Mathematics College

use inductive reasoning to predict the next line in the sequence of computations.
1=1×1
1+7=2×4
1+7+13=3×7​

Answers

Answer 1

Answer:

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

Step-by-step explanation:

The computation of the next line in the sequence is shown below:

As we can see that there is an increase of 6 in the left side and on the right hand side there is an increase of one

So,

1 = 1 × n

1 + (1+6) = 2 × n

1 + (1+6) + (1+6+6) = 3 × n

So, the next line would be  

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

i.e.

1 + 7 + 13 + 19 = 4 × 10

As 1 + 7 + 13 + 19 = 40

And 40 = 4 × 10

Related Questions

What is the value of p when the expression 2(4 + x) is equivalent to 2(x + p)?

Answers

Answer:

p = 4

Step-by-step explanation:

[tex]2(x+p)=2(4+x)\\x+p=4+x\\p=4[/tex]

P=4 I believe so most likely yes

2/5 x 30 pls help me

Answers

Answer:

12

Step-by-step explanation:

Answer:

The answer is 12.

A group of 20 students attempting a MathematicalChallenge have an average age of 11. When their teacher is included their average age is12. What is the age of the teacher?

Answers

Answer:

32.

1st get the total age of the students

x/20 = 11

x=11x20

x =220 (total age of students)

add y ( teachers age) to the equation

(220 + y)/21=12

y= 32

Answer:

32

Step-by-step explanation:

20 * 11= 220

21 * 12= 252

252-220=32

PLEASE, PLEASE HELP WITH THIS SOON!
A restaurant customer left ​$1.10 as a tip. The tax was 4% and the tip was 10​% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answers

Answer:

all info is needed  answer of the total bill is:275 us

Step-by-step explanation:

10x1.10=11= tax

100/z=4/11

275

How to get 10 with the numbers 7, 11, 4 and 2 in that order?

Answers

Answer:

Huh!! What is this question supposed to mean?

FIND THE VALUE OF X PLEASE HELP ME

Answers

Answer:

x = 18

Step-by-step explanation:

4(18) = 72

2(18) - 10 = 26

4(18) + 10 = 82

72 + 26 + 82 = 180

18 the answer they were correct!! And I looked over ok let me stop with the !! I sound white well I looked over there work and it correct

what is the volume if this rectangular prism​

Answers

First take 15/4x6/5=4.5 now since there are four sections like this we need to multiply that by four 4,5x4=18. Now lets find the two ends (8/3x6/5)2=6.4. Now we can add our two values together. 18+6.4=24.4cm^3. So the answer is 24.4cm^3

Answer:

24.2^3cm is the correct answer .

15 points!!!
Write an
equation of the parabola shown.

Answers

Answer:

y=1/2x-4

Step-by-step explanation:

find the gradient and sub in to find y intercept.give me brainliest pls this took forever to do,

Write the percent as a fraction or mixed number in lowest term 74 3/8%

Answers

Answer:

222/2 = 111

8/2 = 4

74 /1

Step-by-step explanation:

please help asap !!! Which of the following points is a solution to the system of equations shown in the graph above?
A.(-2, 1)
B.(0, 0)
C.(0, 3)
D.(1, -2)

Answers

Answer:

a

Step-by-step explanation:

Which inequality is true if p=3?

A. 3p <9
B. 13 < 4p
C. 5p > 15
D.8 > 2p

Answers

Answer:

D

Step-by-step explanation:

2×3 = 6 which is less than 8

Which equation is true for the value b= 10? OA 2(b + 4) = 16 B. 2(b + 2) = 40 3(b - 2) = 24 OD 2(8 + b) = 42 o E. 31b-4) = 20​

Answers

Answer:

OC

Step-by-step explanation:

3(b-2)

3(10-2)

3(8)

24

4. A square has a perimeter of 28 units, an
ared of 49 units, and sides that are either
horizontal or vertical. The vertices are all
located in the same quadrant where the x
value is negative. What are the possible
coordinates of the square?

Answers

Answer:

7

Step-by-step explanation:

perimeter - 7+7+7+7=28

area - 7×7 = 49

it's a square so all sides are the same length.

area is length times width

perimeter is all sides added together.

A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
How much of the sample will remain after 1 year?

Answers

Answer:

Step-by-step explanation:

1.5×0.5^(⅙) ≅ 1.3 mg

Help me pls i don't got a lot of time

Answers

Answer:

true

Step-by-step explanation:

I swear I know

i know it

Lori has $450 in her bank account. She withdraws $20 a month for
her gym membership. Construct a linear equation to model Lori’s
bank balance for any given month.

Answers

Answer:

I cant give you a linear graph but i can give you the equation and you can graph it.   y=20x+450

Step-by-step explanation:

       

Answer:

Y = -20x + 450.

Step-by-step explanation:

Extra Points and brainliest! Question below

Answers

Answer:

14 one fourths

Step-by-step explanation:

First, we convert 7/2 into a fraction with the denominator of a four. To do this, we multiply the top and bottom by 2. 7*2 is 14, and 2*2 is 4, which gives us 14/4. This means that there are 14 one fourths in 7/2. Hope this helps!

Answer:

14 fourths

Step-by-step explanation:

Hey There!

So to solve this problem we need to divide 7/2 by 1/4

[tex]\frac{7}{2}divided by\frac{1}{4} =14[/tex]

Therefore 14 fourths can go into 7/2

Helllllllpppppp please help me

Answers

Answer:

i think maybe j that is what I think

Please find the circumference, will give brainliest!

Answers

Answer:

43.96

Step-by-step explanation:

help plssssssssssssssssssssssssssssssssssssssssssssssssssssssss
what is the volue of j?

Answers

Answer:

23 is the answer the J is acute but it has a vary so it is even smaller than 49 so it's like subtracting 26

Answer: j=27 degrees

49+j=76 because vertical angles are always congruent. Now that we know that, we can subtract 49 from 76 which equals 27 degrees and that's your answer!

Hope this helped you!

Find the volume of the triangular prism.
PLEASE HELP!

Answers

Answer:

53.76 cm³

Step-by-step explanation:

1/2(4.8)(3.2)(7)=53.76

The picture is quite blurry.  I think it's 4.8 at the base, but can't see for sure.

I thinks it’s 4.8 sorry if it’s wrong.

Help on question 5 please :))

Answers

Answer:

the answer is I LIKE YOUR CUT G

Step-by-step explanation:

your a bot at fortnite

Answer:

b. Substitute 8x+4 for y in the first equation.

Find the length of the third side. If necessary, round to the nearest tenth

Answers

Answer:

x=14.28

Step-by-step explanation:

24^2+x^2=28^2, Pythagorean theorem

x^2=28^2-24^2

x^2=(28+24)(28-24)

x^2=52*4

x^2=204

x is around 14.28

Patrick is reading a book about the history of baseball. The book is 210 pages long; 140 of the pages have illustrations on them. If Patrick opens the book to a random page, what is the probability that the page will have an illustration on it?

Answers

Answer:

Probability: 140/210= 14/21

The sum of 3 times the value of x and 2 is equal to less than 5 times the value of x. Which equation can be used to find the value of x?

A. 3x+2=4-5
B. 2x+3=4-5x
C. 3x+2=5x-4
D. None of these

Answers

sum is the answer to addition problem.

less than is subtraction and "times" is multiplication.

So we have

3x+2=5x-4

So the answer is C.

Also, i'm bored so imma solve it.

3x+2=5x-4

    -2      -2

3x=5x-6

-5x -5x

-2x=-6

/-2   /-2

x=3

---

hope it helps

7x2 + 4x - x2 whats the answer?!?

Answers

Answer:

14 + 2x I think

Step-by-step explanation:

Wait for more responses if needed

Answer:

[tex] {6x}^{2} + 4x[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex](7 {x}^{2} - {x}^{2} ) + 4x[/tex]

2) Simplify.

[tex] {6x}^{2} + 4x[/tex]

Therefor, the answer is 6x² + 4x.

23 + 7 + 15 =
Simplify each expression. Justify each step

Answers

23 plus seven is 30 and then you add the 15 which equals 45

A square notepad has sides that are 14 centimeters long. What is the notepads perimeter?

Answers

square has four sides
14x4=56

Answer:

56 cm (22.4 in)

Step-by-step explanation:

14+14+14+14=56 or 14x4=56

Robert has 7 pounds of ground beef. He is dividing the beef into burgers that are each 1/3 of a pound. How many burgers can he make

Answers

Robert can make 21 burgers

What is 21+G as an algebraic expression?

Answers

Answer:

i dont know

Step-by-step explanation:

lol

Answer:

(20 + 1) + G

Step-by-step explanation:

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