The garden would require 84 plants, which is the same number of plants as the garden's surface area.
The area of the garden can be determined using the formulas below if it is shaped like a right triangle and has sides that are 7 and 24 yards long.
Area of the garden = (1/2) x Base x Height
Area of the garden = (1/2) x 7 x 24
Area of the garden = 84 square yards
Since there is one square yard of area for each plant, the number of plants needed for the garden would be equal to the area of the garden, which is 84 plants.
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7.3 right triangle and trigonometry homework 
Sine: the ratio of the length of the side opposite the angle to the length of the hypotenuse
Cosine: the ratio of the length of the adjacent side to the length of the hypotenuse
Tangent: the ratio of the length of the side opposite the angle to the length of the adjacent side
Cosecant: the reciprocal of the sine function
Secant: the reciprocal of the cosine function
Cotangent: the reciprocal of the tangent function
What is Trigonometry ?
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. Right triangles are particularly important in trigonometry because they have one angle that measures 90 degrees, which allows us to define the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent.
According to the question:
In a right triangle, the side opposite the 90-degree angle is called the hypotenuse, and the other two sides are called the legs. We can use the ratios of the lengths of the sides to define the six trigonometric functions as follows:
Sine: the ratio of the length of the side opposite the angle to the length of the hypotenuse
Cosine: the ratio of the length of the adjacent side to the length of the hypotenuse
Tangent: the ratio of the length of the side opposite the angle to the length of the adjacent side
Cosecant: the reciprocal of the sine function
Secant: the reciprocal of the cosine function
Cotangent: the reciprocal of the tangent function
Trigonometry is used in a wide range of fields, including physics, engineering, and navigation. It allows us to solve problems involving angles and distances, and to model periodic phenomena such as waves and oscillations.
Q: Explain about right angle and trigonometry ?
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7. Diane started to rearrange the following inequalities into slope-
intercept form so she can graph them. The first step is completed for
you. Complete the rest of the steps to get each inequality in slope
intercept form:
Inequality 1:
y-42-2(x + 3)
Step 1: y-4≥-2x-6
Ə
Inequality 2:
4x - 3y -12
<
Step 1: -3y <-4x - 12
J
ә
The slope-intercept form of the inequality is given as follows:
y-4≥-2x-6y ≥ -2x -6 + 4y ≥ -2x-2.What is the slope-intercept format of a function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.Hence the inequality for this problem is simplified as follows:
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Please help! There could be many things and I don’t know
Answer: a rotation occurred
Step-by-step explanation:
The parallelogram shown below has an area of 24 units with a height h ? sides 5 and 6
Answer:
Step-by-step explanation:
[tex]A=\frac{1}{2} h(a+b)[/tex]
[tex]24=\frac{1}{2} h(5+6)[/tex]
[tex]24=\frac{11} 2 h[/tex]
[tex]11h=48[/tex] (multiplied both sides by 2)
[tex]h=\frac{48}{11}=4\frac{4}{11}=4.36 units[/tex] (divided both sides by 11)
any process that generates well-defined outcomes is . a. an event b. an experiment c. a sample point d. a probability
Every procedure that produces predictable results is considered an experiment, and the sample space (S) for an experiment is the collection of all possible results.
What does probability mean in its simplest form?The possibility or chance that a particular occurrence will occur is expressed numerically as a probability. Probabilities can be expressed as proportions with a 0–1 range or as percentages with a 0%–100% range.
What is probability research, exactly?Probability theory, a branch of mathematics, is concerned with the study of random events. A random occurrence can take on any number of distinct shapes, but its conclusion cannot be predicted before it occurs. The way things came out is thought to have been influenced by chance.
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obtain the deviance residuals (14.83) and plot them against the estimated model probabilities with a lowess smooth superimposed. what does the plot suggest about the adequacy of the fit of the logistic regression model?
The plot suggests that the logistic regression model is not adequately fitting the data.
The deviance residuals plot against the estimated model probabilities with a lowess smooth indicates how well the logistic regression model fits the data. A plot with residuals around zero suggests that the model is adequately fitting the data. In this case, the deviance residuals are around 14.83 which indicates a poor fit of the model. Therefore, the plot suggests that the logistic regression model is not adequately fitting the data.
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A hot air balloon is rising at a constant rate of 10 meters per second, while blowing east at a rate of 3 meters per second. The balloon travels on a diagonal path, and its position after 1 second is shown. How far does the balloon travel after 10 seconds?
Answer:130 meters
Step-by-step explanation:
it travels up 10 meters and over 3 meters per second. so that means it travels 13 meters per second. then you do 13 x 10 and get 130 meters
Answer:
3,000 meters.
Step-by-step explanation:
What you should first do is set up a diagram to demonstrate the velocity of the balloon and wind.
After having that set up, you can use the pythagorean theorem to find the hypotenuse of the triangle made after 10 seconds.
3²*10²=√900 (for one second)
√900 = ±30 m traveled in one second
30²×100²=√9,000,000
√9,000,000 = ±3,000 m
A store sells 3 T-shirts for $15
What is the cost per T-shirt?
Answer: $5
Step-by-step explanation:
If you sell 3 shirts for $15 you would then just divide the 3 shirts into how much all together to get the price for each shirt for $5.
f is a function that maps 6-bit binary strings to 4-bit binary strings. For XE {0,136, f(x) is the string x with the last two bits removed. Which property best describes the function to 04-to-1 correspondence 16-to-1 correspondence 2-to-1 correspondence Bijection
The property that best describes the function is b) 16-to-1 correspondence.
The function f maps 6-bit binary strings to 4-bit binary strings. Therefore, there are 2^6 = 64 possible inputs and 2^4 = 16 possible outputs.For any input x, f(x) is the string x with the last two bits removed. This means that there are 4 possible values for the last two bits of x: 00, 01, 10, and 11.
Since there are 4 possible values for the last two bits of x, there are 4 different inputs that map to each output. For example, if the output is 0000, then the inputs that map to this output are 000000, 000100, 001000, and 001100.
Therefore, the function has a 16-to-1 correspondence, meaning that each output corresponds to 16 different inputs.
The function is not a bijection because multiple inputs can map to the same output. It is also not a 2-to-1 correspondence because each output corresponds to more than 2 inputs.
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suppose that a box contains 6 cameras and that 3 of them are defective. a sample of 2 cameras is selected at random with replacement. define the random variable
The random variable in this situation is the number of defective cameras selected in the sample of 2 cameras. This random variable can be denoted by x.
Let us look at the different values that the random variable x can take. x can take the values 0, 1, or 2. If x=0, then it means that none of the 2 cameras selected is defective. If x=1, then it means that one of the 2 cameras selected is defective. Lastly, if x=2, then it means that both of the 2 cameras selected are defective.
In order to determine the probability of a certain value of the random variable, we need to find the ratio of favorable outcomes to the total number of possible outcomes. In this case, the favorable outcomes refer to the number of defective cameras in the sample and the total number of possible outcomes refers to the total number of combinations when selecting two cameras from the box.
The probability of x=0 is given by the ratio of the number of favorable outcomes, which is 0, to the total number of possible outcomes, which is 6C2. Hence, the probability of x=0 is 0.
The probability of x=1 is given by the ratio of the number of favorable outcomes, which is 3C1, to the total number of possible outcomes, which is 6C2. Hence, the probability of x=1 is 3/15.
The probability of x=2 is given by the ratio of the number of favorable outcomes, which is 3C2, to the total number of possible outcomes, which is 6C2. Hence, the probability of x=2 is 3/20.
To summarize, the probability distribution of the random variable x is given by:
P(x=0) = 0
P(x=1) = 3/15
P(x=2) = 3/20
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When released, a yo-yo falls toward the floor. Use conservation of energy to explain why it is able to return to your hand.
When released, a yo-yo falls towards the floor due to conservation of energy.
Conservation of energy:
As it falls, its potential energy is converted into kinetic energy. When the yo-yo reaches its lowest point, it begins to spin rapidly, storing some of this kinetic energy as rotational energy. As the string wraps around the yo-yo's axle, it exerts a force which starts pulling the yo-yo back up towards your hand. This force converts the rotational energy back into potential energy as the yo-yo rises. When the yo-yo reaches your hand, it has regained all its initial potential energy, enabling it to return to your hand.
When the yo-yo reaches the end of the string, the rotational kinetic energy it has stored is used to wind the string back around the axle. This winding motion causes the yo-yo to move back up toward your hand. As the yo-yo moves back up, its potential energy increases, while its rotational kinetic energy decreases. Eventually, the yo-yo reaches your hand and comes to a stop.
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i need help I am haveing trouble understanding
Answer: y= x + 4
Step-by-step explanation:
Let S be the sphere of radius 1 centered at (1,2,3).
Find the distance from S to the plane x+y+z=0.
(Hint: Use Lagrange multipliers to find the distance from the plane to the center of the sphere)
The distance from S to the plane x+y+z=0 is sqrt(105)/7.
To find the distance from the sphere S to the plane x+y+z=0, we need to first find the center of the sphere S. We know that the center of the sphere S is (1, 2, 3) and the radius of the sphere is 1. We can use the equation of the plane x+y+z=0 to find the distance from the center of the sphere to the plane.
We can use Lagrange multipliers to find the distance from the center of the sphere to the plane. We need to minimize the function [tex]f(x, y, z) = (x-1)^2 + (y-2)^2 + (z-3)^2[/tex] subject to the constraint x+y+z=0. Using Lagrange multipliers, we get the following system of equations:
2(x-1) = λ
2(y-2) = λ
2(z-3) = λ
x+y+z = 0
Solving these equations, we get x = 1-λ/2, y = 2-λ/2, and z = 3-λ/2. Substituting these values into the equation x+y+z=0, we get λ = 12/7. Substituting this value of λ into x, y, and z, we get the coordinates of the point on the plane closest to the center of the sphere: (5/7, 4/7, -9/7).
To find the distance from the center of the sphere to the plane, we can use the distance formula. The distance from the center of the sphere to the plane is given by the length of the vector connecting the center of the sphere to the point on the plane closest to the center of the sphere. Therefore, the distance from the sphere S to the plane x+y+z=0 is:
d = sqrt[(5/7 - 1)^2 + (4/7 - 2)^2 + (-9/7 - 3)^2] = sqrt[105/49] = sqrt(105)/7.
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the 14 teams in the local little league are listed in the newspaper. how many listings are possible?
The total number of listings possible for the 14 teams in the local little league is 11,664. This is because there are 14 teams, so the number of possible listings is equal to 14! (14 factorial). 14! is equal to 1x2x3x4x5x6x7x8x9x10x11x12x13x14, which equals 11,664.
To further explain, 14! is the number of ways to arrange 14 items. This is because the first item can be arranged in 14 ways, the second item in 13 ways, the third in 12, and so on. This means that the total number of possible arrangements is 14x13x12x11x10x9x8x7x6x5x4x3x2x1, which equals 11,664.
Therefore, the total number of listings possible for the 14 teams in the local little league is 11,664.
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Robin was given a $40 monthly allowance. She wants to go to the movies as many times as possible and have at least $12. 50 left at the end of the month to go to a concert. A movie ticket costs $5. Write an inequality to determine how many times Robin can go to the movies this month
Robin can go to the movies a maximum of 5 times this month.
Let's start by defining a variable to represent the number of times Robin goes to the movies. Let's call this variable "x".
We know that each movie ticket costs $5, and Robin wants to have at least $12.50 left at the end of the month. This means that the total amount of money she can spend on movies is:
40 - 12.50 = $27.50
We can set up an inequality to represent this:
5x ≤ 27.50
To solve for x, we can divide both sides of the inequality by 5:
x ≤ 5.5
Since we can't go to the movies a fractional number of times, we round down to the nearest whole number.
Therefore, Robin can go to the movies a maximum of 5 times this month.
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Teresa wants to buy 2 new tires for her mountain bike. She has budgeted $120 for the tires, but after researching costs, knows she may end up spending within $25 of that amount
Teresa needs to buy two new tires for her mountain bike.
With a budget of $120, she will likely spend within $25 of that amount.
To help her find the best deal, Teresa should first research what type of mountain bike tire she needs. She can look at the bike's current tires to determine the size, or she can look up the bike model and size online. She should then research prices at a variety of local bike shops and online retailers to compare costs.
Once she finds the best price, Teresa should look for discounts and coupon codes that she can use to reduce the cost of her tires. She should also make sure she is aware of any extra costs, such as shipping and taxes.
With some research and savvy shopping, Teresa should be able to find two mountain bike tires that fit within her budget of $120 and that will keep her bike running smoothly.
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If m = 5 nd n = 3 then find the value of x :
[tex] \small{\underline{ \sf{ \color{purple} \: Equation:- \: 7m - n = 4(x + 9 {m}^{2} ) \div n \: \: }}}[/tex]
Thank You! :)
To find:-
The value of " x " .Answer:-
The given equation to us is ,
[tex]\implies 7m - n = \dfrac{4(x+9m^2)}{n} \\[/tex]
We are interested in evaluating the value of x at m = 5 and n = 3 . So plug in these values in the given equation as ,
[tex]\implies 7(5) - 3 = \dfrac{4(x+9(5)^2}{3} \\[/tex]
Simplify,
[tex]\implies 35 - 3 = \dfrac{4( x + 9(25))}{3} \\[/tex]
[tex]\implies 32 = \dfrac{4(x+225)}{3} \\[/tex]
Cross multiply,
[tex]\implies 32(3) = 4(x+225) \\[/tex]
Divide both the sides by 4 ,
[tex]\implies \dfrac{32(3)}{4}= x+225 \\[/tex]
Simplify,
[tex]\implies 24 = x + 225 \\[/tex]
Subtract 225 on both the sides,
[tex]\implies 24 - 225 = x \\[/tex]
Simplify,
[tex]\implies \underline{\underline{ x = -201}} \\[/tex]
Hence the value of x is -201 when m = 5 and n = 3 .
and we are done!
if the jewler buys 49.8 lb of silver to make the hearts, how many sterling silver hearts can the jewlers make?
Triangle LMN has vertices at L(−1, 5), M(−1, 0), N(−2, 5). Determine the vertices of image L′M′N′ if the preimage is rotated 90° clockwise about the origin.
L′(5, 1), M′(0, 1), N′(5, 2)
L′(−1, −5), M′(−1, 0), N′(−2, −5)
L′(−5, −1), M′(0, −1), N′(−5, −2).
L′(1, −5), M′(1, 0), N′(2, −5)
The vertices of image L′M′N′ are L′(−5, −1), M′(0, −1), and N′(−5, −2).
Rotating a figure 90°:Rotating a figure 90° clockwise about the origin means that each point of the figure will be moved to a new position that is located 90° clockwise from its original position, with respect to the origin of the coordinate plane.
To rotate a figure 90° clockwise about the origin follow the steps:
1. Swap the x- and y-coordinates of each point.
2. Negate the new x-coordinates.
3. Leave the new y-coordinates as they are.
Here we have
Triangle LMN has vertices at L(−1, 5), M(−1, 0), N(−2, 5)
Triangle LMN is rotated 90° clockwise about the origin.
Using the above condition
L(−1, 5) => (−(5), −1) => (−5, −1)
M(−1, 0) => (−0, −1) => (0, −1)
N(−2, 5) => (−(5), −2) => (−5, −2)
Therefore,
The vertices of image L′M′N′ are L′(−5, −1), M′(0, −1), and N′(−5, −2).
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during normal breathing, about 12% of the air in the lungs is replaced after one breath. write an exponential decay model for the amount of the original air left in the lungs if the initial amount of air in the lungs is 500 ml. approximately how much original air is left in the lungs after 5 breaths?
If the initial amount of air in the lungs is 500 ml. approximately then original air is left in the lungs after 5 breaths is 263.86 ml.
During normal breathing, about 12% of the air in the lungs is replaced after one breath,
initial amount of air in the lungs is 500 mL.
After 1 breath original air in lung = 500 - (12/100)500
= 500*(88/100)
= 500 (0.88)
After 2 breath original air in lung = 500 (0.88) - (12/100)500 (0.88)
= 500 (0.88) (1 - 12/100)
= 500 (0.88) (0.88)
= 500(0.88)²
After n breaths original air in lung = 500(0.88)ⁿ
original air is present after 5 breaths = 500(0.88)⁵
= 263.86 ml
Therefore, original air is left in the lungs after 5 breaths is 263.86 ml.
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Two numbers are in the ratio of 4 : 5. If their product is 80
find the greater number.
answer: 10
step by step explanation:
this is not a textbook way but
4:5 means 4/5 and we know that the numbers will be equal to this number so we can multiply the number 4/5*2/2 so we will get 8/10
8/10=4/5
and 8*10=80
so 1st no. is 8 and 2nd is 10
10>8
Answer:
greater number is 10
Step-by-step explanation:
the ratio of the 2 numbers = 4 : 5 = 4x : 5x ( x is a multiplier )
their product is 80 , that is
4x × 5x = 80
20x² = 80 ( divide both sides by 20 )
x² = 4 ( take square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
then greater number = 5x = 5 × 2 = 10
A ratio is 5:6 , The Antecedent of the given ratio is 95 ,what is the consequent ?
Given:
ratio = 5:6 , Antecedent = 95
so, as we know that if a ratio is in the form of a/b, then
a is antecedent and b is called consequent.
so,
5/6 =95/b
on doing cross multiplication we get;
5×b=95×6
b=(95×6)/5
b=19×6
b=114
Hence, consequent(b) is 114.
based on the boxplot, about 25% of these ayrshire cattle had a butterfat percentage that was higher than what value ?
Based on the boxplot, approximately 25% of these Ayrshire cattle had a butterfat percentage higher than 8.3%.
To determine this, we can look at the boxplot and see that the third quartile (Q3) is at 8.3%. Since 25% of the data is greater than 8.3%, we can infer that 25% of these Ayrshire cattle had a butterfat percentage higher than 8.3%. To further explain, a boxplot is a graphical representation of the five-number summary of a dataset, which consists of the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.
The boxplot is divided into two parts, the box and the whiskers. The box indicates the interquartile range (IQR) which is the difference between the third and first quartile. The whiskers represent the minimum and maximum of the dataset. The median is shown by a line within the box. In this boxplot, the first quartile (Q1) is 6.7%, the median (Q2) is 7.4%, and the third quartile (Q3) is 8.3%. Therefore, based on the boxplot, about 25% of these Ayrshire cattle had a butterfat percentage that was higher than 8.3%.
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Complete Question : Based on the boxplot, about 25% of these ayrshire cattle had a butterfat percentage that was higher than?
now fit a logistic model with a single explanatory variable mcat scores. why is the null deviance the same as that from part a.?
The MCAT scores variable can predict some of the variation in the response variable.
The logistic regression model is a type of regression analysis that is widely used in various fields. A logistic model can be fitted using the glm() function in R. Now fit a logistic model with a single explanatory variable, MCAT scores.In logistic regression, the null deviance is the deviance for a model that has only the intercept. The null deviance will always be equal to the residual deviance if the model has only the intercept.The null deviance is calculated based on the difference between the saturated and null models' likelihoods. It is the amount of variation in the response variable that cannot be explained by the model when no predictor variables are used. When the single predictor variable MCAT scores is added to the null model, it reduces the null deviance by 11.59. This is significant because it indicates that the MCAT scores variable can predict some of the variation in the response variable.
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8. the z-table gives the area under the standard normal curve to the left of z. what does the t-table give?
Answer:
The z-Table gives the area under the standard normal curve to the left of z. What does the t-Table give? The t-Table gives the area under the t-curve with n degrees of freedom to the left of it
HOPE THIS HELPSSS!
A boat is heading towards a lighthouse, where Charlotte is watching from a vertical distance of 137 feet above the water. Charlotte measures an angle of depression to the boat at point AA to be 11^{\circ} ∘ . At some later time, Charlotte takes another measurement and finds the angle of depression to the boat (now at point BB) to be 47^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
The distance from point AA to BB is 577 ft.
What is an angle of depression?An angle of depression is a measure of an angle formed when an observer views an object below the horizontal plane.
In the given question, let the distance from lighthouse to point AA be represented by x. So that;
Tan θ = opposite/ adjacent
Tan 11 = 137/ x
x = 137/ 0.1944
x = 704.733 ft
Let the distance from the lighthouse to point BB be represented by y, so that;
Tan 47 = 137/ y
y = 137/ 1.0724
y = 127.751 ft
Thus,
x - y = 704.733 - 127.751
= 576.982
The distance between point AA and point BB is 577 ft.
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Help me pls, i need the process too!
Option A,B,C,D : Elias might have gotten the answer by calculating the percentage discounts of each item and comparing them to see which ones are the same.
To find which items have the same percent discount, we need to calculate the percent discount for each item.
For the sweater, the percent discount is (20/50) x 100% = 40%.
For the shorts, the percent discount is (12/30) x 100% = 40%.
For the shirt, the percent discount is (14/35) x 100% = 40%.
For the jeans, the percent discount is (24/60) x 100% = 40%.
Therefore, all items have the same percent discount of 40%, and option C (jeans and shirt only) is incorrect. The correct answer is A, sweater and shorts only, B, sweater, shorts, and shirt only, and D, sweater, shorts, and jeans only, have the same percent discount. Elias may have chosen C because he overlooked that the percent discount is the same for all items.
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Which items have the same percent discount?
A. sweater and shorts only
B. sweater, shorts, and shirt only
C. jeans and shirt only
D. sweater, shorts, and jeans only
Elias chose C as the correct answer. How might he have gotten that answer?
2.963 × 10 powerd to the 6
written in standard form?
Answer:
2963*100,000 that's the answer for that question
Find the area of the polygon in square units.
This may be wrong
Answer: 240.25 square units
Step-by-step explanation:
You could take the perimeter already given, and turn this into a rectangle.
Since the left side is blank, this means you add 7 to thirteen to get the measurement of it. It would take a while to explain, and it seems like you want the answer soon.
You end up with a perimeter of 62.
If you get 2 sets of 2 values from this perimeter, you can create a width and height for your "rectangle"
You could turn this into a square even. Divide the perimeter by 4 to get a length of each side.
Each side of your rectangle (now square) is equal to 15.5 units.
Since the formula for area for a rectangle is width times height, multiply 15.5 by itself, and you get an area measure of 240.25 square units.
Find the common ratio of the geometric sequence
ё -3, 21, - 192
As per the geometric sequence, the common ratio is -7.
Firstly, let's start with a brief introduction to what a sequence is. A sequence is simply a list of numbers that follow a certain pattern or rule. For example, the sequence 1, 3, 5, 7, 9 is a sequence of odd numbers.
Now, let's talk about a geometric sequence specifically.
Now, let's apply this to the sequence you were given: -3, 21, -192. To find the common ratio, we need to look at the ratio of any term to the previous term. For example, we can look at the ratio of the second term (21) to the first term (-3):
r = 21 / (-3) = -7
This means that the common ratio of the sequence is -7, since each term is found by multiplying the previous term by -7.
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