Find the common ratio of the geometric sequence 18,-72,288,...
Answers
Answer:
The common ratio of the geometric sequence is -4
Step-by-step explanation:
Geometric Sequence
A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:
\(a_n=a_{n-1}*r\)
Where r is the common ratio.
We are given three terms of a geometric sequence:
18,-72,288,...
To find the common ratio, just divide each term by the previous term:
\(\displaystyle r=\frac{-72}{18}=-4\)
Make sure it's a fixed number and test with the third term:
\(\displaystyle r=\frac{288}{-72}=-4\)
Since both numbers coincide, the common ratio of the geometric sequence is -4
Related Questions
M=q+3p solve for q.
Answers
Answer:
q = M - 3p
Step-by-step explanation:
M = q+3p
to isolate q on one side, we need to remove 3p with subtraction, since it is the opposite of addition.
M-3p = q
Answer:
q=m-3p
Step-by-step explanation:
m=q+3p
-3p. -3p
-3p+m=q
Order the following numbers from least to greatest.
Put the lowest number on the left.
5 0 4 -2
Answers
Answer:
-2, 0, 4, 5
Step by Step Explaination:
3. A water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. Find this minimum length of pipe. B 6.00 mi CH P 12.0 mi A 10.0 mi D
Answers
The minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.
We are given that a water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. We need to find this minimum length of pipe.
The given figure is shown below: \(AB = 10 \ miles\)\(BC = 6 \ miles\)\(CP = 12 \ miles\). We are given that \(LAPD = LCPB\).
Now, we need to find the minimum length of pipe required for delivering the water to points A and B.The total length of the pipe, \(L_{total} = LA + AB + BP\)Since \(LAPD = LCPB\), we can say that\(AP^2 + PD^2 = BP^2 + PC^2\).
From the triangle ACP, we can say that\(AC^2 = AP^2 + PC^2\). So, we can substitute AP^2 + PC^2 with AC^2 to get\(AP^2 + PD^2 = BP^2 + AC^2\)Now, we can substitute AP = AC - PC and BP = BC + PC in the above equation to get\((AC - PC)^2 + PD^2 = (BC + PC)^2 + AC^2\).
After solving this equation, we get\(AC = \frac {37}{8}\) and \(PC = \frac {27}{8}\)Now, we can calculate the length of pipe required as follows: \(L_{total} = LA + AB + BP = 10 + 6 + \frac {27}{8} = \boxed{20.375 \ miles}\). Therefore, the minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.
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You have a bag of marbles that has 3 blue marbles and 4 red ones. What is the chance that you pick a blue OR a red marble?
Answers
Answer:
7/7
Step-by-step explanation:
Add up the amount of the marbles in total and read what color the marble they ask for the chances of. The color of marble should go first then the total of the marbles. (they could ask for more than one color so just add up both the colors given.)
Write each sum as the product of two factors 2r+r+s+2s
Answers
2r+r+s+2s =2×r + r×1 + s×1 + 2×s
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, given that,
2r+r+s+2s
=2×r + r×1 + s×1 + 2×s
Hence,
each sum as the product of two factors 2r+r+s+2s =2×r + r×1 + s×1 + 2×s
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Which expression does the model represent?
H
0
7.1
088
O
1.7
8 8
18
118
07-7/13
2/8
318
48
518
618
78
Answers
An expression which the model represent include the following: A. \(\frac{7}{8} \div \frac{1}{8}\).
What is an expression?In Mathematics and Geometry, an expression simply refers to a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).
By critically observing the model shown in the image attached below, we can reasonably infer and logically deduce that each interval represents the numerical value, 1/8.
Since the arrow increased from 0 to 7/8, it implies that an expression which the model represent can be written as follows;
\(\frac{7}{8} \div \frac{1}{8}\)
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Sammy wants to spend no more than $35 at the arcade. If he is playing games at the arcade that each cost $0.75, which inequality can be used to find g, the number of games that Sammy can play and stay within his goal
Answers
Answer:
0.75 g ≤ 35
Step-by-step explanation:
if each games costs $0.75, then the answer of g will be given by 35/0.75.
he can go up to exactly $35 but not over
so, the inequality is given by 0.75 g ≤ 35
Samuel rides his bike 14 blocks from his house to get to the bus stop. Then he takes the bus another 34 blocks to get to work. At the end of the day, he travels back home the same way. How many blocks does he travel each day? *
Answers
Answer:
96?
Step-by-step explanation:
The total number of blocks the first time in the day:
14 +34 = 48
Mutiply that by 2 to see how many blocks he does twice a day
48(2)= 96
what is the least common denominator of 1/8, 2/9, and 3/12
A. 864
B. 108
C. 72
D. 48
Answers
Answer:
c. 72
Step-by-step explanation:
you just have to see what is the lowest number the three denominators: 8, 9, 12, all go into
8 times 9=72 and 12 times 6=72, which makes answer choice C. &2 the least common denominator for the fractions 1/8, 2/9, and 3/12.
Answer:
c.72 he's right love you guys byeee you all welcome
Step-by-step explanation:
Gabe missed three less than twice as many points as his friend Noah on their test if they missed a total of 18 points how many did gabe miss
Answers
Noah missed 7 points on the test. And Gabe missed 2x - 3 = 2(7) - 3 = 11 points on the test. So, Gabe missed 11 points on the test.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let x be the number of points that Noah missed on the test.
Then, the number of points that Gabe missed is 2x - 3, according to the problem.
The total number of points missed by both of them is given as 18.
So, we can write an equation based on the problem statement:
x + (2x - 3) = 18
Simplifying the equation, we get:
3x - 3 = 18
Adding 3 to both sides of the equation, we get:
3x = 21
Dividing both sides of the equation by 3, we get:
x = 7
Therefore, Noah missed 7 points on the test. And Gabe missed 2x - 3 = 2(7) - 3 = 11 points on the test. So, Gabe missed 11 points on the test.
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The following problem has a mistake in it. Correct the right side:
7(a+2)=7xa+2
Answers
7(a+2) = 7a+14
Explanation:
Distribution Formula
The area of a certain desert (Desert 1) is five times the area of another desert (Desert 2). If the sum of their areas is 12,000,000
square miles, find the area of each desert.
What is the area of Desert 1?
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10/17/2021
Answers
Answer:
Dessert 1 is 10 million
Step-by-step explanation:
Do 12 million divided by six and you get 2 million. Then do 2 million times 5 and you get 10 million and this works because 10 million is five times more than 2 million and they add up to get 12 million.
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A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24500 kilograms. Other shipments weighing 13100 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 40-kilogram crates that can be loaded into the shipping container.
Answers
Answer:
Inequality: 40x + 13100 ≤ 24500
x ≤ 285
Step-by-step explanation:
Graph the system of equations on your graph paper to answer the question.
{y=x−4y=−x+6
What is the solution for this system of equations?
Answers
Answer: (5 , 1)
Step-by-Step explanation:
hihi your problem is a system of question y = x-4 and y = -x+6 okay so graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!
y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right
y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left
once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!
the solution is x = 5 and y = 1 which is also (5 , 1)
hopefully this was helpful !
que ecuacion muestra como se relaciona y con la x en la tabla
Answers
In the given table, y = 6x is the function as 6 = (6)1, 12 = (6)2 and 18 = (6)3. Thus, option D is correct.
What is a function?A function f from domain X to domain Y is written as f: X Y. A function is described as a map that associates each element in the domain with precisely one element in the codomain. In order to determine the value returned by a function given by an argument x, Euler was the first to use the modern representation f(x) (read "f of x). Assume that the function f converts x to Y and y to Y. Then, we can write it as y = f. (x).
A function transformation in mathematics is a function that converts one function or graph into another, typically related function or graph. For instance, when a quadratic graph is translated, the vertex and axis of symmetry are moved, but the overall shape of the parabola remains the same.
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8 Graph the equation y = –20x + 500.
Answers
Answer:
Step-by-step explanation:
you have to plot the y-intercept first so since we know that the y-intercept is 500 from the y=mx+b format, you have to plug in (0,500). Then, we use the slope or the m provided in the equation with is -20. This means you have to go down 20, and right 1 since it is -20/1 or 20 down and 1 run. then you just connect the dots to finish your line.
Solve the equation for the specified variable.
M = F/a
a=
Answers
Answer:
A=F/M
Step-by-step explanation:
m=f/a ......,,, cross product
f= ma......,..., both sides divided by m
then the answer is a=f/m
What is the value of n. 6(x – 1) = 9(x + 2)
Answers
6(x-1) = 9(x+2)
Use distributive property on both sides:
6x-6 = 9x + 18
Subtract 6x from both sides:
-6 = 3x + 18
Subtract 18 from both sides:
-24 = 3x
Divide both sides by 3:
X = -8
Answer:
x=−8
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*(x-1)-(9*(x+2))=0
(6 • (x - 1)) - 9 • (x + 2) = 0
6 • (x - 1) - 9 • (x + 2) = 0
Pull out like factors :
-3x - 24 = -3 • (x + 8)
-3 • (x + 8) = 0
Solve : -3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : x+8 = 0
Subtract 8 from both sides of the equation :
x = -8
This month my metro water services bill was $36.34 and my Madison Suburban Utilty District bill was $26.03. My total water bill was $
Answers
Total water bill for the month is $62.37.
It seems that you may have accidentally left out the total amount of your water bill.
The total amount by simply adding the amounts of the individual bills together:
Total water bill =\($36.34 + $26.03\)
= \($62.37\)
You have not provided enough information to determine your total water bill.
You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.
To find your total water bill, you simply need to add the two bills together.
So, the total amount you owe for water this month would be:
Total water bill = \($36.34 + $26.03\)
= \($62.37\)
It appears that you may have forgotten to include the full amount of your water bill by accident.
Simple addition of the separate bill amounts yields the following sum:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
Your total water bill cannot be calculated because not enough information has been given.
Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.
You just need to combine the two invoices together to get your total water bill.
As a result, this month's total water bill for you would be:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
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Teacher increases spatial awareness for children as they use position words and provide experience through mapping and manipulating shapes.
a. True
b. False
Answers
It is true teachers can increase spatial awareness as they use position words or implement mapping and shape manipulation.
Whatis spatial awareness?This refers to the ability to understand the position of one's body in relation to space and other objects as well as understanding how location and movement work.
How can spatial awareness be increased in children?In children spatial awareness can be increased through:
Positionoing wordsDancingMappingShape manipulationAmong othersLearn more about spatial awareness in: https://brainly.com/question/22442769
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One jar of spaghetti sauce is made with 1/4 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?
Answers
Answer:
you can make 12 cans of them
please answer this I will definitely give u a brainlies badge
Answers
sinθ = t/o
cosθ = m/o
tanθ = t/m
cscθ = o/t
secθ = o/m
cotθ = m/t
You will purchase snacks for the painting class. You have abudget of $40. You want to buy fruit and granola bars. Fruit costs $4 perpound, and the granola bars are $1 each. You need at least 20 granolabars. What combinations of fruit and granola bars can you buy?My variables- f-fruits g-granola
Answers
Budget: $40
Fruit: $4/pound
Granola bars: $1 each
At least 20 granolas
Let's call
f: number of pounds of fruit
g: number of granola bars
Therefore
The total cost of fruit is given by: $4 · f
The total cost of granola is given by: $1 · g
The total cost of everything is given by: $4 · f + $1 · g
Since budget: $40 then
$4 · f + $1 · g = $40
4f + g = 40
g > 20 means we have at least 20 granolas
4f + g > 20 means that we have at least 20 granolas, that cost $20, since 4f + g = 40 and 40 > 20
Jaiden walked 2 1/2 miles to his friend's house. Miya had to walk 4 3/8 miles to the same friend's house. How many times the length of
Jaiden's walk was Miya's walk?
Answers
Answer:
Jaidens walk was 2 4/8 miles long and
Miyas walk was 4 3/8 miles long so
Miyas walk was 2 1/8 mile longer than Jaidens
Step-by-step explanation:
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Using the order of operations, what should be done first to evaluate 62 +10-(-5)(3) - 5?
A. Subtract 5 from 3
B. Divide 10 by -5
C. Add 6 and 10
D. Evaluate 62
Answers
Answer:
can you try and help me with this please? https://brainly.com/question/22223449
Step-by-step explanation:
The order of operations is PEMDAS -
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
So, the first thing would be to solve any parenthesis.
Secondly, you would evaluate the exponent.
From what I can tell, your expression is
(6^2 + 10) / (-5 x 3) - 5
?
A local congressman must decide whether or not to vote for a bill to reduce the speed limit.
Supporters of the bill claim that the gas mileage improves at lower speeds! The congressman was given the data about the Toyota Camry gas usage - presented in the table below. (Picture Attached.)
Note: MPG stands for miles per gallon of gas.
IDENTIFY THE INDEPENDENT VARIABLE FIR THIS DATA AND WHY.
Answers
The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.
How to explain the variablesThe dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.
The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.
The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.
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In a college of exactly 2800 students, exactly 55 % are male. What is the number of female students? Express your answer as an integer.
Answers
To get in shape for the upcoming track season two brothers, Scott and Brian, begin running home after school. Scott runs at a rate of 6 mph and Brian runs at a rate of 4 mph. If they leave school at the same time, Scott arrives home a half-hour before Brian. How long does it take Brian to get home from school
Answers
It takes Brian 1.5 hours to get home from school
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let d represent the distance from their school to the house and t represent the time (hours) it takes Brian to teach home.
For Brian:
4 = d/t
d = 4t
For Scott:
6 = d / (t - 1/2)
d = 6t - 3
4t = 6t - 3
2t = 3
t = 1.5 hours
Therefore it takes Brian 1.5 hours to get home from school
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If the perimeter of square garden is 84 feet what s the area of the garden
Answers
Answer:
441
Step-by-step explanation:
Get each side of the square
84/4 = 21
Multiply to get the area
21*21 = 441
Answer:
441 feet
Step-by-step explanation:
4 times s is how you find the perimeter of a square so we can put this in an equation
4s=84
/4. /4
s=21
Now to find area we multiply side by side or side squared
21x21
441
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What is the missing term in the factorization?
100x2−36=4(5x+?)(5x−3)
Enter your answer in the box.
Answers
Answer:
100x^2-36=4(5x+3)(5x-3)