if an arithmetic sequence has a 10th term of 17 and a 14th term of 30. find the common difference.​

Answers

Answer 1

Answer:

               [tex]\bold{d=\dfrac{13}4=3\dfrac14}[/tex]

Step-by-step explanation:

[tex]a_{10}\,,\ _{\{+d\}}\ \ a_{11}\,,\ _{\{+d\}}\ \ a_{12}\,,\ _{\{+d\}}\ \ a_{13}\,,\ _{\{+d\}}\ \ a_{14}\quad\implies\quad\ a_{14}-a_{10}=4d\\\\4d=a_{14}-a_{10}\\\\4d=30-17\\\\4d=13\\{}\ ^{\div4\quad\div4}\\d=\dfrac{13}4=3\dfrac14[/tex]


Related Questions

What does losing 100 points do to an A-? What will my overall grade be after I lose the points?

I don’t know if this is different for other countries but I’m in America.

Answers

Answer:

Well from all the exams and assignments I've had, 100 points is the full grade so losing 100 points would mean you would fail with a 0

Ben made some apple pies. For every 4 cups of butter, he added 3 cups of water. The ratio of butter to water in Ben’s apple pies is ____.

3 over 4
4 over 3
3
4

Answers

4:3 so B


hope this helps !!

Answer:

i think 3:4 dont take my word for it thoughn

Step-by-step explanation:

Bijou Museum sells 75% of its tickets for the regular price of $14. The remaining discount tickets are sold for the price of $10. Variable cost per guest is $2 for both groups, and fixed costs total $66,000 per month. What are the number of regular-price guests and discount guests at the breakeven point?

Answers

Answer:

Regular price guests = 3300

Discount price guests = 1100

Step-by-step explanation:

Breakeven point is the point where total revenue and total cost are equal.

Now, we know total cost is $66,000 per month.

Now, we are told that the museum sells 75% of its tickets for the regular price of $14.

If the total number of tickets is x. It means the number of regular tickets guests is 75%x = 0.75x

We are told that variable cost per guest in each group is $2. This means that total revenue from regular tickets guest is;

14(0.75x) + 2(0.75x) = 12x

Now, the remaining tickets are discount tickets sold for $10.

It means number of discount tickets guests = 0.25x

Total revenue from discount tickets =

10(0.25x) + 2(0.25x) = 3x

Thus, at break even point, we have;

12x + 3x = 66000

15x = 66000

x = 66000/15

x = 4400

Thus;

Regular price guests = 0.75 × 4400 = 3300

Discount price guests = 0.25 × 4400 = 1100

Identify the segment bisector of MN. Then find MN.

Answers

Answer:

Segment bisector: JK

MN = 52

since the 26 is right on a little line, tick mark or wtv, im no sure if MN= 78 or 52 but i'd just put 52. Sorry if im

wrongStep-by-step explanation:

Segment bisector is the line in half

The segment bisector of MN is JK and the measure of MN is 52.

What is a line segment?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

The only bisector of MN is JK and it is at the midpoint of the line segment MN so it will be a bisector.

Now,

Since JK is the bisector of MN

M(JK) = (JK)N

26 = (JK)N

So,

MN = 2(26) = 52

Hence "The segment bisector of MN is JK and the measure of MN is 52".

For more about line segment,

https://brainly.com/question/25727583

#SPJ2

5 × -92 =
Just a quick response on how to solve this, thanks a ton!

Answers

5 × -92 =

Just a quick response on how to solve this, thanks a ton!

Answer:

-460

Answer: -460

Step-by-step explanation:

If Jeremy is feeding his Chihuahua 1/2 cup of dog food but uses 1/10 of a cup, how many scoops will he need to feed his dog?

Answers

Answer: 5

Step-by-step explanation:

The question is asking how many tenths are in one half. You need to divide one half by one tenth. To divide fractions you need to invert and multiply.

1/2 ÷ 1/10

Step 1: Invert and multiply

1/2 × 10/1 = 10/2

Step 2: Simplify

10/2 = 5

which programming language was used in the first generation conputer
I:machine language
2:assembly language
3:high level language
3:natural language​

Answers

Answer:

machine language

Step-by-step explanation:

The computers in this generation used machine code as the programming language.

The machine language also referred to as the native language of the computer system is the first generation programming language. In the machine language, a programmer only deals with a binary number. They are translation free and can be directly executed by the computers.

Log2 x + log2 (6-x)=3 solve for x algebraically

Answers

Answer:

The solution is x = 2 and x = 4

Step-by-step explanation:

Let us revise some rules in logarithmic function:

[tex]log_{a}(x)+log_{a}(y)=log_{a}(xy)[/tex]The logarithmic function is the inverse of the exponential function [tex]log_{b}(c)=a[/tex]  is the inverse of  [tex]b^{a}=c[/tex]

Let us solve the question

∵ [tex]log_{2}(x)+log_{2}(6-x)=3[/tex]

→ By using the first rule above

∴ [tex]log_{2}(x)(6-x)=3[/tex]

→ Multiply x by (6 - x)

∵ x(6 - x) = x(6) - x(x) = 6x - x²

∴ [tex]log_{2}(6x-x^{2})=3[/tex]

→ Change the logarithmic function to exponential function using

   the second rule above

∴ [tex]2^{3}=(6x-x^{2})[/tex]

∵ 2³ = 8

8 = 6x - x²

→ Add x² to both sides

∴ x² + 8 = 6x

→ Subtract 6x from both sides

∴ x² - 6x + 8 = 0

→ Factorize it into 2 brackets

(x - 2)(x - 4) = 0

→ Equate each factor by 0 to find the values of x

∵ x - 2 = 0

→ Add 2 to both sides

x = 2

∵ x - 4 = 0

→ Add 4 to both sides

x = 4

∴ The values of x are 2 and 4

The solution of the equation is x = 2 and x = 4

You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a similar garden with a perimeter of 105 feet? A flower garden in the form of trapezoid is shown. The length of longer base is labeled 18 feet, shorter base is 15 feet, height is 4 feet, and one leg is 5 feet.

Answers

Answer:

26.25 bottles

Step-by-step explanation:

A flower garden in the form of trapezoid is shown. The length of longer base is labeled 18 feet, shorter base is 15 feet, height is 4 feet, and one leg is 5 feet.

Formula for perimeter of a trapezoid = Side a + side b + length a + length b

For the trapezium shown, its perimeter step 1,

we have to find the missing length

Length a

We are given height = 4 feet

Length of the longer base = 18 feet

Length of the shorter base = 15 feet

Different would give us the base of the right angle triangle

= 18 - 15 = 3 feet

Using Pythagoras Theorem we can find the side a = c

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

c = √25

c = 5 feet

Hence side a = 5 feet

Perimeter of the Trapezoid shown =

18 feet + 15 feet + 5 feet + 5 feet

= 38 feet.

From the question,

You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a similar garden with a perimeter of 105 feet

Hence:

38 feet = 2 bottles

105 feet = x bottles

Cross y

= 38 × x = 105 × 2

= 38x = 105 × 2

x = 105 × 2/38

x = 26.25 bottles

26.25 bottles of fertilizer is needed to treat the garden with a perimeter of 105

The sun is about 8 light minutes away. What is the distance
in meters?
Given: Distance to sun: 8 light minutes
speed of light: 3x10^8 m/s
(1 minute=60 seconds)
Unknown: Distance to sun in meters (in scientific notation)

Answers

(3x10^8) x 8 = 2400000000

OR 2.4x10^9
Correct answer is = 8 x 60 x 3 x 10^8 = 1.44 x 10^11 m

can anyone answer this?

Answers

Answer:

it is J

Step-by-step explanation:

y=ax2+bx+c standard form

Answers

Answer:

y=3x^2+12x+13

a=3

b=12

c=13

Step-by-step explanation:

is the line liner?
someone help i need this to pass

Answers

Answer:

yes

Step-by-step explanation:

BD = 8 and AB = 4 Find AD

Answers

Answer:

AD is 12

Step-by-step explanation:

Answer:

AD=12

Step-by-step explanation:

AB=4

BD=8

AD=AB+BD

AD=4+8

AD=12

Hope this helps :)

plz plz plz plz plz plpz help mee

Answers

Answer:

175

Step-by-step explanation:

x / 7

100 (the mean goal)

100 + 65 + 120 + 150 + 90 + 0 + y = 700

100 + 65 + 120 + 150 + 90 + 0 + 175 = 700

700 / 7

100

The answer should be 175

A gym's membership in 2012 was 9,300. The current membership is 2,800. Which expression can be used to find the
percent of change?

Answers

Answer:

Find the difference between the two, divide by the years, and should get the percent of change

Step-by-step explanation:

The change in percentage is 69.89%.

Given that, a gym's membership in 2012 was $9,300.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The current membership is $2,800.

We know that, the percentage change = (New value - Original value)/Original value × 100

Now, the percentage change = (9300-2800)/9300 × 100

= 6500/9300 × 100

= 0.6989 × 100

= 69.89%

Therefore, the change in percentage is 69.89%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

On a coordinate plane, a triangle has points D (negative 2.5, 5), E (0, negative 1), and F (negative 5, negative 1).

What is the y-coordinate of point D after a translation of (x, y) → (x + 6, y – 4)?

D′(3.5,___ )

Answers

Answer:

D = (3.5,1)

Step-by-step explanation:

(-2.5,5) is given

you must do (x+6,y-4)

x y

(-2.5,5)

-2.5+6=3.5

x=3.5

5-4=1

y=1

(3.5,1)

Answer:

(3.5, 1)

Step-by-step explanation:

edg 2021

Miles records the time it takes to download a variety of file types. How is the download time related to that file size? How can you show that two quantities have a proportional relationship?

Answers

Answer:

answer is 5 minutes

Step-by-step explanation:

Determine whether the statements are True or False. Justify your answer with an explanation.

If f(x) = x + 1 and g(x) = 6x, then (f ○ g)(x) = (g ○ f)(x).

If you are given two functions f(x) and g(x), you can calculate (f ○ g)(x) if and only if the range of g is a subset of the domain of f.

Answers

Problem 1

Answer: False

---------------------------------

Explanation:

The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.

So,

f(x) = x+1

f( g(x) ) = g(x) + 1 .... replace every x with g(x)

f( g(x) ) = 6x+1 ... plug in g(x) = 6x

(f o g)(x) = 6x+1

Now let's flip things around

g(x) = 6x

g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)

g( f(x) ) = 6(x+1) .... plug in f(x) = x+1

g( f(x) ) = 6x+6

(g o f)(x) = 6x+6

This shows that (f o g)(x) = (g o f)(x)  is a false equation for the given f(x) and g(x) functions.

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

Problem 2

Answer: True

---------------------------------

Explanation:

Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.

For example, let

f(x) = 1/(x+2)

g(x) = -2

The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.

So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).

The given statement is false.

What is composite function ?

Composite function is a combination of two or more than two functions combined by mathematical operation of addition,subtraction,multiplication and division.Where output of one function is input to the other function.

According to the given question two functions are given f(x) and g(x) and and we have to compose in different order and see if they are same or not.

Given, f(x) = x + 1 and g(x) = 6x

So, (fog)(x) is, output of g(x) is the input of f(x) which is

f(6x) = (6x) + 1

f(6x) = 6x + 1.

Now, (gof)(x) is, output of f(x) is now input of g(x) which is

g(x+1) = 6(x+1)

g(x+1) = 6x + 6.

Thus we can see fog(x) gof(x).

learn more about composite functions here :

https://brainly.com/question/20379727

#SPJ2

Wha is the property fr each one pls aswer Asap

Answers

9514 1404 393

Answer:

  A. Given; B. multiplication; C. distributive; D. collect terms; E. addition; F. division

Step-by-step explanation:

You are expected to compare each line to the previous line and identify the changes. Apart from combining like terms (collecting terms), there are generally only three properties of interest: distributive property, addition property, multiplication property. Of course, subtraction and division are just addition and multiplication using the appropriate (additive, multiplicative) inverse.

The distributive property involves adding or deleting parentheses, so it is easy to identify.

If terms disappear, it can be due to terms being combined, or due to addition/subtraction. If coefficients disappear, it will generally be due to multiplication/division.

__

-2.5(-2-3x)+2.5(-4x-1) = -2x -4x . . . . Given

-5(-2 -3x) +5(-4x -1) = -4x -8x . . . . multiplication by 2 (fractions eliminated)

10 +15x -20x -5 = -4x -8x . . . . distributive property (eliminate parentheses)

-5x +5 = -12x . . . . collect terms

5 = -7x . . . . addition of 5x (-5x term disappeared)

-5/7 = x . . . . division by -7 (x coefficient of -7 disappeared)

 

Which equation is equivalent to 2x + 3y = 12?

Answers

3y = -2x + 12

Is Equivalent to that equation

Hope this helped :)

5x2 - 50 + x, when x =4

Answers

Answer:

44

Step-by-step explanation:

5*2=10-50=40+4=44

PLZ HELP It’s due soon

Answers

Answer:

30

Step-by-step explanation:

Answer:

Oh thats easy its $30

Step-by-step explanation:

so for 2 icecreams it costs $6

so if u divide them it would become 1 icecream for $3 so

10 times 3 will be $30

Which of the following is the graph of y=sqrt x+1?

Answers

Answer:

B

Step-by-step explanation:

The graph for y= √x+1 is shown below.

What is the square root function?

The square root function f(x)=√x has domain [0,∞) with range  [0,∞).

Similarly the given function is y=f(x)= √x+1

From the graph, it is clear that the function is valid for x≥0 because x<0 √x will be imaginary.

So the domain of the function f(x)= √x+1 will be [0,∞).

As we know,

√x ≥0

⇒ √x+1≥0+1

⇒√x+1 ≥ 1

⇒f(x) ≥ 1

the function f(x) has range [1,∞).

f(x)=√x+1 ha y intercept at x=0

f(0)= √0+1=1

f(x) has y intercept at (0,1).

Function F(x) will increase from point (0,1).

Therefore The graph for y= √x+1 is shown below.

Learn more about square root function

Here: https://brainly.com/question/1777875

#SPJ2

There are 2 squares and 4 triangles. What is the simplest ratio of squares to total shapes?

Answers

Answer:

2:6

Simplest= 1:3

What is the slope of the linear function y= - 5/3 - x

Answers

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is 3 .

Step-by-step explanation:

brainliest please

Solve the equation.
m2 = 43

Answers

Is that 2m=43 or m^2=43??

If 2m=43 then...

m=43/2

m=21.5

If m^2=43 then...

m=√43

Answer:m=21.5

Step-by-step explanation:

find the root of the equation:5-6 of=-1​

Answers

Answer: The answer is 5 1/2

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST!

The area of a rectangle is x^2 - 6x - 7 with a width of x - 7. What is the lenght?

Answers

[tex] {x}^{2} - 6x - 7 = (x - 7)(x + 1) \\ [/tex]

[tex]width = (x - 7)[/tex]

So

[tex]length = (x + 1)[/tex]

Just it...

So we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

11/12 times 7 equals what in a fraction

Answers

Answer: 77/12

Step-by-step explanation:

1) 11/12 * 7 = (11*7)/12 = 77/12

Exact Form:
77/12

Decimal Form:
6.41
¯

Mixed Number Form:
6 5/12
Other Questions
write 540 as a product of prime factor Explain how some salt solutions can be heavy and some light if they are madewith the same materials. Predict how the railroads affected cities? Which step in the process of photosynthesis is dependent on light energy?A.splitting of water into hydrogen and oxygenB.combining carbon and oxygen into carbon dioxideC.splitting carbon dioxide into carbon and oxygenD.combining hydrogen and oxygen to form water Although risk factors at all levels of social and personal life contribute to youth violence, young people in all nations who experience change in societal-level factorssuch as economic inequalities, rapid social change, and the availability of firearms, alcohol, and drugsseem the most likely to get involved in violence. Can anything be done to help alleviate these social problems? Problem number 26 of the Rhind Papyrus says: Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of itself the result is a 15. The modern day equation that models this problem is x plus StartFraction 1 over 4 EndFraction x equals 15.. What is the solution to the equation? x = 10 x = 12 x = 15 x = 30 The molar mass of silicon (Si) is 28.09 g/mol. Calculate the number of atoms in a 92.8 mg sample of Si. Allen's score in a video game was changed by 55 points because he missed some targets. He got 11 points for each missed target. How many targets did he miss? What is the definition of cotton fabric Why did our founding fathers originally not want a strong government? *They wanted a government similar to that of BritainThey were all FederalistsThey were anarchistsThey were afraid of creating another king-like government What is 7 7//8 + 2 1/4= Cuales son los factores de 210 Writing an essay on weather ones culture influences on how they see other people and the world around them Slope = - 3/5, y-intercept = 5 Which sentence uses inextricably correctly? If you inextricably practice, you might qualify for next year's team. Because we are sisters, our memories are inextricably linked to each other. Farmers inextricably separated the male and female sheep in the pasture. My father inextricably packed his clothes in my suitcase. Why was Tarana Burke surprised by the Twitter activity on her #MeToo account? Joshua quick made a deposit to his checking and recieved $50 in cash. His deposit slip shows a total deposit of $90. If Joshua deposited checks worth six times the value of the coins he deposited, how much did he deposit in (a) coins and (b) checks? 2 similarites and 2 differences between the life of the hunter-gather and the life of a settled farmer The Articles of Confederation were written by __________.A.the legislatureB.Thomas JeffersonC.George WashingtonD.the Second Continental Congress Vera Ernst is a licensed dentist. During the first month of the operation of her business, the following events and transactions occurred. April 1 Invested $20,000 cash in her business. 1 Hired a secretary-receptionist at a salary of $700 per week payable monthly. 2 Paid office rent for the month $1,500. 3 Purchased dental supplies on account from Dazzle Company $4,000. 10 Performed dental services and billed insurance companies $5,100. 11 Received $1,000 cash advance from Leah Mataruka for an implant. 20 Received $2,100 cash for services performed from Michael Santos. 30 Paid secretary-receptionist for the month $2,800. 30 Paid $2,600 to Dazzle for accounts payable due.Required:Journalize the transactions.