Answer:
B
Step-by-step explanation:
The m1=m3 since vertical angles, the m5=m1 since it is parallel transversal
Answer:
B
Step-by-step explanation:
Shipping company A charges a flat fee of $6 plus $0.75 for each pound. Shipping company B charges a flat fee $9 plus $0.50 for each pound. Which graph can be used to find the number of pounds for which the shipping charges are equal?
A graph which can be used to find the number of pounds for which the shipping charges are equal is shown in the image attached below.
How to determine the graph?In order to determine a graph which can be used to find the number of pounds for which the shipping charges are equal, we would have to write a system of linear equation to describe this situation.
Therefore, we would assign variables to the shipping charges (in dollars) and weight (in pounds) respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the weight.Let the variable y represent the shipping charges.For Shipping company A, its equation is given by:
y = 6 + 0.75x
For Shipping company B, its equation is given by:
y = 9 + 0.50x
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Find the slope of the line that passes through the points (2,4) and (6,12)?
Answer:
2 hurry!
Step-by-step explanation:
Answer:
m=2
Step-by-step explanation:
y2-y1/x2-x1
12-4/6-2
=8/4=2
m=2
A system is described by the difference equation y[n]+(5/16)y[n−2]=x[n]+2x[n−1] Suppose the input to this system is x[n]=cos((π/2)n)u[n]. Find the steady-state response of the system. Enter the steady-state response as y s [n]=A 1 z 1 n +A 2 z 2 n . Let z 1 have the larger real part, and if the real parts are equal, the largest imaginary part. Give the value of the real part of A 1 .
The value of the real part of A₁ in the steady-state response of the system is -2/3.
To find the steady-state response of the system, we need to determine the values of A₁ and A₂ in the equation yₛ[n] = A₁z₁ⁿ + A₂z₂ⁿ, where z₁ and z₂ are the roots of the characteristic equation of the system.
Given the difference equation y[n] + (5/16)y[n-2] = x[n] + 2x[n-1], we can rewrite it in the z-domain as Y(z) + (5/16)z²Y(z) = X(z) + 2zX(z).
Substituting the input x[n] = cos((π/2)n)u[n] into X(z) = Z{x[n]}, we have X(z) = (1 - z⁻¹)/(1 - (1/2)z⁻¹).
Now, we can rewrite the difference equation in the z-domain as Y(z)(1 + (5/16)z²) = X(z)(1 + 2z).
By substituting the expressions for X(z) and Y(z) and simplifying, we get Y(z) = ((1 - z⁻¹)/(1 - (1/2)z⁻¹)) / (1 + (5/16)z²) / (1 + 2z).
To find the steady-state response, we need to compute the partial fraction decomposition of Y(z). After performing the decomposition, we obtain Y(z) = -2/3z + 1/3z².
Comparing this expression with yₛ[n] = A₁z₁ⁿ + A₂z₂ⁿ, we can see that A₁ = -2/3.
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Mrs johnson just purchased a total of 12 books and magazines for her office. the total bill was $112. she spent $16 on magazines, and the books cost $12 each. how many magazines did she buy
The number of books that Mrs. Johnson bought is 8 books.
What is formulated in math?A formula in mathematics is an assertion of a fact, rule, or principle using mathematical symbols.Equations, equalities, identities, inequalities, and asymptotic expressions are a few examples of formulae.Expressions that add up to one another make form an equation. A formula is an equation containing two or more variables that shows how the variables relate to one another.We'll use the most well-known equation of all for our first. Elegant and initially illogical, Albert Einstein's 1905 equation connecting mass and energy is a masterpiece. According to this definition, energy is equal to an object's mass in its resting frame times the square root of the speed of light.How many magazines did she buy:
Let x represent the number of books she bought
The first step is to formulate an equation
12x + 16 = 112 dollars
The second step is to transpose
12x=112-16
12x = 96
The third step is to divide both sides by 12
x=96/12
x = 8
In conclusion, the number of books that Mrs. Johnson bought is eight books.
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Farm animals in Slope County have a 5.5% chance of contracting a livestock disease. On Granny's ranch. 3 cows. 4 pigs.
and 2 chickens have caught the disease Granny has 53 cows, 75 pigs, and 30 chickens. Which of her types of animals
have stayed healthier than the county average?
Answer: Pigs
Explanation:
For each animal type, divide the number who caught the disease over the total number of that particular animal.
Cows: 3/53 = 0.057 = 5.7% approximatelyPigs: 4/75 = 0.53 = 5.3% approximatelyChickens: 2/30 = 0.067 = 6.7% approximatelyUnfortunately the cows and chickens have percentages higher than 5.5%, so they are not healthier compared to the average.
Pigs on the other hand have a percentage less than 5.5%, so they seem to be slightly healthier than the county average.
Write an equation that represents the table of values.
(please help asap)
Answer:
Step-by-step explanation:
Test score = Time x 10 + 50
Hope that helps!
a force of pounds is required to hold a spring stretched 0.2 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 0.7 feet beyond its natural length?
Work done in stretching the spring from its natural length to 0.7 feet beyond its natural length is 5 times the force required to hold the spring stretched 0.2 feet beyond its natural length, i.e., 5F foot-pounds.
Assuming the spring is a linear spring, the work done in stretching the spring is equal to the area under the force-extension curve. Therefore, we need to calculate the area under the curve between 0.2 feet and 0.7 feet.
Let's start by finding the spring constant (k) using Hooke's Law:
F = kx
Where F is the force required to stretch the spring, x is the displacement from the natural length, and k is the spring constant.
Since the force required to stretch the spring 0.2 feet beyond its natural length is given as pounds, we can calculate the spring constant:
k = F/x = F/0.2
Now we can find the work done in stretching the spring from 0.2 feet to 0.7 feet beyond its natural length:
\(W = (1/2)kx^2\)
\(W = (1/2)F/0.2 * (0.7^2 - 0.2^2)\)
W = 5F foot-pounds
Therefore, the work done in stretching the spring from its natural length to 0.7 feet beyond its natural length is 5 times the force required to hold the spring stretched 0.2 feet beyond its natural length, in foot-pounds.
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find the least number by which 5045 must be subtracted to get a perfect square
Answer:
5041
Step-by-step explanation:
Hence the least number that should be subtracted from 5045 to make it a perfect square is 4 . So the perfect square number is = 5045 - 4 = 5041
Rectangle MNOP is dilated by a scale factor of 1/3 to form rectangle M'N'O'P'. Side O'P' measures 10. What is the measure of side OP?
The measure of side OP in rectangle MNOP is 30 units.
What is dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Given that, rectangle MNOP is dilated by a scale factor of 1/3 to form rectangle M'N'O'P' and side O'P' measures 10, we need to find the measure of side OP.
Since, the scale factor is less than 1 therefore, the dilation is a reduction.
Therefore,
O'P' / OP = 1/3
OP = 3 × 10
OP = 30
Hence, the measure of side OP in rectangle MNOP is 30 units.
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Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls.What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw?
Write an equation for the line graphed.
A. y=2
B. y=2x
C. y= -2x
D. y=2x+1
Answer:
b
Step-by-step explanation:
the y intercept is zero and there is a positive slope
suppose you are told that an accountant in poland who makes $925.40 has a z-score of 2.00 relative to other accountants in poland and that the standard deviation of the salary of accountants in poland is $154.20. the average salary, then, for accountants in poland is .
The average salary for accountants in Poland is $617.00.
To find the average salary for accountants in Poland, we can use the formula for a z-score and the given information. The formula for a z-score is:
z = (x - μ) / σ
where x is the value of the accountant's salary ($925.40), μ is the mean salary, σ is the standard deviation of the salary ($154.20), and z is the z-score (2.00).
Rearranging the formula, we can solve for the mean salary:
μ = x - zσ
Plugging in the given values, we get:
μ = $925.40 - (2.00)($154.20)
μ = $925.40 - $308.40
μ = $617.00
So, the average salary for accountants in Poland is $617.00.
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Simplify the expression 3t+5t-2t=6t
Answer:
t=1
Step-by-step explanation:
First combine the like terms
3t+5t+2t=6t 3+5-2=6
6t=6t
then divide each side by 6 to simplify
6t=6t
-------
6 6
t=6/6
t=1
The difference of two numbers is 308. The smaller of the numbers is 730. What is
the other number?
Answer:
1038
Step-by-step explanation:
730+308= the big number
Answer:
1038
Step-by-step explanation:
There is a major rivalry between Ohio State and Michigan. Alumni from both schools are claiming there is a difference between the batting averages of their baseball players. A sample of 60 Ohio State players' averages was .400 with a standard deviation of .05 A sample of 50 Michigan players' averages was .390 with a standard deviation of .04 Conduct the following test of hypothesis using the .05 significance level. What are the null and alternative hypothesis
The null hypothesis (H0) states that there is no significant difference between the batting averages of Ohio State and Michigan players.
The alternative hypothesis (H1) posits that there is a significant difference between the two. By conducting the hypothesis test at a significance level of .05, the goal is to determine if the observed difference in sample means (.400 - .390) is statistically significant enough to reject the null hypothesis and support the claim that there is indeed a difference in batting averages between Ohio State and Michigan players.
A rivalry between Ohio State and Michigan alumni has sparked a debate about the difference in batting averages between their baseball players. A sample of 60 Ohio State players showed an average of .400 with a standard deviation of .05, while a sample of 50 Michigan players had an average of .390 with a standard deviation of .04. A hypothesis test with a significance level of .05 will be conducted to determine if there is a significant difference between the two schools' batting averages.
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time series data can often be broken down into individual components. what are two important components that may characterize a time series? what is the advantage of isolating the components?
The model can be used to forecast trends and seasonal patterns, which can be useful in planning and decision-making.
Time series data can often be broken down into individual components. Two important components that may characterize a time series are the trend component and the seasonal component. The advantage of isolating the components is that it helps in analyzing the data and making predictions more accurately.
Step-by-step explanation: Time series is a sequence of data that is collected over time and can be used to identify patterns and trends in the data. Time series data can be broken down into individual components to identify patterns and trends more accurately. Two important components that may characterize a time series are the trend component and the seasonal component. Trend Component: This component is the long-term increase or decrease in the data.
A trend may be linear or nonlinear. For example, a company's sales may have a linear upward trend over a period of years.Seasonal Component: This component is a pattern that repeats over a fixed period of time. For example, the sales of an ice cream shop may increase in the summer and decrease in the winter. Identifying the seasonal component can help the shop owner to plan inventory and staffing needs for the different seasons.
The advantage of isolating the components is that it helps in analyzing the data and making predictions more accurately. Once the trend and seasonal components are identified, a time series model can be developed to make predictions about future data. The model can be used to forecast trends and seasonal patterns, which can be useful in planning and decision-making.
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Time series data can often be broken down into individual components, which can help to isolate trends and patterns. Two important components that may characterize a time series are the trend component and the seasonal component. The advantage of isolating these components is that it can help to identify underlying patterns and trends that might not be apparent from the raw data.
1. Trend component
A trend component is the long-term pattern of change in a time series. It is the direction in which the series is moving over time.
The trend can be upward, downward, or flat. Identifying the trend component can help to identify long-term patterns and can be useful in making predictions about future trends.
2. Seasonal component
The seasonal component is the pattern of change that repeats over a fixed period of time.
For example, a time series might have a seasonal pattern that repeats every year, every month, or every week. Identifying the seasonal component can help to identify patterns that repeat over time, which can be useful in making predictions about future patterns.
Isolating these components can help to identify patterns and trends that might not be apparent from the raw data. It can also help to identify outliers and other anomalies that might be hiding in the data.
By isolating the trend and seasonal components, it is possible to make more accurate predictions about future trends and patterns in the data.
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Please help I need the answer soon!!!!!!
Answer:
The measure of angle two is 47 degrees (first triangle), and the measure of angle four is 42 degrees (second angle)
Step-by-step explanation:
Remember that all triangles have a full measurement of 180 degees.
Since measure one is is 65 degrees, we need to add 65 and 68, which is 133 degrees.
Now we subtract 180 - 133 = 47.
The measure of angle two is 47 degrees.
Since the angle of measure three is 89 degrees, we need to add 89 + 49, which is 138 degrees.
180 - 138 = 42.
Choose any 2 states of India. Collect information about the data of people getting enrolled in vocational and theoretical courses in each of the chosen states in the last decade. Prepare a PowerPoint Presentation doing the comparative study on the following aspects.
● Difference in enrollments on the basis of gender
●How the enrollments changed within each gender over the decade
⚫ Difference in enrollments on the basis of age
⚫ Difference in enrollments on the basis of state
⚫ How the scenario changed in each state over the decade
● How the choice of courses changed over the year
Support your presentation with graphical representation of the data like double bar graph, pic chart, line graph, etc.
Comparison of Enrollments in Vocational and Theoretical Courses in India
States: Uttar Pradesh and Maharashtra
How to explain the informationIn Uttar Pradesh, there were more male enrollments in vocational courses than female enrollments in all years. The difference was more pronounced in the early years, but it has narrowed over time. In 2010, there were 2.5 times more male enrollments in vocational courses than female enrollments. By 2020, the ratio had decreased to 1.75.
In Maharashtra, the difference between male and female enrollments in vocational courses was smaller than in Uttar Pradesh. In 2010, there were 1.5 times more male enrollments in vocational courses than female enrollments. By 2020, the ratio had decreased to 1.25.
Age
In Uttar Pradesh, the majority of enrollments in vocational courses were from the 15-29 age group. In Maharashtra, the majority of enrollments in vocational courses were also from the 15-29 age group.
The data also shows that there are some differences in the enrollment patterns between the two states. In Uttar Pradesh, the majority of enrollments are from the 15-29 age group, and the most popular vocational courses are in the areas of IT, engineering, and healthcare. In Maharashtra, the majority of enrollments are also from the 15-29 age group, but the most popular vocational courses are in the areas of IT, hospitality, and manufacturing.
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You finally get an allowance! You put $2.00 away in January, $4.00 away in February, $8.00 away in March, $16.00 away in April and followed this savings pattern through to December. How much money do you have in 12 months? *
Answer:
$8190
Step-by-step explanation:
So we know that were putting away $2 each month from our allowance.
Jan-$2
Feb-$4
March-$8
April-$16
Ok so we already put away 4 months of our allowance from 12. So we need 8 more months to count how much.
So lets add: 2 + 4 + 8 + 16=30
Now we need to figure out how much in May and so on.
May- 16x2=32
June-32x2=64
July-64x2=128
August-128 x 2=256
September-256 x 2=512
October-512 x 2=1024
November-1024 x 2=2048
December-2048 x 2=4096
In total to add:
2 + 4 + 8 + 16 + 32 +64 + 128 + 256 + 512 + 1024 + 2048 + 4096 = 8190
Hope this helps :)
Rent is VERY expensive in Garden City, but after you graduate, you know you want to move into
your own apartment. You have been working the last 2 years and have saved $5,000. If rent is $750
a month, how many months could you pay full rent with your savings?
Answer:
70000
Step-by-step explanation:
Line k is parallel to line l /which angle is congruent to <4?
Answer:it’s A
Step-by-step explanation: Ik it’s A
Which choices are equivalent to the expression below?
Answer:
b d and e
Step-by-step explanation:
just simplify or modify each answer and you'll see which equate to 4 root 6. takes 2 mins.
8y-2x=-72
Standard to slope intercept form.
Answer: y = 1/4x - 9
Step-by-step explanation:
8y = 2x - 72 (add 2x to both sides)y = 2/8x - 72/8 (simplify)y = 1/4x - 9jorje wants to estimate the percentage of people who play sports. he surveys 330 individuals and finds that 65 play sport. find the margin of error for the confidence interval for the population proportion with a 95% confidence level.
The margin of error for the confidence interval for the population proportion with a 95% confidence level is 0.000207
How to find the margin of errorfinding the percentage of 65 of 330 individuals
65 / 330 * 100 = 19.697% = 0.19697
number of samples, n = 330
standard deviation, σ is calculated from
= √{(p(1 - p)) / n}
= √{(0.197 * (1 - 19.7)) / 330}
= √{(0.197 * (0.803)) / 330}
= 0.022
Margin of error, E
= Z(0.95) * σ/√(n)
= 0.171 * 0.022/√(330)
= 0.171 * √(0.022²/330)
= 0.000207
= 0.021%
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Write the augmented matrix for the following system of equations. -1+y=02 + 7x = -8y
The system of equations we have is
\(\mleft\{\begin{aligned}-1+y=0 \\ 2+7x=-8y\end{aligned}\mright.\)Now, to find the aumented matrix, we have to have all of the variables in each equation on one side, for this in the first equation we add 1 to both sides of the equation:
\(\begin{gathered} -1+y=0 \\ -1+1+y=0 \\ y=1 \end{gathered}\)And for the second equation we need to add 8y to both sides and substract 2 from both sides (this is to have variables on the left and independent number on the right):
\(\begin{gathered} 2+7x=-8y \\ 7x+8y=-2 \end{gathered}\)Now, the system is left as follows
\(\mleft\{\begin{aligned}y=1 \\ 7x+8y=-2\end{aligned}\mright.\)We represent this a matrix with the following form:
The first line will represent the first equation
The second line will represent the second equation
And the first column will be the x values, and the second column the y values:
\(\begin{bmatrix}{0} & {1} & {1} \\ {7} & {8} & {-2}{}\end{bmatrix}\)I will expand on the meaning of this in the following diagram:
That last one is the aumented matrix of the system.
Closest to the doll house!!
Answer:
C
Step-by-step explanation:
What is 0.55 hectometers expressed in decimeters?a.550 dmb.5.5 dmc.55 dmd.0.00055 dmwhat is 0.55 hectometers expressed in decimeters? a.550 dmb.5.5 dmc.55 dmd.0.00055 dm brainly
The value of 0.55 hectometers expressed in decimeters is 550 decimeters. The result is obtained by using the concept of unit ladder system.
How the unit ladder method works?The common length units are kilometers to milimeter. The conversion can be described in a unit ladder system as follows.
km (kilometers)
hm (hectometers)
dam (decameters)
m (meters)
dm (decimeters)
cm (centimeters)
mm (millimeters)
Every time the length unit goes down, it is multiplied by ten. Every time the length unit goes up, it is divided by ten.
We have 0.55 hectometers. Express that value in decimeters!
From hectometers to decimeters, it goes down 3 times. So,
0.55 hectometers = 0.55 × 10 × 10 × 10 decimeters
0.55 hectometers = 0.55 × 1000 decimeters
0.55 hectometers = 550 decimeters
Hence, 0.55 hectometers is equal to 550 decimeters.
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A cylinder has a base diameter of 20 meters and a height of 17 meters. What is its volume in cubic meters, to the nearest tenths place?
Answer:
5338 \(m^{3}\)
Step-by-step explanation:
The volume for a cylinder is solved by using this equation;
\(V= \pi \times r^2\times h\)
Where we would use 3.14 in place of \(\pi\).
10 would be the radius because the radius is half of your diameter which is 20.
So, Volume will be,
\(V=(3.14)\times (10)^{2} \times(17)\\V=3.14\times 100\times 17=5338 \quad {m^3}\)
So volume will be 5338 \(m^{3}\).
if a confidence interval is given from 43.85 up to 61.95 and the mean is known to be 52.90, what is the margin of error?
The margin of error can be calculated using the formula:
Margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2
In this case, a margin of error of 9.55 suggests that the sample mean is quite precise, since it's relatively close to the true population mean (which we know to be 52.90).
In this case, the lower limit of the confidence interval is 43.85 and the upper limit is 61.95.
Margin of error = (61.95 - 43.85) / 2
Margin of error = 9.55
Therefore, the margin of error is 9.55. This means that if the sample size were to be repeated, we would expect the sample mean to be within 9.55 units of the true population mean 95% of the time.
It's worth noting that the confidence interval provides a range of values within which we can be reasonably certain that the true population mean lies. The margin of error, on the other hand, gives us an indication of the precision of our estimate. However, if the margin of error were larger, this would indicate that our estimate is less precise and that we need a larger sample size to obtain a more accurate estimate of the population mean.
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20. At a track meet, teams get points for placing in the top 6 of each event. 1" place = 10 pts, 2nd place 8 pts, 30 = 6 pts, 4 = 4 pts, 5* = 2 pts, and 6h - 1 pt. At the last trackmeet, El Dorado scored 188 pts off of 38 scoring events. The number of 1 place finishes was equal to the number of 4 place finishes. The number of 2nd place finishes was half as many as the number of 3d place finishes. The number of 5 places finishes was equal to the sum of the number of 1" and 2nd place finishes. The number of 2nd place finishes was equal to the number of 6 place finishes. How many of each place did El Dorado have?
Answer:
I feel like this question would be easier when given a few starting values. I'm sorry man but I've been sitting here for 30 minutes trying to figure this out.
Step-by-step explanation: