = √ (9 – 4)² + (15 – 3)²
distance = √ (5)² + (12)²
distance = √ (25 + 144)
distance = √ 169
distance = 13 units
Learn more about the distance between two points here:
brainly.com/question/15958176
#SPJ6
ian invested $100 in an account paying an interest rate of 9 1/4% compound daily. Addison invested $100 in an account paying an interest rate of 9 3/8% compounded monthly. After 13 years, how much money would addison have in her account than Ian, to the nearest dollar?
Answer:
$5.67, or $6 rounded to the nearest dollar.
Step-by-step explanation:
To determine the amount that both Ian and Addison will have in their respective accounts after 13 years, knowing that they both invested $ 100 in accounts with daily compound interest, but Ian did it in one with an interest of 9.25% while Addison did it in one with a interest of 9.375%, the following calculations must be made:
Ian = 100 x (1 + 0.00925 / 365) ^ 13x365
Ian = 332.79
Addison = 100 x (1 + 0.009375 / 365) ^ 13x365
Addison = 338.46
338.46 - 332.79 = 5.67
Therefore, Addison will have $ 5.67 more than Ian after the investment term.
PLEASE ANSWER ASAP WITH WORK FOR BRAINLEST!!!!!!!!!!!!!!!!!
x is greater than -5
if m ∟n, solve for x. (x + 21) (3x + 9) giving brainliest
Answer:
x=15
Step-by-step explanation:
Add the two equations together because there is a 90 degree angle. You can add the two to get :
4x+30=90
-30 from both sides
4x=60
Divide by 4 on both sides to get your answer!
x=15
Answer: X = 15
I think you can give brainiest to the person above me now
I know it's really late but :)
When using the substitution method to solve the system of equations,
what is the result of the first step?
y = 2x + 4
2x + 3y = 8
Answer:
B
Step-by-step explanation:
This is due to the fact that the first equation is saying it is equal to y so you replace the y variable with the equation
Answer:
since y=2x+4 just substitute y with 2x+4
2x + 3(2x+4) = 8
so the answer is B
Do this worksheets if someone do I will make him or her brainly if correct.
Answer:
[tex]1) \frac{37.5}{100} [/tex]
[tex]2) \frac{9}{40} \times 100 = 22.5 \% [/tex]
[tex]3) \frac{7}{10} \times 100 = 70\%[/tex]
[tex]4) \frac{7}{8} \times 100 = 87.5\%[/tex]
[tex]5) \frac{12}{25} \times 100 = 48\%[/tex]
I miiiiighhhhtttt need more helpppp
Walden’s family is shopping for a reclining chair. The chair the family decided on has a retail price of $800 plus 5% sales tax at four stores. Each store is offering a different promotion.
Store
Promotional Offer
A
$75 instant rebate
B
10% off sale
C
5% off sale plus store pays sales tax
D
a “no tax” sale—the store pays the tax
Which store has the best deal?
Answer:
c
Step-by-step explanation:
someone else said c and i got it right
Which angle is congruent to
Answer:
ps is congruent to qr if that's what your asking
Simplify: 5!
A. 5
B. 20
C. 120
D. 240
Answer:
it would be 5
Step-by-step explanation:
I don't have an explanation I just know it is 5
What percentage of the students in the survey have a car? A. 22% B. 38% C. 40% D. 60% E. 61
Answer:
D) I hope this helps you out :)
A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with each of
the following amounts?
1 lb
3/4 lb
1/4 lb
Answer:
1 lb=2 batches 3/4 lb=1 1/2 batches 1/4 lb= 1/2 a batche
Step-by-step explanation:
1x2=2 b
3/4x2=1 1/2 b
1/4x2=1/2 b
b=batches
Algebra 2 Please Help