Answers
Answer:
2x+2y+2z+10 Hopes this helps :)
Related Questions
find the coordinate matrix of x relative to the orthonormal basis b in rn. x = (5, 20, 10), b = 3 5 , 4 5 , 0 , − 4 5 , 3 5 , 0 , (0, 0, 1)
Answers
The coordinate matrix of x relative to the orthonormal basis b is then: [x]b = [19, -9, 10]
To get the coordinate matrix of x relative to the orthonormal basis b in Rn, we need to express x as a linear combination of the basis vectors in b. We can do this by using the formula: x = [x · b1]b1 + [x · b2]b2 + [x · b3]b3
where · denotes the dot product and b1, b2, and b3 are the orthonormal basis vectors in b.
First, we need to normalize the basis vectors:
|b1| = √(3^2 + 4^2) = 5
b1 = (3/5, 4/5, 0)
|b2| = √(4^2 + 3^2) = 5
b2 = (-4/5, 3/5, 0)
|b3| = 1
b3 = (0, 0, 1)
Next, we compute the dot products:
x · b1 = (5, 20, 10) · (3/5, 4/5, 0) = 19
x · b2 = (5, 20, 10) · (-4/5, 3/5, 0) = -9
x · b3 = (5, 20, 10) · (0, 0, 1) = 10
Using these values, we can express x as a linear combination of the basis vectors:
x = 19b1 - 9b2 + 10b3
The coordinate matrix of x relative to the orthonormal basis b is then:
[x]b = [19, -9, 10]
Note that this matrix is a column vector since x is a column vector.
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If f(x) i increaing on an interval containing x1 and x2 where x1 i greater than x2, then it follow that
Answers
If f(x) is increasing on an interval containing x1 and x2 where x1 is greater than x2, then it follows that f(x1) is greater than f(x2).
This is because an increasing function means that the output values of the function, f(x), are increasing as the input values, x, increase. So, if x1 is greater than x2, then f(x1) will be greater than f(x2) since f(x) is increasing.
A function is said to be increasing if, for any two input values x1 and x2 in the domain of the function, if x1 is less than x2, then the output value of the function at x1 is less than the output value of the function at x2. In other words, if x1 is less than x2, then f(x1) < f(x2).
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Simplify completely:
√320x2y³
Answers
simplify the radical by breaking the radicand up into a product of known factors,assuming positive real numbers.
Sorrry i cant write answer is that form but
the answer is 8 then square root of 5x rais to power 2 then write y raise to power3.
In 2003 Exxon Mobil received a contract from the government worth $756,733 while Aerospace received a contract from the government worth $539,517. What was the combined total of their contracts?
Answers
The combined total of their contracts is $1,296,250
How to determine the combined total?The values of the contracts are given as:
Exxon Mobil= $756,733Aerospace = $539,517The combined total is represented as:
Total = Exxon Mobil + Aerospace
Substitute known values
Total = $756,733 + $539,517
Evaluate the sum
Total = $1,296,250
Hence, the combined total of their contracts is $1,296,250
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If a and b are positive real numbers and b is not equal to 1, how does the graph of f(x) = ab^x change when b is changed?
Answers
When a is held constant, changing b will cause the graph to either stretch or compress horizontally, depending on whether b is greater than or less than 1.
If b is greater than 1, the function will grow faster as x increases, causing the graph to stretch horizontally. The larger the value of b, the faster the function will grow. For example, consider the following graphs of the function f(x) = 2(1.5)^x and f(x) = 2(2)^x:
Graph of f(x) = 2(1.5)^x and f(x) = 2(2)^x
As we can see, the graph of f(x) = 2(2)^x grows faster than the graph of f(x) = 2(1.5)^x, causing it to stretch more horizontally.
On the other hand, if b is less than 1, the function will grow slower as x increases, causing the graph to compress horizontally. The smaller the value of b, the slower the function will grow. For example, consider the following graphs of the function f(x) = 2(0.5)^x and f(x) = 2(0.2)^x:
Graph of f(x) = 2(0.5)^x and f(x) = 2(0.2)^x
As we can see, the graph of f(x) = 2(0.2)^x compresses more horizontally than the graph of f(x) = 2(0.5)^x.
In summary, changing the value of b in the function f(x) = ab^x will cause the graph to stretch or compress horizontally, depending on whether b is greater than or less than 1. If b is greater than 1, the graph will stretch horizontally and if b is less than 1, the graph will compress horizontally.
a sphere of radius r inches is sliced by a plane that is d inches from the center. in terms of r and d, what is the radius of the circle of intersection?
Answers
The cross-sectional area will be π*(y^2-x^2) as area of a circle with radius r is π*r^2.
What is equations?There are many different ways to define an equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1.This is a second-order equation. In quadratic equations, at least one of the variables should be raised to exponent 2.Hence, The cross-sectional area will be π*(y^2-x^2) as area of a circle with radius r is π*r^2.
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Enlarge triangle a by a scale factor of 1/2 from a centre of enlargement (10,2)
Answers
The new triangle will we get by a scale factor of 1/2 from a centre of enlargement (10,2)
To enlarge a triangle by a scale factor of 1/2 from a center of enlargement,
Plot the coordinates of the triangle on a graph.
Draw a line from each vertex of the triangle to the center of enlargement.
Measure the length of each line and multiply it by the scale factor of 1/2.
Using the same angle as the original line, draw a new line from each vertex that is the length determined in step 3.
The new vertices of the triangle are where these new lines intersect.
Hence, the new triangle will we get by a scale factor of 1/2 from a centre of enlargement (10,2)
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Suppose f(2) is analytic in a deleted neighborhood of infinity (cf: Sec. 2.44) , with Laurent expansion of the form f(z) =...c/z+..._c-1/z+co+c1z+......+cnz^n..... (R Then the point morc exactly A removable singular point if the serics (39) contains no positive powers of 2; A pole of order m if (39) contains only & finite number of positive powers of 2, the highest positive power being An essential singular point if (39) contains infinitely many positive powers of z.
Answers
Based on the given information, we can conclude that f(2) is an analytic function in a deleted neighborhood of infinity. This means that f(z) has a Laurent expansion in the form of
\(f(z) = ..._c-2/z^2 + _c-1/z + c0 + c1z + ... + cnz^n + ...,\)
where the coefficients
\(_c-2, _c-1, c0, c1, ...,\)
cn are constants.
The point morc is a singular point of f(z) that can be either removable, a pole of order m, or an essential singular point. The type of singular point depends on the behavior of the Laurent expansion of f(z).
If the Laurent expansion of f(z) contains no positive powers of z, then the point morc is a removable singular point. This means that the singularity can be "filled in" or removed, and the function can be defined at that point.
If the Laurent expansion of f(z) contains only a finite number of positive powers of z, with the highest positive power being m, then the point morc is a pole of order m. This means that the singularity is a simple pole, double pole, triple pole, or higher order pole, depending on the value of m.
If the Laurent expansion of f(z) contains infinitely many positive powers of z, then the point morc is an essential singular point. This means that the singularity cannot be removed or "filled in", and the behavior of the function at that point is very complex.
In summary, the type of singular point at the point morc depends on the behavior of the Laurent expansion of f(z) at that point.
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You are draining your fish
aquarium. After 2 min. there are
6 gallons of water in the
aquarium. After 10 min the
aquarium is empty. Type an
equations that represents the
volume y of water in the
aquarium after x minutes.
uarium
Answers
Answer:
y=-3/4x+15/2
Step-by-step explanation:
help asap if you can pls an thank u!!!!!!!
Answers
The value of angle S is 53°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.
With this theorem we can say that
7x+2 = 4x+13+19
collecting like terms
7x -4x = 13+19-2
3x = 30
divide both sides by 3
x = 30/3
x = 10
Since x = 10
angle S = 4x+13
angle S = 4(10) +13
= 40+13
= 53°
Therefore the measure of angle S is 53°
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Select the expression that is equivalent to 2(x-3)^2
Answers
Answer:
the given expression is equivalent to
Step-by-step explanation:
\(2(x - 3) {}^{2} \\ 2( {x}^{2} - 2.x.3 + {3}^{2} ) \\ using \: formula \: (x - y) {}^{2} = x {}^{2} - 2.x.y + y {}^{2} \\ 2(x {}^{2} - 6x + 3) \\ 2 {x}^{2} - 12x + 6\)
Determine the equation of the tangent plane and normal line of
the curve f(x,y,z)=x2+y2-2xy-x+3y-z-4 at p(2,
-3, 18)
Answers
To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.
Taking the partial derivatives with respect to x, y, and z, we have:
fx = 2x - 2y - 1
fy = -2x + 2y + 3
fz = -1
Evaluating these partial derivatives at the point P(2, -3, 18), we find:
fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9
fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7
fz(2, -3, 18) = -1
The equation of the tangent plane at P is given by:
9(x - 2) - 7(y + 3) - 1(z - 18) = 0
Simplifying the equation, we get:
9x - 7y - z - 3 = 0
To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:
x = 2 + 9t
y = -3 - 7t
z = 18 - t
where t is a parameter representing the distance along the normal line from the point P.
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when an arch is extended overhead into a half cylinder it is known as a
Answers
When an arch is extended overhead into a half cylinder, it is known as a barrel vault.
A barrel vault is a curved architectural structure that resembles the shape of a half-cylinder. It is created by placing a series of arches side by side, forming a continuous and uninterrupted vaulted ceiling. The term "barrel" refers to the resemblance of the vault to the shape of a barrel or a tunnel.
Barrel vaults have been used in architecture for centuries and are often found in historical buildings and structures. They provide a sturdy and durable construction method, distributing the weight of the ceiling evenly along the arches. This allows for the creation of large and open interior spaces without the need for additional support columns.
Barrel vaults are commonly used in churches, cathedrals, and other monumental structures, where they serve both functional and aesthetic purposes. The sweeping and graceful curves of the barrel vaults add a sense of grandeur and elegance to architectural designs, making them a popular choice in various architectural styles throughout history.
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(3x − 3)(8x + 1) horizontal form
Answers
Answer:
24x² - 21x - 3
Step-by-step explanation:
(3x - 3)(8x + 1)
= 3x (8x + 1) - 3 (8x + 1)
= 3x (8x) + 3x (1) - 3 (8x) - 3(1)
= 24x² + 3x - 24x - 3
= 24x² - 21x - 3
Exercise 10
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability of the compound event? Write your answer as a fraction or percent rounded to the nearest tenth.
Answers
The probability of choosing a 5 and then a 6 is 1/49
Finding the probability of the compound eventFrom the question, we have the following parameters that can be used in our computation:
The tiles
Where we have
Total = 7
The probability of choosing a 5 and then a 6 is
P = P(5) * P(6)
So, we have
P = 1/7 * 1/7
Evaluate
P = 1/49
Hence, the probability of choosing a 5 and then a 6 is 1/49
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Question
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6
How many 1/9s are in 30?
Answers
Answer:
3,34
Step-by-step explanation:
mark me please thanks
Change the following mixed numbers into improper fractions:
a) 4⅔
b)3 3/5
Answers
Answer:
For A the answer is 14/3
For B the answer is 18/5
Step-by-step explanation:
You mulitply the denomater by the whole number then add the numerater.
Plz hel p me my class is counting on me(you)
Answers
Answer:
The correct answer is D because for example...
Step-by-step explanation:
If b squared minus 4ac is non-negative, so at 0 or greater, we have at least one real solution. If it's less than 0, if it's negative, we have no real solutions!
Hope I was able to help, and I hope you Have a good day! :)
Please explain in detail the utilization of Thematic Analysis in
a Qualitative Descriptive Study Design.
Answers
Thematic Analysis is a process that is used to analyze the text in research in qualitative research. It aims to find the patterns in the data by examining the contents of the text.
In the Qualitative Descriptive Study Design, thematic analysis is utilized to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data. It helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.
Thematic Analysis is used in Qualitative Descriptive Study Design to provide an in-depth understanding of the research topic. It allows the researcher to capture and analyze the rich and diverse experiences of the participants in the study. In this method, data is collected from the participants, and the researcher analyzes the data by identifying the common themes and patterns that emerge from the data. This process of analysis is done in a systematic and iterative manner until the researcher identifies all the themes that are relevant to the research question.
Thematic analysis is useful in qualitative research because it allows the researcher to identify the themes and patterns in the data that are not explicitly stated by the participants. It helps to identify the underlying meanings of the data and to develop a deeper understanding of the research topic. This method is particularly useful when the researcher is dealing with large volumes of data and wants to identify the key themes and patterns that emerge from the data.
In conclusion, Thematic Analysis is a useful method of analysis in Qualitative Descriptive Study Design. It is used to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data and helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.
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answer PLEASE????? thanks
Answers
Answer:
2 4/5
Step-by-step explanation:
2/5 x 2 = 4/5 + 2 = 2 4/5
_______________
Hope this helps :)
Given the following LP model, which is the correct standard form? Max(Z)=2X1+X2 Restrictions / Constrains 11×1+3×2≥33
8×1+5×2≤40
7×1+10×2≤70
7×1+10×2≤70 X1,X2≥0 Use this problem's information to answer questions 19 to 21. a. Max(Z)=3×1+2X2
11×1+3×2−51≤33
8×1+5×2+52≥40
7×1+10×2+53≥70
b. Max(Z)=3×1+2×2 11×1+3×2+51=33 8×1+5×2−52=40 7×1+10×2−53=70
c. Max(Z)=3×1+2×2 11×1+3×2−51=33 8×1+5×2+52=40 7×1+10×2+53=70
d. Max(Z)=3×1+2×2 11X1+3×2+$1=33 8×1+5×2+52=40 7×1+10×2+53=70
Answers
The correct standard form for the given LP model is option C: Max(Z) = 3x1 + 2x2, subject to the constraints 11x1 + 3x2 - 5 <= 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70, with x1, x2 >= 0. This option aligns with the original objective function and constraints of the LP model.
To convert the LP model into standard form, we need to rewrite the constraints with the variables on the left-hand side and constants on the right-hand side, with inequality signs (<= or >=) consistent throughout. Additionally, we introduce slack or surplus variables to transform any non-standard constraints.
In option C, the constraints are correctly transformed as 11x1 + 3x2 - 5 = 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70. These constraints are consistent with the original model. The objective function remains the same, Max(Z) = 3x1 + 2x2.
Option A has incorrect signs in the transformed constraints, and option B introduces surplus variables (+5) instead of slack variables (-5), resulting in an incorrect standard form. Option D includes a non-standard term with a dollar sign, which is inconsistent with linear programming conventions.
Therefore, option C is the correct standard form, adhering to the original LP model's objective function and constraints.
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Consider a standard normal random variable z. What is the value of z if the area to the right of z is 0.3336? Multiple Choice 0.43 0.52 O o 0.35 1.06 O
Answers
Looking up the value of 0.3336 in a standard normal distribution table, we find that the corresponding z-value is approximately 0.44.
Therefore, the answer is 0.43 (closest option).
Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.
Consider a standard normal random variable z. If the area to the right of z is 0.3336, the value of z can be found using the standard normal distribution table. The standard normal distribution table gives the area to the left of a given z-score. Since we are given the area to the right of z, we subtract 0.3336 from 1 to get the area to the left of z. This gives us an area of 0.6664 to the left of z on the standard normal distribution table. The closest value of z that corresponds to this area is 0.43. Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43. The value of z, when the area to the right of z is 0.3336, is approximately 0.43.
Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.
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6. Write an inequality that is represented by the graph. (A.REI.D.12)
8
6
4
2
0
-8
-6
24
2
6
-2
-2.
4
16
Answers
Answer:
sdsdsddssssssssssssssssssssss
Step-by-step explanation:
sddsdssdsdds
Alex has 10 different kinds of lunch meat and 9 different kinds of cheese. If he wants to make a sandwich with one kind of meat and two kinds of cheese, how many different sandwiches could he make
Answers
Alex can make a total of 180 different sandwiches by choosing one kind of meat from 10 options and two kinds of cheese from 9 options.
To determine the number of different sandwiches Alex can make, we need to consider the combinations of meat and cheese. Since Alex can choose one kind of meat from 10 options, there are 10 choices for the meat component of the sandwich. For the cheese component, Alex can choose two kinds of cheese from 9 options.
To calculate the total number of combinations, we can use the formula for combinations without repetition. The formula is nCr = n! / (r!(n-r)!), where n is the total number of options and r is the number of choices. In this case, n is 9 (number of cheese options) and r is 2 (number of cheese choices). Thus, the number of combinations of two kinds of cheese is \(9C2\)= 9! / (2!(9-2)!) = 36.
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Mary and Kate picked up a map
of the zoo at the main entrance. The actual distance between the
entry point and the Avian Center was 23 miles. The distance on the map was 9. 2 inches. Determine
the scale factor that was used to design the map.
Answers
In order to determine the scale factor that was used to design the map, we have to use the given information. We are given that the actual distance between the entry point and the Avian Center was 23 miles and the distance on the map was 9.2 inches.
So, we know that 23 miles on the ground is equivalent to 9.2 inches on the map.Now, we can set up a proportion to solve for the scale factor. The proportion would be:Scale factor = Actual distance on the ground / Distance on the mapScale factor = 23 miles / 9.2 inchesNow, we can convert the units so that they are the same:
Scale factor = 23 miles / 9.2 inches × 63360 inches/mileScale factor = 23 × 63360 / 9.2Scale factor = 158,208 / 9.2Scale factor ≈ 17,152.1739So, the scale factor that was used to design the map is approximately 17,152.1739.
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Alfred buys a car for £13960 which depreciates in value at a rate of 0.75% per year.
Work out how much Alfred's car will be worth in 12 years.
Answers
Answer:
£12063.57
Step-by-step explanation:
The value of Alfred’s car after 12 years can be calculated using the formula for exponential decay: Final Value = Initial Value * (1 - rate of depreciation)^(number of years). Plugging in the values we get: Final Value = 13960 * (1 - 0.0075)^12. Therefore, after 12 years, Alfred’s car will be worth approximately £12063.57.
You can save $45 at Kohl's if you use a coupon for 15% off. What would your total be before using the coupon?
Answers
Answer:
$300
Step-by-step explanation:
15% / 3 = 5%
45 / 3 = $15
5% * 2 = 10%
15 * 2 = $30
10% * 10 = 100%
30 * 10 = $300
300 x 0.85 (-15%)
255
255 + 45 = 300
Answer:
$300
Step-by-step explanation:
Since you save $45 by using a coupon for 15% off, that means that 15% of the original price is $45.
We can use a proportion.
15% is to 45 as 100% is to x.
15/45 = 100/x
1/3 = 100/x
1 × x = 3 × 100
x = 300
Answer: The total without the coupon is $300.
Lindsey has two sisters. The sum of the girls' ages is 13. The product of their ages is 36. How old is each sister?
Answers
Answer:
The product of their ages is 36
The sum of the girls age is 13
two sister=?
13 by 36
26
x=13-y — (1)
xy=36 — (2)
Sub (1) into (2)
y(13-y)=36
y^2-13y+36=0
y=9 or 4 (quadratic formula)
Sub y=9,
x=4
Sub y=4,
x=9
9|4/3x-2| + 7 = 7
Please help!
Answers
Answer:
x = 3/2Step-by-step explanation:
Given the expression
9|4/3x-2| + 7 = 7
First note that the value in parenthesis can both be negative and positive;
For the positive value, we have;
9(4/3x-2) + 7 = 7
Subtract 7 from both sides
9(4/3x-2) + 7 - 7 = 7 - 7
9(4/3x-2) = 0
Open the parenthesis
9(4/3x) - 9(2) = 0
36/3 x - 18 = 0
12x - 18 = 0
Add 18 to both sides
12x -18+18 = 0+18
12x = 18
x = 18/12
x = 3/2
Hence the value of x is 3/2
Suppose that a simple random sample of n = 6 individuals is obtained from a population that is skewed right with mean = 39 and standard deviation o = 2
-
(a) The shape of the sampling distribution of the sample mean is approximately normal Is this true or false?
(b) What is the mean of the sampling distribution of the sample mean?
(c) What is the standard deviation of the sampling distribution of the sample mean?
Answers
The shape is not normal since the sample size (6) is less than 30.
The mean and standard deviation of the sample distribution is 39, and 0.82 repectively
What is a normal distribution?The normal distribution is a distribution that is symmetric about the mean and has a bell shaped curve.
Given that
n = 6, mean = 39 and standard deviation o = 2.
Hence:
The shape is not normal since the sample size (6) is less than 30.
The mean of the sample distribution = 39, the standard deviation of the sample distribution = 2/√6 = 0.82
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