Sum of the second and third consecutive odd integers, simplified

Answers

Answer 1
If you know how to solve word problems involving the sum of consecutive even integers, you should be able to easily solve word problems that involve the sum of consecutive odd integers. The key is to have a good grasp of what odd integers are and how consecutive odd integers can be represented.

Odd Integers

If you recall, an even integer is always
2
2 times a number. Thus, the general form of an even number is
n
=
2
k
n=2k, where
k k is an integer.
If I am incorrect I am so sorry.:(

Related Questions

A school psychologist notes that the average number of times that students are disruptive during class is 1.4 [μ=1.4] times per day. Following recent classroom policy changes, the psychologist tests if the number of disruptions during class has changed. He records the following number of disruptions observed during a class day: 2, 4, 3, 5, 1, 1, and 4.
A. Test the hypothesis that the number of complaints has increased or decreased using a .05 level of significance.
B. Compute effect size using estimated Cohen's d.

Answers

Answer:

Reject the Null ;

0.928

Step-by-step explanation:

Given the data: 2, 4, 3, 5, 1, 1, 4

Sample mean = (2 + 4 + 3 + 5 + 1 + 1 + 4) / 7 = 2.857

Standard deviation, s = 1.57 ( using calculator)

The hypothesis :

H0 : μ = 1.4

H1 : μ ≠ 1.4

Since sample size is small, use T test

Test statistic :

Tstatistic = (x - μ) / s/sqrt(n)

Tstatistic = (2.857 - 1.4) / 1.57/sqrt(7)

Tstatistic = 1.457 / 0.593 = 2.455

Two tailed test at α = 0.05

Tcritical at df = 7-1 = 6 ; α = 0.05 = 2.447

Tstatistic > Tcritical ; reject the null

Since ;

2.455 > 2.447 ; we reject the null ;

There is significam evidence that Number of complaints has changed.

Effect size ;

d = (x - μ) / s

d = (2.857 - 1.4) / 1.57

d = 1.457 / 1.57

d = 0.928

For every 4 teaspoons of water is one cup of powder how many cups of powder do I need for 16 teaspoons

Answers

Answer:

4

Step-by-step explanation:16 divided y 4 is 4

Markus receives dollar bills from his grandfather for one week. On The first day he received a one dollar. On the second day he received two dollars on the third day he received four dollars and on the fourth day he received eight dollars if continues how much money will Markus have by the end of the week.

Answers

Answer:

he will have $127 by the end of the week

bro helppppppppppppp

Answers

Answer:

1. 2 and 2 is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

5
A line passes through the point (4, -3) and has a slope of
4
Write an equation in slope-intercept form for this line.

Answers

Answer:

y = 4x -19

Step-by-step explanation:

y = 4x + b

first we add the point to the equation and then we solve for b

-3 = 4 ( 4 ) + b

-3 = 16 + b

     -16

-19 = b

The zoo charges $14.50 for each visit, or you can buy a membership for $100

Answers

Answer:

Step-I’m going to need more information

Answer:

ill rather buy the membership

Step-by-step explanation:

Because its less money for more times to go to the zoo.

Multiply (x+5)(x-2).

Answers

Answer:

x^2+3x−10

Step-by-step explanation:

X^2+3x-10

First multiply x with (x-2)Next multiply 5 with (x-2) with + sign between them

x(x-2)+5(x-2)

X^2–2x+5x-10

X^2+3x-10

Answer: x^2-2x+5x-10

Step-by-step explanation:

multiply x1 by x2 which equals x^2 then x1 by -2 which is -2x then multiply 5 by x2 which is positive 5x then multiply 5 by -2 which is -10

HELP WILLING TO CASHAPP if answered quick and correctly + 100 points The points plotted below on the graph of a polynomial which of the following X values is the best approximation of a root of the polynomial? Check all that apply
X=-0.21
X=-4.6
X=-2.3
X=3
X=1
X=-3.5

Answers

first 1

4th one

i think sorry if its wrong

Answer:

Step-by-step explanation:

Did you ever find out the answer????

Classify each special right triangle in the length ratio of (Side1 : Side2 : hypotenuse)

Answers

Answer: i added a pic of the answers

Step-by-step explanation:

A bag of garden soil weighs 38 pounds and holds 4 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards.

Answers

Answer:

The weight of 15 bags is 258.21 kilograms.

The volume of 15 bags is 2.222 cubic yards.

Step-by-step explanation:

Dimensionally speaking, a pound equals 0.453 kilograms and a cubic yard equals 27 cubic feet. We proceed to calculate the weight and the volume of 15 bags by following conversions:

Weight

[tex]x = 15\,bags \times \frac{38\,lb}{1\,bag}\times \frac{0.453\,kg}{1\,lb}[/tex]

[tex]x = 258.21\,kg[/tex]

The weight of 15 bags is 258.21 kilograms.

Volume

[tex]x = 15\,bags \times \frac{4\,ft^{3}}{1\,bag} \times \frac{1\,yd^{3}}{27\,ft^{3}}[/tex]

[tex]x = 2.222\,yd^{3}[/tex]

The volume of 15 bags is 2.222 cubic yards.


Which fraction has a value less than 5-7?

Answers

Answer:

3/4

Step-by-step explanation:

what is the sum of213,857?

Answers

Answer:

1079

Step-by-step explanation:

213

+857= 1070

sum means addition .

Linda Pearl purchased a new computer for $3,500 using the stores installment credit plan. if he is required to make a 30% down payment and finances the remaining amount what is the total amount that he will finance

Answers

Answer:

$2450 is the remaining amount

Step-by-step explanation:

i divided 3500 into 10th because its usually easier to do when you are working with percents, then so every 10 is $350. so he put down $1050 or the 30% because 350x3 is 1050 then you subtract 1050 from 3500 which then you get 2450.

Answer:

2450

Step-by-step explanation:

70% of 2450

Help plz:)))I’ll mark u Brainliest

Answers

Step-by-step explanation:

The angle where the shadow ends is

[tex] \tan(x) = \frac{48}{60} \\ x = 38.66[/tex]

The distance from the tree to the angle of end shadow equal (60-20)=40ft

So the tall of tree is

[tex] \tan(38.66) = \frac{x}{40} \\ x = 40 \times \tan(38.66) \\ x = 32ft[/tex]

Word problem please help thank you

Answers

Answer:

The equation would be           P(t) = 280t + 3310              

The estimated number of moose in 2008 would be 8350 moose.

Step-by-step explanation:

First we will have to find out by how much will the number of moose increase each year. In order to do that we the number by which the population of moose increase, by the difference between 1991 and 1999. And so we get...

[tex]\frac{5830-3590 }{1999 - 1991} = \frac{2240}{8} = 280[/tex]

Now that we know by how much the number of moose increases each year, we can make the following equation...

Let "t" be the number of years from 1990, then...

P(t) = 280t + 3310

(if you are wondering why is it 3310, it is because you have to put in the number of moose that was there in 1990 and you can get that number by substracting 280 from the number of moose in 1991).

Based on the linear relation we figured out, the number of moose in 2008 would be predicted to be...

P(t) = 280t + 3310

P(2008 - 1990) = 280(2008 - 1990) + 3310

P (18) = 280(18) + 3310

P(18) = 8350

To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.​

Answers

The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

P(0) = 2800

r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria

Step 6: Show how the masses of the objects affect the gravitational force between them.
a) Create a slide titled How the Masses of Objects Affect the Gravitational Force between
Them.
b) Include this table on your slide:
Mass of Object 1
(kg)
Mass of Object 2 (kg) Gravitational Force
(N)
1 x 1020 1 x 1020 1 x 1040
G
3 x 1020 1 x 1020 3 x 1040
G
2 x 1020 2 x 1020 4 x 1040
G
3 x 1020 4 x 1020 12 x 1040
G
c) Use the table to explain how the masses of Objects 1 and 2 relate to the gravitational force
between them

Answers

Answer:

134(47)√45

Step-by-step explanation:

46+24=12 dkkf

fjskkf

Answer:

ik this is late so sry but um hope this helps someone else in the future?

Step-by-step explanation:

We’re going to see how the masses of objects affect the gravitational force between them. Since gravitational force between two objects depends on the mass and distance between them, as you can see in the chart, as the mass of the objects multiplies, so does the gravitational force between them. To find the actual gravitational force between the two objects, you take the mass of both objects and multiply them. Let’s try and find the gravitational force between them. First, we have to find the mass of the object, so we’ll take the mass of objects 1 and 2 in the first equation. So let’s start with object 1, 1x10 to the 20th power which equals 10 to the 20th power, now object 2, 1x10 to the 20th power which equals 10 to the 20th power. Now we multiply the masses to get the gravitational force of 10 to the power of 40.

Hope you have a wonderful day and sry again that this is late

HELPPP I NEED THIS BY 2:30

You bought a book for $5 and four bookmarkers. You spent a total of $13. How much did each bookmarker
cost?

*show work*

Answers

Answer:

they each costed $2

Step-by-step explanation:

all you do is take 5 and count how many fingers u have left then u get 2

Answer:

Each book mark is 2 dollars

Step-by-step explanation:

You subtract the $5 from the $13 and that is equal to 8 dollars. Then you divide 8 by the 4 bookmarks and the answer is 2 dollars.

Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each, she had 28 apples left.
Write an equation that represents the story.

Answers

Answer:

Step-by-step explanation:

4(a-1) = 28

a = 8 apples per bag

which state ment correctly identifies the line of reflection ​

Answers

The y axis is down the middle of the 2
the answer for this problem is y axis is down the middle of 2

In August, a grocery store averaged about 620 customers per day. In September, the average number of customers per day at the store was 1075. What was the approximate percent increase in the average number of customers per day from August to September?

255%
73%
70%
59%

Answers

For these types of questions you normally do the new amount - original amount / the original. So 1075-620/620 which gives you 73.39%.

We want to cover the poster with small stamps. We don't have any to begin with and we can't buy partial bags of stamps. Each bag of stamps 110.5 in covers . How many whole bags of stamps will we need to buy in order to completely cover the poster?

Answers

Answer:

2243.7?

Step-by-step explanation:

Answer:

not right i think

Step-by-step explanation:

The first term of an Ap are x, 2x +1, and 5x+1 Find
x and the sum of the
l0 terms
first

Answers

Answer:

145/2

Step-by-step explanation:

d=[2x+1-x] = [5x+1 -(2x+1)]

x+1=3x

x-3x=-1

-2x=-1

x=1/2

therefore first term is 1/2

second term is 2(1/2)+1= 2

common difference d is 2-1/2=3/2

sum of first n terms is n/2 [2a+(n-1)d] where n=10

sum of first 10 terms= 10/2[2×1/2+(10-1)3/2]

=5[1+(9)3/2] =5[1+27/2] = 5[29/2] =145/2

Jeff Bezos, who owns Amazon, has a net worth of approximately $143.1 billion (as of mid-2018). An employee in the Amazon distribution center earns about $13 an hour. The estimated lifespan of the employee is 71 years. If the employee worked 24 hours a day, every day of the year from the moment of his birth, how many lifespans would it take for him to earn wages equivalent to Jeff Bezos' net worth? Round the answer to the nearest whole number.

Answers

Answer:

Lifetimes=17,698.39

Step-by-step explanation:

The number of hours, H, in the employee's lifetime is

H=24(365)(71)=621960

At 13/hour, this is lifetime wages of

13(621960)=8,085,480

Divide this into 143,100,000,000 to get

Lifetimes=17,698.39

Note that this does NOT imply that the employee is underpaid.

For the experiment of rolling an ordinary pair of​ dice, find the probability that the sum will be less than 4 or greater than 8.

Answers

Answer:

the probability is 3/6 or 1/2

Step-by-step explanation:

A right triangle has legs e and fand hypotenuse h. The value of e = 10. The angle opposite legfis
35º. Which expression can be used to find the length of the hypotenuse?

Answers

Answer:

[tex]hyp=\frac{10}{cos(35^o)}[/tex]

Step-by-step explanation:

The trigonometric function that uses the value of the angle, the value of the adjacent side (e) and the hypotenuse is the cosine of the angle as shown below:

[tex]cos(35^o)=\frac{adj}{hyp} =\frac{10}{hyp} \\hyp=\frac{10}{cos(35^o)}[/tex]

Which fraction is greater? ​

Answers

Answer:

1/2

Step-by-step explanation:

Which of the following has the ability to line- item veto a law? A Governors b. The president C. Mayors can you help me please

Michael and Imani go out to eat for lunch.

Part A: If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill?

Part B: If Michael and Imani add an 18% tip to the bill, what does their lunch cost in total?

Answers

Answer:

Step-by-step explanation:

part=A

So, we must find out what the total bill cost is such that we begin by multiplying the price with the tax such that  $25.30(0.08) = $2.024.

Then we add the tax to the price such that

$25.30+2.024 = $27.32

In the case of adding an 18% tip,

So continuing on from the above post, $27.32 is the total after taxes. Then we add an 18% tip which is  

$27.32 (.18) = $4.92..........Then, we add it to the $27.32 to get  

$27.32 + $4.92 = $32.24 in total!

find the value of each variable using sine and cosine. round your answers to the nearest tenth​

Answers

Answer:

x=9.5 and y=15.3

Step-by-step explanation:

to find x you do sine of 32 = x/18 because the sine is opposite/hypotenuse

you put in a calculator sine (32) x 18 and get 9.538546756

so x equals 9.538546756 but it says to round to the nearest tenth so x equals 9.5

to find y you do the cosine of 32 = y/18 because cosine is adjacent/hypotenuse

cosine of (32) x 18 = 15.26486573 so you equals 15.26486573 but since you have to round to the nearest tenth y = 15.3

The value of x is 9.54.

The value of y is 15.3.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

From the figure,

Sin 32 = x / 18

Cos 32 = y / 18

Now,

Sin 32 = 0.53

Cos 32 = 0.85

Now,

0.53 = x / 18

Multiply 18 on both sides.

x = 0.53 x 18

x = 9.54

0.85 = y / 18

Multiply 18 on both sides.

y = 0.85 x 18

y = 15.3

Thus,

The value of x is 9.54.

The value of y is 15.3.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2

What is the value of y?

3
4
5
6

Answers

Answer:

Step-by-step explanation:

2y+4=10

we will subtract 4 from both sides

2y=10-4

2y=6

y=3

Answer:

3is your answer

2y+4=10

2y=10-4

y=6/2=3

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