13 is the value of z from the given figure.
What are the properties of Triangle?The properties of the triangle are:
The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.From the given figure,
∠ABE + ∠EBC =. 180
∠EBC = 180- ∠ABE
∠EBC = 180 - 9z -----(1)
∠ECB + 115 = 180
∠ECB = 65-----(2)
IN ∆EBC
∠BEC + ∠ECB + ∠EBC = 180
4Z + 180- 9Z + 65 = 180 ---------(from eq i & ii)
-5Z = -65
Z = -65/-5y
Z = 13
The value of z from the given figure is 13.
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Complete question:
Fuel costs have risen quickly during recent years as consumption, refining and production costs have risen sharply. Supply and demand conditions in the perfectly competitive domestic crude oil market are: QS = -250 + 7P (Supply) QD = 260 - 7P (Demand) where Q is quantity in millions of barrels per day, and P is price per barrel. Find the market equilibrium price. Note: To be at equilibrium, QS must equal QD
Answer:
The market equilibrium price is approximately $36.43 per barrel.
Step-by-step explanation:
To find the market equilibrium price, we need to set the quantity supplied (QS) equal to the quantity demanded (QD) and solve for the price (P).
Given:
QS = -250 + 7P
QD = 260 - 7P
Setting QS equal to QD:
-250 + 7P = 260 - 7P
Now, let's solve for P:
Add 7P to both sides:
-250 + 7P + 7P = 260 - 7P + 7P
Combine like terms:
14P - 250 = 260
Add 250 to both sides:
14P - 250 + 250 = 260 + 250
Simplify:
14P = 510
Divide both sides by 14:
14P/14 = 510/14
Simplify:
P = 36.43
The market equilibrium price can be found by setting the quantity supplied (QS) equal to the quantity demanded (QD) and solving for the price (P) that satisfies this condition.
In the given scenario, the supply function is QS = -250 + 7P, and the demand function is QD = 260 - 7P. To find the equilibrium price, we set QS equal to QD:
-250 + 7P = 260 - 7P
Simplifying the equation, we get:
14P = 510
Dividing both sides by 14, we find:
P = 36.43
Therefore, the market equilibrium price is approximately $36.43 per barrel. At this price, the quantity supplied and quantity demanded will be equal, resulting in a state of equilibrium in the perfectly competitive domestic crude oil market.
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fundamentals of differential equations and boundary value problems 7th edition
Differential equations and boundary value problems are mathematical equations that contain derivatives of unknown functions and their variables.
These equations are used to model a wide range of physical, biological, and chemical processes. The seventh edition of Fundamentals of Differential Equations and Boundary Value Problems by R. Kent Nagle, Edward B. Saff, and Arthur David Snider is a comprehensive textbook that covers the fundamentals of these equations.Differential equations and boundary value problems are mathematical equations that contain derivatives of unknown functions and their variables. It includes topics such as first order equations, higher order linear equations, systems of equations, Laplace transforms, Fourier series, and numerical methods. It also contains a variety of worked examples, exercises, and applications to help students understand the material. Examples include solving initial value problems, boundary value problems, and inverse problems. The book also provides a step-by-step approach to solving problems, including the use of formulas such as the Euler-Cauchy formula, the Picard-Lindelof formula, the Runge-Kutta formula, the Laplace transform, and the Fourier series.
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Complete question:
Find the solution to the differential equation dy/dx + 4y = 0, given the boundary values y(0) = 2 and y(2) = 0.
according to government data, 22% of american children under the age of six live in households with incomes less than the official poverty level. a study of learning in early childhood chooses an srs of 300 children. find the probability that more than 20% of the sample are from poverty households. be sure to check that you can use the normal approximation.
The probability that more than 20% of the sample are from poverty households is approximately 0.8365.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
We can use the normal approximation to the binomial distribution to solve this problem, given that the sample size is relatively large (n=300) and the probability of success (p=0.22) is not too close to 0 or 1.
Let X be the number of children in the sample who live in poverty households. Then X follows a binomial distribution with parameters n=300 and p=0.22.
The mean of X is given by μ = np = 300 x 0.22 = 66, and the standard deviation is σ = sqrt(np(1-p)) = sqrt(300 x 0.22 x 0.78) ≈ 6.23.
We want to find the probability that more than 20% of the sample are from poverty households, which is equivalent to finding P(X > 0.2n) = P(X > 60).
To use the normal approximation, we can standardize X as follows:
Z = (X - μ) / σ
Then, we have:
P(X > 60) = P(Z > (60 - 66) / 6.23) ≈ P(Z > -0.96)
Using a standard normal table or calculator, we can find that the probability of Z being greater than -0.96 is approximately 0.8365.
Therefore, the probability that more than 20% of the sample are from poverty households is approximately 0.8365.
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If it took 2 hours to clean 4 houses, how many houses could be cleaned in 3 hours?
Answer:
6 houses
Step-by-step explanation:
20
18
16
14 -
12
10
8
6
4
2
0
0
5
25
30
10 15 20
time (seconds)
O 15 to 20 seconds
O 10 to 15 seconds
O 5 to 10 seconds
O 0 to 5 seconds
which interval contains the median
Answer:
10 to 15 seconds
Step-by-step explanation:
Put the munber's in oreder highest to least, the add the two middle numbers (10+12=22) then divide by 2 (22/2= 11)
The temperatures recorded one day at two cities are shown below:
City L: −2° F
City M: −7° F
Which statement about the temperatures at the two cities is true? (5 points)
City M was colder than City L because −7° F > −2° F.
City M was colder than City L because −7° F < −2° F.
City M was warmer than City L because −7° F < −2° F.
City M was warmer than City L because −7° F > −2° F.
Answer: City M is colder than city L because -7° F>-2° F
Step-by-step explanation:
Answer:
City M was colder than City L because −7° F < −2° F
Step-by-step explanation:
-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7
The farther right you go, the greater the number The farther left you go, the smaller the number
-7 is farther left than -2, so -2 is greater
the spinner show. is spun 3 times. What is the probability that the spinner will stop on 4,3,1 in that order
Answer:
The probability of getting a 4 on the first spin is 1/3, the probability of getting a 3 on the second spin is 1/3, and the probability of getting a 1 on the third spin is 1/3. The probability of all three events occurring in order is the product of these individual probabilities, which gives 1/27 or approximately 0.037 or 3.7%
A bag of marbles contains 3 yellow marbles, 4 blue marbles, akd 8 orange marbles. Which of the following is true of
selecting a green marble? Select all that apply.
Answer:
B. This event will not happen.
C. The probability is 0.
Step-by-step explanation:
Only B and C can be answers because there are no green marbles so how can you select a green marble when there aren't any. The probility is 0 which means never going to happen.
Which of the following are interior angles in the figure below?
O
A. 21, 22, and 26
B. 25 and 26
C. 23 only
D. 21, 22, and 23
Answer:
(A), 21, 22,and 26
Step-by-step explanation:
gakzbzkxvuxnsslvzixvdkdbdjxvshhzvskdvxy dgsjzvsks ysjdbdudvsk jdkdbdb
5a) Determine the measure of each unknown angle
Answer:
Step-by-step explanation:
25, i think
At a workplace 153 of the 225 employees attended a meeting which statement shows values that are all equivalent to the fraction of employees who attended the meeting
ANSWER
A 153/225 = 17/25 =0.68=68%
B 225/153 = 25/17 =1.47=147%
C 153/225 = 51/75 =0.51=51%
D 225/153 = 75/51 =0.75=75%
jenny reads a book with 92 pages. jenny's book has 13 more pages than the book macy reads. which equation could you solve to find how many pages, m, macy's book has?
On a certain hot summer's day, 481 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $932.50. How many children and how many adults swam at the public pool that day?
By using simultaneous linear equation, it can be calculated that-
Number of children are 118 and number of adults are 363
What is simultaneous linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.
Here, a simultaneous linear equation needs to be solved
Let the number of children be x and number of adults be y
481 people used the public swimming pool.
x + y = 481 ..... (1)
The daily prices are $1.75 for children and $2.00 for adults.
Total price = $(1.75x + 2y)
By the problem,
1.75x + 2y = 932.50
7x + 8y = 3730 .... (2)
Multiplying (1) by 7
7x + 7y = 3367.... (3)
Subtracting (3) from (2)
y = 363
Putting the value of y in (1)
x + 363 = 481
x = 481 - 363
x = 118
Number of children are 118 and number of adults are 363
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Which expression is equivalent to (3a + 7) (2a - 5)A. 5a^2 - a - 35B. 5a^2 -29a - 35C. 6a^2 - a - 35D. 6a^2 -29a - 35
We want to know an expression equivalent to:
\((3a+7)(2a-5)\)which is a multiplication. For doing it, we will use the distributive property, where we multiply the first term of the first expression by each one of the terms on the second expression, and then we multiply the second term of the first expression by each one of the terms on the second expression.
We obtain:
\(=3a(2a)+3a(-5)+7(2a)+7(-5)\)Now, we multiply the terms as usual: first the coefficients and then the variables:
\(\begin{gathered} =6a^2-15a+14a-35 \\ \text{And adding the similar terms we get:} \\ =6a^2-1a-35 \\ =6a^2-a-35 \end{gathered}\)Thus, the expression equivalent is 6a² - a - 35.
when joselyn went to the store she bought 2.7 kg of chocolate candy. what would joselyn do to find out how many grams she bought?
Using the conversion factor, Joselyn bought 2700 grams of chocolate candy
A conversion factor is a numerical ratio used to convert a measurement from one unit to another. It is a mathematical expression that is used to convert a quantity expressed in one unit of measure into an equivalent quantity expressed in another unit of measure.
To convert 2.7 kg to grams, Joselyn would use a conversion factor between kilograms and grams. The conversion factor is 1000 grams per 1 kilogram, which means there are 1000 grams in one kilogram.
So, to convert 2.7 kg to grams, Joselyn would multiply 2.7 kg by the conversion factor
2.7 kg x 1000 g/kg = 2700 g
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What are the 7 types of hazards in the home?
The 7 types of hazards in the home are Psychosocial Risks,Physical
Dangers , Chemical Dangers, Biological risks, Constrained Areas,
Changing Equipment and Biohazards
Psychosocial Risks
Physical dangers include a subgroup called psychosocial hazards. For some workers, these risks might be more severe or restrictive than for others. Poor management or a lack of feedback may be the cause of these risks.
Physical Dangers
Environmental and occupational hazards are two different categories of physical risks. These include unguarded machines, heat, cold, vibration, noise, and temperature extremes. Engineering controls can lessen some physical dangers.
Chemical Dangers
Toxic, flammable, explosive, self-reactive, oxidizing, or corrosive compounds are considered chemical dangers. Chemical risks can have negative health impacts and need special handling techniques and equipment.
Biological risks
Many workplaces have biological risks, which can be harmful to people. They include waste debris, food, fungi, food, hair, skin, and saliva.
Constrained Areas
Flammable gases can accumulate in small places. These gases tend to gravitate toward lower elevations, yet they can rise to the surface if a lid is closed or if they are hanging in the air.
Changing Equipment
For workers, the moving machinery hazard provides a distinct set of mechanical risks. Injuries caused by it include crushing, shearing, tangling, air being ejected, striking, abrading, and trapping.
Biohazards
There are many danger thresholds for biohazards. Agents of biohazard level I pose little risk to people. On the other hand, biohazard class II agents may be extremely contagious and may result in serious sickness if consumed or dispersed through the air.
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What is the lyrics for its good to be alive by among us?
Answer:
HEHEHEHEHEH
I've been waiting for this moment
Feels good to be alive right about now
Good, good, good, good to be alive right about now
Good, good, good, good to be alive right about now
Hallelujah, let that bass line move ya, say hey
Step-by-step explanation:
Have fun
Three different bags of pretzels are sold at the store. Which bag of pretzels is the best buy?
Bag A:10 ounces for $1.10
Bag B:12 ounces for $1.38
Bag C: 6 ounces for $0.84
A. Bag A
B. Bag B
C. Bag C
D. Bag A and Bag B are equally good values
Answer:
A: 11 cents per ounce
B: 11.5 cents per ounce
C: 14 cents per ounce
Bag A would be the best buy
Need help ASAP will give brainiest
How can you find an output number when you know an input number?
Answer:
You have to add 1.5 to each input number to find its corresponding output number.
A second order dynamic plant is described with a state space model below.
A = [ 0 1 ] B = [0 ] C= [1 0] D=0
[ -1 -2] [-1]
There is need to design an observer for real operation. The analysis and design tasks are listed below. a) Discuss in what situation it needs for introducing the observer and what the role of each matrix of (L, M, and N) is in the observer. (the words limit is 80) b) From det[s1 - L], discuss why specify the observer poles with s, = -4 s, =-5 against the plant dynamics. (the words limit is 40) c) Design the state observer with the specified poles s =-4 =-5. d) Show the designed observer block diagram with matrices (L, M, and N)
a) Situations when an observer needs to be introduced and the role of each matrix: In order to observe the state of a system in practice, an observer must be introduced. The observer's role is to assess the system's state variables based on the system's input and output values, as well as the system's dynamics. The observer consists of three matrices:L: State feedback gain matrix M: Determines the observer's internal dynamics N: Maps the output signal to the observer's inputThe purpose of the observer is to estimate the system's states so that they can be fed back into the control loop.
b) Det[s1 - L] discussion: When designing an observer, the choice of observer poles has a significant impact on the system's efficiency. If the observer poles are placed far too close to the system poles, the observer may become unstable and diverge from the true state values. Alternatively, if the observer poles are placed far too far from the system poles, the observer may not be sensitive enough to changes in the system's states.In this context, det[s1 - L] refers to the determinant of the system's matrix minus the state feedback gain matrix. To ensure that the observer's poles are not too close or too far from the system's poles, this determinant must be non-zero.
c) Designing state observer: The observer's gain matrix L can be determined using the Ackerman formula.
By using Ackerman formula, the observer gain matrix is:L = acker(A', C', [s1, s2])L = [21 12]s1 = -4; s2 = -5 The observer's matrix M is given by:M = A - LC = [0 1;-1 -2] - [21; 12][1 0]M = [-21 -12;-21 -8]
The observer's matrix N is given by:N = B - LD = [0] - [21; 12][0]N = [0]d) Observer block diagram with matrices:Based on the information given above, the observer's block diagram with matrices L, M, and N can be presented in the following diagram:state observer block diagram
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consider a wave form s(t)=5 sin 4 π t 12 sin 20 π t. the signal s(t) is sampled at 24 hz. we expect to see ailiasing to happen in this sampling process. true or false
False.
When is aliasing expected to happen?Hi! You asked whether aliasing is expected to happen when the waveform s(t) = 5 sin(4πt) + 12 sin(20πt) is sampled at 24 Hz. To answer this, let's follow these steps:
1. Identify the frequencies of the individual sinusoidal components in the signal s(t). The frequencies are given by (ω/2π) where ω is the coefficient of t in the sine function.
- For 5 sin(4πt), the frequency is (4π/2π) = 2 Hz
- For 12 sin(20πt), the frequency is (20π/2π) = 10 Hz
2. Calculate the Nyquist frequency, which is half of the sampling rate. In this case, the sampling rate is 24 Hz, so the Nyquist frequency is 12 Hz.
3. Compare the frequencies of the signal components to the Nyquist frequency. If any component has a frequency higher than the Nyquist frequency, aliasing is expected to occur.
In this case, both 2 Hz and 10 Hz are below the Nyquist frequency of 12 Hz. Therefore, we do not expect aliasing to happen in this sampling process. So, the answer is false.
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h e l p please. can't solve
Answer:
\( \frac{1}{2} 3 \\ \)
Step-by-step explanation:
Your welcome
Superstar Toy Shop is having its annual holiday sale, when every toy in the store gets marked down. During the sale, Pamela purchases 4 Mighty Mare toy ponies to add to her collection, each at $3 less than its full price. Pamela pays a total of $52.
Which equation can you use to find the amount of money, x, each Mighty Mare toy pony costs at full price?
Let x be the full price of each Mighty Mare toy pony.
During the holiday sale, Pamela purchased each toy at $3 less than its full price. Therefore, the price she paid during the sale was:
x - $3
Since she bought 4 of these toys, her total cost during the sale was:
4(x - $3)
We also know that Pamela paid a total of $52 during the sale. Therefore, we can set up an equation:
4(x - $3) = $52
Simplifying this equation, we get:
4x - $12 = $52
Adding $12 to both sides, we get:
4x = $64
Dividing both sides by 4, we get:
x = $16
Therefore, each Mighty Mare toy pony costs $16 at full price.
Let's assume that the full price of each Mighty Mare toy pony is x dollars. Since Pamela purchased 4 Mighty Mare toy ponies, each at $3 less than its full price, the cost of each toy pony during the sale would be (x - 3) dollars.
To find the equation that represents this situation, we can set up the equation based on the given information:
4 * (x - 3) = 52
In this equation, 4 represents the number of Mighty Mare toy ponies purchased, (x - 3) represents the cost of each toy pony during the sale, and 52 represents the total amount paid by Pamela.
By solving this equation, we can determine the value of x, which represents the full price of each Mighty Mare toy pony.
an organization will give a prize to a local artist. the artist will be randomly chosen from among 7 painters, 4 sculptors, and photographers. what is the probability that the artist chosen will be a painter or a 5 photographer? write your answer as a fraction.
The probability that the artist chosen will be a painter or a photographer is 3/4
What is probability?Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.
To solve this exercise the formula and the procedure that we have to use for probability is:
probability= (achieving success / possible outcomes)
Achieving success = 7 painters + 5 photographer = 12
Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16
Applying the formula to calculate the probability we get:
probability= (achieving success / possible outcomes)
probability= 12/16
Simplifying:
probability= 3/4
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Directions: Convert each 12-hour time to 24-hour time.
3:45 a.m. ______________
9:16 a.m. ______________
5:45 a.m. ______________
12:00 midnight ______________
12:00 noon ______________
Answer:
a. 3:45 a.m. = 3:345
b. 9:16 a.m. = 9:16
c. 12 ( midnight ) = 00:00
d. 12 ( noon ) = 12:00
The sum of 9 times a number and 7 is 6
Given statement solution is :- The value of the number is -1/9.
Let's solve the problem step by step.
Let's assume the number we're looking for is represented by the variable "x".
The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:
9x + 7 = 6
To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:
9x + 7 - 7 = 6 - 7
This simplifies to:
9x = -1
Finally, to solve for "x," we divide both sides of the equation by 9:
9x/9 = -1/9
This simplifies to:
x = -1/9
So, the value of the number is -1/9.
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(-90 – 27i) - (66 + 34i)
Express your answer in the form (a + bi).
Answer:
Step-by-step explanation:
Remove the brackets
-90 - 27i - 66 - 34i
Combine like terms
- 90- 66 - 27i - 34i
-156 - 61i
i don't get it like i don't even know what i'm looking at
Answer:
Answer(s): 15m
20(m-0.25m)
Step-by-step explanation:
The following dot plot represents a random sample of elementary students and the number of children that live in their home. If this random sample is representative of elementary students in the United States, which of the following inferences can be made from the data? Select all that apply. The majority of the households in the United States, with at least one child, contain less than three children. Very few households in the United States contain four or more children. All households in the United States contain at least one child. None of the households in the United States contain five children.
Answer:
All households in the United States contain at least one child.
and None of the households in the United States contain five children.
Step-by-step explanation:this is what i awnsered sorry if its wrong
Answer:
The majority of the households in the United States, with at least one child, contain less than three children.
Very few households in the United States contain four or more children.
And, None of the households in the United States contain five children.
Step-by-step explanation:
Hey so sorry this is late and if it's wrong I tried though-