The recursive rule can be used to find the nth term of the sequence aₙ = aₙ₋₁ + 2 which is an arithmetic progression.
What is arithmetic progression ?
Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence
From the given sequence we see that:
Common difference is 2
Find the first term:
a₁ + (n-1)d = aₙ
a₁ + 3*2 = a₄
a₁ + 6 = 2
a₁ = -4
The recursive formula for this sequence is:
a₁ = -4
aₙ = aₙ₋₁ + 2
Learn more about recursive rule at:
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There are 18 eight graders, 12 seventh graders, and 9 6th graders on the middle school football team. What is the ratio of 6th graders to total players, in lowest terms?
Answer:
18:39 or 6:13
Step-by-step explanation:
Answer:
3:13
Step-by-step explanation:
the total number of players is 39
the number of 6th graders is 9
the ratio of 6th graders to total players is 9:39
=3:13
Make a graph equation with Y-X = 5
You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 5 and flipping heads? Write your answer as a fraction in simplest form. The probability is .
5.
Draw a scatter plot that shows a negative association that is not linear.
Peter says that 3/4 of a pizza is always the same as 6/8 of a pizza. Nadia says that while they are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts. Use a counter example to explain who is correct. Please I need your help. If you help you are nice and god will protect you forever.
Answer:
Nadia
Step-by-step explanation:
6/8 is 3/4 and both are 75% of a pizza but, the eighths of a pizza is a smaller slice of pizza.
4/4 is four slices of pizza
8/8 is eight slices of pizza
They are different amounts.
The area of a round table in Kim's living room is 201 square inches. What is the circumference of the round table in inches?
Use 3.14 for π and round to the nearest hundredth of an inch if necessary
A. 8
B. 25.12
C. 50.24
D.100.48
Answer:
A. 8
Step-by-step explanation:
You must take the area and divide it by [tex]\pi[/tex]
201 divided by 3.14
Then take the number you got
201 divided by 3.14 = 64.0127388535
Then find the square root of that number
[tex]\sqrt 64.0127388535[/tex] = 8.000796139
Simplify & you get 8.
What is the equation of the line that passes through (5,-2) and (-3, 4)?
3x+4 y-7= 0
3x-4 y-7= 0
0-3x+4 y-7 = 0
please someone help me!!! I don’t really understand what the question is asking! Plz no links, we all know they don’t help. If someone answers clearly, then i’ll give the crown to that person!
Answer:
D=360 M=288 V=648
Step-by-step explanation:
1
A bag contains 10 red, 10 blue, 10 green, and 10 yellow M&Ms. An M&M is randomly pulled from the bag and replac
Outcome
Trial
Observed
yellow
2
blue
yellow
red
5
blue
yellow
yellow
3
4
6
7
Which color's observed frequency is closest to its expected frequency?
red
blue
green
O yellow
Answer:
Blue
Step-by-step explanation:
Expected frequency is:
red 10/40 = 1/4 = 0.25 = 25%
blue 10/40 = 1/4 = 0.25 = 25%
yellow 10/40 = 1/4 = 0.25 = 25%
green 10/40 = 1/4 = 0.25 = 25%
Observed Frequency is:
red 1/7 = 0.14 = 14%
blue 2/7 = 0.28 = 28% √
yellow 4/7 = 0.57 = 57%
green 0/7 = 0.00 = 0%
Mrs. Hooper teaches piano lessons 5 days a week. She teaches for a total of 3 hours per day. How many minutes does she teach each week?
Answer:
900 minutes a week
Step-by-step explanation:
60 minutes makes one hour
3 hours multiplied by 60 minutes is 180 minutes
180 minutes multiplied by 5 days is 900 minutes
Step-by-step explanation:
3 hours *60 minutes= 180 minutes
And if he teaches for 180 mins a day, then in 5 days he will teach:
180 mins*5 days= 900 mins
Which expression is equivalent to -6 - (-2)−6−(−2)minus, 6, minus, left parenthesis, minus, 2, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A -6+2−6+2minus, 6, plus, 2 (Choice B) B 2+62+62, plus, 6 (Choice C) C -6+(-2)−6+(−2)minus, 6, plus, left parenthesis, minus, 2, right parenthesis (Choice D) D -2 + 6−2+6
Answer:
(Choice A) A -6+2; minus, 6, plus, 2
Step-by-step explanation:
Which expression is equivalent to -6 - (-2); minus, 6, minus, left parenthesis, minus, 2, right parenthesis? Choose 1 answer: Choose 1 answer:
(Choice A) A -6+2; minus, 6, plus, 2
(Choice B) B 2+6; 2, plus, 6 (Choice C) C -6+(-2); minus, 6, plus, left parenthesis, minus, 2, right parenthesis
(Choice D) D -2 + 6
Given expression:
-6 - (-2)
Note:
- * - = +
+ * + = +
- * + = -
+ * - = -
-6 - (-2)
= -6 + 2
= -4
The correct answer is (Choice A) A -6+2; minus, 6, plus, 2
Given a polynomial f(x), if (x − 3) is a factor, what else must be true?
f(3) = 0
f(−3) = 0
f(0) = 3
f(0) = −3
Answer:
A
Step-by-step explanation:
Recall that according to the Polynomial Remainder Theorem, if we divide a polynomial f(x) by a binomial in the form (x - a), then the remainder will be f(a).
And by the Factor Theorem, in order for a binomial (x - a) to be a factor of a polynomial f(x), the remainder must be 0. In other words, f(a) = 0.
We are given a polynomial f(x) and that (x - 3) is a factor.
Therefore, a = 3.
And since it is a factor, by the Factor Theorem, the remainder must be 0.
Therefore:
[tex]f(3)=0[/tex]
The answer is A.
Answer:f(−3) = 0
Step-by-step explanation:took test
les diviseurs de 25 sont des diviseurs de 15. Vrai ou faux?
Answer:
c'est faux parce que 3 n'est pas un diviseur de 25 et c'est pour 15 so not all divisor of 25 sommes diviseur de 15
Do anyone know this? Please no link <3
Answer:
40 cm
Step-by-step explanation:
Perimeter = the sum of all sides
Triangle GHK has an area of m square units. If the height of the triangle is increased to five times the current height, and the length of the base increased to four times the current length, what will be the area of the larger triangle?
Answer:
20m square units
Step-by-step explanation:
The area of a traingle = bh/2............... Equation 1
Where b = lenght of the base, h = heigt of the triangle.
From the question,
The area of triangle GHK = m square units., let the base and the heigth of the triangle be x and y respectively
Therefore,
b = x, h = y
Substitute these values into equation 1
m = xy/2................... Equation 2
If the height of the triangle increase to five times the current height, and the length of the base increase to four times the current length.
Therefore,
height of the larger triangle = 5y, base of the larger triangle = 4x
Substitute these values into equation 1
Area of the larger triangle = (5y×4x)/2
Area of the larger triangle = 20xy/2................. Equation 3
Substitute equation 2 into equation 3
Area of the new triangle = 20m square units.
Please help!!!
Evan drops a ball vertically from a height of 100 ft. The peak height after each bounce is half the previous
height. How many feet does the ball travel from the time he drops the ball until it reaches the peak height
after the 5th bounce? Show all steps used to find the solution.
Answer:
150
Step-by-step explanation:
Between which two integers does [tex]\sqrt{11}[/tex] lie?
[tex]\sqrt{11}=3.31(appx)[/tex]
3.31 lies b/w 3 and 4
Answer:
[tex]\sqrt{11}[/tex] lies between 3 and 4.
8. Evaluate the expression (ab)^2 for a = 4 and b = 3.
What is the decay factor that corresponds to a 10% decrease?
10
C. 90
b. 0.10
d. 0.90
Answer:
10
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
0.90
A musician spends 90 minutes practicing piano and guitar the time spent is 30 minute less than twice the same time spent on guitar which could be a way to find t the time in minutes spent practicing guitar
Answer:
The which spends on the piano is( 50 minutes )
The which spends on the guitar is( 40 minutes )
Step-by-step explanation:
The steps of the solution in the above photo
I hope that is useful for you :)
wich is greater 15 or X
Answer:
x is greater then 15 free nbayoung boy
ANSWER QUICK
A backpack is on sale for 15% off the original price of $39.99. What is the sale price?
Answer:
33.99
Step-by-step explanation:
multiply the original by 100-the sale percentage
(100-15 = 85
.85x39.99
Answer:
$33.99
Step-by-step explanation:
We are given that we have 15%.
What this means is that we subtract 15% from 100%.
Doing that we get 1.00 - 0.15 = 0.85
Therefore the price equals $39.99 * 0.85
The final price is $33.99
Can someone PLEASE HELP
How many teachers are there in your school? How many male teachers and female
teachers are there?
I) Write the ratio of male teachers to the female teachers.
ii) Write the ratio of male teachers to the total number of teachers.
iii) Write the ratio of total number of teachers to the female teachers.v
why are you sad please don't worry I will tell you what to do with me now you know I am what
Round the number to the nearest ten place:
1823
Answer:
1820
Step-by-step explanation:
4 or less let it est 5 or more round up
A paper container in the shape of a right circular cone has a radius of 3 inches and a height of 8 inches. Determine and state thr number of cubic inches in the volume of the cone, in terms of π.
Given:
Radius of the cone = 3 inches
Height of the cone = 8 inches
To find:
The volume of the cone, in terms of π.
Solution:
We know that, the volume of a cone is:
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Putting [tex]r=3,h=8[/tex], we get
[tex]V=\dfrac{1}{3}\pi (3)^2(8)[/tex]
[tex]V=\dfrac{1}{3}\pi (9)(8)[/tex]
[tex]V=\dfrac{72}{3}\pi [/tex]
[tex]V=24\pi [/tex]
Therefore, the volume of the cone is [tex]24\pi[/tex].
After winning a soccer game, the coach took the team out for ice cream cones. He spent $21 on 12 single-scoop ice cream cones. If all the ice cream cones cost the same amount, what was the cost of one ice cream cone?
Answer:
Unitary cost= $1.75
Step-by-step explanation:
Giving the following information:
He spent $21 on 12 single-scoop ice cream cones.
To calculate the unitary cost, we need to use the following formula:
Total cost= number of units*unitary cost
Unitary cost= total cost / number of units
Unitary cost= 21 / 12
Unitary cost= $1.75
Rewrite 12/5
as a mixed number.
Answer:2 2/5
Step-by-step explanation:
answer
2 2/5
Explanation
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
Solve-2(x – 4)2 – 3 = 15 by using the square root property.
Answer:
[tex]x = -\frac{1}{2}[/tex]
Multiply.
(x+3)(2x+4)
A
3x2 + 7x + 12
B
2x2 + 7x + 12
C
3x2 + 10x + 12
D
2x2 + 10x + 1
Answer:
2x²+10x+12
Step-by-step explanation:
2x²+4x+6x+12
2x²+10x+12