Answers
The part in the A section should be 28,32,36 since it is all of the numbers that belong to A that don't belong to B
The part in the B section should be 12 and 18 since it is all of the numbers that belong to B that don't belong to A
The part that belongs to the section in the middle is 24 since it is all of the values that belong to both A and B
The outside area is 12,18,24,28,32,36 because it is all of the values that are even numbers between 11 and 39 that don't belong to A or B
Hope this helps :)
Related Questions
t
table
Use the chart to answer the questions.
What is the total economic cost of building a small pyramid?
What is the total economic cost of building a large pyramid?
Which pyramid has a lower total economic cost?
Answers
Answer:
Use the chart to answer the questions.
What is the total economic cost of building a small pyramid?
$23,000
What is the total economic cost of building a large pyramid?
$57,500
Which pyramid has a lower total economic cost?
the small pyramid
Step-by-step explanation: i got it correct trust me
Answer:There are the answers to your question
JH, JP, and PH are midsegments of KLM. Find the value of x.
Answers
The value of x can be found by considering the midsegments JH, JP, and PH of triangle KLM.
Midsegments are line segments that connect the midpoints of two sides of a triangle. They are parallel to the third side and are always half the length of that side. In this case, JH, JP, and PH are midsegments of triangle KLM.
To find the value of x, we need more information about the specific lengths or relationships between the midsegments or sides of the triangle. Without additional information, it is not possible to determine the value of x.
In geometry problems, it is common for additional information such as side lengths, angles, or geometric properties to be provided to solve for unknown variables. If you have any further details or constraints related to the midsegments or triangle KLM, please provide them so that a specific solution can be derived.
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View Policies Show Attempt History Current Attempt in Progress Your answer is partially correct. Suppose the following data are derived from the 2022 financial statements of Southwest Airlines. (All dollars are in millions.) Southwest has a December 31 year-end. (a) After analyzing the data. prepare a statement of cash flows for Southwest Airlines for the year ended December 31, 2022 (Show amounts that decreose cash flow either with a negothe sign precedirg the number es:-15,000 or in parrentheses es. (15.0001. Enter amounts in millions es. 45,0000000 would be entered as 45 I Cash flows from financing activities Cash received from ksuance of common stock ⋄ 150 Cashreceived from issuance of long-term debt ∨ 550 Cash paid for repurchase of common stock ∇ 1020 Cash paid for repayment of debt ∨ \begin{tabular}{l} Cash paid for dividends \\ Cawh foow from investire activities \\ Net increase in cash \\ \hline \end{tabular} eTextbook and Media Cash flows from operating activities Cash received from customers $ 9600 Cash paid for goods and services \begin{tabular}{rr|} \hline 6850 \\ \hline \end{tabular} Net cash provided by operating activities ∼ $16450 Cash flows from investing activities Cash paid for property and equipment \begin{tabular}{|l|} \hline 1550 \\ \hline \end{tabular} Net cash provided by financing activities v Cash flows from financing activities \begin{tabular}{|l|} \hline 18000 \\ \hline \end{tabular} Cash received from issuance of common stock ∨ 150 \begin{tabular}{l} Cash received from issuance of long-term debt v \\ \hline Cash paid for repurchase of common stock \end{tabular} 550 \begin{tabular}{|c|} \hline 1020 \\ \hline 110 \\ \hline \end{tabular} Cash paid for dividends 20
Answers
The statement of cash flows for Southwest Airlines for the year ended December 31, 2022, shows the cash inflows and outflows from operating, investing, and financing activities.
To prepare the statement of cash flows for Southwest Airlines for the year ended December 31, 2022, we need to categorize the cash flows into three main activities: operating activities, investing activities, and financing activities. Let's analyze the provided data and prepare the statement of cash flows accordingly:
Statement of Cash Flows for Southwest Airlines for the Year Ended December 31, 2022 (Amounts in millions)
Cash Flows from Operating Activities:
Cash received from customers: $9,600
Cash paid for goods and services: ($6,850)
Net cash provided by operating activities: $16,450
Cash Flows from Investing Activities:
Cash paid for property and equipment: ($1,550)
Net cash used in investing activities: ($1,550)
Cash Flows from Financing Activities:
Cash received from issuance of common stock: $150
Cash received from issuance of long-term debt: $550
Cash paid for repurchase of common stock: ($1,020)
Cash paid for dividends: ($20)
Net cash used in financing activities: ($320)
Net Increase in Cash: $14,580
The statement of cash flows summarizes the cash inflows and outflows from operating, investing, and financing activities.
In the operating activities section, we consider the cash received from customers and subtract the cash paid for goods and services to determine the net cash provided by operating activities.
In the investing activities section, we account for the cash paid for property and equipment, which represents the investment in assets.
In the financing activities section, we include cash flows related to the company's financing sources and uses. This includes cash received from the issuance of common stock and long-term debt, as well as cash paid for the repurchase of common stock and payment of dividends.
The net increase in cash is calculated by summing the net cash provided by operating activities, net cash used in investing activities, and net cash used in financing activities.
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Which answer choice correctly shows 579 written as a Roman Numeral? A. MLXXIV B. DLXXIX C. DLXXVIIII D. DLXXIV
Answers
A convenience store owner believes that the median number of newspapers sold per day is 67. A random sample of 20 days yields the data below. Find the critical value to test the ownerʹs hypothesis. Use α = 0.05.
•
50 66 77 82 49 73 88 45 51 56
65 72 72 62 62 67 67 77 72 56
A) 4 B) 2 C) 3 D) 5
Answers
To find the critical value for testing the owner's hypothesis about the median number of newspapers sold per day, we need to perform a hypothesis test using the sign test.
The sign test is a non-parametric test used to compare medians. In this case, we are testing whether the median number of newspapers sold per day is equal to 67. Since we have a sample size of 20, we need to find the critical value associated with the binomial distribution for n = 20 and a significance level of α = 0.05.
To find the critical value, we use the binomial distribution and the cumulative distribution function (CDF). The critical value is the largest value k for which P(X ≤ k) ≤ α.
Using a statistical table or software, we find that P(X ≤ 3) = 0.047 and P(X ≤ 4) = 0.088. Since P(X ≤ 3) is less than α = 0.05, but P(X ≤ 4) is greater than α = 0.05, the critical value is 3.
Therefore, the correct answer is A) 4, which represents the number of days with a median number of newspapers sold less than or equal to 67.
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ab + c = d solve for b
Answers
Answer:
\(\boxed{\boxed{b=\frac{d-c}{a}; a\neq 0}}\)
Step-by-step explanation:
\(ab+c=d\\\\ab+c-c=d-c\\\\ab=d-c\\\\\frac{ab=d-c}{a}\\\\ \boxed{b=\frac{d-c}{a}; a\neq 0}\)
find the formula for logistic growth using the given information. (use t as your variable. round your parameters to three decimal places.) the r value is 0.013 per year, the carrying capacity is 2392, and the initial population is 127.
Answers
Substituting the given values into the formula, we get logistic growth as
\(P(t) = 2392 / (1 + 18.748 * e^{(-0.013 * t)})\)
What is logistic growth?A pattern of population expansion known as logistic growth sees population growth begin slowly, pick up speed, then slow to a stop as resources run out. It can be shown as an S-shaped curve or a logistic function.
The formula for logistic growth can be expressed as:
\(P(t) = K / (1 + A * e^{(-r * t)})\)
where:
P(t) is the population at time t,
K is the carrying capacity,
A = (K - P₀) / P₀,
P₀ is the initial population,
r is the growth rate per unit of time, and
e is the base of the natural logarithm (approximately 2.71828).
Given the information you provided:
r = 0.013 (per year)
K = 2392
P₀ = 127
First, let's calculate the value of A:
A = (K - P₀) / P₀ = (2392 - 127) / 127 = 18.748
Now, substituting the given values into the formula, we get:
\(P(t) = 2392 / (1 + 18.748 * e^{(-0.013 * t)})\)
Remember to round the parameters to three decimal places when performing calculations.
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Write True if the statement is true or False if the statement is false on the line provided.
6. _____________ marked price is the price printed on an item.
7. _____________ percentage profit and loss is calculated as a percentage of the cost price.
8. _____________ 30% as a decimal is 0.03.
9. _____________ sales tax is also known as VAT.
10. ____________ the hire purchase price is also known as the down payment.
Answers
6. True_____________ marked price is the price printed on an item.
7. True_____________ percentage profit and loss is calculated as a percentage of the cost price.
8. False_____________ 30% as a decimal is 0.03.
9. True_____________ sales tax is also known as VAT.
10. False____________ the hire purchase price is also known as the down payment.
What is 0.782 rounded to nearest hundredth
Answers
Answer:
7 is the tenth place and 8 is in the hundredth place.
so it is rounded to 0.78 since 2 is below 5.
Step-by-step explanation:
Please help me
if v=6, w=-9, and x=7
Answers
Answer:
im sorry but r u even trying..... bc i just answer one of ur questions
Step-by-step explanation:
(-9)^2 = 81
3(6) + (7) = 25
(-9) + (6-1) = -4
Now solve. 81-5= 76
76\ -4 = -19
the total cost for baydan and three of her friends to go ice skating can be represented by the expression 4x 36. the four friends pay an amount x to rent the ice skates and an admission fee. how much is the admission fee for one person?
Answers
The admission fee for one person is 9.
The intercept form of the equation of a line has an equation x/a + y/b = 1, where 'a' is the x-intercept, and 'b' is the y-intercept. The x-intercept is the shortest distance of the point on the x-axis from the origin, where the line cuts the x-axis, and the y-intercept is the shortest distance of the point on the y-axis from the origin, where the line cuts the y-axis. Also considering the points, the line cuts the x-axis at the point(a, 0), and it cuts the y-axis at the point(0, b).
Intercept Form of Equation of a Line: x/a + y/b = 1.
Here x, y, are the variables in the equation, a, b, are the x-intercept, and the y-intercept in the equation. This equation has a slope of -b/a.
Total cost = 4x +36
It means we have a linear function where 4 is the slope ( the cost per person) and 36( the y-intercept).
The admission fee for four people= 36
So, the admission fee for one person = 36/4 = 9
Thus, the admission fee for one person is 9.
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The admission fee for one person is 9.
The intercept form of the equation of a line has an equation x/a + y/b = 1, where 'a' is the x-intercept, and 'b' is the y-intercept. The x-intercept is the shortest distance of the point on the x-axis from the origin, where the line cuts the x-axis, and the y-intercept is the shortest distance of the point on the y-axis from the origin, where the line cuts the y-axis. Also considering the points, the line cuts the x-axis at the point(a, 0), and it cuts the y-axis at the point(0, b).
Intercept Form of Equation of a Line: x/a + y/b = 1.
Here x, y, are the variables in the equation, a, b, are the x-intercept, and the y-intercept in the equation. This equation has a slope of -b/a.
Total cost = 4x +36
It means we have a linear function where 4 is the slope ( the cost per person) and 36( the y-intercept).
The admission fee for four people= 36
So, the admission fee for one person = 36/4 = 9
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Population of fishes in a pond is directly proportional to amount of fishes present in the bond. if initially there are 5000 fishes in the pond. (a) write it in the form of differential equation. (b)find its general solution. (c) What will be the population after 6 months
Answers
Using separation of variables for the differential equation, it is found that:
a) The differential equation is: \(\frac{dP}{dt} = kP\)
b) The solution is: \(P(t) = 5000e^{kt}\)
c) In 6 months, the population is: \(P(6) = 5000e^{6k}\)
What is the differential equation?Population of fishes in a pond is directly proportional to amount of fishes present in the bond, hence the differential equation is:
\(\frac{dP}{dt} = kP\)
In which k is the growth rate.
What is separation of variables?In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.
Hence, for the differential equation in this problem:
\(\frac{dP}{dt} = kP\)
\(\frac{dP}{P} = k dt\)
\(\int \frac{dP}{P} = \int k dt\)
\(\ln{P} = kt + P(0)\)
\(P(t) = P(0)e^{kt}\)
In which P(0) = 5000 is the initial population, hence:
\(P(t) = 5000e^{kt}\)
In 6 months, the population is:
\(P(6) = 5000e^{6k}\)
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New Barinly is going to be KayBae2006
Answers
suppose you have a 3-year lease on a truck that allows 10,000 miles per year, with a 32 cents per mile penalty for overages. in the first year you drive 9,295 miles, in the second year 11,040 miles, and in the third year 12,093 miles. how much of a mileage penalty, if any, do you owe?
Answers
Therefore , the total mileage penalty you owe is $1,002.56
What is equation ?In algebra, an equation is a well-formed formula that connects two expressions with the equals sign to express the equality of the two terms. For example, in French, an équation is described as comprising one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions connected with the equals sign.
Here,
Given:
a truck with a three-year lease and a 10,000-mile annual mileage cap
32 cents per mile penalty for overages
a) first year you drive 9,295 miles
therefore,
Projected Total Miles= Actual Average Miles per day * Length of Lease
9,125 miles = 25 * 365 days
Allowed Total Miles =Annual Miles Allowed / 12 months * Length of Lease
10,000 miles = 10,000 / 12 months * 12 months
Projected Excess Miles = 0
Projected Lease-end Mileage Charge =Projected Excess Miles * Excess Miles Charge
$0.00 = 0 * $0.32
Therefore first year no excess milage penalty
b)second year you drive 11,040 miles
Projected Total Miles Actual Average Miles per day * Length of Lease
10,950 miles = 30 * 365 days
Allowed Total Miles =Annual Miles Allowed / 12 months * Length of Lease
10,000 miles = 10,000 / 12 months * 12 months
Projected Excess Miles =Projected Total Miles - Allowed Total Miles
1040 miles = 11,040 - 10,000
Projected Lease-end Mileage Charge = Projected Excess Miles * Excess Miles Charge
$332.8 = 1040 * $0.32
Therefore second year $332.8 excess milage penalty
C)third year you drive 12,093 miles
Projected Total Miles Actual Average Miles per day * Length of Lease
10,950 miles = 30 * 365 days
Allowed Total Miles =Annual Miles Allowed / 12 months * Length of Lease
10,000 miles = 10,000 / 12 months * 12 months
Projected Excess Miles =Projected Total Miles - Allowed Total Miles
2093 miles =12,093 - 10,000
Projected Lease-end Mileage Charge = Projected Excess Miles * Excess Miles Charge
$669.76= 2093 * $0.32
Therefore second year $669.76 excess milage penalty
Therefore , the total mileage penalty you owe is $669.76 + $332.8=$1,002.56
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someone please help ..........................
Answers
X=23°
Teddy has two piggy banks. The difference in the amount of money between the two banks is no more than $10. One piggy bank has $7.31 in it. Select the choices that make inequality and statement about the possible amount of money in the other piggy bank correct.
Answers
The possible amount of money in the other piggy bank correct is x < 2.69.
Given that,
Teddy has two piggy banks.
And, The difference in the amount of money between the two banks is no more than $10.
Here, One piggy bank has $7.31 in it.
Let us assume that,
The amount of money in the other piggy bank = x
Hence, the inequality is,
7.31 + x < 10
Solve for x,
x < 10 - 7.31
x < 2.69
Therefore, x < 2.69 is the possible amount of money in the other piggy bank.
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The sum of two numbers is 38.when 8 is added to twice one of the numbers, the result is 5 times the other number.find the two numbers
Answers
Answer:
26
Step-by-step explanation:
F+S=38
S=38-F . Use this to substitute for S below.
.
2F+8=5S . Substitute for S from above.
2F+8=5(38-F)
2F+8=190-5F
7F=182
F=26
The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = 1/2 (x – 1). What is the slope-intercept form of the equation for this line?
y = 1/2 x + 2.x + 2
y = 1/2 x - 4.x – 4
y = 1/2 x + 5/2
y = 1/2 x - 7/2
Answers
Answer:
y = 1/2x + 5/2
Step-by-step explanation:
y-3=1/2 (x- 1)
y - 3 = 1/2x -1/2
y = 1/2x - 1/2 + 3
a literature review on length of stay prediction for stroke patients using machine learning and statistical approaches
Answers
The review might also discuss the performance metrics used to evaluate the accuracy and reliability of the predictive models, and any potential challenges or areas for future research in this field.
A literature review on length of stay prediction for stroke patients using machine learning and statistical approaches would involve an analysis of research articles and studies that have explored the use of both machine learning and statistical approaches for predicting the length of stay for stroke patients. The review would likely discuss various machine learning algorithms and statistical models that have been applied in this context, as well as their respective strengths and limitations. Additionally, it would examine the data sources used, such as electronic health records or clinical databases, and the specific features or variables considered in the prediction models.
The review might also discuss the performance metrics used to evaluate the accuracy and reliability of the predictive models, and any potential challenges or areas for future research in this field.
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To make a confidence interval when nis 18, the data must be: - distributed normally - accurate, - theoretically determined.
- not spread too wide.
Answers
By meeting these conditions, you can construct a valid and useful confidence interval when working with a sample size of 18.
To create a confidence interval when the sample size (n) is 18, it is essential for the data to meet certain conditions. Here's a summary of the requirements:
1. Distributed normally: The data should follow a normal distribution, which is characterized by a bell-shaped curve. This condition is necessary to apply the central limit theorem and calculate the confidence interval accurately.
2. Accurate: The data should be collected in a reliable and unbiased manner to ensure that the confidence interval reflects the true population parameter.
3. Theoretically determined: The confidence level (e.g., 95% or 99%) should be predetermined, as it affects the width of the interval and helps you understand the degree of certainty about the population parameter.
4. Not spread too wide: The data should have a reasonable amount of variability, as extremely wide ranges can affect the precision of the confidence interval and make it difficult to draw meaningful conclusions.
By meeting these conditions, you can construct a valid and useful confidence interval when working with a sample size of 18.
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What is the solution of the equation 0.2x = 10?
Select one:
x=2
Ο α = 100
2= 20
x = 50
Answers
Answer:
x = 50
Step-by-step explanation:
0.2x = 10
Divide each side by .2
0.2x/.2 = 10/.2
x =50
Answer:
Step-by-step explanation:
x=50
0.2 x 50 = 10
Solve the math problem
Answers
Solve the following system of equations: x = 60 + 4y 7x + 12y = 500 a (68, 2) b (50, 12.5) c (12.5, 50) d (2, 68)
Answers
The value of x and y in the equation is (x,y) = (68,2) (optionA)
What is Simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.
x= 60+4y equation 1
7x + 12y = 500 equation 2
rearranging the equation
x- 4y = 60
7x+12y = 500
using elimination method
7x-28y = 420 equation 3
7x+12y = 500 equation 4
subtract equation 4 from 3
-40y = -80
divide both sides by -40
y = -80/-40
y= 2
substitute 3 for y in equation 1
x = 60+4(2)
x= 60+8
x= 68
Therefore the value of x and y is 68 and 2 respectively.
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Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?
A graph shows the horizontal axis numbered 9 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 33 then a downward trend from 33 to 45.
A graph shows the horizontal axis numbered 15 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 30 then a downward trend from 30 to 45.
A graph shows the horizontal axis numbered 12 to 56. The vertical axis is numbered 2 to 8. The graph shows an upward trend from 1 to 32 then a downward trend from 32 to 56.
A graph shows the horizontal axis numbered 15 to 54. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 24, a downward trend from 24 to 27, an upward trend from 27 to 30, a downward trend from 30 to 39, an upward trend from 39 to 45, a downward trend from 45 to 48, then an upward trend from 48 to 51.
Answers
To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.
Looking at the histograms described:
The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.
The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.
The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.
The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.
Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.
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Express the given system of higher-order differential equations as a matrix system in normal form x', + x + y = 0 y"-2x=0
Answers
the given system of higher-order differential equations can be expressed as a matrix system in normal form as X' = [[0, 1], [0, 2]]X.
The normal form matrix system represents the equations in terms of first-order derivatives, allowing for a matrix representation of the system.
To express the given system of higher-order differential equations as a matrix system in normal form, we introduce new variables to represent the first-order derivatives of x and y. Let's define u₁ = x' and u₂ = y', which implies u₁' = x'' and u₂' = y''.
Now, we rewrite the given equations using these new variables:
u₁' + x + y = 0 -- (1)
u₂'' - 2x = 0 -- (2)
We can rearrange equation (1) to isolate x and y:
x = -u₁ - y -- (3)
Substituting equation (3) into equation (2), we get:
u₂'' - 2(-u₁ - y) = 0
Simplifying, we obtain:
u₂'' + 2u₁ + 2y = 0 -- (4)
Now, we have a system of two first-order differential equations:
u₁' = x' = u₁
u₂'' + 2u₁ + 2y = 0
To express this system in matrix form, we define the vector X = [u₁, u₂] and the matrix A = [[0, 1], [0, 2]].
X' = AX
where X' represents the vector of first-order derivatives.
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Steven bought a new computer at the end of a sale. The price of the computer was $52 on the day he bought it. The next day it had been marked up by 40%. What was the new price after the sale?
Answers
Answer:
$72.80
Step-by-step explanation:
You would multiply 52 with .40 to get 20.8. This is how much the price increased by. Then you would add the 20.8 to your original price of 52 to get 72.80.
(Also you use .40 initially because percent means out of 100. So 40% is the same as .4)
The new price after the sale of a new computer is, $72.8
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The price of the computer was $52 on the day he bought it.
And, The next day it had been marked up by 40%.
Let the new price after the sale of a new computer = x
So, We can formulate;
⇒ x = $52 + 40% of $52
⇒ x = $52 + 40 × 52/100
⇒ x = $52 + $20.8
⇒ x = $72.8
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Choose ONE statement to determine if they are correct. a. Brian claims that to find the rate of change of a given linear relationship you use change in x over change in y. Is he correct? Why or Why not. b. Soimone claims the initial value and y-intercept are the same thing on a graph. Is she correct? Why or Why not
Answers
Brian is incorrect because the rate of change is change in y over change in x. Soimone is correct because the initial value and y-intercept are the same thing.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept (initial value of y)
The rate of change (m) = (change in y)/(change in x).
Brian is incorrect because the rate of change is change in y over change in x. Soimone is correct because the initial value and y-intercept are the same thing.
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Given the cost of the following bulk ingredients, estimate the cost of on 8 inch taco.40 mission tortillas: $3.5812 pounds of ground beef:$35.287 pounds of refried beans: $6.785 pounds of shredded cheese: $12.98 138 Ounces of Medium Salsa: $8.97Each taco will have:1 tortilla.25 pounds of beef.125 pounds of beans1 ounce of cheese, 16 ounces in a pound or .0625 pounds of cheese 1 ounce of Salsa.Find the cost of each taco.
Answers
Given that rates of the ingredients, the cost per unit of each ingredients can be calculated as follows,
\(\begin{gathered} \text{Cost of 1 Tortilla=}\frac{3.58}{40}=0.0895 \\ \text{Cost of ground beef per pound=}\frac{35.28}{12}=2.94 \\ \text{Cost of refried beans per pound=}\frac{6.78}{7}\approx0.96857 \\ \text{Cost of shredded cheese per pound=}\frac{12.98}{5}=2.596 \\ \text{Cost of medium salsa per pound=}\frac{8.97}{138\times0.0625}=1.04 \end{gathered}\)Given the composition of each taco as, 1 tortilla, 0.25 pounds of beef, 0.125 pounds of beans, 0.0625 pounds of cheese, 1 ounce of Salsa.
Then the cost of taco (C) is calculated as the sum of the product of each ingredient per unit and number of units of that ingredient requires for 1 taco,
\(\begin{gathered} \text{C=(0.0895}\times1)+(2.94\times0.25)+(0.96857\times0.125)+(2.596\times0.0625)+(1.04\times0.0625) \\ C=0.0895+0.735+0.1211+0.16225+0.065 \\ C=1.17285 \end{gathered}\)Thus, the cost of each taco is $1.17285 approximately.
Which region represents the solution to the given system of the equalities
Answers
The solution to the given system of inequalities is the region below the line y = (-1/3)x - 1 and to the right of the vertical line x = 3.
To determine the region that represents the solution to the given system of inequalities, we need to graph the individual inequalities and identify the overlapping region.
Let's start with the first inequality: x + 3y < -3. To graph this inequality, we can first rewrite it in slope-intercept form:
3y < -x - 3
Next, isolate y by dividing both sides of the inequality by 3:
y < (-1/3)x - 1
This inequality represents a line with a slope of -1/3 and a y-intercept of -1. We can plot this line on a coordinate plane.
Next, let's graph the second inequality: x > 3. This inequality represents a vertical line passing through x = 3.
Now, we need to determine the overlapping region between the two graphs. Since we have a strict inequality (less than) for the first inequality, the region below the line represents the solution set.
Combining both graphs, we find that the solution to the given system of inequalities is the region that lies below the line y = (-1/3)x - 1 and to the right of the vertical line x = 3.
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The question probable may be:
[x+3y_< -3
[ X_>3
Four integers have a mean of 9, a median of 8.5, a mode of 5 and a range of 9.
Find the four integers.
Answers
The four integers are 5, 5, 12 and 14.
What is Mean, Mode and Median?A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set.
When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.
Given:
Mean= 9
Median = 8.5
Mode = 5
Range = 9.
let the numbers arranged in ascending order are a,b,c,d
Median: b+ c /2 = 8.5
b+ c = 17 (number in the middle)
Mode: a = 5, b= 5 {because mode is the most repeating data}
Range: d- a = 9 (last one minus first one)
d= 9 + 5
d= 14
Now, b+c = 17
c= 17-5
c= 12
So, the data is 5 ,5, 12, 14.
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