Answer:
A.) 4 * (1/5)^(n-1)
Step-by-step explanation:
a1 = 4 * (1/5)^(1-1) = 4* (1/5)^0 = 4*1 = 4
a2 = 4 * (1/5)^(2-1) = 4 * (1/5)^1 = 4 * 1/5 = 4/5
a3 = 4 * (1/5)^(3-1) = 4 * (1/5)^2 = 4 * 1/25 = 4/25
a4 = 4 * (1/5)^(4-1) = 4 * (1/5)^3 = 4 * 1/125 = 4/125
a5 = 4 * (1/5)^(5-1) = 4 * (1/5)^4 = 4 * 1/625 = 4/625
. . .
The required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.
Given sequence,
4, 4/5, 4/25, 4/125, ...
Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
The given sequence is 4, 4/5, 4/25, 4/125, ...
Common ratio among the proceeding terms,
r = 4/5/4
r = 1/5
The required general term can be described as [tex]a_n=4*(1/5)^{n-1}[/tex].
Thus, the required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.
Learn more about geometric progression here: https://brainly.com/question/4853032
#SPJ5
Find the slope of the line
(18, 7) (8, 10)
Tổng các góc của tứ giác bằng bao nhiêu
Answer:
tổng các góc của tứ giác bằng 360 độ
Step-by-step explanation:
ha? what language is that?
express -121 in simplest form
Answer:
An expression is in simplest form when no terms can be combined. To express 3 + (2 × 5) in simplest form: First: perform the operation within parantheses. Next: perform the addition. thank me later
FRANK has a paper clip.it has a mass of 9g and a volume of 3cm3.what is its density?
Answer:
3 g/cm³Step-by-step explanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\[/tex]
From the question we have
[tex]density = \frac{9}{3} = 3 \\ [/tex]
We have the final answer as
3 g/cm³Hope this helps you
In Pedro’s rose garden, 9 of the rose bushes are blooming and the other 6 rose bushes are not blooming. what is the ratio of the number of bushes that are not blooming?
Answer:9:6
Step-by-step explanation:
Please help me solve this ASAP please !
This is a Reflection :) Have a great day !
Find the value of x and then identify the measure of each of the angles.
Answer:
x° = 22°Step-by-step explanation:
[tex](x + {46}^{o} ) + {x}^{o} = {90}^{o} \\ {x}^{o} + {46}^{o} + {x}^{o} = {90}^{o} \\ {2x}^{o} + {46}^{o} = {90}^{o} \\ {2x}^{o} = {90}^{o} - {46}^{o} \\ {2x}^{o} = {44}^{o} \\ {x}^{o} = \frac{ {44}^{o} }{2} \\ {x}^{o} = {22}^{o} \\ [/tex]
Show that the expression 1.50(10-r) is equivalent to 15-1.50r
Answer:
third answer
Step-by-step explanation:
wiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Are you talking about the console Wii
if so yeah there pretty good
Answer:
Sports
Step-by-step explanation:
Let f(x) = x − 3 and g(x) = x + 11. Find f(x) ⋅ g(x).
x2 − 8x − 33
x2 − 8x + 14
x2 + 8x + 14
x2 + 8x − 33
Answer:
D) x^2 + 8x - 33
Step-by-step explanation:
I took the quiz and got a 100%
plsss help me with this:(((
Answer:
[tex] \frac{2 {a}^{2} }{3 {b}^{3} } \div \frac{6 {a}^{3} }{5 {b}^{2} } = \frac{2 {a}^{2} }{3 {b}^{3} } \times \frac{5 {b}^{2} }{6 {a}^{3} } = \frac{5}{9ab} \\ \\ \frac{ {x}^{2} - 5x + 6}{ {x}^{2} - 6x + 9} + \frac{4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - 5x + 6 + 4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - x - 6}{{x}^{2} - 6x + 9} \\ = \frac{(x - 3)(x + 2)}{(x - 3)(x - 3)} \\ = \frac{(x + 2)}{(x - 3)} \\ \\ \frac{3a}{a - b} - \frac{a + 2b}{a - b} \\ = \frac{3a - a + 2b}{a - b} \\ = \frac{2a - 2b}{a - b} \\ = 2\frac{a - b}{a - b} \\ = 2[/tex]
Math need help one question
Answer: Multiply the second equation by -2
Explanation:
The elimination method requires you to set one variable in an equation to be the opposite of that variable in another equation. As such, due to the presence of 2x in the top equation, you need -2x in the bottom. Then, simply add the equations to get the answer.
Hope it helps :)
Taylor has $150 to spend on small canvases and paints for her art classes. The art supply store sells a four-pack
of small canvases for $4.00 and paints for $6.25, including tax.
Which inequality represents this situation where is the number of four-packs of canvases and p is the number of
paints Taylor purchases?
O4c+ 6.25p < 150
O 40+ 6.25 > 150
O 6.25c+ 4p > 150
O 6.25c +4p < 150
Answer:A
Step-by-step explanation:
50 POINT QUESTION!!!!
f(x)=12x^(2)+4x-5
find the zeroes of the function...
Answer is in picture below
:)
A dog kennel charges a daily boarding rate as shown on the graph. use the information to mark 5-8 as true or false. if false, rewrite the statement correctly. 1. The dog kennel charges $60 per day. 2. The equation y = 30x can represent the graph. 3.Third is It costs $200 to board a dog for 7 days 4. The graph will contain the coordinate (9,270) Please give me all answers to all questions or i will go into trouble
The relationship between the cost charged for the daily boarding of dogs
by the kennel is a directly proportional relationship.
The correct responses are;
1. The dog kennel charges $60 per day is; False
Correct statement; The dog kennel charges $30 per day
2. The equation y = 30·x can represent the graph; True
3. It costs $200 to board a dog for 7 days is; False
Correct statement; It costs $210 to board a dog for 7 days
4.The graph will contain the coordinate point (9, 270); True
Reasons:
Points on the graph of the given graph of the Cost to Number of days are;
(2, 60), (4, 120)
The slope of the graph is [tex]m = \dfrac{120 - 60}{4 - 2} = 30[/tex]
Equation of the graph is therefore; y - 60 = 30·(x - 2)
Which gives;
y = 30·x - 2×30 + 60 = 30·x
The equation of the graph is; y = 30·x
Therefore, the statement;
2. The equation y = 30·x can represent the graph is; TrueThe cost of the dog kennel a day is given by the value of 'y', when x = 1, as
follows;
Cost per day, y = 30 × 1 = 30
The cost per day = $30 per day
Therefore;
1. The dog kennel charges $60 per day is; FalseThe correct statement is; The dog kennel charges $30 per day
3. The statement; It costs $200 to board a dog for 7 days is; FalseThe amount it costs to board a dog for 7 days is y = $30×7 = $210
Therefore, the correct statement is; It costs $210 to board a dog for 7 days
4. When x = 9, we have; y = 30 × 9 = 270Therefore, the statement; the graph will contain the coordinate point (9, 270) is; True
Learn more here:
https://brainly.com/question/5281177
Find the slope of the line that passes through (10,10) and (1,2)
Answer:
8/9
Step-by-step explanation:
[tex]m = \frac{10 - 2}{10 - 1} = \frac{8}{9} [/tex]
A girl can run 6 2/3 metres in one second. How long will it take her to run 100 metres?
HELP PLEASE.
Answer:
15 seconds
Step-by-step explanation:
How did i get this answer? It is apparent that the girl is capable of running 6 2/3 metres per one second and she must run 100 metres.
First, let's convert 2/3 into a decimal so that it is easier to calculate later. 2/3=0.667 (you can also just do 2 divide by 3 and will end up with the same number)
Now our numbers are 6.667 and 100. Let's divide 100 by 6.667 which estimates to 15
Answer:
It will take the girl 15 seconds to run 100 meters
Step-by-step explanation:
100÷6 2/3 is 15
reverse it to see if your right: 15×6 2/3 is 100
have a good day, sorry if I'm wrong:)
(if I am wrong plz tell me<3)
Justify each step
-12p+45-7p
Answer:
Given, Associative, Commutative, Associative, Addition
Step-by-step explanation:
-12p + 45 -7p Given
-12p + (45 - 7p) Associative
-12p + (-7p + 45) Commutative
(-12p + -7p) + 45 Associative
-19p + 45 Addition
Factor the following expression completely.
16x^5-x^3
A. 1343 1) (4x + 1)
B. 13(41 – 1)
C. (413 – 22)
D. 13(16x2 – 0)
X^(16x^2-1) factor the expression
The answer to the graph
X^3(4x-1)(4x+1)
help me please
i need it
Answer:
5
Step-by-step explanation:
read your book so that you can know your book
i’m just stuck on #6, is it d or c???
C. Directions: Copy and answer. Write in the circle the final sum of
the given number.
1.
98
2.
40
3.
123
-13
47
150
70
1180
-59
321
1-300
다.
1
5.
1326
6.
109
66
11-51
39
139
7
7433
88
77
Answer:
98
Step-by-step explanation:
Can someone please show me y=2x-2 and x=4 on a graph please. ( IF U CAN PLEASE SHOW ME WHERE THE LINES GO THROUGH EACH OTHER ON A GRAPH)
Solve this equation: -7.2 + 12 - 2.c
23 + 13x
Step 3: Isolate the variable term on one side of the equation by both sides of the equation
Answer:
4.8-46c+13x
Step-by-step explanation:
kuisssss
hi how are you?
[tex] \sf {3}^{2} \div 9 = [/tex]
pakai cara
Answer:
1
Step-by-step explanation:
[tex] {3}^{2} \div 9 = \\ =(3 \times 3) \div 9 \\ = 9 \div 9 \\ = 1 [/tex]
Moga Membantu ^-^
Answer:
The solution is 1
Step-by-step explanation:
3²÷9
= 9÷9
= 1
x-5+x-11=100 what is the reason for this statement for geometry?
Answer:
because when the value of x is replaced in the factorisation it Will be equivalent to 100
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.
Step-by-step explanation:
y coordinate
m = slope
x = x coordinate
b = y intercept
Mathematics Ratio
Help plz
Answer:
480
Step-by-step explanation:
Check out the solution
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
1. 4x=36
2. x+3 = 15
Step-by-step explanation:
so for 1 if one cupcake is $4.00 that means multiplying it by x gets you $36.00
and the 4 next to the x means multiplyand x is sam and 15 is marco sam is 3 years younger so x+3=15 and x being 12 <3 hope this helps
8 divided by 1 4/5 Arithmetic operation
Answer:
4.4
Step-by-step explanation: