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
Cerrena [4.2K]
3 years ago
7

Describe the relationship between the terms in each arithmetic sequence. Then

Mathematics
1 answer:
shtirl [24]3 years ago
4 0

Answer:

(a) The sum of the previous term and 9

(b) 36, 45, 54

Step-by-step explanation:

Given

Sequence: Arithmetic Progression

0,9,18,27

Solving (a): Describe the relationship in each term

First, we calculate the common difference (d)

In arithmetic progression:

d = T_n - T_{n-1}

Take n as 2

d = T_2 - T_{2-1}

d = T_2 - T_{1}

Where

T_2 = 9\ and\ T_1 = 0

d =9-0

d =9

<em>The relationship is: The sum of the previous term and 9</em>

Solving (b): The next three terms

As said in (a) each term is derived from a sum of 9 and the previous term

So, we have:

Next\ Term = 27 + 9 = 36

Next = 36 + 9 = 45

Next = 45 + 9 = 54

Hence, the next three terms are: 36, 45 and 54

You might be interested in
Rachel recorded the number of calls she made at work during the week:
Dmitry [639]

The chi-squared test statistic will be 3.11. The test statistic is contrasted with a predicted value based on the Chi-square distribution.

<h3>What is the chi-squared test statistic?</h3>

Finding the squared difference between the actual and anticipated data values, then dividing that difference by the expected data values, constitutes the test statistic.

The formula for the chi-squared test statistic is;

\sum \frac{(O_i-E_i)^2}{E_i } \\\\

Where,

\rm O_i is the observed value

\rm E_i is the expected value

The chi-square test statics is;

\rm( \frac{18-18}{18} )^2 +( \frac{14-18}{18} )^2 + (\frac{24-18}{18} )^2+( \frac{16-18}{18} )^2 \\\\ 0+ \frac{16}{18}+ \frac{36}{18} +\frac{4}{18}\\\\ \frac{56}{18} \\\\ 3.11

Hence, the chi-squared test statistic will be 3.11.

To learn more about the chi-squared test statistic refer;

brainly.com/question/14082240

#SPJ1

5 0
2 years ago
PLEASE HELP! I WILL MARK AS BRAINLIEST!! I REALLY NEED SOMEONES HELP!
Andrej [43]

Since this is subtraction, everything must be turned negative in the second polynomial.

(6x^2 - 5x) - (2x^2 + 3x - 2)

6x^2 - 5x - 2x^2 - 3x - (-2)

6x^2 - 5x - 2x^2 - 3x + 2

Now, reorder the terms to make it easier.

6x^2 - 2x^2 - 5x - 3x + 2

Now, just combine like terms.

4x^2 - 5x - 3x + 2

4x^2 - 8x + 2

There’s the answer!

Please consider marking this answer as Brainliest to help me advance.

4 0
3 years ago
Does 27.93 equal to this 20.7+0.9+0.03
nexus9112 [7]
No,27.93 equals <span>20.00+7.00+0.9+0.03</span>
5 0
3 years ago
An exponential function is expressed in the form y=axb^x. The relation represents a growth when ________ and a decay when_______
ArbitrLikvidat [17]

Answer:

Growth when: b>1.

Decay when: 0<b<1.

Step-by-step explanation:

Any function in the form f(x) =a\times b^x , where a > 0, b > 0 and b not equal to 1 is called an exponential function with base b.

if 0 < b < 1.  It is an example of an exponential decay.

The general shape of an exponential with b > 1 is an example of exponential growth.

Hence,

An exponential function is expressed in the form y=a\times b^x The relation represents a growth when  b >1 and a decay when 0<b<1.

4 0
3 years ago
An electrician charges a set fee for every house call and then charges an hourly ratedepending on how long the job takes. The to
Luda [366]

We have the equation:

C(t)=65+60t

Given the slope-intercept formula for the equation of the line, we have the following:

\begin{gathered} y=mx+b \\ m\colon\text{ slope} \\ If\text{ C=65+60t} \\ \Rightarrow slope\text{ = 60} \end{gathered}

Now, since we have that t is the number of hours the electrician spends working, the slope of the function represents the hourly rate charged.

8 0
1 year ago
Other questions:
  • Need help with 26,27,28
    12·1 answer
  • A biologist took a count of the number of fish in a particular lake, and recounted the lake’s population of fish on each of the
    10·1 answer
  • At the opening of an Olympic Games, the 38 representatives of a nation want to parade in columns of 6, is it possible? How could
    14·1 answer
  • Write an equation that can be used to calculate d,the distance traveled by Anthony in m minutes.use your equation to determine h
    14·1 answer
  • Both cases?
    12·1 answer
  • Please help me i'm struggling!
    5·1 answer
  • Find the volume......
    14·2 answers
  • A medium bottle of water contains 16 fluid ounces of water. A large bottle contains 1.25 as much water as the medium bottle. How
    12·2 answers
  • What is the correct answer NEED ASAP PLEASE ​
    8·1 answer
  • Which of the Following illustrates how to find the difference of <br> 12a ^2b and —5a^2b?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!