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

What is the y-intercept of function f?
A. 1

B. -1

C. -2

D. 5

Answers

Answer:

1

Step-by-step explanation:

The y intercept is when x =0

We need to use the second equation

-x+1  since -2 < 0 <3

0+1

The y intercept is 1

Find the area
76 sq. Meters
60 sq. Meters
30.5 sq. Meters
65 sq. Meters

Answers

Answer:

76 sq. meters

Step-by-step explanation:

10 · 4 = 40m

2 · 6 = 12m

8 · 6 = 48/2 = 24m

40 + 12 + 24 = 76 sq. meters

To prepare for a party, Mark buys a small bunch of balloons for $6.00 and gift bags that cost $5.15 each. He spends a total of
$72.95 on the balloons and a gift bag for each person invited to the party. Write and solve an equation to find x, the number of
people Mark invited to the party

Answers

Answer: [tex]72.95 =6.00+5.15x[/tex]  , Required equation

The number of  people Mark invited to the party = 13

Step-by-step explanation:

According to the question,

Total amount spent = (Price of bunch of ballons)+(cost per gift) x (Number of persons)

Given: Total amount spent =$72.95 , Price of bunch of ballons =$6.00 ,

cost per gift =$5.15

thus,

[tex]72.95 =6.00+5.15x[/tex]  , Required equation

To solve , first

subtract 6 from both sides, we get

[tex]66.95=5.15x\\\\\Rightarrow\ x=\dfrac{66.95}{5.15}\\\\\Rightarrow\ x=13[/tex]

The number of  people Mark invited to the party = 13

Andrew walks 2000 feet from his house to his office. What distance does he cover?
A. 18,000 in.
B. 24,000 in.
C. 25,000 in.
D. 30,000 in.

Answers

The answer is B. 24,000 in.

Find two consecutive whole numbers that square root of 63 lies between

Answers

Given:

The number [tex]\sqrt{63}[/tex] lies between two whole numbers.

To find:

The two consecutive whole numbers.

Solution:

The perfect squares of natural numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ... .

The number 63 lies between 49 and 64.

[tex]49<63<64[/tex]

Taking square root on each side, we get

[tex]\sqrt{49}<\sqrt{63}<\sqrt{64}[/tex]

[tex]7<\sqrt{63}<8[/tex]

Therefore, the number [tex]\sqrt{63}[/tex] lies between two whole numbers 7 and 8.

Mention 3 places
where you can get
pre-approved for a
car loan

Answers

Answer:

Auto Credit Express, Carvana, Capital one auto loan

The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year. A possible formula for the concentration C as a function of year tis:
(a) C 85 +4.6t
(b) C-85-4.6t .
(c) C-85 +0.046t
(d) C-85 -0.046
(e) C = 85 (0.046)
(f) C-85 (0.954)
(g) C = 85 (1.046)
(h) C-85(1.46)
(i) C85(0.46)
(j) C-4.6 (0.85)

Answers

Answer:

[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.

Step-by-step explanation:

Equation for an concentration increasing exponentially:

The concentration after t years, considering that it increases exponentially, is given by the following equation:

[tex]C(t) = C(0)(1 + r)^t[/tex]

In which C(0) is the initial concentration and r is the growth rate, as a decimal.

The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year.

This means that [tex]A(0) = 85, r = 0.046[/tex]. Thus

[tex]C(t) = C(0)(1 + r)^t[/tex]

[tex]C(t) = 85(1 + 0.046)^t[/tex]

[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.

A student claims that they can use rules about the coordinates of point A to tell wether the cosine of the angle formed by the x-axis and the kind that connects the origin to point A will equal a positive or a negative value. Which of the following statements supports the student’s claim?
A) if the y-coordinate is positive, the cosine will equal a positive charge.

B) if the x-coordinate are negative, the cosine will equal a negative value.

C) if the x-coordinate is in Quadrant l, the cosine will equal a negative value.

D) if the x- and y-coordinates are negative, the cosine will equal a positive value.

Answers

9514 1404 393

Answer:

  B) if the x-coordinate is negative, the cosine will equal a negative value

Step-by-step explanation:

The cosine of the angle is the x-coordinate of the point where the terminal ray intersects the unit circle. Its sign will match the sign of the coordinates of point A on the terminal ray.

  if the x-coordinate is negative, the cosine will be negative

Which side lengths form a right angle?
Choose all answers that apply:

A) 3, square root 27, 6
B) 8, 15, 17
C) 5, 5, square root 50

Answers

Answer:

B and C

Step-by-step explanation:

Using the Pythagorean theorem a²+b²=c², those are the correct answers

PLEASE ANSWER!! Solve for angle Z using the Sine Law. Round to the nearest degree.

Answers

Answer:

Z = 51º

Step-by-step explanation:

sinZ/12.5 = sin76/15.5

multiply both sides by 12.5

sinZ = sin76/15.5 * 12.5

Use calculator

sinZ = 0.782496553448384

Z = arcsin 0.782496553448384

Use calculator again

Z = 51.48972926377471º

Rounded

Z = 51º

help................................................

Answers

9514 1404 393

Answer:

  B.

Step-by-step explanation:

Use t=0 and t=2 and locate the graph with those two points on it. (We choose these because the horizontal grid is 2 years for each grid line.)

For t=0, C(0) = 50000(0.9^0) -2000 = 480000

For t=2, C(2) = 50000(0.9^2) -2000 = 40500 -2000 = 38500

The only graph that has y-intercept of 48000 and crosses (2, 38500) is the one shown in choice B.

PLEASE HELP ME !!!! WILL GIVE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY

Answers

Answer:

(8x + 1)° + ( 4x+11)° = 180° (linear pair )

8x +1 + 4x +11 = 180

8x + 4x + 1 + 11 = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x= 168/12

x = 14

PLZ HELP ME!!!!

how much water must be evaporated from 32 ounces of a 4% salt solution to make an 8% salt solultion?

Answers

Answer:

16 ounces.

Step-by-step explanation:

An 8% solution is 2 times stronger than a 4% solution.

So in the 8% solution we will have 1/2 of the volume as a 4% , so 1/2 * 32

= 16 ounces of water must be evaporated.

The number 16 ounces of water must be evaporated from 32 ounces of a 4% salt solution to make an 8% salt solution.

What is a linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

To find the amount of water that must be evaporated from 32 ounces of a 4% salt solution to make an 8% salt solution:

0.96(32) - x = 0.92(32 - x)

30.72 - x = 29.44 - 0.92x

x - 0.92x = 30.72 - 29.44

0.08x = 1.28

x = 16

Therefore, 16 ounces must be evaporated.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ2

Steve earns extra money babysitting. He charges $37.00 for 4 hours and $64.75 for 7 hours. Let x represent the number of hours Steve babysits and y represent the amount he charges

Answers

Answer:$6.25

Step-by-step explanation:we have that

x------------------> represent the number of hours Steven babysits

y----------------- > represent the amount he charges

for x=6 hours

y=$37.50 ----------------> y/x=37.5/6=6.25

for x=8 hours

y=$50---------------------> y/x=50/8=6.25

therefore

y=6.25x

I’m having a hard time anyone knows??

Answers

Answer:

65

Step-by-step explanation:

See image below:)

the premeter of a rectangle is 326cm and its lenght is 98cm find its breath and area​

Answers

Perimeter = 2(length+breadth)

326= 2(98+b),

breadth= 65 cm

Area of rectangle = l×b = 98×65= 6370cm²

A, B&C form the vertices of a triangle.
CAB = 90°, ABC = 70° and AC = 9.5.
Calculate the length of AB rounded to 3 SF.

Please help :)

Answers

Answer:

I think this is right hope you understand

What are the coordinates of Point P?

Answers

Answer:

(-1.5, 0.5)

Step-by-step explanation:

x = -1.5

y = 0.5

(-1.5, 0.5)

On a coordinate plane, triangle B C D has points (negative 4, 1), (negative 2, 1), (negative 4, 3). Triangle B prime C prime D prime has points (negative 1, negative 4), (negative 1, negative 2), (negative 3, negative 4). Triangle BCD is rotated counterclockwise to form triangle B’C’D’. What is the angle of rotation? 45° 90° 180° 360°

Answers

9514 1404 393

Answer:

  90° CCW

Step-by-step explanation:

The transformation from B to B' is ...

  B(-4, 1) ⇒ B'(-1, -4)

  (x, y) ⇒ (-y, x) . . . . . matches the transformation for 90° CCW

Answer:

90 degrees

Step-by-step explanation:

50% of the trees are fruit trees .this means that?

Answers

Answer:

Half of the trees are not fruit trees

Answer:

It means that half of the trees are fruits while the other half sprouts vegetables.

Step-by-step explanation:

100% (trees) / 2 (types of trees, in this case, fruits and vegetables) = 50% (fruit trees) : 50% (vegetable trees)

Why is android sound louder then iPhone???
Answer ASAP
Cause my volume isn’t as loud as android and my speakers work fine and so does the volume?

Answers

Answer:

There are many outcomes or data that needs to be collected... like does the iPhone and android share the same speaker? or are your speaker grills blocked out by something? or is your iPhone old, because they do change the speaker each gen.

Find the ratio please help :mathematics

Answers

Answer:

answer is 19:13 .............

PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GET IT RIGHT

Answers

Answer:

neither, since the gradients are not the same, as well as the c value

Step-by-step explanation:

First line : y = -4x + 7

Second line : y = -4x + 3

We know that the standard form of equation of a line is y = mx + c

where :

m is the slope

c is the y intercept

Comparing both line equations with the standard form, we can notice that :

 Slope of the first line = -4

 Slope of the second line = -4

We know that Slopes of parallel lines are same

So, We can conclude that the given two lines are parallel to each other

Answer : Parallel because the slopes are the same

sometimes you have to divide the diamter by 2 to get the radius.
true
false

Answers

it is true

tbh am not sure

The answer is true.

Select the correct answer.
What is the factored form of this expression?
-12x+36
ОА.(x - 12)(x-3)
O B. (x - 6)^2
OC. (x + 6)^2
OD. (x-6)(x+6)

Answers

The answer is B

the method use to solved this is called foil

Will choose brainliest! Please help! (This is Khan Academy)

Answers

Answer:

Option B. A = (5/6)^-⅛

Step-by-step explanation:

From the question given above, we obtained:

(5/6)ˣ = A¯⁸ˣ

We can obtain the value of A as follow:

(5/6)ˣ = A¯⁸ˣ

Cancel x from both side

5/6 = A¯⁸

Recall:

M¯ⁿ = 1/Mⁿ

A¯⁸ = 1/A⁸

Thus,

5/6 = 1/A⁸

Cross multiply

5 × A⁸ = 6

Divide both side by 5

A⁸ = 6/5

Take the 8th root of both sides

A = ⁸√(6/5)

Recall

ⁿ√M = M^1/n

Thus,

⁸√(6/5) = (6/5)^⅛

Therefore,

A = (6/5)^⅛

Recall:

(A/B)ⁿ = (B/A)¯ⁿ

(6/5)^⅛ = (5/6)^-⅛

Therefore,

A = (5/6)^-⅛

A certain country has 586.08 million acres of forest. Every year, the country loses 7.92 million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left? (Use an equation to solve this problem.)

Answers

Answer:

At this pace the country will have only 237.6 million acres of forest left in 44 years.

Step-by-step explanation:

Given that a certain country has 586.08 million acres of forest, and every year, the country loses 7.92 million acres of forest mainly due to deforestation for farming purposes, to determine, if this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left, the following calculation must be performed:

Current amount - (amount lost per year x number of years) = 237.6

586.08 - (7.92 x X) = 237.6

586.08 - 7.92X = 237.6

-7.92X = 237.6 - 586.08

-7.92X = -348.48

X = -348.48 / -7.92

X = 44

Therefore, at this pace the country will have only 237.6 million acres of forest left in 44 years.

i need help! plz (listing BRAINLIST and giving points) ​:D​

Answers

Answer:

angle M = 60

angle Q = 70

Step-by-step explanation:

M 180/3 = 60

Q 180-40 = 140/2 = 70

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

3. An expandable cone-shaped funnel consists of two sections as shown. (a) What is the volume of the bottom section? (b) What is the volume of the top section?

Answers

Answer:

1. Volume of cone =  

where h is the height of the cone and r is the radius.

2. The bottom section is a cone with radius 6/2 = 3 (cm) and height= 8 cm

so the volume =  ()

3. The volume of the top section is the volume of the cone - volume of bottom cone, which we already found.

V(cone)=

V(top section)=192-24=168

Step-by-step explanation:

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