1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
s2008m [1.1K]
3 years ago
15

Which of the series below converge? 1 + 9 + 81 + 729 + … 1 + 0.25 + 0.0625 + 0.015625 + … 625 – 125 + 25 – 5 + … 8 – 16 + 32 – 6

4 + …
Mathematics
1 answer:
Vanyuwa [196]3 years ago
6 0

Answer:

B, C, E

Step-by-step explanation:

Got it right on edge

You might be interested in
The boundary of the lawn in front of a building is represented by the parabola . The parabola is represented on the coordinate p
Colt1911 [192]
The boundary of the lawn in front of a building is represented by the parabola

y = (x^2) /16 + x - 2

And you have three questions which require to find the focus, the vertex and the directrix of the parabola.

Note that it is a regular parabola (its symmetry axis is paralell to the y-axis).

1) Focus:

It is a point on the symmetry axis => x = the x-component of the vertex) at a distance equal to the distance between the directrix and the vertex).

In a regular parabola, the y - coordinate of the focus is p units from the y-coordinate of the focus, and p is equal to 1/(4a), where a is the coefficient that appears in this form of the parabola's equation: y = a(x - h)^2 + k (this is called the vertex form)

Then we will rearrange the standard form, (x^2)/16 + x - 2 fo find the vertex form y = a(x-h)^2 + k

What we need is to complete a square. You can follow these steps.

1) Extract common factor 1/16 => (1/16) [ (x^2) + 16x - 32]

2) Add (and subtract) the square of the half value of the coefficent ot the term on x =>

16/2 = 8 => add and subtract 8^2 => (1/16) [ (x^2) + 16 x + 8^2 - 32 - 8^2]

3) The three first terms inside the square brackets are a perfect square trinomial: =>

(1/16) [ (x+8)^2 - 32 - 64] = (1/16) [ (x+8)^2  - 96] =>

(1/16) [(x+8)^2 ] - 96/16 =>

(1/16) (x +8)^2 -  6

Which is now in the form a(x - h)^2 + k,
where:

a = 1/16 , h = - 8, and k = -6

(h,k) is the vertex: h is the x-coordinate of the vertex, and k is the y-coordinate of the vertex.

=> a = 1/16 => p =1/4a = 16/4 = 4
 
y-componente of the focus = -6 + 4 = -2

x-component of the focus = h = - 8

=> focus = (-8, -2)

2) Vertex

We found it above, vertex = (h,k) = (-8,-6)


3) Directrix

It is the line y = p units below the vertex = > y = -6 - 4 = -10

y = -10   

 


4 0
3 years ago
PLEASE HELP...PLEASEEEEEEEEEEE
Nata [24]

Answer:

This is not a good model because the residual plot becomes thicker at the end

6 0
2 years ago
If the technician charged $327.50, then the technician worked ___<br>hours.​
Anika [276]
How much was he paid per hour
8 0
2 years ago
Read 2 more answers
Which expression is equivalent to 4y – 1
uysha [10]
Y-.25 is your answer.
4 0
3 years ago
Someone help me please
kherson [118]

Answer:

I will just choosé the second one

Because it is possible to compare sizes In one triangle rather than comparing with another one which we don't reàlly know of its sizes.

4 0
2 years ago
Other questions:
  •                                              .....................................
    11·1 answer
  • 3.2249030993 round to the nearest hundreth
    13·2 answers
  • Find the area of the triangle that has a base of 16 yd and a height of 9 yd.
    9·1 answer
  • Seven more than the quotient of a number and 2 is 10?
    5·1 answer
  • 18 to 29=10%
    12·1 answer
  • Hi guys pleas help me ;((
    15·1 answer
  • 5) 5n2 + 10n + 20<br><br>how do you solve this? ​
    13·2 answers
  • help pls Peter bought 9 tickets to a basketball game. He paid a total of $72. Choose the equation that determines whether each t
    6·1 answer
  • What is the answer to the question?<br><br> T/34.56=15
    10·1 answer
  • PLEASE HELP DUE IN 1 HOUR, AND PLEASE DON'T PUT THOSE LINKS OR ELSE I WILL REPORT YOU.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!