Which recrusive formula can be used to generate the sequence shown, where f(1)=5 and n>=1 5,-1,-7,-13,-19

Answers

Answer 1

Answer:

a_n = 11 - 6n

Step-by-step explanation:

you can observe every next element is smaller then the previous one by 6  

a_n = 5 - 6*(n-1)

a_n = 5 - 6n + 6

a_n = 11 - 6n


Related Questions

A classroom has 14 boys and 18 girls. What is the ratio of boys to girls?

Answers

Answer:

7:9

Step-by-step explanation:

boys:girls

14:18

simplify -- divide by 2

7:9

Answer:

7:9

Step-by-step explanation:

so we start of with 14 boys to 18 girls, but we need to simplify it.

so we half both numbers to get to 7:9.

this is the most simplified form of this ratio.

the answer is 7:9

Bob is mailing packages. Each small package costs him $2.30 to send. Each large package costs him $2.80 . How much will it cost him to send 7 small packages and 1 large package?

Answers

Hi

2.30 for small and 2.80 for large .  

7 small + 1 large  :   7*2.30 +1*2.80 = 16.10 + 2.80 = 18.90

Answer:

2.30 for small and 2.80 for large .  

7 small + 1 large  :   7*2.30 +1*2.80 = 16.10 + 2.80 = 18.90

Step-by-step explanation:

I don't think this is correct plz check me

Answers

Answer:

The answer is the first one

Step-by-step explanation:

The cost of an adult ticket is $15

The price of an adult ticket is 1/2 the price of a student ticket plus $8

x is the cost of a student ticket, so

1/2(x) + $8 = $15

A laptop battery has 81% power after 1 hour of use and 24% after 4 hours use. What is the slope?

Answers

Answer:

Step-by-step explanation:

If A laptop battery has 81% power after 1 hour of use

It looses 19 % of its energy in one hour.

The difference between 81% and 24% is 57%

The slope of the line of rate of decrease of battery percentage is 19% per hour.

What is slope?

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is

y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or the rate of change is large.

We know slope(m) of a line = (y₂ - y₁)/(x₂ - x₁).

The problem can be constructed as having two points (1, 81) and (4, 24).

∴ Slope(m) = (24 - 81)/(4 - 1).

Slope(m) = - 57/3.

Slope(m) = - 19.

learn more about slope here :

https://brainly.com/question/3605446

#SPJ2

2.) Which expression has a value of -4?
A. (4) B. 1-41
C. 141
D.-141
3.) Which list of integers is in order from least to greatest?
A. -4,-7,0, 2
B. 0, 2, -4,-7
C-7, -4,0,2
D 2,0, -7,-4
I
4.) What is the value ofthe expression?
A -45 B. 19 C. 19
11+-24 + (-32)
D. 67
5.) Find the difference.
A. -47 B. -17
-32-(-15)
C. 17 D. 47
P

Answers

2.)a 3.)b 4.)a 5.)a
............

In the figure below, if the angle is right what is the value of x?

Answers

Answer:

x = 50

Step-by-step explanation:

Since the angle is right = 90°, then

40 + x = 90 ( subtract 40 from both sides )

x = 50

Answer:

[tex]\boxed{\sf x = 50\ degrees}[/tex]

Step-by-step explanation:

x = 90 - 40    [Complementary angles add up to 90 degrees]

x = 50 degrees

PLEASE HELP ASAP! Alayna is hanging a picture frame in the center of a wall that is 8 feet wide. If the picture frame is 22 1/4 inches wide, how far will each side of the picture frame be from the edge of the wall (in inches)? First, estimate the amount and then find the exact measurement. In two or more complete sentences, explain how you solved the problem. You may include a diagram in your explanation if you wish.

Answers

Answer:

See below.

Step-by-step explanation:

Approximation:

The wall is 8 ft wide.

The frame is 22 1/4 inches wide. 22 1/4 inches is close to 2 ft since 2 ft = 24 inches.

8 ft - 2 ft = 6 ft

There will be approximately 6 ft of space tot he sides of the frame.

6 ft/2 = 3 ft

3 ft * 12 in./ft = 36 in.

There will be approximately 36 in. on each side of the frame.

Exact:

8 ft - 22 1/4 in. = 8 * 12 in. - 22 1/4 in. =

= 96 in. - 22 1/4 in.

= 95 4/4 in. - 22 1/4 in.

= 73 3/4 in.

The total amount of width of the wall not occupied by the frame is 73 3/4 in.

Half of that amount is on each side of the frame.

(73 3/4 in.)/2 = (73 3/4 in.) * 1/2 = (73 * 1/2 + 3/4 * 1/2) in. =

= 36 1/2 in. + 3/8 in.

= 36 4/8 in. + 3/8 in.

= 36 + 7/8 in.

= 36 7/8 in.

HELP ME PLZ ANSWER PLZ​

Answers

Answer:

4 cm

Step-by-step explanation:

The volume (V) of milk in the container is

V = 8 × 5 × 12 = 480 cm³

The volume remains the same whatever the position of the container.

let d be the depth then

8 × 15 × d = 480

120d = 480 ( divide both sides by 120 )

d = 4 cm

find the area of quadrilateral ABCD.

Answers

The correct answer is B. 14.89 units squared.

Find the area of each triangle and add them together. Heron’s formula explains it better than me. Lol

Answer:

           14.89 units²

Step-by-step explanation:

[tex]P_{ABCD}=P_{ACD}+P_{ABD}[/tex]

We can use Heron's formula to calculate area of triangles:

[tex]P_\triangle=\sqrt{s(s-a)(s-b)(s-c)}[/tex]   where:

a, b, c  - sides of triangle

s  - semi-perimetr of triangle  {(a+b+c):2}

ΔACD:

a = 4.39 ,   b = 3.42  ,  c = 4.57

s = (4.39 + 3.42 + 4.57)÷2 = 12.38÷2 = 6.19

[tex]P_{ACD}=\sqrt{6.19(6.19-4.39)(6.19-3.42)(6.19-4.57)}\\\\P_{ACD}=\sqrt{6.19\cdot1.8\cdot2.77\cdot1.62}=\sqrt{49.9986108}=7.070969579...\\\\P_{ACD}\approx7.071[/tex]

ΔACD:

a = 5.44 ,   b = 7.84 ,   c = 3.42

s = (5.44 + 7.84 + 3.42)÷2 = 16.7÷2 = [tex]P_{ACD}=\sqrt{8.35(8.35-5.44)(8.35-7.84)(8.35-3.42)}\\\\P_{ACD}=\sqrt{8.35\cdot2.91\cdot0.51\cdot4,93}=\sqrt{61.09371855}=7.81624708...\\\\P_{ACD}\approx7.816[/tex]

[tex]P_{ABCD}=P_{ACD}+P_{ABD}\\\\P_{ABCD}\approx7.071+7.816 = 14.887\\\\P_{ABCD}\approx 14.89[/tex]

What is the solution to 7 × p = -56? A. -49 B. -8 C. 8 D. 49

Answers

Answer:

-8

Step-by-step explanation:

Hello!

What we do to one side of the equation we do to the other side

7 * p = -56

Divide both sides by 7

p = -8

The answer is -8

Hope this helps!

what is the value of 600.79-40.0032+5.01 to the nearest Hundredths​

Answers

Answer:

565.80

Step-by-step explanation:

600.79-40.0032+5.01 =  565.7968

565.7968 to the nearest Hundredths​ =

565.80

Answer:

565.80

Step-by-step explanation:

600.79 - 40.0032 + 5.01

600.79 - 40.0032 = 560.7868

560.7868 + 5.01 = 565.7968

565.7968 to the nearest hundredth = 565.80

I Need help again! Given the following Venn diagram, choose the correct set for M n N

Answers

Answer:

{2, 3, 5, 6, 8, 9}

Step-by-step explanation:

The universal set is

U = {2, 3, 4, 5, 6, 7, 8, 9}

M = {3, 4, 7, 9}

N = {4, 6, 7}

M n N = {4, 7}

The bar above M n N means the complement of M n N which is all elements of the universal set that are not in M n N.

Answer: {2, 3, 5, 6, 8, 9}

- X, what is the value of (f - g)(2)?

Answers

Answer:

2

Step-by-step explanation:

because ther is in the picture

Which property can you use to show that 3x + (2x + 4) is equivalent to (3x + 2x) + 47

Answers

Answer:

Associative Property

Step-by-step explanation:

Use the image to answer the question. What notes do you see? a. quarter and eighth notes b. whole and quarter notes c. eighth and sixteenth notes d. quarter and sixteenth notes help me please, ty

Answers

Answer:

a. quarter and eighth notes is the best option

Step-by-step explanation:

you can get help from this attachment

hope it will help you :)

14. A plane traveled from California and back. It took one hour longer on the way out than it did on the way back. The plane's average
speed out was 300 mph. The average speed on the way back was 350 mph. How many hours did the trip out take?
A. 13 hours
B. 8 hours
C. 7 hours
D. 6 hours

Answers

Answer:

  C.  7 hours

Step-by-step explanation:

Let the time for the trip out be represented by t. Then the time for the return trip is t-1. The distance was the same for both trips, so we have ...

  distance = speed × time

  300t = 350(t -1)

  300t = 350t -350 . . . . eliminate parentheses

  350 = 50t . . . . . . . . . . add 350-300t

  7 = t . . . . . . divide by 50

The trip out took 7 hours.

SAVINGS ACCOUNT Demetrius deposits $120 into his account. One week later, he withdraws $36. Write an addition expression to represent this situation. How much higher or lower is the amount in his account after these two transactions?

Answers

Answer:

+$120 - $36

Higher by $84

Step-by-step explanation:

Addition expression is an equation without the equals to sign

$120 - $36

When the first expression was made, the account was higher by $120

After the second transaction, the account would be higher by $120 - $36 = $84

The number of students at a school decreased 20% from 2010 to 2011. If the number of
students enrolled in 2011 was k, which of the following expresses the number of students enrolled in 2010
in terms of k?
A) 0.75k
B) 1.20%
C) 1.25K
D) 1.5k​

Answers

Answer:

C

Step-by-step explanation:

Okay, here we have a reduction in the number of students by 20% from 2010 to 2011.

In 2011, we had k students, so we want to calculate the number of students we had in 2010.

Let the number of students present in 2010 be x

So mathematically;

x - 20% of x = k

x - 0.2(x) = k

0.8x = k

x = k/0.8

x = k * 1/0.8

x = k * 1.25

x = 1.25k

The solutions to (x + 3)^2- 4=0 are x = -1 and x = -5

True or false

Answers

Answer:

THE ANSWER WOULD BE TRUE MY FRIEND

help plz I think the first one is correct but I'm not sure

Answers

Answer: You are correct.

The left side 10x+25 is the cost expression for Black Diamond, while the right hand side 5x+50 is for Bunny Hill. The x is the number of hours.

Nathan, a tutor, buys 5 calculators for $7.50 each at a store, planning to provide one to each of his clients. However, the next day, he discovers that the same calculators has gone on sale for $5.00 and also discovers that he will only have three tutoring clients instead of five. He returns the five calculators and purchases three calculators at the new sale price. He uses the following expression to determine the amount he should receive back from the store. (5 x $7.50) - (3 x $5.00) Which of the following expressions could Nathan have used. 5 ($7.50 - $5.00). $7.50 - $5.00. (5 x $7.50) - $5.00. (5 x $7.50) - $5.00. 3 ($7.50 - $5.00) +2 x $7.50

Answers

Answer: 5 (7.50-3 )

Step-by-step explanation:

Given: Previous price of calculator = $7.50

Number of client =5

Total price = (Number of calculators) x (Price for each calculator)

Total price of 5 calculators = (5 x $7.50)

New price of calculator = $5.00

Number of client =3

Total price of 3 calculators  = (3 x $5)

Price will receive = (Total price of 5 calculators) -(Total price of 3 calculators  )

= (5 x $7.50) -  (3 x $5)

= 5 (7.50-3 )

Required expression: 5 (7.50-3 )

Waldnice!
8. I have a maximum/minimum thermometer in my greenhouse. It records the highest and
lowest temperatures reached since the time I reset it. I reset it on Sunday when the
temperature was 4°C. Overnight the temperature fell by 5°C. Then during Monday it rose by
6°C. before falling by 10°C during the night. On Tuesday it rose by 4°C and fell by 2°C
overnight.
What were the maximum and minimum temperatures recorded when I looked at the
thermometer on Wednesday morning?

Answers

Answer:

The maximum and minimum temperatures recorded by the thermometer when checked by Wednesday morning are 5°C and -5°C

Step-by-step explanation:

The given parameters are;

A maximum and minimum thermometer is used which records maximum and minimum values as follows;

Initial temperature on Sunday at the time of resetting the thermometer = 4°C

Temperature drop overnight = 5°C, new low = 4 - 5 =  -1°C,

Temperature rise on Monday = 6°C. New high = -1 + 6 = 5°C

Temperature drop on Monday night = 10°C. New low = 5 - 10 = -5°C

Temperature rise on Tuesday = 4°C = New high = 4 + - 5 = -1°C

Temperature drop on Tuesday night = 2°C. New low = -1 - 2 = -3°C

Therefore, the maximum and minimum temperatures recorded by the thermometer when checked by Wednesday morning are 5°C and -5°C.

Multiply negative 1 over 3 multiplied by 1 over 4. Which of the following is correct? negative 1 over 3 negative 1 over 4 negative 1 over 7 negative 1 over 12

Answers

Answer:

-1/12

Step-by-step explanation:

-1/3 * 1/4

Multiply the numerators

-1 *1 = -1

Multiply the denominators

3 *4 =12

numerator over denominator

-1/12

Answer:

the answer is [tex]\frac{-1}{12} \\[/tex]

Step-by-step explanation:

[tex]\frac{1}{3} x \frac{1}{4}[/tex]

3x4= 12 is now the denominator

                       and

the numerator stays the same because -1x1=-1

so there for the answer is [tex]\frac{-1}{12}[/tex]

hope this helped you  ^.^ happy holiday

Which of the following options have the same value as 75\%75%75, percent of 969696?

Answers

Answer:

90

Step-by-step explanation:

What is the product? Two-thirds times eight-ninths

10/27
16/27
Two-thirds
Five-sixths

Answers

Answer:

16/27

[tex]\frac{2}{3}[/tex] × [tex]\frac{8}{9}[/tex] = [tex]\frac{16}{27}[/tex]

Exponential form of 81/625

Answers

Step-by-step explanation:

Hey, there!!

you number is: 81/625

We know that,

81=9×9

and

625=25×25

and............................................................

9×9 means 9^2

and 25×25 means 25^2

so, the exponential form of the question is,

=[tex] \frac{ {9}^{2} }{ {25}^{2} } [/tex]

{we simply find exponential form by finding their fraction}

Hope it helps...

Howard earns $46 for every 2 hours of work. What is the constant of proportionality in the scenario?

Answers

Answer:

23

Step-by-step explanation:

Take the amount of money and divide by the hour

46/2 = 23

23 dollars for every hour

The constant of proportionality is 23

Which sets of points represent one-to-one functions?
-
f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7), (7,8), (8,8)}
-
g = {(1,2), (3,3), (5,4), (7,4), (9,4), (11,4), (13,4), (17,4)}
-
h = {(1,6), (2,3), (3,16), (4,21), (5,27), (6,36), (7,48), (8,56)}
-
i = {(0,1), (1,3), (3,5), (5,3), (7,4), (9,6), (11,9), (13,10)}
-
j = {(2,6), (4,16), (6,26), (8,36), (10,16), (12,56), (14,66), (16,16)}
-
k = {(2,6), (4,16), (6,26), (8,36), (10,46), (12,56), (14,66), (16,76)}

Answers

Two Answers: Function h (third choice)Function k (sixth choice, or last choice)

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

Explanation:

A function is only possible if the x values do not repeat. A relation is considered one-to-one only if the y values do not repeat. We combine the two ideas. If we want a one-to-one function, then neither x nor y can repeat.

Function f has y = 8 repeating, so it is not one-to-oneFunction g is a similar story but y = 4 repeats.Function h has all unique x values, and all unique y values. This function is one-to-one.Function i has y = 3 repeating, so it is not one-to-one.Function j has y = 16 show up more than once, so it is not one-to-one.Function k has all unique x values, and all unique y values. This function is one-to-one.

Note: if we had two points like (1,2) and (3,1), then it is still one-to-one (even though the digit 1 shows up twice). This is because the set of x values {1,3} is unique, and so is the set of y values {2,1}. We look at each set separately and not combine the two sets.

Answer:

H = {(1,6), (2,3), (3,16), (4,21), (5,27), (6,36), (7,48), (8,56)}

K = {(2,6), (4,16), (6,26), (8,36), (10,46), (12,56), (14,66), (16,76)}

explanation: PLATO/EDMENTUM

Please help!! Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 32 feet. The distance between the birdwatcher and the second bird is 45 feet. What is the angle measure, or angle of depression, between this bird and the birdwatcher? Round your answer to the nearest tenth. 35.4° 44.7° 45.3° 54.6°

Answers

Answer:

45.3°

Step-by-step explanation:

A right triangle is formed given the information above.

Angle of depression = x°

Distance between first bird and birdwatcher = opposite to angle x° = 32 ft

Distance between second bird and birdwatcher = hypotenuse of the right triangle formed = 45 ft

The trigonometric ratio formula to use is:

[tex] sin(x) = \frac{opp}{hypo} [/tex]

[tex] sin(x) = \frac{32}{45} [/tex]

[tex] sin(x) = 0.7111 [/tex]

[tex] x = sin^{-1}(0.7111) [/tex]

[tex] x = 45.3 [/tex] (nearest tenth)

Angle of depression = 45.3°

Answer:

45.3°

Step-by-step explanation:

Hope this helps :)

What is the solution to this system of equations? 2x + 3y = 7 and -4x - 6y = -2

Answers

Answer:

No Solution

Step-by-step explanation:

I used a graphing tool to graph the lines. When graphed, the lines are parallel, and they do not intercept at a point.

There is no solution to the system.

Answer:

Step-by-step explanation:

We will use the graphing method.

Graph the both equations. The intersection point coordinates are the solution of the system.

● 2x + 3y = 7

● -4x -6y = -2

The two lines are parallel. So the system has no real solution. If we tried solve it with calculations we will find an impossible result ( 12 = 0)

Other Questions
Try to get to every number from 1 to 10 using four 4's and any number of arithmetic operations (+, , , ). You may also you parentheses. Please answer quickly! A radio telescope has a parabolic surface, as shown below. A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 1 meter and its width from left to right is 20 meters. If the telescope is 1 m deep and 20 m wide, how far is the focus from the vertex? buildings / are / this / there / beautiful / town / some / in. Can you help me please. Simplify the expression 3-8x3-4 Identify whether each phrase is an expression, equation, or inequality.TermPhraseExpression3 - 53 =yInequality7-5 How to do this question plz answer my question step by step plzz plz plz plz plz -10y^2 - 3y - (5y - 8y^2) combined like terms Lindas Autoplex performs oil changes on automobiles, light trucks, and sport utility vehicles. She is a profit- maximizing business owner whose firm operates in a competitive market. The marginal cost of an oil change is $10. The marginal productivity of the last worker that Linda hired was 1.5 oil changes per hour. What is the maximum hourly wage that Linda was willing to pay the last worker hired? According to the following reaction, how many grams of ammonia will be formed upon the complete reaction of 31.2 grams of hydrogen gas with excess nitrogen gas ? nitrogen(g) + hydrogen(g) ammonia(g) What kinds of people actually read printed information on the packaging before purchasing a product? As part of a larger study on the influence of product packaging on purchase decisions, a survey of 250 citizens of Sarajevo asked if they observed printed information before purchasing a product (Poturak, 2014). Assume that the sample was a simple random one. Determine what type of decimal each is.8.54 What is the measure of angle X? Soil moisture that plants are capable of accessing and using is called Group of answer choices capillary water. Need help quick pls Mortgage loan originator Carol is in a hurry to leave on her vacation, and she leaves a customer's file that contains his Social Security number and bank account numbers on her desk. Carol's carelessness is violating what federal law Widgeon Co. manufactures three products: Bales, Tales, and Wales. The selling prices are $55, $78, and $32, respectively. The variable costs for each product are $20, $50, and $15, respectively. Each product must go through the same processing in a machine that is limited to 2,000 hours per month. Bales take 5 hours to process; Tales 7 hours; and Wales 1 hour. Assuming that Widgeon Co. can sell all of the products it can make, what is the maximum contribution margin it can earn per month? a. $56,000.b. $34,000.c. $49,000.d. $70,000. Please help!!! ***This is multiple choice! A study collects samples of water from the tap in Vacaville and from bottled water available from the Nugget stores and samples their pH levels. The results are in the table below. I find a bottle marked #13 but cannot read the label for the type of water. He measures the pH and gets 6.32. What type of water do you think it is? Ashley wants to increase the profits of her e-business. She recognizes that most online searchers click on links on the first search page, so she optimizes her website structure so that it ranks higher on a search. What strategy does this illustrate