Given f(1) = 8 and
f(n) = 3 f(n-1) - 2 then f (4) =

Answers

Answer 1

Answer:

190

Step-by-step explanation:

f(1)=8

f(2)=3f((2-1))-2, f(2)=22

f(3)=3f((3-1))-2, f(3)=64

f(4)=3f((4-1))-2, f(4)=190


Related Questions

Pls help as soon as possible thank you

Answers

Answer:

answer is b

Step-by-step explanation:

6x+10

6*-3+10=-8

4x+4

4*-3+4=-8

How do you pass 10th grade geometry

Answers

Answer:

Study hard and stay determined

Find simple steps to help you remember and "wrap you head" around it better.

If you ask for help and try your best you should be able to get enough passing grades to pass 10th grade geometry. If I did, that means you can too.

How do you pass any course?

Study and study some more.

There is no easy road to success.

Math is not easy. If math were easy, everybody would get an A. What specific geometry topic are you stuck on? I am not that smart. I passed geometry at FDR HIGH SCHOOL back in the 1980s. We had no internet back then. At least you have YOU TUBE. If I passed, so can you.

A bicycle has a listed price of $643.95 before tax. If the sales tax rate is 6.75%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

  $687.42

Step-by-step explanation:

The total with tax is ...

  (price) + (tax rate)×(price)

  = price(1 +tax rate)

  = $643.95×1.0675 ≈ $687.42 . . . price with tax

Karma took a 50 question math test, but only 40 questions were correct. What was the percentage of correct answers?

Answers

Answer:

85 percent

Step-by-step explanation:

a coffee mug collection includes four red mugs, eight yellow mugs and two white mugs. What is the probability of selecting two white mugs one after another?

Answers

Assuming that the selection process was done without replacement, the probability of selecting two white mugs without replacement is 1/28

Given data

Sample Space

Red mugs = 4

yellow mugs = 8

white mugs = 2

Sample Size = 4+8+2 = 14

We are going to assume the selection was done with out replacement

Hence the probability of selecting the first white mug is

Pr(W1) = 2/8 = 1/4

The probability of selecting the second white mug is

Pr(W2) = 1/7

Hence the probability of selecting  two white mugs one after another

= 1/4*1/7

=1/28

Learn more about probability at:

https://brainly.com/question/25839839

Solve for equation for x: 5x^2 – 10x – 6 = 0

Answers

Correct me if im wrong po

Determine whether or not the given value is a solution. 1. -5x + 4 = -1; x = -1 2.4x3 = -7; x = -1 3. 3y -4 = 5; y = // 4.-2y + 7 = 12; y = -1/2 5.3a-6 = 18 - a; a = -3 6. 5(2t - 1) = 2 = t; t = 2 7. ax = b = 0; x = b/a 8. ax + b = 2b; x = b/a​

Answers

#1

[tex]\\ \sf\hookrightarrow -5x+4=-1[/tex]

[tex]\\ \sf\hookrightarrow -5x=-5[/tex]

[tex]\\ \sf\hookrightarrow x=1[/tex]

Incorrect

#2

[tex]\\ \sf\hookrightarrow 4x-3=-7[/tex]

[tex]\\ \sf\hookrightarrow 4x=-4[/tex]

[tex]\\ \sf\hookrightarrow x=-1[/tex]

Correct

#3

[tex]\\ \sf\hookrightarrow 3y-4=5[/tex]

[tex]\\ \sf\hookrightarrow 3y=9[/tex]

[tex]\\ \sf\hookrightarrow y=3[/tex]

Ans not given

#4

[tex]\\ \sf\hookrightarrow -2y+7=12[/tex]

[tex]\\ \sf\hookrightarrow -2y=5[/tex]

[tex]\\ \sf\hookrightarrow y=-5/2[/tex]

Incorrect

#5

[tex]\\ \sf\hookrightarrow 3a-6=18-a[/tex]

[tex]\\ \sf\hookrightarrow 4a=24[/tex]

[tex]\\ \sf\hookrightarrow a=6[/tex]

Incorrect

#6

[tex]\\ \sf\hookrightarrow 5(2t-1)=2[/tex]

[tex]\\ \sf\hookrightarrow 10t=7[/tex]

[tex]\\ \sf\hookrightarrow t=7/10[/tex]

Incorrect

#7

[tex]\\ \sf\hookrightarrow ax-b=0[/tex]

[tex]\\ \sf\hookrightarrow x=\dfrac{b}{a}[/tex]

Correct

Done

What is the percent decrease from 95 to 68 round to the nearest percent

Answers

The decrease is  (95-68) = 27 .

As a fraction, the decrease is  27/95  of the original amount.

To change any fraction to a decimal, do the division:

                            (27)  divided by  (95) = 0.2842...

To change any decimal to a percentage, move the

decimal point two places that ==> way:

                            0.2842...  =  28.42... %Answer:

Step-by-step explanation:

[tex]\qquad[/tex]☀️ At first we need to find out the difference between 95 and 68.

[tex]\qquad[/tex][tex] \sf \longrightarrow 68 -95 \\[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow -27[/tex]

[tex]\qquad[/tex]☀️ Now, divide the number by "the starting number.

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{-27 }{97}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842[/tex]

[tex]\qquad[/tex]☀️ And finally, we have to multiply the result by 100 to get it in terms of percent.

[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842 \times 100[/tex]

[tex]\qquad[/tex][tex] \red{\bf \longrightarrow -28.42℅}[/tex]

Hence, The answer will be -28.42℅

[tex]\qquad[/tex]_________________________

A family of 6 used 5400l of water in 7 days. Each member of the family used the same amount of water each day. How many litres of water did each person use in a day?

Answers

Answer:

Hello! The answer for this is 900 liters a day

Step-by-step explanation:

Look at the sheet for answer.

Giving 100 points for this and Brainliest!!

Well I ask this question for 100 points: I don't know how much it will give you

Please give me an explanation, no link please:

Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?

Answers

Answer: Sarah found 10 shark teeth(3 + 7 = 10).

John found 5 shark teeth(10/2 = 5).

The total money they earned was $5 x 15 = $75.

Explanation;

Given that:

$5 per shark tooth15 total collected shark teeth

5 x 15 = 75, therefore the total money Sarah and John earned was $75.

The few sentences to end Sarah's story are: Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.

Answer:

Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.

Part 1: Writing Expressions

Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

25(10j + 18 + 5j)

Step-by-step explanation:

Solve for x.
8x - 5 = 6x + 8x + 10

Answers

Answer:x = -5/2Step-by-step explanation:8x - 5 = 6x + 8x + 10=> 8x - 14x = 5 + 10=> -6x = 15=> x = -15/6=> x = -5/2Conclusion:

Therefore, we found that x = -5/2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

the answer is x=-5/2

What is the missing number in the table

Answers

16
Because the pattern is *4
So 4*4 =16

I need help with math

Answers

51+60= 111 Answers fast rights

Evaluate the expression 2-8 × 2-7=

Answers

Answer:

-21

Step-by-step explanation:

2-8 × 2-7 = 2-(8×2)-7

= 2-16-7

=-14-7

=-21

Jordan made this design from three pieces of square shaped cloth. What is the total area of design Jordan made? EXPLAIN how u found your answer

Answers

Applying the area of a square, the total area of the design is: 116 cm²

Area of Square

A square has equal side lengths, s, this, the area of a square is given as: A = s².

The three pieces of square shaped cloth that Jordan made the design from is shown in the image attached below.

To find the total area of the design, find the area of each square shaped cloth and add all together.

Thus, applying the area of a square, the total area would be:

Total Area = 4² + 6² + 8²

Total Area = 116 cm²

Learn more about area of square on:

https://brainly.com/question/16758129

solve: s=4 + square rooted s+5

Answers

S=2.6 Because the square root of four hours to and it is 2.6

1/8+1/4=? do you know what it could be!?

Answers

Answer:0.375

Step-by-step explanation:

1/8 + 1/4 = 3/ 8=0.375

Help help math math

Answers

Answer:

5/1

Step-by-step explanation:

the y is 5units and the x is 1unit

Answer:

7/4

Step-by-step explanation:

Use rise over run to solve

4-(-3)         7

-------- =      -

6-2            4

Solve. 6 Everyone at a park was either hiking or riding a bike. There were 24 more hikers than bike riders. If there were a total of 100 people at the park, how many were hiking?​

Answers

b r = 178 + h;

b r + h = 676;

then, 178 + 2h = 676 => h = 498/2 = 249 => b r = 178 + 249 = 427

Answer:

676

Step-by-step explanation:

h=b+178=427

b=b=249

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

(b+178)+b=676

2b+178=676

2b=498

b=249

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

249+427=676

Kaneppeleqw and 2 more u

It took Erika 8 games to score 30 points. At that rate, how many games will it take her to score 45 points?

Answers

Answer : 12 games

Step - by - step explanation :

In - order to find out how many games it will take Erika to get 45 points we need to find out how many points she normally gets in 1 game . . .

What is 30 divided by 8 ? 3.75 ( So Erika gets 3.75 points per game ! )

What is 45 divided by 3.75 ? 12 ( So Erika had to play 12 games in - order to get 45 points ! )

8. The exact lengths of the segments
connecting corresponding vertices
are:
BK = 2.2 units KB' = 2.2 units
AJ = 5.6 units JA' = 5.6 units
CL = 3.8 units LC' = 3.8 units
Which segments have equal
lengths?
no segments
all segments
corresponding segments

Answers

Answer:

corresponding segments

Step-by-step explanation:

BK = KB'

AJ - JA'

CL = LC'

Please help!! Best answer gets brainliest<3

Answers

X= 25.65 + 16.5 - 12.45
X= 29.70

Am i blind or does this just not make any sense? Pls help!

Answers

Answer:

0.4

Step-by-step explanation:

2/5 converted into hundredths is 40/100.

40/100 as a decimal is 0.40, or 0.4

-hope it helps

It is C, 0.4, it is asking for the fraction to be a decimal

In the New York marathon there were 45 360 runners. 7 /10 of the runners were women. How many of the runners were men? ​

Answers

Answer:

13,608

Step-by-step explanation:

If 7/10 of the runners were women, than 3/10 of the runners were men. 3/10 of 45,360 runners is 13,608.

Hope this helps! Pls give brainliest! Also, plz sub to kgirl633 on yt.

After a storm damages the community center, Shanika and her friends hold fundraising events to help pay for repairs. After the first event, they raise $240, which is 10% of the total amount that they want to raise

Answers

Answer:

Step-by-step explanation:

The total they want to raise is $2,400 if that is what you're asking?

Brandon just got a job at a restaurant. He worked 7 hours and got paid $63. He earns the same amount each hour. How much did Brandon make each hour. In complete Sentence

Answers

Answer:

Brandon will make 9 dollars an hour while he works at the resturant

Step-by-step explanation:

63/7=9

Hi!

If he got paid $63 an hour, and he worked 7 hours, we just have to simply divide 63 by 7.

7 goes into 63 nine times, therefore he makes $9 per hour.

Hope this helps and let me know if you need any other help! :D

Fill in the blank f(x)=2x+1, then f(___)=13

Answers

Answer:

if f(x)=2x+1 then insert 6 in x

f(6)=2*6+1

f(6)=13

so the answer is 13

3. Find the area of the trapezoid.
8 ft
4V3
10 ft

Answers

Answer:

[tex]32\sqrt3[/tex]

Step-by-step explanation:

We need first to find the measure of the red horizontal line, call it x. The triangle i filled is a right triangle, so we can apply pythagoras theorem,

[tex]8^2 = x^2+(4\sqrt3)^2 \rightarrow 64=x^2+(16\times3) \\x^2=64-48 \rightarrow x^2=16 \rightarrow x=4[/tex]

(we are talking lengths of segment so we take only the positive root!)

At this point we can find the length of the smaller base of the trapezoid (which is [tex]10-4=6[/tex]) and apply the formula, or split the figure in a rectangle of sides 6 and [tex]4\sqrt3[/tex] and a triangle of sides [tex]4\sqrt3[/tex] and 4.

With the trapezoid formula

[tex]A=\frac12(B+b)h = \frac12(10+6)4\sqrt3 = 32\sqrt3[/tex]

With the sum of figures:

[tex]A= bh+\frac12 xh=6\times4\sqrt3 +\frac12\times4\times4\sqrt3=24\sqrt3+8\sqrt3=32\sqrt3[/tex]

Express (8 - 3sqrt(2))/(4 + 3sqrt(2)) in the form of a + b * sqrt(2) where a and b are integers.​

Answers

Answer:   [tex]\boldsymbol{-25+18\sqrt{2}}[/tex]

The expression is in the form [tex]a+b\sqrt{2}[/tex] where a = -25 and b = 18

==========================================================

Work Shown:

Let [tex]x = 3\sqrt{2}[/tex] and then square both sides

[tex]x = 3\sqrt{2}\\\\x^2 = \left(3\sqrt{2}\right)^2\\\\x^2 = \left(3\right)^2*\left(\sqrt{2}\right)^2\\\\x^2 = 9*2\\\\x^2 = 18\\\\[/tex]

We'll use both x and x^2 later on.

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

The denominator is in the form 4+x. We'll multiply top and bottom by 4-x to then use the difference of squares rule. This will allow us to eliminate the square root in the denominator.

[tex]\frac{8-3\sqrt{2}}{4+3\sqrt{2}}\\\\\frac{8-x}{4+x}\\\\\frac{(8-x)(4-x)}{(4+x)(4-x)}\\\\\frac{32-8x-4x+x^2}{16-x^2} \ \text{ difference of squares rule}\\\\\frac{32-12x+x^2}{16-x^2}\\\\[/tex]

[tex]\frac{32-12*3\sqrt{2}+18}{16-18} \ \text{ plug in } x = 3\sqrt{2} \text{ and } x^2 = 18\\\\\frac{50-36\sqrt{2}}{-2}\\\\\frac{-2(-25+18\sqrt{2})}{-2}\\\\\boldsymbol{-25+18\sqrt{2}}[/tex]

Therefore,

[tex]\frac{8-3\sqrt{2}}{4+3\sqrt{2}}=\boldsymbol{-25+18\sqrt{2}}[/tex]

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

Checking the answer:

Use a calculator to find that,

[tex]\frac{8-3\sqrt{2}}{4+3\sqrt{2}} \approx 0.45584412271571 \\\\-25+18\sqrt{2} \approx 0.45584412271571[/tex]

We get the same decimal approximation, which helps confirm the correct answer.

Or you could use the idea that if M = N, then M-N = 0 to subtract the original expression M and the final result N. You should get 0 or very close to it.

The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 1.4 times every eight hours. The shopping center is open from 10 A.M. to 9 P.M. (11 hours). Let r be the number of shoplifting incidents caught by security in an 11-hour period during which the center is open.
(a) Explain why the Poisson probability distribution would be a good choice for the random variable r.
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are dependent.
Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are independent.
Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are dependent.
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.

What is ? (Round your answer to three decimal places.)


(b) What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security? (Round your answer to four decimal places.)


(c) What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security? (Round your answer to four decimal places.)


(d) What is the probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security? (Round your answer to four decimal places.)

Answers

Using the Poisson distribution, it is found that:

a) Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.b) 0.8541 = 85.41% probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security.c) 0.303 = 30.3% probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security.d) 0.1459 = 14.59% probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.

Item a:

In this problem, we are given the mean during an interval, which is a common event(1.4 every 8 hours), and intervals can be assumed to be independent, hence, the correct option is:

Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.

Item b:

Mean of 1.4 every 8 hours, hence, every 11 hours, the mean is:

[tex]\mu = 11 \times \frac{1.4}{8} = 1.925[/tex]

The probability is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]

Then

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1459 = 0.8541[/tex]

0.8541 = 85.41% probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security.

Item c:

The probability is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which:

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

Then:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]

[tex]P(X = 1) = \frac{e^{-1.925}(1.925)^{1}}{(1)!} = 0.2808[/tex]

[tex]P(X = 2) = \frac{e^{-1.925}(1.925)^{2}}{(2)!} = 0.2703[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1459 + 0.2808 + 0.2703 = 0.697[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.697 = 0.303[/tex]

0.303 = 30.3% probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security.

Item d:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]

0.1459 = 14.59% probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security.

To learn more about the Poisson distribution, you can take a look at https://brainly.com/question/13971530

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