Identify a pattern in each list of numbers. Then use this pattern to find the next number.

5, 12, 33, 96, 285, ___

Answers

Answer 1
Answer:  852

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

Explanation:

The given sequence is 5, 12, 33, 96, 285, ...

The jump from 5 to 12 is +7The jump from 12 to 33 is +21The jump from 33 to 96 is +63The jump from 96 to 285 is +189

The sequence of increases is: 7, 21, 63, 189

Then notice,

The jump from 7 to 21 is "times 3"The jump from 21 to 63 is also "times 3"The jump from 63 to 189 is also "times 3".

Assuming this pattern keeps up, the next increment will be 189*3 = 567

We add this increment to the last term of the original sequence

285+567 = 852

The sequence is now 5, 12, 33, 96, 285, 852, ...


Related Questions

How many solutions does the following system of equations have? 5x−2y=10 y=5/2x-5

Answers

Answer:

Infinite number of solutions

No unique solution

Step-by-step explanation:

5x - 2y = 10    (1)

y = 5/2x - 5       (2)

Multiply (2) by 2 to get
2y = 5x - 10  

Rewrite the above equation as 5x - 2y = 10 (3)

Since both equations are the same, we are provided with a single equation in 2 variables there are infinite solutions

Divide 4 and 5 over 6 ÷ negative 2 and 1 over 7.

Answers

Answer:

I don't get the question will please can u snap it so I can see it my self and I will help u

Answer: -2 1 over 2

Step-by-step explanation:

Solve for f can somebody help

Answers

Answer: f < 9

Step-by-step explanation:

first, cross multiply 2 and 2:

f - 5 < 4

f < 9

Answer:

f < 9

Step-by-step explanation:

=> (f-5)/2 < 2

multiplying both sides by 2

=> 2(f-5)/2 < 2×2

=> f-5 < 4

adding 5 to both sides

=> f-5+5 < 4+5

=> f < 9

is 1/8 equivalent to 2/12

Answers

Answer:

No

Step-by-step explanation:

Check by changing to a common denominator

Answer: no

Explanation: start by finding a common denominator in this case it’ll be 24
1 x 3 3 | 2 x 2 4
- = - - | - = -
8 x 3 24. | 12 x 2 24

After this you can see there’s a one number difference

*Please help*
Xavier bought a new boat for $24,000 in the year 2009. He knows that the value of the boat has depreciated linearly. If the value of the boat in 2010 was $18,500, what was the annual rate of change of the boat's value? Round your answer to the nearest hundredth if necessary.

Answers

Answer:

5500 is correct Answer.

Please mark me as brainlist answer.

mr drew wants to build a square sandbox with an area of 100 square feet. What is the length of wood Mr.Drew needs to.make the sides of the sandbox

Answers

Answer is 10’ boards to make a square
10’ x 10’ x 10’ x 10’ sandbox.

Reason

Area of a square is Side^2.

We know the area of the square is 100

So take √100 = 10

Problem solved!

I Use the quadratic equation to complete the following sentence
2 - 4x + 10 = 0
The quadratic equation has
Select One

Answers

Answer:

your answer is 7/2

Please this question correctly if you answer right I’ll give u brainlest

Answers

Answer:

Subtraction

Step-by-step explanation: Your subtracting 4 to the equation

subtraction property

What is an equation of the line that passes through the point ( − 3 , − 1 ) (−3,−1) and is perpendicular to the line x − 2 y = 6 x−2y=6?

Answers

The equation of the line passing through given points (-3, -10) and perpendicular to other is y + 2x + 7 = 0.

When the equation of line in point-slope form?A line's equation in point slope form is (y - y₁) = m. (x – x₁). As a result, the equation of a line with slope m passing through the origin is: y - 0 = m(x = 0), i.e. y = mx.where m is the line's slope and  (x₁,  y₁) are the coordinates of a provided point on the line .

The equation of the perpendicular line is given as;

x − 2y = 6

Write the equation in standard form;

y = x/2 - 3

Where, slope of the line m₁ is (1/2) and y -intercept is (-3).

The other line passing perpendicular on this line has a slope: m₂.

The relation between slopes of perpendicular lines are-

m₁ × m₂ = -1

m₂ = -1/m₁

m₂ = -1/(1/2)

m₂ = -2

Now, the coordinates of the line are: (-3, -1)

The equation of the line will be;

(y - y₁) = m₂ (x – x₁)

Put the values;

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

y + 1 = -2x - 6

y + 2x + 7 = 0

Thus, the equation of line is y + 2x + 7 = 0.

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Divide 556 by 4 USING LONG DIVISION.

What are the numbers under the 556?
Answer as 1st row under 556
Next row under
Next row under
Next row under
Next row under
Next row under
What is the final answer?

Answers

Answer: 139

Step-by-step explanation:

first, 4 can go into 5 once so you would put one down --> 5-5= 1

bring down the one and then put down the 5 from the tens place

4 can go into 15 three times which would be 15-12 = 3

so at the top, you would have 13 so far

then with the 3 left bring down the 6 from the hundreds place from the 556

lastly, since 4 can go into 36 nine times you would put 9 down next to 13 on the top which would make it 139

(Sorry if it doesn't make that much sense)

HELP PLEASE!!!!!! Anaya bought a sweater that was on sale. The sweater originally cost $34.50 but was purchased for $27.60. What percentage of the original price was the discount?

Answers

Answer: 80%. Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

To find the percentage, divide the sale cost by the original cost:

27.60/34.50

Let's multiply both sides by 10 to make the operation easier:

27.6/34.5 ( I eliminated the zero's because they kind of have no use) -->

276/345, now solve:

276/345 = 0.8

0.8 = 80%

The percentage is 80%.

A quadratic function has A) straight lines that do both increase, decrease or stay constant on the same graph. B) curved lines that only increase or decrease. C) curved lines that do both increase and decrease on the same graph. D) straight lines that only increase or decrease. E) straight lines that do both increase and decrease on the same graph

Answers

Slay you got to do some things with your hands on you lol I

Write a subtraction expression using integers that equals -6

Answers

If it’s asking for an equation than -10-(-4)=-6 should work but I’m not sure

(13) Determine if the following equation has one solution, no solution, or infinite
solutions: 15y + 14 = 7(2y + 2).

Answers

Answer:

y = 0, one solution

Step-by-step explanation:

15y + 14 = 14 y + 14

-14y          -14y

y + 14 = 14

-14        -14

y = 0

so one solution

The answer to the question would be
zero, one solution.

The mean diameter of holes produced by a drilling machine is 4.05mm and the standard deviation of the diameter is 0.0028mm. for 20 holes drilled using this machine. determine , correct to the nearest whole number how many hare likely to have diameters of between
a) 4.048 and 4.0553
assuming they are normaly distributed

Answers

The hole having the diameters likely between 4.048 and 4.0553 is 17.

Maximum value of diameter = 4.05 + 0.0028 = 4.0528

Minimum value of diameter = 4.05 - 0.0028 = 4.0472

So, the diameters of the holes are in AP with common difference

= (2 × 0.0028) / 20 = 0.00028

So, the AP is:

4.0472, 4.04748, 4.04776, 4.04804, …, 0.0.0528

So, the first 3 terms are not included between 4.048 and 4.0553

Hence, the answer is 20 - 3 = 17

Therefore, the hole having the diameters likely between 4.048 and 4.0553 is 17.

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Fill the table below using the function f(x) = -2x^2 +5x-3
x | f(x)
-1.4 |
-0.7 |
0 |
0.7 |
1.4 |

+ Explain?

Answers

The complete table of values is

x     |   f(x)

-1.4  |  -13.92

-0.7 |  -7.48

0    |  -3

0.7 |   -0.48

1.4 |  0.08

How to fill the table using the function?

The function is given as:

f(x) = -2x^2 +5x - 3

Next, we calculate the values of the functions at the given x values

So, we have:

f(-1.4) = -2(-1.4)^2 + 5(-1.4) - 3 = -13.92

f(-0.7) = -2(-0.7)^2 + 5(-0.7) - 3 = -7.48

f(0) = -2(0)^2 + 5(0) - 3 = -3

f(0.7) = -2(0.7)^2 + 5(0.7) - 3 = -0.48

f(1.4) = -2(1.4)^2 + 5(1.4) - 3 = 0.08

Hence, the complete table of values is

x     |   f(x)

-1.4  |  -13.92

-0.7 |  -7.48

0    |  -3

0.7 |   -0.48

1.4 |  0.08

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Which equation represents the graph of this function?
_
A ) f(x)= √ x −4
____
B) f(x)= √x + 4
____
C) f(x)= √x - 4
_
D) f(x)= √x + 4

Answers

Answer:

USE air math

Step-by-step explanation:

hope that helps

4x^2-7; x= -2

4x^2-7x =

Answers

Step-by-step explanation:

f(x) = 4x² - 7 , x = -2

= 4x² - 7

= 4.(-2)² - 7

= 4.4 - 7

= 16 - 7

= 9

a boy weighs 90 pounds on earth but 34.5 pounds on mars how much does a 600 pound man weigh on mars

Answers

Answer:

230lb

Step-by-step explanation:

The Boy weighs 90 lb on earth and 34.5 on the Moon.

90/34.5= 2.608695652

The boys weight on earth divided by his weight on the moon is equal to the difference in weight

So for a 600 lb guy

600/2.608695652 = 230

The guys Earth weight divided by the difference in weight is equal to his moon weight.

The perimeter of a rectangle is 28 cm. Which of the following express the area of the rectangle in terms of the width x?

Answers

Answer:

14x−x

2

Step-by-step explanation:

Perimeter is 2x + 2y = 28 (y is the length BTW)

To find y, transfer equations

28-2x=2y

Divide both sides by 2

14-x = y

Now you have your length in terms of x

Multiplt length and width

x(14-x)

14x - x {}^{2}14x−x

2

Simplify the expression.
(4 × 6)y=

Answers

Answer:

24y^2

Step-by-step explanation:

4y x 6y =

24y ^2

24y to the second power

HELP ME AGINS SNDJJEJEJE

Answers

Answer: 0

Step-by-step explanation:

-2+-1 = -3

-3+0 = -3

-3+1 = -2

-2+2 = 0

The percent of 12th graders in a certain state who have ever used cigarettes for each of the years 2000 through 2014 can be modeled by p= -1.773t+60.442, where p is equal to the percent
and t is equal to number of years after 2000. When will the percent be less than 30 %?
The percent will be less than 30% after the year
(Round to the nearest year as needed.)
example Get more help -

Answers

The percent will be less than 30% after the year 2017

Let 'p' be the percent of 12th graders in a certain state who have ever used cigarettes for each of the years 2000 through 2014.

Let 't' be the number of years after 2000.

We have to find when the percent is less than 30%.

The function modelling the percent and the number of years through 2000 and 2014 is p= -1.773t+60.442

So first we need to find the number of years corresponding to 30%.

Substitute p = 30 in the above linear equation.

i.e., 30 = -1.773t+60.442

-1.773t = 30 - 60.442 = -30.442

Therefore, t = 30.442/1.773 = 17.17 ≈ 17 years

Since t denotes the number of years after 2000, when t = 17, the year is 2000+17 = 2017

So the percent will be less than 30% after the year 2017

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determine the values of the missing entries. reduce all fractions to the lowest terms
9x-6y= 18

Answers

By evaluating the given linear relation, we conclude that the complete table is:

x:  2, 0, 1, 14/3

y: 0, -3, -3/2, 4

How to determine the values of the missing entries?

Here we have the linear relation:

9x - 6y = 18

And we want to complete the given table, to do so, we just need to evaluate the relation in the given values and with that we can find the missing ones.

For example, the first pair has y = 0.

Evaluating that we get:

9x - 6*0 = 18

9x = 18

x = 18/9 = 2

Then we have the pair (2, 0).

The second has x = 0, replacing that we get:

9*0 - 6*y = 18

y = 18/-6 = -3

So we have the pair (0, -3)

The third has x = 1, replacing that:

9*1 - 6y = 18

-6y = 18 - 9 = 9

y = 9/-6 = -3/2

So we have the pair (1, -3/2)

The last value on the table is y = 4, replacing that:

9x - 6*4 = 18

9x - 24 = 18

9x = 18 + 24 = 42

x = 42/9 = 14/3

Then the complete table is:

x:  2, 0, 1, 14/3

y: 0, -3, -3/2, 4

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find the distance between the two points in simplest radical form. (-2,1) and (-8,-7)

Answers

Answer:

10

Step-by-step explanation:

Use the distance formula to determine the distance between two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]

The difference between two numbers is 2811.
The bigger number is 4200.
What is the smaller number?

Answers

The smaller number is 1389. We get this by using the technique of subtracting the bigger from the smaller number and equate it to the difference product.

Given the difference between two numbers is 2811.

The bigger number is 4200.

The smaller number is = ?

let the smaller number be 'x'

as the statement says difference between two numbers = 2811

Subtract the largest number from the smallest number to determine the difference between two integers. This sum is a product, and the difference between the two values is the product.

⇒ bigger number ₋ smaller number = 2811

⇒ 4200 ₋ x = 2811

⇒ ₋ x = 2811 ₋ 4200

⇒ ₋ x = ₋ 1389

cancel the negative sign from both sides.

x = 1389

hence we get the smaller number as 1389.

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|1/4 x +2| -3 =5 solve for x and graph on number line

Answers

The value of x on the number line is 24 and - 40

A number line in elementary mathematics is a representation of a graduated straight line that acts as an abstraction for real numbers, represented by the letter R. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

When seen as a geometric space, namely the one-dimensional Euclidean space, the number line, also known as a real line in advanced mathematics, is technically defined as the set R of all real numbers. It can be conceptualized as a linear continuum, metric space, topological space, vector space (or affine space), measure space, or topological space.

The given equation is

[tex]|\frac{1}{4}x+2 | -3=5[/tex]

Solving the equation:

[tex]or,|\frac{1}{4}x+2 | =5+3\\or,|\frac{1}{4}x+2 |=8\\or,\frac{1}{4}x+2=\pm8\\or,x+8=\pm32\\or,x=-8\pm32[/tex]

Now we take the two separate values of x:

either x=-8+32 or x=-8-32

or,x=24 or x=-40

The value of x is 24 and - 40.

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Please solve this! I need it asap!

Answers

The differentiation of the given function is expressed as; 2x - √3(y) = 0

How to carry out Differentiation?

We want to differentiate the function;

x² - √3(xy) + 2y² = 12

To differentiate this means to express as;

x²(dy/dx)  - √3(xy)(dy/dx) + 2y²(dy/dx) = 12(dy/dx)

This gives us;

2x - √3(y) + 0 = 0

2x - √3(y) = 0

Thus, the differentiation of the given function is expressed as;

2x - √3(y) = 0

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Translate the sentence into an equation.
Five times the sum of a number and 3 equals 7.
Use the variable x for the unknown number.

Answers

Answer:

(5x) + 3 = 7

Step-by-step explanation:

Times means 'The answer when you multiply' So we are working in multiplication. ( x )

5x is the multiplication.

It says 'and' which can also mean addition. So we add 3. So far our equation is: (5x) + 3 (Brackets are needed as we are multiplying 5 by x and not multiplying 5 by x+3)

Lastly it says the answer must be 7 so we add that at the end. So the answer is:

(5x) + 3 = 7

Incorrect
7(14+49)
7(2+49)
Question 5
60
0/1 pts
Fabric is sold in stores from bolts that are 45 or 60 inches wide. What is the
width, in inches, of the widest strips of fabric you can cut from either bolt
without wasting any of the fabric if each strip has the same width?

Answers

Answer:

15

Step-by-step explanation:

The greatest common factor of 45 and 60 is 15.

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