Define the following sequence recursively:

4, 15, 26, 37, ...

Define The Following Sequence Recursively:4, 15, 26, 37, ...

Answers

Answer 1

Answer:

a) f(n) = 11 + f(n - 1)

Step-by-step explanation:

f(2) = 11 + 4 = 15

f(3) = 11 + 15 = 26

f(4) = 11 + 26 = 37

f(5) = 11 + 37 = 48


Related Questions

What is the measure of ZB?​

Answers

Answer:

∠ B = 116°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , that is

∠ B + 28° + 36° = 180°

∠ B + 64° = 180° ( subtract 64° from both sides )

∠ B = 116°

Answer:

116°

Step-by-step explanation:

The sum of interior angles of a triangle is 180°

so

180 - 36 - 28 =

116°

Ramon surveyed his friends about their favorite snacks. He found that 1/6 of his friends prefer trail mix. What is the equivalent decimal for the fraction of friends that prefer trail mix? Drag and drop the correct number to the box. 1/6 0.16 or 6

Answers

Answer:

hlp

Step-by-step explanation:

hlp

for which value of x does each expression make sense:
(square root) -2x^2
(square root) (-2x)^3

Answers

The value of x that makes sense for the expression is the domain of the expression

The value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0The value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense

[tex]\sqrt{-2x^2}[/tex]

For the above expression to have a defined value, the expression in the bracket must be positive.

However, x^2 will always be positive, and -2 will ensure that the expression is always negative, except when x = 0

Hence, the value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0

[tex]\sqrt{(-2x)^3}[/tex]

For the above expression to have a defined value, the expression in the square root must be positive.

However, the power of 3 will ensure that the expression is always positive only when x is less than or equal to 0

Hence, the value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense

Read more about domain at:

https://brainly.com/question/10197594

Answer: First answer = x<=0 and second answer is x<0

Step-by-step explanation: The other guy got the work correct but the answer wrong. The real answer is x≤0 for -2x^2 and the second answer is x < 0.

PLS PLS PLS HELP ON GEOMETRY PLS

Answers

Answer:

40 degrees

Step-by-step explanation:

Since triangle HJL is isosceles, angle HJL is congruent to HLJ, so it is 75 degrees.

Angle HLM is linear with HLJ, so they add up to 180, so HLM = 105 degrees.

Triangle HLM adds to 180 degrees, so 180 - 35 - 105 = 40

Find the period of the function y=3/2 tan(1/3^x)
A) π/3
B) π/6
C) 3 π
D) π

Answers

C is the right answer because the period should be pi/(1/3), so the answer is 3pi

9x2+8x(5x-4) simplify

Answers

Answer:

40x --14

Step-by-step explanation:

Multiply 9 and 2 to get 18

Use distribute property

Multiply 8 by 5x -15

Subtract 32 from 18 = -14

ratio of boys to girls is 2:3 what is the ratio of boys of there are 6 girls​

Answers

Answer:

4:6

Step-by-step explanation:

2 x

- = ----

3 6

6/3 = 2

2 x 2 = 4

Estimate 4 1/3 x 2 3/4

Answers

Answer:

11 11/12

Step-by-step explanation:

Answer:

≈ 12

Step-by-step explanation:

To estimate, we'll round these mixed numbers to the nearest whole number, then multiply. Let's start with 4 1/3. 4 1/3 is closest to 4, since 1/3 is smaller than 1/2. Then, we can look at 2 3/4. This mixed number is closest to 3, since 3/4 is greater than 1/2.

Now, the two numbers we have are 4 and 3. What is 4 × 3? Well, that's pretty simple - the answer is 12. So, 4 1/3 × 2 3/4 ≈ 12. Hopefully that's helpful! :)

George is 14 years old. His age is 2 years more than twice his brother, Jhon's age. How old is John?

Answers

Answer:

30

Step-by-step explanation:

14×2=28

28+2=30

i hate riddles

find the value of 7u+7 given that -3u-5=4

Answers

Answer:

14

Step-by-step explanation:

-3u = 4+5

-3u = 9

u = -3

7u + 7

7(u +1) = 7(-3+1)

7(-2)

14

A train leaves a point A at 5 pm and reach another point B at 11 pm. Another train leaves point B at 7 pm and reach point A at 10 pm. At what point will the two trains meet?

Answers

Answer: I think the two trains meet at 9pm

Explanation: A=train a B=train b

If A is traveling for 6 hours and B is traveling for 3 hours, then you minus 3 hours from A, so you are left with 3 hours. Convert that into time, and you are left with 9pm!

Hope this helps! :)

Step-by-step explanation:

let's think this through.

train a goes from A to B in 6 hours. that means with a speed of 1/6 / hour.

train b goes from B to A in 3 hours, so it is twice as fast as train a = 2/6 / hour.

when train b leaves B (at 7pm), train a was already traveling for 2 hours (1/3 of the whole trip) leaving it with 4 hours to go (2/3 if the distance).

that means that at that point now both trains are moving against each other with a relative speed of 3 times the

speed of a (the original speed of a plus the double speed of b).

this is the same as one train standing, and the other going the whole distance with 3 times the speed of a.

the whole distance is 2/3 of AB.

the speed is 3/6 / hour = 1/2 / hour.

so, a single train with that speed would cover the total distance AB in 2 hours. or half of the distance in 1 hour.

the question now, how long for 2/3 of AB.

the distances relate by a factor :

1/2 × f = 2/3

f = 2/3 / 1/2 = 2/3 × 2/1 = 4/3

now we need to multiply also the time in the distance/time speed ratio by this factor.

therefore, 2/3 of the total distance is done in 1×4/3 = 4/3 of an hour.

that means both trains meet after 4/3 of an hour after 7pm.

that is 7pm plus 1 hour and 20 minutes giving us 8:20pm.

I NEED HELP ON QUESTION B AND C ASAP.

Answers

Answer:

See below

Step-by-step explanation:

Part B

Assumed the dimensions of the top and bottom parts are identical.

Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:

h = 1.8 cm - 0.3 cm = 1.5 cmPart C

Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.

V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³

Total sand in the bottom part:

7.96 + 4.6 = 12.56 cm³

Time taken:

12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds

I will give u a crown The rectangles below are similar in shape and their sides are proportional. The large rectangle is 42 feet tall and 54 feet wide. The smaller rectangle is 36 feet wide. How tall is the smaller rectangle? *

Answers

Answer:

28ft tall

Step-by-step explanation:

Since they are proportional, you can set up a ratio of length to width.

L/W=L/W

42/54=L/36

L=(42*36)/54

L=28

A triangle has two sides of length 9 and 3. What is the smallest possible whole-number length
for the third side?

Answers

Answer:

The answer is 11

Step-by-step explanation:

hope this helps a little bit

help
Pls no joking around

Answers

Answer:

I think like expressions you use x or y or such many variables. you use - or + too. like (x+2)y there are parentheses too.

how many times bigger is 3,136 than 486 written as a percentage

Answers

Answer:

Step-by-step explanation:

Solution for 468 is what percent of 486:

468:486*100 =

(468*100):486 =

46800:486 = 96.3

Now we have: 468 is what percent of 486 = 96.3

Question: 468 is what percent of 486?

Percentage solution with steps:

Step 1: We make the assumption that 486 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=486$.

Step 4: In the same vein, $x\%=468$.

Step 5: This gives us a pair of simple equations:

$100\%=486(1)$.

$x\%=468(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$frac{100%}{x%}=frac{486}{468}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$frac{x%}{100%}=\frac{468}{486}$

$Rightarrow x=96.3%$

Therefore, $468$ is $96.3%$ of $486$.

1) f(4) = g(4)
2) f(4) = g(-2)
3) f(2) = g(-2)
4) f(-2) = g(-2)

Answers

Answer: 4)

Step-by-step explanation:

f(4) = -14

g(4) = 10

g(-2) = 4

f(2) = -8

f(-2) = 4

The correct statement is 4) f(-2) = g(-2)

Or by inspection, we can see that the graph f(x) intersects g(x) at x = -2 and    y = 4. So, f(-2) = g(-2) = 4 is true

Which of the following tables represents a function?


A) x 1 −1 4 −4
y 8 8 10 10

B) x 2 2 3 3
y 6 −6 7 7

C) x 5 −5 5 −5
y 10 11 12 13

D) x 2 2 7 7
y 2 3 4 5

Answers

The only table that represents a function is table A

For a relation or table to represent a function, the input values (domain) must have a corresponding codomain (output) that is unique.

This means that there must not be two similar values as the domain in the table, if there is, such table does not represent a function.

We can see that tables B, C, and D do not represent a function since they all have repeating values in their x-values.

Hence the only table that represents a function is table A

Learn more on tables and functions here: https://brainly.com/question/3632175

At what rate would $1,200 earn $96 in 8 years?

Answers

Ur getting scammed lol but if you are looking at a constant term of a flat amount added each year, then the answer would be 96/8 and that would equal 12 so 12 dollars a year.


But if you are looking for yearly increase percentage wise then, first we would put out an equation, 1296 = 1200(x)^8= you would then put it into a calculator because the eighth root is omega hard to calculate, but the end answer is
1.009667

Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0

Answers

Answer:

Step-by-step explanation:

0 is not an interval, it is just the origin

hard to make an estimate without knowing the limits.

average rate of change will be Δy / Δx or (y - y₀) / (x - x₀)

as (0, 0) is the origin and appears to be on the plot line, the average rate of change will be y/x for any other point on the curve relative to the origin.

EDIT

for interval 0 ≤ x ≤ 8

at x = 8 y appears to be -24

average change is -24 / 8 = -3

For the high school basketball game, it costs $8 for every 2 tickets.
Complete the table below showing the cost and the number of tickets.

Answers

Answer:

$8   16    24     32   40     48      56      64   72      80

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

4     8     12     16    20     24     28     32     36     40

Step-by-step explanation:

It would cost $4 for each ticket
The first box is 20
The second box is 7
The third box is 32
And the last one is 10

Lieutenant James made an average of 3 arrests per week for 4 weeks. How many arrests does she need to make in the fifth week to raise her average to 4 arrests per week?

Answers

Answer:

5

Step-by-step explanation:

We want the average arrests to be 4. It can be done by calculating the average between the average arrests and arrests during the 5th week, so we get:

Avg(1,2,3,4,5) = (Avg(1,2,3,4) + A(5)) / 2

Where Avg(x) is the average of arrests in given weeks, and A(x) is the number of arrests in a given week.

Solving for A(5) => A(5) = 2*Avg(1,2,3,4,5) - Avg(1,2,3,4) = 2 * 4 - 3 = 8-3 = 5

Write in expanded form
1) 531.029

Answers

Answer:

expanded for everything

Step-by-step explanation:

Expanded Form of 531.029:

531.029 = (5 * 102) + (3 * 101) + (1 * 100) + (2 * 1/102) + (9 * 1/103)

531.029 = (5 * 100) + (3 * 10) + (1 * 1) + (2 * 1/100) + (9 * 1/1,000)

531.029 = 500 + 30 + 1 + 2/100 + 9/1,000

531.029 = 500 + 30 + 1 + 0.02 + 0.009

evaluate:

16÷(2+12)2

A. 2 14/25

B. 4 1/4

C. 6 2/5

D. 8 1/4

Answers

The result of the given expression in simplest form is [tex]\frac{4}{7}[/tex].

The given parameters:

16÷(2+12)2

The given expression can be evaluated in the following order as shown below;

add the numbers in the bracket;

2 + 12 = 14

multiply the numbers in the bracket by 2;

14 x 2 = 28

divide the 16 by your result after the multiplication;

[tex]= \frac{16}{28} \\\\[/tex]

divide the numerator and denominator by their common factor which is 4;

[tex]\frac{16}{(2+ 12) 2} = \frac{16}{28} = \frac{4}{7}[/tex]

Thus, the result of the given expression in simplest form is [tex]\frac{4}{7}[/tex].

Learn more about simplification of algebra here: https://brainly.com/question/432678

A box is 36 inches long,18 inches wide, and 6 inches deep. How many cubic feet are in the box?

Answers

Answer:

3,888 ft³

Step-by-step explanation:

Multiply the dimensions together.

[tex](36)(18)(6)=3888[/tex]

Therefore, the box is 3,888 ft³.

The volume of the box in feet given its dimensions is 2 1/4 feet³.

What is the volume of the box?

The volume of the box can be determined by multiplying the length, width and height of the box with each other.

Before the volume can be determined, the dimensions have to be converted from inches to feet.

1 inch - 1/12 feet

Length = 36 / 12 = 3 feet Width = 18 / 12  = 3/2 feet Height = 6/12 = 1/2 feet

Volume = 3 x 3/2 x 1/2 = 9/4 = 2 1/4 feet³

To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747

#SPJ2

HELP QUICK!
Read the description of f below, and then use the drop-down menus to complete an explanation of why f is or is not a function.

f relates each student in South High School to their grade point average (GPA) and number of credits earned.

Answers

Using the function concept, it is found that f is a function, as each student is related to only one GPA and only one number of credits.

In a function, one value of the input can be related to only one value of the output.

In this problem:

The input is the student.The output is the student GPA, and the number of credits earned.

Each student is related to only one GPA and only one number of credits, hence one value of the input is related to only one value of the output, and f is a function.

To learn more about the function concept, you can take a look at https://brainly.com/question/12463448

hi, have a good day!

Answers

Thank.........you......so.........much.....
lol hey thank for the pts

hlep me plsssssssssssssssssssssssss

Answers

C,
{(-1, -3),(0,-1),(1,1),(2,3),(3,5)}

Answer:

B.

Step-by-step explanation:

It is not A because it does not make sense and does not match up.

It Is not C because that is just points and it is asking for a function.

D is wrong.

So It is B.

Here is the graph for B. It matches up.

[tex]\mathrm{Axis\:interception\:points\:of}\:2x-1:\quad \mathrm{X\:Intercepts}:\:\left(\frac{1}{2},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-1\right)[/tex]

[tex]\mathrm{Slope\:of\:}2x-1:\quad m=2[/tex]

Alana deposited $20 in a savings account earning 5% interest, compounded annually.
To the nearest cent, how much will she have in 2 years?
Submit

Answers

Answer:

Step-by-step explanation:

y = $20(1.05)² = $22.05

SOMEONE PLS HELP ME WITH GEOMETRY: what triangle is congruent to ABC?

Answers

Answer:

MLK :)

Step-by-step explanation:

Congruent means identical shape.

Answer:

D. KLM

Step-by-step explanation:

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