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
Amiraneli [1.4K]
3 years ago
8

The sum of the first n odd numbers is n^2. What is the sum of the odd numbers from 1 through 31?

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0

Answer:

256

Step-by-step explanation:

sum of the first n odd number is n^2

if we want to find the sum of of 1 thru 31

to find out how many numbers that is

(1+31)/2 = 32/2 =16

there are 16 numbers

n^2 =16^2 =256

You might be interested in
Given the following table, find the rate of change between f(-1) and f(2). x -1 0 1 2 3 f(x) -2 -1
salantis [7]

Answer:

[f(2) - f(-1)]/3

Step-by-step explanation:

The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:

rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3

To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.

6 0
3 years ago
Read 2 more answers
Your boss gave you a raise. Your weekly salary went from $375 to $450. What was your percent raise?
Yuri [45]
<span>1. Find the difference
2. Divide the difference by the original number it went up from.
</span>
450-375 = 75

75/375 = 0.2

You got a 20% raise.

Proof:
375*.2 = 75
375+75 = 450
3 0
3 years ago
A blind man wanders under a door into an empty room. After running into the walls repeatedly for a while, it stops to think and
Nostrana [21]

From the side where the man is located in the 10' by 12' rectangular room, we have;

A) 0.046

B) The average time to escape in first attempt is approximately 605.02 seconds

<h3>Which concept can be used to find the odds and time of escape?</h3>

A) From The given diagram, we have;

Width of the door = 10 - 6 - 2 = 2

Therefore, the door is 2 feet wide

Distance, d1, from the man to the side of the door closer to him is given by Pythagorean theorem as follows;

  • d1 = √(6² + 7²) = √(85)

From the furthest side of the door to the man, we have;

  • d2 = √(7² + 8²) = √(113)

According to the law of cosines, we have;

2² = 85+113 - 2×√(85)×√(113) cos(A)

Where angle <em>A </em>is the angle formed by the lines from the man to the closer and farther sides of the door.

2×√(85)×√(113) cos(A) = 85+113 - 2²

A = arccos((85+113 - 2²)/(2×√(85)×√(113)))

A = arccos (194/(2×√(9605)) ≈ 8.213°

The angle of the possible directions in which the man can turn is 180°.

Therefore;

The probability, <em>P(</em><em>E)</em>, of escaping in the first move is therefore;

  • P(E) = 8.213°/180° ≈ 0.046

B) Given that the man escapes in the first move, the shortest and longest distances the man moves are;

d1 = √(85) and d2 = √(113)

Speed of the man, <em>v </em>= 0.5 cm/sec

Therefore by unit conversion function of a graphing calculator;

  • v = (25/1524) ft./sec

The times taken are;

t1 = √(85)/(25/1524) ≈ 562.023

t2 = √(113)/(25/1524) ≈ 648.014.

Average time, <em>t </em>= (t1 + t2)/2

Which gives;

t = (562.023 + 648.014)/2 ≈ 605.02

The average time it takes the man to escape in first move is <em>t </em><em>≈</em> 605.02 seconds.

Learn more about Pythagorean theorem and probability here:

brainly.com/question/27180985

brainly.com/question/654982

brainly.com/question/24756209

#SPJ1

3 0
1 year ago
6. Jeremy made a tally table to record
OlgaM077 [116]

Answer:

12

Step-by-step explanation:

add the tallys

6 0
3 years ago
Read 2 more answers
Sherri bought 45 cupcakes for a party she was having. If 60% of the cupcakes, were chocolate, how many cupcakes were chocolate?
Veseljchak [2.6K]
27 cupcakes were chocolate
4 0
3 years ago
Read 2 more answers
Other questions:
  • Ravi is riding his bicycle. He takes 6 hours to ride 76.8 kilometers. What is his speed?
    15·1 answer
  • HELP PLEASE!!!!!✊- 15 pts.<br><br><br> If there is an 8% tax on a $20 shirt was is the tax amount?
    15·2 answers
  • Which number line represents the solutions to ſx + 4) = 2?
    7·1 answer
  • Factor the expression 4x^2 +12x -72
    8·1 answer
  • Evaluate k^2 − 2 k + 5 , when k = − 2
    15·1 answer
  • What is the value of the expression?
    8·2 answers
  • I need help, ASAP, thanks!
    15·1 answer
  • Find the value of x.
    12·2 answers
  • 14. Last month, a truck made 7 round trips to Chicago and some round trips to Little Rock. Write an expression that shows how ma
    12·1 answer
  • If the bearing of p from q is 120° , what is the bearing of q from p​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!