A person is trying to quit chewing gum. They decide they will have 64 pieces in week 1, but each week have half as many as the week before. The function f represents the number of pieces of gum they will have in week n. What is a reasonable domain for this function? Explain your reasoning.

Answers

Answer 1

Function is missing.

It is;

f(n) = ½⋅f(n − 1) for n ≥ 2

Answer:

Domain for this function is;

n ≥ 1

Step-by-step explanation:

We are told They decide they will have 64 pieces in week 1,

Thus;

f(1) = 64

From the function given;

f(n) = ½⋅f(n − 1)

So;

f(2) = ½•f(2 - 1)

f(2) = ½•f(1)

f(2) = ½ • 64

f(2) = 32

Also;

f(3) = ½•f(3 - 1)

f(3) = ½•f(2)

f(3) = ½ × 32 = 16

Looking at the steps, they follow a general pattern of;

f(n) = 64•½^(n - 1) for n ≥ 1

Thus, the domain for the function for n weeks after the first one is n ≥ 1


Related Questions

Which statement describes a disadvantage of Marnie paying a bill by telephone with a credit card or a debit card? Marnie will not have to find a stamp and a mailbox. Marnie will have to share her card account information. Marnie’s bill is paid immediately. Marnie may be eligible for a discount

Answers

Answer:

The Answer is B Marnie will have to share her card account information.

Plus I took this test so

Answer:

B) Marnie will have to share her card account information.

Step-by-step explanation:

I took the test on Edge

Round 45.396 to the nearest tenth

Answers

The answer would be 45.4

Answer:

Step-by-step explanation:

45.396

tenth place is 3

on the right of 3 is 9. 9 is higher than 5. Therefore 3 becomes a 4.

the answer is  45.4

-5x-y=7 how do I show my work

Answers

Step-by-step explanation:

show yourself simplifying into y=mx+b format

Help me please 20 is 1/10 of

Answers

Answer:

20 is 1/10 of 200

Step-by-step explanation:

20* 10 = 200

Answer:

the answer is 200/1

Which operation gives a result of 1.39?

Answers

The sum of 4.35 and -5.66

Please help me ASAP ​

Answers

Answer:

Step-by-step explanation:

Base 5 uses 0, 1 , 2, 3, 4

When we add 2+ 1 = 3

When we add 4 +3 = 7 = 5 +2 . 5 will be carried as 1

4 + 3= 12

In subtraction, 32 - 4

From 2 we cannot subtract 4. So, borrow 5 from 3. So, 2+5 = 7.

7-4=3

32 -4 = 23

I have attached the sums

What essential characteristic does a good experiment have?​

Answers

Answer:

It should have many essential characteristics such as a Control group, a hypothesis, research to back up and defend your hypothesis/claim and it should be replicable by others with similar results to prove your experiments claim.

Hope this helps. :)

An experienced computer technician can set up a network in 12 hours. It would take an intern 20 hours to set up the same network. If they work together, how long will it take to set up the network?

Answers

Answer:

X

Step-by-step explanation:

Answer:

ANSWER IS TIME

Step-by-step explanation:

time

WHO WANTS A BRAINLIEST?
A (-3.5,1.25) B (-5,-3) C (-4,2) (-4,0) (-4.5,-2.25)

Answers

Answer:

A

Step-by-step explanation:

Find the midpoint by using A and B.

Then use the midpoint and B to find the 3/4 point.

Is the ration of 3/4 the same as the fraction of 3/4

Answers

Answer:

yes but there might be slightly change in it

Answer:

Yes 3/4 is the same as 3/4.

(I might be wrong)

Step-by-step explanation:

Step One: Rewrite the ratio as a fraction

[tex]3 : 4 = \frac{3}{4}[/tex]

Step Two: Reduce and simplify the fraction

This fraction is already reduced so no further work is needed

Hope this helped you!

what is 1/4 to the power of 34???????

Answers

Answer:

I believe it is 3.3881318e-21 but you could round that

Step-by-step explanation:

Simplify 9x + 4(x + 2) - 5:

Answers

The answer is 68
Instructions: follow the bedmas rule of solving.

Answer:

Step-by-step explanation:

9x+4x+8-5

=13x+3

list out the problem of solution of communication in Nepal​

Answers

Answer:

the problem of solution of communication in Nepal are

Step-by-step explanation:

Usage of modern wireless and satellite based networking system keeping a backup networking system for the cases of nature disaster

Solve for x in simplest form. 3=7/2(3x−4)

Answers

Answer:

x = 34/21

Step-by-step explanation:

3 = 7/2 (3x-4)3 = (21/2)x - 28/23 = (21/2)x - 14(21/2)x = 1721x = 34x = 34/21

Answer:

x = 34/21

Step-by-step explanation:

3 = 7/2 ( 3 x -4)

We need to perform a multiplication.

The following rule is applied:

In our example, the factors in the new numerator are:

, ,

Notice that all non-fraction factors are placed in the numerator.

The only factor in the new denominator is: 2.

We need to get rid of all the denominators in this equation.

This can be achieved by multiplying both the left and the right side by the Least Common Denominator.

In our example, the LCD is equal to 2.

which number is a prime 49 51 53 55

Answers

53 is a prime number !!

Answer:

53

Step-by-step explanation:

Answer is 53:)

Are all fractions integers?

Answers

Answer:

No

Step-by-step explanation:

Fractions and decimals are not integers. Any and all whole numbers like 1, 2, 3... Or even negative numbers like -1, -2, -3 etc. are all integers. However any fractions, decimals, etc. are NOT integers.

Hope this helps and have a nice day!

Answer:

no

Step-by-step explanation: no fractions are integers bc the are not orginally positive or negative but u can put them on a number line

If A= -3, B= -7, C= 5, and D= 2, what does AB - CD= Question options: A.11 B.31 C. -11 D. -15

Answers

11, AB is -3(-7) which equals 21 and CD is 5(2) which is 10, 21-10=11. So your answer would be A

Is Happyville linear or exponential

Answers

Answer:

expoential

Step-by-step explanation:

Find the sum of 4x^2
-4x + 10 and 2x^2+ 5x – 8.

Answers

Answer:

6x2+x+2

Step-by-step explanation:

Mark Brainliest?

A gym charges $45 per month and a $75 one-time starting fee. Which of these
will show how much it costs to join the gym for one year?
)
(45 x 12) + 75 = c
(45 + 75) x 12 =c
(75 - 45) x 12 = c
(75 x 12) + 45 = c

Answers

Answer:

(45 × 12) + 75 = c

Step-by-step explanation:

45 × 12 months + 75 starting fee

what is the gradient of the line 3x+y=4

Answers

Answer:

The slope is - 3

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

The equation is 3x+y = 4

To find the slope of the line we must first write the equation in the general form above

Make y the subject

That's

y = - 3x + 4

Comparing with the general equation above

Slope of the line = - 3

Hope this helps you

A model of a plane is made using a scale of 1:5. If the wings of the model are 1.2m long, what is the actual length of the wings on the plane?

Answers

Answer:

  6 m

Step-by-step explanation:

Multiply your scale by 1.2 m:

  1 : 5 = 1.2 m : 6.0 m

The wings on the plane are 6.0 m long.

(i)Express 2x² – 4x + 1 in the form a(x+ b)² + c and hence state the coordinates of the minimum point, A, on the curve y= 2x² 4x+ 1.
The line x– y + 4 = 0 intersects the curve y= 2x² – 4x + 1 at points P and Q. It is given that the coordinates of Pare (3,7).

(ii)Find the coordinates of
(iii) Find the equation of the line joining Q to the mid-point of AP.

I already get the (i) but hav no idea with no.(ii) and (iii)

Can anyone help me? Thank you​

Answers

Answer:

(i). [tex]y = 2\, x^2 - 4\, x + 1 = 2\, (x - 1)^2 - 1[/tex]. Point [tex]A[/tex] is at [tex](1, \, -1)[/tex].

(ii). Point [tex]Q[/tex] is at [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex].

(iii). [tex]\displaystyle y= - \frac{1}{5}\, x + \frac{17}{5}[/tex] (slope-intercept form) or equivalently [tex]x + 5\, y - 17 = 0[/tex] (standard form.)

Step-by-step explanation:

Coordinates of the Extrema

Note, that when [tex]a(x + b)^2 + c[/tex] is expanded, the expression would become [tex]a\, x^2 + 2\, a\, b\, x + a\, b^2 + c[/tex].

Compare this expression to the original [tex]2\, x^2 - 4\, x + 1[/tex]. In particular, try to match the coefficients of the [tex]x^2[/tex] terms and the [tex]x[/tex] terms, as well as the constant terms.

For the [tex]x^2[/tex] coefficients: [tex]a = 2[/tex].For the [tex]x[/tex] coefficients: [tex]2\, a\, b = - 4[/tex]. Since [tex]a = 2[/tex], solving for [tex]b[/tex] gives [tex]b = -1[/tex].For the constant terms: [tex]a \, b^2 + c = 1[/tex]. Since [tex]a = 2[/tex] and [tex]b = -1[/tex], solving for [tex]c[/tex] gives [tex]c =-1[/tex].

Hence, the original expression for the parabola is equivalent to [tex]y = 2\, (x - 1)^2 - 1[/tex].

For a parabola in the vertex form [tex]y = a\, (x + b)^2 + c[/tex], the vertex (which, depending on [tex]a[/tex], can either be a minimum or a maximum,) would be [tex](-b,\, c)[/tex]. For this parabola, that point would be [tex](1,\, -1)[/tex].

Coordinates of the Two Intersections

Assume [tex](m,\, n)[/tex] is an intersection of the graphs of the two functions [tex]y = 2\, x^2- 4\, x + 1[/tex] and [tex]x -y + 4 = 0[/tex]. Setting [tex]x[/tex] to [tex]m[/tex], and [tex]y[/tex] to [tex]n[/tex] should make sure that both equations still hold. That is:

[tex]\displaystyle \left\lbrace \begin{aligned}& n = 2\, m^2 - 4\, m + 1 \\ & m - n + 4 = 0\end{aligned}\right.[/tex].

Take the sum of these two equations to eliminate the variable [tex]n[/tex]:

[tex]n + (m - n + 4) = 2\, m^2 - 4\, m + 1[/tex].

Simplify and solve for [tex]m[/tex]:

[tex]2\, m^2 - 5\, m -3 = 0[/tex].

[tex](2\, m + 1)\, (m - 3) = 0[/tex].

There are two possible solutions: [tex]m = -1/2[/tex] and [tex]m = 3[/tex]. For each possible [tex]m[/tex], substitute back to either of the two equations to find the value of [tex]n[/tex].

[tex]\displaystyle m = -\frac{1}{2}[/tex] corresponds to [tex]n = \displaystyle \frac{7}{2}[/tex]. [tex]m = 3[/tex] corresponds to [tex]n = 7[/tex].

Hence, the two intersections are at [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex] and [tex](3,\, 7)[/tex], respectively.

Line Joining Point Q and the Midpoint of Segment AP

The coordinates of point [tex]A[/tex] and point [tex]P[/tex] each have two components.

For point [tex]A[/tex], the [tex]x[/tex]-component is [tex]1[/tex] while the [tex]y[/tex]-component is [tex](-1)[/tex].For point [tex]P[/tex], the [tex]x[/tex]-component is [tex]3[/tex] while the [tex]y[/tex]-component is [tex]7[/tex].

Let [tex]M[/tex] denote the midpoint of segment [tex]AP[/tex]. The [tex]x[/tex]-component of point [tex]M[/tex] would be [tex](1 + 3) / 2 = 2[/tex], the average of the [tex]x[/tex]-components of point [tex]A[/tex] and point [tex]P[/tex].

Similarly, the [tex]y[/tex]-component of point [tex]M[/tex] would be [tex]((-1) + 7) / 2 = 3[/tex], the average of the [tex]y\![/tex]-components of point [tex]A[/tex] and point [tex]P[/tex].

Hence, the midpoint of segment [tex]AP[/tex] would be at [tex](2,\, 3)[/tex].

The slope of the line joining [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex] (the coordinates of point [tex]Q[/tex]) and [tex](2,\, 3)[/tex] (the midpoint of segment [tex]AP[/tex]) would be:

[tex]\displaystyle \frac{\text{Change in $y$}}{\text{Change in $x$}} = \frac{3 - (7/2)}{2 - (-1/2)} = \frac{1}{5}[/tex].

Point [tex](2,\, 3)[/tex] (the midpoint of segment [tex]AP[/tex]) is a point on that line. The point-slope form of this line would be:

[tex]\displaystyle \left( y - \frac{7}{2}\right) = \frac{1}{5}\, \left(x - \frac{1}{2} \right)[/tex].

Rearrange to obtain the slope-intercept form, as well as the standard form of this line:

[tex]\displaystyle y= - \frac{1}{5}\, x + \frac{17}{5}[/tex].

[tex]x + 5\, y - 17 = 0[/tex].

Miguel did the following math problem: 65 ∙ 64 = 369. Which of the following is a true statement? 1.He is correct. 2.He is incorrect because he should have subtracted the exponents. 3.He is incorrect because he should have multiplied the exponents. 4.He is incorrect because he multiplied the bases.

Answers

Answer:

He is incorrect.

Step-by-step explanation:

The correct answer is 4,160.

Answer:

3. He is incorrect because he should have multiplied the exponents.

Step-by-step explanation:

6∧5 × 6∧4 = 369 Incorrect

Correct: 6∧5 = 7776

6∧4 = 1296

7776 × 1296 = 10,077,696

1. He is not correct, therefore the first answer is wrong.

2. You do not subtract the exponents unless one of the exponents is negative and you have the same bases. You have the same bases in this equation, however, neither one of them are negative. Therefore, the second answer is wrong.

3. The third answer is correct because if you were adding the two terms together then you would add the exponents together then multiply the base as many times as needed. However, since you are multiplying the two terms together, you also need to multiply the exponents together. From there, you then multiply the terms and get your answer.

4. The fourth answer is also incorrect because you need to multiply the bases together in order to get a correct answer.

I hope this helps!

A computer programmer works 40 hours per week. what is the equation that relates to the number of hours "h" that the programmer works and the number of weeks "w" that the programmer spends working?​

Answers

Answer:

h = 40w

Step-by-step explanation:

40 per week

hours = 40 x amount of weeks

h = 40w

Answer: h = 40w

h is the total number of hours and w is the number of weeks.

Si en una proporción geométrica continua, la media geométrica es 24 y la razón es 2/3 ¿Cuánto es la diferencia de los extremos?. a)18 b)20 c)24 d)16 e)12

Answers

yo creo que es C-24 de todos

Find the midpoint of (-4,6) and (10,-10)

Answers

Answer:

(3,-2)

Step-by-step explanation:

10+4=14; 14/2=7

-4+7=3

x=3

6+10=16; 16/2=8

6-8=-2

y=-2

Answer:

(3,-8)

Step-by-step explanation:

m=x1+x2/2,y1+y2/2

m--4+10/2,-10-6/2

m=6/2,-16/2

m=3,-8

10+x=19 need your help

Answers

Answer:

9

Step-by-step explanation:

10+x=19

move 10 over the =

x =19-10

x=9

Hey there!

ANSWER: [tex]x=9[/tex]EXPLANATION:

[tex]10+x=19[/tex]

To solve, you can just do 19 - 10.

[tex]19-10=9[/tex]

Now let's complete x.

[tex]10+x(9)=19\\10+9=19\\x=9(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Find the remainder when x4+x3-2x2+x+1 is divided by x-1
(a)1
(b)5
(c)2
(d)3

Answers

Answer:

For example, if you want to find printable activities for third grade, click the "3" ... For each clock eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

The temperature of a freezer started at 18°C after cooling for a few hours the freezer had a temperature of -12°C what is the difference between the new colder temperature in the original temperature

Answers

The answer is 6 degrees Celsius

Answer:

-273.15

Step-by-step explanation:

trust me and ull see

Other Questions
1. Round off each of the following to the nearest whole number.(a) 8.71(b) 26.01(c) 69.48(d) 103.72(e) 49.84(f) 101.35(g) 39.814(h) 1.23 what is the right answer Which expression best describes the amount of biomass transferredfrom the producer level of this pyramid to the tertiary consumer level? (PLEASE ANSWER CORRECTLY AND QUICK) a > 10% (equal to) -b 100% d If you dissolve 5.00 kg of methanol (CH_4O) in 2.00 m^3 of water, how many molecules of methanol per liter of water do you have? (1 kg = 1000 g; 1 m^3 = 1000 L) Which table of ordered pairs represents a proportional relationship? Solve for g.4(g - 17) = 12g= Where did Louis xvl relocate the royal court ? 1.23 cmHow many significant digits are in each of the following measurements? what is the value of X? What are two different methods you can use to withdraw money from your checking account? How are compound, elements, and mixure different HELP PLZZZZZZZZ HELP PLZZZZZZZZZSorry I know this is a lot THANK U FOR YOUR EFFORT 1.Write 6,730,000 in scientific notation.2. Write 13,300 in scientific notation.3. An ordinary quarter contains roughly 97,700,000,000,000,000,000,000 atoms. Write this number using scientific notation.4. The distance from the Earth to the Moon is roughly 384,000 kilometers. Write this number in scientific notation5. Write `4\cdot10^{5}` in standard notation Hint: Move the decimal 5 place6. Write `1.8499\cdot10^{9}` in standard notation Hint: Move the decimal 9 places7. Write `1.8499\cdot10^{9}` in standard notation Hint: Move the decimal 9 places8. Write `6.43\cdot10^{3}` in standard notation9. Write `8.456\cdot10^{7}`10. Write `8\cdot10^{5}` in standard notation11. Write `9\cdot10^{10}` in standard notation12. Describe how you would write 3,482,000,000 in scientific notation as if you were explaining it to someone who didn't know what scientific notation was.Example: Write 58,927 in scientific notation Hint: move the decimal 4 places.Answer for the example: 5.8927\ times\ 10\ ^{4} Which scientific discipline is correctly matched to a contribution to society? biology; theory of relativity geology; theory of continental drift ecology; conserving the environment astronomy; developing quantum mechanics Granite comes from the Latin word called One number is two-thirds of another number. The sum of the numbers is 55. Tommys bedroom is in the shape of a square. If the area of Tommys bedroom is 225 square feet, what is the measurement of each side of the room? (I just wan't to mark someone as brainliest) HELP!!! Please answer. Fill in the blank with the correct conjugation of the verb in parentheses.Yo _____ (aprender) espaol. What is the question to b(x)=3x-1. Tula can paint 2/3 of a room in 3/4 hours. How many rooms can she paint in one hour?