Answer:
To find -2B - A, we need to first find the product of 2 and matrix B, and then subtract matrix A from the result.
We can start by finding the product of 2 and matrix B:
2B = 2 *
[
1
4
−6
10
−7
−2
] =
[
2
8
−12
20
−14
−4
]
Next, we can subtract matrix A from 2B:
-2B - A =
[
2
8
−12
20
−14
−4
] -
[
4
2
5
6
4
4
] =
[
-2
6
-17
14
-18
-8
]
Therefore,
−2
�
−
�
.
−2B−A
�
=
[
-2
6
-17
14
-18
-8
].
Step-by-step explanation:
lamar built a large wooden storage box. the box was in the shape of a rectangular prism, as shown below. he covered all the sides of the box with special wallpaper that cost a total of . how much did the wallpaper cost per square foot?
Without knowing the total cost of the wallpaper or the dimensions of the rectangular prism, it is not possible to determine the cost of the wallpaper per square foot.
To calculate the cost per square foot, we would need to know the total cost of the wallpaper and the total area covered by the wallpaper. Since we do not have this information, we cannot determine the cost per square foot.
In summary, the cost of the wallpaper per square foot cannot be determined without knowing the total cost of the wallpaper and the dimensions of the rectangular prism that Lamar built.
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You can think of an array as a collection of variables contained within a single variable.a. Trueb. False
The correct answer is option A - True. An array is a data structure in programming that allows you to store a collection of values of the same data type in a single variable.
Each value is assigned an index number, starting from 0, which represents its position in the array. Arrays are useful in programming because they allow you to store and manipulate multiple values using a single variable. This can help simplify code and make it more efficient.
For example, if you wanted to store the grades of 10 students in a program, you could create an array of 10 elements and assign each grade to a specific index in the array. In addition to storing data, arrays can also be used to perform calculations and manipulate data.
For example, you could use a loop to iterate through an array and calculate the average of all the values stored in the array. Overall, arrays are a powerful tool in programming that can help you organize and manipulate data.
By thinking of an array as a collection of variables contained within a single variable, you can better understand how arrays work and how to use them effectively in your programs.
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A bag contains 3 basketballs, 10 baseballs, 7 golf balls, and 5 footballs. A ball is chosen at random, not replaced, then another is chosen. Find each probability.
The probabilities are P(a golf ball then a basketball) is 0.0451, P(a football then a baseball) is 8.33%, P(basketball, then not a football) is 0.0864 and P(two baseballs) is 0.15.
For the first probability, we want to find the probability of drawing a golf ball first and a basketball second. There are a total of 25 balls in the bag, so the probability of drawing a golf ball first is 3/25. After drawing a golf ball, there are 22 balls left in the bag, including 3 basketballs.
Therefore, the probability of drawing a basketball second is 7/22. Since we want both events to occur, we multiply the probabilities together to get:
P(a golf ball then a basketball) = 3/23 * 7/22 ≈ 0.0451
For the second probability, we want to find the probability of drawing a football first and a baseball second. There are a total of 25 balls in the bag, so the probability of drawing a football first is 5/25.
After drawing a football, there are 24 balls left in the bag, including 10 baseballs. Therefore, the probability of drawing a baseball second is 10/24. Since we want both events to occur, we multiply the probabilities together to get,
P(a football then a baseball) = 5/25 * 10/24
= 1/12
= 0.0833
In percentage it will be 8.33%.
For the third probability, we want to find the probability of drawing a basketball first and then any ball that is not a football. There are a total of 25 balls in the bag, so the probability of drawing a basketball first is 3/25.
After drawing a basketball, there are 24 balls left in the bag, including 5 footballs. Therefore, the probability of not drawing a football second is (24-5)/24 = 19/24. Since we want both events to occur, we multiply the probabilities together to get,
P(basketball, then not a football) = (3/25) * (1 - 5/24)
= 0.0864
For the fourth probability, we want to find the probability of drawing two baseballs. There are 10 baseballs in the bag, so the probability of drawing a baseball first is 10/25. After drawing a baseball, there are 9 baseballs left in the bag out of a total of 24 balls.
Therefore, the probability of drawing another baseball second is 9/24. Since we want both events to occur, we multiply the probabilities together to get:
P(two baseballs) = 10/25 * 9/24
= 3/20
= 0.15
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What is the value of x? Round your answer to the nearest tenth as needed
Answer:
If two secant segments intersect outside a circle, then the product of one secant segment with its external portion equals the product of the other secant segment with its external portion.
x^2 = 2(6)
x^2 = 12, so x = 2√3 = 3.5
What are the values of a and b in the relative frequency table for the survey results? round answers to the nearest percent. a = 40%, b = 4% a = 41%, b = 3% a = 47%, b = 3% a = 41%, b = 19%
This means that the remaining categories must add up to 40%.
A relative frequency table shows the proportion or percentage of observations that fall into each category. The sum of all the relative frequencies in the table should add up to 1 or 100%.
If a is 40% and b is 4%, the total relative frequency is:
a + b = 40% + 4% = 44%
Since the relative frequencies should add up to 100%, we know that the remaining categories must add up to 56%. Without more information about the survey results, we can't determine what those other categories are.
Similarly, if a is 41% and b is 3%, the total relative frequency is:
a + b = 41% + 3% = 44%
Again, the remaining categories must add up to 56%.
If a is 47% and b is 3%, the total relative frequency is:
a + b = 47% + 3% = 50%
This means that the remaining categories must add up to 50%.
If a is 41% and b is 19%, the total relative frequency is:
a + b = 41% + 19% = 60%
This means that the remaining categories must add up to 40%.
Without more information about the survey results or the other categories in the table, we can't determine which of these values for a and b is correct.
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A zero-seeking device operates as follows: If it is in state m at time n, then at time n+1, its position is uniformly distributed over the states 0,1, . . . ,m−1. Find the expected time until the device first hits zero starting from state m.
Note: This is a highly simplified model for an algorithm that seeks a maximum over a finite set of points.
The expected time until the device first hits zero starting from state m is E[T_m] = m * (1 + E[T_{m-1}])/2
The expected time until the zero-seeking device hits zero starting from state m can be found using the principle of conditional expectation. Let T_m be the time until the device first hits zero starting from state m. We have T_0 = 0 since the device is already at zero. For m > 0, we can condition on the next state of the device at time n+1. Since the device is uniformly distributed over the states 0,1,...,m-1 at time n+1, the expected time until the device hits zero starting from the next state is T_{m-1}. Therefore, we have:
E[T_m] = 1 + (1/m) * [T_0 + T_1 + ... + T_{m-1}]
Using the principle of linearity of expectation and the fact that T_0 = 0, we can simplify this to:
E[T_m] = 1 + (1/m) * (T_1 + T_2 + ... + T_{m-1})
We can continue this process recursively to get:
E[T_m] = 1 + (1/m) * (1 + E[T_{m-1}] + 1 + E[T_{m-2}] + ... + 1 + E[T_1])
Simplifying this expression, we get:
E[T_m] = m * (1 + E[T_{m-1}])/2
Using this recursive formula and the base case E[T_0] = 0, we can calculate E[T_m] for any value of m. This simplified model for an algorithm that seeks a maximum over a finite set of points provides useful insight into the expected behavior of such algorithms.
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One cup is equal to 14. 4375 in^3. If a 1-cup measuring cylinder has a radius of 2 in what is its height
The height of the 1-cup measuring cylinder with a radius of 2 inches is approximately 1.1508 inches.
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
We know that 1 cup is equal to 14.4375 in^3. So, we can set up an equation:
14.4375 = π(2)^2h
Simplifying, we get:
14.4375 = 4πh
Dividing by 4π, we get:
h = 14.4375 / (4π) ≈ 1.1508 inches
Therefore, the height of the 1-cup measuring cylinder with a radius of 2 inches is approximately 1.1508 inches.
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If r(t) =e2t,e-2t,te2t, find T(0),r''(0), and r'(t) r''(t)
The values of T(0) = e(0) = 1, r''(0) = 8, r'(t) = 2e^(2t) - 2e^(-2t), r''(t) = 8e^(2t) + 8e^(-2t).
We are given that r(t) = e^(2t), e^(-2t), te^(2t). To find T(0), we need to evaluate the unit tangent vector T(t) at t=0. The formula for the unit tangent vector is T(t) = r'(t)/|r'(t)|, where |r'(t)| is the magnitude of r'(t).
r'(t) = 2e^(2t) - 2e^(-2t), so r'(0) = 2 - 2 = 0.
Thus, T(0) = r'(0)/|r'(0)| = 0/|0|, which is undefined.
However, since r'(0) = 0, we can use the normal vector instead to find the direction of the tangent line at t=0.
The normal vector N(0) is given by N(t) = T'(t)/|T'(t)|. To find T'(t), we differentiate r'(t) with respect to t:
r''(t) = 4e^(2t) + 4e^(-2t)
So, r''(0) = 4 + 4 = 8. Thus, T'(0) = r''(0)/|r'(0)| = 8/0, which is undefined.
To find r'(t), we can differentiate r(t) using the product rule:
r'(t) = 2e^(2t), -2e^(-2t), 2te^(2t) + e^(2t)
To find r''(t), we can differentiate r'(t):
r''(t) = 4e^(2t), 4e^(-2t), 4te^(2t) + 4e^(2t)
Thus, r'(t) = 2e^(2t) - 2e^(-2t), and r''(t) = 8e^(2t) + 8e^(-2t).
Therefore, T(0) = e^(0) = 1, r''(0) = 8, r'(t) = 2e^(2t) - 2e^(-2t), and r''(t) = 8e^(2t) + 8e^(-2t).
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In Fechner's Law as one variable increases arithmetically, the other variable increases ____.
a. arithmetically
b. geometrically
c. metaphysically
d. mathematically
e. psychophysically
In Fechner's Law, as one variable increases arithmetically, the other variable increases geometrically.
In Fechner's Law, as one variable increases arithmetically, the other variable increases: b. geometrically.
Fechner found in his research that different people have different sensitivities to certain stimuli. For example, the ability to see differences in light can affect the quality of a person's vision. It has also been noted that people are sensitive to changes in stimuli due to emotional impact. He used this to create another version of Weber's law, which he called die Maß formel, or "measurement formula." Fechner's law states that the force of thought is proportional to the logarithm of the force.
If the intensity of the stimulus is tripled (eg 3×1), the sensitivity doubles from its original value (eg 1+1).
If the intensity of the stimulus is tripled again (eg 3×3×1), the corresponding sensitivity will be three times its original value (eg 1+1+1).
So, for the stimulus intensity to double, the perceived intensity only increases.
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Richard walked 15.74 miles and James walk 12.98 miles how many more miles did Richard walk then James.
Answer: He walked 2.76 more miles.
Step-by-step explanation: In this problem, we would subtract James' miles from Richard's miles to get the answer.
15.74 miles - 12.98 miles = 2.76 miles.
Therefore, Richard walked 2.76 more miles than James.
Let f(t) be the probability density function for the time it takes you to drive to school in the morning, where is measured in minutes. Express the following probabilities as integrals. (If you need to use coor-co, enter INFINITY or -INFINITY, respectively.) (a) The probability that you drive to school in less than 50 minutes S. RC) dt (b) The probability that it takes you more than a quarter of an hour to get to school S. (t) de
(a) The probability that you drive to school in less than 50 minutes is [tex]\int_{0}^{50} f(t) dt[/tex].
(b) The probability that it takes you more than a quarter of an hour to get to school is [tex]\int_{15}^{\infty} f(t) dt[/tex].
(a) The probability that you drive to school in less than 50 minutes can be expressed as the integral of the probability density function f(t) over the interval from 0 to 50 minutes. This is represented as:
[tex]\int_{0}^{50} f(t) dt[/tex]
(b) The probability that it takes you more than a quarter of an hour (15 minutes) to get to school can be expressed as the integral of the probability density function f(t) over the interval from 15 minutes to infinity.
This is represented as:
[tex]\int_{15}^{\infty} f(t) dt[/tex]
Remember that these integrals represent the probabilities we're looking for, and we would need to actually evaluate them with the specific probability density function f(t) to obtain numerical values.
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Write an expression to represent: 6 less than the product of 4 and x
Answer:
4x-6
Step-by-step explanation:
when it ask for less than, we are subtracting. subtract 6 from 4x and you have your expression.
have a great day and thx for your inquiry :)
the angle of a body segment with respect to a fixed line of reference is known as a
The angle of a body segment with respect to a fixed line of reference is known as a "relative angle."
The angle of a body segment with respect to a fixed line of reference is known as a reference angle. This angle is measured between the segment and the reference line, and is used to determine the position and orientation of the segment relative to other parts of the body or external objects. The segment itself refers to a specific part of the body, such as an arm, leg, or torso, that is bounded by two or more joints or points of attachment. By measuring the reference angle of a segment, it is possible to quantify the degree of movement or displacement of that segment, and to track changes in its position over time.
In this context, the angle represents the measurement of the difference in orientation between the body segment and the reference line, while the segment refers to a specific part of the body, such as an arm or leg. The reference line serves as a fixed point for comparison, allowing you to determine the position or orientation of the body segment in relation to it.
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the table show the lenght of coastline for the 13 states a long at atlantic cost
The arrival time will be 1:45 pm (13:45) on the day after the departure day.
To see why, we can add the travel time of 25 hours and 25 minutes to the departure time of 12:20 pm.
First, we convert 25 minutes to hours by dividing by 60:
25 minutes ÷ 60 minutes/hour = 0.42 hours
Then, we add the 25 hours and 0.42 hours to the departure time:
12:20 pm + 25 hours + 0.42 hours = 1:45 pm
So the train will arrive in Alice Springs at 1:45 pm on the day after it departs from Adelaide.
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what type of data should be collected to compare the likelihoods of two candidates winning their elections when the candidates are running in different elections?
To compare the likelihoods of two candidates winning their elections when they are running in different elections, it is important to collect relevant data such as historical voting patterns, demographic information, campaign funding, candidate popularity, and election-specific factors.
1. This data will allow for a comprehensive analysis that considers various factors influencing the outcomes of elections and enables a fair comparison between the candidates.
2. When comparing the likelihoods of two candidates winning their elections in different contexts, several types of data should be collected and analyzed. Firstly, historical voting patterns and trends in the respective regions where the elections are taking place are essential. This data can provide insights into the voting behavior of the electorate and help identify any consistent patterns or shifts in support for particular candidates or parties.
3. Demographic information is another crucial factor. Understanding the composition of the electorate in terms of age, gender, ethnicity, socioeconomic status, and other relevant factors can provide valuable insights into the candidate's potential support base and help gauge the likelihood of their success.
4. Campaign funding is an important indicator of a candidate's resources and support. Analyzing the financial contributions and expenditures of each candidate can provide insights into their campaign strategies, level of organization, and potential impact on the electorate.
5. Candidate popularity and public opinion data are also crucial. Collecting and analyzing polling data, surveys, and public sentiment from reputable sources can help assess the candidates' popularity, public perception, and the overall sentiment towards their campaigns.
6. Lastly, it is important to consider election-specific factors. Each election may have unique circumstances such as political climate, incumbent advantage, key issues, or local dynamics that can significantly influence the outcome. Gathering information on these specific factors and their potential impact on the candidates' chances of winning is important for a comprehensive analysis.
7. By collecting and analyzing this diverse range of data, one can make a more informed comparison of the likelihoods of two candidates winning their elections, even when they are running in different contexts. It is important to note that while data analysis provides valuable insights, election outcomes can still be influenced by unforeseen events, changing circumstances, and individual voter decisions.
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5. Show that the functions y=2*+³ and y=8•2* are equivalent using the laws of exponents.
The functions y = 8•2ˣ and y = 8•2ˣ are equivalent using the laws of exponents
Showing that the functions are equivalent using the laws of exponents.From the question, we have the following parameters that can be used in our computation:
y=2*+³ and y=8•2*
Express properly
So, we have
y = 2ˣ ⁺ ³ and y=8•2ˣ
When the first function expression is expanded, we have
y = 2ˣ * 2³ and y=8•2ˣ
Evaluate the exponent
y = 2ˣ * 8 and y=8•2ˣ
So, we have
y = 8•2ˣ and y = 8•2ˣ
hence, the functions are equivalent using the laws of exponents
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help need this asap!
The surface area of the sphere is 1133.54cm² and sinθ = 5/13, cosθ = 12/13 and tan θ = 5/12 respectively.
What is the surface area of a sphere?The surface area of a sphere is defined as the region covered by its outer surface in three-dimensional space. A Sphere is a three-dimensional solid having a round shape, just like a circle. The formula of total surface area of a sphere in terms of pi (π) is given by:
S.A = 4πr²
In the given question;
diameter = 19cmradius = ?radius = diameter / 2
radius = 19 / 2
radius = 9.5cm
The surface area = 4 * 3.14 * 9.5²
S.A = 1133.54cm²
17.
To find the value of sinθ, cosθ and tanθ, we need to apply trigonometric ratio;
sinθ = opposite / hypothenuse
hypothenuse = ?
Using Pythagorean theorem;
x² = 5² + 12²
x = 13
sinθ = 5/13
cosθ = 12/13
tan θ = 5/12
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sections of picket fence come ready-made and cost $2.89 for a 27-inches section. how much would it cost to put a fence along the borders of a flower patch shaped like the drawing below?
The cost to put a fence along the borders of the flower patch is $19.27
Calculating the cost to put a fence along the borders of the flower patchFrom the question, we have the following parameters that can be used in our computation:
Cost = $2.89 for a 27-inches section
Next, we calculate the perimeter of the patch by adding the side lengths
So, we have
Perimeter = 2 ft 3 in + 2 ft + 2 yd + 25 in + 3 ft 5 in
Evaluate
Perimeter = 15 feet 9 inches
Convert to inches
Perimeter = 180 inches + 9 inches
So, we have
Perimeter = 189 inches
Next, we have
Cost = 180 * 2.89/27
Evaluate
Cost = $19.27
Hence, the cost is $19.27
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Which two choices are equivalent to the fraction below?
The equivalent fraction is 2/3. Option C
What are fractions?Fractions are simply described as expressions that are used for representing the part of a whole variable, a whole number or a whole element.
There are different types of fractions listed as;
Simple fractionsComplex fractionsProper fractionsImproper fractionsMixed fractionsExamples of these fractions are;
Mixed fractions are written as whole numbers attached to fractions, mostly proper fractions
2 1/3
Proper fractions are given as 2/3
Improper fractions are given as 4/3 , 5/6
From the information given, we have that;
4/6
Divide by a common value
2/3
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A floor has a shape of a trapezium Gary is going to paint the floor each 5 litre tin of paint cost 21.99 1 litre of paint covers an area of 2.5m
Answer:
Step-by-step explanation:
step 1 : finding the area of a floor using trapezius area formula
A= [tex]\frac{(10+14)*6}{2} = \frac{24*6}{2} =72 m^{2} \\[/tex]
step 2 : the problem said 1 litre of paint convers an area of 2.5 m^2, so let's calculate how many liters of paint are needed to paint the floor
[tex]\frac{72 m^2}{2.5 m^2} = 28.8 litre\\[/tex]
so we need 28.8 litre to paint the floor
step 3 : Each tin is 5 litre of paint so let's calculate how many tins do we need
n=[tex]\frac{28.8}{5} = 5.76 \\[/tex]
we can't by 5.76 tins so it's 6 tins
step 4 : Each tin costs 21.99 and now we calculate how much 6 tins cost for us
cost = 6 × 21.99 = 131.94
step 5 : Gary has a budget of 150 and the total cost is 131.94. So, Gary has enough money to buy all the paint he needs.
an algorithm is a calculation that determines how long it will take to solve a problem.True/False
False, An algorithm is a step-by-step procedure or set of instructions for solving a problem or performing a specific task.
It is not limited to calculating the time it takes to solve a problem, but rather it provides a systematic approach to reach the desired solution. Algorithms can be designed to solve a wide range of problems, from simple mathematical calculations to complex computer programming tasks.
Their efficiency can be measured in terms of time and space complexity, which helps in determining the performance of the algorithm. However, the primary purpose of an logarithmic is to provide a clear and effective method for solving problems, not merely calculating the time it takes to solve them.
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I bought 3 books for $x each and 4 magazines for $y each, how much did I spend?
Solve for x round all answers to the nearest tenth
Answer: 4.5
Step-by-step explanation: We can find the answer to this using toa (Tanjent). We’d start with tan(75)= 17/x. From here we’d multiply both sides by x to get xtan(75) = 17. Now we’d just have to divide both sides by tan(75) to get 4.5.
Need help solving this please
The average rate of change in the time it takes sound to travel 1 kilometer is 2.995 seconds.
Given that, the time t(in seconds) it takes for sound to travel 1 kilometer can be modeled by t=1000/(0.6T+331), where T is the air temperature (in degree Celsius)
1) Given that, you hear the thunder 2.9 seconds later.
Here, 2.9=1000/(0.6T+331)
2.9(0.6T+331)=1000
1.74T+959.9=1000
1.74T=1000-959.9
1.74T=40.1
T=40.1/1.74
T=23.045° Celsius
2) Here, T=0° Celsius and T=10° Celsius
2.9=1000/(0.6T+331)
t=1000/(0.6×0+331)
t=1000/331
t=3.02 seconds
Where, T=10
t=1000/(0.6×10+331)
t=1000/337
t=2.97
So, average time = (3.02+2.97)/2
= 2.995 seconds
Therefore, the average rate of change in the time it takes sound to travel 1 kilometer is 2.995 seconds.
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A pitcher of juice is half empty. After 1/2 cup of juice is added, the pitcher is full. How much juice does the pitcher hold when its full?
There seems to be an error in the problem statement or some information is missing.
Let's represent the amount of juice the pitcher holds when it's full by x.
According to the problem, the pitcher is initially half empty, which means it is filled with x/2 amount of juice.
After 1/2 cup of juice is added, the pitcher becomes full, which means it is now filled with x amount of juice.
So, the amount of juice added to the pitcher is (x - x/2) + 1/2 = x/2 + 1/2.
Since this amount is equal to 1/2, we can write the equation:
x/2 + 1/2 = 1/2
Solving for x, we get:
x/2 = 0
Multiplying both sides by 2, we get:
x = 0
This means that the pitcher does not hold any juice when it's full, which is not a valid answer.
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Which set of side lengths can be used to construct a triangle?
OPTIONS
3, 4, 9
3, 5, 7
3, 5, 8
2, 6, 8
The value of set of side lengths can be used to construct a triangle are,
⇒ 3, 5, 7
We have to given that;
To find the set of side lengths can be used to construct a triangle.
Now, We know that;
The sum of two side of a triangle is always greater than third side.
Hence, We can check all options as;
⇒ 3, 4, 9
Since, 3 + 4 = 7 < 9
Hence, It does not form a triangle.
⇒ 3, 5, 7
Since, 3 + 5 = 8 > 7
Hence, It form a triangle.
⇒ 3,5, 8
Since, 3 + 5 = 8 = 8
Hence, It does not form a triangle.
⇒ 2, 6, 8
Since, 2 + 6 = 8 = 8
Hence, It does not form a triangle.
Thus, The value of set of side lengths can be used to construct a triangle are,
⇒ 3, 5, 7
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Find a Cartesian equation for the curve and identify it.
r = 4csc(θ)
circle line parabola ellipse
The Cartesian equation for the curve r = 4csc(θ) is (x^2 + y^2) * y = 4, and it represents a semi-cubical parabola.
To find a Cartesian equation for the curve r = 4csc(θ) and identify it, we can follow these steps:
Step 1: Rewrite the equation using the definition of cosecant
Cosecant (csc) is the reciprocal of sine, so we can rewrite the equation as:
r = 4/sin(θ)
Step 2: Express r and θ in Cartesian coordinates
We know that r^2 = x^2 + y^2 and y = r * sin(θ). We can use these relationships to replace r and θ with x and y in our equation. First, we solve for sin(θ):
sin(θ) = y / r
Step 3: Substitute sin(θ) and r in the equation
Now, replace sin(θ) and r in the original equation:
r = 4/(y/r)
Step 4: Simplify and solve for y
To get a Cartesian equation, multiply both sides by y:
r * y = 4
Since y = r * sin(θ), we can replace y with r * sin(θ):
r * (r * sin(θ)) = 4
Step 5: Replace r with x^2 + y^2
Since r^2 = x^2 + y^2, we can replace r in the equation:
(x^2 + y^2) * (y) = 4
Step 6: Identify the curve
This equation represents a curve in the Cartesian plane. By analyzing the equation, we can see that it's a semi-cubical parabola.
In conclusion, the Cartesian equation for the curve r = 4csc(θ) is (x^2 + y^2) * y = 4, and it represents a semi-cubical parabola.
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using the substitution u(x) = y + x, solve the differential equation dy dx = (y + x) 2 .
cut out your net. fold along the lines. tape the edges together to form a solid. how many faces meet at each vertex?
In a net of a solid, the number of faces meeting at each vertex can be determined by examining the net and counting the number of lines that meet at each vertex. Each line corresponds to an edge of a face, so the number of lines meeting at a vertex is equal to the number of faces meeting at that vertex.
For example, if we consider a cube net, we can see that three faces meet at each vertex. Therefore, a cube has three faces meeting at each vertex.
Similarly, for other solids, we can count the number of faces meeting at each vertex by examining the net. For example, for a regular tetrahedron, four faces meet at each vertex; for a regular octahedron, four faces meet at each vertex; for a regular dodecahedron, three faces meet at each vertex; and for a regular icosahedron, five faces meet at each vertex.
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Question 4 of 10
What is the quotient of the following division problem?
18615489 = ?
A. 38 r33
B. 39 r32
C. 38 r34
D. 37 r33
Answer:
Step-by-step explanation:
b
