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
Vlad1618 [11]
3 years ago
10

Look at the table. Make a conjecture about the sum of the first 20 positive even numbers.

Mathematics
2 answers:
kirill [66]3 years ago
6 0

Answer:

Hence, the conjecture for the sum of first 20 positive integer is:

20×21=420

Step-by-step explanation:

The table is given as:

2                        = 2 =1.2

2+4                    = 6 = 2.3

2+4+6                = 12 = 3.4

2+4+6+8            = 20 = 4.5

2+4+6+8+10      = 30 = 5.6

Hence, we see the pattern as:

2+4+6+....+2n= n(n+1)

which is the sum of first n even positive integers.

Hence, we are asked to find the sum of first 20 positive even numbers that is we are asked to find the sum when n=20.

i.e. the sum of:

2+4+6+8+..........+40=20(20+1)

2+4+6+8+........+40=20×21=420.

Hence, the conjecture for the sum of first 20 positive integer is:

20×21=420

Ludmilka [50]3 years ago
3 0
It will be 20*21 based on the pattern in the chart
You might be interested in
Steve gets paid $50 a week plus $5 for each item he sells. He wants to know how many items he
Charra [1.4K]

<u>Answer:</u>

$50 + 5x > $220

5x> $220 - $50

7 0
3 years ago
What is each expression written using each base only once? 8^8 · 8^4
valentina_108 [34]

im not sure i did it right but i tried 8 ^ 12


4 0
3 years ago
Find x. Round to the nearest degree.
jeka94

The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.


We want angle x, which is opposite the side of length 39.


Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x


or 1521 = 3481 + 1296 - 2(36)(59) cos x


Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x

-3256 = -4248cos x

-3256

Then: cosx = --------------- = 0.766

-4248


Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)

5 0
3 years ago
Mr Hall earns $1500 per month. If income tax is deducted at 20%, find his net pay after tax.
Shtirlitz [24]

Answer:

$300

Step-by-step explanation:

1500 • 20%

1500 • 20/100

15 • 20

300

Hope this helps, good luck! :)

5 0
3 years ago
Read 2 more answers
Find the product
o-na [289]

Answer:

2x^3 - 2x^2  - 12x

Step-by-step explanation:

2x(x - 3)(x + 2)

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

= 2x (x^2 - x - 6)

= 2x^3 - 2x^2  - 12x (answer).

7 0
3 years ago
Read 2 more answers
Other questions:
  • Does the trapizoid have at lease 1 pair of parallel sides
    8·2 answers
  • what is each number written in scientific notation? 2. 1,220,000,000 a) 1.22 x 10 b) 0.1222 x 10^10 c) 12.2 x 100^8 d) 1.22 x 10
    13·1 answer
  • Perform the operation x-y/2 - x+y/3
    6·1 answer
  • Pete is making decorations for a dinner party.The instructions tell him to use 9 flowers for a medium-sized decoration.Complete
    10·1 answer
  • What is the IQR of <br>15,19,20,25,25,28,29,30,30,35,37,43<br>​
    9·2 answers
  • The solution of a system of linear equations is where the two lines intersect....
    8·2 answers
  • SOMEONE HELPPPPPPPPPP
    8·2 answers
  • 8595 divided by 24 please help for my hw
    7·1 answer
  • 8x - 8 - x = 3 (6 - 2x)
    8·1 answer
  • The dot plot below represents how long it takes students in an 8th grade math
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!