Answers
Answer:
Recursive:
[tex]f(1)=35, f(n)=f(n-1)+10[/tex]
Explicit:
[tex]f(n)=35+10(n-1)[/tex]
And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:
[tex]f(n)=a, f(n)=f(n-1)+d[/tex]
Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:
[tex]f(1)=35, f(n)=f(n-1)+10[/tex]
Explicit Rule:
The standard format for the explicit rule is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:
[tex]f(n)=35+10(n-1)[/tex]
Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:
[tex]f(20)=35+10(20-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}[/tex]
Hence, the 20th term is 225.
Related Questions
Olivia has $60 in a savings account. The interest rate is 5% compounded annually. To the nearest cent how much interest will she earn in 2 years
Answers
Answer: She will earn 6 dollars in two years!
Step-by-step explanation: 10% of 60 is 6 because 10 sixes make up 60.
Hope this helps, if not, comment below please!!!
three consecutive even integers in which 20 more than twice of the third is 28 more than the sum of the first two integers
Answers
Answer:
what is the answer choices?
What challenges could the United States face as a new nation??
Answers
Answer:
biden being president
Step-by-step explanation:
Answer:
Like different countries conceived in against frontier upsets, the United States confronted the test of building a sound economy, protecting public freedom, and making a stable political framework which gave a real spot to resistance. In 1790, it was not in the least clear that the Union would long endure.
Pls help me fast this is important
Answers
Answer:
C
Step-by-step explanation:
the slope is -1/3 and y-intercept is 2
Answer:
C. y = - 1/3 x + 2
Step-by-step explanation:
the y intercept is where y is when x = 0 in other words, the number on the y line
the slope is m = 1-2 = -1
3-0. 3
so when you insert that into your slope equation y =mx+b you get y = -1/3 x + 2
Help Really quick
The table shows data collected from 14 people.
Shoe Size, x 8.5 9 9 9.5 10 10 10.5 10.5 11 11 11 12 12 12.5
Height (inches), y 66 68.5 67.5 70 70 72 71.5 70 71 71.5 73 73.5 74 74
Determine the correlation coefficient for the data. Round to the nearest hundredth.
r=
Answers
Answer:
i need the answer ;(
Step-by-step explanation:
Solve the following System of Equations using Substitution or Elimination Method.
3x + 2y = 12
12x + 8y = -15
Answers
4(3x+2y=12)
12x+8y=48
12x+8y=-15
0 ≠ 63
NO SOLUTION
A school has 4,585 students in total. If each classroom in the school has 35 students, how many classrooms are there in the school?
First person to answer get's Brainliest!
Answers
Answer:
131 classrooms
Step-by-step explanation:
Divide 4585 by 35:
4585/35 = 131
Hope that helps! :D
Answer:
131 rooms
Step-by-step explanation:
take the total amount of kids and divide by the number of students per classroom to find the answer: 4,585 / 35 = 131
The graph below shows the cost of pens based on the number of pens in a pack. What would be the cost of one pen?
A graph is shown with title Purchase of Pens. The horizontal axis label is Number of Pens, and the vertical axis label is Cost in dollars. Points are plotted on the ordered pairs 3, 4.50, and 5, 7.50 and 7, 10.50.
(3 points)
a
$1.50
b
$2.30
c
$6.00
d
$13.50
Answers
Answer:
The cost for one pen is A. $1.50
Step-by-step explanation:
Answer:
the pens cost would most likely be a. $1.50
Step-by-step explanation:
The price of an item has risen to $217 today. Yesterday it was $140. Find the percentage increase.
HELLLLLLPPP
I need it to be written out please
Answers
Answer: $77
Step-by-step explanation: 77 is the correct answer because the price increased by 77 because 77 is the difference between the two, and how i got 77 was to subtract 140 ( the earlier price) from 217 ( the price that it changed to), i hope you found this helpful...
did you know that if you smile you can breath.
just kidding just wanted to see you smile
Answers
Answer:
How do I keep falling for this trick!???
Awwwwwwwwwwww tyyyyy <3
A cyclist left Melbourne on wednesday 21 May at 09 45 to treavel to sydney.
The journey took 97 hours.
Write down the day, date and time that the cyclist arrived in Sydney
Answers
Answer:
well i dont think anyone from melbourne will be going anywhere anytime soon
Step-by-step explanation:
25 may, sunday, i think it would be 6:45am?
A rectangular piece of plastic sheet measures 1m by 70cm.
find its cost at the rate of Rs. 80 per metre.
Answers
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
Area of Rectangular sheet = 1m X 0.7 m = [tex] 0.7m^{2}[/tex] or [tex]70 cm^{2} [/tex]
Rate = Rs.80 per [tex] meter^{2} [/tex]
= [tex] 0.7m^{2} \times 80 = 56 [/tex]
hence, The cost will be Rs. 56 for the plastic sheet.
Step-by-step explanation:
Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m
Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2
Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm
Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2
Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2
Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2 Rate = Rs.80 per meter^{2} meter
Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2 Rate = Rs.80 per meter^{2} meter 2
Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2 Rate = Rs.80 per meter^{2} meter 2
Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2 Rate = Rs.80 per meter^{2} meter 2 = 0.7m^{2} \times 80 = 56 0.7m
Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2 Rate = Rs.80 per meter^{2} meter 2 = 0.7m^{2} \times 80 = 56 0.7m 2
Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2 Rate = Rs.80 per meter^{2} meter 2 = 0.7m^{2} \times 80 = 56 0.7m 2 ×80=56
Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2 Rate = Rs.80 per meter^{2} meter 2 = 0.7m^{2} \times 80 = 56 0.7m 2 ×80=56hence, The cost will be Rs. 56 for the plastic sheet.
Which graph represents the equation 4x+2y=8 ?
Answers
Answer:x=2
y=4
Step-by-step explanation:
math
The parabola opens upward has x = 2 as an axis of symmetry and contains the non -vertex points (1, 9) and (4, 27) write the equation in vertex form for this parabola .
Answers
Answer:
f(x) = 6(x - 2)² + 3Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
"the parabola opens upward" means: a>0
"the parabola has x = 2 as an axis of symmetry" means: h = 2
so f(x) = a(x - 2)² + k
"the parabola contains the point (1, 9)" means:
9 = a(1 - 2)² + k
9 = a(-1)² + k
9 = a + k
k = 9 - a
"the parabola contains the point (4, 27)" means:
27 = a(4 - 2)² + k
so:
27 = a(2)² + 9 - a
27 = 4a + 9 - a
3a = 18
a = 6
and k = 9 - 6 = 3
Therefore the vertex form for this parabola is:
f(x) = 6(x - 2)² + 3
Clare cycled a total of 6.48 kilometers by making 4 trips to work. How many trips will Clare have to make to cycle a total of 8.1 kilometers?
Answers
Answer:
5 trips
Step-by-step explanation:
6.48 km = 4 trips
1 trip = 6.48km ÷ 4 trips
1.62km = 1trip
8.1 kilometers ÷ 1 trip = 8.1 kilometers ÷ 1.62km
8.1 kilometers = 5 trips
∴ 8.1kilometers covers 5 trips
Which of the following expressions has a value less than or equal to 514?
I. 0.52 × 10
II. 12 × 12
III. -0.2 × -23
Answers
II. 144
III. 4.6
The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate? A graph titled Brenda's Monthly Cell Phone Bill has hours used on the x-axis and cell phone bill (dollars) on the y-axis. Points plotted are (1, 27), (2, 39), and (3, 51). $12 per hour $15 per hour $27 per hour $39 per hour
Answers
Answer:
$12 per hour
Step-by-step explanation:
In order to find her hourly rate we have to find the amount of dollars billed per hour. To do this we can use this expression: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
Let's use the points (1, 27) and (2, 39) in the expression:
[tex]\frac{39 - 27}{2 -1}[/tex]
Now let's simplify the expression:
39 - 27 = 12
2 - 1 = 1
The expression simplifies to 12/1, or 12. This means that Brenda is billed $12 every hour she uses her phone.
I hope this helps :)
Answer:
12$ per hour!
Step-by-step explanation:
"I am 3 times as old as Sue is," Frank said to Ann. "On the other hand, I am 15 years older than John while Sue is 1 year younger than John. How old am I?"
If J represents John's age, then which of the following equations could be used to solve the problem?
J + 15 = 3J - 1
3(J + 15) = J - 1
J + 15 = 3(J - 1)
Answers
J + 15 = 3(J - 1)
This is the answer.
Which of the following is equivalent to 5(3x+2)
Answers
Answer:
what are the options?
Step-by-step explanation:
u need to add the optiona plz
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answers
Complementary angles add up to 90 degrees. To find the complement, subtract the given angle from 90 degrees to find the number of degrees for the complement.
! NEED HELP ASAP !
what is the domain of the function below?
(1,3) (2,5) (3,7) (4,9)
***SEE PICTURE***
Answers
Answer:
Step-by-step explanation:
1,2,3,4
Answer:
i put this into my calculator and it said the domain was:
{1, 2, 3, 4}
i doubt you need this, but it gave it to me as well, so..just incase you need it, the range is:
{3, 5, 7, 9}
hope this helps! :)
Suppose A and B are points on the number line. If AB = 8 and B lies at −7, where could A be located?
Select ALL that apply.
−1
1
15
−15
Answers
Answer:
The correct answers are: 1 and -15
Step-by-step explanation:
Let a be a point on number line and b be the second point on number line.
The distance between two numbers on number line is calculate by subtracting the smaller number from larger number.
Here
AB = 8
B = -7
We have to look at the options one by one.
For A = -1
As A>B
[tex]AB = B-A = -1-(-7) = -1+7 = 6[/tex]
For A = 1
As A>B so
[tex]AB = A-B = 1-(-7) = 1+7 = 8[/tex]
So with A = 1 , AB = 8
This is one of the right answers.
For A=15
As A>B
[tex]AB = A-B = 15-(-7) = 15+7 = 22\\[/tex]
For A=-15
As B>A
[tex]AB = B-A = -7-(-15) = -7+15 = 8[/tex]
As with A=1 and A=-15, the distance between AB is 8 so these are the correct answers.
Hence,
The correct answers are: 1 and -15
$25 with a 300% increase
Answers
Answer:
100 dollars
Step-by-step explanation:
So amount of increase = (300/100) * 25
= 3 * 25
= 75 dollars
Then the final amount = (25 + 75) dollars
= 100 dollars
The fair spinner shown in the diagram above is spun.
Work out the probability of getting a number less than 1.
Give your answer in its simplest form.
Answers
h(x) = 4x-2, then which of the following is the solution to h(x)= 3
Answers
Answer:
h(x)=10
Step-by-step explanation:
h(x)= 4x-2 h(x)=3
h(x)= 4(3)-2
h(x)= 12-2
h(x)= 10
I desperately need some help with this question
Answers
Answer: it's f bc each corn is .30 cents
Step-by-step explanation:
what is the equation of the line in slope intercept form
Answers
Hello, Please help me find a book for school. I forgot the title and it was a really important part of my childhood. I need it for a school project.
Here is a description of the book.
A young white girl named Cecilia from around the 60's mother dies. She is sent to live with her black family members. Cecelia constantly bits her lip. Later her new family goes to the beach and other people think they kidnapped Cecelia and that her aunt, who is wearing overalls, is a man. Later they go to a church or something and see an old lady whose son has died. His photo is kept in a swirly gold photo frame. Her new family takes her to go to some sort of party with her new families friends. The party is so much fun so Cecelia asks why they don't do this all the time. Her new family says that it would be less special. Her new family talks about how this is a new chapter of her life. Cecelia makes a friend and asks if the want to walk to school together. Cecelia gets scared if her friend won't come. Her new friend comes. The book then ends on about the chapters of life.
Please help me find this book. I need this for school. I don't just want people answering just to get points. Thank you.
Answers
Answer:
I need some more detail on character can you remember?
Step-by-step explanation:
Answer:
i think it is The Goldfinch
Step-by-step explanation:
pretty sure that is right...
the sum of two numbers is 16. their difference is 1. what is the product of the two numbers
Answers
Answer:
The product of the numbers is 63.75
Step-by-step explanation:
Let the numbers be x and y
x + y = 16
x -y = 1
Adding both together
2x = 17
x = 17/2
x = 8.5
Recall
x -y = 1
8.5 - y = 1
y = 8.5 - 1 = 7.5
Their product is xy
so we have 7.5 * 8.5 = 63.75
If (p, q) is the solution to the system of equations, what is the value of q?
−16p − 2q = 100
p − 4q = 200
A) 0
B) −10
C) −25
D) −50
Answers
Answer:
1
Step-by-step explanation: