HELP PLEASE!!
Write a recursive rule for an=1/3•4^n-1

A.) an=1/3•an-1
B.) an=4•1/3an-1
C.) an=1/3•4an-1
D.) an=4•an-1

Answers

Answer 1

Answer:

D.) an = 4 * an-1

Step-by-step explanation:

a(n) = (1/3) * 4^(n-1)

a(n-1) = (1/3) * 4^(n-1-1) = (1/3) * 4^(n-2)

Thus,

a(n) = (1/3) * 4 * 4^(n-2) = 4 * [(1/3) * 4^(n-2)] = 4 * a(n-1), so that

a(n) = 4 * a(n-1).


Related Questions

Which of the following is a Platonic solid?
A torus
B. sphere
C. tetrahedron
D. cylinder

Answers

Answer:

c. tetrahedron

Step-by-step explanation:

an algebraic expression that represents the product of r cubed and one hundred seven.

Answers

Answer:

107r³

Step-by-step explanation:

What is the greatest amount of trips that Edwin can take up the mountain and still pay less than Rhea? Explain how you arrived at your answer.
n>12

Answers

45+5.25n>108

-45 -45

5.25n > 63

then divide both sides by 5.25

n>12


What is the domain of the relation {(0,4), (4,9), (5,2), (10,4)}
a. 0, 2, 9, 10
b. 0, 2, 4, 10
c. 0, 4, 9, 10
d. 0, 4, 5, 10

Answers

Answer:

The domain is the set of all the values of x .

The range is the set of all the values of y.

Domain:

{0,4,5,10}

Range:

{4,9,2}

Step-by-step explanation:

your answer is is from an algebra solver called mathwey but an a instead of  an e it solves everything i promise i use it all the time

The graph shows the relationship between the distance a truck can travel and the amount of gasoline used.



What is the unit rate for the distance traveled to the amount of gasoline used?

Enter your answer in the box.

{?} mpg

Answers

9514 1404 393

Answer:

  7 mpg

Step-by-step explanation:

The equation shown on the graph tells you the unit rate is 7. (The unit rate is the coefficient of x.)

The truck travels 7 miles per gallon of gas.

Help me with this pls!!!

Answers

I believe it would be 2.50!

What is the value of s?

Answers

Step-by-step explanation:

it is given r=s

then, t =100.

2s+t=180°

2s=180-100

2s=80°

s=40° = r

hope this helps you.

show work
please! this is due tmr

Answers

Answer:

-120

Step-by-step explanation:

subtract 45 to both sides

m/8 = -15

multiply by 8 on both sides.

with the fraction just multiply by the bottom number to make m by itself.

m = -15*8

m= -120

Answer:

-120

Step-by-step explanation:

30-45= -15

-15×8= -120

i will give brainliest please help
Please help. Point M is the mid-point of PQ. The coordinates of P and M are given below. M (5, -2) and P (11, -10) Based on the information given, what is the coordinates of Q?

Answers

Answer:

Q(-1 , 6)

Step-by-step explanation:

Midpoint M(5 , -2)

[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\P(11 , -10) \ ; x_{1} = 11 \ & \ y_{1}=-10\\\\\left(\dfrac{11+x_{2}}{2},\dfrac{-10+y_{2}}{2}\right)= \left( 5 , -2 \right )\\\\\dfrac{11+x_{2}}{2}=5 \ ; \dfrac{-10+y_{2}}{2}=-2[/tex]

11 + x₂ = 10         ;  -10 + y₂ = -4

      x₂ = 10 - 11   ;      y₂ = - 4 + 10

      x₂ = -1          ;       y₂ = 6

Q(-1 , 6)

the coordinates of point Q is (-1,6)

Jayla reads 35% of her book over 7 days. If Jayla reads the same number of pages each night, how many more days will it take her to finish her book?

Answers

Answer:

13 days

Step-by-step explanation:

Amount of book left = 100% - 35% = 65%

If 35% requires 7 days,

65% requires x days.

Using the 'cross the heart' or 'cross multiplication' method:

35x = 7 * 65

x = (7 * 65)/35

= 455/35

= 13

Hence, it would take 13 more days to complete the book.

Hope this helps and be sure to have a great time ahead at Brainly! :D

I need the equation and the answer please it’s due tonight

Answers

Answer:

The answer is 27.15

this is your equation to your answer step by step

4.40+ 3.25=

7.65

7.65+3.25=10.9

10.9+3.25=14.15

14.5+3.25=17.4

17.4+3.25=20.65

20.65+3.25=23.9

23.9+3.25=

A student’s parents invested $5,000 in q college savings account that pays 4.85% annual simple interest. No additional deposits or withdrawals will be made.

Which amount is closes to the interest earned on the account at the end of 15 years?

A. $5,174.11
B. $10,174.11
C. $3,637.50
D. $8,637.50

Answers

Answer: A

Step-by-step explanation: The student gathers an extra 5,174.11 with the interest.

The amount close to the interest earned on the account at the end of 15 years will be $3,637.50. Then the correct option is C.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

A student’s parents invested $5,000 in q college savings account that pays 4.85% annual simple interest. No additional deposits or withdrawals will be made.

The amount close to the interest earned on the account at the end of 15 years is given as,

I = ($5,000 x 4.85 x 15) / 100

I = $3,637.50

The amount close to the interest earned on the account at the end of 15 years will be $3,637.50. Then the correct option is C.

More about the simple interest link is given below.

https://brainly.com/question/2793278

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Solve the math problem

Answers

Answer: Slopes

Step-by-step explanation:

1. slope is [tex]\frac{4}{3}[/tex]

2. slope is [tex]\frac{1}{2}[/tex]

3. Slope is [tex]\frac{4}{2}[/tex] or 2

4. slope is [tex]\frac{3}{2}[/tex]

in a toy store, the ratio of action figures to teddy bears 6 to 2. if the store has 320 total toys, how many teddy bears are there in the store?

Answers

6:2
3:1
18:6
24:8
240:80

There are 80 teddy bears

5.) Dynasti works in a department store selling clothes. She makes a guaranteed salary of
$1250 per week and is paid a commission of 15% of her sales. Write an equation to model the
situation
How much money will Dynasti make if she sells $4,000 worth of clothing?

Answers

Answer: y = .15x + 1250

y = weekly salary

x = sales

Step-by-step explanation:

Use either direct or synthetic substitution to evaluate the following:
f(x)=2x2-3x2+2x-5 for f(3).

Answers

The answer for that question is -22

I will give Brainliest to the first person

Answers

Answer:

x^3

Step-by-step explanation:

Which of the following will you construct in this lesson?
parallelogram
hexagon
pentagon
octagon
rectangle

Answers

Answer:

parallelogram

hexagon  

octagon

rectangle

Step-by-step explanation:

Answer:

parallelogram

hexagon  

octagon

rectangle

order the numbers from least to greatest

Answers

Answer:

-7/3 < -3/4 < 0.5 < 2/3 < 1.2

Step-by-step explanation: Heres your answer. Sorry if its wrong.

Find the next three terms of the arithmetic sequence.

-14, -19, -24, . . .

Answers

Answer:

-29, -34, -39

Step-by-step explanation:

the numbers are going down by five each time.

-24-5=-29

-29-5=-34

-34-5=-39

Hope this helps!

Answer:

-29

Step-by-step explanation:

because -14 and -19 is minus 5

3. Due to leakage, 30% of the water was lost from a water tank. If
only 340 liters of water is left in the tank now, find the total
capacity of the water tank?
HELPP

Answers

Answer:

1133.3 liters of water after leakage.

Step-by-step explanation:

x*.30=340

x=340/.30

x=1133.33

The total capacity of the water tank is 1133.33 liters of water after leakage.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have given Due to leakage, 30% of the water was lost from a water tank. If only 340 liters of water is left in the tank now, then we need to find the total capacity of the water tank.

x*.30 = 340

x = 340/.30

x = 1133.33

Hence, the total capacity of the water tank is 1133.33

Learn more about the unitary method;

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Nick has $50. He just got a job as a construction worker making $10 an hour. He wants to earn enough money to buy himself a new cell phone, valued at $900. If x represents the number of hour he works, write an inequality to represent this situation. What is the minimum number of hours must he work to buy the phone?

Answers

Answer:

900[tex]\geq[/tex]50+10x; At least 85 hours

Step-by-step explanation:

Nick must make at least 900 dollars, so the amount he has + earns must be greater than or equal to 900 in order to walk out of the store with it.

50 is the amount that Nick already has, and add that to 10x, which gives $10 for every x hour.

To solve, subtract 50 from each side.

850[tex]\geq[/tex]10x

Divide by 10 to solve for x:

85[tex]\geq[/tex]x

Nick must work at least 85 hours.

In the diagram below, angle PNO is congruent to angle PQR. RO = 7.1, PQ = 11.1, and PR= 8.9. Find the length of QN. Round your answer to the nearest tenth if necessary. ​

Answers

Answer:

8.9

Step-by-step explanation:

7.1/8.9=Qn/11.1

QN = 8.9

{ Parallel lines divide in proportion to their segments }

The solution is 8.9

The length of the side of the triangle PNO is QN = 8.9

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔPNO

Let the second triangle be ΔPQR

Now , ΔPNO ≅  ΔPQR

And , The corresponding sides of similar triangles are in the same ratio

So , substituting the values in the equation , we get

RO / PR = QN / PQ

On simplifying the equation , we get

7.1 / 8.9 = QN / 11.1

Multiplying both sides of the equation by 11.1 , we get

QN = ( 7.1 x 11.1 ) / 8.9

The value of QN will be

QN = 8.85

Rounding the value of QN to the nearest tenth , we get

QN = 8.9

Therefore , the value of QN is 8.9

Hence , The length of the side of the triangle PNO is QN = 8.9

To learn more about similar triangles click :

https://brainly.com/question/29378183

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guys pls help me!!!!!!

Answers

Answer:

56 degrees

Step-by-step explanation:

Answer:

X 56 Y 56

Step-by-step explanation:

because 180-124=56

Find the slope of the line that passes through (19, -9) and (70, 68).

Simplify your answer and write it as a proper fraction, improper fraction, or integer. Quick please

Answers

Answer:

The slope of the line would be 77/51 or 1.5098 if you convert it.

Step-by-step explanation:

Slope is rise over run so you find the difference between the Ys which is 77 and that's your rise so it's the top. You then find the difference btween the Xs and its 51 and that's your run so it's the bottom.

A motorcycle can go 75 miles using one gallon of gas. About how many gallons of gas will be used to go 200 kilometers?
(Note: 1 mile is approximately 1.6 kilometers.)
Group of answer choices

A. 1 gallon

B. 2 gallons

C. 3 gallons

D. 4 gallons

Answers

Answer:

option d

hope it will help u

Answer:

I think its 2 gallons I'm soooo sorry i got it wrong

Please answer this question it would make my day and I’ll give brainliest! it’s a math homework question Im stuck on):

Answers

Answer:

Step-by-step explanation:

It is actually fairly simple; just multiple the percentage by the total students, 10.

Cat, Dog: 10% of 10 is 1.

Cat, No Dog: 30% of 10 is 3.

Cat Total: 1+3 = 4.

No Cat, Dog: 40% of 10 is 4.

No Cat, No Dog: 20% of 10 is 2.

No Cat Total: 4+2 = 6.

Dog Total: 4+1 = 5.

No Dog Total: 3+2 = 5.

Solve: 6x + 9 - x = 3x + 9 + x

A) One solution

B) Infinite solution

C) No solution

Answers

Answer:

A one solution

Step-by-step explanation:

need help on proportions question urgently!!!!!!

Answers

Answer:

SSS~

RQP

Step-by-step explanation:

36/15 = 2.4

48/20 = 2.4

72/30 = 2.4

Triangles are similar by SSS~.

triangle JKL is similar to triangle RQP

Write the converse of the conditional statement below.

If angle 2 and angle 3 are vertical angles, then angle 2 is congruent to angle 3.

Answers

If angle 2 is congruent to angle 3, then angle 2 and angle 3 are vertical angles
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