if q^2-1 is divisible by 8 if q is _____

If Q^2-1 Is Divisible By 8 If Q Is _____

Answers

Answer 1

Answer:

if q is odd

Step-by-step explanation:

Hello,

Either q is odd or is even.

Case 1 - we can find k integer so that q = 2k

Then, in the case

[tex]q^2-1=4k^2-1[/tex]

This is not divisible by 8, for instance, q = 6

[tex]q^2-1=36-1=35=7*5[/tex]

Case 2 - we can find k integer so that q = 2k+1

[tex]q^2-1=(2k+1)^2-1=4k^2+4k+1-1=4k(k+1)[/tex]

k(k+1) is divisible by 2 so the initial number is divisible by 8

Conclusion, the answer is q is odd.

Thanks


Related Questions

Which set of data is displayed in the box plot below?

Answers

Answer:

It would tske to long for me to break it down but my best bet is B

Step-by-step explanation:

What is the area of the parallelogram?

Answers

70 cm

a parrallogram is a square of sorts, so just take the base times the height divided by two for the triangle portion than multiple by 2 to get rhe same answer back because those two triangles make a square

PLEASE HURRY I ONLY HAVE 5MIN TO TURN IT IN!!! A new television set was recently purchased for a common Room and a resident Hall for $446.90 including tax. If the tax rate is 9%, find the price of the television set before taxes.

Answers

Answer:

The price of the tv before tax is 410

Step-by-step explanation:

Let x = price of tv before tax

tax = x*  9%

tax = .09x

The total cost is price of tv before tax plus tax

total cost = x + .09x

total cost = 1.09x

446.90 = 1.09x

Divide each side by 1.09

446.90/1.09 = 1.09x/1.09

410 = x

The price of the tv before tax is 410

Point F bisects segment GH. Find GH if GF = 14 1/2 feet.

Answers

Answer:

Segment GH = 29 ft

Step-by-step explanation:

Point F bisects segment GH means that the segment GH is being divided into two by point F.

If GF = 14 1/2 feet

Since point F divides GH into two, multiplying GF by two will give segment GH

GH= 2GF

GH= 2(14 1/2

GH= 2(29/2)

GH= 29 ft

Segment GH = 29 ft

please help me with this *the answer i has typed (5^11) is incorrect

Answers

Answer:

[tex]-5^{11}[/tex]

Step-by-step explanation:

It would actually be [tex]-5^{11}[/tex] since it is a negative 5

Answer:

( -5) ^ 11

Step-by-step explanation:

( -5) ^5

-------------

( -5) ^ -6

Since we are dividing, we subtract the exponents

(-5) ^ ( 5 - -6)

(-5) ^ (5+6)

( -5) ^ 11

( 5n 3 + n 4 - 5 ) - ( -5 - 6n 3 - 4n 4 ) A) 5n 4 + 11n 3 B) 5n 4 + 11n 3 + 2 C) 4n 4 + 11n 3 + 2 D) 4n 4 + 19n 3 + 2

Answers

Answer:

i got 53 n

Step-by-step explanation:

could be wrong but try lol

What is the simplest form of this expression? -b^3 (3b + 1) – 2b^4​

Answers

Answer:

-5b^4 - b^3

Step-by-step explanation:

-b^3 (3b + 1) – 2b^4​

Distribute

-3b^4 - b^3 -2b^4

Combine like terms

-5b^4 - b^3

What type of number is -44.1?

Answers

negative number but to be specific it’s a negative decimal

Answer:

-44.1 is a real and complex number

Step-by-step explanation:

Find the value of X Need help ASAP.

Answers

1. 4 inside angles must sum to 360:

X = 360-45-65-95 = 155

2. All the outside angles must sum

To 360:

2x + 70+ 86 + 9 = 2x + 248

2x = 360-248

2x = 112

X = 112/2 = 56

3. Sum of interior angles for 6 sides figure = 720.

X = 720 - 90-120-130-140-150

X = 90

4. Exterior angles sum to 360

4x +x + 98 + 162 = 360

5x + 260 = 360

5x = 100

X = 100/5

X = 20

One environmental hazard recently identified is overexposure to airborne asbestos. In a sample of 10 public buildings over 20 years old, three were found to be insulated with materials that produced an excess number of airborne asbestos bodies. what is the approximate probability that another buitding of this rype will have this problem? What method are you using to assign this probability?

Answers

Answer:

1. 0.3

2. Relative frequency

Step-by-step explanation:

We would be calculating for p(A) which is the probability of A. With A being that public buildings would be found to be insulated with same materials that causes same issues

n = sample space of public buildings = 10

F = frequency = 3

P(A) = 3/10 = 0.3

Therefore 0.3 is the approximate probability of another building having same issues

Question 2 says we should find method used to assign probability

The method used is relative frequency method and it is determined by:

P(A) = frequency(f)/total number of data values(n).

...........................

Answers

Answer:

x= 88

Step-by-step explanation:

what is formula to calculate the area of circle​

Answers

Step-by-step explanation:

Area of circle

[tex] = \pi {r}^{2} [/tex]

r = radius of the circle

Answer:

[tex]\pi[/tex]r²

Step-by-step explanation:

A=[tex]\pi[/tex]r²

A snail travels 820 mm in 0.75 minutes. What was his speed in m/s?

Answers

Answer:

speed in m/s=0.01822 metre/s

Step-by-step explanation:

Conversation rate of mm to m is

1000 mm = 1 metre

820 mm= 820/1000

829 mm= 0.82 metres

Conversation rate of minutes to second

I minute = 60 seconds

0.75 minute = 60*0.75 seconds

0.75 minute= 45 seconds

speed in m/s= 0.82 metres/45 seconds

speed in m/s= 0.82/45

speed in m/s=0.01822 metre/s

Find the volume of the following solid figure. Use = 3.14.
V = 4/31r. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches

A. 56.5
B. 381.5
C. 84.8

Answers

Answer:

B. 381.5

Step-by-step explanation:

[tex]r = 4.5\\\pi = 3.14\\\\V = ?\\\\Volume = \frac{4}{3} \pi r^3\\\\V= \frac{4}{3} \times 3.14 \times (4.5)^3\\\\V = \frac{4}{3} \times 286.1325\\\\V = \frac{1144.53}{3} \\\\V = 381.51\\\\Volume = 381.51 \: inches^3[/tex]

An agribusiness performed a regression of wheat yield (bushels per acre) using observations on 26 test plots with four predictors (rainfall, fertilizer, soil acidity, hours of sun). The standard error was 1.29 bushels.
(a) Find the approximate width of a 95% prediction interval for wheat yield. (Round your answer to 2 decimal places.)
yˆi ±
(b) Find the approximate width using the quick rule. (Round your answer to 2 decimal places.)
yˆi ±
(c) The quick rule gives a similar result.
a. Yes
b. No

Answers

Answer:

A)y ± [tex]t_{21}[/tex] ( 1.29 )

B) y ± 2.58

C ) yes

Step-by-step explanation:

standard error = 1.29 bushels

approximate width of 95% prediction interval for an individual can be represented as ;  [tex]y[/tex] ± [tex]t_{n-k-1}[/tex] ( SE )

[tex]t_{n-k-1} = critical value of t at n-k-1[/tex] degree of freedom

n = 26

k = 4

a) Approximate width of a 95% prediction interval for wheat yield

[tex]y[/tex] ± [tex]t_{n-k-1}[/tex] ( SE )

Insert the values into the equation

n - k -1 = 26 - 4 - 1 = 21

y ± [tex]t_{21}[/tex] ( 1.29 ) you can get the value of [tex]t_{21}[/tex] from the t table for 21 degrees at 0.05 significance level

B)  The approximate width using the quick rule

y ± 2SE

y ± 2(1.29) = y ± 2.58

C) The quick rule gives a similar result = yes

Donte is planning on repairing bikes and skateboards to save up money for
college. He can repair up to 2 bikes per day and 4 skateboards per day. If b
represents the number of bikes and s represents the number of
skateboards, write the expression that represents the total number of
things Donte can repair in a single day. *​

Answers

Answer:

y=2b+4s

Step-by-step explanation:

What is the simplified form of the expression below? (6 + 7b) + 14

Answers

Answer: 20+7b

Step-by-step explanation:

Given

 (6+7b)+14

Take off parentheses

=6+7b+14

Move like terms together (Commutative property)

=6+14+7b

Combine like terms

=20+7b

Hope this helps!! :)

Please let me know if you have any question

Answer:

[tex]\huge\boxed{ answer}[/tex]

[tex]\blue\star[/tex]6 + 7b + 14 = 0

[tex]\blue\star[/tex]7b + 20 = 0

[tex]\blue\star[/tex]7b = - 20

[tex]\blue\star[/tex]b = -20\7

[tex]\star[/tex]simplified form

[tex]\blue\star[/tex](6 + 7b) +14

firstly remove the brackets.

[tex]\blue\star[/tex]6 + 7b +14

seprate terms and variables

[tex]\blue\star[/tex] 7b +20

[tex]\huge\boxed{7b + 20}[/tex]

Hope it helps..

Brainliest!
Divide
18198
--------
27
A.518
B.608
C.674
D.689

Answers

Answer:C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

27)18198(674

    162

  -

    --------

     199

     189

   -

    ---------

        108

        108

      -

         

       ------

          0

        ------

Determine whether set B is a subset of A.
7. A = {2, 3, 5, 7, 11}
B = {3, 5, 7, 9, 11)

Answers

Answer:

Set  B is not a subset of A.

Step-by-step explanation:

If there are sets, A and B with some elements, then B can be called subset of A, if every element of B is present in set A.

Example.

Example

A is set of integers

B is set of natural numbers

we know set of integers is all the negative numbers, 0 and all the positive discrete numbers like

A = {......-3,-2,-1,0,1,2,3,4........}

B is set of positive discrete numbers from 1 to infinity)

B =  {1,2,3,4........}

Thus, we see every element of B is present in A . Hence B is subset of A

___________________________________________

Given

A = {2, 3, 5, 7, 11}

B = {3, 5, 7, 9, 11)

Here,

In set B . elements 3,5,7,11 are present in set A, but

Element 9 from set B is missing Set A.

Since, every element of Set B is not present in set A hence

Set  B is not a subset of A.

what are the orders pairs for this figure

Answers

A is (2,-4) B (-2,5) C (0,-6) D(-4,-3) E(3,0) F(5,4)

write as an equation: 1/3 of a shipment of books weights 28 pounds

Answers

Answer:

x=28 (pounds) * 1/3

Step-by-step explanation:

28/3 gives you 1/3 of the shipment weight.

Please Help! The base of a triangular prism has a base rent of 7 feet and a height of 3 feet the prism is 4 feet tall a second larger prism has dimensions that are three times the dimensions of the small prism what is the difference between the volumes of the two prisms?

Answers

Answer: 1092

Step-by-step explanation:

Answer:

1092

Step-by-step explanation:

Write each statement as a decimal to two decimal places. $6.00 to 95 cents = 3 hours to 35 minutes = 42 inches to 2 feet = (Hint: there are 12 inches in 1 foot.)

Answers

Answer/Step-by-step Explanation:

The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.

1. $6.00 to 95 cents:

This is same as $6.00 : 95 cents = [tex] \frac{6.00}{95} [/tex]

Convert $6 .00 to cents to make both quantities be in the same unit.

$1 = 100 cents

$6.00 = 6*100 = 600 cents

[tex] \frac{600}{95} = 6.32 [/tex] (to 2 d.p)

2. 3 hours to 35 minutes:

Convert 3 hours to 35 mins

1 hr = 60 mins

3 hrs = 3*60 = 180 mins

[tex] 180mins : 35 mins = \frac{180}{35} = 5.14 [/tex] (2 d.p)

3. 42 inches to 2 feet:

Convert 2 ft to inches

1 ft = 12 inches

2ft = 2*12 = 24 inches

[tex] 42 in:24 in = \frac{42}{24} = 1.75 [/tex]

Point S is on line segment \overline{RT}
RT
. Given ST=5x-7,ST=5x−7, RT=4x+9,RT=4x+9, and RS=2x+7,RS=2x+7, determine the numerical length of \overline{ST}.
ST
.

Answers

The value of ST is 8.

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

Given:

ST=5x-7, RT=4x+9, RS=2x+7

So,

RS + ST = RT

2x +7  + 5x -7 = 4x+9

7x = 4x +9

3x= 9

x=3

So,

ST= 5x-7 = 5*3 -7= 15-7= 8

Learn more about equation here:

https://brainly.com/question/10413253

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A certain antihistamine is often prescribed for allergies. A typical dose for a 100​-pound person is 19mg every six hours. Complete parts​ (a) and​ (b) below. Following this​ dosage, how many 13.2mg chewable tablets would be taken in a​ week? A​ 100-pound person could take ____ tablets in a week. ​(Round to the nearest whole number as​ needed.)

Answers

Answer:

40 tablets

Step-by-step explanation:

What we want to do is find how many mg of antihistamine you can take in a week.

If you can take 19mg in 6 hours, that means you can take [tex]19\cdot4=76[/tex]mg per day (because [tex]24\div6=4[/tex], so you can take 19mg every 6 hours 4 times in a day.)

There are 7 days in a week, so you can take [tex]76\cdot7=532[/tex] mg per week.

Now, we know how many mg of antihistamine you can take per week. If we take antihistamine in increments of 13.2mg, then the total amount of tablets we can take per week is going to be [tex]532\div13.2[/tex], which is approximately equal to 40.

So you can take 40 tablets in a week if you are 100 pounds.

Hope this helped!

Answer:

Step-by-step explanation:

b. A​ 100-pound person could take

 

enter your response here mL in a week.

​(Round to the nearest whole number as​ needed.)

Cellular phone service that charges per minute will charge $35 for 220 minutes. How much would 753 minutes cost?

Answers

Answer:

$119.795  (aprox)

Step-by-step explanation:

Proportions:

$35  ⇔ 220 minutes

$C  ⇔  753 minutes

C = 753*35/220

C = $119.795    aprox.

Find the opposite of the given number. -18.6

Answers

Answer:

18.6

Step-by-step explanation:

Answer:

opposite of -18.6=18.6

The two-way frequency table below shows data on type of vehicle driven and whether there was a speeding ticket in the last year for customers of All American Auto Insurance. Complete the following two-way table of row relative frequencies. (If necessary, round your answers to the nearest hundredth.) Sport utility vehicle (SUV) Sports car Speeding ticket within the last year 282828 353535 No speeding ticket within the last year 979797 104104104 Sport utility vehicle (SUV) Sports car Row total Speeding ticket within the last year 1.001.001, point, 00 No speeding ticket within the last year 1.001.001, point, 00

Answers

Answer:

Step-by-step explanation:

Given frequency table is,

                                                     Sport utility vehicle     Sports car    Row total

Speeding ticket within last year                 28                          35              63    

No Speeding ticket within last year           97                         104              201

Now relative frequency table will be,

                                                      Sport utility vehicle     Sports car    Row total

Speeding ticket within last year           [tex]\frac{28}{63}=0.44[/tex]                 [tex]\frac{35}{63}=0.56[/tex]         [tex]\frac{63}{63}=1[/tex]  

No Speeding ticket within last year     [tex]\frac{97}{201}=0.48[/tex]                [tex]\frac{104}{201}=0.52[/tex]        [tex]\frac{201}{201}=1[/tex]

Answer:

The answer above is wrong. This is the correct one(the picture)

Step-by-step explanation:

Help! Please what’s the answer

Answers

Answer:

837 sq. ft

Step-by-step explanation:

area of garden = area of rectangle + area of semicircle

area of rectangle = 20 X 34 = 680 sq. ft

area of semicircle  = 1/2 X 3.14 X 100 = 157 sq.ft

area of garden = 837 sq. ft

i am 1 brainly away from virtuoso, your help would be appreciated

A spinner had 5 equal sections, labeled A through E. After 100 spins, the spinner had landed on section A a total of 45 times.

Answers

Where’s the question?

On 0.05 percentage of the spins did the spinner land on 2, according to the question.

How do you calculate the value?

For spins using the spinner geometry: Shape. Spinners are in the same category as dice. Spinners, in essence, give unpredictability to the creation of numbers, colors, or objects. It can be used in place of dice and vice versa to create numbers. IT may be used in a gaming scenario in the same manner that dice can be used to produce movements.

In 100 Spins it lands on 2 a total of 5 times

Therefore, it’s 5/100×100%

= 5%

So, the Answer is 5. So 5% .

To convert a percentage to a decimal, divide by 100. So 5% is 5/100, or 0.05. To convert a decimal to a percentage, multiply by 100 , move the decimal point 2 places to the right.

To learn more about Spin times, to refer:

brainly.com/question/22309374

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