Answer:
aprox 33%
Step-by-step explanation:
Is x < 5 always true? Explain.
Answer:
No
Step-by-step explanation:
X can be worth any number unless set
A cube of length 7 cm is painted on all its faces. What is the total surface area of the
painted surfaces?
Answer:
294
Step-by-step explanation:
To find the surface area of a cube, first we need to realize that a cube, on its surface, is made up of 6 squares forming a box. That means that all we need to do is find the surface area of one of those squares, and multiply it by 6. So what we do is take side length 7, and square it, giving us 49. Then, we multiply that by 6 giving us 294. The formula for this, in short, is y=6a^2, y being the total surface area and a being a side length, in this case 7.
Hope this helps!! (and brainliest is always appreciated <3)
question 1(multiple choice worth 2 points) (systems of linear equations lc) how many solutions does the system of linear equations represented in the graph have? coordinate plane with one line that passes through the points 0 comma 2 and 2 comma 1. no solution infinitely many solutions one solution at (2, 0) one solution at (0, 2)
Option (a) is correct. There'll be No Solution to the given system of linear equations.
According to the solutions of linear equations, we know the following things,
1. If two intersecting lines are at one common point, the system has only one solution.
2. If two coincidental lines mean both equations give the same line, that means the system has infinitely many solutions.
3. If the lines are parallel to each other, the system will have no solution.
We can see lines are parallel but we can also find whether the given lines are parallel or not by simply finding their slope m.
For Line 1, we have the following data
\($\left(\mathrm{x}_1, \mathrm{y}_1\right)=(0,2)$\)
\($\left(\mathrm{x}_2, \mathrm{y}_2\right)=(3,1)$\)
For slope m of the line 1,
slope m₁ = \(\frac{y_2-y_1}{x_2-x_1}=\frac{1-2}{3-0}=-\frac{1}{3}\)
For Line 2, we have the following data
\($\left(\mathrm{x}_1, \mathrm{y}_1\right)=(0,-1)$\)
\(- $\left(x_2, y_2\right)=(3,-2)$\)
For slope m of line 2,
slope m₂\($=\frac{y_2-y_1}{x_2-x_1}=\frac{-2-(-1)}{3-0-x_1}=-\frac{1}{3}$\)
As the slope of both lines is equal, so lines are parallel to each other, and hence, if lines are parallel so there'll be no solution to the system.
Hence, option (a) is correct.
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Your question was incomplete, the most probably question you asked was:
How many solutions does the system of linear equations represented in the graph have? Coordinate plane with one line that passes through the points (0, 2) and (3, 1) and another line that passes through the points (0, -1) and (3, -2).
(a) No solution
(b) One solution at (−1, 0)
(c) One solution at (0, −1)
(d) Infinitely many solutions
How many times greater is 7,000,000( 7 million ) than 700,000(700 thousand)?
Answer:
6300000
Step-by-step explanation:
7,000,000-700,000=6300000
Answer:
10 times greater
Step-by-step explanation:
Suppose ACT Reading scores are normally distributed with a mean of 21.3
and a standard deviation of 6
A university plans to award scholarships to students whose scores are in the top 4%
. What is the minimum score required for the scholarship?
Using z - score the minimum score required for the scholarship is 31.8
How to find the minimum score required for the scholarship?Since ACT Reading scores are normally distributed with a mean of 21.3 and a standard deviation of 6. Since a university plans to award scholarships to students whose scores are in the top 4%. To find the minimum score required, we use the z-score.
What is z - score?Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. It is given by
z = (x - μ)/σ where
x = given value, μ = mean and σ = standard deviationSince we require x, making x subject of th formula, we have
x = σz + μ
Since ACT Reading scores are normally distributed with a mean of 21.3 and a standard deviation of 6. Since a university plans to award scholarships to students whose scores are in the top 4%, we have that
μ = 21.3, σ = 6 and p value ≥ 4 % ≥ 0.04For the minimum score p value = 4% which is in the 100 - 4 = 96 percentile.
So, the p value , p = 0.96. Thus the z-score z = 1.75
So, substituting these into the equation for x , we have
x = σz + μ
x = 6 × 1.75 + 21.3
x = 10.5 + 21.3
x = 31.8
So, the minimum score is 31.8
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in the quadrant you start at (2,6) and move 5 units right what point will end up on?
Answer:
(7,6)
Step-by-step explanation:
Add 5 to the x-value of the point.
1 5/6= 1/2x+1 solve for x
Answer:
x=5/3
Step-by-step explanation:
Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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a radio station claims that the amount of advertising each hour has a mean of 12 minutes and a standard deviation of 1.5 minutes. you listen to the radio station for 1 hour and observe that the amount of advertising time is 5 minutes. calculate the z-score for this amount of advertising time. z
The z-score for 11 minutes of advertising time is approximately -0.667
Here we have given that a radio station claims that the amount of advertising each hour has a mean of 12 minutes and a standard deviation of 1.5 minutes. you listen to the radio station for 1 hour and observe that the amount of advertising time is 5 minutes.
And we need to calculate the z-score for this amount of advertising time.
While we looking into the given question, we have identified that Z-scores measure the distance of any data point from the mean in units of standard deviations and are useful because they allow us to compare the relative positions of data values in different samples.
Here the z-score for any single data value can be found by the formula:
z = (data value- mean) / standard deviation
Here from the information given we know:
Data value = 11 minutes
Mean = 12 minutes
Standard deviation = 1.5 minutes
When we apply the values on the formula then we get,
=> z = (11 - 12) / 1.5 = -0.667
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Someone help! Please and thank you
The point which is collinear with D & G is A.
The two lines that pass through E are, AE and GE.
The points which are not collinear with D are E & F and the points which are not collinear with C are F & G.
What are collinear points?
Collinear points are those that are situated along a single or shared straight line. In Euclidean geometry, two or more points are said to be collinear if they are located on a line either near or far from one another.
In the given figure, the point A, D and D are situated on a straight line.
Therefore, the point which is collinear with D & G is A.
The lines AE and GE are pass through the point E.
The points E and F are not situated on the straight line of D.
Therefore, the points which are not collinear with D are E & F
The points F and G are not situated on the straight line of C.
Therefore, the points which are not collinear with C are F & G.
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WHAT ON EARTH IS THIS ANSWER
Answer:
Step-by-step explanation:
You can figure out the angle DBC by the alternate interior theorem. Angle DBC=56 degrees. You already figured out BD.
Since we know BD, BC, and the angle DBC we can use the Law of cosine to find CD
The law of cosine is
CD^2=BC^2+BD^2-2(BC)(BD)cos DBC
Plug in what we know
CD^2=18^2+12.1^2-2(18)(12.1)cos 56
CD^2≈228.8387
Find the square root to isolate CD.
CD≈15.1
Pls help me!!! And thank youuuuu
A mouse pushes a block of cheese across the floor with 4 N of force. How many meters did the mouse travel if she did 16 J of work?
The mouse traveled 4 meters while pushing the block of cheese with 4 N of force if she did 16 J of work.
What is equations?An equation is a mathematical statement that shows that two expressions are equal. Equations typically consist of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.
According to the given information:We know that work (W) is equal to force (F) times distance (d) in the direction of the force, so we can use the formula:
W = F x d
To find the distance traveled (d), we need to rearrange the formula:
d = W / F
Plugging in the values we have:
d = 16 J / 4 N
d = 4 meters
Therefore, the mouse traveled 4 meters while pushing the block of cheese with 4 N of force, if she did 16 J of work.
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Use completing the square to solve for x in the equation (x+ 7)(x-9)=25,
OX= 4 or 6
O X-2 or 14
O x=1V89
O x=1 V87
Answer:
3rd option
Step-by-step explanation:
(x + 7)(x - 9) = 25 ← expand left side using FOIL
x² - 2x - 63 = 25 ( add 63 to both sides )
x² - 2x = 88
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 88 + 1
(x - 1)² = 89 ( take square root of both sides )
x - 1 = ± \(\sqrt{89}\) ( add 1 to both sides )
x = 1 ± \(\sqrt{89}\)
1.
If'C is the midpoint of the line segment joining points A(4,1) and
B(2,3), then y-coordinate of point ' C is 4
TRUE
FALSE
Answer:
false
Step-by-step explanation:
Answer:false
Step-by-step explanation:
what is $22 with a 30% markup?
Answer:
$6.60
Step-by-step explanation:
22 * .3 = 6.6
Find the slope of the line.
A: 3/2
B: -2/3
C: 2/3
D: -3/2
Answer:
Slope= \(rise/run\)
slope= - 1/5
Step-by-step explanation:
(3,2) (-2,3)
formula = \(y2-y1/ x2- x1\)
\(3-2 / -2 -3\)
\(1/-5\)
slope= - 1/5
Kyle used 9 as An estimate for 3 1/6 + 5 7/8. He got 9 1/24 for the exact sum. Is his calculated answer reasonable? Explain
Kyle's estimate of 9 was not very accurate, but his calculated answer of 9 1/24 is a reasonable approximation of the sum.
To determine if Kyle's calculated answer is reasonable, we can compare it to the original sum of 3 1/6 + 5 7/8.
First, we need to convert the mixed numbers to improper fractions:
3 1/6 = 19/6
5 7/8 = 47/8
Next, we can add the fractions:
19/6 + 47/8 = (152 + 141)/48 = 293/48
Now, we can compare this exact sum to Kyle's estimated answer of 9 and his calculated answer of 9 1/24.
Kyle's estimated answer of 9 is much larger than the exact sum of 6 5/48.
Thus, Kyle's estimate of 9 was not very accurate, but his calculated answer of 9 1/24 is a reasonable approximation of the sum.
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A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf underclassmen students have in a one week period. We know from preliminary studies that the standard deviation is around 2. 8. How many students should be sampled to be within 1. 5 drink of population mean with 90% probability?.
Answer: 16
Step-by-step explanation:
Standard deviation is 2
Margin error for the problem is 1
Probability 95%, that means thet the siginficance level α is 1 – p
α = 1 – 0.95 = 0.05
margin of error (ME) can be defined as follows
ME = Z(α/2) * standard deviation/ √n
Where n is the sample size
Z(0.05/2) = Z(0.025)
Using a z table Z = 1.96
Now, replacing in the equation and find n
1 = 1.96 * 2/ √n
1 = 3.92 / √n
√n = 3.92
n = 3.92^2
n = 15.36 = 16
i hope this work for you
PLEASE HELP!!! I don’t have to show any work btw! <33
1) Which of the following are the coordinates of point B’ , the image of point B after a translation of (x-4, y-3)
A- B’(-1,2)
B- B’(-4,-3)
C- B’(1,5)
D- B’(1,-2)
2) The two figures are congruent. Describe the isometry that maps the original figure onto the new figure.
A- Translation (x-3,y-1)
B- Reflection over the line x = 1
C- 90 Degree Rotation
D- 270 Degree Rotation
3) The smaller figure is a dilation of the original figure. Which two statements below are true?
A- The dilation is an enlargement.
B- The dilation is a reduction.
C- The dilation has a scale factor of 1/2
D- The dilation had a scale factor of 2
E- The dilation has a scale factor of 1/4
4) Complete a glide translation (x-2,y) and then reflect over x axis. What would be the new ordered pairs for P’ and S’?
A- P’(1,-2) S’(2,5)
B- P’(5,-2) S’(6,-5)
C- P’(1,2) S’(2,5)
D- P’(3,2) S’(4,5)
5) Complete a dilation with scale factor of 1/2 around the origin and then reflect over the y-axis. What are the new ordered pair of A’?
A- A’(-4,-10)
B- A’(-1,-2.5)
C- A’(2,5)
D- A’(1,2.5)
Tysm
The coordinates of B' after the translation represented by (x - 4, y - 3) is (1, -2). See other solutions below
The coordinates of B' after the translationB is located at the point (5, 1) in the figure.
If we translate the point by (x - 4, y - 3), the new location of B, denoted by B', can be found by subtracting 4 from the x-coordinate and 3 from the y-coordinate.
Therefore, B' is located at (1, -2).
The isometry transformationThe given information provides us with a set of matching points, which are:
Preimage = (2, 1)
Image = (-1, 2)
These points can be represented by the equation:
(x, y) = (-y, x)
This equation indicates that the points have undergone a (d) clockwise rotation of 270 degrees.
The statements of the dilationHere, the smaller shape is created by scaling down a larger shape, the transformation is a dilation that results in a reduction.
The scale factor for this transformation could be either 1/2 or 1/4.
The glide transformatonGiven the points P = (3, -2) and S = (4, -5), we apply two transformations.
The first transformation (x - 2, y) is defined as shifting the x-coordinate of each point left by 2 units, while keeping the y-coordinate the same.
This results in new points P' = (1, -2) and S' = (2, -5).
The second transformation involves reflecting the new points across the x-axis, which changes the sign of their y-coordinates.
The resulting points are P'' = (1, 2) and S'' = (2, 5).
The new ordered pair of point AIn this context, we are given the coordinates of point A as (-2, -5).
This implies that if we scale down the original coordinates by a factor of 1/2, we get the new coordinates of point A, which become (-1, -2.5).
Therefore, the coordinates of point A' are (-1, -2.5).
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is the following true or false if the domain consists of all real numbers? a) ∃x(x3 = −1). b) ∃x(x4 < x2) c) ∀x((−x)2 = x2).
d. ∃x(x5 < x2)
The domain "∃x(x3 = −1)", "∃x(x4 < x2)", "∀x((−x)2 = x2)" and "∃x(x5 < x2)" consists of all real numbers. So the options a, b, c or d are true.
(a) The first statement is ∃x(x3 = −1), which is True.
As there is x = -1
in R such that
x³ = (-1)³
x³ = -1
(b) The Second statement is ∃x(x4 < x2), which is True.
let x=1/2 is a real number
such that x⁴ < x²
(1/2)⁴ < (1/2)²
1/16 < 1/4
(c) The third statement is ∀x((−x)2 = x2), which is True.
as (-x²) = (-1)² × (x)²
(-x²) = 1 × x²
(-x²) = x² for all real numbers x
(d) The fourth statement is ∃x(x5 < x2), which is True.
let x=1/2 is a real number
such that x⁵<x²
(1/2)⁵<(1/2)²
1/32<1/4
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~Giving tons of branliest!!~
A city receives 1 inches of snowfall every 4 hours. Write and graph a function that describes the relationship. How long does it take to receive 1 foot of snow? Use x for the independent variable and y for the dependent variable.
A function is y =
It takes _ hours to recieve 1 foot of snow
Answer:
To receive 1 foot of snow it will take about 18 hours.
Step-by-step explanation:
Given that a city receives 2 inches of snowfall every 3 hours, to write and graph a function that describes the relationship and determine how long does it take to receive 1 foot of snow, the following calculation must be performed:
1 foot = 12 inches
(12/2) x 3 = X
6 x 3 = X
18 = X
Thus, to receive 1 foot of snow it will take about 18 hours.
How do I find the value of x
Answer:
\(x=144\)
Step-by-step explanation:
\(We\ can\ observe\ that:\\The\ polygon\ is\ an\ octagon\ as\ it\ is\ bounded\ by\ 8\ linear\ sides.\\Hence,\\We\ know\ that,\\The\ Interior\ Angle\ Sum\ of\ a\ polygon\ with\ n\ is\ given\ by\ the\ formula:\\Interior\ Angle\ Sum=180(n-2)\\Hence,\\As\ we\ already\ know\ that,\\The\ number\ of\ sides\ in\ this\ polygon=n=8\\Hence,\\The\ Interior\ Angle\ Sum\ Of\ An\ Octagon=180(8-2)=180*6=1080\\\)
\(Hence,\\\angle 1+ \angle 2+\angle 3+\angle 4+\angle 5+\angle 6+\angle 7+\angle 8=1080\\Hence,\\129+132+136+124+141+158+116+x=1080\\Hence,\\936+ \angle x=1080\\\angle x=1080-936=144\)
let a ball be drawn from an urn containing 4 balls, numbered 1, 2, 3, 4. each ball is equally likely to be drawn. consider the following three events: e
In all cases, the probabilities are equal to 1/4, indicating that the probability of the intersection of events E, F, and G with any other event is the same.
To calculate the probabilities P(EF), P(EG), and P(FG), we need to determine the intersection of the events E, F, and G and divide it by the total number of possible outcomes, which is 4.
Event E = {1, 2}
Event F = {1, 3}
Event G = {1, 4}
To calculate P(EF), we need to find the intersection of E and F, which is the common element 1. Therefore, P(EF) = 1/4.
To calculate P(EG), we need to find the intersection of E and G, which is also the common element 1. Therefore, P(EG) = 1/4.
To calculate P(FG), we need to find the intersection of F and G, which is the common element 1. Therefore, P(FG) = 1/4.
In all cases, the probabilities are equal to 1/4, indicating that the probability of the intersection of events E, F, and G with any other event is the same.
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Let a ball be drawn from an urn containing four balls, numbered 1,2, 3, 4. Let E={1,2}, F={1,3}, and G={1,4}. If all four outcomes are assumed equally likely, then what is P(EF), P(EG), and P(FG)?
Anthony has 3 pies that he is going to share equally among 5 friends. How much pie will each friend receive
Answer:
3/5
Step-by-step explanation:
how does an expert system differ from conventional systems?
An expert system differs from conventional systems in that it incorporates knowledge and expertise in a specific domain to make intelligent decisions or provide recommendations.
Conventional systems are typically rule-based or algorithmic, where predefined rules or instructions are followed to process data or perform tasks. These systems are designed to handle specific functions but lack the ability to mimic human expertise or reasoning.
On the other hand, an expert system utilizes artificial intelligence (AI) techniques, such as knowledge representation, inference engines, and learning algorithms, to capture and apply human expertise in a particular domain. It relies on a knowledge base, which contains expert knowledge and rules, and an inference engine, which uses logical reasoning to draw conclusions or provide recommendations based on the given input.
The key distinction of an expert system lies in its ability to handle complex, knowledge-intensive tasks that would typically require human expertise. By emulating the decision-making processes of human experts, expert systems can analyze complex data, diagnose problems, offer solutions, and provide expert-level advice.
Expert systems have applications in various fields, including medicine, finance, engineering, and customer support. They enable organizations to leverage and preserve expert knowledge, enhance decision-making processes, and improve overall efficiency and accuracy.
In summary, expert systems differ from conventional systems by incorporating AI techniques to emulate human expertise, allowing them to handle complex tasks and provide intelligent recommendations. This makes expert systems particularly valuable in domains where expert knowledge is critical for decision-making and problem-solving.
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An expert system differs from conventional systems in terms of their knowledge base, reasoning and inference capabilities, adaptability, and domain-specificity.
An expert system is a computer program that mimics the decision-making ability of a human expert in a specific domain. It uses a knowledge base, which contains facts and rules, and an inference engine to provide intelligent solutions to complex problems. Expert systems are designed to handle complex and uncertain situations by using reasoning and inference techniques.
On the other hand, conventional systems are traditional computer programs that follow a predefined set of instructions to perform specific tasks. They do not possess the ability to learn or adapt like expert systems.
The main differences between expert systems and conventional systems are:
Knowledge base: Expert systems have a knowledge base that contains facts and rules about a specific domain. This knowledge base is used by the inference engine to make decisions. Conventional systems do not have a knowledge base.Reasoning and inference: Expert systems use reasoning and inference techniques to handle complex and uncertain situations. They can make decisions based on incomplete or uncertain information. Conventional systems do not have the ability to reason or infer.adaptability: Expert systems can learn and adapt over time. They can update their knowledge base based on new information or experiences. Conventional systems do not have the ability to learn or adapt.domain-specific: Expert systems are designed for specific domains, such as medicine, finance, or engineering. They have specialized knowledge in these domains. Conventional systems can be used in various applications and do not have specialized knowledge.Learn more:About expert system here:
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In triangle ABC,
AC=8 cm,
BC-15 cm,
Angle ACB = 70°.
(a) Calculate the length of AB. Give your answer correct to 3 significant figures.
Calculate the size of angle BAC.
(b) Give your answer correct to 1 decimal place.
a) The length of AB is given as follows: 14.387.
b) The measure of angle BAC is given as follows: 78.4º.
How to obtain the length of AB?The length of AB, from the sketch of the triangle given by the image at the end of the answer, is obtained using the law of cosines, as follows:
x² = a² + b² - 2abcos(C).
The parameters from the triangle are given as follows:
a = 8, b = 15, C = 70º.
Hence the length of AB is given as follows:
x² = 8² + 15² - 2 x 8 x 15 x cos(70º)
x² = 207
x = square root of 207
x = 14.387.
How to obtain te measure of angle BAC?
The measure of angle BAC is obtained using the law of sines, as follows:
sin(x)/15 = sin(70º)/14.387
sin(x) = 15 x sin(70º)/14.387
sin(x) = 0.9797.
x = arcsin(0.9797)
x = 78.4º.
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i need help this is very hard, i have a lot of trouble with math.. please help
Answer: x = 40
Step-by-step explanation:
Answer:
emaillllllllllll meeeeeeeeeeeeeeeeee
Step-by-step explanation:
Find the area of a 1/4 inch diameter circle. Express the answer to the nearest thousandth square inch. _______ square inch g
The area of the 1/4 inch diameter circle, expressed to the nearest thousandth square inch, is 0.049 square inches.
The formula to find the area of a circle is A = π\(r^2\).
Where,
r is the radius of the circle.
Since the diameter of the circle is given as 1/4 inch, the radius is 1/8 inch (radius = diameter/2).
Substituting the value of r in the formula, we get A = π(1/8) = π/64 square inches.
Now, to express the answer to the nearest thousandth square inch, we need to calculate the value of π/64 and round it to the nearest thousandth. Using a calculator, we get π/64 = 0.04908738521...
The area of a circle with a 1/4 inch diameter, we'll use the formula A = π\(r^2\), where A is the area, and r is the radius.
First, we need to find the radius.
Since the diameter is 1/4 inch, the radius (r) is half of that: 1/8 inch.
Now, we'll calculate the area: A = π\(\frac {1}{8} ^{2}\) = π(1/64) ≈ 0.0123 square inches. So, the area of the circle is approximately 0.0123 square inches to the nearest thousandth.
Rounding this value to the nearest thousandth gives us 0.049 square inches.
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3. Solve: (Warning: if you do not show work and get the wrong answer, you will get "0"
points on the test).
7x/3 = 14
Answer:
Step-by-step explanation:
Step 1: Multiply both sides by 3.
7x/3=14
(7x/3)*(3)=(14)*(3)
7x=42
Step 2: Divide both sides by 7.
7x/7=42/7
x=6