Answer:
x = 7
angle (7x + 8) = 57 degrees
Step-by-step explanation:
all triangles interior angles add up to 180 degrees.
(7x+8) + 90 + 33 = 180
7x+8 = 57
7x = 49
x = 7
(7x + 8) = 57
Answer:
57 degrees
Step-by-step explanation:
7x+8+33=90
7x=90-8-33
=90-41
7x=49
x=7
The sum of two factors of 48 is nineteen. The larger factor,
X, is one more than five times the smaller factor, y, Which
system of equations can be used to find the numbers?
Answer:
Umm b. X = 19 + y I think because it has a add
Step-by-step explanation:
what is the value of the expression (12-x)+ y/2 when x=4 and y=-8?
We need to find the value of the following expression:
\((12-x)+\frac{y}{2}\)When x=4 and y=-8. This basically means that we must replace x with 4 and y with -8:
\(\begin{gathered} (12-x)+\frac{y}{2} \\ (12-4)+\frac{-8}{2}=8-4=4 \end{gathered}\)Then the value of the expression when x=4 and y=-8 is 4.
Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are common catches. The mean length of a bluefish is 284 mm (millimeters) with a standard deviation of 39 mm. For pompano, the mean is 123 mm with a standard deviation of 34 mm. Stewart caught a bluefish that was 322 mm long, and Gina caught a pompano that was 176 mm long. Who caught the longer fish, relative to fish of the same species
This comparison is based on the standard deviations and mean lengths provided for each species. Other factors such as the variability of fish lengths within each species and the specific size distribution of fish in the area may also influence the comparison.
To determine who caught the longer fish relative to fish of the same species, we need to compare the lengths of the individual fish to the mean lengths of their respective species.
For Stewart's bluefish, the mean length of a bluefish is given as 284 mm with a standard deviation of 39 mm. Stewart's bluefish measured 322 mm in length. To assess whether Stewart's bluefish is longer than average for bluefish, we can calculate its z-score using the formula:
z = (x - μ) / σ
where x is the measured length of the fish, μ is the mean length of the species, and σ is the standard deviation.
For Stewart's bluefish:
z = (322 - 284) / 39 ≈ 0.974
A z-score of 0.974 indicates that Stewart's bluefish is approximately 0.974 standard deviations above the mean length for bluefish.
Similarly, for Gina's pompano, the mean length of a pompano is given as 123 mm with a standard deviation of 34 mm. Gina's pompano measured 176 mm in length. We can calculate the z-score for Gina's pompano:
z = (176 - 123) / 34 ≈ 1.559
A z-score of 1.559 indicates that Gina's pompano is approximately 1.559 standard deviations above the mean length for pompano.
Comparing the z-scores, we can conclude that Gina's pompano (with a z-score of 1.559) is longer relative to fish of the same species than Stewart's bluefish (with a z-score of 0.974). Therefore, Gina caught the longer fish relative to fish of the same species.
It's important to note that this comparison is based on the standard deviations and mean lengths provided for each species. Other factors such as the variability of fish lengths within each species and the specific size distribution of fish in the area may also influence the comparison.
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A manufacturing company buys a new stamping machine for $28,000. The maker of the machine informs the company’s CEO that on average, it depreciates in value according to the schedule shown in the table. Answer the questions that follow.
Months
Value
0
$28,000
6
$24,500
12
$21,000
18
$17,500
24
$14,000
Answer the following questions
1) If the depreciation continues at the same rate, how long will it take until the machine has no value?
2) Based on the pattern you see in the table, how do you know that the graph will be a straight line?
3) Enter the values in the table above in an Excel spreadsheet and use Excel to create a line graph. Label the axes and title the graph. Then copy the graph from your Excel spreadsheet and paste it below.
4) Find the slope of the graph and explain what it means.
5) Find the intercepts of the graph, and describe what each intercept means.
6) If we use the letter x to represent the variable number of months, write an expression that represents the value of the machine.
7) Use your expression from Question 6 to find when the machine has no value, and compare it to the answer you have in Question 1. Do you get the same/different answers? Explain.
1.The machine will have no value after 48 months. 2.The graph of the machine's value over time will be a straight line. 3.The slope of the graph represents the rate of depreciation per month. 4.The intercepts of the graph indicate the initial value and zero value. 5.The expression V = -750x + 28,000 represents the value of the machine. 6.The machine has no value when x = 37 according to the expression. 7.The answer obtained using the expression differs from the answer in 8.question 1 due to possible rounding errors or calculation variations.
To determine when the machine has no value, we observe the pattern of depreciation. Based on the given data, the machine depreciates by $3,500 every 6 months. Therefore, it will take 48 months (8 cycles of 6 months) for the machine to have no value.
The table shows a consistent decrease in value over time with equal intervals of 6 months. This indicates a linear relationship between the number of months and the value. A linear relationship is represented by a straight line on a graph.
The slope of the graph can be determined by calculating the change in value divided by the change in time. In this case, the slope is (-750), meaning the value decreases by $750 per month. It represents the rate of depreciation per month.
The intercepts of the graph are obtained by determining the value of the machine at the start (initial value intercept) and when it reaches zero (zero value intercept). The initial value intercept is $28,000, which represents the starting value of the machine. The zero value intercept occurs when the machine has no value.
The expression V = -750x + 28,000 represents the value of the machine. The coefficient of x (-750) represents the rate of depreciation per month, while the constant term (28,000) represents the initial value.
Using the expression, when x = 37, the machine has no value. This differs from the answer in question 1 (48 months). The discrepancy could be due to rounding errors or variations in the method used to calculate the exact point at which the value reaches zero.
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Which of the following could represent the cost of 5 t-shirts and a $7 tax?
Answer:
y = 5x + 7
Step-by-step explanation:
I am guessing, but you are leaving something out.
y = the total cost.
x = the number of shirts.
Answer:
The total cost for the 7 shirts including tax is 7n + 6
Step-by-step explanation:
We want to find the Cost of 7 t-shirts and $6 tax.
Now, the let the cost of the 7 shirts be n. Thus, we can now say that cost of 7 shirts is 7n.
Now, since there is an additional cost of $6 for tax, we can now say that the total cost for the 7 shirts including tax is expressed as;
7n + 6
Thus, we conclude that the total cost for the 7 shirts including tax is 7n + 6
Evaluate the definite integral, if it exists \( \displaystyle \int \limits _{ - 1}^{1} \dfrac{x + 1}{(x + 2)^{4} } dx\)
Answer:
0.1235 to the nearest ten thousandth.
Step-by-step explanation:
First write it in partial fraction form:
(x + 1)/(x + 2)^4 = 1 / (x + 2)^3 - 1 / (x + 2)^4
Integrating:
gives 1/ 3(x + 2)^3 - 1/ 2(x + 2)^2
Evaluating between the limits -1 and 1:
= -0.0432 - (-0.166666666)
= 0.1234666
A square patio has an area of 108 square feet. How long is each side of the patio to the nearest tenth?
Each side of the patio is approximately
feet long.
tap on the photo. i don't understand how to do part c.
(c) the element x that does not
change when it is mapped
onto z
Answer:
it's basically just saying find the X that if it's mapped to Z would still have the same X value
Which table of values represents exponential decay?
The table of values that represents exponential decay is (c)
How to determine the table of values represents exponential decay?From the question, we have the following parameters that can be used in our computation:
The table of values
An exponential function is represented as
y = abˣ
Where
Rate = b
When the rate is less than 1, then the table represents a decay
i.e when y reduces as x increases
The table that has the above features is the table (c)
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Find the derivative of
\( y = \sqrt[3]{x} \)
at the point where x = 27.
Answer:
\(\displaystyle y'(27) = \frac{1}{27}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Root Rewrite]: \(\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}\)Exponential Rule [Rewrite]: \(\displaystyle b^{-m} = \frac{1}{b^m}\)Calculus
Derivatives
Derivative Notation
Basic Power Rule
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
y = ∛x
x = 27
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: \(\displaystyle y = x^{\frac{1}{3}}\)Basic Power Rule: \(\displaystyle y' = \frac{1}{3}x^{\frac{1}{3} - 1}\)Simplify: \(\displaystyle y' = \frac{1}{3}x^{-\frac{2}{3}}\)Rewrite [Exponential Rule - Rewrite]: \(\displaystyle y' = \frac{1}{3x^{\frac{2}{3}}}\)Step 3: Solve
Substitute in x [Derivative]: \(\displaystyle y'(27) = \frac{1}{3(27)^{\frac{2}{3}}}\)Evaluate exponents: \(\displaystyle y'(27) = \frac{1}{3(9)}\)Multiply: \(\displaystyle y'(27) = \frac{1}{27}\)Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Suppose that you have $6,000 to invest. Which investment yields the greater return over a 10 year period: 7.44% compounded daily or 7.5% compounded quarterly? Find the total amount of the investment after 10 years if $6,000 is invested at 7.44% compounded daily. $ (Round to the nearest cent as needed.) help me please im failing
Can someone help me with this pleaseee…….
The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.
We have,
To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:
Distance Formula:
If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:
d = √((x2 - x1)² + (y2 - y1)²)
Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:
AB = √((4 - (-5))² + (5 - 5)²) = 9
BC = √((2 - 4)² + (0 - 5)²) = √(29)
CD = √((-5 - 2)² + (-2 - 0)²) = √(74)
DA = √((-5 - (-5))² + (5 - (-2))²) = 7
Therefore,
The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.
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a biologist is studying the growth of a particular species of algae. she writes the following equation to show the radius of the algae, f(d), in mm, after d days: f(d)
The y intercept of the graph of the function f(d) indicates f(d) = 11 and the average rate of change of the function f(d) from d = 2 to d = 7 is 0.114, making 6.97 a reasonable domain to depict the growth function.
What is meant by equation ?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
An equation is a mathematical expression with two equal sides and an equal sign in between. An equation is a mathematical statement proving the equality of two numbers or values.
Equations can be categorized as either identities or conditional equations. For each value of the variables, an identity holds true. Only specific values of the variables make a conditional equation true. An equals symbol ("="), separating two expressions, is used to represent an equation.
Part A:
11.79 = 11(1.01\()^d\)
substitute the values in the above equation, we get
\($$& (1.01)^d\) = 11.79 / 11
simplifying the equation, we get
\($$& (1.01)^d\) = 1.071818
d = log 1.071818 / log 1.01
The value of d = 6.97
Part B:
y-intercept is obtained when domain = 0
\($& d=0 \Rightarrow f(0)=11(1.01)^0=11 \times 1=11 \\\)
f(d) = 11
Part C:
Average rate of change,
\($\Delta \mathrm{f} / \Delta \mathrm{d} & =(\mathrm{f}(7)-\mathrm{f}(2)) /(7-2) \\\)
\($& =\left(11(1.01)^7-11(1.01)^2\right) / 5 \\\)
= 0.57 / 5 = 0.114
The y intercept of the graph of the function f(d) indicates f(d)=11 and the average rate of change of the function f(d) from d=2 to d=7 is 0.114, making 6.97 a reasonable domain to depict the growth function.
The complete question is:
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 11(1.01)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent?
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6.97 is an appropriate domain in which to represent the growth function because the y intercept of the graph of the function f(d) suggests that f(d) = 11 and the average rate of change of the function f(d) from d = 2 to d = 7 is 0.114 as studied by biologist.
What do you understand by equation ?A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra.
A mathematical expression with two equal sides and an equal sign in the middle is called an equation. A mathematical statement establishing the equality of two numbers or values is called an equation.
Either identities or conditional equations are categories for equations. Each value of the variables corresponds to a specific identity. A conditional equation can only be true for a certain range of variable values. An equation is represented by two expressions being separated by the equals sign ("=").
Part A:
11.79 = 11(1.01
substitute the values in the above equation, we get
\((1.01)^{d}\) = 11.79 / 11
simplifying the equation, we get
(1.01)^{0} = 1.071818
d = log 1.071818 / log 1.01
The value of d = 6.97
Part B:
y-intercept is obtained when domain = 0
d = 0
f(0) = 11\((1.01^{0} )\) = 11 * 1 = 11
f(d) = 11
Part C:
Average rate of change,
Δf / Δd = (f(7) - f(2)) / 7-2
= 0.57 / 5 = 0.114
The y intercept of the graph of the function f(d) indicates f(d)=11 and the average rate of change of the function f(d) from d=2 to d=7 is 0.114, making 6.97 a reasonable domain to depict the growth function.
The complete question is:
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 11(1.01)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent?
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what is the quotient of the expression
\( \frac{21a {}^{3} b - 14ab {}^{2} + 7ab}{7ab} \)
Complete the following sentence. (Lesson 0-1)
275mm= ? m
On calculation it is found that 275 mm is equal to 0.275 meters.
Unit conversion is the process of converting a quantity from one unit of measurement to another. It involves changing the scale or magnitude of a measurement while keeping the underlying value the same. Unit conversion is necessary when working with different systems of measurement, such as converting between metric and imperial units. To complete the sentence, we can convert 275 mm to meters.
1 meter is equal to 1000 millimeters (mm). Therefore, to convert millimeters to meters, we divide the length in millimeters by 1000.
275 mm = 275/1000 meters
Simplifying the division:
275/1000 = 0.275
Therefore, 275 mm is equal to 0.275 meters.
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after a suspect is released from questioning for a certain period of time, he is no longer under the miranda warning. how long is this period of time?
To answer your question, there is actually no set period of time after which a suspect is no longer under the Miranda warning. The Miranda warning is given to suspects before they are questioned by law enforcement officers to inform them of their rights to remain silent and to have an attorney present during questioning.
The Miranda warning used by law enforcement lists several different things that citizens are entitled to including:
The right to remain silent- Individuals are warned that anything they say can be used against them in a court of law.
Right to an attorney- Individuals can have legal counsel with them throughout the process.
Individuals who are being arrested for a crime are made aware of these rights. This warning allows individuals to understand what the procedures are after the arrest and what rights they have throughout the process. These rights are used as a means to ensure that the suspect understands what is happening and it prevents law enforcement officials from violating a citizens rights.To answer your question, there is actually no set period of time after which a suspect is no longer under the Miranda warning. The Miranda warning is given to suspects before they are questioned by law enforcement officers to inform them of their rights to remain silent and to have an attorney present during questioning.
Once a suspect has been read their Miranda rights, those rights remain in effect throughout the duration of their interactions with law enforcement. If a suspect is released from questioning and then later questioned again, they must be read their Miranda rights again before questioning can resume.
It is important to note that the Miranda warning is a protection for suspects' constitutional rights, and it is not dependent on time. Law enforcement officers must inform suspects of their Miranda rights each time they are questioned, regardless of how much time has passed since their previous questioning.
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The rate startfraction 450 pounds over 25 buckets endfraction describes the relationship between the number of buckets and the weight of the lobsters in the buckets. what is the weight of one bucket of lobsters?
15 pounds per bucket
18 pounds per bucket
20 pounds per bucket
25 pounds per bucket
Answer:
The answer is 18 pounds per bucket.
Understanding the ProblemIn this question, we are given the expression that relates the pounds of lobster to the number of buckets:
\(\displaystyle \frac{\text{450 pounds}}{\text{25 buckets}}\)
This fraction is presented to give a proportion of pounds of lobster to the number of buckets these lobsters inhabit.
With this proportion, we are expected to assume that the rate will be equivalent across all of the buckets. Therefore, for each bucket, there will be an equal measurement of pounds of lobster.How to Solve the ProblemTo solve this problem, we need to know exactly how this rate will work.
A rate is the same thing as a fraction, percentage, or decimal. All of these forms are convertible between one another.
For instance, if we took 25%, we know that by dividing this by 100, we receive a decimal form (0.25) or a fractional form (1/4).
We can apply the same principle here.
SolvePart I - Set up the Rate
To solve, set up the rate:
\(\displaystyle \frac{450 \ \text{pounds}}{25 \ \text{buckets}}\)
Part II - Find the GCF
Then, find the Greatest Common Factor (GCF) of the two digits:
25 — 1, 5, 25450 — 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450Check for common factors between the two trees:
1, 5, 25Since 25 is the greatest of the three factors, it is the GCF.
Part III - Apply the GCF
Divide both the numerator and the denominator by 25:
\(\displaystyle \frac{450}{25} = 18\)
\(\displaystyle \frac{25}{25} = 1\)
Part IV - Simplify
Set up the new fraction:
\(\displaystyle \frac{18}{1}\)
Anything divided by 1 does not change:
\(\displaystyle \frac{18}{1} = 18\)
Final ApplicationsSince we got 18 an answer, this means that there are 18 pounds of lobster per bucket.
Need help with this!
Answer:7
Step-by-step explanation:
4+9×(12÷4−2)−2×3
Divide 12 by 4 to get 3.
4+9(3−2)−2×3
Subtract 2 from 3 to get 1.
4+9×1−2×3
Multiply 9 and 1 to get 9.
4+9−2×3
Add 4 and 9 to get 13.
13−2×3
Multiply 2 and 3 to get 6.
13−6
Subtract 6 from 13 to get 7.
7
And you can use https://mathsolver.microsoft.com/en/solve-problem/4%2B9%20%60times%20%20%20%60left(%2012%20%60div%20%204-2%20%20%60right)%20%20-2%20%60times%20%203 to help you copy and paste it into a tab.
Answer:
7
Step-by-step explanation:
Step 1: simplify 3/1
Equation at the end of step one:
(4 + (9 • (3 - 2) - 6
Final Result: 7 hope this helps :)
the following data represent the number of songs downloaded per month by people of various ages. a researcher wants to determine whether the age of the person downloading songs helps predict the number of songs downloaded. age 15 17 18 19 23 27 48 number of songs downloaded 34 33 38 27 21 16 6 the calculated correlation coefficient is r= -0.898. Would you say the correlation is weak, moderate, or strong?
The correlation coefficient r=-0.898. From this, we can conclude that the correlation is strong.
The researcher wants to determine whether the age of the person downloading songs helps predict the number of songs downloaded. The age and the number of songs downloaded per month data are as follows:
Age Number of Songs Downloaded153433183827192116486
The researcher can use the correlation coefficient to measure the correlation between the two variables. The correlation coefficient is denoted by r. It lies between -1 and +1. Here's what it means: If r is close to -1, then there is a strong negative correlation between the two variables. If r is close to +1, then there is a strong positive correlation between the two variables. If r is close to 0, then there is no correlation between the two variables.
The calculated correlation coefficient is r=-0.898. This indicates that there is a strong negative correlation between the age of the person downloading songs and the number of songs downloaded. Therefore, we can say that the correlation is strong.
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sin(20) = cos(2u) = tan(24) = 3. [-/5 Points] Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. sin(u) = -3/5, 3m/2
Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.
Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).
The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).
Therefore, sin(2u) = 2(-3/5)(cos(u)).
Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).
The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).
Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).
The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).
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£0.65 in pence maths
Answer:
65p
Step-by-step explanation:
uhhhh......
I am really confused
Christina has 14 pairs of earrings. She is receiving 72 times as many pairs as she already has. Once she gets the new earrings, how many total pairs of earrings will she have?
Answer:
1,008 pairs of earrings
Step-by-step explanation:
14 multiplied by 72 equals 1,008
Claim Most adults would erase all of their personal information online if they could. A software firm survey of 620 randomly selected adults showed that 50% of them would erase all of their personal information online if they could. Find the value of the test statistic
The value of the test statistic is (Round to two decimal places as needed.)
The value of the test statistic is 0.00.
To determine the value of the test statistic, we need to compare the proportion of adults who would erase all their personal information online (p) with the proportion who would not (q = 1 - p). In this case, the survey results indicate that 50% of the 620 randomly selected adults would choose to erase their personal information online if given the opportunity.
To calculate the test statistic, we can use the formula for the standard error of a proportion:
SE = √[(p * q) / n]
where p is the proportion of adults who would erase their personal information online, q is the proportion who would not, and n is the sample size.
Given that p = 0.50, q = 1 - p = 0.50, and n = 620, we can substitute these values into the formula:
SE = √[(0.50 * 0.50) / 620] = √[0.25 / 620] ≈ 0.00
Therefore, the value of the test statistic is approximately 0.00.
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the joint density function of y1 and y2 is given by f(y1, y2) = 30y1y2^2, y1 − 1 ≤ y2 ≤ 1 − y1, 0 ≤ y1 ≤ 1, 0, elsewhere. (a) find f (1/2 , 1/2) (b) find f (1/2 , 2)
According to the Question, the required Joint value function of
a) \(f(\frac{1}{2}, \frac{1}{2}) =\frac{15}{4}.\)
b) \(f(\frac{1}{2} , 2) = 60.\)
We replace the supplied values with the function to get the outcomes of the joint density function \(f(y_{1}, y_{2})\) at certain places.
(a) To find \(f(\frac{1}{2} , \frac{1}{2} )\):
Substitute \(y_{1 }= \frac{1}{2}\) and \(y_{2} = \frac{1}{2}\) into the joint density function:
\(= f(\frac{1}{2}, \frac{1}{2}) = 30 * (\frac{1}{2}) * (\frac{1}{2})^2\\\\= 30 * (\frac{1}{2}) * (\frac{1}{4})\\\\= \frac{30}{8}\\\\= \frac{15}{4}\)
Therefore, \(f(\frac{1}{2}, \frac{1}{2}) =\frac{15}{4}.\)
(b) To find \(f(\frac{1}{2} , 2)\):
Substitute \(y_{1} = \frac{1}{2}\) and \(y_{2 }= 2\) into the joint density function:
\(=f(\frac{1}{2} , 2) = 30 * (\frac{1}{2}) * (2)^2\\\\= 30 * (\frac{1}{2}) * 4\\\\= 60\)
Therefore, \(f(\frac{1}{2} , 2) = 60.\)
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how would i find the perimeter and area of this
Answer: P: 6x - 6 + (pi * x/2) A: 3x^2 - 3x - (pi * (x^2)/4)
Step-by-step explanation:
The missing section is a quarter of a circle. It is the same length at 90 degrees difference following an arc. This radius is X, same as the smaller length of the rectangle. The longer length of the rectangle is 2x-3+x, or 3x-3.
Area: Rectangle area is X * (3x-3) or 3x^2 - 3x. Subtract the missing piece. The full area of the circle would be pi * x^2. Divide by 4 for a quarter circle. So the full area would be 3x^2 - 3x - (pi * (x^2)/4).
Perimeter. x + 2x-3 + 3x-3 + the arc. The arc is a quarter of the circle's circumference. pi * 2x over 4. So total perimeter would be 6x-6 + (pi * 2x/4 or pi * x/2).
Just my best guess tho
let r be the relation on the set of people such that xry if x and y are people and x is older than y. show that r is not a partial ordering.
The relation "r" defined on the set of people, where xry if x is older than y, is not a partial ordering. The first paragraph will provide a summary of the answer, and the second paragraph will explain why the relation fails to satisfy the properties of a partial ordering.
Reflexivity: For every person x, x must be older than or equal to themselves. In this case, the relation holds true since a person is always older than or equal to themselves.
Antisymmetry: If x is older than y and y is older than x, then x and y must be the same person. However, in this case, the relation does not satisfy antisymmetry because two different people can have different ages. For example, person A can be older than person B, and person B can be older than person C, but person A and person C can still be different individuals.
Transitivity: If x is older than y and y is older than z, then x must be older than z. In this case, the relation satisfies transitivity since if person A is older than person B and person B is older than person C, then person A is older than person C.
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. Carol earns $16.00 for 1/2 of an hour. Peter earns $15.00 for 1/3 of an hour. How much do Carol and Peter earn for 3 hours of work? *
HINT: this problem is similar to Lesson 5-2, page 87
1 point
$31.00
$93.00
$77.00
$231.00
4. There is a snowstorm in a certain town. In 1/2 hour, there was 7/8 inches of snow. It continues at the same rate for a total of 2 hours. Which statement is true about the amount of snow in the 2-hour period. *
HINT: This problem is similar to #5, page 95
1 point
A The number of inches of snow is 2 times 7/4
B The number of inches of snow is 4 times 7/4
C The number of inches of snow 8 times 7/8
D The number of inches of snow is 30 times 7/8
Bob has a recipe for salad dressing. The recipe says to mix 2/8 c of lemon juice, 1/8 c mustard, and 2/8 cup vinegar. How many cups of salad dressing will bob make with this recipe? Use this information to solve question # 5
What is the constant of proportionality for the cups of lemon juice to the cups of salad dressing? *
HINT: This problem is similar to #1, page 93
1 point
A 2/5
B 10/32
C 5/8
D 16/10
6. At five below there is a discount of $5 for every 4 items you buy. If the receipt show discount of $20 how many items did you buy? *
HINT: This problem is similar to #6, page 90
1 point
A You bought 20 items
B You bought 15 items
C You bought 16 itmes
D You bought 8 items
7. A recipe for 4 servings of pudding calls for 2/3 cup of cream. How much cream is needed for 12 servings of pudding? *
HINT: This is like sugar-flour problem we did for warm up.
1 point
A 10 cups
B 8 cups
C 16 cups
D 2 cups
8. In a recent survey, 200 students voted on their favorite lunch. For every 7 votes for pizza, there were 3 votes for tacos. How many more votes does pizza receive than tacos? *
HINT: This is similar to the Example on page 93
1 point
A There were 80 more votes for pizza than tacos
B There were 800 more votes for pizza than tacos
C There were 31 more votes for pizza than tacos
D There were 2,000 more votes for pizza than tacos
*
HINT: Make a table how do you get 30 from 10? Gear D will change the same way. (Hint: we don't add/subtract to find change for proportions)
1 point
A 55 times
B 45 times
C 65 times
D 35 times
10. Peter mixes 2/5 cup of fertilizer in every 4 gallons of water to use on his lawn. How much fertilizer does he use per gallon? (you need to divide the amount of fertilizer by gallons of water, use keep-change-flip rule to divide) *
1 point
A 8/5 cups of fertilizer per gallon of water
B 1/10 cups of fertilizer per gallon of water
C 1/20 cup of fertilizer per gallon of water
D 1/4 cup of fertilizer per gallon of water
Please anwser these question I dont want to fail
Answer:
231.00
Step-by-step explanation:
Carol earns 16 for 30 minutes, so $32 an hour, 32 * 3 = 96.
Peter earns 15 every 20 minutes, so 20 * 3 = 60 minutes, and 15 * 3 = 45,
so he earns 45 dollars an hour. 45 * 3 = 135
135+96 = 231.00
U shall not fail .w.
Please help Please help
The distance between point C and point D is 10.
Point D is on the 1 and Point C is on -9.
1-(-9)=10.
Which among the following represents a function?
The fourth case represents a function .
From the figure :
Functions cannot have different values of y for the same value of x. Now let us check each case one at a time.
First Case:
For the same value of x=-1, y has two different values of 7 and 1, which is not allowed in a function. Therefore, the first case is not a function.
Second Case:
For the same value of x=-1, y has two different values of -5 and 1, which is not allowed in a function. Therefore, the second case is not a function.
Third Case:
For the same value of x=3, y has two different values of 2 and 4, which is not allowed in a function. Therefore, third case is not a function.
Fourth Case:
In this case no value of x is same. So, this is a function.
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Full question:
is in the image uploaded.
Which of the following is a
parameterization of the line that passes through the point (2,-3) with a slope of 4?
The expression that is a
parameterization of the line that passes through the point (2,-3) with a slope of 4 is option D. x= t and y = 4t - 6, for any t
It is a parameterization of the line that passes through the point (2,-3) with a slope of 4, because the point (2,-3) satisfies the equation x = t and y = 4t - 6 and the slope of the line is
What is a parameterization of the line?A parameterization of a line is a set of equations that describe the location of points on the line in terms of a parameter. One common parameterization of a line is the point-slope form, which expresses the line as y = mx + b, where m is the slope of the line and b is the y-intercept.
Another common parameterization is the two-point form, which expresses the line as (x - x1)/(x2 - x1) = (y - y1)/(y2 - y1), where (x1, y1) and (x2, y2) are two distinct points on the line.
Therefore, the correct answer is as given above
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