Mathematics High School

Finish the pattern, 1, 2, 6, 22, __, __?

Answers

Answer 1
The pattern is times 4, minus 2. So, 22 x 4 = 88-6 = 86, then 86 x 4 = 344-2 = 342
So,
1, 2, 6, 22, 86, 342 is your answer
Answer 2
I think the pattern goes like this 1, 2, 6, 22, 86, 342 

Related Questions

What is the 12th term of the sequence? 3, −9, 27, −81, 243, ...

531441
−531441
177147
−177147

Answers

The answer would be B. -531,441.

There are 2 ways you can find this.

A. You can find this by starting with 3, and multiply -3 then multiply -3 to each product after that 11 times. Or...

B. Simply find 3 to the 12th power. Then add a negative since each even term (term 2, 4, 6, etc) are negative.

I hope this helps!

A company spent 32% of its annual budget developing a new machine. What fraction of the company's budget was spent developing the new machine?

Answers

The answer is 8/25! This is because 32% is equal to 32/100, when you simplify this it equals 8/25.

We have been given that the company spent 32% of its annual budget developing a new machine.

Let us convert the percentage to fraction.

[tex]32 \%=\frac{32}{100} \\ \\ 32 \%=\frac{4\times 8}{4\times 25}\\ \\ \text{Cancel 4 from numerator and denominator}\\ \\ 32 \%=\frac{8}{25}[/tex]

Thus, when we convert 32% to fraction that will be equal to 8/25.

Hence, [tex]\frac{8}{25}[/tex] company's budget was spent developing the new machine.

What is true about side AB and side AD?

Answers

Side AB and side AD are perpendicular because they cross at a ninety degree angle, and the sides are also the same length. 

How much of a 14% iodine solution should be added to 89 ounces of a 47% iodine solution to get a 29% solution

Answers

whatever% of anything is just (whatever/100) * anything.

x = ounces of 14% iodine.

y = ounces of 29% iodine.

we know that in a 14% iodine solution, 14% is iodine and the rest is something else, we also know that "x" ounces of the solution have 14% of iodine, how much is that?  (14/100) * x, or 0.14x.

likewise, in the 89 ounces of 47% solution there is (47/100) * 89 of iodine.

and likewise as well, in "y" ounces of 29% iodine there is (29/100) * y, or 0.29y of iodine.

bearing in mind that, whatever "x" and "y" may be, x + 89 = y, and that the sum of the iodine amounts also will equate 0.29y.

[tex]\bf \begin{array}{lccclll} &\stackrel{ounces}{amount}&\stackrel{\%~of~iodine}{quantity}&\stackrel{iodine~oz}{amount}\\ &------&------&------\\ \textit{14\% solution}&x&0.14&0.14x\\ \textit{47\% solution}&89&0.47&41.83\\ ------&------&------&------\\ mixture&y&0.29&0.29y \end{array} \\\\\\ \begin{cases} x+89=\boxed{y}\\ 0.14x+41.83=0.29y\\ --------------\\ 0.14x+41.83=0.29\left( \boxed{x+89} \right) \end{cases} \\\\\\ 0.14x+41.83=0.29x+25.81\implies 16.02=0.15x \\\\\\ \cfrac{16.02}{0.15}=x\implies 106.8=x[/tex]

Divide 2y2 + 8 by 2y + 4. Which expression represents the quotient and remainder?



Answers

Final answer:

To divide 2y² + 8 by 2y + 4, use long division to find the quotient and remainder.

Explanation:

To divide 2y² + 8 by 2y + 4, we can use long division. Here are the steps:

Divide the first term of the dividend by the first term of the divisor, which gives us y.

Multiply the entire divisor by y to get 2y² + 4y.

Subtract 2y² + 4y from the dividend 2y² + 8 to get 4.

Next, divide 4 by 2y + 4, which gives us 2.

Finally, we have a remainder of 0.

Therefore, the quotient is y + 2 and the remainder is 0.

Rewrite the expression log(3x) as an equivalent logarithmic expression using only addition.

Answers

[tex]\log 3 + \log x[/tex]


3(−4x) + 3(5) = 12

−12x + 15 = 12

−12x + 15 − 15 = 12 − 15

−12x = −3

x =

Answers

x = -3 / -12 = 1/4 Answer

Answer:   1/4

don't forget to rate and thank plz.

The mean of a set of five numbers is 4.8. Given that the sixth number is x and the mean of these six numbers is 5.5, find the value of x.

Answers

Given that the mean of the five numbers is 4.8, the total of the numbers will be:
5×4.8
=24
after adding x, the total will be:
(24+x)
the mean will be:
(24+x)/6=5.5
solving for x we get:
24+x=33
hence
x=33-24
x=9

The sixth number is 9

Haley sings for $1,000 an hour. Her rate increases by 50% after midnight. If she sings one
night from 8:30 pm until 1:00 am, how much should she be paid?
a) $4500 b) $5000 c) $5500 d) $6000

Answers

The Answer is B) 5000$

Sharon wants to know the difference between the average amount she stacked and the average amount Diane stacked. Which operation would she use to find the difference?

Answers

Sharon would subtract the amount that she stacked from Diane to figure out the difference.

Hope this helped :D

Make a box ­and ­whisker plot of the data.

24, 18, 29, 21, 16, 23, 13, 11

Answers

To make a box and whisker plot you must first order the data:

11, 13, 16, 18, 21, 23, 24, 29

Then find the median:

19.5

Then split the data into two sections by the median:

11, 13, 16, 18 and 21, 23, 24, 29

Now find the medians of those sets

14.5 and 23.5

With this information we can conclude Option C is the correct plot

Hope this helps!
none of those are correct.
minimum-11
lower quartile-17
median-23.5
upper quartile-26.5
maximum-29

5/8 ≠ (3/4 + 1/16) because 5/8 < 3/4 EXPLAIN THIS PROBLEM AND WHAT IT MEANS

Answers

5/8 = 3/4+1/16 is false because, the final values compared on each side of equation is not the same

- 5/8 = 0.625
- 3/4+1/16 = 0.8125
 
0.625 = 0.8125, it is not equal but less than


Choose an example of a fixed expense and an example of a variable expense, and explain why they are classified that way.

Answers

Fixed costs are those that do not depend on the level of production of a company and whose only way to avoid them is to close the company. For example, the cost of renting the plant or machinery.
 Variable costs are those that depend on the level of production of the company. For example, the cost of raw material. In a company that produces juices, the bottles will be part of the cost of raw material, and the amount of bottles to use depends on the amount of juice to produce, if this amount increases the cost of raw material will also increase. On the other hand, the rental cost of the place where the juices are produced will be the same regardless of the amount of juices that are produced, for this reason it is considered a fixed cost.
Final answer:

Fixed costs, such as rent, remain constant regardless of production levels, while variable costs, like raw material expenses, will fluctuate based on the level of production.

Explanation:

Firms classify their costs into two categories: fixed costs and variable costs. Fixed costs are expenses that do not change regardless of the level of production. For instance, a lease on a retail space would be considered a fixed cost as it remains the same whether you sell a lot or a little. On the other hand, variable costs are directly tied to the level of production. For example, the cost of buying materials to produce a product tends to rise as the level of production increases. It's variable because the more you produce, the more materials you would need, and therefore the cost varies with the level of output.

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How can you prove a triangle is a right triangle? select one:a. use the distance formula to see if at least two sides are congruent.b. use the slope formula to see if any sides are perpendicular.c. use the distance formula to see if all three sides are congruent.d. use the slope formula to see if any sides are parallel?

Answers

B.
__________________

Which is the correct form of the quadratic formula? A) x = b ± b2 - 4ac a B) x = b ± b2 - 4ac 2a C) x = - b ± b2 - 4ac a D) x = - b ± b2 - 4ac 2a

Answers

Hello!

The quadratic formula is 

[tex]x = \frac{-b +- \sqrt{ b^{2}-4ac } }{2a} [/tex]

So the answer is D

Hope this helps!

The correct form of the quadratic formula is x = (-b±√(b² - 4ac)) / (2a).

Hence, option D) is the correct answer.

What is a Quadratic Equation?

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x using the quadratic formula;

x = (-b±√(b² - 4ac)) / (2a)

The correct form of the quadratic formula is x = (-b±√(b² - 4ac)) / (2a).

Hence, option D) is the correct answer.

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Algebra question ( Matrices and Determinants ) 20 points

Answers

The correct answer is option A
A. -30 
The determinant of B = -18*1 -3*4 = -18-12 = -30

katy buys ‘x’ cakes.
Gugu buys 3 times as many cakes as katy.
Deanna buys 2 more cakes than Katy.

Each cake costs 85p
The total of the cakes is £52.70

How many cakes did each girl buy?

Answers

Answers:
Katy bought 12 cakes
Gugu bought 36 cakes
Deanna bought 14 cakes

Explanation:
We are given that:
Katy bought x cakes 
Gugu bought 3 times as many as Katy. This means that Gugu bought 3x cakes
Deanna bought 2 cakes more than Katy. This means that Deanna bought x+2 cakes

Total number of cakes bought = x + 3x + x + 2 = 5x + 2 cakes

We know that the price of each cake is 85 p = £0.85 and that the total amount paid is £52.7
This means that:
(5x+2)(0.85) = 52.7
4.25x + 1.7 = 52.7
4.25x = 52.7 - 1.7
4.25x = 51
x = 51 / 4.25
x = 12

Now, we will get the number of cakes that each bought as follows:
Katy bought x cakes = 12 cakes
Gugu bought 3x cakes = 3(12) = 36 cakes
Deanna bought x+2 cakes = 12 + 2 = 14 cakes

Hope this helps :)

Answer:

Katy bought 12 cakes

Gugu bought 36 cakes

Deanna bought 14 cakes

Step-by-step explanation:

The point (-1.3, -1.7) is located in which quadrant?

Answers

Hello!

This point would be located in the third quadrant.

Why?

First Quadrant: (2, 2)
Second Quadrant: (-2, 2)
Third Quadrant: (-2, -2)
Fourth Quadrant: (2, -2)

How does the volume of an oblique cylinder change if the radius is reduced to 2/9 of its original size and the height is quadrupled?

A. V=2/81pir^2h
B. V=16/81pir^2h
C. V=4/9pir^2h
D. V=16/9pir^2h

Answers

New volume is given by:
New volume=(old volume)×(4×2/9×2/9)
simplifying the above we get:
New volume=(old volume)×16/81
Thus the new volume is 16/81 times the old volume
old volume=πr²h
Hence:
Answer:16/81πr²h


Multiply. 0.35 × 0.003 =

Answers

0.00105. or 21/20000,1.05x10^-3

Answer:

0.00105

Step-by-step explanation:

PLS HELP ME ASAP WITH 1!

BRAINLIEST WILL BE GIVEN HOPEFULLY

Do question 2 if u can, if u can’t it’s fine

(Random answers gets moderated)

Answers

All of these make use of the expansion
   (a + b)² = a² + 2ab + b²
You would do well to memorize this "formula." Of course, it also helps to be able to double (or halve) a number, and to know the squares of small integers.

1.
   x² +2x +1
   x² -6x +9
   x² +12x +36
   x² -0.4x +0.04
   4x² +28x +49
   9x² +30x +25

2.
   (x + 4)²
   (x + 3)²
   (x - 9)²
   (x - 5)²

3. (12/2)² = 36

4. ±2√49 = ±14

For which angle is secant undefined?
30°
45°
180°
270°

Answers

180
The secant is undefined at angle values that represent 1/4 and 3/4 of a full circle. At these angles, the triangle geometrically vanishes into a simple line segment on the Y axis. The value of the triangle's adjacent side is zero and division by zero is undefined.

Answer:

the answer is 180 degrees

Step-by-step explanation:

i used my head and my google maths


PLLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Find the value of n.

Answers

The answer to this question is 23. How you get this is by adding all the sides like this: 2n+6+135+151+140+63=540. Then you just solve the equation.

They traveled 200 kilometers in total, and they biked 40 kilometers more than they were bussed. how many kilometers did they travele by bike

Answers

Let the distance travelled by bus be x and the distance travelled by bike be (x+40)

So...

x + (x+40) = 200

2 x = 160 

1 x = 80            

200 - 80 = 120km by bike. 

A line has a slope of -5 and passes through (1,-1). Which is the equation of the line in point-slope form?

Answers

The general form for point slope is y-y1=m(x-x1). Just substitute the information. y+1=-5(x-1).

What is the length of an arc cut off by an angle of 3 radians on a circle of radius 8 inches?

Answers

A formula for arc length, s, given the radius, r and central angle, Ф (in radians) is s = r × Ф.

s = 8 × 3 = 24 inches

I need step by step instructions on how to get the y-intercept for the following function:

f(x)=x^3-18x^2+107x-210.

Answers

luktdkilfdiykfg;oizxkuilouyk7it8rl,kvkuc kugc ulv lug 

Given that f(x) = x2 − 4x − 3 and g(x) = the quantity of x plus three, over four, solve for f(g(x)) when x = 9. 



−6

3

6

9

Answers

Hello! To find the composition of functions we want to take all the x values in f(x) and replace them with g(x). Then to solve for a specific value, we plug in that value for x. Let's look at the steps below
[tex] f(x)=x^{2} -4x-3[/tex]
[tex]g(x)=\frac{x+3}{4}[/tex]

So we find
[tex]f(g(x))=f(g(9))=(\frac{9+3}{4})^2 - 4(\frac{9+3}{4})-3[/tex]
[tex] =3^2 - 4(3)-3 [/tex]
[tex]= 9-12-3=-6[/tex]
Now we want to find the solution when x is 9 so we plug in a 9 whenever we see an x




Final answer:

The solution to f(g(x)) when x = 9 is -6.

Explanation:

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the codomain), where each input is related to exactly one output.

Given:

f(x) = x2 - 4x - 3, g(x) = (x + 3) / 4

To find f(g(x)) when x = 9:

Calculate g(9): Substitute x = 9 into g(x) to get (9 + 3) / 4 = 12 / 4 = 3Substitute g(9) into f(x): Substitute g(9) = 3 into f(x) to get f(3) = 32 - 4(3) - 3 = 9 - 12 - 3 = -6

Therefore, f(g(x)) when x = 9 is -6.

I WILL GIVE BRAINLIEST The area of the surface of the trampoline (square) is equal to twice its perimeter. Find the dimensions. length= 4x ft., width= (x+6) ft.

FACTORING POLYNOMIALS/SOLVE THE EQUATION BY FACTORING HOMEWORK

Answers

Given that the area is equal to twice the perimeter and the dimensions are:
length=4x ft, width=(x+6) ft
the perimeter will be:
P=2(L+W)
P=2(4x+(x+6))
P=2(4x+x+6)
P=2(5x+6)
P=(10x+12)

Area of the rectangle is:
A=4x(x+6)
A=4x²+24x
but:
2P=A
thus
2(10x+12)=4x²+24x
20x+24=4x²+24x
thus
4x²+4x-24=0
x²+x-6=0
x²-2x+3x-6=0
x(x-2)+3(x-2)=0
(x-2)(x+3)=0
thus the answer is:
x=-3 or x=2
thus
length=4x=4*2=8 ft
width=(x+6)=(2+6)=8 ft

WILL VOTE BRAINIEST IF CORRECT(must be next few minutes): The formula for the area of circle A is Area=πr2 . Sector CAB is a fraction of circle A. In degrees, the fraction is θ/360∘ . In radians, the fraction is _____. Inserting this fraction into the formula for the area of a circle, and then simplifying, results in the formula _____.

(image attached)
choices: 2pi0, 0pi, 0/2pi, area=0r^2, area= 2pi0r^2, area= 0/2r^2

Answers

Final answer:

The fraction of the sector of a circle in radians is (θπ/180). Substituting this fraction into the formula for the area of a circle, and simplifying, results in the formula for the area of the sector being A = (θπ/360) * r^2.

Explanation:

In a circle, the angle in degrees is often converted to radians for calculations. A full circle is equivalent to 360 degrees or 2π radians. Therefore, if the sector angle is θ degrees, then in radians, the equivalent is (θ/360) * 2π = θπ/180.

Inserting this into the formula for the area of a circle, which is A = πr2, the area A of the sector becomes a fraction of the full circle's area, which is calculated as follows: (θ/360) * A = (θ/360) * πr2 = (θπ/180) * r2. Simplifying this results in the formula A = (θπ/360) * r2.

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Final answer:

For a sector in a circle, the fraction is θ/2π in radians. After substituting this into the formula for circle's area, we get the area of sector as Area = (θr²)/2.

Explanation:

The fraction in radians for a sector in a circle is θ/2π, because there are 2π radians in a whole circle. As the formula for the area of circle A is Area=πr², when we insert this fraction, which represents the proportion of the circle that Sector CAB occupies, we get the formula for the area of a sector: Area= (θ/2π) * πr². This simplifies to Area= (θr²)/2, as the π's cancel out. This formula says that the area of a sector is proportionate to its central angle and the square of the radius of the circle.

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Compared with people who do not have schizophrenia, synaptic pruning occurs __________ in people who do have the disorder. Which of the following is an interrogative sentence? A. Please don't go. B. They questioned where he was going. C. She isn't telling him where she is going. D. Where are you going? can someone please explain how to do this. A rod made from insulating material carries a net charge, while a copper sphere is neutral. The rod and the sphere do not touch. Is it possible for the rod and the sphere to (a) attract one another and (b) repel one another? Explain. At the start of the year northern lights had $8000 worth of merchandise. What do we know about northern lights? A. The company ended with a net income last year B. Its a retail business C. The company ended with a net loss last year D. Its a service business The Fergusons reported making the following payments during the year:State income taxes of $4,400. Federal tax withholding of $4,000.Alimony payments to Johns former wife of $10,000.Child support payments for Johns child with his former wife of $4,100.$3,200 of real property taxes.Sandy was reimbursed $600 for employee business expenses she incurred. She was required to provide documentation for her expenses to her employer.In addition to the $750 of Web design expenses, John attended a conference to improve his skills associated with his Web design work. His trip was for three days and he incurred the following expenses: airfare $370, total taxi fares for trip $180, meals $80, and conference fee of $200.$3,600 to Kid Care day care center for Samanthas care while John and Sandy worked.$14,000 interest on their home mortgage.$3,000 interest on a $40,000 home-equity loan. They used the loan to pay for a family vacation and new car.$6,000 cash charitable contributions to qualified charities.Donation of used furniture to Goodwill. The furniture had a fair market value of $400 and cost $2,000.a. What is the Fergusons 2017 federal income taxes payable or refund, including any self-employment tax and AMT, if applicable? (Use the 2017 AMT exemptions.) (Round your answer to 2 decimal places.) Describe what changes occur during electron capture. describe what changes occur during electron capture. the mass number and atomic number increases. the mass number and atomic number decreases. the mass number is unchanged and the atomic number decreases. the mass number and atomic number do not change. the mass number is unchanged and the atomic number increases. what planet has the largest known mountain in the solar system Two Moons and a period of rotation equal to 24.6 hours A town has a population of 5000 and grows at 2% every year. What will be the population after 5 years, to the nearest whole number? McCune Landscaping buys 100 shovels for $15 each. McCune sells all 100 shovels at $29.99. What is the profit? why might an artist use dissonance 99 POINTSsuppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 12 gallons of fuel, the airplane weighs 2176 pounds. when carrying 46 gallons of fuel, it weighs 2399 pounds. how much does the airplane weigh if it is carrying 54 gallons of fuel? Which two simple machines are employed in a pair of scissors?lever and inclined planeA: lever and wedgeB: wheel and axle and leverC: inclined plane and wedgeD: Description the fittest organisms in an environment survive and reproduce what is the name for this process During a recession, a printing company lays off five workers. Which type of unemployment is this? PLEASE I NEED HELP!!!!And as the time passed and the servants came in and stood waiting in the hall, his eyes began to blink anxiously, and he spoke of the rain in a worried, uncertain way. The minister glanced several times at his watch, so I took him aside and asked him to wait for half an hour. But it wasn't any use. Nobody came.Based on this excerpt, which best explains the irony of the title The Great Gatsby? A.The weather on the day of Gatsby's funeral matches the sadness of the occasion. B.It is unexpected for the hero and central character in the novel to die at the end. C.Gatsby's greatness is questioned because no one comes to his funeral. D.For a great man, rain is not a deterrent to mourners attending his funeral. Which is not a goal of the U.S. in Afghanistan? Explain how you would use equivalent fractions to solve 0.5 + 0.10 the largest doll is 12 inches tall. The height of each of the other dolls is 7/10 the height of the next larger doll. Write an expression for the height of the smallest doll. What is the height of the smallest doll? There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 5 or a multiple of 3?