A sequence is defined by the recursive function f(n + 1) = one-halff(n). If f(3) = 9 , what is f(1) ? 1 3 27 81

Answers

Answer 1

Answer:

81

Step-by-step explanation:

Answer 2

The value of f(1) for the recursive function is (d) 81

The recursive function is given as:

[tex]f(n + 1) = \frac 13f(n)[/tex]

Multiply both sides of the equation by 3

[tex]3f(n + 1) = f(n)[/tex]

Rewrite as:

[tex]f(n) = 3f(n + 1)[/tex]

Set n = 2;

[tex]f(2) = 3f(2 + 1)[/tex]

[tex]f(2) = 3f(3)[/tex]

Set n = 1 in [tex]f(n) = 3f(n + 1)[/tex]

[tex]f(1) = 3f(1 + 1)[/tex]

[tex]f(1) = 3f(2)[/tex]

Substitute [tex]f(2) = 3f(3)[/tex]

[tex]f(1) = 3 \times 3f(3)[/tex]

[tex]f(1) = 9f(3)[/tex]

Substitute 9 for f(3)

[tex]f(1) = 9 \times 9[/tex]

[tex]f(1) = 81[/tex]

Hence, the value of f(1) for the recursive function is (d) 81

Read more about recursive functions at:

https://brainly.com/question/1275192


Related Questions



FIRST CORRECT ANSWER WILL BE MARKED BRAINLEST

Type SSS, SAS, ASA, SAA, or HL

to justify why the two smaller triangles are
congruent.

Answers

Answer:

SSS

BC = CB (COMMON)

AB = DC (DATA)

AE+EC = DE + EB

What is the relationship
between a preimage and its image after a
dilation?

Answers

Answer:

After a dilation, the pre-image and image have the same shape but not the same size. In a dilation, the sides of the pre-image and the corresponding sides of the image are proportional.

Step-by-step explanation:

In the triangle shown below, which altitude length can be found without using the Distance Formula? What is the length?

Answers

Answer: a.) the altitude from N to line LM 6 units

Step-by-step explanation: Looking at the graph, you can count the units from the point N to the line, or you can find the difference between 4 and -2:  4- (-2) = 6

The altitude from N to LM is 6 units. Therefore, option A is the correct answer.

From the graph, triangle LMN is given.

What is the altitude length?

The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex.

From the given graph we can see, the altitude from N to LM is 6 units.

Therefore, option A is the correct answer.

To learn more about the altitude of a triangle visit:

https://brainly.com/question/28685698.

#SPJ6

A right triangle, JKL, is given with KJL = 30° and JKL = 90°. KM is drawn such that L, K, and M are collinear. points J and M are joined by JM with JM = JL. Find JML and explain your answer.
A- 30°
B-90°
C-180°
D-60°

Answers

Answer:

I tried but soory I can't understand

Answer:

D-60°

Step-by-step explanation:

K,L,M is collinear and JM=JL

M can only be extend to the left of K, otherwise it will overlap with L

JM = JL     ΔJML is isosceles triangle    ∠JML ≅ ∠JLM

∠JLM = 90 - ∠KJL = 90 - 30 = 60

∠JML = 60°

A square floor tile has a diagonal 19 inches long. What is the area of the tile?

Answers

Answer : diagonal length = d(x) = √2(x)



The length of the diagonal, d, as a function of x (length of one side) is
given by x^2 + x^2 = d^2, or
d(x) = √(2x^2) = √2(x)

What is the number?

10​% more than a number is 1​32.

Answers

Step-by-step explanation:

10% more = 110% of the number.

110% of the number = 132

100% of the number = 132 * (10/11) = 120.

The number is 120.

HELP PLEASE!! Algebra II

Answers

Answer:

Step-by-step explanation:

J is correct.. that function can never be less than 2

J is the correct answer

What is the coefficient in the term 7x?
A.0
B.1
C.7
D.x

Answers

Answer: (C.) 7The coefficient of the term 7x is 7 because the coefficient is the number that changes the variable which in this case is 7.

One serving of Raisin Bran cereal contains 50 percent of the 18 mg Daily Value for iron. How much iron will one serving of your cereal provide

Answers

Answer:

9 mg

Step-by-step explanation:

We are told in the question above that:

One serving of Raisin Bran cereal contains 50 percent of the 18 mg Daily Value for iron.

Hence, the amount of iron in 1 serving of Raisin Bran cereal =

50% × 18mg

50/100 × 18 mg

= 9 mg

98 1/10 % as a decimal

Answers

Answer:

98.1

Step-by-step explanation:

A rectangle is 1 cm more than twice its width. Find the dimensions of the rectangle if it’s area is 45cm.

Answers

Answer:

10*4.5

length=10cm, width=4.5cm

Hint: 2b^2+b-45=0

I hope it will be useful.

Solve the inequality. Graph the solution. Describe the graph in the area provided. Be sure to indicate where there is an open or closed circle and what direction the number
line is shaded in. You can upload a picture of your work and explanation instead of
typing if you prefer,
-27
12 (67– 12) or 315 – ) < 24

Answers

Step-by-step explanation:

The given inequality is :

[tex]-27\ge \dfrac{1}{2}(6x-12)[/tex]

Solving RHS of the inequality:

[tex]-27\ge \dfrac{1}{2}\times 2(3x-6)\\\\-27\ge (3x-6)[/tex]

Adding 6 both sides of the inequality

[tex]-27+6\ge (3x-6)+6\\\\-21\ge 3x\\\\x\le -7[/tex]

The attached figure shows the graph for the given inequality.

need answer quick plz!!

Answers

Answer:

Its B

Step-by-step explanation:

1^3 is 1

Answer:

The mistake is in part 2.

Step-by-step explanation:

2(1)^3 is 2(1) because 1*1*1 still =1. She was multiplying 1 by 3.

I'll give brainliest​

Answers

9514 1404 393

Answer:

  x = -2 or 3

Step-by-step explanation:

Let z = 2^x. Then the equation becomes ...

  [tex]2^{2x+2}+8=33(2^x)\\\\(2^2)(2^x)^2+8=33(2^x)\\\\4z^2+8=33z \qquad\text{substitute $z$ for $2^x$}\\\\4z^2-33z+8=0 \qquad\text{put the quadratic in standard form}\\\\(4z-1)(z-8)=0 \qquad\text{factor}\\\\z=\dfrac{1}{4}\text{ or }z=8\qquad\text{values of z that make the factors 0}\\\\x=\log_2{z}=\{-2,\ 3\}[/tex]

The values of x that satisfy the equation are -2 and 3.

_____

For the graph, we rewrite the equation to the form ...

  f(x) = 0

where

  f(x) = 2^(2x+2) +8 -33(2^x)

Then the x-intercepts of the function are the solution values for x.

One afternoon, 27 people withdraw $100 from an ATM. What was the overall change in the amount of money in the machine?​

Answers

Answer:

The change is a decrease of $2700.

Step-by-step explanation:

Given

Total Number of people = 27

Amount each person withdrew = $100

The total withdrawn amount by 27 people = 100 × 27

                                                                       = $2700

Let M be the amount of money in the ATM at the beginning.

As $2700 was drawn from the ATM, therefore, the change the amount of money in the machine will be:

M - 2700

It means the change is a decrease of $2700.

2/5x + 4 = 1/4x. Find x

Answers

Answer:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Exact Form:

x =  − 80 /3

Decimal Form:

x = −  26.  ¯

            6

Mixed Number Form:

x = − 26  2

          ----

           3

PLSSS HELP WILL MARK BRAINIST IF CORRECT

A farmer is painting a new barn. He will need to calculate the surface area of the barn to purchase the correct amount of paint. In which of the following units can the farmer expect to calculate the surface area?


m

m3

ft

ft2

Answers

Answer: ft2

Step-by-step explanation:

Answer:m2

Step-by-step explanation:

Bryce has 10 bals in a bag, each having a distinct color. He randomly picks a ball from the bag 4 times, with replacement. The expected number of distinct colors among the 4 balls Bryce picks can be expressed as a simplified fraction p q . Find p q.

Answers

Answer:

p = 1 ; q = 10,000

Step-by-step explanation:

Number of distinct colored balls = 10

Number of balls picked with replacement = 4

Probability = (number of required outcome / number of total possible outcomes)

Distinct picks :

P(1st) = 1 /10

P(2nd) = 1/10

P(3rd) = 1/10

P(4th) = 1/10

Expected Numbe of distinct color:

P(1st) * P(2nd) * P(3rd) * P(4th)

1/10 * 1/10 * 1/10 * 1/10

= 1/10000

p/q = 1/ 10000

p = 1 ; q = 10,000

Can you please help me?

Answers

It’s pi times the diameter which is 7 so it would be 22

Answer:

C = 21.98 in

Step-by-step explanation:

C = πd,

where C is the circumference, π equals 3.14, and d is the diameter.

C = πd

C = (3.14)(7)

C = 21.98 in

Hope this helps!

what is 15/ 30 plzzzzzzzzzzz help

Answers

Answer:

Wow, you're dense. It's 1/2, or 0.5

Step-by-step explanation:

hope i helped, but seriously.

Answer:

15/30=0.5

Step-by-step explanation:

15/30 =0.5

Explain why the solution of 5x – 3 > 14.5 or 5 x minus 3 greater than 14.5 or StartFraction 2 x plus 5 over 3 EndFraction less than 4. < 4 has a solution of all real numbers, with one exception.

Answers

Answer:

There is no point where x = 3.5

Step-by-step explanation:

Given the inequality

5x – 3 > 14.5

We are to find the range of all values of x

Add 3 to both sides of the equation;

5x - 3 + 3 > 14.5+ 3

5x > 17.5

x > 17.5/5

x > 3.5

Also for the inequality;

[tex]\frac{2x+5}{3} <4\\[/tex]

Cross multiply;

[tex]2x+5 < 3(4)\\2x + 5 < 12\\[/tex]

Subtract from both sides;

[tex]2x + 5-5 < 12-5\\2x < 7\\x<7/2\\x<3.5[/tex]

The solution to both inequalities are x > 3.5 and x < 3.5. Since there is no point where x = 3.5, hence the solution will have solution on all real numbers except at x = 3.5

Answer:

When solving the first inequality, you get x > 3.5. When solving the second inequality, you get x < 3.5. The solution of an "or” compound in equality is everything in both solution sets, so the solution set is all of the numbers less than 3.5 and greater than 3.5. Since neither of the inequalities includes 3.5, the compound inequality has a solution of all real numbers except 3.5.

Step-by-step explanation:

Graph the line that passes through the two points.
(0, 0), (3, 3)
Line
Undo
Redo
Х
3
2
1
-3
-2
-1
0
1
2
13
-1
-2-
-3
Find the slope of the line.
slope =

Answers

Answer:

Graph attachedSlope is 7

Step-by-step explanation:

First plot the two points on the graph (0, 0) and (1/3, 7/3)

Then connect those points by a line and extend the line

See attached

Slope is:

m = 7/3 : 1/3 = 7/3*3 = 7

Fast!!! Plz Help, Fill this out for me!!!!!!!!! Will give brainliest and it is also 15 points

Answers

1) the bag contains fewer than 10 carrots
2)Catherine biked father than 20 miles
3) The chair is shorter than 20 inches
4) Carlos scored over 20 points

A spherical balloon is being deflated at a rate of 5 cubic centimeters per second. At what rate is the radius of the balloon changing at the instant the volume of the balloon 972pi cm^3?

Answers

Answer:

0.0048cm/s

Step-by-step explanation:

Volume of the spherical balloon is expressed as;

[tex]V = 4/3 \pi r^3\\[/tex]

dV/dt = dV/dr * dr/dt

Given

dV/dt = 5cm³/s

dV/dr = 4πr²

Since V = 972picm³

972π = 4/3πr³

972 = 4/3r³

4r³ = 972 * 3

r³ = (972 *3)/4

r³ = 729

r = ∛729

r = 9cm

dV/dr = 4π(9)²

dV/dr = 324π

dV/dt = dV/dr * dr/dt

5 = 324πdr/dt

dr/dt = 5/324π

dr/dt = 5/324(3.14)

dr/dt = 5/1017.36

dr/dt = 0.0048cm/s

Solve for x: -4|x +5| =-16

Answers

Answer:

|x+5|=-16/-4

|x+5|=4

x=4-5

x=-1

Answer:

Step-by-step explanation:

-4(x + 5)=-16

-4 x x - 4 x 5=-16

-4x - 20=-16

-4x - 20 + 20=-16+20

-4x=4

-4x/-4=4/-4

x=-1

Chapter 1: Quadrati
END-OF-CHAPTER REVIEW EXERCISE 1
1
A curve has equation y = 2xy+ 5 and a line has equation 2x + 5y = 1.
The curve and the line intersect at the points A and B. Find the coordinates of the midpoint
of the line AB​

Answers

Answer:

mid point of AB (0.5 , 0)

Step-by-step explanation:

2x + 5y = 1      2x = 1 - 5y

y = 2xy+ 5 = (1 - 5y)*y + 5 = y - 5y² + 5

y-y = y - 5y² + 5 - y = - 5y² + 5

0 = - 5y² + 5

5y² = 5

y² = 1

y = 1 or y = -1

if y = 1       x = 1/2 (1 - 5) = -2   .... point A (-2 , 1)

if y = -1      x = 1/2 (1 + 5) = 3   ..... point B (3 , -1)

mid point of AB (x' , y') :  x' = 1/2 (x₁ + x₂) = 1/2 (-2 + 3) = 1/2

                                        y' =  1/2 (y₁ + y₂) = 1/2 (-1 + 1) = 0    

How can I divide 18/15 without any leftovers

Answers

Answer:

You can turn the leftovers into a decimal. the answer you would get would be 1.2.

Step-by-step explanation:

Hope this helps and have a nice day!

Answer:

Calculate out how many times the denominator goes into the numerator. To do that, divide 18 by 15 and keep only what is to the left of the decimal point:

18 / 15 = 1.2000 = 1

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

18 - (15 x 1) = 3

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

1 3/15

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 18/15 as a Mixed Number is:

1 1/5

Which would also equal to 1.2000.

Hope this kinda helped and made some sense.

            (☞゚ヮ゚)☞BRAINIEST☜(゚ヮ゚☜)            

Step-by-step explanation:

Can someone help me thank you

Answers

Answer:

A)The function is negative when x is less than 0

Step-by-step explanation:

2 over 5 divided by 6 over 7

Answers

Answer:

7/ 15

Step-by-step explanation:

2/ 5 × 7/ 6

reduce the numbers

1/ 5 × 7/ 3

multiply

= 7/ 15

hope it helps!

hey ok so i’m having trouble with my math test and i need help ASAP. someone please help me answer the following questions.

Answers

Answer:

9 a) degree is 4 and variable is 0 and co efficient is z

b) degree is 5 and the constant term is 7

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