1 squared + 1= 2 sqaured - 2
2 sqaured + 2 = 3 squared - 3
3 squared + 3= 4 squared - 4
a) make a conjecture about this pattern. write your conjecture in words
b) generalise your conjecture for this pattern
c) prove that your conjecture is true

Answers

Answer 1

Answer:

It would be the letter B :)


Related Questions

A number is multiplied by 8, and that product is added to 4. The sum is equal to the the product of 4 and 13. Find that number

Answers

Answer:

n = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify + set up

8n + 4 = 4 · 13

Step 2: Solve for x

Multiply:                                                                                                             8n + 4 = 52[Subtraction Property of Equality] Subtract 4 on both sides:                        8n = 48[Division Property of Equality] Divide 8 on both sides:                                 n = 6

Divide 20 by the difference of 14 and 9.

Answers

The answer is 4 because 14-9=5 and 20/5=4
4, the difference is 14-9, which is 5, 20/5=4

Write 4/5 with denominator 15

Answers

Answer:

12 / 15

Step-by-step explanation:

4/5 = x /15

15 / 5 = 3

So multiply both numerator and denominator by 3

4/5 * 3/3 = 12 / 15

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:  12/15

To get this fraction, we multiply top and bottom by 3

4*3 = 12

5*3 = 15

We get the value 3 through trial and error, or you can note how 15/5 = 3.

please help! (listing BRAINLIST and giving points) ​:D​

Answers

Answer:

40°

Step-by-step explanation:

because angle In an isosceles triangle base angles are same and angle in a triangle add up to 180° and angle on a straight line add up to 180°

hope this helps:)

Write the ones digit of the squares of the following numbers. (a) 21287​

Answers

7

___________________

please help i will mark you brainliest... A number - _________= the previous number

Answers

Answer:

1

Step-by-step explanation:

When 1 substract from any number then will get previous number.

Example:

Let any number that is 5

5-1=4

4 is the just previous number of 5

Therefore, number -1 = the previous number

Answer will be 1

Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel.

What is the length of Line segment G D?

GD =

Answers

Answer:

10.5

Step-by-step explanation:

built different

Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel.  5.5 is the the length of Line segment G D.

What is triangle?

A triangle is a polygon that has three vertices on each of its three sides. The point shaped inside the triangle is equivalent to 180 degrees. It implies that the amount of the inside points of a triangle is equivalent to 180°. This is a polygon with the fewest sides.

To put it another way, a triangle is a two-dimensional figure with three sides and interior angles of 180 degrees. Six main types of triangles are distinguished by their angles and side lengths. Allow us to examine exhaustively about the six kinds of triangles. In light of the length of the sides, the triangle is arranged

EG / GD = FH / HD

6 / GD  = 8 / 2

GD = 22 / 4

GD  = 5.5

Therefore, 5.5 is the the length of Line segment G D.

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What is a polygon?
a. A closed plane figure made up of line segments
b. An open plane figure made up of line segments
c. A closed plane figure made up of rays
d. An open plane figure made up of rays​

Answers

Answer:

A. A closed plane figure made up of line segments

Step-by-step explanation:

Answer:

A closed plane figure made up of line segments

Help lol i have until tomorrow <3

X/3 - 2 = 6

Answers

Answer:

x=24

Step-by-step explanation:

if x is 24 in x/3, that would give us 24/3 or 8.

8-2=6 :)


The demand function of a product is q = 7,000 - 50p, where p is the price.
The cost function is given by C = 2,000 + 259. At what price is the break-even
Production attend?

Answers

Answer: 139.65 or 25.34.

Step-by-step explanation:

The revenue function will be:

= Price × Quantity

= P × (7,000 - 50p)

= 7000p - 50p²

The coat function is given as:

C = 2,000 + 25q

C = 2000 + 25(7000 - 50p)

C = 2000 + 175000 - 1250p

C = 177000 - 1250p

Then, we'll equate the revenue function to the cost function. This will be:

7000p - 50p² = 177000 - 1250p

-50p² + 7000p + 1250p - 177000 = 0

-50p² + 8250p - 177000 = 0

Divide through by -50

p² - 165 + 3540 = 0

Solving to get the value of P will then give us 139.65 or 25.34.

NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.

Which expression is equivalent to (1/√y)^-1/5?

A: 1/10√y

B: 1/√y^5

C: 10√y

D: 5√y^2​

Answers

Answer:

C

Step-by-step explanation:

(1/√y)^-1/5

= (1/sqrt(y))^(-1/5)

=sqrt(y)^(1/5)

=y^(1/10)

= (tenth root of y)

=C

:)

Solve the equation a=m-n for the variable n

Answers

Answer:

m-a = n

Step-by-step explanation:

a=m-n

Subtract m from each side

a-m = m-n-m

a-m = -n

Multiply each side by -1

-a+m = n

m-a = n

How much of a radioactive kind of rhodium will be left after 120 seconds if the half-life is 30 seconds and you start with 480 grams?​

Answers

9514 1404 393

Answer:

  30 grams

Step-by-step explanation:

The time 120 seconds is 4 times the half-life of 30 seconds. That means (1/2)^4 = 1/16 of the original amount will remain. That is (480 g)(1/16) = 30 g.

  30 g of the radioactive rhodium will be left

find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. if y varies directly as X and Z, and t=8/3 when x=1 and z=4, find y when x=6 and z=3

Answers

Answer:

The Question isn't clear

Step-by-step explanation:

Answer:

can someone please answer this question correctly for me. i need it asap

Step-by-step explanation:

If f and g are positive, (f+g)^2=54 and 2fg = 24, what is f^2+g^2?

Answers

Answer:

D. 30

Step-by-step explanation:

f²+g² = (f+g)²-2fg

= 54-24 = 30

Some help? Like bro literally how?!

Answers

Answers:

[tex]\text{OA} = \cos(\alpha)\\\\\text{AB} = \sin(\alpha)\\\\\text{DC} = \tan(\alpha)\\\\[/tex]

You can use the word "alpha" without quotes in place of the symbol [tex]\alpha[/tex] if you want (though it will depend if your teacher allows it of course).

======================================================

Explanation:

Focus entirely on triangle AOB.

With respect to reference angle alpha (symbol [tex]\alpha[/tex]), the side OA is the adjacent side since it's the leg closest to or touching the reference angle.

In this same triangle, side OB is the hypotenuse. Because its the radius of the unit circle, we know that OB = 1.

We'll use the cosine rule to connect the adjacent over hypotenuse like so

[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(\alpha) = \frac{\text{OA}}{\text{OB}}\\\\\cos(\alpha) = \frac{\text{OA}}{1}\\\\\text{OA} = \cos(\alpha)\\\\[/tex]

So you'll type either [tex]\cos(\alpha)[/tex] or cos(alpha) into the box for OA.

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

We're still working with triangle AOB only.

Side AB is the opposite side with respect to reference angle alpha.

We can say

sin(angle) = opposite/hypotenuse

sin(alpha) = AB/OB

sin(alpha) = AB/1

AB = sin(alpha)

Basically it's almost identical to the previous section's steps, but we're using sine instead of cosine this time. Like before, you can type in either [tex]\sin(\alpha)[/tex] or sin(alpha) depending on your teacher's preferences.

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

This next section can be a bit tricky.

Sides AB and DC are parallel due to them being both vertical. We can use the AA (angle angle) similarity theorem to prove triangle BOA is similar to triangle DOC. The order of the letters is important. The order helps us see how the sides pair up, or how they correspond, so we can form the correct proportion.

The vertical sides of the triangles are AB and DC as mentioned earlier, so they form one fraction AB/DC. I'm dividing small over big.

Another fraction we can form is OA/OC which is dividing the horizontal legs (again small/big).

Overall, due to the similar triangles, we can set up this equation

AB/DC = OA/OC

We'll plug in what we found earlier. Also, OC = 1 because it's another radius of the same unit circle.

Lets solve for side DC.

AB/DC = OA/OC

sin(alpha)/DC= cos(alpha)/1

sin(alpha)*1 = DC*cos(alpha)

DC = sin(alpha)/cos(alpha)

DC = tan(alpha)

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

In summary, segments OA, AB and OC represent the cosine, sine and tangent of the reference angle alpha. These are visual ways to see how the trig ratios correspond to lengths of triangles when connecting them to the unit circle like this.

Side notes:

Point B is at the location (cos(alpha), sin(alpha)). Point D is at (1, tan(alpha)).

Identify the type of sample:
A news reporter at a family amusement park asked a random sample of 20 kids and a random sample of 20 adults about their experience at the park

Answers

Answer: I don’t get this question.

The type of sample is a stratified sampling.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data

Given that news reporter at a family amusement park asked a random sample of 20 kids and a random sample of 20 adults about their experience at the park

We need to find the type of sample.

This is a stratified sampling because reporter at a family amusement park asked a random sample of 20 kids and a random sample of 20 adults about their experience at the park

stratified sampling is a method of sampling from a population which can be partitioned into subpopulations.

Hence, the type of sample is a stratified sampling.

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Find the 59th term of the arithmetic sequence
29,37,45,...

Answers

Answer:

13,456

Step-by-step explanation:

Tn= a+(n-1)d

a is the first term, n is the given number and d is the common difference. d is given by subtracting the first term from the second term or the second from the third. Therefore the the 59th term of the sequence 29, 37, 45 is,

Tn= 29+(59-1)8

=29(58)8

=13,456

Using the equation for the line of best fit what is a good approximation for x when f(x) =30?

Answers

Answer:

48.6

Step-by-step explanation:

Given the equation for the line of best fit ; f(x) ≈ 1.8x − 5.4 ;

This equation is used to make prediction for any given value of x ; Here, we are to make prediction for when x = 30

f(x) ≈ 1.8x − 5.4 ; we substitute into the equation, x = 30

f(30) = 1.8(30) - 5.4

f(30) = 54 - 5.4 = 48.6

Prediction at x = 30 is 48.6

Find the area and circumference of a circle with a radius of 13cm. ::note:: answers can be written in decimal form to the nearest hundredth (for example, 9.42) or in terms of pi (for example if you wanted to say 3π
you could write 3 pi--the pi symbol is not available to Area=

Circumference=

Answers

Answer:

14cm

Step-by-step explanation:

Answer:

28 cm2

14 cm

Step-by-step explanation:

Need explanation and answer

Answers

1=22e 3663 30-4949-29238342

Answer:

[tex]x = \sqrt{12} = 3.464[/tex]

Step-by-step explanation:

[tex]AC=AD+DC=13\\\text{Because ABC is a right triangle then}\\AB^2=AD.AC\\\Rightarrow AB^2=1 \times 13=13\\\Rightarrow AB = \sqrt{13}\\\text{In the right triangle ABD, since Pythagoras we also have}\\AB^2=AD^2+BD^2\\\Rightarrow BD^2=AB^2-AD^2\\\Rightarrow x^2= 13 - 1=12\\\Rightarrow x = \sqrt{12} = 3.464.[/tex]

[tex]inverse function of \frac{3^x+2}{3^x-5}[/tex]

Answers

Answer:

[tex](3 {}^{x} + 2)(3 {}^{x} + 2)[/tex]

hope it is helpful to you

the following data represent the number of people aged 25-64 years covered by health insurance (private or government) in 2018. approximate the mean and standard deviation

Answers

Answer:

mean = find the total of people in such data by adding up all the totals of people represented by each age then  divide that total by 2.

mean = with cumulative or frequency graphs if the numbers range individually like 25-30 and 30-35 etc and so on then you take the midpoint age and multiply it by the frequency number in new column add up both columns then divide by smaller total.

mean = histogram total number of data ie) from 270 people (80 x 0 = 0), (40 x 2 = 0) and so on multiplying the frequency. then add them all up in new column ie) 380 among 270 people = 1.4  

mode = histogram highest box

median = histogram add up all data number divided by 2 and can draw this on graph as they sort of are in order ie) 15 to the left and 15 to the right

To find standard deviation you need the copulative formula and the notation change for sample shows the small m and s to represent standard deviation ie) m-n is a notation difference for samples of population's

n = number of scores ie)  = 50  

Ex = then sum of x  = would be the collective total  ie) = 270

m = 270/50 = 5.4

Ex^2 = 270 x 270 = 72900   (the square of the total population)

SS = Sum of squares = 72,900 - ( 270^2 / 50) are all the variables.

is the formula  = 71,442

the root of SS -1

S^2 = 270 / (50 -1) =  270/49 = 5.51

S = sqrt S^2 = sqrt SS /n-1 = sq rt 50 = and you get your answer here.

Standard Deviation on data example here shown is;

S = sqrt 5.51 = sqrt 71442 / n-1 = sq rt 71442/ 50-1 = sq rt 71442/49 = 38.1837662  from a 270 population that exists with 50 age group 25 -75 to show the ease here and how to remember.

Just retrace and where 270 is change for total

Where 50 is put 64-25 = 39

and where n-1 is put 39-1 and always subtract first before dividing as the formula protects the brackets as seen in bold.

As your very last formula is S = SS/n-1

Step-by-step explanation:

Rhode Island Red chicks cost $3.20 each and Buckeye chicks cost $3.44 each.
A farmer buys 4 Rhode Island Red chicks for every 3 Buckeye chicks.
He buys 70 chicks in all. What is the total cost of the farmer's chicks?
Show your work

Answers

Answer:

Step-by-step explanation:

Rhode Island Red chicks = 3.20 Dollars

Buckeye chicks = 3.44 Dollars

For every3 times as 3.44 Dollars, The farmer buys 4 times as 3.20 Dollars so simply Multiply until you reach 70 S0..

3.44 x 3

= 10.32

3.20 x 4

= 12.8

With 7 chicks, combine the prices of the chicks and multiply it by 10.

= 12.8 + 10.32

= 23.12

= 23.12 x 10

= 231.2

So 231.2 Dollars were spent for 70 chicks`in total.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The total cost of farmers' chicks is $231.2

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 5 is an equation.

We have,

Total chicks = 70

4 Rhode Island Red chicks = 3 Buckeye chicks.

Multiply 10 on both sides.

40 Rhode Island Red chicks = 30 Buckeye chicks.

We see that,

40 + 30 = 70

Now,

Rhode Island Red chicks cost = $3.20

Buckeye chicks cost = $3.44

Now,

= 40 x 3.20 + 30 x 3.44

= 128 + 103.2

= $231.2

Thus,

The total cost of farmers' chicks is $231.2

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Determine the standard form of the equation of the line that passes through (6, -9) and (-8, 6)

A. 15x+14y=-36
B. 14x+15y=-36
C. 15x+14y=36
D. 15x-14y=-36
Please select the best answer from the choices provided

Answers

9514 1404 393

Answer:

  A.  15x +14y = -36

Step-by-step explanation:

Since we are given two points, we can start with the 2-point form of the equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (6 -(-9))/(-8 -6)(x -6) +(-9)

  y = 15/-14(x -6) -9

Multiplying by -14, we have ...

  -14y = 15x -90 +126

Adding 14y-36 to both sides gives ...

  -36 = 15x +14y . . . . matches choice A

The standard-form equation is ...

  15x +14y = -36

_____

Additional comments

It can be easier to start with the form ...

  (Δy)x -(Δx)y = (Δy)x1 -(Δx)y1 . . . . . where Δx = x2-x1 and Δy = y2-y1

This gives ...

  (6+9)x -(-8-6)y = 15(6) +14(-9)

  15x +14y = -36 . . . simplified

__

You can also start with the slope-intercept form or the point-slope form, if you're more familiar with those. The result will be the same. I find it handy to be familiar with a number of different forms of the equation for a line.

Tom and his four friends are going to a baseball game. If the total amount they spent on tickets was $50, how much did they spend on each ticket?

Answers

12.50 on each ticket

Step-by-step explanation:

12.50 x 4 = 50.00

Find the mean of the data in the bar chart below. ​

Answers

Mean= (5+6+5+6+9)/5= 7.2 coins

Explanation: The mean is the average of a data set. Add the numbers from the data set and divide by how many numbers.

pls plz anyone i’ll pass the class

Answers

Answer:

what's the question???

Answer:

x = 3.721

Step-by-step explanation:

Since, the triangle is right triangle, we can use trignometery equations ;

In this case, we need to use tangent equation in perpendicular :

tan θ = opposite side / adjacent side

Where , we've

opposite side = xθ , angle = 28 °Adjacent side = 7

tan 28 ° = x / 7

7 × tan 28 ° = 7 × x / 7 ..( Multiply each side by 7 )

7 × tan28° = x

Rewrite

x = 7 tan ×28°

multiply to get

x = 7 × 0.531709432

x = 3.72196602

Jenn determined that the graph of the quadratic funtion f(x) =x^2 -9 has two x-intercepts. do you agree with her? why or why not?

Answers

Answer:

Jenn is correct, as the function has two x-intercepts, at x = -3 and x = 3.

Step-by-step explanation:

x-intercepts of a function:

The x-intercepts of a function are the values of x for which f(x) = 0.

In this question:

[tex]f(x) = x^2 - 9[/tex]

x-intercepts:

[tex]x^2 - 9 = 0[/tex]

[tex]x^2 = 9[/tex]

[tex]x = \pm \sqrt{9}[/tex]

[tex]x = \pm 3[/tex]

Jenn:

Jenn is correct, as the function has two x-intercepts, at x = -3 and x = 3.

if jane give £2 pounds to charlotte they will have equal amount of money. instead
charlotte give £4 to jane the ratio of jane's money to charlotte will be 2:1. how much
do jane and charlotte each have to start with​

Answers

Jane has 20 pounds and Charlotte has 16 pounds

Let j = amount Jane has and c = amount Charlotte has

j - 2 = c + 2 if Jane gives Charlotte 2 pounds
j + 4 = 2(c - 4) if Charlotte gives Jane 4 pounds
j + 4 = 2c - 8
Subtract equation 1 from equation 3
6 = c - 10
c = 16
j = c + 4 = 20
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