If f(1) = 1 and f(n + 1) = 5f(n) + 3 then find the value of f(4).

Answers

Answer 1

Answer:

218

Step-by-step explanation:

Because we need f(n) to calculate f(n+1), we have to calculate our values one step at a time. Starting with f(1) = 1,

f(2) = 5(f(1)) + 3 = 5(1) + 3 = 5+3 = 8

f(3) = 5(8) + 3 = 40 + 3 = 43

f(4) = 5(43) + 3 = 215 + 3 = 218


Related Questions

(18)Calculate the volume of this shape

Answers

Answer:

108 cm cubed

Step-by-step explanation:

(1/2 of length•height)•width

(1/2 of 6•4)•9

(1/2 of 24) •9

12•9

108

31. The volume in a water drum is halved every 2 days of a drought. If the volume of water
in the drum was initially 1,000,000 gallons, what was the approximate volume after 10
days?

Answers

Answer:

30'000 gallons approx

Step-by-step explanation:

day 2 - 500,000 gallons

day 4 - 250,000 gallons

day 6 - 125,000 gallons

day 8 - 62,500 gallons

day 10 - 31,250 gallons

Maham has a number of apples. She could share my apples equally among 3, 4, or 5 people. What is the smallest number of apples Maham could have?

Answers

Answer:  60

The value 60 is the LCM of 3, 4 and 5.

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

Explanation:

LCM = lowest common multiple

To find the LCM, we list out the prime factorization of each number

3 = 3*14 = 2*25 = 5*1

Ignoring the factors of 1, we have the unique primes of 2, 3, 5. There are 2 copies of '2', one copy of '3', and one copy of '5'. So we multiply this out to get 2*2*3*5 = 4*15 = 60

----------

If she had 60 apples, and wanted to give them to 3 friends, then each friend gets 60/3 = 20 apples

If instead, she had 4 friends, then each friend gets 60/4 = 15 apples.

Or if she had 5 friends, then each friend gets 60/5 = 12 apples.

For any of those three cases, there are no leftovers or remainders.

Any multiple of 60 will work (eg: 120 or 180), but 60 is the smallest such number that allows her to divide the apples this way without any leftovers.

Answer:

60

Step-by-step explanation:

60 / 3 = 15

60 / 4 = 20

60 / 5 = 12

They all divide evenly.

A trinket factory can produce 3000 trinkets per day the. warehouse has a capacity of 50000 trinkets .currently there are 8000 trinkets in the warehouse assume that no trinkets are going to be shipped out of the warehouse for a while

Answers

Answer:

14 days

Step-by-step explanation:

Since there are already 8000 trinkets in the warehouse, this means that we need to find the number of days it will take for the factory to create 42,000 trinkets which would cause the warehouse to max out it's capacity.

50,000 - 8000 = 42,000 trinkets

Since the factory can produce 3000 trinkets per day, we simply need to divide 42,000 by 3000 to get the number of days before the warehouse is at max capacity

42,000 / 3000 = 14 days

Therefore, it will take 14 days for the warehouse to be filled

Help please help 50 points!!!!! no links or i will report if you know how to solve just answeer pllllease !!

Answers

Answer:

39.6 degrees

Step-by-step explanation:

There are 176 baseball answers out of 1600

There are 360 degrees in a circle

Multiply the fraction of baseball responses by the degrees in a circle

176/1600 * 360

198/5

39.6 degrees

Algebra 2:
A boy has five-dollar coins and y ten dollar coins. There are 8 coins altogether and their total value is $55. How many of each coins do he have?
no links they don't open.​

Answers

Answer:

5 five-dollar coins and 3 ten-dollar coins

Step-by-step explanation:

10x3=30

5x5=25

30+25=55

help me please ASAP

Answers

Answer:

A.

Step-by-step explanation:

Vertical shifts are represented by - or +, and they are not within the parenthesis. Since the function is being shifted down by 2 units, the correct answer is A.

Describe each transformation that must be applied to f(x)=x² to get the function g(x)=1/2(x+2)² (30 POINTS)

Answers

Answer:

translate 2 units to the left and compress by 1/2 in the y direction

Step-by-step explanation:

f(x)=x²

y = f(x + C)  C > 0 moves it left

We add 2 to move it 2 units to the left

h(x) = (x+2)^2

y = Cf(x) 0 < C < 1 compresses it in the y direction

g(x) = 1/2 (x+2)^2

What is the solution to this equation?
X+ 7 = -8
O A. x= 15
O B. x= 1
O c. x = -15
O D. x= -1

Answers

C. x = -15

Explanation:
Replace x with -15 to check ur answer
-15 + 7 = -8
THIS EQUATION IS TRUE.

Mark me brainliest ty!

Whoever answers these 2 right gets brainliest and 25 points!

Answers

The first one is B and the second one is C

Simplify (6x^2 − 8x) ÷ (2x) step by step
a. 2x − 3
b. 2x + 3
c. 3x − 4
d. 3x − 8

Answers

Answer:

3x - 4

Step-by-step explanation:

(6x^2 − 8x) ÷ (2x) =

(6x^2)/2x - 8x/2x =                 

3x - 4

Answer:

(C). 3x - 4

Step-by-step explanation:

It will be easily to break this down so,

6/2=3

x^2/x=x

therefore, 6x^2/2x = 3x

Minus stay minus

8/2 = 4

x/x=1

therefore, 8x/2x=4

If we put it all together,

3x - 4

if this helps you, please give brainliest!

What is a carbon footprint? What are some actions you can take to reduce your carbon footprint?

Answers

The dictionary definition of a carbon footprint is “the amount of carbon dioxide released into the atmosphere as a result of the activities of a particular individual, organisation or community.” Some things you can do to reduce your carbon footprint is walk, use less plastic, and turn off lights/electric appliances when not in use.

53% of 80
? What is the percentage?

Answers

Answer:

42.4

Hope that this helps!

Answer: 66.25%

Step-by-step explanation:

53/80 x 100= 66.25%

HELP! What is the surface area of the right cone below?
12 6

A. 339 sq. units
B. 245 sq. units
C. 185 sq. units
D. 582 sq. units

Answers

Its A i put it in a calculator and that was the closest answer

The surface area of the right cone is,

⇒ 339 units²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Radius of right cone = 6 units

Slant height of right cone = 12 units

Now, We know that;

The formula for the total surface area of a right cone is,

⇒ T. S. A = πrl + πr²

Hence, We get;

The surface area of the right cone is,

⇒ 3.14 × 6 × 12 + 3.14 × 6²

⇒ 226.08 + 113.04

⇒ 339.1

⇒ 339 units²

Thus, The surface area of the right cone is,

⇒ 339 units²

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Someone please help me with this lol… have no idea what I’m doing

Answers

Given:

[tex]\cos \theta =\dfrac{3}{5}[/tex]

[tex]\sin \theta <0[/tex]

To find:

The quadrant of the terminal side of [tex]\theta[/tex] and find the value of [tex]\sin\theta[/tex].

Solution:

We know that,

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II: Only sin and cosec are positive.

In Quadrant III: Only tan and cot are positive.

In Quadrant IV: Only cos and sec are positive.

It is given that,

[tex]\cos \theta =\dfrac{3}{5}[/tex]

[tex]\sin \theta <0[/tex]

Here cos is positive and sine is negative. So, [tex]\theta [/tex] must be lies in Quadrant IV.

We know that,

[tex]\sin^2\theta +\cos^2\theta =1[/tex]

[tex]\sin^2\theta=1-\cos^2\theta[/tex]

[tex]\sin \theta=\pm \sqrt{1-\cos^2\theta}[/tex]

It is only negative because [tex]\theta [/tex] lies in Quadrant IV. So,

[tex]\sin \theta=-\sqrt{1-\cos^2\theta}[/tex]

After substituting [tex]\cos \theta =\dfrac{3}{5}[/tex], we get

[tex]\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}[/tex]

[tex]\sin \theta=-\sqrt{1-\dfrac{9}{25}}[/tex]

[tex]\sin \theta=-\sqrt{\dfrac{25-9}{25}}[/tex]

[tex]\sin \theta=-\sqrt{\dfrac{16}{25}}[/tex]

[tex]\sin \theta=-\dfrac{4}{5}[/tex]

Therefore, the correct option is B.

HELPPPPP!!!! ASAPPPPP!!!!!

Answers

Answer:

24

Step-by-step explanation:

XW=WY=12

If the opposite angle is 30, the hypotenuse is double the small side.

XZ=XW=2·12=24

Jen's test grades for this term are 85,92, and 95. She wants to have a test average of at least 90 for this term, and she will have one more test. What is the lowest score that she can get to have a test average of at least 90?

Answers

Answer:

Step-by-step explanation:

(85+92+95+x)/4

=90

(272+x)/4

=90

90×4=360

272+x=360

x=360-272=88

so it's the lowest score

20 BRLAIFAST
NELS
PURCHASE
BAUNE OF
CUT CARD IN
COUPS
50
Jimmy was given a gift card to
his favorite breakfast restaurant.
What equation represents the
balance of the gift card in
dollars, y, when x amount of
breakfast meals are purchased?
35
20
6
5

Answers

Cono Bueno no entiendo

In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree.

Answers

Answer:

There is no possible value for P

Step-by-step explanation:

In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree

We solve using the law of sines

p/sin P = r/sin R

7.6/sin P = 3.5/sin 160

Cross Multiply

sin P × 3.5 = 7.6 × sin 160

sin P = 7.6 × sin 160/3.5

P = arc sin (7.6 × sin 160/3.5)

There is no possible value for P

15/25 = y/30. Solve for y.

Answers

15/25= y/30

y= 3/5×30

y= 3×6

y=18

THE ANSWER IS Y=18

Answer:

y = 6

Step-by-step explanation:

One way of doing this problem is to start by reducing the first fraction, 5/25, obtaining 1/5.  Then

 1       y

---- = -----

  5    30

Through cross-multiplication, we get 5y = 30, or y = 6

to the girl who helped me <3 please help me again.

Answers

Answer:

x = 11

Step-by-step explanation:

<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel

<4 = <5

7x+5 = 5x+27

Subtract 5x from each side

7x+5-5x = 5x+27-5x

2x+5 = 27

Subtract 5 from each side

2x+5-5=27-5

2x =22

Divide by 2

2x/2 =22/2

x =11

Analyze the diagram below and complete the instructions that follow. find tan

Answers

Let the side opposite 30 degrees be A and the side adjacent 30 degrees be B

15 POINTS FOR WHO WILL ANSWER


You are going on a road trip with your family in the winter break, like you did last year .Your family is wondering which car you used for the trip was faster, your mother’s sedan car or your father’s car SUV

Last year, when your father filled the tank, he recorded the miles on the SUV as 24,033 miles. He paid 83.53$ to fill up the empty gas tank of the SUV. This year, You’ve decided to take your mother’s sedan car. When she filled the tank, it recorded the miles as 15,004. It took 71.98$ to fill up the vehicle’s empty gas tank



Which car is faster? And use the graph

Answers

Answer:

The 24,003 is the fastest

SUV would be faster

What is the maximum value of this function?

Answers

Maximum value if this parabola is 7 when x=6 giving the coordinate (6,7) so 7 is your answer

Express 4x + 3y - 8 = 0 in slope and y-intercept form.

Answers

Step-by-step explanation:

Given equation :-

4x + 3y - 8 = 0

Slope intercept form :-

y = mx + c

→ 4x + 3y - 8 = 0

→ 3y = -4x + 8

→ y = (-4x + 8)/3

y = -4/3x + 8/3

Answer:

y = -4/3x + 8/3.

Step-by-step explanation:

4x + 3y - 8 = 0

3y  - 8 = -4x

3y = -4x + 8

Divide through by 3:

y = -4/3x + 8/3.

For a rollerblading party there are 50 tickets available. Jason buys 6 tickets and Heather buys three times as many as Jason bought. How many tickets are left to be sold?


Show your work

Answers

Answer:

There are 26 tickets left to be sold.

Step-by-step explanation:

Jason - 6 tickets

Heather - 6(3) = 18 tickets

6+18 = 24 tickets

50-24 = 26 tickets

Find the perimeter of the window to the nearest hundredth perimeter: about ft

Answers

Answer:

I would answer but I have no numbers to give the answer

Johnny wants to buy a lottery ticket, so he decides on the ones that give him a 1 in 3 chance of winning! If Johnny buys 15 lottery tickets, how many times would you expect him to win?

Answers

Answer:

5 or less chances.

Step-by-step explanation:

well because if he buys 15, 1 in 3 chance tickets, the highest amount of times he would win would  be 5 because 15 is the chances of winning multiplied by the tickets he could win.

Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4

Answers

Answer:

y-y1=m(x-x1)

y-1/3=3/4(x-4)

y=3/4x-8/3

I need help with math 2 on gradpoint I’ll literally pay anyone because I need the class to graduate.

Answers

hey there, i might be interested in this deal. how much will i be getting paid?
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