a new optical illusion is posred on the internet. Write a recursive formula to describe the pattern. The, write the explicit formula that can be used to find the number of times the optical illusionis shared after eight hours.
Answers
Answer:
hope this helps
The solution is 3,27,680
The geometric progression is given by aₙ = a ( r )ⁿ⁻¹ , where r = 4 is the common ratio and after 8 hours a₈ = 3,27,680
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the first term of the geometric sequence be a₁ = 20
Let the second term a₂ = 80
So , the common ratio r = second term / first term
On simplifying the equation , we get
Common ratio r = 80/20
Common ratio r = 4
Now , the explicit formula for the GP is
aₙ = a ( r )ⁿ⁻¹ , where n is the number of hours
aₙ = 20 ( 4 )ⁿ⁻¹
So , after 8 hours ,
Substitute the value of n = 8 in the equation , we get
a₈ = 20 ( 4 )ⁿ⁻¹
a₈ = 20 ( 4 )⁷
a₈ = 3,27,680
Therefore , the value of a₈ = 3,27,680
Hence , the equation is aₙ = 20 ( 4 )ⁿ⁻¹
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Related Questions
what is the approximate simple interest earned on $2460 if it is invested at 5.25% for 3 1/2 years
A. $452
B. $387
C. $369
D. $129
Answers
Answer:
i think its c im not sure
Step-by-step explanation:
i’m think the answer would be A. $452
What is the resulting cross section if the cheesecake was sliced parallel to its points?
Answers
Answer:
Rectangle
Step-by-step explanation:
3^16 as a power of 1/9
Answers
Answer:
x = -9
Step-by-step explanation:
3^16 = (1/9)^x
9^18 = 9^-x
On comparing co-efficients :
-x = 9
x = -9
ANSWER FAST PLEASE!!
Answers
Answer:
D
Step-by-step explanation:
D is a function because it passes the vertical line test, meaning that you can draw a vertical line anywhere through the graph and it will only it the lines one time.
Answer:
D u welcome
Step-by-step explanation:
I'm cant say step by step
i need help plsss help
Answers
Answer:
d
Step-by-step explanation:
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I need help the answer is not C . please show some type of explanation.
Answers
Answer:
its a
Step-by-step explanation:
yea
Help please I only have a few minutes left and I Lee’s to be fast super fast‼️❤️
Answers
Answer:
The discounted price is $109. So the bike now cost $218.
Step-by-step explanation:
20. The top layer of a circular wedding cake has a
diameter is 15 inches. The bottom layer of the circular
wedding cake has radius is 30 inches. How many times
greater is the circumference of the bottom layer than
the top layer?
Answers
Answer:
4 times
Explanation:
tc = 15×π = 47.12.. in
bc = 2×30×π = 188.49.. in
bc = 188.5/47.12 = 4 times
Find the exponential function that contains the points (2,36) and (3,108).
Answers
Answer:
[tex]f(x) = 4\times (3)^{x}[/tex].
Step-by-step explanation:
Exponential functions are in the form [tex]f(x) = a\, \left(b^{x}\right)[/tex], where [tex]a[/tex] and [tex]b[/tex] are constants with [tex]b > 0[/tex].
In this question, the function should satisfy that [tex]f(2) = 36[/tex] and [tex]f(3) = 108[/tex]. Hence, constants [tex]a[/tex] and [tex]b[/tex] should ensure that:
[tex]a \cdot b^2 = f(2) = 36[/tex], and
[tex]a \cdot b^3 = 108[/tex].
Rewrite the left-hand side of the second equation: [tex]a \cdot b^{3} = a \cdot b^2 \cdot b[/tex].
Substitute the first equation [tex]a \cdot b^{2} = 36[/tex] into the second:
[tex]a \cdot b^2 \cdot b = 108[/tex].
[tex]36\, b = 108[/tex].
[tex]\displaystyle b = \frac{108}{36} = 3[/tex].
Substitute [tex]b = 3[/tex] into either equation (for example, the first equation) and solve for [tex]a[/tex]:
[tex]a \cdot 3^2 = 36[/tex].
[tex]a = 4[/tex].
Hence, the exponential function [tex]f(x) = a\cdot b^{x} = 4 \times (3)^{x}[/tex] should satisfy the requirements of this question.
Jeremiah answered 20
out of 25 questions
correctly on the math test.
What percent of the
questions did Jeremiah
answer correctly?
Answers
Answer:
he got 80 percent correct
-2 x -4 x -1 - -2 x -4
Answers
Answer:
-16
Step-by-step explanation:
(-2 * -4 * -1) - (-2 * -4) **use parenthesis to make easy
Multiply first parenthesis:
= -8
Multiply second parenthesis:
= 8
Combine (subtract):
-8 - 8 = -16
Answer:
-32
Step-by-step explanation:
your required answer is
-2 × -4 × 1 × -4 = -32
2+3i / 1-4i simplify
Answers
Answer:
=2−i
Step-by-step explanation:
Hope this helps :)
BRAINLIEST PLSSS I HAVE A LITTLE BIT POINTS :|
Quadrilateral A'B'C'D' Is the image of quadrilateral ABCD under a dilation.
What is the scale factor of the dilation?
Answers
Answer:
Scale factor = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Formula for the dilation to be used,
Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]
= [tex]\frac{A'B'}{AB}[/tex]
= [tex]\frac{1}{4}[/tex]
Therefore, scale factor by which quadrilateral ABCD has been dilated to form image quadrilateral A'B'C'D' is [tex]\frac{1}{4}[/tex].
-1/3*12+14=2/3*12+2=
Answers
Answer:
10=10
Step-by-step explanation:
_1(12)+14=2(12)+2
3.
Help pls! show step by step
Answers
Answer:
He started with 37 CDs
Step-by-step explanation:
Variable: Let x be the number of CDs he got at the start
Equation: (x + 7) /2 = 22
x + 7 = 44
x = 37
Check: (37+7) /2 = 22
231+X=? HELLLLLLLLLLLLLLLLLLLL!!!!!!!!
Answers
Answer:
231+X = 231+X
Step-by-step explanation:
Hope it helps!!!!!!!!
PLS HELP ME OUT WITH THIS
Student A: 78, 99, 80, 85, 95, 79, 85, 96
Student B: 100, 80, 79, 75, 92, 93, 75, 78, 84
Student A Mean:
Student A Mean Absolute Deviation:
Student B Mean:
Student B Mean Absolute Deviation:
Answers
Answer:
Student A Mean: 697/8=87.125
Student A Mean Absolute Deviation: 7.1563
Student B Mean: 756/9=84
Student B Mean Absolute Deviation: 7.3333
Determine whether the figure has line point and or rotational symmetry
Answers
Answer:
D) rotational and point
Step-by-step explanation:
D) rotational and point
which pair of triangles is congruent by asa?
Answers
Yoo wsg whats he units please tell meeee
Answers
Answer:
wsp, answer is 5,5 i'm pretty sure
Step-by-step explanation:
or its 0.5
an investment that you bought ____ and sold for ___ made a profit
A.400, 500
B.500,300
C.500, 400
D.400, 300
Answers
The question mentions you make a profit, which is to make more money than what you spent or put in. All other choices would make the statement say you ended up having less money, which is money lost, not profit.
I WILL GIVE BRAINERLEST AND LIKE AND 5 STARS
For what number of days d will the
total charges for an overdue library
book be $2.40?
Answers
Answer:
You seem to have not posted the whole problem
You did not seem to say the problem
But mabye 30
Help me please which expression is equivalent to 2/3 x 5
Answers
Answer:
Your Answer Should Be C
Step-by-step explanation:
Because 2/3x5=10/3
And Then C, which is 2x5÷3= 10÷3 =10/3 :D
Answer:
2/3 x 5 = 10/3 in fraction form. 2/3 x 5 = 3.3333 in decimal form.
Step-by-step explanation:
C is the answer
Evaluate the expression 2a + 3b + 6 when a=2 and b=4
Answers
Answer:
22 or 4+12+6
Step-by-step explanation:
Since A is equal to 2, times 2 by 2 and get 4
Since B= 4 you times 3 by 4 and get 12
4+12 is 16
16 plus 6 is 22
Which of the following represents the total surface area?
O 844 in.²
O 548 in.²
O 296 in.²
O 210 in.²
Answers
Answer:
Step-by-step explanation:
It is the 2nd one.
2nd one. makes more scence
Answer:
844 in.²
Step-by-step explanation:
Find the area of all the sides, and add them up
(20 x 7.4) x 2 = 296
(20 x 10) x 2 = 400
(10 x 7.4) x 2 = 148
296 + 400 + 148 = 844 in.²
The point D(2, -5) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, D′?
Answers
Answer:
D' = (5, 2)
Step-by-step explanation:
Try to join D and the origin using a line. Counterclockwise means in an opposite direction of rotation of the clock hands. So draw another line towards the right which is perpendicular to the previous line to fine the answer. Remember the length of the lines should be equal.
(Fractions) Rewrite the expression using fithteenths. 2/5 - 1/3 =
_ / _ - _ / _
Fill in the blanks (fractions)
Answers
Answer:
1/15
Step-by-step explanation:
2/5-1/3=6/15-5/15=1/15
Vertical angles are equal in measure.
always
sometimes
O never
Answers
Answer:
Always
Step-by-step explanation:
Thank you have a great day
what do i multiply by to get 187? 187 is the total
Answers
Answer:
11x17
Step-by-step explanation:
The numbers that multiply to give 187 are 11 and 17.
What is multiplication?Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division.In math, multiply means the repeated addition of groups of equal sizes.Given is to multiply two numbers to give 187.
The numbers that multiply to give 187 are -
11 x 17
11 x (10 + 7)
(11 x 10) + (11 x 7)
110 + 77
187
Therefore, numbers that multiply to give 187 are 11 and 17.
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there are 640 students in one school. How many boys are there if it is known that 1/4 of the number of girls is equal to one sixth of the number of boys?
Answers
Answer:
960
Step-by-step explanation:
You have to figure out what 1/4th of 640 is, which is 160.
It says that number is 1/6th of boys, so you multiply by the inverse.
160x6 = 960
well since all of the girls = 4/6ths of the boys that would mean 24/24girls=16/24boys
16/24 is 66.666666666667% of 24/24
66.666666666667% of 640 is426.666666667 but in my head i would round up so:
Approximately
427 boys and 213 girls.