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
andreev551 [17]
3 years ago
5

Someone please help me with all !

Mathematics
2 answers:
Arisa [49]3 years ago
8 0

Answer:

109 is not a term

Step-by-step explanation:

goldenfox [79]3 years ago
4 0

You can observe that every next term is computed by adding 4 to the previous one.

This implies that the difference between consecutive terms is always 4, and this is an arithmetic sequence.

In order to find the explicit equation, we can explore the pattern:

a_1 = -1 = -1+4\cdot 0

a_2 = 3 = -1+4\cdot 1

a_3 = 7 = -1+4\cdot 2

a_4 = 11 = -1+4\cdot 3

So, as you can see, we have

a_n = -1+4(n-1) = 4n-5

If 109 is a term of the sequence, there must exist a natural number n such that

109 = 4n-5 \iff 4n = 114 \iff n = \dfrac{114}{4} = 28.5

So, 109 is not a term of the sequence.

You might be interested in
108 cookies in 36 minutes. how many cookies did he decorate per minute?
Mumz [18]

Answer:

3

Step-by-step explanation:

108 divided by 36 = 3

search up   108 / 36  

3 0
2 years ago
Read 2 more answers
The diameter of each wheel of a bicycle is 27 inches. If you are traveling at a speed of 20 miles per hour on this bicycle, thro
klasskru [66]
Notice, you've got a diameter in inches
and a linear velocity in miles
thus, you'd need to convert first

\bf v=rw\implies \cfrac{v}{r}=w\qquad 
\begin{cases}
v=\textit{linear speed}\\
r=radius\\
w=\textit{angular speed}\\
 --------------\\
v=20\frac{mi}{h}\\
r=\frac{diameter}{2}=\frac{27}{2}
\end{cases}
\\\\
\textit{now, converting 20miles to inches}
\\\\
\cfrac{20mi}{h}\cdot \cfrac{5280ft}{mi}\cdot \cfrac{12in}{ft}\implies \cfrac{20\cdot 5280\cdot 12\ in}{h}\impliedby v
\\\\\\
\cfrac{1267200\frac{in}{h}}{\frac{27}{2}in}=w

now, whatever that is, you'll need to divide it by a revolution, recall, a revolution is 2\pi
thus \bf \cfrac{\qquad \boxed{\cfrac{1267200\frac{in}{h}}{\frac{27}{2}in}}\qquad }{2\pi }=revolutions
7 0
3 years ago
Read 2 more answers
Please help me ASAP easy problem giving brainlist!!
Fiesta28 [93]
<> because it means greatest and least only
7 0
3 years ago
Read 2 more answers
A bookstore tracked the data of the weight of their deliveries and the number of books in each box. They created a scatterplot a
SIZIF [17.4K]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Is the following expression true or false? Show your work.
Paul [167]

Answer: True

Solution:

Rearrange the equation to the LHS:

[x^2 + 8x + 16] · [x^2 – 8x + 16] - (x^2 – 16)^2 = 0

Factoring  x^2+8x+16

x^2 - 4x - 4x - 16

= (x-4)  •  (x-4)

= = (x+4)2

So now we have an equation

(x + 4)^2 • (x - 4)^2 -  (x^2 - 16)^2  = 0

Step 2: Evaluate the following:

(x+4)2   =    x^2+8x+16

(x-4)2   =    x^2-8x+16  

(x^2-16)2   =    x^4-32x^2+256

(x^2+8x+16)  (x^2-8x+16  ) -  (x^4-32x^2+256 )

0 = 0

Hence True

3 0
3 years ago
Other questions:
  • The 1992 world speed record for a bicycle (human-powered vehicle) was set by Chris Huber. His time through the measured 200 m st
    10·1 answer
  • Factor<br> 6x2 – 17x – 14
    13·2 answers
  • A firm wishes to maintain an internal growth rate of 7.1 percent and a dividend payout ratio of 25 percent. The current profit m
    9·1 answer
  • 7. Find two consecutive even integers such that twice the smaller is
    7·1 answer
  • Translation rotation reflection
    9·2 answers
  • NEED HELP PLSSSSSS HELP MEEE
    8·2 answers
  • A new motorcycle has a value of $8,000. Every year its value decreases by $500. Which function can be used to find y, the value
    8·2 answers
  • PLS HELP ME NOW ASAP JUST ANYONE PLEASE
    5·1 answer
  • Solve the inequality and express your answer in interval notation. x² + 8x + 3 &lt; 0
    5·1 answer
  • Given PRQ = XYZ, sketch a diagram and state all corresponding sides and angles.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!