ejejnAn equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?
The equation 9(u + 2) = -45 is solved in several steps below. For each step, choose the reason that best justifies it.
Step 1: Distributive property:
Step 2: Subtraction Property of Equality
Step 3: Simplifying
Step 4: Division property of equality
Step 5: Simplifying
Explanation:Given the expression
9(u + 2) = -45
Step 1: Expand using the Distributive property:
9u + 9(2) = -45
9u + 18 = -45
Step 2: Subtract 18 from both sides (Subtraction property of equality)
9u + 18 - 18 = -45 - 18
Step 3: Simplifying
9u = -63
Step 4: Divide both sides by 9 (Division property of equality)
9u/9 = -63/9
Step 5: Simplifying
u = -7
5(1+n)=-5 someone help!!!!!!!!!!!
Answer: -2
Step-by-step explanation:
-Distribute : 5+5n=-5
-Set both sides : 5n=-10
-Divide : -10/5n = -2
Which of the following are solutions to the equation tan2x - 1 = 0? Check all that apply. - A. 30 4 WEB 과 С. kle D.
The given equation is
\(\tan ^2x-1=0\)Adding 1 on both sides, we get
\(\tan ^2x-1+1=0+1\)\(\tan ^2x=1\)\(\tan ^2x=1^2\)Taking square root on both sides, we get
\(\tan ^{}x=1\)\(\text{ Use }\tan (\frac{\pi}{4})=1.\)\(\tan ^{}x=\tan (\frac{\pi}{4})\)\(x=\frac{\pi}{4}\)Hence the solution is
\(x=\frac{\pi}{4}\)Option B is correct.
Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
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i really need help, please
here, base(b)=7, perpendicular(p)=8 and hypotenuse(h)=?(c)
by using pythagoras theorem.
h^2=p^2+b^2
or,h^2=8^2+7^2
or,h^2=113
or,h=
\( \sqrt{113} \)
A rectangle is 4 times as long as it is wide. The perimeter of a rectangle is 50cm. Whatvis the length and width of the rectangle?Define the Variable & Write the Equations
Defining the variables:
\(x\longrightarrow\text{ width}\)since the length is 4 times as long as the width
\(4x\longrightarrow\text{length}\)Now, we use the formula for perimeter of a rectangle:
\(\text{Perimeter}=2(WIDTH)+2(length)\)And we substitute the value of perimeter 50cm and the values defined for length and width:
\(50=2(x)+2(4x)\)We solve this equation for x:
\(\begin{gathered} 50=2x+8x \\ 50=10x \end{gathered}\)we divide both sides by 10:
\(\begin{gathered} \frac{50}{10}=x \\ 5=x \end{gathered}\)We have the values of x.
Since we are asked for the length and width:
\(\begin{gathered} \text{width}\longrightarrow x=5 \\ \text{length }\longrightarrow4x=4(5)=20 \end{gathered}\)Answer:
width: 5cm
length: 20cm
3. Do complementary and supplementary angles also have to be adjacent angles? Explain.
Complementary and supplementary angles can be adjacent or non-adjacent; their relationship is based on the sum of their measures, not their spatial arrangement.
How complementary and supplementary angles be adjacent?No, complementary and supplementary angles do not have to be adjacent angles.
Complementary angles are two angles that add up to 90 degrees. For example, if angle A measures 30 degrees, then its complementary angle B would measure 60 degrees. Complementary angles can be adjacent (when they share a common vertex and side) or non-adjacent (when they are not next to each other).
Supplementary angles, on the other hand, are two angles that add up to 180 degrees. For example, if angle C measures 120 degrees, then its supplementary angle D would measure 60 degrees. Like complementary angles, supplementary angles can be adjacent or non-adjacent.
In summary, the terms complementary and supplementary refer to the relationship between the measures of angles, rather than their spatial arrangement. Adjacency is a separate concept that refers to angles that share a common vertex and side. Complementary and supplementary angles can be adjacent or non-adjacent depending on their spatial configuration.
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Which rule maps figure 1 onto figure 2
Answer:
Step-by-step explanation:
1. Two crucial tasks inherent in the initial stage of group therapy are orientation and ______________.
2. Ambiguity and lack of a structured approach in groups often lead to:
Two crucial tasks inherent in the initial stage of group therapy are orientation and establishing group norms.Ambiguity and lack of a structured approach in groups often lead to confusion, inefficiency, and potential challenges.
Orientation involves providing essential information to group members about the purpose, goals, and guidelines of the therapy group.
It helps individuals understand what to expect, builds trust, and creates a sense of safety and predictability within the group. Orientation may include discussing confidentiality, group rules, expectations, and addressing any questions or concerns.
Establishing group norms involves collaboratively developing shared guidelines and expectations that govern the behavior and interactions within the group. This process allows group members to contribute to the creation of a supportive and respectful group climate. Group norms help set boundaries, encourage open communication, and foster a sense of cohesion among members.
Without clear structure and guidance, group members may struggle to understand their roles, goals, or the process of the group therapy. Ambiguity can hinder progress, create frustration, and impede meaningful communication.
Lack of structure may also result in difficulty managing conflicts, decision-making, or time management within the group. It can lead to unequal participation, power struggles, and a lack of accountability.
To address these issues, it is important for group therapy to provide a clear framework, establish ground rules, and facilitate structured activities or interventions that promote clarity, engagement, and progress. A structured approach helps create a supportive environment, enhances group dynamics, and maximizes the therapeutic benefits of the group process.
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your cousin says that if two fractions have the same numerator,then the fraction with the greater denominator is the greater fraction. is your cousin correct explain
It is not always true that if two fractions have the same numerator, then the fraction with the greater denominator is the greater fraction.
The statement that if two fractions have the same numerator, then the fraction with the greater denominator is the greater fraction is not always correct. This is because the value of a fraction is determined by both its numerator and denominator, and if the denominators of two fractions with the same numerator are different, then the fractions are not directly comparable.
Consider the fractions 3/4 and 3/5. Both have a numerator of 3, but the denominator of the first fraction is greater than the denominator of the second fraction. However, 3/5 is actually the greater fraction because it represents a larger portion of the whole.Consider the fractions 5/7 and 5/9. Both have a numerator of 5, but the denominator of the second fraction is smaller than the denominator of the first fraction. Therefore, 5/7 is the greater fraction because it represents a larger portion of the whole.
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1. Give two "real-world" examples (with the stochastic matrix and what it is modeling) of Markov chain models which contain: (a) Periodic classes (groups) of states (b) An ergodic system
Markov chain model with periodic classes of states can be exemplified by a weather model and ergodic system in a Markov chain is the game of Monopoly.
Example of Markov chain with periodic classes of states:
One example of a Markov chain model with periodic classes of states is a weather model that includes seasonal variations. Let's consider a simplified model with three states: sunny, cloudy, and rainy. In this model, the weather is observed over a long period of time, and it is known that the weather tends to follow a cyclic pattern, transitioning from one season to another. The stochastic matrix representing this Markov chain will have non-zero probabilities for transitions between states within the same season (e.g., sunny to sunny, cloudy to cloudy, rainy to rainy), but zero probabilities for transitions between states in different seasons (e.g., sunny to rainy, rainy to cloudy). This creates periodic classes or groups of states that correspond to the different seasons, resulting in a Markov chain with periodic behavior.
Example of ergodic system in a Markov chain:
A common example of an ergodic system in a Markov chain is the game of Monopoly. In Monopoly, players move around the board based on the outcome of rolling dice. The states in this Markov chain correspond to the positions on the board. Each roll of the dice determines the transition probabilities from one state (position) to another. In an ergodic system, it means that it is possible to reach any state from any other state in a finite number of steps. In the context of Monopoly, this means that players can move from any position on the board to any other position by rolling the dice and following the game rules. The stochastic matrix for this Markov chain will have non-zero probabilities for transitions between all states, reflecting the possibility of moving to any position on the board from any other position.
In summary, a Markov chain model with periodic classes of states can be exemplified by a weather model that represents the cyclic nature of seasons, while an example of an ergodic system in a Markov chain is the game of Monopoly, where players can reach any position on the board from any other position through successive dice rolls and gameplay.
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In a simple linear regression model, if the plots on a scatter diagram lie on a straight line, what is the standard error of the estimate?a. +1b. 0c. Infinityd. -1
Answer:
In a simple linear regression model, if the plots on a scatter diagram lie on a straight line, what is the standard error of the estimate b. 0
Step-by-step explanation:
If the plots on a scatter diagram lie on a straight line in a simple linear regression model, it indicates a perfect fit between the predictor variable and the response variable. In this case, the standard error of the estimate would be 0.
The standard error of the estimate represents the average distance between the observed values and the predicted values by the regression model. When the scatter diagram forms a perfect straight line, it means that the regression model can precisely predict the response variable using the predictor variable without any error.
Consequently, the residuals, which are the differences between the observed and predicted values, become zero for all data points, resulting in a standard error of 0. It is important to note that this scenario of a perfect fit on a scatter diagram is rare in real-world data, as there are typically variations and uncertainties in the relationship between variables.
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The sail of a boat is in the shape of a right triangle. which expression shows the length, in meters, of the sail? the sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long. 7(tan 50°) 7(sin 50°) tangent 50 degrees over 7 sine 50 degrees over 7
The expression for the length of the sail is x = 7( tan 50° ).
According to the given question.
The sail of a boat is in the shape of a right triangle.
And, the sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long.
Now, the side that measures 7 meters would be the adjacent because its right next to the angle and its not the hypotenuse because its not the largest side
And, the side which we do not know the length to will be the opposite side because it is opposite from where the angle is.
So, we have the the measure of the adjacent side and the angle of the tip. And we have to find the expression for the length of the sail.
Let the length of the sail be x meters.
Now, in the given right angled triangle
We can say that
tan A = Opposite side/Adjacent side
⇒ tan 50° = x/7
⇒ x = 7( tan 50° )
Hence, the expression for the length of the sail is x = 7( tan 50° ).
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Joses went on a cruise to the Bahamas. His total cost for the trip is $810.
This included $121.41 per day for his room, a jet ski package for $250, and a snorkeling package for $75
How many days did his cruise last?
Answer:
4
Step-by-step explanation:
yep 4 days cuz logicaly
Please provide explanation.
Answer:
100 square meters
Step-by-step explanation:
\( {x}^{2} + 6x + 8x = 240\)
\( {x}^{2} + 14x = 240\)
\( {x}^{2} + 14x - 240 = 0\)
\((x - 10)(x + 24) = 0\)
\(x = 10\)
x = -24 will not work (it is extraneous).
\( {x}^{2} = 100\)
So the area of the square region is 100 square meters.
A. Observations B. An experiment C. An experiment in which D. Systematic observations,
Answer:
B.
Step-by-step explanation:
It's an experiment Hope it helped you brainiest plz
Answer:
B. An experiment
Step-by-step explanation:
hope it helps
Nijah has 45 stickers. She gives 2 5 to her sister. She gives 1 3 of her remaining stickers to Brett. How many stickers does Nijah have left?
Answer: 18
Step-by-step explanation:
Nijah has 18 stickers left
hope this helps.❤❤
THANK YOU.
give a binary representation for each number given below in hex. drop the leading zeroes in your binary representation. (a) a3 (b) 1fc (c) 2a0b
The binary representation is (a) a3 in binary is 10100011(b) 1fc in binary is 11111100(c) 2a0b in binary is 1010100000001011
In hexadecimal, each digit represents four bits, which means that two hexadecimal digits can represent eight bits. As a result, converting from hexadecimal to binary is straightforward. The four bits corresponding to each hexadecimal digit can be written down, resulting in an 8-bit binary value.
To convert hexadecimal to binary, simply convert each hexadecimal digit to binary, then combine them to get the final binary representation. For instance, in a, the hexadecimal digit a has a binary representation of 1010, while the digit 3 has a binary representation of 0011.
Combining these results in a binary representation of 10100011. Similarly, the binary representations of 1f and c are 00011111 and 00001100, respectively.
Combining them results in 11111100. Finally, the binary representation of 2a0b is obtained by converting 2, a, 0, and b to binary, resulting in 0010, 1010, 0000, and 1011, respectively. Combining them results in 1010100000001011.
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Tyler had to make a payment of $1,200 in 9 months and $2,350 in 20 months, to a raw material supplier. What single payment in 4 months would settle both these payments? Assume a simple interest rate of 4.75% p.a. and use 4 months from now as the focal date.
The single payment that Tyler needs to make in 4 months to settle both payments is $3,497.07.
To calculate the single payment, we can use the following formula:
Single payment = Present value of first payment + Present value of second payment + Interest
The present value of a future payment is the amount of money that would be needed today to have the same value as the future payment, assuming a certain interest rate.
In this case, the interest rate is 4.75% per year, and the focal date is 4 months from now. This means that the present value of the first payment is:
Present value of first payment = 1200 / (1 + 0.0475)^0.25
= 1113.07
The present value of the second payment is:
Present value of second payment = 2350 / (1 + 0.0475)^2
= 1992.40
The interest that will accrue on the first payment between now and the focal date is:
Interest on first payment = 1200 * 0.0475 * 0.25
= 12.13
The interest that will accrue on the second payment between now and the focal date is:
Interest on second payment = 2350 * 0.0475 * 1.75
= 18.28
Adding all of these together, we get the single payment that Tyler needs to make in 4 months:
Single payment = 1113.07 + 1992.40 + 12.13 + 18.28
= 3497.07
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You are offered two jobs. One with a yearly salary of $51,670, and the other an hourly
job with a rate of $26 per hour. Both require you to work for 45 hours a week. How
much more will you make by taking the hourly job?
Answer:
$9170 per year , or ≈ $3.92 per hour
Step-by-step explanation:
We can solve this by putting both of these in terms of yearly salary and going from there.
The first job is already in terms of yearly salary.
The hourly rate job is $26 per hour. There are 45 hours worked per week, and we add $26 for each hour. Another way of saying this is 26 * 45 = total amount earned for the week = $1,170 .
There are 52 weeks in a year, and you make $1,170 per week on the hourly job. This means that over 52 weeks, you will earn 1170 * 52 = 60840. This is the yearly rate for the second job.
The difference between the two jobs is
60840 - 51670 = $9170 per year. Dividing by 52 to get the weekly gain, we get ≈ $176.35 more for the hourly job each week. Dividing by 45 to get the hourly gain, we get ≈ $3.92 dollars from taking the second job
If m27 = 55°, which of the following statements are true? Select all that apply.
2
3
4
5/6
8
A m26 = 55°
B
m25 = 135°
Cm21 + 24 = 250°
Dm21 + m26 = m 27+ m24
Answer:
2, 3 , 5/6, b
Step-by-step explanation:
Given that y = 10 cm and θ = 40°, work out x rounded to 1 DP.
We can cοnclude after answering the prοvided questiοn that Hence, x trigοnοmetry rοunded tο 1 DP is 11.9 cm.
What is trigοnοmetry?Trigοnοmetry is the math discipline that investigates the relatiοnship between angle side lengths and their angles. The tοpic first emerged in the Hellenistic era, arοund the third century BC, as a result οf the applicatiοn οf symmetry in astrοnοmical studies. The branch οf mathematics knοwn as precise methοds is cοncerned with certain integrals functiοns and their practical benefits in cοmputatiοns. Trigοnοmetry has six cοmmοnly used trigοnοmetric functiοns.
\($\begin{array}{l}{{ \rm t a n \theta =o p p o s i t e/a d j a c e n t}}\\ {{ \rm t a n40=y/x}}\\ {{ \rm x=y/t a n40}}\\ {{ \rm x=10/t a n40}}\end{array}$\)
Using a calculatοr, we find that tan 40° ≈ 0.8391 (rοunded tο 4 decimal places).
x ≈ 11.92 cm
Hence, x rοunded tο 1 DP is 11.9 cm.
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Complete question:
Convert 99000 milligrams into pounds. Round your answer to the nearest hundredth.
Answer:
0.22
Step-by-step explanation:
i need help please and thank u
When dividing the result of 2x³ + x² - 2x + 8 by x + 2, the result will be B. 2x² - 3x + 4.
How to calculate the polynomial?A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. A polynomial is an expression made up of terms, exponents, constants, and variables (or indeterminate).
In this case, it should be noted that the multiplication of 2x² - 3x + 4 by x + 2 will be:
(2x² - 3x + 4) (x + 2)
2x³ + 4x² - 3x² - 6x + 4x + 8
= 2x³ + x² - 2x + 8
Therefore, the correct option is B.
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a 20 ft ladder leans against building so that the angle between the ground and the ladder is 60 degrees. how far from the building is the base of the ladder?
Salut/Hello!
Answer: 20 ft
Step-by-step explanation:
We can imagine the ladder, wall and ground as a triangle.
(And because we don't know if our triangle has a 90 degrees angle it means it's an ordinary triangle.)
We know that a triangle that has an angle with 60 degrees means all of its angles have 60 degrees because 180 : 3 angles = 60 degrees which means the triangle is equilateral.
Definition of the equilateral triangle: The triangle that has the 3 side with the exact same length.
From the equilateral triangle we know all sides are equal. If the ladder is 20 ft that means the distance between the building and the base of the ladder (which is actually the base of our triangle) is 20 ft.
I hope it was useful! :]
A disadvantage of the experimental method is that participants are not asked to provided informed consent it cannot be used to determine cause and effect relationships data usually are analyzed through:
The main disadvantage of the experimental method is the lack of informed consent. Data is typically analyzed using statistical techniques.
A disadvantage of the experimental method is that participants are not asked to provide informed consent. This statement is not accurate. In ethical research, obtaining informed consent is a fundamental requirement, regardless of the research method used. Informed consent ensures that participants are fully aware of the nature of the study, its purpose, potential risks and benefits, and their rights as participants. It allows individuals to make an informed decision about their participation, and it is crucial for upholding ethical standards and protecting participants' autonomy and well-being.
Regarding the second part of your question, data obtained through the experimental method are typically analyzed using statistical techniques. Statistical analysis allows researchers to examine the data and draw conclusions based on the results.
This analysis can involve various methods, such as hypothesis testing, confidence intervals, regression analysis, ANOVA (analysis of variance), t-tests, chi-square tests, and others, depending on the research question and the type of data collected.
The goal is to analyze the data in a way that allows researchers to make inferences and draw conclusions about the relationships between variables or the effects of experimental manipulations.
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Annabeth is a salaried employee who earns additional compensation for all hours over
40 worked in one week. Her bi-weekly gross earnings are $913.45. If she is paid time-
and-a-half for her overtime hours, what are her bi-weekly gross earnings if she works
47 hours during a week of her pay period? (6 points)
Annabeth's bi-weekly gross earnings, including overtime compensation, would be $1,097.56.
What is amount?Amount is a term used to describe a quantity or size of something. It is used to refer to a number of objects, items, or people, as well as a measure of money, time, or distance. Amount is also used to describe the total sum of money that is owed, received, or spent.
This amount is calculated by multiplying her hourly rate of $21.84 (which is determined by dividing her bi-weekly gross earnings of $913.45 by 40 hours) by 47 hours, which is the total number of hours worked in the week. Then, her overtime compensation of 7 hours is multiplied by her hourly rate of $21.84 multiplied by 1.5, which is the rate for time-and-a-half. The sum of these two amounts is her bi-weekly gross earnings with overtime, which is $1,097.56.
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Please help Expert and Above Only! I will double the points if you can explain it! Both questions please!
Problem 11
Answer: 339 square meters---------------
Work Shown:
The surface area of a 3D sphere is 4pi*r^2. So a hemisphere has surface area 2pi*r^2 since we cut the surface area in half.
Plug in r = 6 (half of the diameter 12) and we get 2pi*r^2 = 2pi*6^2 = 72pi
Now consider the circle with radius r = 6. Its area is pi*r^2 = pi*6^2 = 36pi
Add the two areas and we get 72pi+36pi = 108pi
Lastly, use your calculator to get 108pi = 108*3.1415926535898 = 339.292006587699 which rounds to 339
======================================
Problem 12
Answer: C) 19.5 mm---------------
Explanation:
Look at where the "0" in the bottom sliding portion lines up with the number scale above. That "0" is between 19 and 20 mm. So you could argue that 19.2 and 19.5 are both valid answers, but I think 19.5 is the better answer since the tickmark seems to be right in the middle (more or less).
Step-by-step explanation:
surface area of hemisphere =3πr²
=3*3.14(6)²
=339.12m²
diameter of pipe= 19.5mm
In a survey of 2,500 people who owned a certain type of car,1,625 said they would buy that type of car 1,625again. What percent of the people surveyed were satisfied with the car?
Answer:
to do this we have to find what percent of 2500 1625 is so we have to divide 1625 by 2500
which is 0.65 which when then multiply by 100 to get
65%
Megan wants to put 1/3 of a kilogram of bird seed in each of the bird cages in her pet shop.
She has 2/3 of a kilogram of bird seed left. How many cages can she refill with bird seed?
Answer:
She can refill 2 cages.
Step-by-step explanation:
Since Megan puts 1/3 of a kilogram of bird seed in each bird cage, she can fill 2 cages.
Answer: she can fill 2 times the amount of cages she has.
say: x=the cages
so 2x/ 2 times of the cages
hope this helps! i tried :)