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
stepladder [879]
3 years ago
15

Use the sequence to answer the following

Mathematics
1 answer:
ser-zykov [4K]3 years ago
7 0
The common difference is 3.5
The nth term rule for this equation would be 3.5n-1
You might be interested in
Please answer!!!! There is a screen shot attached!
pantera1 [17]
Radical 15 is an irrational number
7 0
3 years ago
Find the surface area
zalisa [80]

Answer:

72

Step-by-step explanation:

15 + 15 + 12 + 12 + 18 gives you 72 you add all the areas

6 0
3 years ago
Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview
svetlana [45]

Answer:  The required solution is

y=(-2+t)e^{-5t}.

Step-by-step explanation:   We are given to solve the following differential equation :

y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)

Let us consider that

y=e^{mt} be an auxiliary solution of equation (i).

Then, we have

y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.

Substituting these values in equation (i), we get

m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.

So, the general solution of the given equation is

y(t)=(A+Bt)e^{-5t}.

Differentiating with respect to t, we get

y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.

According to the given conditions, we have

y(0)=-2\\\\\Rightarrow A=-2

and

y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.

Thus, the required solution is

y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.

6 0
3 years ago
If two rays share an endpoint,then they are opposite rays
Readme [11.4K]
When their endpoint angle measure up to 180 then they can be called opposite rays
4 0
1 year ago
Sergio passes by a bike store on Monday and sees his dream bike in the window. It cost 120 . He passes by on Wednesday and is th
insens350 [35]

Answer:

90

Step-by-step explanation:

120 - (120/4)

120 - 30 = 90

3 0
3 years ago
Other questions:
  • 1.In a right triangle, <A and <B are acute. Find the value of csc A, when tan A = 8/15.
    5·2 answers
  • Jennifer is 4 years older than Harvey. Harvey is twice as old as Gwen. If Gwen is g years old, which expression represents Jenni
    8·1 answer
  • There is 6/8 of a cake leftover after a birthday party how many 1/4 pieces can be made from the leftover cake
    11·2 answers
  • The answer sgdgg fjdkfkskdj k kxididicjjvi j isfic
    8·2 answers
  • What is the quotient of 5.67 x 10^7 and 2.7 x 10^4 expressed in scientific notar
    6·1 answer
  • BRAINLIEST for CORRECT answer please help
    14·2 answers
  • OTHER QUESTION RAN OUT OF TIME
    13·1 answer
  • Which expressions are equivalent to the one below? Check all that apply.
    7·1 answer
  • MARKING BRAINLIEST!!!!
    8·2 answers
  • Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!