The length of a string in yards is a function f(n) of the length n in inches. Write a function rule for this situation. f(n) = 12n f(n) = 36n

Answers

Answer 1

Given:

The length of a string in yards is a function f(n) of the length n in inches

To find:

The function rule for the given situation.

Solution:

We know that,

12 inches = 1 yard

1 inch = [tex]\dfrac{1}{12}[/tex] yard

n inches = [tex]\dfrac{n}{12}[/tex] yards

It is given that the length of a string in yards is a function f(n) of the length n in inches. So,

[tex]f(n)=\dfrac{n}{12}[/tex]

Therefore, the required function for the given situation is [tex]f(n)=\dfrac{n}{12}[/tex].


Related Questions

Please help ASAP help please due soon

Answers

Answer:

75 in^2

Step-by-step explanation:

The surface area is the sum of the areas

Area of the square:

A = s^2 = 5^2 =25

Area of one triangle

A = 1/2 bh = 1/2 (5)(5) = 25/2

There are 4 triangles

4* (26)/2 = 50

The sum is 25+50 = 75

Answer:

75 in2

Step-by-step explanation:

[tex]===========================================[/tex]

Formulas:

Area of a rectangle/square:

[tex]A=lw[/tex]

Area of a triangle:

[tex]A=bh\frac{1}{2}[/tex]

[tex]===========================================[/tex]

Square:

5*5= 25 in.

Triangles (4):

[tex]5*5*\frac{1}{2} =12.5[/tex]

Multiply by 4.

12.5*4= 50 in.

Add all them up.

25+50= 75

There are 50pupils in a class .Out of this number 1/10 speak French only and 4/5 of the reminder speak both French and English.lf the rest speak English only,find the number of student who speak
a.both French are English
b.only English

Answers

Answer:

40 pupils speak French and English

5 pupils speak only English

Step-by-step explanation:

**The grammar has some errors, but I hope I understood it correctly to answer your question correctly!**

Here's what we know about the question:

- 1/10 of the 50 pupils speak only FRENCH

- 4/5 of the 50 pupils speak FRENCH and ENGLISH

- rest of the pupils speak only ENGLISH

Here's what we're trying to find:

- # of pupils that speaks FRENCH and ENGLISH

- # of pupils that speak only ENGLISH

Let's start of with find how many pupils speak French:

1/10 of the 50 pupils speak French. To find the # of pupils, divide 50 by 10:

50/10 = 5

5 pupils speak only French

Now let's find out how many pupils speak French and English:

4/5 of the 50 pupils speak French and English. We are going to divide 50 by 5 and then multiply the result by 4:

50/5 = 10

10 * 4 = 40

40 pupils speak French and English

Finally, let's find the number of pupils that speak only English:

The question only says that the rest of the 50 pupils speak only English.

We are going to add the other pupils who don't speak only English, then subtract that value from 50:

40 + 5 = 45

50 - 45 = 5

5 pupils speak only English

Hope that helps (●'◡'●)

Mrs. Dominguez asked her students to plot the number of books they read over the summer

Answers

Answer: Count the dots located on the blot labeled at 2.

There are 6 dots, which mean 6 students read 2 books.

The answer is 6.

Step-by-step explanation:

Can you answer this math homework? Please!

Answers

Step-by-step explanation:

The second option is the answer.

The answer is B. 7 is not equal to 9, therefore the system of equations does not have a solution.

What is the correct answer to this multiple choice question? Please help!

Answers

Answer:

p = 26.3

Step-by-step explanation:

Using the law of sines

sin 101        sin 38

---------  = ------------

42               p

Using cross products

p sin 101 = 42 sin 38

p = 42 sin 38 / sin 101

p=26.34175

To the nearest tenth

p = 26.3

Point P is the incenter of DEF. Point P is the point of concurrency of the angle bisector. Find PV

Answers

Answer:

12

Step-by-step explanation:

because line FB divides triangle f v w into two equal halves therefore line WP is equal to line PV which is equal to 12

The required value of the PV is 12 in triangle DEF where p is the incenter.


Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.

What is incenter?

The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle. In additional expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.

Since in triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.
From image,
PW = 12
So by the property of incenter, perpendicular distance from this point to any of the sides of triangle is the same.

PW = PV
PV = 12


Thus, the required value of the PV is 12 in triangle DEF where p is the incenter.

Learn more about incenter here:
https://brainly.com/question/27868922
#SPJ2

Express the following as two odd primes
A)44
B)36
C)24
D)18
Help me I cannot understand

Answers

Answer:

1) 44  

a) 7 + 37

b) 3 + 41

c) 13 + 31

2) 36

a) 5 + 31

b) 7 + 29

c) 17 + 19

3) 24

a) 5 + 19

b) 7 + 17

c) 11 + 13

4) 18

a) 5 + 13

b) 7 + 11

Expressing the numbers as sum of two odd primes we have,

44 = 41+3 = 37+7 = 31+1336 = 31+5 = 29+7 = 23+13 = 19+1724 = 19+5 = 17+7 = 13+1118 = 13+5 = 11+7

What is Prime Number?

Prime numbers are numbers which are only divisible by 1 and itself.

Prime Numbers are: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,...

What is Odd number?

Odd numbers are numbers which are not divisible by 2.

Odd numbers are give by: 1,3,5,7,9,11,.....

2 is the only even number which is prime. So all prime numbers except 2 are odd numbers.

So odd prime numbers are given by: 3,5,7,11,13,17,19,23,29,31,37,41,43,47,....

Expressing the give numbers as the sum of odd prime numbers we get,

A) 44

41+3 = 44

37+7 = 44

31+13 = 44

B) 36

31+5 = 36

29+7 = 36

23+13 = 36

19+17 = 36

C) 24

19+5 = 24

17+7 = 24

13+11 = 24

D) 18

13+5 = 18

11+7 = 18

Learn more about Odd Prime Numbers here -

https://brainly.com/question/1593928

#SPJ2

Use the drawing tool(s) to form the correct answers on the provided number line. Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).

Its on a number line :)

Answers

-5 and 1 because (x+5)=0 so x is -5 and (x-1)=0 so x is 1

Answer:

Step-by-step explanation:

Hope this Helps ;)

Which statement about the annual percentage rate (APR) is true?
a.If you have good credit, you will get a higher APR.
b.If the APR is 5%, you will pay 5% of the balance per month.
c.The APR is not a good way to compare loans.
d.The APR helps compare loans with the same payback period, but with different monthly rates and different fees.

Answers

Answer:

d. The APR helps compare loans with the same payback period, but with different monthly rates and different fees.

Step-by-step explanation:

A loan can be defined as an amount of money that is being borrowed from a lender and it is expected to be paid back at an agreed date with interest.

Generally, the financial institution such as a bank lending out the sum of money usually requires that borrower provides a collateral which would be taken over in the event that the borrower defaults (fails) in the repayment of the loan.

An annual percentage rate (APR) is an amount of money paid as interest by borrowers or earned on loans by lenders such as banks, expressed as a percentage of the amount borrowed or invested over a 12-month period i.e on an annual basis.

Generally, the annual percentage rate (APR) helps compare loans with the same payback period, but with different monthly rates and different fees.

Answer:

A- If you have good credit, you will get a higher APR

Step-by-step explanation:

Calculate the mean of the data set {62, 75, 85, 63,69, 72, 76, 84, 87,88} round to the nearest tenth ?

Answers

Answer:

62+75+85+63+69+72+76+84+87+88 = 761

total scores is 10 then divde 761 by the total number of scores which is 10

761÷10 = 76.1

HELP!!!!!
If anyone knows the answer please tell me as soon as possible!!
PLEASE!!!!

Answers

Trapezoid, plot the points down on a graph

(1 x 10 ^ -3) ÷ (5 x 10 ^ 2) in standard form Plz ANSWER QUICK

Answers

Answer:

2 × 10⁻⁶

Step-by-step explanation:

( 1 × 10⁻³ ) ÷ ( 5 × 10² )

→ Rewrite into normal form

0.001 ÷ 500

→ Simplify

2 × 10⁻⁶

Answer:

[tex]\frac{1}{500,000}=2*10^{-6}[/tex]

Step-by-step explanation:

[tex]\frac{1*10^{-3} }{5*10^{2} } =\frac{1}{5} *10^{-3-2}=\frac{1}{5} *10^{-5} = 500,000^{-1}= \frac{1}{500,000} = 2*10^{-6}[/tex]

We have:

[tex]\frac{a^{x} }{a^{y} } = a^{x-y}[/tex]

In this case: [tex]\frac{10^{-3} }{10^{2} } = 10^{(-3)-2} =10^{-5} =\frac{1}{100,000}[/tex]

PLS how to do this 3 sums

Answers

Answer:

Step-by-step explanation:

7) PQ // RS,  RQ is transversal

x = 38 {Alternate interior angles are congruent}

In ΔPQR ,

x + y + ∠P  = 180   {Angle sum property of triangle}

38 + 90 + y = 180

  128 + y =  180

           y = 180 - 128

y = 52

9) Construct XY // AB

XY // AB  & AC is transversal

∠1 = ∠4     ---------(I)      {alternate interior angles are equal}

XY // AB  & BC is transversal

∠3 = ∠5     ---------(II)      {alternate interior angles are equal}

∠1 + ∠2 + ∠3 = 180   {straight line angles}

∠4 + ∠2 + ∠5 = 180    {From (I) & (II) }

Sum of three angles of triangle is 180.Hence proved.

If $10,500 is borrowed for 5 years at an annual simple interest rate of 1.73%, how much interest will be paid if the entire loan is paid off at the end of the fifth year? Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.

Answers

Answer:

Step-by-step explanation:

So, yearly $2100 is paid, plus the 1.73% interest, so 1.73% interest is $2136.33every year interest stacks on itself so youll take 1.73% of the year 1 total with interest.  

Year 1 total: $2136.33

Year 2 total:$2173.29

Year 3 total:$2210.89

Year 4 total:$2249.14

Year 5 total:$2288.05

Total Paid After 5 years:$11057.70

Year 1 total interest:$36.33

Year 2 total interest:$36.96Year 3 total interest:$37.60Year 4 total interest:$38.25Year 5 total interest:$38.91

Total Interest paid after 5 years:$188.05

please help! see question below :)

Answers

Answer:

I have no clue sorry bro.

Kara Danvers (Supergirl) has always relied on her strength to win fights. But what happens when she meets an alien just as strong? Her sister is training her to be a more technical fighter so that Supergirl can meet any challenge. The data below record the significant strikes during randomly selected training sessions 6 months apart. Is Kara showing improvement in her fighting?

Strikes (pre): 29 32 44 34 19

Strikes (post): 51 45 68 92 64


Write the Hypotheses:

H_0:_______________, the mean difference in ___________ between ____________ and ______________ is _______________

H_a:_______________, the mean difference in ___________ between ____________ and ______________ is _______________

Answers

Answer:

H0 : The mean difference in strikes between pre and post strike is equal to 0

H1 : The mean difference in strikes between pre and post strike is not equal to 0

Step-by-step explanation:

The scenario described abibe meets the condition for a paired (dependent) sample t test as the same subject is involved in both the pre and post strike data. Therefore measurement from the strike(pre) must be paired with measurement from the strike(post) data.

For a paired test involving a single subject ; The mean difference in the two sample is 0 ; that is both are the same while the alternative negates the null by claiming that the mean difference is not equal to zero.

Juan spent $20 of his month's babysitting earnings. If he now has $140 left of his babysitting money, what percent of his original earnings did he spend?

Answers

Answer:

12.5 % was spent

Step-by-step explanation:

How much did he start with

20 + 140 = 160

He spent 20

20/160 = 1/8

.125

12.5 % was spent

Answer:

12.5%

Step-by-step explanation

ok so

20/160(the og value) is the fraction version, to find the percent divide the numerator by teh denominator which gets you 0.125 x 100%= 12.5%

Help me plz!!!.......

Answers

Answer:

[tex]AB^{2} =AD^{2} +BD^{2}[/tex]

[tex]AB^{2} =(7.5)^{2} +(4.9)^{2}[/tex]

[tex]AB=\sqrt{80.26}[/tex]

[tex]=8.96[/tex]

ΔABC tan C=AB/BC

⇒ tan 55.8= 8.96/BC ⇒BC= 8.96/tan 55.8

BC=x= 6.09

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

Hope it helps...

Have a great day!!

7.5^2+4.9^2
= 80.26
Square root of 80.26 = 8.96 ≈ 9
Cos 55.8 (9)
= 5.10 cm

when servicing a heating boiler and radiators, a plumer knows that the time he will take is given by the formula

time = 1 hour + 45 minutes per radiator

he charges his costumer a call-out fee of £30, plus £20 per hour
how much should a costumer be charged for servicing a heating boiler and four radiators

Answers

Answer:

£110

Step-by-step explanation:

We know how much time it takes for a boiler and a radiator, and we need to know how much it will cost for 1 boiler and 4 radiators. We have an initial cost of £30, and since hes doing a boiler - which we know takes an hour - we can already add £20 for a start of £50.

Now, there are 4 radiators, that take 45 minutes each. We need to use this equation:

[tex](45*4)/60[/tex]

We divide by 60 because there are 60 minutes in an hour, and he charges by hour. So:

[tex]180/60=3[/tex]

Now, to find out how much to charge, we need to figure out how much to add to the £50. Since it's £20 an hour, and it takes 3 hours to do the 4 radiators, we need to multiply:

[tex]3*20=60[/tex]

Now we add our totals for a grand total of...

[tex]50+60=110[/tex]

FOR EASY BRAINLIEST ANSWER THE QUESTION BELOW:

Write an equation for the line . Write it in the form : Ax + By = C 14 ) Through (1, - 2); m = - 5

Answers

Answer:

5x+y=3

Step-by-step explanation:

Slope = -5,

y intercept b=-2-(-5)×(1)=3

so, y=-5x+3

or, 5x+y=3

Answered by GAUTHMATH

Juan, Pedro y Luis construyen un muro de 60 metros de largo. Juan construye el triple de Pedro y Luis el doble de Juan. ¿Cuántos metros construyó cada uno?

Answers

Answer:

Pedro make 6 m of wall, Juan make 18 m of the wall and Luis make 36 m of the wall.

Step-by-step explanation:

Juan, Pedro and Luis build a 60 meter long wall. Juan builds triple the size of Pedro and Luis double the size of Juan. How many meters did each one build?

Total length of the wall is 60 m.

Let Pedro make p length of the wall.

Juan make = 3 p

Luis make = 6 p

So,

According to the question

60 = p + 3 p + 6 p

60 = 10 p

p = 6

So, Pedro make 6 m of wall, Juan make 18 m of the wall and Luis make 36 m of the wall.  

Which of the following pairs of functions are inverses of each other?

Answers

OPTION C is the correct answer.

What is the approximate area of the figure below?
A. 27 square units
B. 29 square units
C. 30 square units
D. 36 square units

Answers

Answer:

C : 30 SQUARE UNITS

Use the work shown below to find the simplified product

Answers

Given:

The expression is:

[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]

To find:

The simple product.

Solution:

We have,

[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]

It can be written as:

[tex]=\dfrac{5\times 5\times x\times x}{2(x+3)}\cdot \dfrac{2}{5x}[/tex]

Cancel out the common factors.

[tex]=\dfrac{5\times x}{x+3}[/tex]

[tex]=\dfrac{5x}{x+3}[/tex]

Therefore, the correct option is C.

Solve the following word problems:​

Answers

Answer:

His loss is 90

He sold it 1710

Step-by-step explanation:

1) 1800x5/100= 90

2) 1800-90=1710

Answer:

Step-by-step explanation:

CP = ₹1800

Loss  = 5%

[tex]SP =\frac{100-Loss}{100}*CP\\\\= \frac{100-5}{100}*1800\\\\=\frac{95}{100}*1800\\\\[/tex]

= ₹  1710

Loss = CP - SP

        = 1800 - 1710

        = ₹ 90

Need help!
8 ÷ 2 (2 + 2) =

Answers

Answer:

= 16

Step-by-step explanation:

= 8 \div 2 . 4

= 16

Answer:

[tex]8\div \:2\left(2+2\right)[/tex]

[tex]=8\div \:2\cdot \:4[/tex]

[tex]=16[/tex]

OAmalOHopeO

1. Which of the following intervals shows the graph
increasing? Select all that apply.

PLEASE HELP ASAP PLS

Answers

Answer:

Options (A) and (C)

Step-by-step explanation:

Parts of the function will show the increase where y-values are increasing.

From the graph attached,

We see two parts of the graph are showing the increasing trend.

Intervals where the y-values (Values of the function) are increasing,

-2 < x < -1

1 < x < ∞

Therefore, Options (A) and (C) are the correct options.

(cos2a-cos2b)² + (sin2a+sin2b)²=4sin²(a+b)​

Answers

Answer:

LHS = (cosA+cosB)²+(sinA+sinB)²

= (cos²A+2cosAcosB+cos²B)+

(sin²A+2sinAsinB+sin²B)

/* By algebraic identity:

(x+y)² = x²+2xy+y² */

Rearranging the terms, we get

= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)

= 1+1+2cos(A-B)

________________________

we know that,

i) cos²x + sin²x = 1

ii) cosxcosy+sinxsiny = sin(x-y)

________________________

= 2+2cos(A-B)

= 2[1+cos(A-B)]

\boxed {1+cos\theta = 2cos^{2}\frac{\theta}{2}}

1+cosθ=2cos

2

2

θ

= 2\times 2cos^{2}\frac{(A-B)}{2}2×2cos

2

2

(A−B)

=4cos^{2}\frac{(A-B)}{2}4cos

2

2

(A−B)

=RHSRHS

Therefore,

(cosA+cosB)²+(sinA+sinB)²

=4cos^{2}\frac{(A-B)}{2}4cos

2

2

(A−B)

If a right circular cone is intersected by a plane only at its vertex, as in the
picture below, what shape is produced?
o
A. A line
B. A circle
Ο ΟΟ
C. An ellipse
D. A point
O
E. A parabola
F A hyperbola

Answers

Answer:

D. A point

Step-by-step explanation:

How to find the area of this figure pls?

Answers

6 x 10 should be the answer
Other Questions
Paragraph FiveAs a member of the Feel Power.org team, Noah explains, "I like to teach kids because I feel like I have good mentors in my life. A lot of kids don't have that, and I want to be a mentor for them. We go to schools and teach kids how to be respectful and how to make positive life choices." The goal of Feel the Power is to "give youth the skills they need to make positive life choices." Noah and others visit schools and talk to students about respect, responsibility, honesty, and being drug free. He received recognition for his "Respect" video that helps people confront the issue of bullying.Which of the following topics is explicitly stated in paragraph 5The challenge of public speaking The talent required for making videos The goal of Feel the Power The number of schools the team has visited ShabaLikeAnOobaLikeAMeebo What is 3x+8x=13+31? PLEASE HELP -6/5k = 12Show your work in details if you can, I have a hard time understanding this. 3.In each box there are 22 eggs. How many eggs do I have if I have 12 boxes? You are going to travel by coach together for a whole day. There are some things you might take for the journey. Decide together what you will take The gcf of two numbers is 3 and their lcm is 180, if one of the numbers is 45 then found the second number Can someone help me on this math question its confusing ill give brainly when right!!! Which of the following is true of website content?A. It should be refreshed periodically to keep customers coming back.B. Once the content has been written and proofread it shouldn't be changed.C. Grammatical errors are not a problem because the customer visits the site to purchase a product, not check the site's grammar.D. It should be limited to text and shouldn't include multimedia. from which line of longitude the South Africa calculate its time An object is thrown from the ground with an initial velocity of 30 m/s. What is the velocity at the point 25 m above the ground? Water glass is found inA. Liquid form at room temperatureB. solid state at room temperaturec. semi liquid form at room temperatureD. None of above who is the father of computer Find the missing side lengths leave your answer as a racials simplest form Circles in the Coordinate PlaneAcellusComplete the equation of this circle:1 38. Which of the following phrases serves as the adverbial phrase in the following sentence: "The director of affairs was praying very busily at the corner." * 1 point a. At the corner b. The director of affairs c. Was praying d. Very busily 36. Given that y varies directly with x,what is the equation of direct variationif y is 3 when x is 7? what is the domain of the function in the graph? According to the interest parity condition, if the domestic interest rate is 12 percent and the foreign interest rate is 10 percent, then the expected _________ of the foreign currency must be _________ percent. Group of answer choices |x-2| + |x+1| -5=0find x