prove each statement using a proof by exhaustion. (a) for every integer n such that 0 ≤ n < 3, (n 1)2 > n3.

Answers

Answer 1

To prove the statement "for every integer n such that 0 ≤ n < 3, (n+1)2 > n3" by exhaustion, we can simply check all values of n between 0 and 2 inclusive.

For n = 0, we have (0+1)2 = 1 > 0 = 03, which is true.

For n = 1, we have (1+1)2 = 4 > 1 = 13, which is also true.

For n = 2, we have (2+1)2 = 9 > 8 = 23, which is once again true.

Since the inequality holds for all values of n between 0 and 2 inclusive, we can conclude that the statement is true for all integers n such that 0 ≤ n < 3.

To know more about exhaustion equation , refer here :

https://brainly.com/question/27682487#

#SPJ11


Related Questions

Round to the nearest tenth.

x=

y=

Answers

I could be wrong but I’m pretty sure x≈102.2 and y≈58

f(x) = 3(x + 1)^2 − 27. Which two equations also represent function f?
1: f(x) = 3x2 + 2x − 26
2: f(x) = 3x2 + 6x − 24
3: f(x) = 3x2 − 24
4: f(x) = 3(x + 4)(x − 2)
5:f(x) = (3x + 4)(x − 8)
6: f(x) = 3(x + 12)(x − 2)

Answers

To much math but I tried to answer it and it’s 5 or 4 or 6

what sin40? round to the nearest hundredth place

Answers

Answer:

i don't know  just ask the internet

Answer:

0.75

Step-by-step explanation:

original answer: 0.74511316047

Can someone help me with these 2 problems thank you

Answers

Answer:

For question 6 there are 3 steps, and for question 7 there are 2 steps

Step-by-step explanation:

Question 6:

step 1. 89 x 2=178

step 2. 89 x 3=267

step 3. 267 + 178=445

Question 7:

step 1. 35 x 3= 105

step 2. 25 x 5= 12

Your're welcome :)

Find the 11th term of the following sequence:-8, 24, -72,....

Answers

Answer:

125

Step-by-step explanation:

Its pretty simple

I need help quick I'll give brainliest!

Answers

Answer:

I'm pretty sure its a bridge, hopefully that's right <3

Step-by-step explanation:

what is the answer for 2x=7

Answers

Answer:

x=3.5

the answer is 3.5 because 7 divided by 2 is 3.5

Which set of ordered pairs is linear? A. {(2, 1), (5, 1), (6, 1)} B. {(–1, 4), (0, 0), (1, 6)} C. {(–3, 5), (1, 0), (2, 4)} D. {(0, 0), (1, 3), (2, 7)}

Answers

Answer:

merhaba ben yeni geledimde adın ne

Which is greater 2.6 or 2.65 ?

Answers

Answer:

2.65 is greater than 2.6

Step-by-step explanation:

if 65 is greater than 60 than 2.65 is greater than 2.60

Answer:

2.6 > 2.65

Step-by-step explanation:

(8x +3) + (-6x +11)
Cebirsel iladerin terim Soyisini
Sabit terimini bulalum​

Answers

Answer:

2x^2+85x+13

Step-by-step explanation:

I did not knew what you wanted, but I think this is what you wanted.

Use the figure to find the measures of the numbered angles. ∠3 = ∘ ∠4 = ∘

Answers

Answer:

Step-by-step explanation:

∠3=95 (corresponding angle)

∠4=180-95

    =85

Which perfect squares does the number 73 falls in between?

Answers

Answer:

64 and 81

Step-by-step explanation:

8×8=64 and 9×9=81. 73 falls between these two numbers.

1. The fare of 12 kg of luggage for a distance of 36km is 24 rupees
How much fare will be charged for a luggage of 18kg for a distance
of 12km?​

Answers

Answer:

16 rs maybe not sure sry if wrong

Select the correct answer.
The surface area (SA) of a cube with a as the length of each of its sides is given by the formula SA = 6a2. If the surface area is known, how can
you rewrite the formula to find its side?
ОА va
OB. VSA
OC a = $
OD. =

Answers

Answer:

(A). [tex]\sqrt{\frac{SA}{6} }[/tex]

Step-by-step explanation:

I NEED HELP PLZ HELP ME

Answers

Answer:

a) 50+10p

b) 30+12p

c) 10 pies

d) $150

Step-by-step explanation:

The answer to this question is B

PLEASE PLEASE, ANSWER ASAP

Answers

Answer: 16

Step-by-step explanation: 16 is how much the breaking pad is produced per hour because if you divide all of them you get 16 for each of them on the table

PLEASE HELPPPPPPPP I BEGGGG YOU

Answers

Equal. 4 and 5/5 is just 4 + 1, which is 5. 20/4 is also 5.

Find the missing side of the triangle. Round to the nearest tenth.
A) 5.5
C) 14.1
B) 12.7
D) 9.5

Answers

5.5 because In front of a 30 degree angle is a cathete of half of Hypotenuse.

Please answer this question

Answers

y=3x-3

y=mx+b
m: slope, the line goes up 3 and over 1 so the slope is 3/1 which is 3
b: y intercept, the line crosses the y axis at -3 so b is -3

in the product rule for exponents, what do you do to the coefficients? what do you do to the exponents?

Answers

Answer:

Do not multiply the coefficients and the exponents. Remember, using the Product Rule add the exponents when the bases are the same.

In the product rule of the exponents,

''For same base we can add the exponents of the coefficients.''

What is mean by expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Solve expression by using the product rule for exponents.

Now, We know that;

In the product rule for exponents;

When expression have same base then its exponents are add and the coefficients of expression are written as same as write in expression

Hence, In the product rule of the exponents,

''For same base we can add the exponents of the coefficients.''

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

if anyone is able to help please do :)

Answers

Answer:

49.12?

Step-by-step explanation:

half circle= 4 squared *3.14/2=25.12

triangle=pythagorean theorem to find h=8. 8*6/2= 24

25.12+24=49.12

please help me with this problem

Answers

Answer:

vitamin c is the independent variable

Step-by-step explanation:

the amount of vitaman c dose not change but the amount of oranges eaten can change

Adult tickets to a play cost $22 tickets for kids cost $15. Tickets for a group of 11 cost a total of $228. How many children and how many adults went to the play?

Answers

Answer:Number of children = 2 and number of adults = 9 attended the play

Step-by-step explanation:

Step 1

Let the  number  of children be represented as  x

and the number of adults in the group  be represented as  as y

such that the total number of the group that went to the play

= x+y=11--- equation 1

And the total cost paid for the play will be expressed as

15x+  22y= 228------ equation 2

Step 2-- Solving

x+y=11--- equation 1

15x+  22y= 228------ equation 2

B y elimination method, multiply equation 1 by 15 to give equation 3  and then subtract from equation 2

15x+  22y= 228------ equation 2

15x+15Y= 165----- equation 3

7y=63

y= 63/7= 9

y= adults = 9

therefore x = number of children will be

x+y=11

x+ 9=11

x= 11-9= 2

In the group that attended the play,  Number of children = 2 and number of adults = 9

An ice cream company fills containers with 64 ounces of ice cream. The acceptable percentage of error in filling each
ice cream container is 1.5%.
Select all the expressions that could be used to find the greatest number of ounces of ice cream each container can
hold.
64(1.15)
64(1.015)
64(1.5)+64
64-64(1.5)
64(0.015)-64
64+64(0.015)

Answers

Answer:

64(1.015)64+64(0.015)

Step-by-step explanation:

The target number is 64 and the error is 1.5%

Possible number is

64 ± 1.5% of 64 = 64 ± 0.015*64

The top limit is:

64 + 64(0.015) or64*(1.015)

Correct choices are B and F

64(1.015)

and

64+64(0.015)


If an object is dropped from 100 feet in the air and air resistance is ignored, the object will fall at a rate that can be modeled by the function h(t) = -16t? + 100. After how many seconds is the object 20 feet from theground?

Answers

every foot is a second hope that helps

Solve for angle b and c

Answers

46 degrees for both b and c

Answer:

46 degrees for both b and c

Step-by-step explanation:

the vertical angles postulate means that the opposite angle must be the same, so 134*2=268

since all angles must be 360, subtract 268, which is 92

using the vertical angles again, b and c are the same, and the sum must be 92

92 divided by 2 is 46

Neil has 2 pounds of grapes. He uses some to make a fruit salad. Now Neil has 8 ounces of grapes. How many ounces of grapes does Neil use for the fruit salad?

Answers

Answer:

Neil uses 24 ounces of grapes for the fruit salad.

Step-by-step explanation:

Quantity of grapes = 2 pounds

Use 1 pound = 16 ounces

So,

Quantity of grapes = 2(16) = 32 ounces

Neil uses some grapes to make a fruit salad. Now Neil has 8 ounces of grapes.

Quantity of grapes that Neil use for the fruit salad = [tex]32-8=24[/tex] ounces

Therefore,

Neil uses 24 ounces of grapes for the fruit salad.

What is the solution of the system of equations?

=13+2−+3=6

Answers

Answer:

=13+2-+3=12 that what I take as a answer

Answer:

12=6

Step-by-step explanation:

well i evaluated it, snd thats what i got

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x - y = 4

Answers

Answer:

مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك

Step-by-step explanation:

The slope of a line is -5 and its y-intercept is 8. Discuss how you will write the equation in the slope-intercept form

Answers

Step-by-step explanation:

slope-intercept form : y = mx + b

m = slope

b = y intercept

y = -5x +8

Other Questions
hydrogen gas is collected by downward displacement of water why Write the expression in expanded form (1 + 3b)(6) Cody and Jordan were selling Flamin' Hot Cheetos to raise money for the Tornados. Cody sold 5 bags of Cheetos for every 3 bags Jordan sold. Together they sold 160 bags total. How many bags did each boy sell? please answer correctly and quickly Martina is arrested for a crime and refuses to take the witness stand at his or her trial. Which amendment(s) does this law involve?Is this law constitutional? In other words, does this law violate the amendment? If so, it is unconstitutional. If not, it is constitutional.Why or why not? Be sure to cite textual evidence from the amendment. Can someone help me please. I have to show my work. how can you find the charge on po4 Elizabeth and McKenna are going to the county fair on free student admission night. Elizabeth and McKenna will be able to get in the fair for free however the fair charges $2 per ride. The girls want to know how many ride they can ride and how much will it cost them. Whats the independent and dependent variables ?!?!! PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. IM GIVING 40 POINTS !! DONT SKIP :((. Calculate number of g H3PO3 formed from 53.6 g H2O react with excess PCl3? PCl3 + H2O HCl + H3PO3 How many solutions does this equation have?4v = 6v 2vno solutionone solution Infinitely many solutions Which of these is a density-independent factor?A. Forest fireB. Food sourceC. ShelterD. Water supply b-3/15=1 What does b equal?? For the questions below, include units if applicable. If necessary, use a separate sheet of paper for 1, 6c and 7c. Tire pressure is in part a function of the temperature of the tire. 1. Based on everyday experience, state (in words) the relationship between tire pressure and temperature. Look at the data below and see if the numbers support your statement. 2. Prepare a hand-drawn plot of the two variables on the reverse side of this worksheet. Include a title, axis labels (with units), and a trendline. Estimate the tire pressure when the temperature is 18.6C: Estimate the temperature of the air in the tire when the pressure is 37.0 psi: 3. a. Prepare a plot using graphing software. Include a title, axis labels (with units), the equation of the best-fit Line and the R? value on the graph. b. Re-write the equation of the best-fit line substituting "Temperature" for x and "Pressure" for y directly on the graph. c. Attach the fully labeled graph to this worksheet. 4. What is the value of the slope for the relationship between temperature and pressure? 5. Determine the percent error using the definition of percent error: Use 0.145 psi/" for the "Actual" value of the slope. %error = Actual-Experimental % Error Actual 6. Based on your computer-generated graph, a. visually estimate the tire pressure when the temperature is 18.6C: b. calculate the tire pressure at this temperature using the equation of the best fit line: the graph to ensure that this value is reasonable. c. compare the calculated pressure to the two visually interpolated values (Steps 2 and 6a). Comment on any discrepancies. 7. Based on your computer-generated graph, a. visually estimate the temperature of the air in the tire when the pressure is 37.0 psi: b. calculate the temperature of the air in the tire at this pressure: Use the graph to ensure that this value is reasonable. c. compare the calculated temperature to the two visually interpolated values (Steps 2 and 7a). Comment on any discrepancies. Data: Temperature (x) Tire Pressure, psi (y) 12.9C 3.39 x 10 15.4C 34.25 -2.10 F 2.68 x 1019.5 C 3.50 x 10 29.6 'F 36.53 17There are 510 calories in 100 g of Twix.There are 45 calories in 100 g of Coca Cola.Lionel has 60 g of Twix and 140 g of Coca Cola for a morning snackWork out the total number of calories in this morning snack. Bonjour svp jai besoins daide!! Contraction de texteCONSIGNESAprs la lecture du texte ci-dessus, vous procderez sa contraction.L'extrait contenant 1 107 mots (hors titre), votre rsum devra compter de 250 308 mots, soit un quart dutexte d'origine (avec une marge de plus ou moins 10 %). Describe the images per set. What have you observed with those images? A flexible container is filled with He(g) to a volume of V1 at a temperature of 150K. The container is then heated at constant pressure to a temperature of 300K. What is the final volume of the container?a. V1/3b. V1/2c. V1d. 2V1 4 _ (3 _ 2) _ 6 _ 1 = 14 Please help ill give you brainly! 10. Alice Nako's monthly credit card statement has a previous balance of$307.85. It shows Alice's $40.00 payment. This month's new purchaseswere $9.50 and $41.75. The account posted a $23.75 credit, and thefinance charge is $4.62. what is the new balance ?!