write the first four terms of the sequence defined by the given rule f (1) = 3, f(n) = [ f(n - 1)] ^2

Answers

Answer 1

Answer:

3, 9, 81, 6561

Step-by-step explanation:

previous term × itself

Answer 2

[tex]\\ \sf\longmapsto f(n)=[f(n-1)]^2[/tex]

f(1)=3

[tex]\\ \sf\longmapsto f(2)=(f(1))^2=3^2=9[/tex]

[tex]\\ \sf\longmapsto f(3)=(f(2))^2=(9)^2=81[/tex]

[tex]\\ \sf\longmapsto f(4)=(f(3))^2=(81)^2=6561[/tex]


Related Questions

QUESTION: 3 ÷ 0.05
EMERGENCY: Pls answer

Answers

Step-by-step explanation:

=3/0.05

=60ans.

mark me as a brainlist plz.

the answer is 60

You can solve it in calculator

What is the hypotenuse? 68km 51km c

Answers

Answer:

85 km

Step-by-step explanation:

[tex]68^{2} +51^{2} =c^{2}[/tex]

4,624+2,601 = [tex]c^{2}[/tex]

7,225 =[tex]c^{2}[/tex]

Square both side and you get your answer 85km

one number is 6 more than the other number. also, 7 times the smaller number is equal to 6 times the larger number. find the two numbers.​

Answers

Answer:

x = 36; y = 42

Step-by-step explanation:

x+6 = y

7x = 6y

7x = 6(x+6)

7x = 6x+36

-6x  -6x

x = 36

_________

y = 36+6

y = 42

_________

Find x 7+2x/3=5
I’ve searched and I can’t find the answer

Answers

Answer:

0.6522

Step-by-step explanation:

A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The poll counted 5 million SUV’s. How many of the vehicles did they look at in total?

Answers

Answer:

20 million

Step-by-step explanation:

5 million SUVs are 25% of the total number of vehicles.

0.25x = 5,000,000

x = 20,000,000

Answer: 20 million

The question is an illustration of proportions.

A total of 20 million vehicles were looked into

The proportions are given as:

[tex]SUV = 25\%[/tex]

[tex]Trucks= 10\%[/tex]

Let the total number of vehicles be v.

The number of SUVs is given as 5 million.

So, we have:

[tex]SUV = 25\% \times v[/tex]

Substitute 5 million for SUV

[tex]5\ million= 25\% \times v[/tex]

Express the percentage as decimal

[tex]5\ million= 0.25 \times v[/tex]

Divide both sides of the equation by 0.25

[tex]20\ million = v[/tex]

Rewrite the equation as

[tex]v =20\ million[/tex]

Hence, 20 million vehicles were looked into

Read more about proportions at:

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what is the slope of a line parallel to the line on the graph?

Answers

Answer:

3/4

Step-by-step explanation:

To find the slope of a line parallel to this line, we first need to find the slope of this line. Using rise/run, you get that the slope is 6/8 which simplifies to 3/4.

The slope of any two parallel lines always is the same so the slope of a line parallel to the one given would be 3/4.

a line that is parallel to y=-3x+2 and contains the point (3,-3)

Answers

Answer:

y = -3x + 6

Step-by-step explanation:

Two lines that are parallel will have the same slope. All we need to do is find the new y-intercept.

-3 = -3(3) + b

-3 = -9 + b

6 = b

Now we can input the stuff we know and solved for back into the original formula [ y = mx + b ].

y = -3x + 6

Best of Luck!

A parallel line means our new line will have a slope equal to the original line.

The original line is in slope-intercept form, y = mx + b, where m is the slope and b is the value of the y-intercept. This tells us that the slope we want to use is m = -3

By using a slope of -3, with the given point (3,-4), we can now use the point-slope formula to find our new line.

Point-slope formula: y - y1 = m(x - x1) where m is the slope and the line passes through the point (x1,y1)

Combining our point and slope, we get:

y + 4 = -3(x - 3)

If we wish, we can rearrange this by distributing on the right hand side.

y + 4 = -3x + 9

We can then subtract 4 from both sides to get our answer in slope-intercept form

y + 4 - 4 = -3x + 9 - 4

y = -3x + 5

How do you evaluate -98 - 13

Answers

Evaluations can only be done with algebraic equations

Answer:

-111

Step-by-step explanation:

Subtract 13 from -98  

IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math

Answers

speed = 330/6 = 55 mph

Answer:

55mph

Step-by-step explanation:

average speed=330/6=55mph

Taylor’s domain is and range is Thomas domain is and range is

Answers

Step-by-step explanation:

please send your teacher some nice greetings from me, as this problem description is very incomplete.

we have to guess and assume a few things.

I assume that for both people there is a function describing how many objects (x and y) are sewn after a given amount of time (t).

and we are only looking at a single work day. and not a week or a year.

so,

x = Taylor(t)

y = Thomas(t)

remember that the domain is the interval or set of valid values for the input variable (the argument of the function). in our case here this is t.

and the range is the interval or set of valid values for the output variable (x and y).

so, the domain for Taylor is the interval of valid work time

[0, 8] in hours. we could also define it in minutes to not get confused, and that would be [0, 480] in minutes.

Taylor's range is then (as he can do 6 per hour = 1 every 10 minutes)

[0, 8×6] or [0, 480/10] = [0, 48].

the domain for Thomas is his valid work time [0, 10] in hours or [0,600] in minutes.

Thomas's range is then (2 per hour or 1 every 30 minutes)

[0, 10×2] or [0, 600/30] = [0, 20]

please pick for the domain the scale (hours or minutes) your teacher prefers. I suspect hours due to the phrasing, but just in case I showed you both.

Domain defines the input interval and range defines the output interval.

Here for both Taylor and Thomas Domain is how many hours they have worked and range for both of them is how many hats and mittens they have produced in their working hour.

Whatis domain and range ?

Domain defines the input interval and range defines the output interval corresponding to the domain interval.

In the given question domain of Taylor is (0,8) and each hat takes 10 mins or 1/6 hours

in 1/6 hours Taylor makes 1 hat

so, in (1/6 x 6) = 1 hour taylor will make ( 1 x 6 ) = 6 hats

so in 8 hours Taylor will make (8 x 6) = 48 hats

Range of taylor = (0,48).                             .(as in 0 hour he will make 0                                                                                                                                                                                                                                        

                                                                            hats )                                          

                                                                                                                         

Domain of Thomas is 10 hours = (0,10)

Every pair of mittens take 30 minutes or 1/2 hour

so , In 1/2 hour Thomas makes 1 pair of mittens

      In(1/2 x 2 ) = 1 hour he will make (1 x 2)= 2 pair of mittens.

      In 10 hours Thomas will make (2 x 10 ) = 20 pair of mittens.

The range of Thomas is (0,20).                 .(as in 0 hour he can make no                                                                                                                                                                                

                                                                                        pair of mittens)  

Learn more about Domain and Range here :

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#SPJ2                                    

Write the equation of the line passing through the points (-7,8) and (7,2) The equation of the line is [ ]Can someone please help me!!!

Answers

Answer:

the answer is y=−3/7x+5

Step-by-step explanation:

sorry if I did it wrong

Adam has $100 in his savings account. He earns $12 a week for babysitting. How much money will Adam have after 3 weeks of babysitting

Answers

Answer:

$136

Step-by-step explanation:

WHYYY ARE BOTS ON HERE HM HM?!

Answers

Answer:

Well it's because they want children to click there links for either tracking IP address's or just using it to bring you to another site.

Step-by-step explanation:

I need to know what the exact and estimated sum is

Answers

Answer:

Exact: 55.899

Estimate: 56

Step-by-step explanation:

8.176 + 5.802 + 41.921 = 55.899

8.176 ~ 8

5.802 ~ 6

41.921 ~ 42

8 + 6 + 42 = 56

a) What is the equation of the function

b) Compare the graph to f(x)=2(x+1)^2

Answers

Answer:
A) ((x+1)^2)-3

B) f(x) = 2(x+1)^2 is vertically stretched upwards by a factor of 2. In addition to this, it’s minimum value remains on the x-axis, due to there being no vertical translation like in the equation on part A.
So: The equation in part A has no vertical stretch, and does have a vertical translation, however it retains the same horizontal translation.

Explanation:
You can see the transformations by looking at the vertex and at least 1 other point.
Since it is a parabola we can start by saying:
f(x) = x^2
We also see a vertical translation of 3 units down:
f(x) = (x^2)-3
Lastly, we see a horizontal translation of 1 unit to the left:
f(x) = ((x-1)^2)-3
The answer is A hope this helps

newton's second law of motion States that the acceleration of an object is directly proportional to the force exerted on the object. if an object accelerates at a rate of 3 m/s2 , it will exert a force of 15 N. how much force will the same object exert if it accelerates at a rate of 7 m/s2?

pls pls pls help (๑•﹏•)​

Answers

Answer:

Step-by-step explanation:

F=(2kg)×(3ms2). ∴F=6kgms2=6 Newton. =6N. Therefore, Force required to accelerate the body is 6N

The force the same object will exert if it accelerates at a rate of 7 m/s² is 35 N

From the question,

We have that,

Newton's second law of motion states that the acceleration of an object is directly proportional to the force exerted on the object

Let a represent the acceleration and F represent the force exerted

Them we can write that

F ∝ a

Introducing a constant, m, which is the mass of the object

Then, we get

F = ma

From the question,

If an object accelerates at a rate of 3 m/s² , it will exert a force of 15 N

We will the determine the mass, m, of the object using the above formula

F = ma

We have that

a = 3 m/s²

F = 15 N

Using

F = ma

Then,

15 = m × 3

m = 15÷3

∴ m = 5kg

Now, we can determine the force the same object would exert if it accelerates at at rate of 7 m/s²

Using the same formula

F = ma

a = 7 m/s²

m = 5 kg

∴ F = 5 × 7

F = 35 N

Hence, the force the same object will exert if it accelerates at a rate of 7 m/s² is 35 N

Learn more here: https://brainly.com/question/20357188

What is 8 units to the left of (3, -7)

Answers

Answer:

(-5,4)

Step-by-step explanation:

Write each equation in slope intercept form Underline the slope and circle the y intercept in each equation 5x + 3y = 30

The slope - intercept form is ___
The slope is ___
The y - intercept is (_, _)

Answers

Answer:

y=-5/3x+10

-5/3

(0,10)

Step-by-step explanation:

5x+3y=30

-5x. -5x

3y=-5x+30

÷3. ÷3

y=-5/3x+10

the number by the x is the slope and the constant

is the y intercept. in a y intercept the x=0 and they y=the constant which is 10 in this case making it (0,10)

A textbook store sold a combined total of 288 history and psychology textbooks in a week. The number of history textbooks sold was two times the number of psychology textbooks sold. How many textbooks of each type were sold

Answers

Answer:

x=96 and y=192

Step-by-step explanation:

x+y=288 and 2x=y

plug y in and solve for x

x+2x=288

3x=288

x=96

plug x back in and solve for y

2(96)=y

y=192

Isis is 8 years younger than
her sister. The sum of
their ages is 44 years
How old is Isis and
how old is
her sister,

Answers

Answer:

Isis 18 and her sister 26

Step-by-step explanation:

Isis is 8 years younger than

her sister. The sum of

their ages is 44 years

How old is Isis and

how old is

her sister,

(44 - 8) : 2 = 18

18 + 8 = 26

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

check

23 + 18 = 44

the answer is good

Josh bought seven boxes. A week later half of all his boxes were destroyed in a fire. There are now only 22 boxes left. With how many did he start? Please write an equation.

Answers

Answer:

Josh started out with 37 boxes.

Step-by-step explanation:

The answer is 37. He started out with 37

Two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube. One particle travels 97 cm in the 1st 2 seconds, 93 cm in next 2 seconds , 89 cm in another next 2 seconds, etc. The other particle travels 49 cm in the 1st 2 seconds, 47 cm in the next 2 seconds , 45 cm in another next 2 seconds, etc. Find how long it takes for the particles to meet and hence, determine the distances travelled by each particle.

Answers

This shows that it will take the particle 23 secs to meet.

The distance travelled by each particle is 50cm

If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,

The first particle distances are 97cm, 93cm, 89cm... every 2secs

This form an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 97

d is the common difference = 4

Substitute

Tn = 97+(n - 1)(4)

Tn = 97 + 4n -4

Tn  = 4n  + 93

Similarly for the distances 49 cm, 47 cm, 45cm .....

This also forms an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 49

d is the common difference = 2

Substitute

Tn = 49+(n - 1)(2)

Tn = 49 + 2n -2

Tn  = 2n  + 47

For the particles to meet, this means that 4n  + 93 = 2n + 47

4n - 2n = 47 - 93

2n = -46

n = -23

This shows that it will take the particle 23 secs to meet.

To get the distance travelled by each particle

Tn  = 4n  + 93

T2 = 4(2) + 93

T2 = 101

For the other sequence;

Tn  = 2n  + 47

T2  = 2(2)  + 47

T2 = 51

Taking the difference;

D = 101 - 51 = 50cm

Hence the distance travelled by each particle is 50cm

Learn more here: https://brainly.com/question/13989292

The surface area of a piece of paper is 345 cm2. Use the fact that 10 mm = 1 cm to convert this area to mm2

Answers

Step-by-step explanation:

345cm²=34500mm²

:;

cm in mm(*10)

cm² in mm²(*100)

cm³ in mm²(*1000)

I'd appreciate the brainliest

i will give brainliest to the best answer.

Answers

Answer:

Step-by-step explanation:

The slope intercept form is like so:

y = mx + b

mx is the slope

b is the y-intercept

Now in your equation:

y = 0.25x + 2

0.25x is the slope

2 is the y-intercept

How much greater is the surface area of the rectangular prism than the surface area of the cube?

A. 36 cm2
B. 33 cm2
C. 18 cm2
D. 45 cm2

Answers

Answer: 18 cm2

Step-by-step explanation: the surface area of the cube is 54 cm2 and the rectangular prism is 72 cm2 so 72 - 54 = 18

Winston ate 180 hot dogs in 9 hours. At that rate, how many hot dogs
would he eat in 12 minutes?

Answers

Pls pls give me ur the earth code and wI

Find the indicated values by using the graph.


1. h(2)=_____

2. h(4)=_____

3. h(1)=_____

4. h(5)=_____

5. h(____)=4

6. h(____)=1

7. What are the values for h(____)=2?

Answers

Where is the function. You can not solve a problem with the function.

hey guys pls help me i need to submit this before 1hr .graphing an inverse function.y = 4x + 12 using the x values (-2,-1, 0, 1 and 2).​

Answers

Answer:

4, 8, 12, 16, 24

Step-by-step explanation:

Replace the x with the x values starting at -2 and use the equation with the new x value.

E.g.

x = -2

y = 4 * -2 + 12

y = 4

Sorry if my explanation isn't the best.

I need help with this question. Please & thank you!

Answers

B

dividing with the same numbers and different exponents is like subtracting the exponents

16-8 = 8

The answer is b because when they are used in a division problem they are subtracted

What is the least five-digit even number with no repeated digits?

Answers

Your answer is 10234
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