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
Viktor [21]
3 years ago
15

Consider the first four terms of an arithmetic sequence below.

Mathematics
1 answer:
VMariaS [17]3 years ago
6 0
7, 13, 19 and 25 have a common difference:  6.  
6 added to 7 gives us 13; 6 added to 13 gives us 19, and so on.

Explicit formula:  a(n) = 7 + 6(n-1), where 7 is the first term and n is the counter (1, 2, 3, ...).

The first term is 7 (given).  This corresponds to n=1.

The second term is a(2) = 7 + 6(2-1), or 7 + 6, or 13.  This corresponds to n = 2.

and so on.


You might be interested in
The data set represents the ages of students, in years, attending a robotics club meeting. What is the median age of the student
svetoff [14.1K]

Answer:

12.5

Step-by-step explanation:

put them in order from least to greatest: 11, 11, 12, 12, 12, 13, 13, 14, 15, 16

the middle is 12 and 13 so you do 12+13 then divide by 2

to get 12.5

hope this helps

6 0
2 years ago
Monthly sales of an SUV model are expected to increase at the rate of S′1t2 = -24t 1>3 SUVs per month, where t is time in mon
uysha [10]

The company will continue to manufacture this model for 19 months.

The question is ill-formatted. The understandable format is given below.

An SUV model's monthly sales are anticipated to rise at a rate of

S'(t)=-24^{1/3} SUVs each month, where "t" denotes the number of months and "S(t)" denotes the monthly sales of SUVs. When monthly sales of 300 SUVs are reached, the business intends to discontinue producing this model.

Find S if monthly sales of SUVs are 1,200 at time t=0 (t). How long will the business keep making this model?

Given S'(t)=-24^{1/3} ... ... (1)

Condition (1) at t=0; s(t) =1200

We find S(t)=300 then t=?

a) We find S(t)

from S'(t)=-24^{1/3}

\implies \frac{dS(t)}{dt}=-24t^{1/3} ~~[\because X'(t)=\frac{dX}{dt} \\\implies dS(t) = -24t^{1/3}dt\\

On Integrating both sides

S(t)=-18t^{4/3}+c ~...~...~(2)

Now, at t=0 then S(t)=1200

So, from (2)

1200=0+c

⇒c=1200

\thereforefrom eq (2)

S(t)=-18t^{4/3}+1200 ~...~...~(3)

b) Considering that the firm intends to cease production of this model once monthly sales exceed 300 SUVs.

So, take S(t)=300

from eq (2) 300=-18t^{4/3}+1200

t^{4/3}=\frac{1200-300}{18}\\=\frac{900}{18}=50\\\implies t=50^{3/4}\\\implies t=18.8030

Hence the company will continue 18.8020 months.

Learn more about integration here-

brainly.com/question/18125359

#SPJ10

8 0
1 year ago
5=4b-12 hurry and make sure you put how you got the answer
PIT_PIT [208]

Answer:

4.25

Process:

  • 5=4b-12
  • 4b=12+5
  • 4b=17
  • b=\frac{17}{4}
  • b= 4.25
5 0
2 years ago
Read 2 more answers
Ethan ill do 3 questions at a time :)
pashok25 [27]
1.) Number of Total Shirts = 220

In Figure 1, Red boxes represent "<span>short sleeve shirts" which is 7 in number whereas Blue boxes represent "long sleeve shirts".

1 box contains = 220/10 = 22 shirts 

Number of short sleeves = 22 * 7 = 154

<span>In short, Your Final Answer would be: 154 

</span></span>2.) Number of Total Subscribers = 260

In Figure 1, Red boxes represent "<span>regular subscribers" which is 10 in number whereas Blue boxes represent "premium subscribers".

1 box contains = 260/13 = 20 subscribers. 

Regular subscribers = 20 * 10 = 200 

<span>In short, Your Final Answer would be: 200
</span></span>
3.) Number of Total People = 360

In Figure 1, Red boxes represent "<span>Males" which is 3 in number whereas Blue boxes represent "females".

1 box contains = 360/12 = 30 people

Number of males: = 30 * 3 = 90

<span>In short, Your Final Answer would be: 90

Hope this helps!
</span></span>

7 0
2 years ago
Read 2 more answers
Cuando dejamos un trozo de chocolate al sol ,se derrite​
Pachacha [2.7K]

Answer:si

Step-by-step explanation:

por la calentura de sol

7 0
3 years ago
Other questions:
  • You will be administratively suspended if you have a breath or blood alcohol level of ____ or above or refuse to submit to a che
    13·2 answers
  • uppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. Your calculator answer would be 11.76 c
    7·1 answer
  • Part A: Tara has softball practice Tuesday, Wednesday, Thursday, and Sunday. Each practice is 1 1/3 hours. Tara says she will ha
    9·2 answers
  • Help me solve this problem please
    7·2 answers
  • Selina surveyed 150 people to find out which of five sports they prefer to watch TV on. The results of the survey are shown in t
    12·1 answer
  • The factor by grouping method found the GCF's of the original polynomial to be "5x" and "+6."
    15·1 answer
  • Is 1/3, 7/21 proportion ​
    6·1 answer
  • Question Help The circumference of the hub cap of a tire is 73.54 centimeters. Find the area of this hub cap. Use 3.14 for it. U
    7·1 answer
  • A) 5<br> 11 + 4<br> 3<br> add the following rational number
    10·1 answer
  • The Tookesons want to trade in their station wagon on the purchase of a new station wagon. A used vehicle guide shows the averag
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!