The recursive formula for g(n) is:
g(1) = -72 (base case)
g(n) = [tex]g(n-1) \times (-1/6)[/tex] (for n > 1)
A recursive formula is a formula that defines a sequence or function by expressing each term in terms of one or more previous terms.
It is a way of defining a sequence or function iteratively, where each term or value depends on the previous terms or values.
To find the recursive formula for [tex]g(n) = -72\times (1/6)^{(n-1)} ,[/tex] we need to express the function in terms of its previous term, g(n-1).
Notice that g(n) can be obtained by multiplying g(n-1) by -1/6.
This is because:
[tex]g(n) = -72\times (1/6)^{(n-1)}[/tex]
[tex]g(n-1) = -72\times (1/6)^{(n-2) }[/tex]
So we can write:
[tex]g(n) = g(n-1) \times {(-1/6) }[/tex]
For similar question on recursive formula.
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What is the volume of this figure
Please help me
HELP WITH THIS PLEASE
Answer:
P = 10x + 4
Step-by-step explanation:
Formula to find perimeter:
P = 2(l + w)
P = 2(2x + 3x + 2)
P = 2(5x + 2)
P = 10x + 4
Two window washers, Meg and Bert, lean a ladder against the side of a building so that Meg can wash a window while Bert holds the ladder. The top of the ladder reaches the window, which is 8 meters off the ground. The base of the ladder is 6 meters away from the building. How long is the ladder?
Step-by-step explanation:
we can solve this question using Pythagorean theorem the hypotenuse of the ladder is 8 metres and base of the ladder is 6 metres so height will be..........
Hypotenuse²=Base²+ Height²
8²=6²+H²
64-36=H²
28=H²
7√2=H² Answer
Answer:
10
Step-by-step explanation:
PLEASE Factor the polynomial completely
8v^2-60v-32
Solve by grouping 8x^3+3+6x^2+4x
Answer:
Step-by-step explanation:
Answer:
it cant be simplified but this is what i got
Step-by-step explanation:
sorry if its incorrect :')))))))
Please help me with 1,2,3,4,5,6,7,8,9 tell me how u get it and the answer please I really need help
Answer:
Step-by-step explanation:
Ok so for question one we use the Pythagorean theorem, which is a^2+b^2=c^2
a is the shortest leg, b is the leg that is not the hypotenuse. and c is the hypotenuse which is the opposite leg to the right angle.
Question 1: a=9,b=12,c=x
(9)^2+(12)^2=(x)^2
81+144=(x)^2
225=(x)^2
x=15
Question 2: a=10,b=24,c=x
(10)^2+(24)^2=(x)^2
100+576=(x)^2
676=(x)^2
x=26
Question 3: a=3,b=7,c=x
(3)^2+(7)^2=(x)^2
9+49=(x)^2
58=(x)^2
x=root58, or 7.615773
Question 4: a=6,b=x, c=10
(6)^2+(x)^2=(10)^2
36+(x)^2=100
Subtract 36 from both sides
(x)^2=64
x=8
Question 5: a=6,b=x, c=24
(6)^2+(x)^2=(24)^2
36+(x)^2=576
Subtract 36 from both sides
(x)^2=540
x=6root15, or 23.2379
Question 6: a=1, b=1, c=x
(1)^2+(1)^2=(x)^2
1+1=(x)^2
2=(x)^2
x=root2, or 1.414213562
Question 7: a=8, b=x, c=21
(8)^2+(x)^2=(21)^2
64+(x)^2=441
Subtract 64 from both sides
(x)^2=377
x=root377, or 19.41648784
Question 8: a=24, b=x, c=30
(24)^2+(x)^2=(30)^2
576+(x)^2=900
Subtract 576 from both sides
(x)^2=324
x=18
Question 9: a=5,b=9, c=x
(5)^2+(9)^2=(x)^2
25+81=(x)^2
106=(x)^2
x=root106, or 10.29563014
Question 9 Part B: a=3, b=5, c=y
(3)^2+(5)^2=(y)^2
9+25=(y)^2
34=(y)^2
root34, or 5.830951895=y
The graph of the function f(x) = –(x + 3)(x – 1) is shown below. On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0). What is true about the domain and range of the function? The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1. The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4. The domain is all real numbers, and the range is all real numbers less than or equal to 4. The domain is all real numbers less than or equal to 4, and the range is all real numbers.
Answer:
i would recomend tiger algeabra
Step-by-step explanation:
Answer:
C. The domain is all real numbers, and the range is all real numbers less than or equal to 4.
Step-by-step explanation:
PLEASE HELP MEEEEEE I WILL MARK BRAINLIEST
Answer:
hahahahahaha idfk
Step-by-step explanation:
36.5% of $40 is what number?
Answer:
Answer: 91.25%
Step-by-step explanation:
Convert fraction (ratio) 36.5
Answer:
$14.6
Step-by-step explanation:
36.5% of 40 = 0.365 × 40 = 14.6
What is the slope of the line that passes through the points (3, -2) and (9, -2)?
0
3
-3
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Answer:
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Step-by-step explanation:
Answer:
a) 0
Step-by-step explanation:
hope this helps {ribbit}
~tsu-chan :p
PLEASEE HELP!! what is the perimeter of x?? HURRYYYY
Please help me guys!!!:)
Answer:
The answer is >
second one
Step-by-step explanation:
Good luck !
what is the range of these areas 595, 675, 720, 910, 1145, 1260
Answer:
665
Step-by-step explanation:
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.
Answer:
The Range is 655
Michael is measuring fabric for the costumes of a school play he needs 11.5 meters of fabric. He has 280 centimeters of fabric. How many more centimeters does he need ?
Answer:
8.7
Step-by-step explanation:
The answer is 8.7 because 280 centemiters converted into meters is 2.8 and 11.5-2.8=8.7
20 points for correct answer
Answer:
0.167 is rational
2/6 is rational and the other two is irrational
:)
Step-by-step explanation:
what is 18/5 written as a mixed number please helpppp I'll mark you brainliest
Answer:
3,3/5
Step-by-step explanation:
Think 18 divided by 5 but don't get a decimal you get 3 remainder 3. Since you divided it by 5 it will be 3, 3/5
Help me with Thai math it’s worth 22 points PLZZ answer ALL of them
Answer:
supply (B)A step in process (A) (b)(A)
You spin the spinner once. What is P(divisor of 30)?
Answer:
ayo- do you mean by this equation that im also stuck on qwq
Step-by-step explanation:
Look at the net of square pyramid below l. What is the surface area?
Answer:
SA = 72 cm²
Step-by-step explanation:
SA = (side x side of square base ) + (0.5BH x 4)
SA = (4 x 4 ) + (0.5 x 4 x 4 x 7) = 16 + 56 = 72 cm²
Jacob has a rectangular garden with an area of 56 square feet.The length of the garden is 8 feet.What is the width if the garden?
Answer:
The width of the garden is 7 feet.
Step-by-step explanation:
If the area is 56 feet, and the length is 8 feet, we can put this into the area equation.
Area = width * length
A = wl
Substitute variables.
56 = 8w
Divide by 8.
7 = w, or w = 7.
The width of the garden is 7 feet.
Can someone please help me answer this question asap thank you
Without a link thank you .
Answer:
-1.4, -.7 .003, 3%(.03), .3, .66(2/3) .85 (7/8) 0.875, 100/50 (2)
Step-by-step explanation:
In a game involving a standard deck of 52 playing cards, an individual randomly draws 7 cards without replacement. Let y = the number of kings drawn. Is y a binomial variable? Why or why now?
Answer:
Step-by-step explanation:
By definition, we will see that y is a binomial variable.
Here the variable "y" represents:
y = "number of kings drawn"
When we draw 7 cards out of a 52 cards deck.
So there are 5 possible values of y:
y = 0y = 1y = 2y = 3y = 4A binomial variable is a variable that represents two outcomes, for example, if we used the variable x = "drawing a king" 7 times, then x is a binomial variable, because it has two outcomes, or you draw a king, or you don't.
A binomial variable can also represent the number of outcomes of each type for several events like x (the one defined above). This is what y does, it counts how many times the outcome of "x" is "drawing a king" for a sequence of 7 draws.
Then y is a binomial variable.
If you want to learn more about binomial distributions, you can read:
https://brainly.com/question/7283210
What is the volume of the prism? Enter your answer, as a mixed number in simplest form, in the box.
Answer:
I need a picture, but the formula for volume of a prism is V= base area* height
there is a picture with formulas attached too.
Step-by-step explanation:
The surface area of the square pyramid shown is 84 square inches. What is the value of $x$ ? Square pyramid with base edge of 6 inches, and a slant height labeled x inches, on a triangular face.
Answer:
4 inches
Step-by-step explanation:
The surface area, A of a right square pyramid is given by :
A = a² + 2as
Where, s = height of each triangular surface = x
a = base edge of pyramid
Substituting values into the equation :
A = 84 in² ; a = 6 in ; Slant height, s = x
84 = 6² + 2(6 * x)
84 = 36 + 2(6x)
84 = 36 + 12x
84 - 36 = 12x
48 = 12x
48/12 = 12x / 12
4 = x
Hence, Slant height, x = 4 inches
Answer:
4 inches
Step-by-step explanation:
The surface area, A of a right square pyramid is given by :
A = a² + 2as
Where, s = height of each triangular surface = x
a = base edge of pyramid
Substituting values into the equation :
A = 84 in² ; a = 6 in ; Slant height, s = x
84 = 6² + 2(6 * x)
84 = 36 + 2(6x)
84 = 36 + 12x
84 - 36 = 12x
48 = 12x
48/12 = 12x / 12
4 = x
Hence, Slant height, x = 4 inches
What is the answer to this question
An investor puts $4,500 into a life insurance policy that pays 6% simple annual interest. if no additional investment is made into the policy, how much accumulated interest should the investor expect at the end of 15 years?
A) $4,050
B) $40,500
C) $4,500
D) $405,00
Shana has three black pens, two red pens, and four blue pens in her book bag. Shana randomly chooses a pen from her book bag without looking. What is the probability that the pen is red or blue?
A. 2/3
B. 2/9
C. 4/9
D. 3/9
3 Black Pens, 2 Red Pens, 4 Blue Pens
Should be 6/9 but since that's not an option I'd try D but I could be wrong I just thought I'd try an help!
If it didn't I'm sorry
or B & C if you can choose 2 answers!
Two toy robots are turned on at the same time. The first robot beeps every 24 seconds. The second robot beeps every 36 seconds. In how many seconds will they beep at the same time? Choose only ONE best answer. А 12 B 24 36 72 E 96
Write the equation of the line in slope intercept form that passes through the point (4,7) and is parallel to y = -7x + 8.
Answer:
y= -7x + 35
Step-by-step explanation:
(y - 7) = -7(x - 4)
y-7 = -7x + 28
y = -7x + 35
Compare -|56| to -56
Answer:
These are equal!
Step-by-step explanation:
The lines mean a number is opposite. So -56 is equal to -56.
-56=-56
Hope this helps and have a nice day!