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
serious [3.7K]
3 years ago
14

Find the 76th term of the arithmetic sequence 17 19 21

Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

167

Step-by-step explanation:

You might be interested in
determine if the sequence is geometric or arithmetic and find the ratio or difference. -1, 6, -36, 216
andrew-mc [135]
The sequence is an geometric progression;
Nth=a₁r^(n-1)
a₁ is the first term=-1
r=ratio=a₂/a₁=6/-1=-6

Nth=-1(-6^(n-1)

NTh=an

a
₁=-1(-6⁰)=-1
a₂=-1(-6¹)=6
a₃=-1(-6²)=-36
a₄=-1(-6³)=216

therefore this serie is rising at an increasing fast speed, it is an geometric progression.


4 0
3 years ago
A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with 3/4 pound?
defon

Answer:

1

Step-by-step explanation:

6 0
3 years ago
Find all solutions and solutions in interval[0,2pi)
frutty [35]
\bf sin(2\theta)=2sin(\theta)cos(\theta)\\\\
-------------------------------\\\\
sin(2x)-\sqrt{3}cos(x)=0\implies 2sin(x)cos(x)-cos(x)\sqrt{3}=0
\\\\\\
\stackrel{\stackrel{common}{factor}}{cos(x)}[2sin(x)-\sqrt{3}]=0\\\\
-------------------------------\\\\

\bf cos(x)=0\implies \measuredangle x=
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}\\\\
-------------------------------\\\\
2sin(x)-\sqrt{3}=0\implies 2sin(x)=\sqrt{3}\implies sin(x)=\cfrac{\sqrt{3}}{2}
\\\\\\
\measuredangle x=
\begin{cases}
\frac{\pi }{3}\\\\ \frac{2\pi }{3}
\end{cases}
7 0
3 years ago
The volume of a rectangular prism is 2x^3+9x^2-8x-36 with height x + 2. Using synthetic division, what is the area of the base?
navik [9.2K]

Answer:

Area of the base = 2x^2+5x-18

Step-by-step explanation:

We know that volume of rectangular prism = (Area of base) x (Height)

or [Area of base] = [Volume]/[Height]

So basically we need to divide given area by given height to find the answer.

given height is (x+2) that means (x+2) must be factor of volume equation

or x=-2 must be root of volume equation so write down coefficients of volume equation then we divide by -2 as shown in attached picture.

Last digit on the right is always remainder.

Remaining coefficients {2, 5, -18} will give the area equation: 2x^2+5x-18

Hence final answer is:

Area of the base = 2x^2+5x-18


5 0
3 years ago
Help! i can’t figure this out!
Lunna [17]
X=36 because 1/3 times 36 equals 12
8 0
3 years ago
Read 2 more answers
Other questions:
  • How do go math lesson 2.5 3rd grade?
    14·2 answers
  • 10. What is the equation of the line perpendicular to y= (1/2)x-2 that contains the point (2,5)
    6·1 answer
  • Divide.<br> (n^3 -71n – 56) = (n+8)<br> Write the remainder as a fraction.
    6·1 answer
  • Use the points A (4,4) and B(4,-5). Complete the description of segment AB and find its length.
    13·2 answers
  • The area of a rectangle is 2937 M2 if the length is 15 what is the perimeter of the rectangle
    12·1 answer
  • Leo had $91, which is 7 times as much money as Alison had. How much
    10·2 answers
  • If you want to be 95​% confident of estimating the population mean to within a sampling error of plus or minus3 and the standard
    5·1 answer
  • 8x-10≤30
    8·1 answer
  • Make sure to show how you got your answer
    12·2 answers
  • Can some one help me on this
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!