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
Fudgin [204]
3 years ago
7

Look at the table. Make a conjecture about the sum of the first 25 positive even numbers.

Mathematics
2 answers:
Nata [24]3 years ago
7 0
We notice that the sum is Σ= n(n+1),

Then the SUM of the first 25 even numbersis equal to 25(25+1) = 25 x 26 
insens350 [35]3 years ago
6 0
Even number are of the form 2n.  The sum of this sequence is the average of the first and last terms times the number of terms.

So the first term is 2 and the 25th term is 50 so the sum is:

(2+50)(25/2)

52*12.5=650

The conjecture they wish you to make is that for n terms, the sum will be:

s=n(n+1)

And for 25 terms that would give you:

s=25*26=650
You might be interested in
In triangle abc, a is a right angle, and ab = 16√3, and the measure of b=30 degrees. What is the length of ac.
salantis [7]

Answer:

the length of ac is 16.

Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

              C

              ↓

               ↑

               A   →      ←  B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16

Therefore, the length of ac is 16.

             

6 0
2 years ago
Henry has 15 lawns mowed out of a total of 60 lawns. What percent of the lawns does Henry still have to mow?
Ksju [112]

Answer: He still has to mow 45 lawns, or 75% of the lawns before he is finished.

3 0
3 years ago
Chose the sets of -5
Amanda [17]

Answer:

-1,0, 6.3,

Step-by-step explanation:

if its right mark me brilliant please

6 0
3 years ago
Please help ASAP<br><br><br>Simplify <img src="https://tex.z-dn.net/?f=%5Csqrt%7B.64x%5E2%7D" id="TexFormula1" title="\sqrt{.64x
Brilliant_brown [7]
Answer: 4/5x

Explanation: simply the expression, then convert it and calculate your answer.
3 0
3 years ago
Y2-x3 when x=2,y=4 x1+x3-y2 when x=3 y=5 x4 divide x3 x=6 please help am bad at this
Katen [24]

Answer:

8 , 5 , 5.785

Step-by-step explanation:

y^2 - x^3

first just plug in the numbers and you get

(4)^2 - (2)^3

Multiply

16-8 and this equals 8

x1 + x^3 - y^2

same pattern plug in the numbers

(3)^(1) + (3)^3 - (5)^2

multiply

3 + 27 - 25

P

E

M

D

Addition

Subtraction so do 3+27 first and you get

30 - 25 = 5

x^4 / x^3 plug it in

(6)^4 / (6)^3

multiply

1269  / 216  

divide this and you get

5.875

8 0
3 years ago
Other questions:
  • Simplify.<br><br> x + (7 + 14 x )
    13·2 answers
  • Marion has A bicycle that she is planning to take for a ride. The room of the rear wheel why is 41 cm from the center of the whe
    7·1 answer
  • Which of the following is equivalent to
    15·2 answers
  • I need help working this out
    13·2 answers
  • Equation (in vertex form) for a parabola opening upward, shifted 7 units right and 4 units down
    10·1 answer
  • Question 13
    13·1 answer
  • What value of p makes the equation true?
    5·2 answers
  • Pleaseee helpppp meeee
    5·1 answer
  • Find the solutions of the quadratic equation -9x2 +2 +3 = 0.
    11·1 answer
  • Solve 11x+10y=32..... Will mark the brainliest!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!