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
brilliants [131]
2 years ago
11

The box plots record data on annual

Mathematics
1 answer:
ElenaW [278]2 years ago
8 0

Answer:

Honestly I can't figure it out myself, but I really want to help you.

Step-by-step explanation:

So I don't know how to write a step-by-step explanation

You might be interested in
I need help with this!
ruslelena [56]
|12| ÷ 2 • |-5|
= 12 ÷ 2 • 5
= 6 • 5
= 30
Absolute values just make the number positive if it is negative. The number stays positive if it’s positive.
7 0
3 years ago
Find two power series solutions of the given differential equation about the ordinary point x = 0. compare the series solutions
monitta
I don't know what method is referred to in "section 4.3", but I'll suppose it's reduction of order and use that to find the exact solution. Take z=y', so that z'=y'' and we're left with the ODE linear in z:

y''-y'=0\implies z'-z=0\implies z=C_1e^x\implies y=C_1e^x+C_2

Now suppose y has a power series expansion

y=\displaystyle\sum_{n\ge0}a_nx^n
\implies y'=\displaystyle\sum_{n\ge1}na_nx^{n-1}
\implies y''=\displaystyle\sum_{n\ge2}n(n-1)a_nx^{n-2}

Then the ODE can be written as

\displaystyle\sum_{n\ge2}n(n-1)a_nx^{n-2}-\sum_{n\ge1}na_nx^{n-1}=0

\displaystyle\sum_{n\ge2}n(n-1)a_nx^{n-2}-\sum_{n\ge2}(n-1)a_{n-1}x^{n-2}=0

\displaystyle\sum_{n\ge2}\bigg[n(n-1)a_n-(n-1)a_{n-1}\bigg]x^{n-2}=0

All the coefficients of the series vanish, and setting x=0 in the power series forms for y and y' tell us that y(0)=a_0 and y'(0)=a_1, so we get the recurrence

\begin{cases}a_0=a_0\\\\a_1=a_1\\\\a_n=\dfrac{a_{n-1}}n&\text{for }n\ge2\end{cases}

We can solve explicitly for a_n quite easily:

a_n=\dfrac{a_{n-1}}n\implies a_{n-1}=\dfrac{a_{n-2}}{n-1}\implies a_n=\dfrac{a_{n-2}}{n(n-1)}

and so on. Continuing in this way we end up with

a_n=\dfrac{a_1}{n!}

so that the solution to the ODE is

y(x)=\displaystyle\sum_{n\ge0}\dfrac{a_1}{n!}x^n=a_1+a_1x+\dfrac{a_1}2x^2+\cdots=a_1e^x

We also require the solution to satisfy y(0)=a_0, which we can do easily by adding and subtracting a constant as needed:

y(x)=a_0-a_1+a_1+\displaystyle\sum_{n\ge1}\dfrac{a_1}{n!}x^n=\underbrace{a_0-a_1}_{C_2}+\underbrace{a_1}_{C_1}\displaystyle\sum_{n\ge0}\frac{x^n}{n!}
4 0
3 years ago
In which sentence do the capitalized words represent a prepositional phrase?
larisa [96]
D. , a prepositional phrase indicates relationships b/w subjects and verbs. The A-C answers are all just grammatical variations of actions. Also, if you want a quicker answer next time, try posting in the right section (this one would be English or Language). :)
5 0
3 years ago
1.75 grams x 1000 milligrams/ 1 g
Paul [167]
Convert the milligrams into grams

1,000 milligrams = 1 gram

so 1.75 grams X 1 gram/1 gram = 1.75 X 1 = 1.75 grams

hope that helps :)
7 0
3 years ago
1 1/2 product is sold for every 1/60 of an hour at what unit rate are the products sold?
salantis [7]
I believe the answer is 1 1/2 / minute
3 0
3 years ago
Read 2 more answers
Other questions:
  • How do I find the ratio?
    11·1 answer
  • The histogram displays the number of 2015 births among U.S. Women ages 10 to 50 . Each bin represents an interval of two years,
    15·1 answer
  • What properties does a square have in common with a quadrilateral?
    7·1 answer
  • 50 Pts
    8·2 answers
  • Solve this problem.
    12·1 answer
  • The Peppered Moth has shown a shift from a light color to a dark color. If this is an example of directional selection, what wil
    10·1 answer
  • Find the measure of each interior angle of the regular polygon.
    15·1 answer
  • Maria realiza una encuesta sobre las edades de los postulantes a una universidad y con los datos obtenidos elabora una tabla de
    15·1 answer
  • I need to find the answer for "n" -(n - 8) = -2
    15·1 answer
  • (Bro I'm so confused) In the diagram, PQRS is a square. Points T, U, V, and W are on sides PQ, QR, RS, and ST, respectively, for
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!