Use induction to prove that 2 divides n^2 n whenever n is a positive integer

Answers

Answer 1

Answer:

that's wrong

Step-by-step explanation:

for n = 1

n^(2n)=1²=1

and 2 doesnt devide 1


Related Questions

Find the value of cos⁻¹ (cos7π/6).

Answers

Answer:

5π/6

Step-by-step explanation:

Given :

cos⁻¹ (cos7π/6)

Solving :

We know that : cos⁻¹ cosθ = θBut we can't just do that in this caseBecause the range of cos values is [0, π]Clearly, our value does not lie in this rangeWe have to take a different Quadrant other than the 3rd Quadrant which gives cos a negative valueThe 2nd Quadrant also has cos values negativeTherefore,cos⁻¹ cos (π - π/6)cos⁻¹ cos (5π/6)⇒ 5π/6 ∈ [0, π] ⇒ It lies in the range!

Answer:

5π Over 6

Step-by-step explanation:

You can write  7π6 as (π+π6)Thus we can clearly see the angle falls in the third quadrant. And the cosine value in third quadrant is always negative. Hence, cos(π+π6)=−cos(π6)coming back to the question cos−1[cos(7π6)]=cos−1[−cos(π6)]=π−cos−1[cos(π6)]=π−π6=5π6

Nathan was asked to determine the quotient of 10 and 1/7. He claims that the quotient is 70. Which expression below could Nathan simplify to explain how he know his answer is right
A) 70 +1/7
B)10 +70
C)10 x 1/7
D) 70 x 1/7

Answers

Answer:

D

Step-by-step explanation:

The quotient is the result of dividing one number by another.

[tex]\frac{10}{\frac{1}{7} } = ?[/tex]

is how you would represent the quotient of 10 and 1/7.

The opposite of division is multiplication, and those we can rearrange that and get:

[tex]? * \frac{1}{7} = 10, or, ?/7 = 10[/tex]

or in other words, "what number divided by 7 is 10"

The answer becomes clearer, 70 is that number.

D represents this idea.

Originally, a department store bought a set of dishes at a cost of $57.68 and marked it up 125%. After a month, the set of dishes had not sold, so the store marked it down 50%. What was the discounted price?

Answers

Answer:

$64.89

Step-by-step explanation:

57.68 + 1.25 × 57.68

= 57.68 + 72.1

= 129.78

The original price was $129.78.

129.78 – 0.50 × 129.78

= 129.78 – 64.89

= 64.89

The discount price was $64.89.

Find the value of d that makes line m ll n

Answers

Answer:

x = 45.

Step-by-step explanation:

The angle between the shorter line and line n is 90 degrees, so

2x must be 90 degrees for m and n to be parallel.

x = 45.

A plane takes off from an airport at an angle of 14.5°. If the plane is traveling at a velocity of 220 feet per second, how high off of the ground is the plane at 10 seconds?

Answers

The distance of the plane travelling at 220 feet per second off the ground is 151.71feet

How to calculate the maximum height of an object

Maximum height of the plane is expressed as:

[tex]M=\frac{u^2sin^2\theta}{2g}[/tex]

u  is the velocity = 220ft/s

θ is the angle of elevation = 14.5°.

g is the acceleration due to gravity

Substitute

[tex]M=\frac{u^2sin^2\theta}{2g}\\M=\frac{220^2sin^2(14.5)}{2(10)}\\M=151.71feet[/tex]

Hence the distance of the plane off the ground is 151.71feet

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Option a to buy a house has a monthly cost of 618 dollars, up-front cost of 24,000 dollars, and advantages of a home equity and a yard for a pet. option b to rent close to work has a monthly cost of 950 dollars, up-front cost of 1,900, and advantages of convenient location, garage, and pool. option c to rent further out has a monthly cost of 600 dollars, up-front cost of 1,200, and advantages of 2 bedrooms, light-rail, and pool. which housing choice fits within your recommended monthly budget of $650-780? which option requires you to have at least $24,000 saved?

Answers

Option c is the best option that can be recommended since it has the least total cost for a year.

What is the up-front cost?

An upfront cost is an initial sum of money owed in a purchase or business venture.

Option a:

Monthly cost = $618

Up-front cost = $24000

Total cost for a year= 618*12+24000 = $31416

Option b:

Monthly cost = $950

Up-front cost = $1900

Total cost for a year= 950*12+1900= $13300

Option c:

Monthly cost = $600

Up-front cost = $1200

Total cost for a year= 600*12+1200= $8400

Therefore, option c is the best option that can be recommended since it has the least total cost for a year.

To get more about upfront costs visit:

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Answer:

1st question is A and C only, 2nd question is A only

Step-by-step explanation:

Got it right on edge. Have a great day :)

John bought a crate of floor tiles $100. the crate had 5 boxes of floor tiles. each box contained 40 floor tiles. what is the cost per box ?

Answers

Answer:

20

Step-by-step explanation:

100/5=20

Abby practiced her horn for 3/4 of an hour every day for 12 days?
a) How many hours did she practice in those 12 days?

b) How many minutes did she practiced in those 12 days?

Answers

Answer:

9 hours, 540 minutes

Step-by-step explanation:

12 x 0.75 = 9

Math homework pls help!!!

Answers

Answer:

17.8

Step-by-step explanation:

The power ands the square root cancel out.

What is x in this equation -3x+7 = 1

Answers

the answer is x=2 because you have to subtract 7 on both sides so you get -3x=-6 then to get x alone you have to divide by -3 because a negative and a negative divided together makes a positive so you divide -3 to both sides and you get x=2

michael is driving to his mother house after 1 hour and 45 minutes he is two-thirds of the way there At this rate how many total hours will it take michael to drive hsi mothers hosue

Answers

Using proportions, it is found that it will take Michael 2.625 hours to drive to his mother's house.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In 1 hour and 45 minutes, which is equivalent in hours to [tex]1 + \frac{3}{4} = \frac{7}{4}[/tex], he is two-thirds of the way. How long it takes him to reach 100% = 1 of the way? The rule of three is given by:

[tex]\frac{7}{4}[/tex] hours - [tex]\frac{2}{3}[/tex] way.

x hours - 1 way

Applying cross multiplication:

[tex]\frac{2}{3}x = \frac{7}{4}[/tex]

[tex]2x = \frac{21}{4}[/tex]

[tex]x = \frac{21}{8}[/tex]

x = 2.625.

It will take Michael 2.625 hours to drive to his mother's house.

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How much is 75% of 10 liter of milk?

Answers

Answer:

7.5 liters of milk

Step-by-step explanation:

Multiply 10 by 0.75

Hope that helps!

A median drawn to a side of a triangle is
Select one:
O a. a ray
O b. a segment
O c. a line

Answers

Ima say B a segment

Part B Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. Keep the square 4 and square 5 window open. You will need them to complete the rest of the tasks in this section. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?

Answers

The 4 sides of a square are usually the same and the side length of squares 4 and 5 is a+b.

How to explain the square?

From the diagram, each side is called the side length. Therefore,

Side length of square 4 = a + bSide length of square 5 = a + b

If the side lengths are equal that is (a + b), then the area which is the square of the side length will also be the same.

Learn more about square on:

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4x — 3 = 6х - 7
i need it now

Answers

Answer:

x = 2

Step-by-step explanation

4x - 3 = 6x - 7

     +7          +7      Adding seven so we can isolate on the Xs

4x + 4 = 6x

-4x         -4x             Once again, trying to isolate the X

4 = 2x

/2x                 Divide by 2

2 = x

What value completes this expression?

4m + ____m = 4m (1 + 6)

Answers

Answer:

24

Step-by-step explanation:

4(1)m + 4(6)m

= 4m + 24m

Thomas lives more than 0. 55 km and less than 0. 75 km from his school.

Thomas lives from his school?

A. 0. 06 km

B 0. 50 km

c. 0. 60 km

D. 1. 30 km

Which choice could be the distance Thomas lives from school?

Answers

Answer:

D. answer po

Step-by-step explanation:

Tama yan na D

If you can help me that would be great the instructions are to factor these polynomial Don’t answer just to get pointsNO LINKS!!!!!!!!!!!

Answers

Answer:

3. 3(x+y)(x-y)

4. (y²+4)(y+2)(y-2)

5. 2(3x+1)(x+2)

Step-by-Step:

3. 3(x²-y²) = 3(x+y)(x-y)

4. y⁴-16 = (y²+4)(y²-4)= (y²+4)(y+2)(y-2)

5. 6x²+14x+4 = 2(3x²+7x+2) = 2(3x+1)(x+2)

PLEASE RATE!!! I hope this helps!!!

If you have any question comment below

(I have verified my answers on an online calculator)

A river 3 m deep and 40 km wide is flowing at the rate of 2 km/h. How much water will fell into the sea in a minute?


Please answer ​

Answers

Answer:

The answer is 4000 m³

Step-by-step explanation:

Given;Depth of river (h) = 3mWidth of river (b) = 40mRate of water flow = 2 km/hour To Find;We have to find out how much water will fall into the sea in a minute.

Now,

Rate of water flow = 2 km/hour

= 2000m/60min

= 100 m per min

Now, Volume of water flowed in 1 min,

= (100/3) × 40 × 3 = 4000m³

Thus, 4000 m³ of water will fall into the sea in a minute.

is x – 4 a factor of P(x) = x^4 - 4x^2 – 4x + 8 ? Explain.​

Answers

Answer:

 (x3 - 2x2 - 4) • (x + 2)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((x4) -  22x2) -  4x) -  8

STEP

2

:

Checking for a perfect cube

2.1    x4-4x2-4x-8  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x4-4x2-4x-8

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x4-8

Group 2:  -4x2-4x

Pull out from each group separately :

Group 1:   (x4-8) • (1)

Group 2:   (x+1) • (-4x)

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x4-4x2-4x-8

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -8.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,8

I need actual help on this.

Answers

Answer:

the average rate of change is D. -4

Find the pair of acute angles that corresponds to the solution of the equation sin(3x + 11)° = cos(–3x + 79)°

Answers

Answer:

x = 8

Step-by-step explanation:

3x + 2 + 7x + 8 = 90

10x + 10 = 90

10x = 80

x = 8

Complete the table.
Milkshakes Cost

Answers

Answer:

3 milkshakes will cost 0.75 cents

4 milkshakes will cost $1.00

Step-by-step explanation:

3 x 0.25 = 0.75

4 x 0.25 = 1.00

Have an amazing day!!

Please rate and mark brainliest!!

What is f(4) for the function f(x) = 2x + 5?
f(4) =

Answers

Answer:

f(4) = 13

Step-by-step explanation:

f(4) = 2(4)+5
f(4) = 13

Answer:

13

Step-by-step explanation:

f ( x ) = 2x + 5

To find : f ( 4 )

f ( 4 ) = f ( x )

Here,

x = 4

So,

f ( 4 ) = 2 ( 4 ) + 5

        = 2*4 + 5

        = 8 + 5

f ( 4 ) = 13

Figure ABCDEF is a regular polygon. What is the measure of cdq?

Answers

Answer: 60

Step-by-step explanation: first do 6-2 and multiple that by 180 after that your going to divide that by 6 u end up with 120 after subtract 180-120 = 60 .

Name any two timber plans found in the Terai region of Nepal? Where is Red panda found? Why is it called an endangered bird?​

Answers

Step-by-step explanation:

red Panda is found in langtang national park and makalu-barun national park in Nepal .

timber planks for in the religion of Nepal sal, sissoo& Khair.

I'm injured birds are any bird fishing that is at risk of extinction because of a sudden rapid increase in population or a loss of its critical habitat .

Maria creates a new board game. Her board game uses toothpicks as game pieces. Each board game requires 10
toothpicks. If Maria has 62 toothpicks, how many of her board games will she be able to put together?

Answers

Answer:

  6 games

Step-by-step explanation:

The number of games can be found by determining the number of groups of 10 Maria can make.

 62/10 = 6.2

Maria can make 6 groups of 10 and will have a fraction of a group left over. Maria will be able to put together 6 of her board games.

8. Michelle has 0.5 pound of red peppers
and 0.50 pound of green peppers.
Which number sentence correctly
compares the amounts of red and
green peppers that Michelle has?
A 0.5 = 0.50
B 0.5 > 0.50
C 0.50 > 0.5
D 0.50 <0.5

Answers

Answer:

A 0.5 = 0.50

Step-by-step explanation:

The amount of green and red papers are actually equal because green paper is 0.50 and red is 0.5

These two are equal.

In a decimal it doesn't matter if you but 0 after the number, it matters when you but it before the number, because then the value will decrease

100 BRAINLY POINTS!!!

The scatter plot below shows the association between two variables.


Which two variables are most likely to have the association displayed by the scatter plot?

A. An animal's height and the number of legs it has.

B. The day of the month on which a person was born and the person's height.

C. The number of hours a person works and the amount of tips the person earns.

D. The number of hours a person spends studying and the number of hours the person spends doing
other activities.

HURRY CUH PLS

EXPLAIN YOUR ANSWER
SHOW YOUR WORK

Answers

Answer:

C

Step-by-step explanation:

This is a very interesting question,

Let's start off by determining what kind of function this is,

by looking at the graph we can say this is an almost linear function. So the correlation between the 2 values must be that if one increases the other increases according to a certain ratio which is our slope.

We want to eliminate wrong answers.

A. Does it make sense that an animal acquires more legs the taller it is?

This doesn't make any sense so A is out.

B. This is like saying, if i'm born in august i must be a good manager. There absolutely no correlation with the month you're born in, to your height.

So B is out.

C. Thus might actually make sense, the more you work, the more tips you make.

D. So basically here i'm saying is, the more i study the more activities i can do? this would be logical if the function were to be a line with a negative slope or "a decreasing line" or a "line going down". But this is not the case.

D is out.

so C must be our answer

classify these polynomials based on the degree and number terms 3x^2

Answers

Answer:

3x² is "monomial" according to the number of term(s) and "Quadratic" based on degree

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