Answer:
Hope this image helps answer your question
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The recursive formula is aₙ= aₙ₋₁ /2 for n > 1.
What is Recursive Formula?A recursive formula is a formula used to describe a sequence of numbers, where each term in the sequence is defined in terms of the preceding term(s). In other words, it is a formula that uses one or more of the previous terms in the sequence to generate the next term.
The recursive formula for a sequence gives a way to find any term of the sequence using the previous term(s).
To find the recursive formula for the sequence 18, 9, 4.5, ..., we need to look at how each term is related to the previous term.
We can see that each term is half of the previous term, so the recursive formula is:
a₁ = 18 (the first term is given)
aₙ= aₙ₋₁ /2 for n > 1
This means that to find the nth term of the sequence, we divide the (n-1)th term by 2. For example:
a_2 = a_1/2 = 18/2 = 9
a_3 = a_2/2 = 9/2 = 4.5
a_4 = a_3/2 = 4.5/2 = 2.25
and so on.
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Hello, please, I need the answers!! Each year a school booster club holds a dance to raise funds. In the past, the profit of the club makes after paying for the bank and other costs has been modeled by the function p(t) = -16t^2 - 800t - 4000 where t represents the ticket price in dollars. a. What ticket price gives the maximum profit? b. What is the maximum profit? c. What ticket prices would generate a profit of $5000?
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
16t^2 + 800t + 9000 = 0
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
t^2 + 50t + 562.5= 0
Factorize
-50±√2500-4(562.5)/2
t = -50±√2500-2250)/2
t = -50±15.81/2
t = -65.81/2 and -34.19/2
t = -32.91 and -17.09
help pls i’ll give out extra points
Answer:
The answer is similar, AA similar.
Step-by-step explanation:
The triangles are obviously similar; but we only know that because of the two identical angles. (AA)
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When finding the common denominator between fractions, which value can be helpful, GCF, or LCM? How?
Answer:
The answer would be GCF because when you finding the common denominator GCF is how you do it. at least thats what I do and I got it right! :p
hope this helps! :) I don't really know how to explain lol
I don’t understand this please help
Answer:
2
Step-by-step explanation:
The answer is "The graph is incorrect. He should have shaded ro the right"
Make a table of ordered pairs for the equation.
y= -1/3x+1
Then plot two points to graph the equation.
It’s a 10 by 10 graph and it has 4 areas
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: -1/3
Y-Intercept: (0,1)
(17) 60% of what is 24?
Answer:
Step-by-step explanation:
24*60%= 14.4
Answer:
14.4
Step-by-step explanation
3/5 x 24
3/5 x 24/1
3/5 x 24/1=3x24
5 x 1
= 3 x 24
5 x 1
72
5 x 1
72/5
what you do after that is you divide 72 and 5
72/5 = 14.4
so you answer is 14.4
hope this is right
How can ΔABC be mapped to ΔXYZ?
First, translate vertex A to vertex
.
Next,
ΔABC to align the sides and angles.
Answer:
X
Rotate
Step-by-step explanation:
correct on edge 2020
Answer:
a. x
c. rotate
Step-by-step explanation:
edge2021 :)
An object's velocity can be described by its acceleration and direction.
true or false
Answer: False
Step-by-step explanation:
hope it helped xx
Help please:))))))))))))))))))))
Answer:
option 4; 0
Step-by-step explanation:
[tex]f(x) = \left \{ {{2x + 7; x<1 } \atop {10 - 5x; x \geq 1}} \right.[/tex]
Substitiute in "2" for "x".
Since "2" is greater than "1", then the second equation must be used.
Substitute in "2" of "x".
10 - 5x
10 - 5 * 2
10 - 10
0
Option 4 is 0.
Pentru a culege nectar 45 de albine au vizitat, intr-o singura exeditie, unele 60 flori, iar altele 75 de flori . Stiing=d ca au vizitat imreuna 3120 de flori , sa se afle cate albine au vizitat cate 75 de flori.
Please only answer if you know the answer
Don’t say dumb stuff or just lie and about the answer or just put Radom words please
An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 60°. The measures of the other interior angles are in the ratio 1 ∶ 7. What are the measures of the other interior angles?
Answer:
The measures of the other interior angles are 15° and 105°
Step-by-step explanation:
The given parameter of the measures of the interior angles of the triangle are;
The measure of one of the interior angle of the triangle = 60°
The ratio of the measure of the other interior angles = 1 : 7
Let the x represent one of the other interior angles and y represent the third interior angle, we have;
x + y = 180 - 60 = 120
x : y = 1 : 7
x = 1 part of 8 parts of 120°
y = 7 parts of 8 parts of 120°
Therefore;
x = 1/(1 + 7) × 120 = 1/8 × 120° = 15°
x = 15°
y = 7/(1 + 7) = 7/8 × 120° = 105°
y = 105°
The measures of the other interior angles are 15° and 105°.
solve for x -2(-x+1)+3x+3=26
Answer:
[tex]x=4.16[/tex]
Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons. What is the correct portion to solve this problem?
Answer:
3/4=n/8
Step-by-step explanation:
An equation to represent the given scenario is 3/4 = n/8. Therefore, option A is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, mix 3 liters of water with 4 lemons to make lemonade.
Let n be the number of liters of water mixed with 8 lemons.
So, an equation is 3/4 = n/8
3/1 = n/2
n=6
Therefore, option A is the correct answer.
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How can you use x- and y- intercepts to graph an equation
Answer:
Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. This method of finding x- and y-intercepts will be used throughout our study of algebra because it works for any equation.
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The next model of a sports car will cost 14.1% less than the current model. The current model costs $55,000 . How much will the price decrease in dollars? What will be the price of the next model?
Answer:
$3900.71 is the amount of money subtracted from the next model
51099.29 is the cost of the second model
Step-by-step explanation:
Enter values for X and Y in the table to plot points in the graph
Answer:12,16
Step-by-step explanation:
Answer:
16,28. 4,16. I'm not sure though
Use the slope-intercept form to graph the equation y=3/7x+3
Answer:
here you go
Step-by-step explanation:
The cube of a negative number divided by the square of 5 times a number
Answer:
finding a cube of a negative number will always be negative , just as the cube of a positive number will always be positive
Step-by-step explanation:
after eating at a restaurant the bill for your table is $62.50. There is a 6% sales tax and you want to leave a tip for 18% based on the pre-tax amount. How much money do you need to cover your final bill?
Answer:
Step-by-step explanation:
Your bill is $62.50
$62.50 * .06 = $3.75 (this is your sales tax added)
So your total is up to: $66.25
Adding the tip the same way using $66.25 *.18 = $11.93
Tip would be $11.93
Total coming to: $78.17
hope this helps
Answer:
$77.50
Step-by-step explanation:
Tax:
62.50x0.06= 3.75
3.75+62.50= 66.25
Tip:
62.50x0.18= 11.25
Answer:
66.25+11.25= 77.50
solve for w and simplify this fraction 3/2w=-20
Answer:
4 2/3
Step-by-step explanation:
Answer:
w = -1.3 (.3 repeating)
Step-by-step explanation:
3/2w = -20
3/2w time 2/3 (flip to get rid of fraction)
- 20 time 2/3 (what you do to one side, you must do to the other side)
w = 1.3 (.3 repeating)
1.3 as a fraction is 4/3
Help please? Will mark correct and first answer as brainliest!! : )
Answer:
It Is O. 8
Step-by-step explanation:
Because you are suppose to round the number to the one in front of the other number
83/100 83%
.......................
five hundred fifty five divided in five
Answer:
Well I'm not sure if its a joke but here is the answer anyways LOL Its 111
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
If you think about it, 5 ÷ 5 = 1
So all the digits are 1
111
(Plus I just used a calculator)
Hope I helped :)
PLEASE ANSWER!! TIME LIMITED!! Use the gfc and the distributive property to find the expression that is equivalent to 36 + 48
A. 6(6+8)
B. 4(9+12)
C. 12(3+4)
D. 2(18+24)
Write the inequality for each sentence
The difference of a number and six is no less than 15
25 plus a number is at least 13
g decreased by 25 is at most five
Answer:
a) The difference of a number and six is no less than 15
x - 6 ≥ 15
b) 25 plus a number is at least 13
25 + x ≥ 13
c) g decreased by 25 is at most five
g - 25 ≤ 5
Step-by-step explanation:
a) The difference of a number and six is no less than 15
Let the number be represented by x
We difference is involved in a mathematics question, it requires the application of Subtraction operation, hence:
x - 6 ≥ 15
b) 25 plus a number is at least 13
Let the unknown number be represented by x
When at least is used in Mathematics, is means greater than or equal to a particular value,
Hence,
25 + x ≥ 13
c) g decreased by 25 is at most five
At most means less than or equal to a particular value, hence:
g - 25 ≤ 5
Which of the number(s) below are potential roots of the function? q(x) = 6x3 + 19x2 – 15x – 28
Answer:
±2/3, ±7/2, ±14
Step-by-step explanation:
edge:) 2020
Answer: ±2/3, ±7/2, ±14
Step-by-step explanation: edge 2020
Which of the following describe 4/8
Answer:
4/8 is one half.
Step-by-step explanation:
4/8 -- 4 goes into both the numerator and denominator -- 4 goes into 4 one time and 4 goes into 8 two times.
Therefore, you have 1/2.
Answer:
4/8=.5 or 1/2
Step-by-step explanation:
4/8 can be reduced to 1/2
FIND THE QUADRATIC FUNCTION DETERMINED BY EACH TABLE
X -2 -1 0 1 2 3
Y 4 0 -2 -2 0 4
Answer:
x² - x - 2 = 0
Step-by-step explanation:
plotting the graph of x and y,we have that the root of the equation is -1 or 2
x = -1 or 2
the eqn therefore is;
x² - (sum of the root)x + (product of the root) =. 0
x² - (-1+2)x + (-1*2) = 0
x² - x - 2 = 0
Applying the Factor Theorem, it is found that the quadratic function is:
[tex]p(x) = x^2 - x - 2[/tex]
------------------------
The Factor Theorem states that if a polynomial [tex]p(x)[/tex] has roots [tex]x_1, x_2, ..., x_n[/tex], it is described by the following equation:
[tex]p(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]
In which a is the leading coefficient.
For this quadratic function, the roots are [tex]x_1 = -1, x_2 = 2[/tex], as [tex]y(-1) = y(2) = 0[/tex], thus:[tex]p(x) = a(x - (-1))(x - 2)[/tex]
[tex]p(x) = a(x + 1)(x - 2)[/tex]
[tex]p(x) = a(x^2 - x - 2)[/tex]
When x = 0, p(x) = -2, and we use this to find a.
[tex]p(x) = a(x^2 - x - 2)[/tex]
[tex]-2 = a(0^2 - 0 - 2)[/tex]
[tex]2a = 2[/tex]
[tex]a = \frac{2}{2}[/tex]
[tex]a = 1[/tex]
Thus, the quadratic function is:
[tex]p(x) = x^2 - x - 2[/tex]
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John want to move from point A to point B. To avoid the pond he must walk 36 m south and 49 m east. However he wants to go through the pond in order to save time. To the nearest meter calculate how many meters would be saved if John rows a boat across the pond?
Answer:
60.80
Step-by-step explanation:
What is 0.74 + (-3/5)
Answer:
It equals 0.14
Step-by-step explanation: