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
frosja888 [35]
2 years ago
5

Here is a photo of the question it self. I hope it makes it easier to understand

Mathematics
1 answer:
iren [92.7K]2 years ago
3 0

Answer:

a. R>S

b. It means that R is to the right of S

c. City R is warmer

Step-by-step explanation:

You might be interested in
Determine whether the sequences converge.
Alik [6]
a_n=\sqrt{\dfrac{(2n-1)!}{(2n+1)!}}

Notice that

\dfrac{(2n-1)!}{(2n+1)!}=\dfrac{(2n-1)!}{(2n+1)(2n)(2n-1)!}=\dfrac1{2n(2n+1)}

So as n\to\infty you have a_n\to0. Clearly a_n must converge.

The second sequence requires a bit more work.

\begin{cases}a_1=\sqrt2\\a_n=\sqrt{2a_{n-1}}&\text{for }n\ge2\end{cases}

The monotone convergence theorem will help here; if we can show that the sequence is monotonic and bounded, then a_n will converge.

Monotonicity is often easier to establish IMO. You can do so by induction. When n=2, you have

a_2=\sqrt{2a_1}=\sqrt{2\sqrt2}=2^{3/4}>2^{1/2}=a_1

Assume a_k\ge a_{k-1}, i.e. that a_k=\sqrt{2a_{k-1}}\ge a_{k-1}. Then for n=k+1, you have

a_{k+1}=\sqrt{2a_k}=\sqrt{2\sqrt{2a_{k-1}}\ge\sqrt{2a_{k-1}}=a_k

which suggests that for all n, you have a_n\ge a_{n-1}, so the sequence is increasing monotonically.

Next, based on the fact that both a_1=\sqrt2=2^{1/2} and a_2=2^{3/4}, a reasonable guess for an upper bound may be 2. Let's convince ourselves that this is the case first by example, then by proof.

We have

a_3=\sqrt{2\times2^{3/4}}=\sqrt{2^{7/4}}=2^{7/8}
a_4=\sqrt{2\times2^{7/8}}=\sqrt{2^{15/8}}=2^{15/16}

and so on. We're getting an inkling that the explicit closed form for the sequence may be a_n=2^{(2^n-1)/2^n}, but that's not what's asked for here. At any rate, it appears reasonable that the exponent will steadily approach 1. Let's prove this.

Clearly, a_1=2^{1/2}. Let's assume this is the case for n=k, i.e. that a_k. Now for n=k+1, we have

a_{k+1}=\sqrt{2a_k}

and so by induction, it follows that a_n for all n\ge1.

Therefore the second sequence must also converge (to 2).
4 0
3 years ago
cody spent $144 on shirts. fancy shirts cost $23 and plain shirts cost $13. if he bought a total of 8 then how many of each kind
timurjin [86]
Sjsjsjwjswjjwjwjw snsnwwnw
4 0
2 years ago
Read 2 more answers
Using the Angle Bjsector theorem solve for x. Pleade show how you got your answer!
ladessa [460]
The segments above the bisector are proportional to the corresponding segments below.

(4x +1)/5 = 15/3
4x +1 = 25
x = (25 -1)/4 = 6

The value of x is 6.
7 0
3 years ago
A manufacturer determines that the cost of making a computer component is ​$4.191919. Write the repeating decimal cost as a frac
tankabanditka [31]

Let x=4.191919\ldots. Then 100x=419.191919\ldots. So

100x-x=99x=415

\implies x=\dfrac{415}{99}=4+\dfrac{19}{99}

3 0
3 years ago
Find zeroes and multiplicity for y=(2x +3)(x -1)^2
muminat

Answer:

zeros : -3/2 , multiplicity = 1

1 , multiplicity = 2

Step-by-step explanation:

y=(2x +3)(x -1)^2

To find zeros we set each factor =0  and solve for x

2x+3 =0

subtract 3 on both sides

2x= -3

divide by 2 on both sides

x= -3/2

The exponent of (2x+3) is 1 so multiplicity =1

Now we set (x-1)^2 =0

take square root on both sides

x-1 =0

add 1 on both sides

x=1

For (x-1)^2  the exponent is 2

So multiplicity = 2


7 0
3 years ago
Other questions:
  • A high school basketball team has a budget specifically for towels and extra basketballs. A towel costs $4 and a basketball cost
    9·2 answers
  • jeromes rain gauge showed 13 9/10 centimeters at the end of last month. at the end of this month, the rain gauge showed 15 3/10
    9·1 answer
  • In a study conducted to examine the quality of fish after 7 days in ice​ storage, ten raw fish of the same kind and approximatel
    8·1 answer
  • Please answer as soon as possible, whoever is first gets the brainliest
    8·1 answer
  • What is the area of the room. Bed room #2 <br> 11-10 x10-10
    5·1 answer
  • Hellllpme!!!!! ASAP!
    10·2 answers
  • What is the volume of the square pyramid with<br> base edges 16 m and height 24 m?
    12·1 answer
  • ASAP
    15·1 answer
  • Help me pleaseeeeee help help
    15·1 answer
  • How many solutions exist for the given equation?<br> 3(x - 2) = 22 -x
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!