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
Fofino [41]
3 years ago
6

Find the 8th term of the arithmetic sequence -2x+5−2x+5, -7x+8−7x+8, -12x+11, ...

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

  -37x+26

Step-by-step explanation:

The x-coefficients have the sequence ...

  -2, -7, -12, ...

which has first term -2 and common difference of (-7 -(-2)) = -5. Then the 8th x-coefficient is ...

  -2 + (-5)(8 -1) = -37

__

The constants have the sequence ...

  5, 8, 11, ...

which has first term 5 and common difference 8 -5 = 3. Then the 8th constant term is ...

  5 +(3)(8 -1) = 26

The 8th term of the sequence is -37x +26.

_____

The general term of an arithmetic sequence with first term a1 and common difference d is ...

  an = a1 +d(n -1)

In the above, we have used n=8 to find the 8th term.

You might be interested in
What is another why to say geometry​
lord [1]

Answer:

jeeoumetry

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A football player scores 40 goals in 60 games find the rate of scoring goals per game
valentinak56 [21]

Answer:

0.7 (rounded)

Step-by-step explanation:

Step-by-step explanation:

40 goals/60 games

40/60 = 0.7 (rounded)

So, the football player's rate of scoring per game is 0.7

6 0
2 years ago
Read 2 more answers
11,8,5,2… what is the 100th term
kirza4 [7]
In order to solve for a nth term in an arithmetic sequence, we use the formula written as:<span>

an = a1 + (n-1)d

where an is the nth term, a1 is the first value in the sequence, n is the term position and d is the common difference.

First, we need to calculate for d from the given values above.  
d=11-8=3

at n=100
</span>an = a1 + (n-1)d
<span>a100 = 11 + (100-1)3
a100 = 308</span>
8 0
3 years ago
What is the biggest area of a quadrilateral you can fit in a circle that has a
erik [133]

Answer: 200 square units

Step-by-step explanation:

Given

Circumference of the circle is 20\pi

Suppose r is the radius of the circle

The biggest area of a quadrilateral that can fit in a circle is of square.

Deduce the radius of the circle

2\pi r=20\pi\\r=10\ \text{units}

Suppose the side of the square is a

from the figure, we can write

\Rightarrow a^2+a^2=(2r)^2\\\Rightarrow 2a^2=4r^2\\\Rightarrow a=\sqrt{2}r\\\Rightarrow a=10\sqrt{2}\ \text{units}

Area of the quadrilateral is

\Rightarrow A=(10\sqrt{2})^2\\\Rightarrow A=100\times 2\\\Rightarrow A=200\ \text{square units}

7 0
3 years ago
Whats the answer to 5 hundreds 5 tens ×10
babunello [35]
The answer is 5,500. 5 hundreds is equal to 500 because 5*100=500. 5 tens is equal to 50 because 5*10=50. So then you add 500 and 50 to get 550. The problem then says to multiply by ten you’d do 550*10. The answer to that is 5,500. If you have any questions please comment.
4 0
3 years ago
Other questions:
  • Need some help please!!
    15·1 answer
  • Alexa and Brent are each working on a 30-question assignment. Alexa completed 20% of the questions. Brent completed 30% of the q
    14·1 answer
  • How much energy is required to lift a 9 kg (20 lb) bag of rice from the floor to the trunk of your car located 0.9 meters above
    5·1 answer
  • A line intersects the point (-3, -7) and
    6·2 answers
  • What is an equation of the line that passes through the points (3, 4) and (-4, -3)? Put your answer in fully reduced form.​
    10·1 answer
  • W
    14·1 answer
  • 2. A bag of trail mix weighs 2 pounds. By weight, 18% of the mix is oats. (a) Use the 10 by 10 grid to represent 2 lb of trail m
    12·1 answer
  • A drum used for percussion has sides modeled by a hyperbola. The total height of the drum is 35 inches. The diameter at the top
    8·1 answer
  • Lauren has finished 25% of the 120 push ups she needs to do for softball
    7·1 answer
  • 6
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!