Write an explicit formula for the recursive formula

A(n) = A(n - 1) + 3; A(1) = 6

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 3n + 3

Step-by-step explanation:

The sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

From the recursive formula

a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then

[tex]a_{n}[/tex] = 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3


Related Questions

help me please i am struggling to the very top

Answers

Answer:

x = 21 and both sides are 53 units long

Step-by-step explanation:

They are congruent, so they are equal, so

3x-10=x+32 then solve for x

2x=42

x=21

then plug x into each side to get its length

3x-10=3(21)-10=53

x+32=21+32=53

You would expect them to be the same since they are congruent

Brianna mixed 5 parts of orange juice and 2 parts of water to make a drink. How many parts of orange juice did Brianna mix with each part of water?

Answers

Answer:2 1/2

Step-by-step explanation:

Which could be the lengths of three sides of a triangle?
a. 10 ft, 10 ft, 21 ft
b. 19 ft, 11 ft, 3 ft
c. 18 ft, 8 ft, 10 ft
d. 12 ft, 25 ft, 35 ft
e. 4 ft, 4 ft, 8.4 ft

Answers

Answer:

I believe it is d

Step-by-step explanation:

it is the only option where every combination of two sides is larger than the third

Answer:

d

Step-by-step explanation:

if you add up 2 sides it is larger than the third, which is what we are looking for :))

I need help :( I forgot how to do this

Answers

Answer:

[tex]A=\frac{1}{2}h(b_{1}+b_{2} ) | *2\\2A=h(b_{1}+b_{2} ) | : (b_{1}+b_{2} )\\\frac{2A}{(b_{1}+b_{2} )} = h[/tex]

I hope it's good.

Take care !

3.) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.

Answers

Answer:

6.4

Step-by-step explanation:

5+7+7+5+7+7+6+7+7 = 58

There are 9 numbers

58 ÷ 9 = 6.444444

To the tenth = 6.4

Sorry for the spam, I just really need help.

Answers

13 is C and 14 is b

Jeffrey purchased a car for $180 that gives him 20 visits to a new gym and includes a one time fee for unlimited use of the sauna. After five visits, Jeff has $123.75 left on the card, and after 11 visits, he has $74.25 left on the card. Write an equation in point slope form, then determine the cost of each visit in the fee for the sauna use.

Answers

I think that its 9 dollars per a visit

can you answer number four please

Answers

Answer:

l = 104/3

w = 40/3

Step-by-step explanation:

l = 2*w + 8

P = 2(l + w) = 96

48 = l + w

2w + 8 + w = 48

3w = 40

w = 40/3

l = 2*40/3 + 8

= 80/3 + 8

= 80 + 24  / 3

= 104/3

What is the answer? I have looked and there is no question that is close to mine.

Answers

Answer:

Since there is a right angle, this is a right-angled triangle and we can solve for x using Pythagoras Theorem that goes [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse (longest side of the triangle).

In this case, x would be the c.

Substitute in values of a and b:

[tex]10^2+10^2=c^2[/tex]

[tex]c^2=200[/tex]

[tex]c=\sqrt{200}[/tex]

[tex]c=10\sqrt{2}[/tex] (Option A)

The data set represents the number of hours that fifteen students walked during a two-week period.

6 6 7 8 8 8 9 10 10 12 13 14 15 16 30

The median is 10 hours, Q1 is 8, Q3 is 14, and the IQR is 6 hours. Are there any outliers in the data? Explain or show your reasoning.

please help

Answers

Answer:

Yes, 30 would be your outlier.

Step-by-step explanation:

The rest of the numbers are closer and 30 is far away from the rest.

Keiko measures the circumference of three fruits.
Complete the table to show Keiko's measurements, the actual measurements, the
difference between the measurement and the actual, and the percent error.
CLEAR
CHECK
6 cm
81 cm
10%
50%
20%
10 cm
Apple
Grapefruit
Watermelon
15 cm
24 cm
Keiko's measurement
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
30 cm
Actual measurement
90 cm
5 cm
Absolute difference
DRAG AND DROP
AN ITEM HERE
9 cm
Percent error
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
no

Answers

The absolute measurement specifies the magnitude of the difference

which may be positive or negative.

The completed table is presented as follows;

[tex]\begin{tabular}{|l|c|c|c|}&\textbf{Apple}&\textbf{Grapefruit}&\textbf{Watermelon}\\\textbf{Keiko's measurement}&15 cm&24 cm& \underline{81 cm}\\\textbf{Actual measurement}&\underline{10 cm}&30 cm&90 cm\\\textbf{Absolute difference}&5 cm&\underline{6 cm}&9 cm\\\textbf{Percent error}&\underline{50\%}&\underline{20\%}&\underline{10\%}\end{array}\right][/tex]

Reasons:

The formulas for the inputs in the table are;

Absolute difference = Keiko's measurement - Actual measurement

The difference between Keiko's measurement and the actual measurement can be positive or negative while the absolute difference is always positive

[tex]\displaystyle Percent \ error = \mathbf{\frac{Keiko's \ measurement - Actual \ measurement}{Actual \ measurement} \times 100}[/tex]

Therefore;

[tex]\displaystyle Percent \ error = \frac{ \mathbf{Absolute \ difference}}{Actual \ measurement} \times 100[/tex]

Which gives for Apple;

The actual measurement for Apple = 15 cm - 5 cm = 10 cm

[tex]\displaystyle Percent \ error \ for \ Apple = \frac{5 \, cm}{10 \, cm} \times 100 = \mathbf{50\%}[/tex]

Grapefruit column of the table;

Absolute difference for Grapefruit = |24 cm - 30 cm| = |-6 cm| = 6 cm

The absolute difference for Grapefruit = 6 cm

[tex]\displaystyle Percent \ error \ for \ Grapefruit = \mathbf{\frac{6 \, cm}{30 \, cm} \times 100} = 20\%[/tex]

Percent error for Grapefruit = 20%

Watermelon column of the table;

Keiko's measurement = Absolute difference + Actual measurement

Using the given options, we have, 90 - 9 = 81

Therefore, the difference = -9, while the absolute difference = 9

Keiko's measurement for Watermelon = 90 cm - 9 cm = 81 cm

[tex]\displaystyle Percent \ error \ for \ Grapefruit= \frac{9 \, cm}{90 \, cm} \times 100 = 10\%[/tex]

The completed table is as follows;

[tex]\begin{tabular}{|l|c|c|c|}&\textbf{Apple}&\textbf{Grapefruit}&\textbf{Watermelon}\\\textbf{Keiko's measurement}&15 cm&24 cm& \underline{81 cm}\\\textbf{Actual measurement}&\underline{10 cm}&30 cm&90 cm\\\textbf{Absolute difference}&5 cm&\underline{6 cm}&9 cm\\\textbf{Percent error}&\underline{50\%}&\underline{20\%}&\underline{10\%}\end{array}\right][/tex]

Learn more about percentage error here:

https://brainly.com/question/5145821

A family reunion has 184 people together at a local hotel. They travel in groups of 13 from the airport by van. How many vans will be needed to take the people to the hotel?

Answers

So basically just divide 184 with the travel groups of 13 which gives you 14.
given:

184 people

groups of 13

to find:

How many vans needed to take the people to the hotel.

solution:

[tex] \frac{184}{13} [/tex]

[tex] = 14.1538461538[/tex]

[tex]nearest \: whole \: number = 14[/tex]

therefore, they'll need 14 vans to take the people to the hotel.

answer= option B

1/2 (x + 8) - 15 = - 3

Answers

Answer:

x=16

Step-by-step explanation:

Heres the work below

Hope this Helps

Use the vertical-line test to determine whether each graph represents a function.

Answers

Answer:

14) Not a function 15) Function 16) Function

Step-by-step explanation:

The vertical line test is when you draw a line on the graph to see if it passes the function. The rule is that you can only have one intersection per line

for number 14, if you draw a line, it intersects the function twice each time

for 15, no matter what kind of vertical line you draw, each line will only intersect the function once and the same for 16 (except 16 is more of a linear function)

Answer:

Well a function can’t be on the same one as each other so thats why the vertical line test is used.

For number 14 if you’d draw a vertical line, you’d see there would be 2 answers So that can’t be a function.

For number 15, if you draw a vertical line, none of the given have 2 questions so number 15 is a function.

Whilst in number 16 if you’d draw a vertical line, there wouldn’t be anything that have 2 answers of that overlap. So it is a function

What is the slope for 1,60,2,120,3,180,4,240

Answers

Answer:

the answer to your question is the slope is 60

evaluate the expression when y=9 and x=8

6y-x​

Answers

Answer:

46

Step-by-step explanation:

because y=9 and x=8

the the equation (6y-x) becomes

(6x9)-8 which will be equal to 46

when worked out on a calculator.

what's 10+10+309765+45

Answers

Hey there!

10 + 10 + 309,765 + 45

= 20 + 309,765 + 45

= 309,785 + 45

= 309,830

Therefore, your answer is: 309,830

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

10 + 10 + 309,765 + 45 = ...

= 10 + 309,775 + 45

= 309,785 + 45

= 309,830

find the measure of angle Y

Answers

9514 1404 393

Answer:

  y = 40°

Step-by-step explanation:

The diagonal BD divides angle D into two equal parts:

  y = 40°

sorry here is the question!! please help and Thank you!!

Answers

Answer:

B.   4

Step-by-step explanation:

[tex] \dfrac{\sqrt{32}}{\sqrt{2}} = [/tex]

[tex] = \dfrac{\sqrt{16 \times 2}}{\sqrt{2}} [/tex]

[tex] = \dfrac{\sqrt{16} \times \sqrt{2}}{\sqrt{2}} [/tex]

[tex] = \dfrac{4\sqrt{2}}{\sqrt{2}} [/tex]

[tex] = 4[/tex]

The ratio of the number of baskets made by Salem to the number of baskets made by Khaled is 3 to 4. Salem made 12 baskets. How many baskets did Khaled make?

Answers

Answer:

Khaled made 16 baskets.

Step-by-step explanation:

3 12

-- = ---

4 x

12 / 3 = 4

4 x 4 = 16

x = 16

Find an equation of the line passing through the point (2, 7) with slope m= 6.

Answers

Answer:

y - 7 = 6(x - 2)

Step-by-step explanation:

1. Since we're given one point and the slope of a line, we can use the point slope form: [tex]y-y_1=m(x-x_1)[/tex]

m = slopey_1 = first y-coordinatex_1 = first x-coordinate

2. (Plugging in values)

[tex]y-7=m(x-x_1)[/tex] [tex]y-7=6(x-x_1)[/tex] [tex]y-7=6(x-2)[/tex]

Therefore, one equation of the line is y - 7 = 6(x - 2).

A recent survey of 8,000 high school students found that the mean price of a prom dress was $195. 00 with a standard deviation of $12. 0. Alyssa thinks that her school is more fashion conscious and spent more than $195. 0. She collected data from 20 people in her high school and found that the average price spent on a prom dress was $208. 0. Which of the following is the correct z-statistic for this situation? 0. 24 4. 84 7. 51 96. 90.

Answers

Answer:4.84

Step-by-step explanation:

Answer: Check attached :) Right on ED22

Step-by-step explanation:

Jerome hikes down a mountain for 3 hours. During this time, he hikes a total distance of 2 ½ miles. How long does it take Jerome to walk 1 mile?

Answers

Answer:

5/6

Step-by-step explanation:

3 hours= 2 1/2 miles

1 hour= 2 1/2 divided by 3

It would take him 5/6 of an hour

Hop this helps!

Choose the steeper line.
y=1/2x-3
or
y=1/4x -8

Answers

Hello there!

y=1/2x-3 is steeper than y=1/4x-8

The bigger the slope, the steeper the line.

Hope this helps!

~Just a cheerful teen

#CarryOnLearning

[tex]SilentNature[/tex] here to help

A house is sold for 8% above its original price. If it was sold for £378000 then calculate its original price

Answers

Answer:

$350,000

Step-by-step explanation:

lets say the original price is x, then 378000=1.08x, divide by 1.08 to get 350000

Write a real-life word problem that can be solved using the system of inequalities below. Be sure to define the variables. x + 4y < 400 x + 6y > 400 Scoring Rubric Scoring Rubric Sample Responses: Two customers each bought the same table and some of the same chairs from a furniture store. The first customer bought 1 table and 4 chairs and spent less than $400. The second customer bought 1 table and 6 chairs and spent more than $400. What could be the price of each chair (y)? Kyle and Jasmine each bought tickets for a concert. Kyle bought 1 student ticket and 4 adult tickets and spent less than $400. Jasmine purchased 1 student ticket and 6 adult tickets and spent more than $400. What could be the price of the adult ticket (y)? Two head coaches bought shirts for their coaching staff. The first coach bought 1 head coach shirt and 4 assistant coach shirts and spent less than $400. The second coach bought 1 head coach shirt and 6 assistant coach shirts and spent more than $400. What could be the price of each assistant coach shirt (y)? Two customers each bought a surround sound system and new movies from an electronic store. The first customer bought the surround sound system and 4 new movies and spent less than $400. The second customer bought the surround sound system and 6 new movies and spent more than $400. What could be the price of each movie (y)? 2 Points The response indicates proficiency in creating real-life word problems that can be represented by given systems of inequalities. The response includes the definition of each variable. The student correctly completes the task. 1 Point The response indicates partial proficiency in creating real-life word problems that can be represented by given systems of inequalities. The student correctly completes the task but makes a minor error. Answers that give a word problem but do not involve a real-life situation receive 1 point. Answers that give a real-life word problem but do not include the definition of each variable receive 1 point. 0 Points The response indicates no proficiency in creating real-life word problems that can be represented by given systems of inequalities. The student shows no understanding of the concept or task. Answers that simply solve the system but do not give a word problem receive 0 points.

Answers

Greg and George bought shoes at a local store. Greg bought one dress shoe and 4 sneakers and spent less than $400.

George bought one dress shoe and 6 sneakers and spent more than $400.

Inequality signs < and > denote less than and greater than respectively.

To solve the above inequalities in order to find x and y prices, a pair of solutions will be the result since linear inequalities with two variables will have a range of solutions

In other words, to find x and y for the inequalities we find a point (x,y) that satisfies the inequality.

Example: if the price of a dress shoe is $80 and the price of a sneaker is $60, it satisfies the system of inequalities for Greg and George since their shoe expenses stay below and above $400 respectively.

We could then say that the point (80,60) is one of the solutions to the inequalities.

We could graph the inequalities in order to find points on the graph that satisfy the inequalities. To graph the inequality we make the equation a linear equation x+4y=400 and plot a straight line in accordance to the inequality. All points above the line satisfy George's inequality and vice versa.

Read more here: https://brainly.com/question/14399777

Help please please urgently

Answers

Answer:

I think the answer to the question is 3/10?

What is Osmosis? brainliest to anybody who can answer this correctly

Answers

Answer:

Osmosis is the diffusion of water to an area of high water concentration to an area of low water concentration.

Step-by-step explanation:

Answer:

the spontaneous passage or diffusion of water or other solvents through a semipermeable membrane

Step-by-step explanation:

a process by which molecules of a solvent tend to pass through a semipermeable membrane from a less concentrated solution into a more concentrated one, thus equalizing the concentrations on each side of the membrane.


On the first day, a shoe shop sold 40 pairs of shoes and every day after it sold 20 more pairs of shoes.
Write an equation in slope-intercept form that describes the number of shoes sold.

Answers

Answer:

Step-by-step explanation:

One day, Fiona and Heidi each bought coins at a coin shop. The equation f(x)=3x 12 represents the value of Fiona’s coin, in dollars, x years later. The graph shows the value of Heidi’s coin, in dollars, x years later. Select from the drop-down menus to complete the statement. When they bought their coins, Choose. Coin was worth Choose. More than Choose. Coin.

Answers

Answer:Fiona's,$6,Heidi's

Step-by-step explanation:

Because i did quiz.

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