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

Need help please!! :)

Answers

Answer:

[tex]A: (-3,1)[/tex]

[tex]B:(-1,-1)[/tex]

[tex]d=\sqrt{(-3-(-1)^{2} +(-1(-1))^{2} }[/tex]

[tex]=\sqrt{(-2)^{2}+(2)^{2} }[/tex]

[tex]=\sqrt{4+4}=\sqrt{8}[/tex]

[tex]=2\sqrt{2} =2.8[/tex]

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

hope it helps..

have a great day sis ^_^!!!

Answer:

Coordinates of :-

A= (-3,1)

B= (-1,-1)

Distance AB= [tex]\sqrt{-2+3)^{2}+(-1-1)^{2} }[/tex]

[tex]\sqrt{(2)^{2} +(-2)^{2} }[/tex][tex]=\sqrt{4+4}[/tex][tex]=\sqrt{8}[/tex][tex]=2.8[/tex]

OAmalOHopeO

6th grade math help me please

Answers

Answer: £1.18

Step-by-step explanation: 9.44/8 = 1.18

2) If a = 6 feet and b = 8 feet, what is the measure of c?
6 feet
8 feet
10 feet
14 feet

Answers

An attachment would help. Assuming this is the Pythagorean theorem, c would be 10 feet. (6)^2 + (8)^2 = 100 -----> √100 = 10

Helpppppppp meeeeeeeeeeeeee

Answers

Answer:

18

Step-by-step explanation:

(23+7²)= 23+7×7=72

72÷2²= 18

Ellie made an octagon and used a ruler so each side is the same length. Her octagon has a perimeter of 80 inches. What is the length of each side? ___ (your answer) inches

Answers

Answer:

Each side is 10 inches because the perimeter is 80 inches, you will have to divide 80 by 8 because octagon is a shape with 8 sides. So 80 divided by 8 is 10..... So the answeer is 10 inches.

Step-by-step explanation:

80÷8=10

brainliest!!!!?

PLEASE HELP FINDING TRIANGLE ANGLE

Answers

Answer:

x = 146

Step-by-step explanation:

The exterior angle of the triangle is equal to the sum of the opposite interior angles

x = 48+98

x = 146

Answer:

The sum of all the angles in a triangle is 180 degrees,

We know the measures of two angles, 48 and 98

if we add those and then subtract their sum from 180, we can find the third angle which will help us find the exterior angle x

48+98=146

180-146 = 34

now, we have to do 180-34 to find the measure of x.

why? any straight line is 180 degrees.

180-34 = 146

x = 146

hope this is correct and it helps you.

To earn a bonus in a video game, you must find at least 60% of the hidden gems. You find 25 out of 40 gems. Do you get the bonus? Explain.

Answers

You do get the bonus

Explanation:
If 40 is 100%
Then to find the percentage of 25 out of 40
You divide 25/40=0.625
Move the decimal to the right twice is 62.5%

If a value started at 1000, Increased 7 times, and ended at 12000, how much did the value increase each time?

Answers

Answer:

the value of increase each time is 1,571.43

Step-by-step explanation:

Given;

original value of the number, A = 1000

final value of the number, N = 12,000

Assuming the number increased equally each time, let the value of increase each time = x

The following linear equation will be obtained to solve for x;

7x + 1000 = 12,000

7x = 12,000 - 1,000

7x = 11,000

x = 11,000/7

x = 1,571.43

Therefore, the value of increase each time is 1,571.43

Write the inverse of the given conditional statement

Answers

Answer:

If I live in South Carolina then I live in Charleston

Step-by-step explanation:

Just switch them

Question Progress
Homework Progress
136 / 283 Marks
d
+ 2
- +
Make d the subject of the formula h: h=d/3+2

Answers

Answer:

d = 3h - 6

Step-by-step explanation:

Given

h = [tex]\frac{d}{3}[/tex] + 2 ( subtract 2 from both sides )

h - 2 = [tex]\frac{d}{3}[/tex] ( multiply both sides by 3 )

3(h - 2) = d , that is

d = 3h - 6

1 Find the slope of a line which passes through the points P(-3, 2) and Q(1, 5)

Answers

Answer:

3/4

Step-by-step explanation:

We can use the slope formula when given two points

m = ( y2-y1)/(x2-x1)

    = ( 5-2)/(1 - -3)

    = (5-2)/(1+3)

    = 3/4

can someone help please...

Answers

Answer:

the answer is median (b)

Simplify the expression:
-7(4-5)

Answers

Answer:

=-28+35 =7 is the answer

PLZ HELP SOMEBODY Given the following triangle with the indicated height and base. Write and simplify an expression for the area of the triangle. Justify your answer with the appropriate formulas and calculations. Find a value of that is less than 6 for which the base, height, and area of the triangle are all positive.

Answers

Answer:

Step-by-step explanation:

h × b × [tex]\frac{1}{2}[/tex] = A   (this is the formula)

2 × 3 × [tex]\frac{1}{2}[/tex] =  3m²

I believe you forgot to mention some information...but hope this helps...

If a square table can fit 8 people and a round table can fit 6 people, the equation 150= 8x + 6y , if Y =9 what is the value of x ? The committee needs how many square tables?

Answers

Answer:

The committee needs 12 square tables!

Step-by-step explanation:

[tex]8x+6y=150[/tex]

[tex]y=9[/tex]

[tex]8x+6(9)=150[/tex]

[tex]8x+54=150[/tex]

      [tex]-54[/tex]     [tex]-54[/tex]

[tex]8x=96[/tex]

[tex]/8[/tex]      [tex]/8[/tex]

[tex]x=12[/tex]

Hope this helps!


ZEFG and ZGFH are a linear pair, mZEFG = 3n+ 21, and mZGFH = 2n + 34. What are mZEFG and mZGFH?

Answers

Answer:

The answer is below

Step-by-step explanation:

∠EFG and ∠GFH are a linear pair, m∠EFG = 3n+ 21, and m∠GFH = 2n + 34. What are m∠EFG and m∠GFH?

Solution:

Two angles are said to form a linear pair if they share a base. Linear pair angles are adjacent angles formed along a line as a result of the intersection of two lines. Linear pairs are always supplementary (that is they add up to 180°).

m∠EFG = 3n + 21, m∠GFH = 2n + 34. Both angles form linear pairs, hence:

m∠EFG + m∠GFH = 180°

3n + 21 + (2n + 34) = 180

3n + 2n + 21 + 34 = 180

5n + 55 = 180

5n = 125

n = 25

Therefore, m∠EFG = 3(25) + 21 = 96°, m∠GFH = 2(25) + 34 = 84°

Zzzzzzzhelpzzzz zzzzzzzz

Answers

the answers are A and D hope this helped

A and D am I to late?!

What is the range of this set of data?

Answers

Answer: B)  [tex]0 \le y \le 100[/tex]

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

Explanation:

The range is the set of possible y outputs. Visually, we look for the highest and lowest points to determine that range of y values. The lowest point occurs when y = 0, which is the left-most point of the graph. The highest point is when y = 100 where the peak is.

So we say that y is between 0 and 100, including both endpoints to lead to the inequality [tex]0 \le y \le 100[/tex]

The range in interval notation is [0, 100]. The square brackets say to include the endpoints.

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

Side note: The domain appears to be [tex]2.5 \le x \le 9.5[/tex] since the left-most point seems to have the x coordinate x = 2.5 and the right-most point seems to have the x coordinate x = 9.5. The domain is the set of all possible x inputs. So if your teacher was asking about the domain, then the answer would be C.

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 9 feet. Container B has a diameter of 10 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?

Answers

Answer:

11.8 % empty

Step-by-step explanation:

volume of cylinder : pi × r² × h

attention ! the question gives us diameter, so for radius we need to cut them in half.

Va = pi × (14/2)² × 9 = pi×49×9 = 1385.44236... ft³

Vb = pi × (10/2)² × 20 = pi×25×20 = 1570.79633... ft³

after filling B with everything in A there is still some empty volume in B

Vb empty = Vb - Va = 185.35397... ft³

so,

100% Vb = 1570.79633... ft³

1% Vb = 15.7079633... ft³

so, how often does 1% of the total volume of B fit into the remaining empty volume of B ?

185.35397... / 15.7079633... = 11.8%

Triangle ABC is reflected across the line y= x. What are the coordinates of the vertex B'of the resulting triangle a'b'c?

Answers

the answer is 2,-5, you’re just flipping the coordinates around

The volume of the cylinder

Answers

Answer:

15550.88

Step-by-step explanation:

the formula for the volume of a cylinder is πr^2(h), so plug in height and radius, and you have the answer.

Answer:

15550.88

Step-by-step explanation:

You use πr^2 h

The perimeter of a regular hexagon is 18 m. How long is each side? for 15 points

(a normal hexagon normally has 5 sides and they are all the same length )
o 3 m
o 4 m
o 2 m
o 5 m
PICK ONE!

Answers

Answer:

3 m

Step-by-step explanation:

A hexagon has six sides.

3m x 6 = 18 m

The answer is a. 3m

Explanation: because I know its right

Given the similar triangles at the left, write a similarity statement.

HELP IS NEEDED!!!!! PLEASE HELP ME ASAPPP!!!

Answers

Answer:

∆ABC~=∆PQR

Angle BAC=QPR

Find k if (x+1) 2x^3+kx^2+1

Answers

Question:

Find k if (x+1) is a factor of 2x³ + kx² + 1

Answer:

k = 1

Step-by-step explanation:

The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.

This is because;

i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.

ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e

=> (-3)² - 9

=> (9) - 9 = 0

Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.

From the question

Given polynomial: 2x³ + kx² + 1

Given factor: x + 1.

Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e

2(-1)³ + k(-1)² + 1 = 0

2(-1) + k(1) + 1 = 0

-2 + k + 1 = 0

k - 1 = 0

k = 1

Therefore the value of k is 1.

Can someone help me

Answers

Answer:

m∠W = 134

Step-by-step explanation:

JGN is congruent to AIW and the names of the triangles are both in the same order. That may sound confusing but this means that:

J = A

G = I

N = W

So, if angle N is 134 then angle W is the same.

how to solve!? help pls I’ll give brainliest :))

Answers

Let me know if anything's unclear

A ​$108,000 down payment would be? of the purchase price.

Answers

Answer: 10.8%

Step-by-step explanation:

The question is asking what the percentage of the down payment is of the purchase price of the house.

For such a question, the purchase price needs to be known.

We shall therefore assume a purchase price and you can use the process to find out your percentage.

Assume the purchase price is $1,000,000.

The percentage would be:

= Down payment / Purchase price * 100%

= 108,000 / 1,000,000

= 10.8%

Answer:

10.8%

Step-by-step explanation:

see above

Find the side length for the missing side length of 12) and 13). And solve for x on 14) and 15)

Answers

Answer:

12) A

the values are each devided by three then multiplied by 4

13) C

values are 4 times as big as in the right figure

14) and 15) two thirds of the value in the left figure. the rotation is just to disorient you a lil :D just keep the 90° angle as a reference point

x is option A

and y is option C

If y = 87.5, what is the value for x? 300x + 300 x plus StartFraction 500 over 7 EndFraction y equals 10,000.Y = 10,000 300x + 300 x plus StartFraction 500 Over 7 EndFraction y equals 10,000.(87.5) = 10,000 300x + 6,250 = 10,000

Answers

Answer:

[tex]x =12.5[/tex]

Step-by-step explanation:

Given

[tex]300x + \frac{500}{7}y =10000[/tex]

[tex]y = 87.5[/tex]

Required

Find x

Substitute [tex]y = 87.5[/tex] in [tex]300x + \frac{500}{7}y =10000[/tex]

[tex]300x + \frac{500}{7}*87.5 =10000[/tex]

[tex]300x + 500*12.5 =10000[/tex]

[tex]300x + 6250=10000[/tex]

Collect like terms

[tex]300x =10000-6250[/tex]

[tex]300x =3750[/tex]

Divide by 300

[tex]x =12.5[/tex]

Answer:

12.5

Step-by-step explanation:

Solve the following word problems : 1. The sum of two consecutive numbers is 51, find them. ​

Answers

Answer:

25 and 26

Step-by-step explanation:

25+26=51

Hope this helps! :)

Answer and Step-by-step explanation:

We can represent the equation like this:

x + (x + 1) = 51, where x is a number and x + 1 is the consecutive number.

Solve for x.

Add the x's together.

2x + 1 = 51

Subtract 1 from both sides of the equation.

2x = 50

Divide 2 on both sides of the equation.

x = 25

So, the numbers are 25 and 26.

25 + 26 = 51

#teamtrees #PAW (Plant And Water)

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