the 10th term of the arithmetic 5x + 6, 11x + 2, 17x - 2,

Answers

Answer 1

Answer:

t10 = 59x - 30

Step-by-step explanation:

a = 5x + 6

d = 11x + 2 - 5x - 6

d = 6x - 4

n = 10

tn = a + (n - 1)*d

t10 = 5x + 6 + (10 - 1) ( 6x - 4)

t10 = 5x + 6 + 9(6x - 4)

t10 = 5x + 6 + 54x - 36

t10 = 59x - 30

Check by finding the 3rd term

d = 6x - 4

n = 3

a = 5x + 6

t3 = 5x + 6 + (3-1)*(6x - 4)

t3 = 5x + 6 + 2(6x - 4)

t3 = 5x + 6 + 12x - 8

t3 = 17x - 2 which is exactly what it should be.


Related Questions

What is the inverse of φ?

Answers

The inverse of a function is a function that "undoes" the original function. If f is a function and x is an element in the domain of f, then the inverse of f is denoted as f^-1(x) and is defined as the element in the domain of f such that f(f^-1(x)) = x.

The symbol "φ" (phi) is not a commonly used notation for any function. It is a Greek letter and can be used in different fields such as physics, mathematics, and engineering to represent different things depending on the context.

It is important to note that not all functions have inverses. A function has an inverse only if it is a bijective function, which is a function that is both injective and surjective, meaning that it maps every element of the domain to a unique element in the range and vice-versa.

So to find the inverse of a function, you have to first make sure that the function is bijective. If so, you can find the inverse function by switching the positions of x and y, then replacing y with f^-1(x) or x with f^-1(y) and solving for the new x or y.

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When you are going from city w to city x, at city w, there is a milestone, after travelling for a while, you come across another milestone. How far city x from city w

Answers

Answer: Hello your question is quite vague but i will provide a general answer within the scope of your company

answer : D = Y + Z  

Step-by-step explanation:

Moving from city W to city x

Given that there is a milestone at the beginning of the journey ( i.e. at City W )

and Another milestone is Located between City W and City X after traveling for time T

lets assume

distance between Milestone at W and milestone between W and x =  Y

distance between City x and milestone between City W and City x = Z

Finally to determine the Distance between City x and city W

D = Y + Z  

A cylinder shaped dispenser holds 5,652 cubic centimeters of liquid soap and is now full. The radius of the dispenser is 7.5 centimeters. What is the difference between the height of the soap in the full dispenser and the height when 4,239 cubic centimeters of soap remains in the dispenser

Answers

On solving the provided question, we can say that difference of cylinder between the height of the soap 8 cm.

what is cylinder?

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

[volume of cylinder]=pi*r²*h- =  h=[volume of cylinder]/(pi*r²)

Volume=5652 cm³

r=7.5 cm, so,  h= [tex][5652]/(3.14*7.5²) = h=32 cm[/tex]

the height of the soap in the full dispenser is 32 cm

the height when 4,239 cubic centimeters of soap remains in the dispenser is h  [tex]=[4239]/(3.14*7.5²) = h=24 cm[/tex]

the difference is [tex]32-24 = 8 cm[/tex]

the answer is

8 cm

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Two angles are a linear pair. Their measures are represented by x+10 and 3x+10. What are the measures of the angles

Answers

Answer:

50°  and  130°

Step-by-step explanation:

Linear pair of angles are supplementary, which means their sum is 180

x + 10 + 3x + 10 = 180

4x + 20 = 180

4x = 160

x = 40

x + 10 = 40 + 10 = 50°

3x + 10 = 3(40) + 10 = 120 + 10 = 130°

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Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 2x2 + 16
g(x) = √5x^3

Answers

The required function that gives [tex]f(g(x))[/tex] that represents the total amount of money Raul earned is

                [tex]f(g(x)) = 10x^{3}+16[/tex]

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Mostly functions are written as f(x) where x is the input of the function.

Given,

[tex]f(x) = 2x^{2}+16[/tex]

[tex]g(x)[/tex] = [tex]\sqrt{5x^{3} }[/tex]

If [tex]f(x)[/tex] represents amount of money Raul earns per ticket and [tex]g(x)[/tex] represents number of tickets Raul sells per hour, where x is the number of hours he works, then,

[tex]f(g(x))[/tex] represents the total amount of money Raul earned in a day.

To find [tex]f(g(x))[/tex], substitute value of [tex]g(x)[/tex] in the place of x in function [tex]f(x)[/tex] .

[tex]f(g(x))[/tex] = [tex]f[/tex]([tex]\sqrt{5x^{3} }[/tex])

          = 2(    [tex]\sqrt{5x^{3} }[/tex])² +16

          = 10x³ + 16

Therefore the required function is [tex]f(g(x)) = 10x^{3}+16[/tex].

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HEEEEEELLLPPPPPPPPP!!!!!!!!!!!!!!

Answers

A and B for sure, Im unsure about D but if you’re solving an expression using a formula you would usually end up with another expression as your sum. I hope this is somewhat helpful
Yeah bro bro bro bro bro

ASAP

Just the answer pls

Answers

Answer:

D

Step-by-step explanation:

Simplify 6(3x+4y)+2(x+2y)

Answers

Answer:

20x + 28y

Step-by-step explanation:

Answer:

6(3x+4y) + 2(x + 2y)

18x+24y + 2(x + 2y)

20x + 28y

no fake answers for the last time and no links please I will actually report you. answer the question and EXPLAIN it!!!!​

Answers

Answer:

Well, if the inequality is g<6, the second graph would be correct. (6 with the open circle)

Step-by-step explanation:

A open circle indicates that the solution is greater than or less than. There is a simple way I like to do it, if the sign is going to the right, you would have to graph to the left. That is just a simple way you can do it. But, the answer is the second graph. (Top left corner)

Find the area of a square with a length of ((n ^ 3 * m ^ 4)/(nm)) ^ 2 inches.

Answers

The area of a square with a length of ((n ^ 3 * m ^ 4)/(nm)) ^ 2 inches is n^6*m^8/(nm)^4.

Define square.

In geometry, a square is a flat shape with four equal sides and four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).

Write general formula to find area of square.

The general formula to find area of square is A=a^2 where is a is length of sides.

The area of a square is given by:

A= l^2 where l is the length

So l= n^3*m^4/(nm)^2

A=l^2= n^6*m^8/(nm)^4

So area of the square is n^6*m^8/(nm)^4.

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Two-hundred people are at a wedding. The dinner tables seat 10 people. How
many tables are needed to seat all of the guests?
tables

Answers

Answer:

20 tables

Step-by-step explanation:

you can set up an equation where P/10=tables where P=number of people. so since you have 200 people coming, so you divide 200 by 10 and you will have 20 tables

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls mark brainliest

Right triangle ABC is similar to right triangle DEF. If the side lengths for triangle ABC are 15, 20 and 25, respectively, which values could represent the side lengths of triangle DEF

Answers

Answer:

D. 18, 24, 30

Step-by-step explanation:

The easy way to do this is to look for the answer with equal differences between the numbers:

24-18 = 6

30-24 = 6

We can do this because we know the triangles are similar. The difference between 15, 20 and 20, 25 is equal.  

We often hear "Practice makes perfect" or "Practice makes better". Give reasons why the relationship might not be stronger between hours of practice and points per game.

Answers

Answer:

Hope this is right :)

Step-by-step explanation:

Practice makes perfect because by reapeting something multiple times you will adventually get better

For extra points. Ok

if logx 27 +logy 4 =5 and log x 27 -logy 4=1 find x and y​

Answers

Answer:

[tex](x,y)\rightarrow(3,2)[/tex]

Step-by-step explanation:

I assume you mean [tex]\log_x(27)+\log_y(4)=5[/tex] and [tex]\log_x(27)-\log_y(4)=1[/tex]:

[tex]\biggr(\log_x(27)+\log_y(4)\biggr)-\biggr(\log_x(27)-\log_y(4)\biggr)=5-1[/tex]

[tex]2\log_y(4)=4\\\log_y(4)=2\\4=y^2\\2=y[/tex]

[tex]\log_x(27)+\log_y(4)=5\\\log_x(27)+\log_2(4)=5\\\log_x(27)+2=5\\\log_x(27)=3\\27=x^3\\3=x[/tex]

Which equation represents the partial sum of the geometric series?
4
Σ (125)(1/5)^n-1
n=1

Answers

Answer:

Option 1

Step-by-step explanation:

Given expression representing the partial sum of the geometric series,

[tex]\sum_{n=1}^{n=4}(125)(\frac{1}{5})^{n-1}[/tex]

Expression that represents the sum of a geometric series is,

[tex]\sum_{n=1}^{n}(a)(r)^{n-1}[/tex]

Here, n = number of terms

a = first term

r = common ratio

By comparing both the expressions,

n = 4

a = 125

r = [tex]\frac{1}{5}[/tex]

From the given options,

Option 1

First term 'a' = 125

Common ratio 'r' = [tex]\frac{25}{125}[/tex] = [tex]\frac{1}{5}[/tex]

Number of terms 'n' = 4

Therefore, Option 1 will be the correct option.

Which of the following expressions represents 237.45 written in expanded form in terms of the sums of powers to tens

Answers

The expanded form in terms of the sums of powers to tens of 237.45 is [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex]

As per the given data the given decimal number is 237.45.

Here we have to determine the expanded form in terms of the sums of powers to tens.

Expanded Form: In its extended sense, A number is divided up into its place values, then expanded to represent the value of each digit.

Then N can be written in expanded in for terms of 10 is

[tex]$$\Rightarrow N=a \times 10^2+b \times 10^1 + c \times 10^0+d \times 10^{-1}+e \times 10^{-2}$$[/tex]

Let the given number 237.45 is denoted by N.

N = 237.45

First, write the expanded form of a number before the decimal place.

Then using [tex]$\circledast$[/tex], we have

[tex]& N=2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times \frac{1}{10}+5 \times \frac{1}{10^2} \\[/tex]

[tex]& N=2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2} \\[/tex]

237.45 = [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex]

Therefore the expanded form of 237.45 is [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex].

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Which of the following expressions represents 237.45 written in expanded form in terms of the sums of powers to tens

A. [tex]$2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}$[/tex]

B. [tex]$237 \times 100+45 \times 1 / 1000$[/tex]

C. [tex]$2 \times 10^2+3 \times 10^1+7 \times 10^0-4 \times 10^1-5 \times 10^2$[/tex]

D. 200+30+7+0.4+0.05

The sum of the first 6 terms of a geometric series is 9 times the sum of the first 3 terms, find the common series.​

Answers

The exponential function y = a · 2ⁿ ⁻ ¹, where a is any real number, is generates the geometric series.

How to derive the formula of a geometric series

Geometric series are sets of elements generated by exponential functions of the form:

y = a · bⁿ ⁻ ¹, where a and b are real numbers and n is a natural number.

Where:

a - Value of the first element of the series.b - Increase rate.n - Index of the n-th element.y - Value of the n-th element.

According to the statement, we derive the following expression between the two sums:

9 · a · (1 + b + b²) = a · (1 + b + b² + b³ + b⁴ + b⁵)

Now we proceed to simplify and find the value of b:

8 · a · (1 + b + b²) = a · (b³ + b⁴ + b⁵)

8 · (1 + b + b²) = b³ + b⁴ + b⁵

b⁵ + b⁴ + b³ - 8 · b² - 8 · b - 8 = 0

Then, the value of b by numerical methods is equal to 2.

The geometric series is generated by the exponential function y = a · 2ⁿ ⁻ ¹, where a is any real number.

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Please help me worth 18 points

Answers

Answer:

B

Step-by-step explanation:

[tex]1)\cos\ Q = \frac{PQ}{QR} = \frac{\sqrt{7}}{5}[/tex]

[tex]2)\ PQ = 2XY, PQR\ and\ XYZ\ - similar\ =>\ RQ = 2YZ\ and\ PR = 2XZ[/tex]

[tex]3)\ Sin\ Z = \frac{XY}{YZ} = \frac{\frac{PQ}{2}}{\frac{QR}{2}} = \frac{PQ}{QR} = \frac{\sqrt{7}}{5}[/tex]

[tex]Answer: \ \frac{\sqrt{7}}{5}[/tex]

b. The linear scale factor of two similar
shapes is 14:7. If the area of the
bigger shape is 490cm, what is the
area of the smaller shape?​

Answers

Answer:

Area of smaller shape = 245 cm²

Step-by-step explanation:

Given:

Scale factor ration [Big shape to small shape] = 14:7

Area of bigger shape = 490 cm²

Find:

Area of smaller shape

Computation:

Area of smaller shape = Area of bigger shape[7 / 14]

Area of smaller shape = 490[7 / 14]

Area of smaller shape = 490[7 / 14]

Area of smaller shape = 35[7]

Area of smaller shape = 245 cm²

-5 1/4 - (-7 1/2)
A: -12 3/4
B: 2 3/4
C: -2 1/4
D: 2 1/4​

Answers

Answer:

B

Step-by-step explanation:

-5-(-7)=2 1/4+1/2=3/4

a tropical punch recipe calls for 1.5 L of coconut milk. How many millimeters of coconut milk are in the recipe?

Answers

Answer:

1500 ml

Step-by-step explanation:

Answer:

1500 kkkkkkkkkkkkkkkkk

I need help i attach a photo of the math ​

Answers

Answer:

279936

Step-by-step explanation:

i put it in the calculator. I honestly get how to do the exponents themselves but not dividing with them.

Find the missing length of the figure.

Answers

Answer:

x:16

this is related to the Pythagorean theorem

The average age of a university student was found to be 24 with a standard
deviation of 2. What age group is within 2 standard deviations of the mean?

Answers

The age group that falls between two standard deviations is 20 to 28.

What is the standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean.

Given, The average age of a university student was found to be 24 with a standard deviation of 2.

Therefore, age group is within 2 standard deviations of the mean is,

24 + 2×2 = 24 + 4 = 28,

And 24 - 2×2 = 24 - 4 = 20.

So, The age group between 20 to 28 falls within 2 standard deviations of the mean.

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During two games, the number of points scored by a basketball team Increased from 75 to 87. By what percentage

did the number of points scored increase?

Answers

The percentage of increase in the number of points is 16 %

What Does Percent Mean?

A ratio or figure stated as a fraction of 100 is called a percentage. The percent marker is frequently used to indicate it,%

given the data,

The basketball team's total point total was 75.

The basketball team's enhanced point total was 87.

The difference between the basketball team's total points scored and its increased points are the increase in points.

The increase in points = 87 - 75

                                     = 12 points

So, the percentage increase in points = ( increase in points/number of points scored by the basketball team ) x 100

The percentage increase in points = ( 12 / 75 ) x 100

                                                         = 0.16 x 100

                                                         = 16 %

Therefore, the percentage increase is 16 %

Hence, the percentage of increase in the number of points is 16 %

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please answer this
i really need it
i will give u a crown

Answers

Answer:

i am not to sure but if i am corroct it IS polynomial

Step-by-step explanation:

hope this helps

What is the IQR?
Please help

Answers

Answer:

A) 7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Q1 = 34

Q3 = 41

41- 34 = 7

What is the domain of √?

Answers

The domain of √ (square root) is all non-negative real numbers.

The domain of a function represents the set of all input values that can be used in the function without resulting in an undefined or meaningless output.

The square root function, represented by , is only defined for non-negative real numbers. This is because the square root of any negative number is not a real number, it becomes an imaginary number.

This is because in order for the square root to be defined, the radicand (the value inside the square root symbol) must be greater than or equal to zero. Therefore, any real number greater than or equal to zero can be used as the input for the square root function, making its domain all non-negative real numbers.

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You want to ride your bike down the street to your friend's house, which is 340 meters from your house. The trip takes you 68 seconds from start to finish. How fast are you traveling on your bike?

Answers

The speed of the Bike is 5 meters per second

What is speed?

Speed is a scalar quantity that describes how fast an object is moving . It is defined as the distance an object travels divided by the time it takes to travel that distance. The units of speed are typically meters per second (m/s) or kilometers per hour (km/h).

To find out how fast you are traveling on your bike, you can use the formula:

Speed = [tex]\frac{Distance}{Time}[/tex]

In this case, the distance is 340 meters and the time is 68 seconds. So, you can plug these values into the formula and get:

Speed = 340 meters / 68 seconds

Speed =  [tex]\frac{340 meters}{68 seconds}[/tex]  =   5 meters per second

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If m/KLH = 134°, solve for x.
19=134+2
H
25°
N
(4x + 9)°
L
K

Answers

Step-by-step explanation:

KLH is a triangle, and the sum of all angles in a triangle is 180°.

now, we know the angle at L = 134°.

because of the symmetry of the angles in such a regular parallelogram, the upper angle at H is 25°, and the lower angle at H (one of the angles in our triangle) is (4x + 9)°.

and the upper angle at K is (4x + 9)°, and the lower angle at K is 25°.

so, we have

180 = 134 + 25 + (4x + 9) = 159 + 4x + 9 = 168 + 4x

12 = 4x

x = 12/4 = 3

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