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.

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Related Questions

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

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.

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

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

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

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:

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:

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.''

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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.

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

Round to the nearest tenth.

x=

y=

Answers

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

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

Answers

Answer:

125

Step-by-step explanation:

Its pretty simple

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

(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.

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

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)

PLEASE HELPPPPPPPP I BEGGGG YOU

Answers

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

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

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

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

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:

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 :)

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


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

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:

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

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

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

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