A sequence is defined by the recursive function f(n + 1) =1/3 f(n). if f(3) 9= , what is f(1)

Answers

Answer 1

Answer:

f(1) = 81

Step-by-step explanation:

f(n + 1) = 1/3 f(n)

⇔ f(n) = 3 × f(n + 1)

……………………………

if f(3) = 9    f(2) = 3 × f(3) = 3 × 9 = 27

Then

f(1) = 3 × f(2) = 3 × 27 = 81


Related Questions

Solve for xxx.
Your answer must be simplified.
15 < -5 x

Answers

Answer:

x < - 3

Step-by-step explanation:

Given

15 < - 5x

Divide both sides by - 5, reversing the symbol as a result of dividing by a negative quantity

- 3 > x , that is

x < - 3

The simplified expression is x < -3.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.

For the given situation,

The expression is 15 < -5x

⇒ [tex]15 < -5 x[/tex]

Divide both sides by -5,

⇒ [tex]\frac{15}{-5} < \frac{-5}{-5} x[/tex]

When we divide an inequality with negative number, we need to change the sign,

⇒ [tex]-3 > x[/tex]

⇒ [tex]x < -3[/tex]

Hence we can conclude that the simplified expression is x < -3.

Learn more about inequalities here

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Estimate the answer by rounding each fraction to the nearest whole number and then adding. 13 7/10 + 10 1/8

Answers

9514 1404 393

Answer:

  24

Step-by-step explanation:

The rounded numbers are ...

  13 7/10 = 13.7 ⇒ 14

  10 1/8 = 10.125 ⇒ 10

The sum of the rounded numbers is 14 +10 = 24.

The estimate of the sum is 24.

Short Answer
Note: Your teacher will grade your response to ensure you receive proper credit for your answer
Describe how you would estimate the square root of a number that is not a perfect square without using a calculator

Answers

Answer:

The square root must be between the square roots of the perfect squares just above and just below your number.

For example the square root of 89 must be between 9 and 10.

Step-by-step explanation:

Write the equation of the line that passes through the points (8, 14) and (-2,-16) in slope-intercept form.

Answers

Answer:

y = 3x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 14) and (x₂, y₂ ) = (- 2, - 16)

m = [tex]\frac{-16-14}{-2-8}[/tex] = [tex]\frac{-30}{-10}[/tex] = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 14 ) , then

14 = 24 + c ⇒ c = 14 - 24 = - 10

y = 3x - 10 ← equation of line

PLEASE ANSWER!!!!!

An eagle is flying at an altitude of 280 feet. The angle of depression from the eagle to a mouse on the ground is 15º. What is the direct line distance from the eagle to the mouse? Round answer to the nearest thousandth.

Answers

[tex] \sin = \frac{opp}{hyp} [/tex]

[tex] \sin(15) = \frac{280}{hyp} [/tex]

[tex]hyp = \frac{280}{ \sin(15) } [/tex]

[tex]hyp = 1081.836925 \: feet[/tex]

The direct line distance from the eagle to the mouse is 1081.837 feet

Drop the answer love:)





Or.. i'll drop ur ip<3




mwa

Answers

-16x=-114.
X=7.13
Hope this helps.

First okay and second umm my what?! Lol

The answer is : - 112

We add 14 to both side

-16x - 14 = -126

       + 14    +14

-16x      =  - 112.    <- that’s the answer

Then we divide both sides by 16

X          =  7

Ta -Da!!

Also I’ll leave this.....

Helen plays basketball. For free throws, she makes the shot 75% of the time. Helen must now attempt two free throws. The probability that Helen makes the second free throw given that she made the first is 0.85. What is the probability that she makes both free throws?

Answers

Answer: 0.6375

Step-by-step explanation:

Let's assume that the event that she'll make the first shot is given as P(A) while making the second shot is P(B). Therefore, P(A/B) = 0.85

Therefore, the probability that she makes both free throws will be denoted as:

= 0.75 × 0.85

= 0.6375

Please put all these in order. Will give brainleast if answered correctly.

Answers

Answer: I can’t see the pic it’s blank

Step-by-step explanation:

Step-by-step explanation:

The answer is two because when you have one pen and buy another one it becomes two pens

1 + 7x
The sum of two numbersis 23. The greater number
is b. Select the expression that represents the lesser
number.

Answers

Answer:

Step-by-step explanation:

a+b = 23

a<b

a = 23-b

Please answer ASAP

The perimeter of a rectangle is 176 m. The length is equal to 3 times the width decreased by 4. Find the dimensions of the rectangle.

Answers

Answer:

L=65m

W=23m

Step-by-step explanation:

[tex]3W-4=L\\2L+2W=176\\\\2L+2W=176\\-2L+6W=8\\8W=184\\W=23m\\L=23*3-4=65m[/tex]

The length and width of the rectangle are 63m and 25m.

What is a rectangle?

A rectangle is a quadrilateral, a 2d shape that has four sides and four vertices.

We have,

The perimeter of a rectangle = 176 m

Length of the rectangle = L = 3 x (W- 4 )

Width of the rectangle = W

The perimeter of a rectangle is given by:

176 = 2 ( L + W )

176 = 2 ( 3 ( W - 4 ) + W )

176 = 2 ( 3W - 12 + W )

176 = 2 ( 4W - 12 )

176 = 8W - 24

176 + 24 = 8W

200 = 8W

W = 200 / 8

W = 25 m

Now,

Put W = 25 in L = 3 x ( W - 4 )

L = 3 x ( 25 - 4 )

L = 3 x 21

L = 63 m

We can cross-check:

Perimeter = 2 ( 63 + 25 ) = 2 ( 88 ) = 176 m

Thus the length and width of the rectangle are 63m and 25m.

Learn more about rectangles here:

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A
walking path across a park is represented by the equation y = -3x - 6. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3, 3). Identify the equation that represents the new path.

Answers

Answer:

We are given the path, y=-3x-6

The general form of the straight line is 'y=mx+b', where 'm' is the slope and 'b' is the y-intercept.

Thus, the slope of the given line is -3.

As, we have that the incipient path is perpendicular to the given path.

And, we ken that, 'Product of slopes of perpendicular lines is -1'.

Since, the incipient path passes through the point (-3,3). Superseding the values in the general form, we get,

b= 3+1

b= 4.

Step-by-step explanation:

if f(x)=3x-4 and g(x)=x^2 -1
what is f(g(-3))?

a) -34
b) 8
c) 20
d) 168

Answers

Answer: C) 20
Explanation: Subsitute (-3) into the g(x) equation so you get g(-3)= (-3)^2-1= 9-1=8
Then replace the x as 8 in f(x) and you get 3(8)-4=24-4= 20.

Write the equation 9 = -5x + 4 in the form ax + b = c, where c = 9.
What are the values of a and b?

Answers

Answer:

a = - 5x and b= 4

Step-by-step explanation:

So it becomes - 5x +4=9

Hope this helps pls tell if any mistakes

Answer:

dil bende ingilizce göründüğü için anlamıyoruuumm

Your parents are building a pool that is 7 ft wide and 12 ft long. They want to put a walkway around the pool that is x ft wide on all sides. Write a polynomial that represents the combined area of the pool and walkway. Answer needs to be in standard form and use x as your variable.

Answers

Answer:

Combined area = 4[tex]x^{2}[/tex] + 38x + 84

Step-by-step explanation:

The rectangle formed by the pool and walkway is 12 + 2x long and 7 + 2x wide.

Area of the rectangle = lw = (2x + 12)(2x + 7) = 4[tex]x^{2}[/tex] + 38x + 84

is 8 x 2/8 less than 8 or greater than 8

Answers

it is less because 8(2/8) would equal 2

Answer: yes if is

Step-by-step explanation:

What is the exact length of each side?

Answers

Answer:

[tex]6a^{2} \sqrt{ab}[/tex]

Step-by-step explanation:

area of square = side x side

thus, each side = square root of area

[tex]\sqrt{36a^5b}[/tex] = 6[tex]\sqrt{a^{4} ab}[/tex] = 6[tex]a^{2}[/tex][tex]\sqrt{ab}[/tex]

someone who can actually give the answer please answer this please! do not put nothing crazy or get reported!!
Find the zeros of this polynomial.

Answers

Answer:you’ll find the answer just by understanding and looking at the photo

Step-by-step explanation:

1/6(x + 6) = 11 What is x

Answers

Answer:

x = 60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

[tex]\frac{1}{6}[/tex](x+6)=11

[tex]\frac{1}{6}[/tex]x + 1 = 11

[tex]\frac{1}{6}[/tex]x +1 -1 = 11 -1

[tex]\frac{1}{6}[/tex]x * 6 = 10 *6

x = 60

To double check

[tex]\frac{1}{6}[/tex](60+6)=11

10+1 = 11

11 = 11

Help please! Thank youuuuuy

Answers

Step-by-step explanation:

can an.y gi.rl message me. i have no power to inbox

Answer the photo below thanks

Answers

Its 1 and 2 because 5 and 4 look similar but its not as close as 1 and 2 based on the photo u put
I agree the answer is A-(1 and 2)

Condense to a single logarithm : log 12 18+3 log 12 2

Answers

Answer:

2 or [tex] \log_{12} 144 [/tex]

Step-by-step explanation:

I assume 12 is the base.

[tex] \log_{12} 18 + 3 \log_{12} 2 = [/tex]

[tex] = \log_{12} 18 + \log_{12} 2^3 [/tex]

[tex] = \log_{12} (18 \times 8) [/tex]

[tex] = \log_{12} 144 [/tex]

[tex] = \log_{12} 12^2 [/tex]

[tex] = 2\log_{12} 12 [/tex]

[tex] = 2 [/tex]

The entire expression simplifies to 2, but if you need the simplest log expression, then you can use

[tex] \log_{12} 144 [/tex]

If the sales tax rate is 7.5% in New York State, then how much sales tax would you pay in Albany for a $34 pair of pants? What is the final cost?

Answers

Answer:

Sales Tax $2.55

Final Cost $36.55

Step-by-step explanation:

Finding sales tax

34 * 7.5%= 2.55

Multiply the tax with the original cost, that will be your sales tax

Finding final cost

34 + 2.55= 36.55

Add your sales tax with the original cost, now you have the final total

the cost of contructing a 63mcube wall is rs 84000. find the volume of each brick if the cost of a bric is rs 13

Answers

Answer:

0.00975 m^3 each

Step-by-step explanation:

rs 84000 / rs 13 = 6461.539 bricks

63 m^3 / 6461.539 = 0.00975 m^3 each

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of CD player with a selling price of $110

Answers

Answer:

Total Cost = 1.05x

CD Player cost = 110*1.05 = $115.50

Step-by-step explanation:

anyone think they could help me with this question???

Answers

Answer:

61

Step-by-step explanation:

As we can see the triangles are congruent so

< F = < C ( being corresponding angles of congruent triangle)

< C = 29

Now

<A +<B + <C = 180° { being sum of angles of triangle }

5x + 1 + 90 + 29 = 180°

5x = 180° - 120°

5x = 60°

x = 12°

<A = 5 * 12° + 1 = 61°

Hope it will help :)

find the value of a and b of a+root5 is (root5+root3)(root5-root3)​

Answers

Given:

Consider the value of [tex]a+b\sqrt{5}[/tex] is [tex](\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})[/tex].

To find:

The values of a and b.

Solution:

According to the given information,

[tex]a+b\sqrt{5}=(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})[/tex]

[tex]a+b\sqrt{5}=(\sqrt{5})^2-(\sqrt{3})^2[/tex]            [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]a+b\sqrt{5}=5-3[/tex]

[tex]a+b\sqrt{5}=2[/tex]

It can be written as

[tex]a+b\sqrt{5}=2+0\sqrt{5}[/tex]

On comparing both sides, we get

[tex]a=2,b=0[/tex]

Therefore, the value of a is 2 and the value of b is equal to 0.

el área de un mosaico es de 900cm2 ¿cuánto mide por lado cada mosaico​

Answers

Answer:

El lado de cada mosaico tiene una longitud de 30 cm.

Step-by-step explanation:

El area de un mosaico cuadrado es:

[tex]A=l^{2}[/tex]

Donde l es el lado del mosaico.

Entonces, si sabes que el area es 900 cm², el lado valdra:

[tex]900=l^{2}[/tex]

[tex]l=\sqrt{900}[/tex]

[tex]l=30\: cm[/tex]

Por lo tanto el lado de cada mosaico tiene una longitud de 30 cm.

Espero te haya servido!

Pleaseeee help I need a answer fast

Answers

Answer:

300

Step-by-step explanation:

im smart

What is the area of cross-section ADGF of this right rectangular prism?



A.
20 square units
B.
48 square units
C.
52 square units
D.
65 square units

Answers

Answer:

C.52 square units

Step-by-step explanation:

We are given that

Length of cross-section ADGF,l=13units

Length of cross-section ADGF, b=4 units

We have to find the area  of cross-section ADGF of this right rectangular prism.

We know that

Area of rectangle=[tex]l\times b[/tex]

Using the formula

Area of cross-section ADGF of this right rectangular prism

=[tex]13\times 4[/tex]

Area of cross-section ADGF of this right rectangular prism=52square units

Option C is correct.

C.52 square units

Answer:

i hope this helps

Step-by-step explanation:

Carlos tiene un terreno cuadrado que mide 8 m por lado. ¿Cuál es el área del terreno?¿Qué operación permite obtenerla?

Answers

Answer:

32 ,multiplica 8 por 2 en cuanto lo vi lo resolví

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