Alex started a new social media account, which he uses to post pictures of cute animals. On the first day, he had only 8 followers. However, his account became popular very quickly and his number of followers tripled every day. Identify the recursive function that gives the number of followers he has after n days.
Answers
Answer:
[tex]T_n = 3T_{n-1}[/tex]
Step-by-step explanation:
Given
[tex]T_1 = 8[/tex] -- First term
[tex]r = 3[/tex] --- rate
Required
Determine the recursive term
We have:
[tex]T_1 = 8[/tex]
The second term to the nth term is:
[tex]T_2 = T_1 * 3 = 8 * 3 = 24[/tex]
[tex]T_3 = T_2 * 3 = 24 * 3 = 72[/tex]
[tex]T_4 = T_3 * 3 = 72 * 3 = 216[/tex]
Using the above yardstick:
[tex]T_n = T_{n-1} * 3[/tex]
[tex]T_n = 3T_{n-1}[/tex]
Answer:
4.Let the required function be denoted by f(n) , where n denotes the nth day after Alex started a new social media account.
On day 1, the number of Alex’s followers is 8. Hence f(1) = 8.
Subsequently, the number of Alex’s followers tripled every day. Hence f(n) = 3f(n-1) when n > 1.
Thus, the recursive function is
f(1) = 8
f(n) = 3 f(n-1) if n > 1.
Option D is the correct answer.
Step-by-step explanation:
Related Questions
What is the last digit of 777^777?
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Answer:
7 I. guessing oh wait nah its fish
Jason keeps track of the money he earns and spends in the table below. A positive number
means money earned. A negative number means money spent. Which list shows the
amounts in dollars ordered from least to greatest?
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Please help me !!!!!!
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Answer:
A
Step-by-step explanation:
Hope it helps!
Answer:
i think its b
Step-by-step explanation:
What is the area of the shaded region?
(25/1 - 48) cm
(2571 - 30) cm
(2572 - 24) cm
(2571 – 12) cm2
Answers
Answer:
Option (3)
Step-by-step explanation:
From the figure attached,
Area of the shaded region = Area of circle - (Area of the ΔOAB + Area of ΔOED)
Area of the circle = πr²
= π(5)²
= 25π cm²
Area of ΔOAB = 2(Area of ΔOCB)
AB = 6 cm
OC = 5 - 1 = 4 cm
By applying Pythagoras theorem in ΔOCB,
OB² = OC² + BC²
5² = 4² + BC²
BC² = 25 - 16
BC = √9 = 3 cm
Area of ΔOCB = [tex]\frac{1}{2}(OC)(BC)[/tex]
= [tex]\frac{1}{2}(4)(3)[/tex]
= 6 cm²
Area of ΔAOB = 2(6) = 12 cm²
Area of ΔAOB = Area of ΔDOE = 12 cm²
Area of shaded region = 25π - (12 + 12)
= (25π - 24) cm²
Therefore, Option (3) will be the answer.
Estimate the quotient 19 4/5 • 4 5/8
Answers
Answer:
-0.1692
Step-by-step explanation:
use your cakculator
Write an equivalent expression to x-9y+ 4.
Choose the correct answer below.
OA. X-9y+4 = 4(x - 9y + 1)
OB. X-9 + 4 = x-(-9y) + 4
OC. X-9y + 4 = x +4 +9y
OD. X-9y+ 4 = x +4+(-9y)
Answers
PLEASE HELP ME~!!!!!!!
Answers
Answer: y= 5x + 3
Step-by-step explanation:
Lol literally so easy when you understand it so:
the formula for slope intercept form is:
y= mx + b
in this case just plug in the values
hope this helps ;)
also can I get brainliest pls?
this is a part of science too so pleae help
Answers
this is velocity because it gives u both displacement over time and direction
Please help it’s due in 10 minutes
I will also venmo you $5
Answers
Answer:
[tex] \arc{PNM} = 222 [/tex]
Step-by-step explanation:
Central angle = measure of the arc it subtends
Therefore:
[tex] \arc{PN} = \arc{PM} = 138 [/tex]
A full circle = 360°
So,
[tex] \arc{PN} + \arc{PM} + \arc{NM} = 360 [/tex]
Plug in the values
[tex] 138 + 138 + \arc{NM} = 360 [/tex]
[tex] 276 + \arc{NM} = 360 [/tex]
[tex] \arc{NM} = 360 - 276 [/tex] (subtraction property of equality)
[tex] \arc{NM} = 84 [/tex]
[tex] \arc{PNM} = \arc{NM} + \arc{PN} [/tex]
Plug in the values
[tex] \arc{PNM} = 84 + 138 [/tex]
[tex] \arc{PNM} = 222 [/tex]
How to graph -2,-2
does it just go vertical or horizontal?
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What's the number come next 0,3,3,4,8,2,?
Answers
sorry i don't know
sorry
sorry
Use the product rule to simplify sq root 147x^2
Answers
Answer:7x√3
Step-by-step explanation:
√147x^2
√49 (3) x^2
√7^2 ⋅ 3x^2
√7^2x^2 ⋅ 3
√(7x)^2 ⋅ 3
7x√3
Find function f(x) such that f(2x+1)=4x2 + 14x +7.
Answers
Answer: f=7 x=5
Step-by-step explanation:
I’m not sure because I solved on paper
which of the following equations would have 2 x-intercepts
Answers
Answer:
None of these
Step-by-step explanation:
because if we plug in every time we will gwt one solution of X
Help please I will Brainly
Answers
Answer:
6 cm² is correct answer
because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.
What is the value of the expression 3y−4 when y = 2?
Answers
Answer: 2
Step-by-step explanation:
we simply plug in 2 for y.
3(2) - 4
6 - 4
6 - 4 = 2
Answer:
3y-4=2
3×2-4
=6-4
2 the value of y is 2
Will mark brainliest!!!Solve for x and round to the nearest tenth
Answers
Answer:
i think its 63
please help asap!!!!
Answers
Answer:
z = 25
Step-by-step explanation:
adjacent angles in a rhombus are supplementary
3z - 15 + 7z - 55 = 180
10z - 70 = 180
10z = 250
z = 25
John has a bag of marbles There are 3 green, 4 blue, 2 red and 1 yellow. What is the probability of him getting a green or blue?
Answers
Answer:
7/10 or 70%Step-by-step explanation:
Total marbles:
3 + 4 + 2 + 1 = 10Green and blue marbles:
3 + 4 = 7Probability of getting green or blue:
7/10if 2/5 cups of coconut shavings cover 1/4 of the cake, then how much coconut shavings are needed for the entire cake?
Answers
Answer:
24/20 cups or 6/5 cups.
Step-by-step explanation:
Good luck :)
The ratio of men to women working for a company is 5 to 8. If there are 232 women working for the company, what is the total number of employees?
Answers
Answer:
The total number of employees is 377.
Step-by-step explanation:
1. You divide total number of women (232) by the ratio of women. (8)
232/8 =29
2. You take 29 and multiply it by the amount of men in the ratio. (5)
29*5=145
3. Finally you just add the total amount of men (145) and the total amount of women. (232)
232+145=377
I hope this helps!
I tried to explain to the best of my ability.
Answer: 377 employees
Step-by-step explanation:
The ratio of men to women can be represented as [tex]\frac{5}{8}[/tex] where the numerator represents how many men are in the company, and the denominator represents how many women are in the company. Given that there are 232 women in the company, we can replace denominator with 232, and then cross multiply.
[tex]\frac{5}{8}= \frac{x}{232}[/tex] After cross multiplying, the expression left would be 8x = 1160. To get the final answer, we would only need to simplify this. It would give us a total of 145, which is how many men work in the company.
Lastly, add the the number or men and women working in the company, and that would be the total people that work in the company
The truck costs $ 9,068 including a 19% port tax. If the selling price is reduced by 20%. Find out the new car price before tax is added.
Answers
Answer:
$ 6096
Step-by-step explanation:
Let the cost of truck = x
x+19% of x = 9068
x + 0.19x = 9068
1.19 x = 9068
[tex]x = \frac{9068}{1.19}[/tex]
x = 7620.17
Reduction = 20% of 7620.17
= 0.20 * 7620.17
= $ 1524.03
New price = 7620.17 - 1524.03
= $ 6096.14
Find the value of x.
Answers
Answer:
12
Step-by-step explanation:
The two unknown values of the triangle have to be the same.
Subtract 28 from 180 and you get 152
So each angle will be 76.
So now, 76 = -8 + 7x
Simplify and 84 = 7x
Now, x is equal to 12
Hope this helped! Please mark me as brainliest if you can!
Reindeer are fed 2 cups of corn for every 3 cups of grain. If you have 12 cups of corn, how many cups of grain need to be added?
S cups
1 cup
9 cups
13 cups
Answers
Step-by-step explanation :
2:3 ratio ( for every 2 cups of corn, there is 3 cups of grain )
12 divided by 2 = 6
6 x 3 ( for every 2 cups of corn, there is 3 cups of grain )
= 13
( if you need further explanation let me know )
Which expression is equivalent to 4.005−3.12?
Answers
Answer:
0.885
Step-by-step explanation:
NEED HELP SOON ON A TIME LINE
Answers
F.
D.
E.
G.
B.
A.
I hope this helped !
help!! geometry
jjjjjjjjjjjjj
Answers
Answer:
107
Step-by-step explanation:
Since they are congruent triangles angle B is the same as angle D.
To find D, all angles add to 180 degrees, so:
41+32+x=180
73+x=180
X=107
So angle B is 107 degrees
Please help by today
Answers
Answer:
hmmmmm
Step-by-step explanation:
Answer:
∠3 = 108
Step-by-step explanation:
∠1 + ∠2=180 because a straight line is 180°
∠1=5x+10 and ∠2=9x+2
5x+10 + 9x+2 = 14x+12
14x+12=180
180-12=168
168/14=12
x=12
∠2 = 9x+2 = 110
180-110 = 70
∠4 = 70
∠4 + ∠3 + ∠5 = 180
∠5 = 90 -5x = 30
i messed up the process here lol but the answer is for sure right
a streamer going downstream in a river cover the distance between two towns in 15 hours coming back upstream it covers the distance in 20 hours the speed of the water is 3 kilometre per hour . find the distance between two towns
Answers
Answer:
360 km
Step-by-step explanation:
Let stream speed = x
Speed of water = 3km/hr
Therefore,
Upstream speed = (x - 3) km/hr
Downstream speed = (x + 3) km/hr
Time taken downstream = 15 hours
Time taken upstream = 20 hours
Recall:
Distance = speed * time
Upstream Distance = downstream distance
20(x - 3) = 15(x + 3)
20x - 60 = 15x + 45
20x - 15x = 45 + 60
5x = 105
x = 105 / 5
x = 21
Upstream speed = (21 - 3) = 18
Distance between the two towns :
18 * 20 = 360 km
7.43+9.25 Show Your Work
Answers
Answer:
16.68
Step-by-step explanation:
just add them like regular numbers then just put the decimal
