Prove algebraically that the square of any number is always 1 more than a multiple of 8

Answers

Answer 1

Answer:

This is interesting but I don't think it's provable (unless it's just the square of odd numbers).

3² = 9, which is 1 more than a multiple of 8  (8)

4² = 16, which is not 1 more than a multiple of 8  (8)

5² = 25, which is 1 more than a multiple of 8  (24)

6² = 36, which is not 1 more than a multiple of 8  (32)

7² = 49, which is 1 more than a multiple of 8  (48)

8² = 64, which is not 1 more than a multiple of 8  (64)

9² = 81, which is 1 more than a multiple of 8  (80)

10² = 100, which is not 1 more than a multiple of 8  (96)


Related Questions

can someone check my answer and make sure it is correct??

Answers

Answer:

I worked it out and got 19339.64 but there is a high chance I could be wrong so maybe your right.

Hey can you help me fast!!! I will give brain list if the answer is right!

Answers

Answer:

Exact form:

-165/16

Decimal Form:

-10.3125

Mixed number Form:

-10 5/16

Answer:

-165/16

Step-by-step explanation:

= -5(2 1/16)

= -5(33/16)

= -165/16

What is the area of triangle ABC in the simplest terms?

Answers

I chose C... as the answer

Huilan's age is two times Thomas's age. The sum of their ages is 21 . What is Thomas's age?

Answers

Answer:

Thomas age is 7

Step-by-step explanation:

X + 2x =21

3x=21

x=7

Which expression is equivalent to 4 + 2(1 + 3x)? A 24x
B 6 + 6x
C 4 + 8x
D 6+18x



no links please​

Answers

Answer:

The answer to this is option B

X - 2y = -3
2x + y = -1

Answers

Answer:

y = 1

x = -1

Step-by-step explanation:

x - 2y = -3, then x = 2y - 3

2x + y = -1

substitute for x:

2(2y - 3) + y = -1

4y - 6 + y = -1

5y = 5

y = 1

x = 2 - 3 = -1

Answer:

it can only be simp[lified

so it will be

(x+2x)+(y+2y)=-3-1

3x+3y=-4

cannot be solved further

Step-by-step explanation:

What is the ratio for sin A?


3/4
3/5
4/5
4/3

Answers

4/5. I was doing math assignments like this earlier and remember how to do this. If you need more help on this let me know.

The vertices of ΔJKL are J(–3, –2), K(1, 4), and L(4, 2). Which coordinate pairs are vertices of D5(ΔJKL)? Select all that apply.

Answers

Answer:

J' = (-15, -10)

K' = (5, 20)

L' = (20, 10)

Step-by-step explanation:

Given the coordinates J(–3, –2), K(1, 4), and L(4, 2)

D5(ΔJKL) means we need to dilate the coordinates by a constant of 5

To do that, we will multiply the coordinates by a value of 5

D5(ΔJKL)

J' =  (5(–3), 5(–2)),

J' = (-15, -10)

K' = (5(1), 5(4))

K' = (5, 20)

L' = (5(4), 5(2))

L' = (20, 10)

what is 1 1/3 times 1 3/4 T-T

Answers

Answer:

The answer is: 7/3 or if ya want it simplified ( 2 1/3)

~ hope this helped, have a gr8 day/ night my friend!~

Step-by-step explanation:

Answer:

2 and 1/3

Step-by-step explanation:

A car motercycle leaves at noon from the same location, heading in the same direction. The average speed of the car is 30mph slower than twice the speed of the motorcycle.

Answers

Answer:

speed of motorcycle = 40 mph

speed of car = 50 mph

Step-by-step explanation:

Here is the complete question

A car and a motorcycle leave at noon from the same location, heading in the same direction. The average speed of the car is 30 mph slower than twice the speed of the motorcycle. In two hours, the car is 20 miles ahead of the motorcycle. Find the speed of both the car and the motorcycle, in miles per hour.

Speed = distance / time

This question would be solved using simultaneous equation

let m =  average speed of the motorcycle

c = average speed of the car

c = 2m - 30  equation 1

20 =(c - m) x 2 equation 2

insert equation 1 into equation 2 and divide through by 2

10 = (2m - 30) - m

solve for m

m = 40 mph

substitute for m in equation 1

2(40) - 20 = 50 mph

What is the median? 4,5,6,2,2,6,7,8,6​

Answers

Answer:

2

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Could anyone pls give the ans of 8th pls?

Answers

the answer is: -5/9

Answer:

-5/9

Step-by-step explanation:

[tex]\frac{5}{9}[/tex] + ____ = 0

subtract [tex]\frac{5}{9}[/tex] from both sides of the equation

-[tex]\frac{5}{9}[/tex]               -[tex]\frac{5}{9}[/tex]

leaving you with

____ = - [tex]\frac{5}{9}[/tex]

Solve the following equation for x

IDEA: isolate the base ^power and then raise to the reciprocal power

4(x+1)^4/3 = 324

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x
=
3
4

3

1
,

3
4

3

1
x
=
3
3
4
-
1
,
-
3
3
4
-
1
Decimal Form:
x
=
2.94822203

,

4.94822203

x
=
2.94822203

,
-
4.94822203

please help me solve this problem |4|+|-5|=

Answers

Answer:

-1

Step-by-step explanation:

Please answer this will give 10 points

Answers

Answer:

Step-by-step explanation:

In the given large pizza

diameter (d) = 24 in

Now

Circumference

= π* d

= 3.14 * 24

= 75.36 in

Hope it helps :)

24 in...


(This for extra words so i can submit)

Let’s say you want to play a new card game called Pokee. Every player isdealt 4 cards and everyone compares what hands they have to see who wins. Our job isto figure out what the hierarchy of the hands should be. Below is a list of several scoringhands that we wish to compare. For each hand, count how many hands of that type thereare (include the expression you used to get that value) along with a simple explanation ofhow you got that expression. Assume a standard 52 card deck with 4 suits.
a) Presidential Flush (J, Q, K, Ace, all the same suit)
b) Straightish (4 consecutive cards)
c)Flushed (4 cards of the same suit)
d) House (Two pairs of different cards)

Answers

Answer:

a)

Step-by-step explanation:

base on the hierarchy of the hands should be

Straight flush - Poker hand in with 4 consecutive cards of the same suit

Flush - Poker hand with any 4 cards of the same suit

Full house - Poker hand that contains three of the same cards and one pair

Since: Poker hand refers to the 4  cards that are held in the game. Every game features the same hierarchy of poker hands. Based on this hierarchy, there can be different types of poker hands:

what is angle 3 is complement of angle 4 and m/4 = 47 degrees. find m angle 3??

Answers

Answer:

m= 188 and Angle 3 = 90-47 = 43

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

From the question given, angle 3 is a complement of angle 4, and angle 4 is 47 degrees.

Complementary angles add up to 90 degrees.

[tex]90 - 47 = 43[/tex]

Angle three should measure 43 degrees.

Hope this helps.

One card is drawn from a standard 52-card deck and then replaced, and then a second
card is drawn. What is the probability that the first card is a red 8 and the second is a
black 10?

Answers

Answer:

1/676

Step-by-step explanation:

In a deck of cards there are 2 red 8's ( 8 of diamonds and 8 of hearts)

P( red 8)  = number of red 8's/ total

               = 2/52 = 1/26

Then we put the card back so there are still 52 cards

In a deck of cards there are 2 black 10's ( 10 of spades and 10 of clubs)

P( black)  = number of black 10's/ total

               = 2/52 = 1/26

Multiply the probabilities together

P( red 8, black 10) = 1/26 * 1/26 = 1 /676

1/676




Step by step explain action

Un metro cúbico equivale a 1000 litros de capacidad y un decímetro cúbico a un litro ¿Cuántos litros cabrán en una piscina de 12,5 metros cúbicos?

Answers

Answer:

12,500 liters

Step-by-step explanation:

Given that

One cubic meter = 1000 liters

One cubic decimeter = 1 liter

We need to find out the number of liters fit in a 12.5 cubic meter

So

As it is mentioned that

One cubic meter = 1000 liters

So for 12.5 cubic meter

The number of liters would be

= 1000 × 12.5

= 12,500 liters

The formula F=1.8C+32 can be used to convert temperature units. F is degrees Fahrenheit, and C is degrees Celsius.

Answers

Answer:

-40 °F = -40 °C

Step-by-step explanation:

The formula F = 1.8C + 32 gives the temperature in degrees Fahrenheit (F) for a given temperature in degrees Celsius (C). There is one temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius. Complete the equation you can solve to find that temperature and then use it to find the temperature. Use the variable C to represent the number of degrees Celsius where degrees Fahrenheit and degrees Celsius are the same. The equation is . The temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius is °C.

F = 1.8 C + 32 (1)

There is one temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius

Then,

F = C (2)

Substitute (2) into (1)

F = 1.8 C + 32 (1)

C = 1.8C + 32

Subtract 1.8C from each side

C – 1.8 C = 32

-0.8C = 32

Divide both sides by -0.8

C = 32 / -0.8

C = -40

Substitute C = -40 into (1)

F = 1.8C + 32 (1)

F = 1.8(-40) + 32

F = -72 + 32

F = -40

Therefore,

The temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius is -40

That is,

-40 °F = -40 °C

Solve the equation.
-2/3 (x + 3/5) = 1/2



x=

Answers


2
3
(
x
+
3
5
)
=
1
2
Step 1: Simplify both sides of the equation.

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

2
3
)
(
x
)
+
(

2
3
)
(
3
5
)
=
1
2
(Distribute)

2
3
x
+

2
5
=
1
2
Step 2: Add 2/5 to both sides.

2
3
x
+

2
5
+
2
5
=
1
2
+
2
5

2
3
x
=
9
10
Step 3: Multiply both sides by 3/(-2).
(
3

2
)
*
(

2
3
x
)
=
(
3

2
)
*
(
9
10
)
x
=

27
20
Answer:
x
=

27
20

In Springfield, the library is 24 kilometers due south of the courthouse and 32 kilometers due west of the community swimming pool. What is the distance between the courthouse and the community swimming pool?

Answers

Answer:

32km

Step-by-step explanation:

if you draw the diagram it looks like a right angled triangle then indicate the values and use the Pythagoras theorem to solve

Choose the situation in which using exact numbers is the MOST appropriate.
A)
You are trying to pay the cashier.
B)
You are trying find out how long it will take to cook a turkey.
You are trying figure out how much gasoline it will take fill your tank.
D)
You are planning a 200 mile trip and you want to include time for lunch.

Answers

Answer:

A, you need to pay with exact change

16. On June 8, 1992, a crop circle with an 18-meter radius was found in a wheat field near Szekesfehervar,

43 miles southwest of Budapest, Find its circumference,

a. 112.06

b. 113.04 m

C, 124,45 m

d116,34 m

Answers

The answer is B or 113.04 m

x + y = 7
5x - 2y = -7

Answers

Answer:

x=1 y=6

Step-by-step explanation:

make equation 3 from equation 1

substitute equation 3 from 2

find x or y from equation 3

Karen buys candy that cost $5 per pound. She will spend more than $35 on candy. What are the possible numbers of pounds she will buy?​

Answers

If I were Karen I’d just take em all and run

Find the surface area of the cylinder to the nearest tenth of a square unit. Use 3.14 for TT.
4.9 ft.
7 8 ft
A. 38.2 ft2
B. 75.4 ft2
C. 286.2 ft?
D. 390.8 ft2

Answers

bestie i would say it’s A because you multiply and you don’t have the other surface areas hope this helps <3

Marianne's ring has a radius of 8mm. She needs to get it resized so that the circumference is 52 mm. How much larger will the new circumference be? Round your answer to the nearest tenth

Answers

Answer:

0.28mm larger

Step-by-step explanation:

Given data

Radius of ring= 8mm

Circumference

C= 2πr

C= 2*3.14*8

C=50.24mm

The resized ring has a circumference of =52 mm

Hence the radius will be

52= 2*3.14*r

52= 6.28r

r= 52/6.28

r= 8.28mm

Hence the resized ring is

8.28-8

=0.28mm larger

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

D.) the amount in the account increase by 4% each year

Step-by-step explanation:

Compound interest formula: P*(1+r/n)^(nt)

P=initial principal balance

r=interest rate

n=times applied per [time (eg year)]

t=number of time periods gone by

The expression: 2500(1.04)^x

The expression: 2500(1+1/25)^(nt)

1.04=1+1/25=increases by 4% each year

What is the value of X?

Answers

Answer:

56

Step-by-step explanation:

You add 91 and 33 and you get 124. Subtract 180 and 124 to get 56.

56 because the 3 angles have to add up to 180. Please mark as brainliest. :)

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