Please help! I am supposed to write a recursive and an explicit function for the geometric sequence but this one is really frustrating me. Thank you!
Answers
Step-by-step explanation:
Initially, there's only 1 letter.
Tania sends the letter to 4 friends.
Each friend sends a letter to 4 more friends (4 × 4 = 16).
Each of those friends sends to 4 more friends (16 × 4 = 64).
The pattern is 1, 4, 16, 64, etc.
This is a geometric sequence. The first term is 1 and each term is 4 times the previous term.
a₁ = 1
aₙ = 4 aₙ₋₁
The explicit formula is:
aₙ = 1 (4)ⁿ⁻¹
Related Questions
Is zero positive or negative?
Answers
Answer:
its nutral
Step-by-step explanation:
it is in between postive and negative like the barrior pretty much
what value of x makes the question true? 2x + 9 = 4x - 1
Answers
Answer:
5
Step-by-step explanation:
2x +9 =4x - 1
2x - 4x =-1 - 9
-2x=-10 /(-1)
2x=10
x=10 :2
x=5
The average July temperature in Texas is 99 degrees Fahrenheit. The actual July temperature for a city may be about 5 degrees hotter or cooler. Write an absolute value equation to find the minimum and maximum temperatures.
I forgot how to write absolute value equations plz help asap
Answers
Answer:
| x-99 | =5
Step-by-step explanation:
x equals the temperature on that day
Which set of ordered pairs does not represent a function?
\{(2, 7), (1, 7), (0, -8), (5, -1)\}{(2,7),(1,7),(0,−8),(5,−1)}
\{(-1, -9), (-5, -2), (8, 4), (-5, 2)\}{(−1,−9),(−5,−2),(8,4),(−5,2)}
\{(3, 1), (5, 5), (9, 8), (7, 6)\}{(3,1),(5,5),(9,8),(7,6)}
\{(2, 0), (1, -6), (4, 5), (-8, -6)\}{(2,0),(1,−6),(4,5),(−8,−6)}
Answers
Answer:
The second option
Step-by-step explanation:
There can NOT be a function when one x-value coordinate corresponds to multiple x-values. -5 is corresponding with two different y-values, -2 and 2.
Write 9 in scientific notation
Answers
5/6 x 48
You get 25 point if you answer
Answers
Answer:
40Step-by-step explanation:
5/6 x 48 =5 x 48/6 =5 x 8 =40Which cylinder pressure will Jillian need if she plans to fill 90 balloons?
Tank Pressure and Balloon Quantity
Pressure in the helium Number of 9-inch
cylinder (psi)
balloons
100
30
150
?
?
200
250
?
300
?
150
200
0 250
0 300
Answers
Answer:
C
Step-by-step explanation:
Because if she wants to fill 90 balloons 100 is 30 so multiply by 30×3 and u get 90
Answer: 300
Step-by-step explanation:
i took the test and got it right
The difference
between two and a
number, multiplied by
five
i need help putting it into an equation
example:two added to three x
3x+2
Answers
Wyoming has 63,791 fewer people than Washington DC has. What is the population of Washington DC? Wyoming has 582,658 people total.
Answers
Answer:646449
Step-by-step explanation:You can use a calculator if Wyoming has 63781 fewer people than Washington you have to add that number to Wyoming’s population to get Washington’s
Anybody know this answer?
Answers
Answer:
x = 29
Step-by-step explanation:
The sum of the 3 angles is 180 degrees since it is a straight line
x-1 + 3x+2 + 2x+5 = 180
Combine like terms
6x +6 = 180
Subtract 6 from each side
6x+6-6= 180-6
6x =174
Divide y 6
6x/6 =174/6
x = 29
Answer:
it's 29
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Will give brainliest
Answers
Answer:
-6/3= -2
3/-6= -1/2 they are not equal. So false
-8*9= -72
9*-8= -72 They are equal. So true
hope this helps!
CALCULATOR COLOR THEME 0 ZOOM 2. Danielle wants to translate triangle XYZ so that vertex Yis mov (-4,2) to (0,-3). Which of the following mappings can be used to coordinates of Xand Z?
Answers
Answer:The answer is (x,y)->(+4,y-5)
Step-by-step explanation:
since -4 to 0 is + 4 and 2 to -3 is -5
The correct mapping is (x, y) ⇒ (x + 4, y - 5)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point up, down, right or left in the coordinate plane. If a point A(x, y) is moved a units right and b units down, the new location would be at A(x + a, y - b).
Since the vertex Y(-4, 2) was translated to Y'(0, -3), hence the triangle was translated 4 units to the right (-4 + 4 = 0) and 5 units down (2 - 5 = -3). This can be represented by the mapping:
(x, y) ⇒ (x + 4, y - 5)
Therefore to find x and z coordinates, use the mapping:
(x, y) ⇒ (x + 4, y - 5)
Find out more at: https://brainly.com/question/18249265
Luna mixes 3/4 of orange juice with 3/8 cup of cranberry juice. She gives 5/8 cup of the juice to Mags. How much is left in Lunas glass?
Answers
Answer:
Luna has half a cup (1/2) (0.5) left in her cup
Step-by-step explanation:
3/4+3/8=1.125 1.125-5/8 of a cup=0.5
My brother is wondering what 100÷1,000,000 equals.
Thanks to the patient person who answers this!
Answers
Answer:
0.0001
Step-by-step explanation:
Answer: tell your brother 0.0001
Step-by-step explanation:
To which family does the function y = (x + 2) Superscript one-half Baseline + 3 belong?
quadratic
square root
exponential
reciprocal
Answers
Answer:
option b: square root
Step-by-step explanation:
just got correct on edge 2020
The family of the function belongs to square root.
We can solve this by understanding some types of functions
What is Function?This is an expression that relates two variable to one another.
In this question, we are looking for the family of the equation.
The function given is
[tex]y = (x + 2)^\frac{1}{2} + 3[/tex]
The options given here are
quadraticsquare rootexponentialreciprocalWhat is a quadratic equation?This is a polynomial that the variable have the highest power of 2. An example of this is [tex]y = ax^2 + bx + c[/tex]
What is a square rootThis a function in which the variable is a square root to the main function.
An example of this is [tex]y = \sqrt{x}[/tex]
What is an Exponential FunctionThis is a function in which one of the variable has an exponential function to the other. An example of this is [tex]y = 2e^x[/tex]
What is a Reciprocal FunctionThis is a function in which one of the variable is inverse to the other one. An example of this is [tex]y = \frac{1}{x}[/tex]
From the above explanation, we can see that the function
[tex]y = (x + 2)^\frac{1}{2} +3\\y = \sqrt{x+2} + 3[/tex]
is a square root function
Learn more on functions here;
https://brainly.com/question/15602982
Lines x and y are parallel. Write an equation that represents the relationship between b and e. Explain how you know this equation is always true. Your explanation should use AT LEAST TWO of the following terms: vertical angles, corresponding angles, congruent, supplementary.
please help
Answers
Answer:
m∠b + m∠e = 180°
Step-by-step explanation:
Lines x and y are the parallel lines and a transversal line is intersecting these lines.
∠b ≅ ∠h [Vertical angles]
∠h ≅ ∠f [Corresponding angles]
Therefore, ∠b ≅ ∠f [Congruent angles]
m∠f + m∠e = 180° [Supplementary angles]
m∠b + m∠e = 180° [Since, ∠b ≅ ∠f]
Therefore, equation representing the relation between ∠b and ∠e is,
m∠b + m∠e = 180°
The required equation that represents the relationship between b and e is m<b + m<e = 180
From the given diagram, we can see that the line x and y are cut by a transversal. This shows that the following statements are true;
m<b and m<g are supplementary i.e m<b + m<g = 180
Also m<b and m<f are equal (alternate interior angle)
m<b = m<d (vertically opposite angle)
Also, since m<d and m<e are supplementary angles (angle on a straight line), then m<b and m<e are also supplementary
Hence the required equation that represents the relationship between b and e is m<b + m<e = 180
Learn more here: https://brainly.com/question/22309882
Martina opens a savings account with an initial deposit and makes no other deposits or withdrawals. She earns interest on her initial deposit. The total amount of money in her savings account at the end of each year is represented by the sequence shown.
100, 105, 110.25, ...
Which recursive formula can be used to determine the total amount of money earned in any year based on the amount earned in the previous year?
A. f(n + 1) = f(n) + 5
B. f(n + 1) = 5f(n)
C. f(n + 1) = 1.05f(n)
D. f(n + 1) = 0.05f(n)
Answers
1.05 should be it
Step-by-step explanation:
In a recursive formula, each term of the sequence is found by using the previous term. In this case, the sequence is geometric because we are multiplying each term by the same constant, called a common ratio.
To find this common ratio, we find the percent of change between terms. We do this by using the formula
% change = (amount of change)/(original amount)
The amount of change between the first two terms is 105-100 = 5. This makes the percent change
5/100 = 0.05
The amount of change between the second two terms is 110.25-105 = 5.25. This makes the percent change
5.25/105 = 0.05
However, the common ratio in the sequence is not 0.05. This is because multiplying by this decimal would make the terms decrease instead of increasing. In this case, we are taking 100% of the number and adding an extra 5% (0.05 = 5%); this makes our common ratio 105% = 1.05.
This gives us the recursive formula
Answer:
the correct answer is C. f(n + 1) = 1.05f(n)
Step-by-step explanation:
just got it right 2020 edg
What is the slope of a line which passes through the points (-6, 4) and (4, 6)?
A) 5
B)1/5
C)2
D)1/2
Answers
Answer:
1/5
Step-by-step explanation:
To find the slope between two points, we use the formula
m = ( y2-y1)/(x2-x1)
= ( 6-4)/(4 - -6)
= ( 6-4)/(4+6)
= 2/10
= 1/5
At noon the temperature was -10° F. Over the next 4 hours the temperature went up 12°. Then every hour until 10 pm the temperature dropped 2°. What was the temperature at 10 pm?
Answers
Answer:
-10 degrees
Step-by-step explanation:
at noon the temp was -10. -10 + 12 = 2 and that is at 4 o'clock 2- 6 hours ( time until 10 pm) x 2. 2 - 12 = -10.
Answer: 0º F.
Step-by-step explanation:
Noon = 12 pm
At Noon it was -10º F, over the next 4 hours it went up to 12º F.
Noon + 4 hours = 4 pm
The temperature dropped 2º F every hour until 10 pm which means for 6 hours the temperature dropped.
6x2º F = 12º F which means the temperature dropped by 12º F.
12º F - 12º F = 0º F
which table has a constant of proportionality between y and x of 2
Answers
Answer:
B for Khan Academy.
Step-by-step explanation:
Answer:
The answer is B for Khan Academy
Step-by-step explanation:
I just got it right.
PLEASE GOD IM BEGGING YOU LEGITMENTALLY ANWERS THIS QUESTION
Answers
Answer: we can not see the question
HELP ME PLS ITS DUE SOON
Answers
Answer:
B
Step-by-step explanation:
Jessica had 167 dollars to spend on 6 books. After buying them she had 17 dollars. How much did each book cost ?
Answers
Answer:
6 $
Step-by-step explanation:
167$-17$=150$cost 6 books
150 $:6 =25$cost a book
The following triangles are congruent because ?
Answers
Answer:
Step-by-step explanation:
The triangles are congruent because they are the same shape, size, and angle measure. The lines on the angles show that two angles have the same measure. The line on the line segments shows that it hads the same length.
Helppppp with angles
Answers
Answer:
61
Step-by-step explanation:
8 and 11 are corresponding angles. therefore they add up to 180.
so, 180-119 = 61
Answer:
61 degrees,
since 8=1 and 1=5, 5+11=180, 5=119 then 11 should equal 61
help me please!! Slope
Answers
2. Y=-1/2+b
3. Y=-3/3+b
4. I can’t quiet remember how to do sorry :/
if x=4 and y=1 then what is 3x + y + 2x squared minus 3 + y
Answers
Answer:
I think it is 73
Answer: 439
Step-by-step explanation:
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5).
What is the x-intercept?
Answers
Answer:
-4
Step-by-step explanation:
Answer:
The answer is -4
Step-by-step explanation:
just took it
The equation represents Function A, and the graph represents Function B:
Function A f(x) = 6x - 1
Function B graph of line going through ordered pairs 1, 4 and negative 1, negative 2 and negative 2, negative 5
Which equation best compares the slopes of the two functions?
(A) Slope of Function B = 2 x Slope of Function A
(B) Slope of Function A = Slope of Function B
(C) Slope of Function A = 2 x Slope of Function B
(D) Slope of Function B = − Slope of Function A
Answers
Answer:
C. Slope of Function A = 2 x Slope of Function B
Step-by-step explanation:
The slope of function A is the x-coefficient: 6.
The slope of function B is ...
... slope = (change in y)/(change in x) = (-2-4)/(-1-1) = -6/-2 = 3
6 is 2 times 3
Mr. Hill wants to plant a rectangular garden in his backyard. He has 50 feet of fence to enclose his garden. He wants the length to be 5 feet more than the width. Write the equation that you would use to solve this problem and use your equation to find the dimensions.
What are the dimensions, in feet, of the garden?
What is the equation that you wrote to determine the width, x, of the garden?
Answers
Answer:
PERIOD POOOOOOOOOOOOOOO
Step-by-step explanation: