What is the sum of the first 150 odd positive integers?
Show work please!!!

Answers

Answer 1

Answer:

11325.

Step-by-step explanation:

Step 1: address the formula, input parameters & values.

Input parameters & values:

The number series 1, 2, 3, 4, . . . . , 149, 150.

The first term a = 1

The common difference d = 1

Total number of terms n = 150

Step 2: apply the input parameter values in the formula

Sum = n/2 x (a + Tn)

= 150/2 x (1 + 150)

= 22650/2

1 + 2 + 3 + 4 + . . . . + 149 + 150 = 11325

Therefore, 11325 is the sum of positive integers up to 150.

Answer 2

The sum of the first 150 odd positive integers is 11325.

The number series 1, 2, 3, 4, . . . . , 149, 150.

The first term a = 1

The common difference d = 1

Total number of terms n = 150

Sum = n/2 x (a + Tn)

= 150/2 x (1 + 150)

= 22650/2

1 + 2 + 3 + 4 + . . . . + 149 + 150 = 11325

What is a positive integer example?

: An integer is positive if it is greater than zero. Example 1, 2, 3 . . . Negative Integers: An integer is negative if it is less than zero. Example -1, -2, -3 . . .

The definition of a positive integer is a whole number greater than zero. The set of positive integers includes all counting numbers (that is, the natural numbers).

What is an odd number answer?

Odd numbers are the numbers that cannot be divided by 2 evenly. It cannot be divided into two separate integers evenly. If we divide an odd number by 2, then it will leave a remainder. Examples of odd numbers are 1, 3, 5, 7, etc.

Learn more about odd numbers here:https://brainly.com/question/2263958

#SPJ2


Related Questions

if john gets 1 apple and already has 20 in a basket how many do you have in total.

Answers

Answer:

21

Step-by-step explanation:

the reason it is 21 is because u have 20 then u add 1 so it is 21 20+1=21

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

John already has 20 apples. If John gets 1 more apple, he would have 21 apples in total.

The word gets means addition. 20 plus 1 equals 21.

John has 21 apples after he gets another apple.

Ok technically I would have 0 apples since I didn't receive any only John did.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

tolong dibantu yah pliss..

Answers

Answer:

Step-by-step explanation:

a. 4/7 + 3/8 = 32/56 + 21/56 = 53/56

b. 2/5 + 5/8 = 16/40 + 25/40 = 41/40 = 1  1/40

c.  3/8 + 2/10 = 15/40 + 8/40 = 23/40

d. 4/5 + 2/6 = 24/30 + 10/30 = 34/30 = 1 4/30 = 1 2/15

e. 5/6 + 2/9 = 15/18 + 4/18 = 19/18= 1 1/18

f. 2/15 + 5/12 = 8/60 + 25/60 = 33/60 = 11/20

work out your perimeter of a semicircle with raduis 3cm give your answer in terms of pie

Answers

Answer:

18.84 cm

Step-by-step explanation:

P = 2 × pi × r

= 2 × 3.14 × 3cm

= 6cm × 3.14

= 18.84 cm

Answer:

9/2 π

Step-by-step explanation:

[tex]Perimeter = \frac{\pi r^2}{2} \\r = 3\:cm\\\\P = \frac{\pi \times 3^2}{2}\\ \\P = \frac{\pi \times 9}{2}\\ \\P = \frac{9 \pi}{2} \\\\P = \frac{9}{2} \pi[/tex]

I need The answers now hellllp
step by step explaination​

Answers

Answer:

1a. A

1b. C

2 and 3 you have to draw

4a. 90 degree angle

4b. 180 degree angle

5a. 112 degrees

5b. 145 degrees

Step-by-step explanation:

for 5 you just subtract the given values from 360

Answer:

1a) A

(both B and C intersect at A)

1b) not sure

2a) draw 270 degree angle

360/4 = 90

90+90+90 = 270 = 3/4

2b) draw an angle less than 90 degree to get an acute angle

3a) first draw a 90 degree angle then divide the angle into two half and you ll get an angle of 45 degrees

90/2 = 45

but since you re not allowed to use compass or protactor so you might not get exact 45 but near to it

3b) draw a 90 degree angle facing downward and thats 270 degree

hope you get what im trying to say if not you can ask me again

4a) acute angle (90 degree)

4b) reflex angle (180 degree)

5a) 112 degree

118 + 130 + x = 360

248 + x  = 360

x  = 360 - 248

x  = 112

5b) 145 degree

360 - 215 = 145

im posting the solutions and the answers of your previous questions here

6a) a = 60 degree

6b) b = 27 degree

because sum of interior angles of a triangle is 180

7a) b = 60 degree and a = 30 degree

7b) x = 36 degree and x = 36 degree

isosceles triangle has 2 same angles and 1 different

x + x + 108 = 180

2x + 108 = 180

2x = 180 - 108

2x = 72

x = 72/2

x = 36

8a) x = 95 degree

8b) a = 100 degree

9) steps;

draw a line segment QR

draw 120 degree angle at point Q

now open the compass of 2cm (or of your own choice) and draw a small arc from point Q such that it intersects line PQ and QR and name that point between QR as O

now from point O, open your compass of same measurement and draw an arc that cuts the previous arc

now draw a line from point Q to join the new formed arc

now using a protactor measure both the newly formed angles

 

Step-by-step explanation:

Samantha conjectures that for x < -1, it is true that x5 - 2 > x. Is her conjecture correct? Why or why not?

Answers

Answer:

  The conjecture cannot work for any negative numbers, It works for x > 1.3.

Step-by-step explanation:

An odd power preserves the sign. For |x| > 1, the power increases the magnitude. For x < 0, adding -2 only increases the magnitude more. A negative number of larger magnitude will not be "greater than" the reference. It will be "less than."

It only takes a counterexample to show the conjecture is incorrect.

  x^5 -2 ?? x

  (-2)^5 -2 ?? (-2)

  -32 -2 ?? -2

  -34 < -2 . . . . . . not greater than

Evaluate 8-m/n+p^2 when m=8,n=2,p=7

Answers

Answer:

[tex]0[/tex]

Step-by-step explanation:

[tex] \frac{8 - m}{n + p {}^{2} } = \frac{8 - 8}{2 + 49} = \frac{0}{51} = 0[/tex]

Face east, turn through an angle of 180 degree to your right, your final direction will be _________________. 
east
north
south
west

Calculate the length of the third side of a triangle where AB = 6cm, BC = 8cm.
7cm
9cm
10cm
12cm

Pick out the sets of number that is NOT Pythagorean triples.
9, 40, 46
16, 30, 34
10. 24, 26
50, 120, 130
No rushing, take your time and give accurate answers.​

Answers

Answer:

West

10 cm

The first one

Combine the like terms to create an equivalent express −3x−6+(−1)

Answers

Answer:

-3x-5

Step-by-step explanation:

-3x-6+(-1)

-3x-6-1

-3x-5

Water flows through a pipe at a rate of 1300 cubic meters per month. Express this rate of flow in pints per day. Round your answer to the nearest whole number. please help. I'm so dumb I cant figure this out lol.

Answers

Answer:

70 pints per day

Step-by-step explanation:

1 cubic meter is 2113.38 pints

on average, there is 30 days in a month

2113.38 divided by 30 is 70.44600

70.44600 is about 70

Answer:

91590

Step-by-step explanation:

A 12 pack of soda cost $3.25 What is the unit price

Answers

Answer:

About $0.2708 per unit ' each can '.

Answer:

$.27

Step-by-step explanation:

$3.25 / 12 = 27

Solve x^3 = 64 over 27

Answers

Answer:

x = 4/3

Step-by-step explanation:

x³ = 64/27x³ = 4³/3³                           ⇒ expressing 64 and 27 as cubes∛x³= ∛4³/3³                       ⇒ cube roots of both sidesx = 4/3                               ⇒ answer

how long will an object take to travel 4.8km at 48m/s?​

Answers

Answer:

what is your fav movie or show on netfix

Step-by-step explanation:

Answer:

[tex] \boxed{\sf Time \ taken \ (t) = 100 \ s} [/tex]

Given:

Distance (d) = 48 km = 4800 m/s

Speed (s) = 48 m/s

To Find:

Time taken (t)

Step-by-step explanation:

Formula:

[tex]\boxed{ \bold{ Speed \ (s) = \frac{Distance \ (d)}{Time \ (t)}}}[/tex]

Substituting value of s & d in the equation:

[tex] \sf \implies 48 = \frac{4800}{t} \\ \\ \sf \implies t = \frac{4800}{48} \\ \\ \sf \implies t = 100 \: s[/tex]

[tex] \therefore[/tex]

Time taken (t) = 100 s

carlos wants to buy some new video games. each game he buys costs $36. help carlos by writing an equation that represents his total price.

Answers

Answer:

36 × (how many games he buys) = (the price)

Step-by-step explanation:

36 dollars multiplied by the number of games he buys will equal the price.

Example:

Let's say he bought 3 games.

36 × 3 = 108

So, in this case, he bought three games using $108 .

Five times the sum of a number and 27 is greater than or equal to six times the sum of that num
solution set of this problem?

Answers

Question:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.

What is the solution set of this problem?

Answer:

[tex]x \leq -21[/tex]

Step-by-step explanation:

Given

Represent the number with x

So:

[tex]5 * (x + 27) \geq 6 * (x + 26)[/tex]

Required

Determine the solution set

[tex]5 * (x + 27) \geq 6 * (x + 26)[/tex]

Open Both Brackets

[tex]5 * x + 5 * 27 \geq 6 *x + 6 * 26[/tex]

[tex]5x + 135 \geq 6x + 156[/tex]

Collect Like Terms

[tex]5x - 6x \geq 156-135[/tex]

[tex]- x \geq 21[/tex]

Multiply both sides by -1

[tex]x \leq -21[/tex]

Hence, the solution set is [tex]x \leq -21[/tex]

Answer:

[tex]x\leq -21[/tex]

Step-by-step explanation:

hewo, cuties. I hope chu all has goodday UwU
3 - 2= 1
8 / 2=4
1 x 3 =3
1 4 3 = ily uwu

Answers

Answer:

1 4 3 4 4 = ilyvm

1 4 3 3 = ilyt

Step-by-step explanation:

Yvygygygygygygygygygygygygygyg

yh so um What is 1/8of 48?

Answers

Answer: 1/8 of 48 is 6.

Step-by-step explanation: working this on a calculator helps as well! I hope that makes everything make sense

Answer:

6

Step-by-step explanation:

of means multiplication

Inverse Function f(x)= -4 + 2/3x

Answers

Answer:

[tex]f^{-1}(x)=\frac{3x}{2} +6[/tex]

Step-by-step explanation:

hope this helps

Can anyone pls help with this question?

Simplify the following algebraic fraction.

Answers

Answer:

work is pictured and shown

What is an equivalent expression for s^-10 divided by s^3

Answers

Answer:

s^-13

Step-by-step explanation:

you subtract when it is division

s^-10 / s^3

-10 - 3 = -13

s^-13

Answer:

s^0.03333333333

Step-by-step explanation:

s^1/10 divided by s^3

What is 2x^2=18 Solve it please!

Answers

Answer:

3

Step-by-step explanation:

[tex]2x^{2} = 18\\ => x^{2} = \frac{18}{2} =9\\ => x = \sqrt{9} = 3[/tex]

Hope u'll like it.....

Step-by-step explanation:

2x²=18

x²=18/2

x²=9

squaring both sides

and we get

x=3

Help please | | | This is geometry by the way

Answers

Answer:

21). WX = 10

22). VW = 22

23). WY = 20

24). VX = 32

25). WZ = 30

26). VY = 42

Step-by-step explanation:

In the figure attached,

V, W, X, Y and Z are collinear.

VZ = 52, XZ = 20 and WX = XY = YZ

21). Since XZ = 20

     XY + YZ = 20

     WX + WX = 20 [Since, XY = WX = YZ]

     2(WX) = 20

     WX = 10

22). VZ = VW + WX + XY + YZ = 52

     VW + 3(YZ) = 52 [Since, WX = XY = YZ]

     VW + [tex]3(\frac{XZ}{2})[/tex] = 52

     VW + [tex]\frac{3}{2}\times 20[/tex] = 52

     VW = 52 - 30 = 22

23). WY = WX + XY

             = 2(WX)

             = 20

24). VX = VW + WX

             = 22 + 10

             = 32

25). WZ = 3(WX)

             = 30

26). VY = VZ - YZ

            = 52 - 10

            = 42  

2. Use the ideas in drawings (a) and (b) to find the solution to
Gauss's Problem for the sum 1 + 2 + 3 + ... + n. Explain
your reasoning.

Answers

Answer:

Step-by-step explanation:

Hello, I will compute twice the sum so I need to compute,

[tex]\begin{aligned}1&+2&+...+&(n-1)&+n\\\\n&+(n-1)&+...+&2&+1\\\\-&-----&---&---&---\\\\(n+1)&+(n+1)&+...+&(n+1)&+(n+1)\end{aligned}[/tex]

1+n = n+1

2 + n-1=n+1

...

n-1+2=n+1

n+1=n+1

So, this is n times n+1 so it is n*(n+1)

[tex]2(1+2+3...+n)=n(n+1)\\\\1+2+3...+n=\dfrac{n(n+1)}{2}[/tex]

Which statement is true about the climbers’ heights?

Answers

Answer:

Both climbers rested on the wall at a constant height for 2 minutes.

Step-by-step explanation:

Which addition expression has the sum 8 – 3i ? (9 + 2i) + (1 – i) (9 + 4i) + (–1 – 7i) (7 + 2i) + (1 – i) (7 + 4i) + (–1 – 7i)

Answers

Answer:(9+4i) + (-1-7i), or B on edgunity

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

Which of the following depicts a graph of a polynomial with a negative leading coefficient?

Answers

Answer:

Graph D.

Step-by-step explanation:

Hey there!

A coefficient is the number being multiplied by the variable,

Example: 5x - 5 is a coefficient

Graph d has a negative slope meaning the slope would be,

-1, -2, -3, -4, -5, ect.

So graph D is correct.

Hope this helps :)

My question is, y=mx+b solve for b

Answers

Answer:

Step-by-step explanation:

The null hypothesis suggests that the two samples come from ___________ distribution(s), and the experimental hypothesis suggests that the two samples come from _____________ distribution(s). Group of answer choices the same; different different; different different; the same the same; the same

Answers

The null hypothesis suggests that the two samples come from the same distribution(s), and the experimental hypothesis suggests that the two samples come from different distribution(s).

A=
f forr
2
=
o
Need help with that plz help me

Answers

Answer:

r = 2a + k

Step-by-step explanation:

Hope this helps :D

Distance Traveled and Gas Left in Tank Distance Traveled (in miles) 0 90 180 270 Amount of Gas Left in Tank (in gallons) 15 12 9 6 How many gallons of gasoline does the car have left after it has traveled 330 miles?

Answers

Answer:

4 gallons of gasoline the car has left after it has traveled 330 miles.

Step-by-step explanation:

We are given with the following data of Distance Traveled and Gas Left in Tank below;

   Distance Traveled (in miles)       Amount of Gas Left in Tank (in gallons)

                 0                                                            15

                90                                                           12

               180                                                            9

               270                                                           6

               330                                                           ?

As we can see from the table that for every 90 miles of distance traveled, there has been a reduction of 3 gallons of gas which is left in the tank, i.e;

From 90 to 180 - Gas reduced from 12 to 9

This means that in 1 gallon of gas, the distance traveled is =  [tex]\frac{90}{3}[/tex] = 30 miles

So, from distance 270 to 300, the amount of Gas Left in Tank = 6 - 1 = 5 gallons

From distance 300 to 330 miles, the amount of Gas Left in Tank = 5 - 1 = 4 gallons

Hence, 4 gallons of gasoline is left after the car has traveled 330 miles.

3^2. is an example of

Answers

Answer:

3 times 2 which is 6

Step-by-step explanation:

Answer
3 squared
3 to the second power
An exponent
The correct answer is 9
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