Prove: The square of an even number is even

Answers

Answer 1
Squares of even numbers are even, and are divisible by 4, since (2n)2 = 4n2. Squares of odd numbers are odd, and are congruent to 1 modulo 8, since (2n + 1)2 = 4n(n + 1) + 1, and n(n + 1) is always even.

Related Questions

an oven has a maximum temperature of 220°c.what will it be in 2 days time​

Answers

Answer:

Well I assume 220ºC.

Step-by-step explanation:

That is the MAXIMUM temperature of the oven

During second period, Janet completed a grammar worksheet.
​She got 14 questions correct and 42 questions incorrect. What percentage did Janet get correct?

Answers

Answer: 50%

Step-by-step explanation:

75%!
she has 56 questions in total and if she gets 14 correct, that’s 1/4 of the questions. therefore, she has 3/4 (75%) wrong.

30x^8-4x^7+6x^4/-6x^3 perform division

Answers

Answer:

[tex]-\frac{x(15x^4-2x^3+3)}{3}[/tex]

Step-by-step explanation:

[tex]\frac{30x^8-4x^7+6x^4}{-6x^3}[/tex]

The first thing I would do is to factor the numerator. All coefficients there are divisible by 2, and all variables are divisible by x⁴. I'll also move the negative sign to the left.

[tex]-\frac{2x^4(15x^4-2x^3+3)}{6x^3}[/tex]

Next, you can simplify 2/6 to 1/3:

[tex]-\frac{x^4(15x^4-2x^3+3)}{3x^3}[/tex]

Finally, the last thing you can do is simplify x⁴/x³ to x/0:

[tex]-\frac{x(15x^4-2x^3+3)}{3}[/tex]

That's as simplified as it gets.

. Which equation is linear? y=xy 3 y=-y OOO y=x2-4 3x+4y=24​

Answers

3x+4y=24 since it is a straight line

Consider this expression x^2-(3x+y)+16

Answers

Answer:

x^2-3x-y+16?

Step-by-step explanation:

simplest form already, but can be converted into a proper polynomial.

x^2-3x-y+16

the difference between factors and factor pairs​

Answers

Answer:

Factors are often given as pairs of numbers, which multiply together to give the original number. These are called factor pairs. A square number will have one factor pair consisting of one factor multiplied by itself. This factor is called the square root of the given number.

The table below shows the number of classes offered at a fine arts school in New York.
Art: 45
Dance: 30
Music: 40
Theater: 35
What part-to-whole ratio represents the number of music classes offered at the school? ​

Answers

Answer:

40:140

Step-by-step explanation:

The explanation.is in the diagram above

Question 5 of 10
Which of the following lists of ordered pairs is a function?
A. (1,6), (2, 7), (4,9), (0,5)
B. (2,4), (0, 2), (2, -4), (5,3)
C. (0,2), (2, 3), (0, -2), (4,1)
O D. (1,2), (1, -2), (3, 2), (3, 4)

Answers

Answer:

A

Step-by-step explanation:

Because the x doesn't repeating

Hope it can help you lovelots

#LEARN WITH BRAINLY

Calculator
What is the measure of angle X?
Enter your answer as a decimal in the box. Round only your
answer to the nearest hundredth.
mZX

Answers

Answer:

X = 81.20º

Step-by-step explanation:

sinX = opp/hyp

sinX = 84/85

X = arcsin(84/85)

use calculator

X = 81.20º

12x-4=10x-10+30 find value of x

Answers

Answer:

12

Step-by-step explanation:

12x - 4 = 10x + 20

2x - 4 = 20

2x = 24

x = 12

Find x using the pictures below please. Will mark branliest for first reply.

Answers

Step-by-step explanation:

a) We are going g to use the definition of tangent to find x:

[tex]\tan{18°} = \dfrac{opp}{adj} = \dfrac{15}{x}[/tex]

[tex]\Rightarrow x = \dfrac{15}{\tan{18°}} = 46.2[/tex]

b) To solve this problem, we are going to use the definition of cosine:

[tex]\cos{70°} = \dfrac{adj}{hyp} = \dfrac{x}{46}[/tex]

[tex]\Rightarrow x = 46\cos{70°} = 15.7[/tex]

Convert the decimal 0.92¯¯¯ to a fraction.

Answers

Answer:

23/25 when reduced to the simplest form.

Step-by-step explanation:

write down the number as a fraction of one

0.92 = 0.92/1

so we multiply both numerator and denominator by 100

Then 0.92/1 = ( 0.92x100) / ( 1x100)

= 92/100

Now reduce the numerator and denominator by GCD between in this case

GCD ( 92,100) = 4

so, 92/ 4

100/ 4

=23/25

Kamile sells sandwiches.
In May, she sold 400 sandwiches.
In June, Kamile sold 20% more sandwiches than in May.
In July, Kamile sold 15% fewer sandwiches than in June.
Calculate the percentage change in her sales from May to July.

Answers

Answer:

b

Step-by-step explanation:

the answer is B
b is the correct answer

What must the value of B be if the following linear system has an infinite number of solutions
Y = -3x + 6
By- 9x + 18 = 0​

Answers

Condition for infinite number of solutions (coincident lines) :-

=》a₁/a₂ = b₁/b₂ = c₁/c₂

Equations :-

1) y = -3x + 6

=》y + 3x - 6 = 0

2) By - 9x + 18 = 0

Here,

a₁ = 1, a₂ = B

b₁ = 3, b₂ = -9

c₁ = -6, c₂ = 18

Now substitute..

a₁/a₂ = b₁/b₂ = c₁/c₂

=》1/B = 3/-9 = -6/18

=》1/B = -3/9 = -6/18

Now,

=》a₁/a₂ = b₁/b₂

=》1/B = -3/9 (cross multiplication)

=》1 × 9 = -3B

=》9 = -3B

=》9/-3 = B

=》-3 = B

OR

=》a₁/a₂ = c₁/c₂

=》1/B = -6/18 (cross multiplication)

=》1 × 18 = -6B

=》 18 = -6B

=》18/-6 = B

=》-3 = B

The value of B if the following linear system has an infinite number of solutions is -3.

_______

RainbowSalt2222 ☔

Patient”s wt: 60 lbs Medication order: 0.5 mg/kg Stock medication : 10 mg/mL, How many mL will you give them?

Answers

Answer:

Needs 13.6077 mg/mL, but they have in stock only 10 mg/mL, so will be short 3.6077 mg/dL.

Step-by-step explanation:

1 lb= 0.45359 kg

60lbs converted to kg= 60lb = 27.2154 kg

Medication order 0.5 mg x kg = 0.5 mg x 27.2154 kg = 13.6077 mg/mL

In stock only 10 mg/mL= 13.6077 mg/mL - 10 mg/mL= 3.6077 mg/mL

Will be short 3.6077 mg/mL

16. In April, Harry received his phone bill and found that he was charged $40 for 120
minutes of talking. In May, Harry received his phone bill and found that he was
charged $50 for 140 minutes of talking
Part A: Find the rate that Henry is charged for each minute of use.
a. $2 per minute
b. $1 per minute
C. $5 per minute
d. $0.50 per minute
Part B: Describe an equation in point slope form for calculating the cost (y) based on
minutes of use (x)

Answers

Step-by-step explanation:

A. Take two pairs of points:

(120, 40) and (140, 50)

Find the rate of change:

(50 - 40)/(140 - 120) = 10/20 = 0.5

This is the rate, $0.50 per minute

B. Take one pair of points (120, 40) to show the relationship between number of minutes and the cost:

y - 40 = 0.5(x - 120)

Solve 9x - 5 = 9x - 5. How many solutions does the equation have?
Show your work.

Answers

9514 1404 393

Answer:

  an infinite number

Step-by-step explanation:

Subtract 9x -5 from both sides.

  (9x -5) -(9x -5) = (9x -5) -(9x -5)

  0 = 0

This is true for all values of x. There are an infinite number of solutions.

_____

Additional comment

When you subtract one side of the equation from the other, there are three possible results:

ax +b = 0 . . . . (a≠0) one solution (x = -b/a)1 = 0 . . . . . . . . no solutions--not true for any value of the variable0 = 0 . . . . . . . infinite solutions--true for every value of the variable

.Evaluate the radical expression 256−−−√4. Enter your answer as a whole number, like this: 42

Answers

Answer:

254

Step-by-step explanation:

First get the square root of 4 and that is 2. Then minus it in 256 and you will get 254.

Hope it can help you lovelots

The solution to the radical expression 256-√4 will be 254.

What is a radical expression?

An expression with the radical (√) symbol is referred to as a radical expression in mathematics. Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given radical expression will be solved as below:-

256-√4 = 256 - 2

             = 254

Therefore, the solution to the radical expression 256-√4 will be 254.

To know more about radical expression follow

https://brainly.com/question/1601861

#SPJ5

A basket containing 150mangoes cost 450 find the selling price of an orange if it is to be sold at a profit of 5%

Answers

Answer:

The selling price cost 472.5

Step-by-step explanation:

Let's find the profit first.

To find that, let's turn 5% to decimal form.

5 % = 0.05

Then, lets multiply it to the initial price which is 450

450 * 0.05 = 22.5

So the profit costs 22.5

Now, let's add the profit to the initial cost to find the selling price

450 + 22.5 = 472.5

That's it.

I NEED HELP ASAP NO LINKS

Answers

Answer:

d =  y = 4.25x

correct answer i would say.

Step-by-step explanation:

Cheddar cheese cost 4.25 per pound . This means the cost of cheddar cheese is 4.25 for every pound in weight. Assuming we put a currency to the value we can say 1 pound of cheddar cheese is equals to 4.25 dollars($4.25). Mathematically, it can be represented as  

4.25 is the cost for 1 pound of Cheddar cheese

Let the cost of the equation be y as required from the question.

y = cost of the cheddar cheese

x is the weight value in pounds of the Cheddar cheese.

The equation can be best represented as

y = 4.25x

In the equation above if the amount in pounds is 3 pound . the value will be inputted for x and the cost will be gotten which is y.

hope this helped!

mark me brainliest :D

Help help help help help help help help help

Answers

Answer:

A'(-2,3) B'(-1,1) C'(-4,0)

Step-by-step explanation:

Translating just means adding whatever numbers to each coordinate. Point A translated from (3,0) to (-2,3) because 3-5 is -2 and 0+3 is 3.

THE SIDES OF A TRIANGLE ARE IN THE RATIO 4:4:3. A.WHAT KIND OF TRIANGLE IS IT? B. CALCULATE THE SMALLEST ANGLE OF THE TRIANGLE TO THE NEAREST DEGREE.

Answers

Answer:

1

Step-by-step explanation:

How many sides does a polygon have if the sum of the measures of its interior angles is 4,140?​

Answers

Answer:

25

Step-by-step explanation:

180(s-2)=4140

180s-360=4140

add 360 to both sides

180s=4500

divide both sides by 180

s=25

hallar una ecuacion de la parabola cuyo foco es (-2,2) y cuya directriz es = -8

Answers

The equation of the parabola whose focus is (-2,2) and whose directrix is x​= -8 is [tex](y+2)^2=-20(x+5)[/tex]

The standard formula for finding an equation of a parabola is expressed as [tex]y^2=4ax[/tex]

If the curve is shifted to the left and down, the equation becomes [tex](y-k)^2=4a(x-h)[/tex] where:

(h, k) is the vertex of the parabola

If the focus is at (-2, 2) and the directrix is at x = -8, the equivalent vertex of the parabola will be at (-5, -2) and the midpoint between the vertex and directrix is at a = -5

Substitute these values into the formula of the parabola.

[tex](y-k)^2=4a(x-h)\\(y-(-2))^2=4(-5)(x-(-5))\\(y+2)^2=-20(x+5)\\[/tex]

Hence the equation of the parabola whose focus is (-2,2) and whose directrix is x ​​= -8 is [tex](y+2)^2=-20(x+5)[/tex]

Learn more here: https://brainly.com/question/7243813

Which humanist idea was inspired by ancient Greeks and Romans?
O The government should protect the rights of citizens.
O People should have a say in how their churches are run.
O Formal education is the best way to improve people's lives.
O People can understand the world by using logic and reason to study it.

Answers

Answer:

the answer is c

Step-by-step explanation:

its the right answer lol

Answer:

(C) Formal Education is the best way to improve people's lives

Personally I thought it was (D) but now that I think about it...well yeah

What is the next number in the pattern

8.72, 8.52, 8.32 …

Answers

Answer:

3333

Step-by-step explanation:

3333

Answer:

8.12

Step-by-step explanation:

Because 0.20 is reduced after each number

8.72-0.20= 8.52

8.52-0.20=8.32

8.32-0.20=8.12

unicorn a is 4 times older than unicorn b.The sum of their ages is 1.450.

Answers

Answer:

Unicorn a : 1,160, and Unicorn b : 290

Step-by-step explanation:

We can make this an equation

Unicorn a is 4x

Unicorn b is x

4x + x = 1,450

x = 290

Unicorn a : 4•290= 1160 years old

Unicorn b : is 290 years old

3(x-4)-(2x+8) simplify

Answers

Answer:

x-20

Step-by-step explanation:

check a math app if u want to see


problem referred below

Answers

Answer:

Step-by-step explanation:

(f/g)(-4) = (-4² - 13) / (4 - (-4)) = 3/8

This morning, Megan and her dad had smoothies for breakfast. Megan made her smoothie with 1 cup of mango and 3 cups of strawberries. Her dad made a giant smoothie with 2 cups of mango and 6 cups of strawberries. Did the smoothies have the same ratio of mango to strawberries?

Answers

Answer:

Yes.

Step-by-step explanation:

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