Answers
Answer:
see explanation
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = - 95 and a₃₇ = - 270 , then
a₁ + 11d = - 95 → (1)
a₁ + 36d = - 270 → (2)
Subtract (1) from (2) term by term to eliminate a₁
25d = - 175 ( divide both sides by 25 )
d = - 7
Substitute d = - 7 into (1) and solve for a₁
a₁ + 11(- 7) = - 95
a₁ - 77 = - 95 ( add 77 to both sides )
a₁ = - 18 , thus
[tex]a_{n}[/tex] = - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11
[tex]a_{n}[/tex] = - 7n - 11 ← explicit formula
--------------------------------------------------------------
The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 7 with a₁ = - 18 ← recursive formula
Related Questions
price of 1 kg sugar is rupees 104.25 find the price of 50 kg
Answers
Answer:
5,212.5 rupees
Step-by-step explanation:
If price of 1 kg is 104.25
multiply 50 by 104.25
equals 5,212.5 rupees
Answer:
5212.50 rupees
Step-by-step explanation:
We can use a ratio
1 kg 50 kg
----------- = ---------------
104.25 x
Using cross products
1x = 50 * 104.25
x =5212.50 rupees
Please someone help me
Answers
Answer:
D
Step-by-step explanation:
Answer:
uhh what kinda symbols r those
Step-by-step explanation:
Can someone solve this for me
Answers
Answer:
Option J
Step-by-step explanation:
y = 5x is the answer because it doesn't have a y-intercept which means it passes through the origin (0, 0).
Can anyone help?
The question says to expand and simplify it but i dont know how.
Answers
Answer:
3x+14
Step-by-step explanation:
remove parenthses
6x+8-3x+6
3x+14
Answer:
3x+14
Step-by-step explanation:
2(3x+4)-3(x-2)
6x+8-3x+6
3x+14
3.1/3÷2.3/5
I Mark brainlies
Answers
Answer:
1.11/39
Step-by-step explanation:
Maritza says that the number y is equal to 5 less than -5 times x. Which of the following equations could be used to find the value of y?
Answers
Answer:
y= -5x-5
Step-by-step explanation:
Y is equal to 5 less than -5 times x, which means it is 5 less than -5x.
If y is 5 less than -5x, that means it is equal to -5x-5.
If you were to put that in an equation, it would be y= -5x-5
How many solutions does this system have?
y =-3x. -9x-4y=21
one
two
an infinite number
no solution
Answers
Answer:
one or seven READ DESCRIPTION
Step-by-step explanation:
y =-3x. -9x-4y=21
-9x+12x=21
3x=21
3*7=21
if you didn't mean to do a double negative then it would be one, but otherwise it's seven
Answer:
one
Step-by-step explanation:
right on edge
Jonah is saving up to purchase a small flat screen television for his bedroom. he has saved $80, which is 64% of the total cost of the television. how much does the television cost?
Answers
Answer:
125 dollars
Step-by-step explanation: 80 times 100 over 64
125 x .64 = 80
y=8x+3y=8x+3y, equals, 8, x, plus, 3
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Only (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis
(Choice B)
B
Only (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis
(Choice C)
C
Both (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis and (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis
(Choice D)
D
Neither
Answers
Answer:
the answer is both
Step-by-step explanation:
just do It I checked
Answer:
the answer is C, both are correct
Step-by-step explanation:
Stan evaluated a function with a value and got 3 as the result. He wrote the entire process as a sentence: The function , when evaluated with , gives the value 3.
Answers
The function f(x) = x^2-1 when evaluated with 2, gives the value 3.
What is a function?A function can then be defined as a set of ordered pairs. Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
For the given situation,
Stan evaluated a function with a value and got 3 as the result.
For this statement, we can frame many functions with different inputs.
Let us consider the function,
(1) [tex]f(x)=2x-3[/tex]
Now substitute x = 3,
⇒ [tex]f(3)=2(3)-3[/tex]
⇒ [tex]f(3)=6-3\\[/tex]
⇒ [tex]f(3)=3[/tex]
(2) [tex]f(x)=x^{2} -1\\[/tex]
Now put x = 2,
⇒ [tex]f(2)=2^{2}-1[/tex]
⇒ [tex]f(2)=4-1[/tex]
⇒ [tex]f(2)=3[/tex]
Similarly we can make many functions that has the value 3 as the result.
Hence we can conclude that the function f(x) = x^2-1 when evaluated with 2, gives the value 3.
Learn more about functions here
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** GIVING BRAINLIEST, A THANK YOU AND A 5 STARS***
SIMPLE QUESTION,
VIEW PIC
Which 3 Dimensional shape does Zorniah make?
Rectangular Prism
Square Pyramid
Triangular PrisM
Triangular pyramid
*view picture* Please help
Answers
Answer:
a triangular pyramid
Step-by-step explanation:
I just folded it in my head
this is because you can see that there are 4 triangles stacked on each other so that would be in conclusion a triangular pyramid also I looked on google cause I’m an idiot.
please help!!!!!!!!!
Answers
Answer:
1) 1:100
2)200 ml
3) 1:50:100
Step-by-step explanation:
Egg to milk = 3:100 or 1:100
3:100=2:x x=200
Eggs to flour to milk=
3:150:300.
Or 1:50:100
Hope this helps plz mark brainliest :D
Select all the statements about the figure that MUST be true. Р Q 6n + 3 S 4n + 11 R PR=15 QS=21 QP=13 n=7 SR=27 QR=54
Answers
Answer:
Options (5) and (6)
Step-by-step explanation:
From the picture attached,
In right triangle ΔPSQ and ΔPSR,
PS ≅ PS [By reflexive property]
PQ ≅ PR [Given]
ΔPSQ ≅ ΔPSR [By HL property of congruence]
Therefore, QS ≅ SR [CPCTC]
(6n + 3) = (4n + 11)
6n - 4n = 11 - 3
2n = 8
n = 4
QS = (6n + 3)
= 6×4 + 3
= 27
SR = (4n + 11)
= 4×4 + 11
= 16 + 11
= 27
QR = QS + SR
= 27 + 27
= 54
Therefore, Options (5) and (6) are the correct options.
AGES Zack is 15 years old. This is 3 years younger than his brother Tyler.
How old is Tyler?
Answers
Answer:
18
Step-by-step explanation:
explanation : 15 + 3 = 18
Pls help me its due sooon
Answers
Answer:
nobody
Step-by-step explanation:
What is the value of c?
Answers
Trevon made 24 of the 40 free throws he attempted last season. What percent of his attempted free throws did Trevon make?
Answers
Answer:
60%
Step-by-step explanation:
24/40=0.6
0.6=60%
Answer:
60
Step-by-step explanation:
24:40×100=
(24×100):40=
2400:24=60
help me with this problem pls , 5/6 ÷ (-15 / 2) = ??.
Answers
Answer:
-1/9
Step-by-step explanation:
Answer:
Hi there your answer is -0.1 or -1/9
Step-by-step explanation:
You have to use pemdas so you start with parenthesis.
(-15/2)= -7.5.
Then, rewrite the equation so 5/6/-7.5.
5/6/-7.5= -0.1 or -1/9
Hope this helps!! Please consider marking brainliest!
What is 12 11/48 rounded to the nearest half A.12 B.12 1/2 C.13 D.13 1/2
Answers
Answer:
A.12
Step-by-step explanation:
The reason is that 11/48 is equal to 0.2239..., so when you round that answer, it is closer to 12.
In order to measure the height of a statue, Jill holds a square up to her eye and lines up each side with the top and bottom of the statue. If her eye is 5’2” above the ground and she stands 10 feet away from the statue, how tall is the statue?
Answers
GOOD LUCK! NYAYAYAYAYA
Question Progress
73%
b)
The table shows information about the numbers of hours 30 children
spent on their tablets one evening.
Number of hours (h) Frequency
0 << 1
6
1
13
2
7
3
4
a) Find the class interval that contains the median.
b) Work out an estimate for the mean number of hours.
Answers
Answer=
a= 2<h<3
b=2.2
a) The class interval that contains the median. is 1 ≤ h ≤ 2.
b) The mean number of hours is, 1.8 h
What is mean and median?The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. And, The median is the middle value in a list ordered from smallest to largest.
Now,
a) First find the median as,
Median = 30/2
= 15
Now, 6 + 13 = 19 > 19
So, The class interval that contains the median be 1 ≤ h ≤ 2.
b) Let us take the middle of the range as the average;
⇒ (6 × (1 - 0)/2 + 13 × (2 + 1)/2 + 7 ×(2 + 3)/2 + 4 × (3 + 4)/2 ) / 30
⇒ (3 + 19.5 + 17.5 + 14) / 30
⇒ 54/30
⇒ 1.8 hours
So, The value of mean is 1.8.
Learn more about mean and median visit:
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Write an equation that represents the line.
Use exact numbers.
Answers
Answer:
y = 5/6x + 2.5
Step-by-step explanation:
slope = m = rise/run
equation format - y=mx+b
slope/m= 5/6
y=5/6x+ the y-intercept
the y-intercept is at 2.5
so the full equation would be \/\/\/
y = 5/6x + 2.5
find the p(2) for each of the following functions 1.p(x) = -2x³ + 4x - 1 ?
Answers
Answer:
p(2) = -9
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
p(x) = -2x³ + 4x - 1
p(2) is x = 2
Step 2: Solve
Substitute: p(2) = -2(2)³ + 4(2) - 1Evaluate: p(2) = -2(8) + 4(2) - 1Multiply: p(2) = -16 + 8 - 1Add: p(2) = -8 - 1Subtract: p(2) = -9What was the mean number of peas in a pod
Answers
Answer:
6
Step-by-step explanation:
On average, green peas have 6-7 peas in the pod.
Hope this helps!
im not having a good day so maybe this will make someone elses a little bit better :) Heres 100 points.
Answers
Answer:
yo thank you man your the best
Tysm have a good day :)
Solve the equation. a4−56=−12 a=
Answers
Explanation is in the picture
You are locked out of your villa in Dubai and the only open window is on the second floor to get inside. You need to borrow a ladder from your neighbour. So you will have to propped up ladder against villa, since there is a bush along the edge of the house find the interior angles of the triangle formed to reach window and exterior angles on the ground. Justify your answer.
pls answer pls pls
Answers
Answer:
You are locked out of your villa in Dubai and the only open window is on the second floor to get inside. You need to borrow a ladder from your neighbour. So you will have to propped up ladder against villa, since there is a bush along the edge of the house find the interior angles of the triangle formed to reach window and exterior angles on the ground. Justify your answer.
pls answer pls pls
The following table shows the amount of lemon flavor and water needed in four punch recipes. Punch Recipes Lemon flavor Water Recipe 1 6 cups 3 gallons Recipe 2 3 cups 2 gallons Recipe 3 4 cups 2 quarts Recipe 4 1 cup 2 pints Which punch recipe has the least amount of lemon flavor per unit of water? (1 gallon = 4 quarts = 8 pints) recipe 1 recipe 2 recipe 3 recipe 4
Answers
Answer:
recipe 2
Step-by-step explanation:
Answer: /Here E N G E N U I T Y people/
Step-by-step explanation:
The equation 4(−2)=1004(−2)=100 is a true equation for a specific value of x. Explain why 2(−2)=502(−2)=50 is also true for the same value of x.
Answers
because it halves: 4 ----> 2 so the result also halves ( 1004:2=502 and 100:2=50 )
There is a new kids movie out that everyone is seeing. On the first night the theater sold 200 tickets total. Adult tickets are $8.50, child tickets are $3.50, and they made $1,500 dollars that night. How many adults and how many children saw the movie?
Answers
9514 1404 393
Answer:
160 adults40 kidsStep-by-step explanation:
Let 'a' represent the number of adult tickets sold. Then (200-a) is the number of child tickets sold. The total revenue is ...
8.50a +3.50(200 -a) = 1500
5a = 800 . . . . . . . . . . . . . . . . . . . subtract 700 and collect terms
a = 160
(200-a) = 40
160 adults and 40 children paid to see the movie.
Answer:
160 adults and 40 children saw the movie on the first night.
Step-by-step explanation:
Total number of tickets sold = 200
Let the total number of adults be 'x'
So, Total number of children = 200 - x
Cost of adult tickets = $8.50
Cost of child tickets = $3.50
Total sum made on first night = $1,500
Total sum made on first night is equal to total cost of adult tickets + total cost of child tickets
[tex] \longrightarrow [/tex] 8.50x + 3.50(200 - x) = 1500
[tex] \longrightarrow [/tex] 8.5x + 700 - 3.5x = 1500
[tex] \longrightarrow [/tex] 8.5x - 3.5x = 1500 - 700
[tex] \longrightarrow [/tex] 5x = 800
[tex] \longrightarrow [/tex] x = [tex] \sf \dfrac{800}{5} [/tex]
[tex] \longrightarrow [/tex] x = 160
[tex] \therefore [/tex] Total number of adults = 160
Total number of children = 200 - 160 = 40
