d(1)=13 d(n)=d(n−1)+17 ​ Find the 4 th term in the sequence.

Answers

Answer 1

Answer:

the 4th term is 64

Step-by-step explanation:

Given

d(1) = 13

d(n) = d( n -1) +17

First

d(2) = d(2-1) + 17

= d(1) + 17

= 13 + 17

= 30

d(3) = d(3-1) +17

= d(2) + 17

= 30 +17

= 47

d(4) = d(4-1) + 17

= d(3) + 17

= 47 +17

=64

Answer 2
Final answer:

To find the 4th term in the sequence defined by d(n)=d(n-1)+17, we can use the formula recursively to compute the subsequent terms. Starting with d(1)=13, we can find d(4) by adding 17 repeatedly.

Explanation:

The sequence is defined by the formula d(n)=d(n-1)+17, with d(1)=13. To find the 4th term in the sequence, we can use the formula recursively. Starting with d(1)=13, we can find d(2) by adding 17 to d(1): d(2)= d(1) + 17 = 13 + 17 = 30. Continuing this pattern, we find d(3) = d(2) + 17 = 30 + 17 = 47. Finally, we find d(4) = d(3) + 17 = 47 + 17 = 64.

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Related Questions

The shape on the left is transformed to the shape on the right.


Shape M N O P is rotated to form shape M prime N prime O prime P prime.

Which of the following statements describes the transformation?

M N O P right-arrow M prime N prime O prime P prime

M prime N prime O prime P prime right-arrow M N O P

P prime O prime M prime N prime right-arrow M O P N

M N O P right-arrow O prime P prime M prime N prime

Answers

Answer:

answer 1, MNOP -> M'N'O'P'

Step-by-step explanation:

this is the most logical answer because it describes how the shape moves

Answer:

MNOP --> M'N'O'P'

Step-by-step explanation:

M --> M'

N --> N'

O --> O'

P --> P'


Simplify:
(18)2(3)2(4)3
(6)2(2)3

A) 81
B) 124
C) 140
D) 648

Answers

Answer:

The value of a = 4 and b = 3 make the equation true, the correct option is D.

Step-by-step explanation:

Square root

The square root is defined as the value given the original value.

Given information

Equation;

The values of a and b are;

On comparing with the equation both sides;

The value of a is 4 and b is 3.

Hence, The value of a = 4 and b = 3 make the equation true, the correct option is D.

Find the vertex and the axis of symmetry of the graph f(x) = 3(x + 1)2.

Answers

Answer:

Step-by-step explanation:

hello :

the vertex is (-1 ;0)

the axis of symmetry  is : x= -1

can someone please help

Answers

Answer:

Step-by-step explanation:

1)

[tex]\frac{5}{24}+\frac{2}{3-x}=\frac{1}{4}\\\\\frac{5}{24}-\frac{1}{4}=\frac{-2}{3-x}\\\\\frac{5}{24}-\frac{1*6}{4*6}=\frac{-2}{3-x}\\\\\frac{5-6}{24}}=\frac{-2}{3-x}\\\\\frac{-1}{24}}=\frac{-2}{3-x}\\\\\\(-1)*(3-x)=(-2)*24\\\\-1*3-(-1)*x = -48\\\\-3 + x = -48\\\\x = -48 + 3\\\\x = -45[/tex]

x = -45

2)

Write a system of equations that matches the graph
shown.

Answers

Answer:

no te pases de bago

ednenjnjnjnnjnjnjnjnenjdnjendjen

Step-by-step explanation:

The system of equations that matches the graph is

x + y = 2
3x - y = 1

What is the system of equations

From the question, we are to write a system of equations for the two straight lines shown

To do this, we will pick two points on each line

Red line:

(0, 2) and (2, 0)

Using the formula,

y - y1 / x - x1 = y2 - y1 / x2 - x1

(y - 2) / (x - 0) = (0 - 2) / (2 - 0)

Simplifying

(y - 2) / x = -2 / 2

(y - 2) / x = -1

y - 2 = -x

Thus,

x + y = 2


Blue line:

(1, 1) and (0, -2)

Using the formula,

y - y1 / x - x1 = y2 - y1 / x2 - x1

(y - 1) / (x - 1) = (-2 - 1) / (0 - 1)

Simplifying

(y - 2) / (x - 1) = -3/ -1

(y - 2) / (x - 1) = 3

y - 2 = 3(x - 1)

y - 2 = 3x - 3

Thus,

3x - y = -2 + 3

3x - y = 1


Hence,

The system of equations is

x + y = 2
3x - y = 1

Determine the perimeter

Answers

Answer:

1.662cm

Step-by-step explanation:

add 0.9 and 0.762 to get 1.662

thats all you literally do.

When 3 is taken from five times a certain number, the result is the same as adding 6 to twice the number. Find this number​

Answers

Answer:

3

Step-by-step explanation:

5x-3=6+2x

5x-2x=6+3

3x=9

x=3

Where is the gap in the data?

Number of Patients Per Hour Who Waited Longer than 15 Minutes
A dot plot going from 0 to 5. 0 has 8 dots, 1 has 6 dots, 2 has 1 dot, 3 has 5 dots, 4 has 0 dots, and 5 has 3 dots.
0
2
4
8

Answers

Answer:

the answer is 4

Answer:

THE ANSWER IS FOUR

Step-by-step explanation:

Question 1
How can you rewrite the following expression?
Your answer:
4- 2 = 2
4+ (-2) = 2
4+2 = 6
INTL

Answers

2-4=2

(-2)+4=2

2+4=6

Why is this a question
Final answer:

The expression '4 - 2 = 2' can be rewritten as '4 + (-2) = 2' or 'subtracting 2 from 4 equals 2'. However, '4 + 2 = 6' is not equivalent to the initial expression and represents an addition, not a subtraction.

Explanation:

The expression '4 - 2 = 2' can be rewritten in a number of ways. Firstly, we can consider '4 - 2' as '4 + (-2)', which indeed equals 2. Moreover, another way to rephrase '4-2' is 'subtracting 2 from 4', still equals 2. A different expression, '4 + 2', however, results in a value of 6, which is not equivalent to our initial expression '4 - 2 = 2'.

We use the concepts of addition and subtraction to rewrite these expressions. It is crucial to understand that the operation of subtraction can be imagined as the addition of a negative number to a positive one. Whereas, the operation 4 + 2 = 6 belongs to a different category, as it is straightforward addition, not a subtraction.

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If a florist uses her credit card to pay for a new window display that costs $1,242 and does not pay it on until the Second month, what will the 1.25% monthly interest charge be at the end of the first month?

A.$12.83

B.15.53

C.16.00

D.$17.17

Answers

Answer:

$15.53

Step-by-step explanation:

Please refer to the attached image for explanations

can someone please help me i would be very grateful
Questions 4,5,6,7,8,9
HELP

Answers

I only know the vertex and the max/min.
4.) Vertex = (-4,1) // Max
5.) Vertex = (5,-4) // Min
6.) Vertex = (2,5) // Min
7.) Vertex = (3,-4) // Min
8.) Vertex = (-1,1) // Max
9.) Vertex = (5,0) // Min

x- 8.75 = 7.63 helppppp

Answers

x- 8.75= 7.63
+8.75. +8.75
So x= 16.38
hope this helps :)

Hi there! Hopefully this helps!

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

Answer: X = 16.38

To see what X equals, you need to do the inverse of the operation use.

For example, this equation uses subtraction, so to solve it we use addition.

||

\/

8.75 + 7.63 = 16.38.

So, 16.38 - 8.75 = 7.63.

a and b are positive integers and a−b = 2. Evaluate the following:
2^a / 2^b

Answers

Answer:

2³/2=4

Step-by-step explanation:

a=2+b

(2+b)²/b²

4+4b+b²/b²

since b²/b² cancel out

4+4b=0

4b=4

b=1

sub into a=b+2

a=3

I'm not exactly sure what I did was correct but I hope it helps anyways.

is the sequence 1,0,-1,0 geometric

Answers

Answer:

no

Step-by-step explanation:

there has to be a common value that they are all multiplied by

Eleana and her grandfather both had birthdays last week.
• The sum of their ages is 100 years.
• Her grandfather's age is 4 times Eleana's age.
How old is Eleana and her grandfather?

Answers

Answer:

Eleana is 20 years old and her grandfather is 80 years old.

Step-by-step explanation:

So first off, we want to make variables to represent Eleana and her grandfather.

Let x represent Eleana's age.

Since her grandfather is four times older than Eleana,

The expression should be 4x+x=100

Step One

Add the x's together and you get 5x=100.

Step Two

Divide both numbers by 5 to solve for x.

x=20

Junior's box of animal crackers contains ten elephants, ten monkeys, ten zebras, and ten lions. Without looking, Junior grabs one cracker from the box and eats it. What is the probability that both crackers were lions?

Answers

Answer:

3/52

Step-by-step explanation:

10/40 x 9/39 = 3/52

Final answer:

The probability that both animal crackers Junior grabs from the box are lions is approximately 5.75%.

Explanation:

The question asks to calculate the probability that both animal crackers Junior grabs from the box are lions. With a total of 40 animal crackers (10 elephants, 10 monkeys, 10 zebras, and 10 lions), the probability of picking a lion first is 10/40 or 1/4. After eating one lion, there are now 39 crackers left and only 9 lions. The probability of picking a second lion is 9/39. To find the probability that both crackers eaten are lions, we multiply the probabilities of these two independent events: (1/4) * (9/39) = 9/156 or 1/17.39. This simplifies to approximately 0.0575 or 5.75%.

If n+5/5=f+9/9, then n/5=

Answers

n/5 + h/5 = f+9 / 9. Take away h/5 from both sides: n/5 = f+9/9 - h/5. Change denominator: n/5 = 5f + 45/45 - 9h/45. n/5 = 5f-9h+45/45. :)

Answer:

f/9

Step-by-step explanation:

(n + 5)/5 = (f + 9)/9

n/5 + 1 = f/9 + 1

n/5 = f/9


Patel is solving 8x? + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options,

Answers

Answer:

8x+16x+3=0

24x+3=0

24x=3

x=24÷3

x=8

An envelope is 3 inches wide, and it measures 7 inches along the diagonal. What is the envelope’s length? If necessary, round to the nearest tenth.

Answers

The length of the envelope is 6.3 inches

Step-by-step explanation:

Width of the envelope = 3 inches

Diagonal of the envelope = 7 inches

To find:

The length of the envelope.

Let the length of the envelope be 'l'

We can use pythogoras theorem to calculate the length.

l = √(49-9)

l = √(40)

l = 6.3 inches

The length of the envelope is 6.3 inches

The circumference of a circle is 36 feet. What is the length of the radius of this circle?

A. 9 ft

B. 18 ft

C. 36 ft

D. 72 ft

Please answer now!

Answers

The answer is D 72 ft

If h is instead negative, the curve shifts

Answers

Could you give more information?
we need more info to solve this question

In the equation z/6 = 36, what is the next step in the equation solving sequence

Answers

Answer:

The answer to your solution is z = 36

Step-by-step explanation:

36 divided by 6 = 6

What is the effect on the graph of the function f(x) =^8x when f(x) is replaced with f(x − 2)?

Answers

Answer:

f(x - 2) = 8x - 16

Step-by-step explanation:

f(x) = 8x

f(x - 2) = 8(x - 2)

f(x - 2) = 8x - 16

2 Points
Multiply the polynomials.
(х- 7)(х2 + 3х – 3)
ОА. 3 – 4х2 – 24
21
О
В. x — 7х2 — 24х + 21
ооо
Ос. 3 – 72 - 3x+21
O
D. х3 – 4х2 – 3х+21
SUBM

Answers

Answer:

213

Step-by-step explanation:

What is the volume of this cylinder?
Use n = 3.14 and round your answer to the nearest hundredth.


Answers

Answer:

12762.72 cubic meters

Step-by-step explanation:

The volume of a cylinder is denoted by the formula: [tex]V=\pi r^{2} h[/tex], where r is the radius and h is the height.

Here, we see that the height h = 11.5 m. We also see that the diameter is 37.6 meters. Since diameter = 2 * radius, we can divide this number by 2 to get the radius: r = 37.6/2 = 18.8 meters.

Now substitute these values into the equation:

[tex]V=\pi *(18.8^2)*11.5=3.14*(18.8^2)*11.5=12762.72[/tex] cubic meters

Hope this helps!

Answer:

[tex]12769.19m^{3}[/tex]

Step-by-step explanation:

The formula for the area of a circle is:

[tex]\pi r^{2}[/tex]

To work this out you would first have to find the area of the circle. To do this you would first divide 37.6 by 2, which gives you 18.8. Then to find the area you would multiply pi by 18.8 squared, which gives you [tex]1110.36m^{2}[/tex]. Then To find the volume you would multiply 1110.36 by 11.5, which gives you [tex]12769.19m^{3}[/tex].

To find the volume of a prism you would find the area of the main face and multiply it by the height.

1) Divide 37.6 by 2.

[tex]37.6/2=18.8[/tex]

2) Multiply [tex]\pi[/tex] by 18.8 squared.

[tex]\pi *18.8^{2}=1110.36m^{2}[/tex]

3) Multiply 1110.34 by 11.5.

[tex]1110.36*11.5=12769.19m^{3}[/tex]

Remember when finding the area, thee answer is always going to be squared.

Remember when finding the volume the answer is always going to be cubed.

points and brainliest!
is this a function?
true or false

Answers

Answer:

false

Step-by-step explanation:

it fails the vertical line test, (x cannot be equal to 2 or more y values or its not a function)

To check if a graph is a function, we use the vertical line test. If your run a vertical line over the function, are there any places where the line intersects the graph more than once? If so, it's not a function.

In this case, if we have a line at x = 0, the line will go through more than one point - (0, 0) and (0, 3.1) [exact value doesn't matter, what matters is that there's a point there]. That means that this is not a function, so the statement is false.

Which of these is not a Pythagorean Triple?
Select one:
a. 5,12,13
b. 3,4,5
c. 1,2,3
d. 7,24,25

Answers

Answer:

C because the rest are pythagoreaum theroems 1 squared plus 2 squared does not equal 3 squared.

Step-by-step explanation:

The answer is C , I hope it helps

i need this answered asap !

Answers

Answer:

Week 16

Step-by-step explanation:

Week 1: 3.5 miles  => 22.5 miles left

22.5/1.5 increments = 15 weeks

15 weeks + week 1 = 16th week

Answer:

week 16

Step-by-step explanation:

In a classroom, there are 7 groups of desks, and each group has the same
number of desks. The math teacher distributes one calculator to each desk. If
out of 37 calculators all but 2 are distributed, how many desks are in each
group?
Help me!! Pleaseee

Answers

Answer:

5 groups

Step-by-step explanation:

because you subtract two from 37 calculators that gives you 35 divide it by 7 and you get 5

Answer:

It' s was 77

Step-by-step explanation:

Which writing algebraic expression correctly translate 2n + 8

Answers

The correct translation for the expression 2n + 8 is "eight more than twice a number."

The expression 2n + 8 represents doubling a number (represented by n) and then adding 8 to it. In simpler terms, it signifies performing the operation of multiplication (twice the number) followed by addition (adding 8). So, when we say "eight more than twice a number," it perfectly encapsulates this mathematical operation: first, we double the number, then add 8 to the result. This succinctly describes the algebraic expression 2n + 8 in a clear and concise manner.

Complete Question:

Which written algebraic expression correctly translate 2 n+8 ?

A. eight more than twice a number

B. eight plus double a number

C. a number squared added to eight

D. the total of eight and twice a number

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(a) Which of the following factors led to Brenda's customer switching behavior?O inconvenienceO pricing O response to service failureO ethical problemsO involuntary switching Write a regular expression pattern that matches strings representing trains. A single letter stands for each kind of car in a train: Engine, Caboose, Boxcar, Passenger car, and Dining car. There are four rules specifying how to form trains. 1. One or more Engines appear at the front; one Caboose at the end. 2. Boxcars always come in pairs: BB, BBBB, etc. 3. There cannot be more than four Passenger cars in a series. 4. One dining car must follow each series of passenger cars. These cars cannot appear anywhere other than these locations. Here are some legal and illegal exemplars. EC Legal: the smallest train EEEPPDBBPDBBBBC Legal : simple train showing all the cars EEBB Illegal: no caboose (everything else OK) EBBBC Illegal: three boxcars in a row EEPPPPPDBBC Illegal: more than four passenger cars in a row EEPPBBC Illegal: no dining car after passenger cars EEBBDC Illegal: dining car after box car Hint: my RE pattern was 16 characters.