Answers
For the given sequence we have.
g(4) = 72g(n) = 2*g(n - 1)g(n) = 4*g(n - 2)g(n) = 8*g(n - 3)g(24)/g(21) = 8.How to describe the sequence?We have a sequence where each term is the double of the previous one.
So if we start with 9, we have:
g(1) = 9
g(2) = 2*9 = 18
g(3) = 2*18 = 36
g(4) = 2*36 = 72
That is the value of g(4).
Now the recursive formulas are trivial:
g(n) = 2*g(n - 1)
g(n) = 4*g(n - 2)
g(n) = 8*g(n - 3)
And finally, the quotient, we can write:
g(24)/g(21) as:
g(n)/g(n - 3)
And by the last recursive formula,we know that:
g(n) = 8*g(n - 3)
g(n)/g(n -3) = 8
So that is the answer there.
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Related Questions
Brainliest for correct answer
Answers
Answer:
D 40 square feet
Step-by-step explanation:
2×8=16
16÷2=8 is area of one triangle
8+8=16 is area of both triangles
8×3=24 is area of rectangle
24+16=40 square feet
The record for the most amount of rain in the shortest period of time in the united states was 12 inches in 42 minutes. How much rain fell in 15 minutes?
SHOW YOUR WORK AND HOW YOU GOT THE ANSWER!!!!
Answers
We can say that approximately 4.29 inches of rain fell in 15 minutes.
We can apply a proportion to determine the amount of rain that fell in 15 minutes.
We can calculate the proportion because we know that 12 inches of rain fell in 42 minutes:
x inches in 15 minutes equals 12 inches in 42 minutes.
where x is how much rain fell in 15 minutes.
We can cross-multiply and simplify to find x's value:
42 minutes equals 12 inches times 15 minutes (x inches)
180 = 42x
x = 180 / 42
x = 4.2857...
We may estimate that 4.29 inches of rain, rounded to the nearest hundredth, fell in 15 minutes.
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Helppp! The tree diagram below shows all of the outcomes for flipping 3 coins. Which outcome is represented x? Picture below.
Answers
Answer:
Option 1 is the correct choice
Step-by-step explanation:
All possible outcomes are represented with the exception of {HHT}
This would correspond to x
Option 1 is the correct choice
What is 90.0 - 0.026
Answers
Answer:
89.974
Step-by-step explanation:
For questions 4-6, calculate the simple interest and the amount after the specified period of time.
4. $328.00 invested at 5% for 3 years.
4. Interest:
5. $635.85 invested at 7% for 6 months.
6. $175.01 invested at 8% for 90 days.
Amount:
5. Interest:
Amount:
6. Interest:
Amount:
Answers
Step-by-step explanation:
328×5×3÷100
100÷5=20
20÷2=10
328÷2=164
The distance between points A and B is 35 feet, the distance between points B and C is 35 feet, and the distance between points C and D is 80 feet. How wide is the
canyon? Explain your reasoning.
Answers
The width of the canyon in the given image is 70 ft wide.
How to solveTo find the width of the canyon, we can visually extend side DC and AE to form two sides of a rectangle.
Given that side DC is the same as side AE (80 ft), we can use this same reasoning to determine that the width is the sum of side AB and side BC, which is 35 + 35.
This gives us a width of 70 ft.
In a rectangle, the longer side is known as the length and the shorter side is known as the width.
Therefore, using the sum of side AB and side BC, we get a width of 70 ft for the canyon.
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What is the quotient of 16sup(x,-2)-8sup(x,-2)-2sup(x,-9) and 2x?
Answers
The required quotient of the expression 16x⁻² - 8x⁻² - 2x⁻² divided by 2x is 4x⁻³ - x⁻¹⁰.
What is arithmetic?Arithmetic involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.
Here,
To simplify the given expression, we can start by factoring out the common factor of 2x from the numerator. This gives:
(16x⁻² - 8x⁻² - 2x⁻⁹) / 2x
Next, we can simplify the terms in the numerator by combining the like terms:
= (4x⁻² - x⁻⁹) / x
= 4x⁻²⁻¹ - x⁻⁹⁻¹
= 4x⁻³ - x⁻¹⁰
= 4x⁻³ - x⁻¹⁰
Therefore, the quotient of the expression 16x⁻² - 8x⁻² - 2x⁻² divided by 2x is 4x⁻³ - x⁻¹⁰.
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yvette is making a blanket. she is going to the craft store for supplies. she wrote her measurements as decimals.
Answers
For the 4.6 yards of fabric, she should use 9/2, and for the 1.83 feet of cording, she should use 9/5.
What are fractions?A fractional number is any numerical value that is not a whole number. It is a number that has been divided into two or more equal parts, such as 1/2, 3/4, 5/8, and 7/16. Fractional numbers are also known as rational numbers.
Yvette needs 4.6 yards of fabric for her blanket. She can convert this decimal measurement into a fraction by dividing the decimal by 1. This yields 4.6/1 or 46/10.
Yvette also needs 1.83 feet of cording for the border of her blanket. She can convert this decimal measurement into a fraction by dividing the decimal by 1. This yields 1.83/1 or 183/100.
To make sure she has the right amount of materials, Yvette should use the numbers from the box to write each measurement as a fraction. For the 4.6 yards of fabric, she should use 9/2, and for the 1.83 feet of cording, she should use 9/5. By writing the measurements as fractions, Yvette can be sure to have the right amount of fabric and cording for her project.
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Question: 'Yvette is making blanket: She is going to the craft store for supplies. She wrote her measurements as decimals. Yvette needs 4.6 yards of fabric: She also needs 1.83 feet of _ cording for the border: Use numbers from the box to write each measurement as a fraction. yards of fabric: feet of cording: " 90'
34.6°C =°F (round the answer to the nearest tenth).
● 4.7
● 32.3
● 30.3
● 94.3
● None are correct
Answers
Answer:
94.3/C
Step-by-step explanation:
Hope this helps!
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0
and σ=15.0
. A random sample of 41
people is taken.
Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98
? Round your answer to 4
decimal places, if necessary.
Answers
Answer:
Step-by-step explanation:
To solve this problem, we need to standardize the IQ score using the formula:
z = (x - μ) / σ
where x is the IQ score, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
So, for x = 98, we have:
z = (98 - 100) / 15 = -0.1333
Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being less than -0.1333 is approximately 0.4483.
Therefore, the probability of a random person on the street having an IQ score of less than 98 is 0.4483 (or 44.83% rounded to four decimal places).
Translation: 3 left and 3 up
Answers
New points:
(0,3)
(2,1)
(0,-2)
(2,-2)
Answer: (3,-1) = (0,2) (5,-2) = (2,1) (3,-5) = (0,-2) (-5,-5) = (-2,-2)
Step-by-step explanation:
Use the percent formula, A=PB, where A is P percent of B, to answer the following question. What is 29% of 10?
Answers
The value of 29% of the number 10 will be 2.9.
What is the percentage?The part of any product is given as though it was a ratio of a hundred. The ratio can be represented as a quarter of 100. The phrase % decrypts to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The value of 29% of 10 is calculated as,
⇒ 29% of 10
⇒ 0.29 x 10
⇒ 2.9
The value of 29% of the number 10 will be 2.9.
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Identify the equation for the graph shown.
A. y = 5x - 2
B. y = 2x - 5
C. y = 2x + 5
D. y = x - 4
E. y = 2x - 6
Answers
how do you know that 8:12 is equivalent to 4:6
Answers
Answer: it is 4:2
Step-by-step explanation: because it is a ratio, both sides can be divided by the same number and still have the same meaning. btw in this case both divided by 2
Find the coordinates of the center and the measure of the radius for a circle whose equation is x^2+(y-5)^2=9
Answers
Answer:
Coordinates of center: (0, 5)
Radius of circle: 3
HELP ASAPPP!!! Solve the triangle
Answers
Answer:
14.4 - proofs attached to answer
Step-by-step explanation:
proofs attached to answer
Explain why 200,000 square kilometers is a good estimate forthe area of South Dakota.
Answers
Answer:
Step-by-step explanation:
200,000 square kilometers is a good estimate for the area of South Dakota because the actual area of South Dakota is approximately 199,729 square kilometers according to the United States Geological Survey (USGS).
This means that the estimate is only off by about 0.1% of the actual area. This level of accuracy is generally considered to be very good for an estimate, especially when dealing with large areas like states or countries.
Additionally, 200,000 square kilometers is a round number and easy to remember, making it a useful estimate in contexts where a precise value is not necessary. It also allows for quick comparisons with other areas or states that may be roughly similar in size.
Overall, 200,000 square kilometers is a good estimate for the area of South Dakota because it is reasonably close to the actual value, easy to remember, and useful for rough comparisons with other areas.
ALSO:
South Dakota is approximately 383 miles long (east to west) and 237 miles wide (north to south).
It has the approximate shape of a rectangle, its Area = (Base x Height)= (383 x 237)= 90,771.00 miles ^2 which are 235,095.81 Km^2. So by this geometric reasoning we can have a correct approximation of the area of South Dakota.
70 points! Complete each proof using the most appropriate method.
Answers
All statements and reasons are shown below.
What is triangle?A triangle is a closed two-dimensional geometric shape that has three sides, three angles, and three vertices. Triangles are one of the basic shapes in geometry and can be classified according to the length of their sides (scalene, isosceles, or equilateral) or the size of their angles (acute, right, or obtuse). The sum of the angles of a triangle is always 180 degrees, and the Pythagorean theorem can be used to find the length of one side if the other two sides are known in a right triangle.
According to the given figure:
4. In ΔFGH and ΔFJH,
Statement Reason
GH = JH (Given)∠FGH = ∠FJH (each 90°)FH = FH (Common)ΔFGH ≅ ΔFJH (by R.H.S rule)5. In ΔTVY and ΔXWY,
Statement Reason
TY = XY (Given)∠TVY = ∠XWY (Given)∠VYT = ∠WYX (Vertically opposite angle)ΔTVY ≅ ΔXWY (by A.A.A rule) angle-angle-angle ruleTV = XW (by C.P.C.T)6. In ΔKML and ΔPMN,
Statement Reason
KL = PN (Given)∠KLM = ∠PNM (KL║NP and LN is transversal line, so this is alternate interior angle)∠LKM = ∠NPM (Alternate interior angle)ΔKML ≅ ΔPMN (by A.S.A rule) angle-side-angle ruleLM = NM (by C.P.C.T)To know more about types of triangle, visit:
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270 calories in 3 servings : 450 calories 5 servings
Answers
There are 90 calories to 1 serving.
What is rate of quantities?Rate is a term which compares two things. It simply relates the amount of one variable to the amount of the other variable. An example is the rate of the distance covered by an object with time taken.
In the given question, we can deduce that;
270 calories in 3 servings would give;
amount of calories in 1 serving = 270/ 3
= 90
Also,
450 calories in 5 servings would give;
amount of calories in 1 serving = 450/ 5
= 90
Therefore, there are 90 calories to 1 serving.
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Does this represent a function yes no because
Answers
We can conclude that the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} does not represent a function.
What is functions ?In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In other words, a function is a rule that assigns a unique output value to each input value. Functions are commonly denoted using functional notation, where the function name is followed by its input, such as f(x) or g(t).
According to given information:To determine if the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} represents a function, we need to check if for every x-coordinate there is only one corresponding y-coordinate.
We can start by graphing the set of points:
From the graph, we can see that for x = -4 and x = 4, there are two different y-coordinates, which means that the set of points does not represent a function.
Therefore, we can conclude that the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} does not represent a function.
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Boston filled up
her gas tanks 3/5s of
the way. What
percent is this?
Answers
Answer:
60%
Step-by-step explanation:
