The standard form of a circle is
\(x^2+y^2=r^2\)Where r is the radius.
As you can observe 3 to the square power is equal to 9, which means the correct equation is the last option.
\(x^2+y^2=9\)Answer: Sure. What is your question?
Step-by-step explanation:
For the graph of the equation you wrote in Item 3, what does the y-intercept represent?
A. Hours left to complete
B. Total hours of service
C. Hours completed each day
D. Days it takes to complete 30 hours
Answer:
B
Step-by-step explanation:
Total hours of service not days
The y-intercept refers to the total hours of service
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is Susan who has to complete 30 hours of community service.
The equation representing the hours of service, Susan has left after [x] days is -
y = 30 - 2x
OR
y = - 2x + 30
Refer to the graph attached.
For the graph of the equation, the y-intercept refers to the total hours of service
Therefore, the y-intercept refers to the total hours of service.
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[Refer to the image for complete question]
Use: 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7 to construct a box-and-whisker plot. List the maximum, minimum, and quartiles below. has to be a sentence
A box-and-whisker plot which represent the given data set is shown in the image attached below.
The five-number summary for the given data set have been listed correctly below.
What is a box-and-whisker plot?In Mathematics, a box-and-whisker plot is sometimes referred to as a box plot and it can be defined as a type of chart that is used for the graphical or visual representation of the five-number summary of a data set with respect to locality, skewness, and spread.
By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:
Minimum = 0.First quartile = 4.Median = 7.Third quartile = 9.Maximum = 11.By critically observing the box-and-whisker plots (see attachment), we can logically deduce that all of the five-number summary for the given data set are correctly listed.
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I NEED HELP WITH STATISTICS
A. The null hypothesis H₀ and the alternative hypothesis H₁ are:
H₀: μ = 35 minutes H₁: μ > 35 minutes
B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.
C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.
What is a Type II error?A Type II error occurs when the null hypothesis is false, but the test does not reject it.
In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.
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This graph shows how fast a commuter train travels on its route in an urban area. What is the meaning of the point with an x-coordinate of 4
The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
From the graph, the x coordinate 2, have a y coordinate of 120. Hence:
The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.
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A small data analysis class has six computer science majors among the fourteen total students. Three people are chosen at random to form a group. Let X be the number of computer scientists in this group. (a) Find E(X). (b) Find Var(X).
the variance will be 0.6217.
What is frequency distribution?
The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.
A small data analysis class has six computer science majors among the fourteen total students.
Three people are chosen at random to form a group.
here this is hypergeometric distribution with parameter n=sample size =3 ; N =population size =14
and k=computer sience major =6
a) E(X) =nk/N =3*6/14 =18/14 =9/7 =1.2857
b)|varaince =σ²=(nk/N)*(1-k/N)*(N-n)/(N-1)) =(3*6/14)(1-6/14)*(14-3)/(14-1)= 0.6217
Hence, the variance will be 0.6217.
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The price of a gallon of unleaded gas was $2.81 yesterday l. Today, the price rose to $2.88. Find the percentage increase
Answer:
7%
Step-by-step explanation:
Solve for x.
(8x - 3) 3
(16x - 33)
Answer:
24x-9
Step-by-step explanation:
(8x-3)3
(3×8x)+(3×-3)
24x-9
find the area and perimeter of the rectangular image with length 12 cm and width 11 cm
PLEASE HELP ME!!! f(x) = x2. What is g(x)?
Answer:
g(x)=3x^2
Step-by-step explanation:
A softball team bought 24 jerseys and 15 hats for a total cost of $1713. Later, they bought 5 more jerseys and 12 more hats for a total cost of $490. If the cost per item was the same for each order, what was the cost of each jersey and each hat ?
Answer:
x represents jerseys, y represents hats
x= $62 y=$15
Step-by-step explanation:
Now I used a matrix (linear algebra), but I think elimination is better for you
So the idea of elimantion is so that both side have one variable that is the same
so we know that the equations are
4(24 x + 15y = 1713)
-5(5x + 12x = 490)
Multiply first equation by 4 and second equation by -5
If two of the varblies have opposite signs it means you are adding, but its subtracting if they have the same signs!
96x+60y=6852
+ −25x−60y=−2450
71x + 0y =4402
71x/71 = 4402/71
x= 4402/71
x=62
Now that we know this, we can plug into any other the orignial equation of x to get y.
I'll use the first one
24x+15y=1713
substitute 62 for x
(24)(62)+15y=1713
15y+1488=1713(Simplify both sides of the equation)
bring 1488 to the other side (swaps signs)
15y= 1713−1488
15y=225
15y/15 = 225/15
y= 15
Therefore, x= 62 and y= 15 or cost of the jerseys is $62 each and cost of hats is $15 each.
Helppp meeeee plssss I would me the world
Answer:
its 3 trust me
Step-by-step explanation:
Answer:I’m thinking it’s the first one but someone else might know for sure sorry
Step-by-step explanation:
A cylinder has a radius of 4
inches and a height of 7 inches.
Find the surface area of the
cylinder.
Following the October 15, 2019, fourth Democratic debate, Drudge Report ran an online poll on its website and asked readers who won the debate. A total of 208,001 votes were cast, with Gabbard receiving 79,881 votes (38%), Yang receiving 37,944 votes (18%), Buttigieg receiving 25,337 votes (12%), Warren receiving 14,405 votes (7%), Kloubachar receiving 13,142 votes (6%), Biden receiving 11,246 votes (5%), Steyers receiving 7,791 votes (4%), Sanders receiving 7,672 votes (4%), and the remaining candidates each receiving 1% or fewer votes. The sample size for this poll is much larger than is typical for polls such as the Gallup Poll. Explain why the poll may give unreliable information about the voting population, even with such a large sample size.
Although the sample size for the poll is much larger than is typical for polls such as the Gallup Poll, the poll may give unreliable information about the voting population, even with such a large sample size, due to the following reasons:
First, it is an online survey, where the interviewer does not decide who to interview and, therefore, the sample from which the result is obtained has not passed through the necessary heterogeneity filters. Second, because even in the case of a large number of people, since these voters are voluntary, there is no certainty that their responses are objective or neutral, which affects the final result.
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can u answerr for me pls
Part A:
The graph of the line intersects the x-axis at the point (4, 0).
Part B:
The point represents the distance of Shari from the home.
After 4 minutes, Shari rushed past her house.
What is a graph?A function graph is a visual representation of a relation. A function is actually equal to its graph in set theory and current mathematical foundations. For instance, when deciding whether or not a function is onto (surjective), a codomain should be taken into account. The graph of a function alone does not reveal the codomain. Although they relate to the same thing, the terms "function" and "graph of a function" communicate different perspectives on it, which is why they are commonly employed.
The line's x-intercept is 4 minutes.
The time Shari will arrive at her house is indicated by the 4 minutes.
Shari's distance from home on her run across town is represented by the line 6x - 3y = 24......... (1), where y stands for blocks, and x for minutes.
Therefore, when y = 0, we obtain 6x - 0 = 24, which equals x = 4, from equation (1) above.
As a result, 4 minutes is the x-intercept of the line (1).
It is stated that Shari will get at her house in 4 minutes, and there are no blocks between them.
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please answer quick and fast its due today.I only have two questions
Answer:
$3000.00
Step-by-step explanation:
650 x 4
=2600
2600+400
=3000
#6: Tell whether the function below is 1 point
linear or exponential.
*
f(x) = -1/4x + 5
Answer:
Linear function
Step-by-step explanation:
Given
\(f(x) = -\frac{1}{4}x + 5\)
Required
Linear or Exponential
A linear equation has the form: \(f(x) = mx + c\);
An exponential has the form: \(f(x) = ab^x\)
By comparing both functions to: \(f(x) = -\frac{1}{4}x + 5\)
The linear function is similar to \(f(x) = -\frac{1}{4}x + 5\)
Hence, the given function is a linear function.
You go fishing at Blue Lake Lagoon. The price is $3 one-time fee for a fishing permit and $18 for each hour spent fishing. Write a linear equation in slope-intercept form to model this situation.
Answer: y=18x+3
Step-by-step explanation:
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answer:
B, C, E
Step-by-step explanation:
Let y = length.
Then, y - 5 = width.
area = length × width
area = y(y - 5)
area = 750
y(y - 5) = 750
y² - 5y = 750
A: y(y + 5) = 750
Since y = length, width must be y - 5, not y + 5, so A does not work.
B: y² - 5y = 750
This is what we got above, so this equation works.
C: 750 - y(y - 5) = 0
750 = y(y - 5)
750 = y² - 5y
This is the same as B and works.
D: y(y - 5) + 750 = 0
y(y - 5) = -750
The area cannot be -750, so this equation does not work.
E: (y + 25)(y - 30) = 0
y = -25 or y = 30
This also works.
Answer: B, C, E
use an appropriate taylor series to find the first four nonzero terms of an infinite series that is equal to ln(5/3).
The appropriate Taylor series for an infinite series with the first four nonzero terms equal to ln(5/3) is 0/1!, 0/2!, 0/3!, and 0/4! .......
What is taylor series?An infinite sum of words that are expressed in terms of a function's derivatives at a single point is known as the Taylor series or Taylor expansion of a function in mathematics. Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions. The polynomial or function of an infinite sum of terms is the Taylor series. The exponent or degree of each succeeding term will be greater than the exponent or degree of the one before it.
The formula is:
∑n=0 to ∞(fⁿ(a)(x-a)ⁿ)/n!
Here,
∑n=0 to ∞(fⁿ(a)(x-a)ⁿ)/n!
at n=1,
=0/1!
at n=2,
=0/2!
at n=3,
=0/3!
at n=4,
=0/4!
Appropriate taylor series for first four nonzero terms of an infinite series that is equal to ln(5/3) is 0/1!, 0/2!, 0/3!, 0/4!.......
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!QUESTION ON PIC THX
Answer:
alright we know a variable next to a number like this 2x means what’re your
variable is, you multiply it. In our case this is very simple because it told us what x is
x= The left column
So the answers would be like
y=3+2(3)
y=3+2(4)
y=3+2(5)
y=3+2(7)
then you just multiply to find out what y equals
y=3+2(3)= y= 9
y=3+2(4)= y=11
y=3+2(5)= y=13
y=3+2(7)= y=17
Hope this helps :3
NEED HELP ASAP!! Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
Answer:
No.
There's no congruence theorem or statement that proves that 2 triangles with 2 sides and a non-included angle are congruent to each other.
Step-by-step explanation:
The triangles given, ∆ABC and ∆CYZ both have a non-included angle and two sides given that are congruent to each other.
However, this alone is not enough to prove that both ∆s are congruent to each other because there is also possiblity of another ∆ that will have the same two equal sides and a non-included angle as any of the 2, and can thereby have different shape and size.
There's also no congruency statement that proves that two triangles with congruent two sides and a non-included angle are congruent to each other.
Therefore, the information to us is not enough.
Twenty-seven less than eight times a number is equal to five. What is the number?
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.
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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Help on this question please.
Answer:
a) P = 6x + 13//
b) i) x = 5//
ii) 9//
Step-by-step explanation:
a) P = 2(x+2) + 2(2x-1) + 3 + 8 m
= 2x+4 + 4x-2 + 3 + 8
= 6x + 13//
b) i) P = 43 m
43 = 6x + 13
43-13 = 6x
30 = 6x
6 6
x = 5//
ii) longest side = (2x-1) m
2 × 5 - 1
10-1 = 9//
Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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Four items are purchased at prices of $5.30, $1.29, $.53, and $.68. Sales tax applies at 5% of the total purchase price. What is the total charge?
Answer:
$8.19
Step-by-step explanation:
1. Add the cost of the items together
5.3 + 1.29 + 0.53 + 0.68 = 7.8
2. Solve for 5% of the cost of the items
5% = 0.05
7.8 · 0.05 = 0.39
3. Add the sales tax to the price of the items
7.8 + 0.39 = 8.19
Explanation:
Add up the prices
5.30 + 1.29 + 0.53 + 0.68 = 7.80
This is the total amount before tax is added. To find the amount after tax, we multiply by 1.05 to get
1.05*7.80 = 8.19
Or a longer way is to find 5% of 7.80 getting 0.05*7.80 = 0.39 in the amount of tax owed, which is added on top of the previous total we got earlier. So we have 7.80 + 0.39 = 8.19
The use of the multiplier 1.05 is handy when you need to apply multiple percentage increases (it also works if you have multiple discounts as well).
Find the exterior of a rectangle in a polygon
The measure of each exterior angles of rectangle is 90°
Finding the exterior of a rectangle in a polygonFrom the question, we have the following parameters that can be used in our computation:
A rectangle
A rectangle is a polygon with 4 sides
So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon
The exterior angles in a polygon are found by using:
Exterior of a rectangle in a polygon = 360°/Number of sides of the polygon
In this case,
The number of sides of the rectangle = 4
So, we have
Exterior of a rectangle = 360°/4
Evaluate
Exterior of a rectangle = 90°
Hence, the value of the measure of each exterior angles of rectangle is 90°
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Complete question
Find the measure of each exterior angles of rectangle?
Step by step
In a certain video game, there is a mini-game where the main character can choose from a selection of twenty
presents. The presents are wrapped, so the character does not know what is in them. If 7 presents contain money, 3
presents contain gems, 6 presents contain ore, and 4 presents contain fish, what is the probability that the main
character does not choose a present that contains a gem?
Your answer should be an exact decimal value.
The probability of randomly selecting a present that does not contain a gem is
Answer:
There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.
The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.
hope it helps you...
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
3x4
Name? [?]
Degree? [ ]
Answer:
monopoly, order 1
Step-by-step explanation:
because the x has just power of one that is why is monopoly and in order 1
A mathematical model is a simplified description of a system or a process. In your opinion, how are mathematical models helpful? What are the advantages and disadvantages of using a model? In what ways are mathematical models linked to the fields of chemistry, biology, and physics? Cite several examples.
Given statement solution is :- Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages: Simplification and abstraction, Prediction and simulation, Cost and time efficiency, Insight and understanding.
Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages:
Simplification and abstraction: Mathematical models allow complex systems or processes to be represented using simplified mathematical equations or algorithms. This simplification helps in understanding the underlying principles and relationships of the system, making it easier to analyze and predict outcomes.
Prediction and simulation: Models enable scientists to make predictions about the behavior of a system under different conditions. They can simulate scenarios that are difficult or impossible to observe in the real world, allowing researchers to explore various hypotheses and make informed decisions.
Cost and time efficiency: Models can be used to explore different scenarios and test hypotheses in a relatively quick and cost-effective manner compared to conducting real-world experiments. They can help guide experimental design by providing insights into the most relevant variables and parameters.
Insight and understanding: Mathematical models often reveal underlying patterns and relationships that may not be immediately apparent from experimental data alone. They provide a framework for organizing and interpreting data, leading to a deeper understanding of the system being studied.
However, mathematical models also have limitations and potential disadvantages:
Simplifying assumptions: Models are based on assumptions and simplifications, which may not fully capture the complexity of the real-world system. If these assumptions are incorrect or oversimplified, the model's predictions may be inaccurate or misleading.
Uncertainty and error: Models are subject to uncertainties and errors stemming from the inherent variability of the system, limitations in data availability or quality, and simplifying assumptions. It is crucial to assess and communicate the uncertainties associated with model predictions.
Validation and verification: Models need to be validated and verified against experimental data to ensure their accuracy and reliability. This process requires rigorous testing and comparison to real-world observations, which can be challenging and time-consuming.
Mathematical models are closely linked to the fields of chemistry, biology, and physics, providing valuable insights and predictions in these disciplines. Here are some examples:
Chemistry: Mathematical models are used to study chemical reactions, reaction kinetics, and molecular dynamics. One example is the use of rate equations to model the kinetics of a chemical reaction, such as the reaction between reactants A and B to form product C.
Biology: Mathematical models play a crucial role in understanding biological systems, such as population dynamics, gene regulation, and the spread of infectious diseases. For instance, epidemiological models like the SIR (Susceptible-Infectious-Recovered) model are used to simulate and predict the spread of diseases within a population.
Physics: Mathematical models are fundamental in physics to describe physical phenomena and predict outcomes. One well-known example is Newton's laws of motion, which can be mathematically modeled to predict the motion of objects under the influence of forces.
Quantum mechanics: Mathematical models, such as Schrödinger's equation, are used to describe the behavior of particles at the quantum level, providing insights into atomic and molecular structures and the behavior of subatomic particles.
Fluid dynamics: Mathematical models, such as the Navier-Stokes equations, are employed to study the behavior of fluids, including airflow, water flow, and weather patterns.
These examples demonstrate the wide range of applications for mathematical models in understanding, predicting, and simulating various phenomena in the fields of chemistry, biology, and physics.
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