If f(1)=2 and f(n) = f(n-1)^2+4 then what is the value of f(3)?

Answers

Answer 1

Answer:

f(3) = 68

Step-by-step explanation:

Given:

[tex]\sf f(1)=2[/tex]

[tex]\sf f(n) = f(n-1)^2+4[/tex]

[tex]\sf \implies f(2) = f(1)^2+4[/tex]

[tex]\sf \implies f(2) = 2^2+4=8[/tex]

[tex]\sf \implies f(3) = f(2)^2+4[/tex]

[tex]\sf \implies f(3) = 8^2+4=68[/tex]


Related Questions

50% OFF the original price! What was the original price of a gymnastics mat whose sale price is $93?

Answers

Answer:

186

Step-by-step explanation:

186-50%= 93 or since 50% is half off 93×2=186.

On a TV game show, a contestant makes $700 for every correct answer but loses $400 for every wrong answer. After answering 22 questions, Sarah broke even. How many questions did she answer correctly?

Answers

Answer:

She answered 8 of them correctly.

Step-by-step explanation:

-100x – 100 = 0

-100x =
X =

Answers

Answer:

-1

Step-by-step explanation:

-100x-100=0

-100x=100

x/-100=100/-100

x=-1

When you are solving for a variable your goal is to get the variable by it seff.

x = -1

- 100x = 100

Step-by-step explanation:

[tex] - 100x - 100 = 0[/tex]

Move the constant to the right side and change the sign

[tex] - 100x = 100[/tex]

Change the sign of both side of the equation

[tex]100x = - 100[/tex]

Divide both side by the same number

[tex]x = - 1[/tex]

[tex] - 100x[/tex]

[tex] - 100 \times - 1[/tex]

Remove the ( - ) sign since negative number are multiplied by even number...

[tex]100 \times 1 \\ 100[/tex]

i really need help please

Answers

Answer:

56⁰

Step-by-step explanation:

I hope it helps you

If any doubts do let me know in the comments

Mason has a map of Alabama that measures 3/4 meter wide and 7/8 meter long . What is the area in square meters of mason map

Answers

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Length(l) of map = [tex]\sf\red{\frac{7}{8}m.}[/tex]

[tex]\rightarrow[/tex] Width(w) of map = [tex]\sf\red{\frac{3}{4}m.}[/tex]

[tex]\sf\large\underline{\star To \: Find:-}[/tex]

[tex]\rightarrow[/tex] Area of map.

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] From the above given dimensions we can conclude that map is in the shape of rectangle. So, we can find the area of map by using the formula: [tex]\sf\blue{Length×Width}[/tex]

So, let's begin

[tex]\rightarrow[/tex] Area of rectangular map = [tex]\sf{Length×Width}[/tex](putting the value of length and width from the above given)

[tex]\rightarrow[/tex][tex]\sf{=\:\frac{7}{8}×\frac{3}{4}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=\:\frac{21}{32}m^2}[/tex] Or,

[tex]\rightarrow[/tex][tex]\sf{=\: 0.65m^2}[/tex]

Therefore the area of the Mason map [tex]\sf\purple{=\: 0.65m^2}[/tex]or [tex]\sf\purple{\frac{21}{32}m^2}[/tex]

________________________________

Hope it helps you:)

A motorboat with the current went 72 mi in 4 hours. Against the current, the motorboat could go
only 40 mi in the same amount of time. Find the rate of the motorboat in calm water.

Answers

Answer:

14 mph

Step-by-step explanation:

Speed of boat in calm water = x

Speed of current = y

Speed of boat with the current = 72 mi / 4 hr = 18 mph

Speed of boat against current = 40 mi / 4 hr = 10 mph

x + y = 18

x - y = 10

2x = 28

x = 14

Answer: 14 mph

Answer:

14 m/hr

Step-by-step explanation:

72 m / 4 hr = 18 m/hr

40 m / 4 hr = 10 m/hr

still water speed =  (18+ 10 )/2 = 14 m/hr

 current speed   (14 -x) 4 = 40

                       x = current speed = 4 m/hr

Help!!!!

20. A class of 27 students is standing in front of a Do-It-Yourself Photo Booth. "Let's get
a picture of every possible pair of us," suggested Bart. "Well, gee," answered Mandy,
"that'd be a lot of pictures." How many pictures exactly?

Answers

Answer:

13 or 14 pictures

Step-by-step explanation:

there are 27 students who has decided to be grouped in pair. pair means 2, so mathematically

27 = 2 *x 27 can't make a pair

where x is the one student is removed

number of 26 is left

pictures x = 26 \ 2

x = 27 \ 2 OR x = 13 pictures

x = 13.5

x = 14 pictures

hope it help

There are 13 or 14 pictures can be taken.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

We have,

Total students at booth= 27 students

Number of person in a group = 2

Then, the possible number of pictures can be

x = 26/2

x= 13

Since one person is left and have a single photo which shows total 14 pictures.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

WILL GIVE BRAINLIEST

A student was calculating the residuals of a linear regression equation. The largest residual value found was between 0.90 and 1. What could be said about the data?

Answers

Answer:there is a very strong corolation

Step-by-step explanation:

what is 2x2x32 to the 2 power​

Answers

Answer:

16384

Step-by-step explanation:

Here is how you do it : (2*2*32)^(2)

Could 13.5cm, 8.0cm, 3.5cm, be the side lengths of a triangle

Answers

Answer:

No

Step-by-step explanation:

The biggest is the third side and the other two triangles have to bigger than that side and 8.0 plus 3.5 equals 11.5.

What is the surface area of the figure below

Answers

Answer: Its 120 cm

Step-by-step-explenation:

All you have to do is multiply

3x2=6

6x5=30

30x4=120

Three friends combine their
money to buy tickets for a hockey game. If they
share the change evenly, how much will each
friend receive? Write equations to represent the problem then solve.

Answers

Using proportions, considering that they spent $n to buy the ticket, each friend received an amount in dollars of [tex]\frac{n}{3}[/tex].

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we consider that they spent $n to buy the ticket. Since there are 3 friends and the amounts were divided evenly, each friend received an amount in dollars of [tex]\frac{n}{3}[/tex].

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

What is −1/8÷7/24?

Enter your answer in the box as a fraction in simplest form.

Answers

with fraction division, remember keep, change, flip!
that makes the expression this: -1/8 • 24/7
multiply them to get this: -24/56
then simplify by dividing the terms by 8: -3/7

-3/7 is the final answer.

What does AC=?
Round your answer to the nearest hundredth.

Please help

Answers

Answer: About 3.06

Step-by-step explanation:

  We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.

  Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.

      cos(θ) = [tex]\frac{adjacent}{hypotenuse }[/tex]

      cos(40) = [tex]\frac{x}{4}[/tex]

      0.766 ≈ [tex]\frac{x}{4}[/tex]

      3.06 ≈ x

      x ≈ 3.06

What do we do to both sides of this equation to solve?

x/3 =5
Question 4 options:

Add 3 to both sides


Subtract 3 from both sides


Multiply both sides by 3


Divide both sides by 3

Answers

Answer:

Multiply both sides by 3

Step-by-step explanation:

x/3 = 5

x/3 × 3 = 5×3

x = 15

Answer:

multipy both sides  by 3

Step-by-step explanation:

please please help me

Answers

Answer:

D. 102.6 in²

Step-by-step explanation:

The area of the square is 9 in² (3 × 3 = 9)

The area of the rectangle is 30 in² (3 × 10 = 30)

The area of the circle is 63.585 (a = πr², a = 3.14 × 4.5² - remember that the radius of a circle is half of the diameter)

Now, we can add these numbers together. 9 + 30 + 63.585 is 102.585 in² which is 102.6 in² rounded to 1 decimal place.

Hope this helps!

Answer:

Option D

Step-by-step explanation:

Square:

side = 3 in

[tex]\bf \boxed{\text{Area of square = side *side}}[/tex]

                        = 3*3

                        = 9 square inches

Rectangle:

length = 10 in

width = 3 in

[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]

                            = 10 *3

                           = 30 inches

Circle:

diameter = 9 in

radius = 9 ÷ 2 = 4.5 in

[tex]\boxed{ \text{Area of circle = $\pi r^{2}$}}[/tex]

                       = 3.14 * 4.5 *4.5

                        = 63.6 square inches

Total area = area of square + area of rectangle + area of circle

                  = 9 + 30 + 63.6

                  = 102.6 square inches

PLEASE HELP BRAINLIEST AND 10 POINTS


A sculptor is planning to order a cylinder of composite stone to sculpt a full-sized person. The figure will be 6 feet tall, and 2’ at the longest diameter. The composite stone weighs 50 pounds per cubic foot. About how much will the smallest cylinder weigh that the sculptor can order to make his statue?

Answers

47 lbs      

hope this helps

There are 5 cups of oatmeal in a container.Stella has1/3 cup of the oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container

Answers


Answer:

Step-by-stepStep-by-step explanation:
There are 5 cups.
She takes 1/3 every day
No of days: 5 / 1/3 = 5 x 3 = 15 days

There are two parts to this question.
part 1: Solve for x
part 2: what is the length of AB

Answers

AB = BD is given. Therefore,

7x + 10 = 9x-2

10 + 2 = 9x - 7x

12 = 2x

x = 2

Now, Put the value of x in value of AB

AB = 7x + 10

AB = 7 × 2 + 10

AB = 14 + 10

AB = 24

How do you use double angles to simplify equations? Please provide an example.

Answers

Answer:

provide an equation

ill let you know

Giving Brainliest again!
(It's very easy)



Manny invested $8000 in an account that pays 6.5% simple interest. Manny will not make any additional deposits or withdrawals. How many years must the money stay invested for before the investment has a balance of $13,200?

Answers

Answer:

10 years

Step-by-step explanation:

Simple interest formula:

AV=PV(1+it)

13200=8000(1+.065t)

1.65=1+.065x

.65=.065x

10=x

WHOEVER ANSWERS THE QUESTION FIRST WILL GET 15 POINTS!!!!!

Answers

Answer:

b

Step-by-step explanation:

the answer is b

in the problem you can put the expression into a calculator and you will get the answer 3

in option b, y+2=3 bc a variable is always equal to one so your basically adding 1+2 which is equal to 3

I HOPE I HELPED A BIT<3

i dont know what to do for tis

Answers

Answer:

is this by any chance about simultaneous equations? If so,

Step-by-step explanation:

Step 1 is telling us to decide on whether x and y should be the unknown. For instance, you want x to be the unknown, so u solve for x.

Step 2 is telling us to write equations with x and y.

For example,

7x + 5y = 12

7x - 2y = 9

This may not be accurate but it is an equation.

Step 4 is telling us to check whether the solution is accurate or not. For instance, we say 7 is x. so we substitude 7 into the original equation to see whether the answer we found is correct.

For step 5, im not really sure.

hope this helps though???

Mrs. Hynes gave each of her 8
students 3 pieces of candy. She
gave 1 student 2 extra pieces for
good behavior. How many pieces of
candy did she
give away in all?
PLEASE HELP and show work too please

Answers

26 pieces of candy were given away
26 pieces candy Were given

Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta. And his brother 1/6 of the pot. How much of the pot is left over?

Answers

Answer:

9/12 or 3/4

Step-by-step explanation:

1/6 = 2/12

2/12 + 1/12 = 3/12

12/12 - 3/12 = 9/12

9/12 simplified is 3/4

E
H
36
X + 10
57°
370
(5y + 7)º
G
60
F
J
36
1
Triangle FEG is similar to triangle IHJ. Find m_H.
mZH =
What is the answer?

Answers

Answer: 86 degrees

Step-by-step explanation:

Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 310 miles on 10 gallons of gas. How far could you drive on 70 gallons of gas? What is the car’s gas mileage?

Answers

Answer:

i) Gas mileage = 31 miles

ii) 2170 miles = 70 gallons

Step-by-step explanation (i):

310 miles on 10 gallons of gas.

⇒ 310 miles = 10 gallons

⇒ 310/10 miles = 10/10 gallons

31 miles = 1 gallon

Gas mileage = 31 miles

Step-by-step explanation (ii):

⇒ 31 miles = 1 gallon

⇒ 31 x 70 miles = 1 x 70 gallon

2170 miles = 70 gallons

What is the square root of –16?
–8i
–4i
4i
8i

Answers

4i
to get the square root of a negative number u just do it as if it wasn’t negative and add the little i at the end to symbolize that it was negative

Can someone please help me?

Answers

Answer:

152 ft²

Step-by-step explanation:

First, we can work out the area of the triangles using the formula 1/2 × base × height. 1/2 × 6 × 4 = 12 ft². This is the area of one triangle so we can multiply this by 2 to get the area of both triangles - 24ft².

Next, we can work out the area of the rectangular sides by multiplying the length and width together. 8 × 5 = 40ft². Again, this is the area of one rectangle so we can multiply this by 2 to get the area of both rectangles - 80ft².

Then, we can work out the area of the base by multiplying the length and width together. 8 × 6 = 48ft².

Finally, we can add all the areas together to find the total surface area of the tent. 24 + 80 + 48 = 152 ft².

Hope this helps!

HELP PLS MY SISTER NEEDS HELP A LOT I WILL GIVE BRAINLIEST

Answers

Answer:

38 is the correct answer

Step-by-step explanation:

6 x 7 - 16 ÷ 4

BODMAS

Division first

6 x 7 - 4

Then multiplication

42 - 4

Then subtraction

=38

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