True or false: If {v1, v2, v3} is an orthonormal basis for W, then multiplying v3 by a scalar c gives a new orthonormal basis {v1, v2, cv3}.
Answers
If {v1, v2, v3} is an orthonormal basis for a subspace W of a vector space V, then multiplying v3 by a non-zero scalar c does not necessarily give a new orthonormal basis for W.
To see why, consider the dot product of cv3 with itself. If v3 is an orthonormal vector, then its norm is 1, so the dot product of cv3 with itself is (cv3) • (cv3) = c^2(v3 • v3) = c^2(1) = c^2. Thus, cv3 has a norm of |c|, rather than 1, and so it cannot be an element of an orthonormal basis for W.
However, multiplying v3 by a scalar does give a new basis for W. Specifically, {v1, v2, cv3} is a basis for W if c is non-zero, since v1 and v2 are orthogonal to cv3, and any vector in W can be written as a linear combination of these three vectors. But this new basis is not orthonormal, since cv3 has a norm of |c|. To obtain an orthonormal basis from this new basis, we can normalize each vector in the basis by dividing it by its norm.
Visit to know more about Orthonormal basis:-
brainly.com/question/30218994
#SPJ11
Related Questions
X
Estimate the solution to the system of equations graphed on the grid:
-10-9-3-7-5-5--3-
10
8
6
-10
4 5 6 7 8 9 10
A (1.5, 4.2)
B (-4.1,-1.5)
C (-1.6, 1.4)
D (1.4,-2.1)
Answers
The solution is
y=x+4
y=-2x-4
Slope of a Line :
The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's slope in mathematics.
Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate.
As a result, the formula for the change in y-coordinate with respect to the change in x-coordinate is m = change in y/change in x = y/x.
where the slope of a line is denoted by "m".
The graph of the equation y = mx + c has a slope of m, an intercept of m, and a y-intercept of c. In the slope-intercept version of the linear equation, m and c are real integer values.
To learn more about slope of a line visit: https://brainly.com/question/16180119
#SPJ9
xy subject to the constraintx+y=80 Of all numbers that add to 80, find the pair that has the maximum product. That is, maximize the objective function Q The values of x and y that have the maximum product are x and y= (Type integers or simplified fractions.) The maximum product of x and y is Q= (Type an integer or a simplified fraction.)
Answers
The values of x and y that have the maximum product are x = 40 and y = 40. The maximum product of x and y is Q = 40 * 40 = 1600.
To solve this problem, we need to use the method of Lagrange multipliers, which involves finding the maximum or minimum of a function subject to a constraint. In this case, our function is Q = xy (the product of x and y), and our constraint is x + y = 80.
We start by setting up the Lagrangian function:
L(x,y,λ) = xy + λ(x+y-80)
where λ is the Lagrange multiplier. We then take partial derivatives of L with respect to x, y, and λ, and set them equal to zero:
∂L/∂x = y + λ = 0
∂L/∂y = x + λ = 0
∂L/∂λ = x + y - 80 = 0
Solving these equations simultaneously, we get:
x = y = 40
λ = -40
So the values of x and y that maximize the product are both 40 (integers), and the maximum product is:
Q = xy = 40*40 = 1600.
To maximize the objective function Q = xy subject to the constraint x + y = 80, follow these steps:
1. Rewrite the constraint equation to isolate one variable, for example, y: y = 80 - x.
2. Substitute this expression for y in the objective function: Q = x(80 - x).
3. Expand the equation: Q = 80x - x^2.
4. To find the maximum value of Q, take the first derivative of Q with respect to x: dQ/dx = 80 - 2x.
5. Set the first derivative equal to zero to find the critical points: 80 - 2x = 0.
6. Solve for x: x = 40.
7. Substitute the value of x back into the constraint equation to find the corresponding value for y: y = 80 - 40 = 40.
Learn more about Lagrange multiplier at: brainly.com/question/30889108
#SPJ11
Question 13 In the equation ONp/ot = -rpP+ OPN, what does-rpP+ OPN describe?
Answers
in the equation ONp/ot = -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction, considering both the decrease of reactant concentration and the increase of product concentration.
In the equation ONp/ot = -rpP + OPN, the term -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction with respect to time. Here's a step-by-step explanation:
ONp/ot represents the rate of change of the concentration of a substance N with respect to time (t). This is often used to describe the rate at which a chemical reaction proceeds.
-rpP is the rate of decrease of the concentration of a reactant (P) due to the reaction. The negative sign indicates that the concentration of the reactant is decreasing over time.
OPN is the rate of increase of the concentration of a product (N) due to the reaction. The positive sign indicates that the concentration of the product is increasing over time.
The equation ONp/ot = -rpP + OPN connects these two terms, stating that the rate of change of the concentration of substance N with respect to time is equal to the rate of decrease of reactant P plus the rate of increase of product N.
5. The term -rpP + OPN describes the balance between the decrease of reactant concentration and the increase of product concentration in the chemical reaction. This balance is important in understanding the reaction kinetics and determining the rate at which a reaction occurs.
In summary, -rpP + OPN in the equation ONp/ot = -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction, considering both the decrease of reactant concentration and the increase of product concentration.
for more questions on concentration
https://brainly.com/question/14469428
#SPJ11
4) Answer ALL parts of the question. Show your calculations. To make a profit on a given day a car dealership needs to sell at least 4 cars. From experience they know that 70% of those who enter the dealership on a Friday will buy a car. Assume that there is sampling with replacement (so when a car is sold it is replaced), that each car is identical, and that all trials are independent and have the same probability of success. a. Under what conditions can you estimate the Hypergeometric Distribution with the Binomial Distribution? 5 marks b. If 4 customers enter the dealership on Friday, what is the probability that the dealership will make a profit? 7 Marks
Answers
The probability that the dealership will make a profit if 4 customers enter on Friday is approximately 24.01%.
a. You can estimate the Hypergeometric Distribution with the Binomial Distribution under the following conditions:
1. The sample size (n) is relatively small compared to the population size (N).
2. The probabilities of success (p) and failure (q) remain approximately constant throughout the sampling process.
In this case, since we're assuming sampling with replacement, identical cars, and independent trials with constant probability, it's appropriate to use the Binomial Distribution.
b. To calculate the probability that the dealership will make a profit if 4 customers enter on Friday, we can use the Binomial Distribution formula:
P(X = k) = (nCk) * (p^k) * (q^(n-k))
Where:
- P(X = k) is the probability of exactly k successes (cars sold)
- nCk is the number of combinations of n items taken k at a time
- p is the probability of success (car sold)
- q is the probability of failure (car not sold)
- n is the number of trials (customers)
- k is the number of successes (cars sold)
Here, n = 4, p = 0.70, and q = 1 - p = 0.30. We need to find the probability of selling at least 4 cars (k ≥ 4) to make a profit:
P(X ≥ 4) = P(X = 4)
P(X = 4) = (4C4) * (0.70^4) * (0.30^0)
P(X = 4) = 1 * (0.2401) * (1)
P(X = 4) = 0.2401
Therefore, the probability that the dealership will make a profit if 4 customers enter on Friday is approximately 24.01%.
Visit here to learn more about probability : https://brainly.com/question/30034780
#SPJ11
will mark u brainliest!!!
Answers
Answer:
It really just deleted my answer..
Solve.
4p^2 - 50 = 350
O {-100, 100}
O {-400, 100}
O {-10, 10}O {-10, 100}
Step-by-step explanation:
You're welcome.
5. To qualify for the state cross-country championships, Nora needs to run 4 miles in 30 minutes or less. Which is the slowest average rate, in minutes per mile, Nora could run to qualify for the state cross-country championships?
a) 7.2 b) 7.4 c) 7.5 d) 7.8
Answers
Nora could run 7.5 minutes per mile to qualify for the state cross-country championships. The correct answer is option c.
To qualify for the state cross-country championships, Nora needs to run 4 miles in 30 minutes or less. So, her average rate should be:
average rate = total time / total distance
If she runs at the slowest rate possible to still qualify, then her average rate would be:
average rate = 30 / 4 = 7.5 minutes per mile
Therefore, the correct option is c) 7.5.
If she runs slower than this average rate, then her total time would exceed 30 minutes and she would not qualify.
To know more about average rate refer to-
https://brainly.com/question/29383345
#SPJ11
what is e * 6 - 4 * 1
Answers
Answer:
14 is the answer if you mean 3 by that e
is 14.23 a irrational or rational number
Answers
Answer:
Rational
Step-by-step explanation
It can only be irrational if it repeated, but this one doesn't so it is rational.
Hope that helped
I'll give you 100 points if you answer this correctly!!
Make a table of ordered pairs for the equation.
y=−1/3x+4
Then plot two points to graph the equation.
Answers
Let's pose x as 0, 1, 2, and 3, substituting for y to receive the "ordered pairs"
y = - 1/3(0) + 4 = 0 + 4 = 4
y = - 1/3(1) + 4 = - 1/3 + 4 = - 1/7
y = - 1/3(2) + 4 = - 2/3 + 4 = 10/3
y = - 1/3(3) + 4 = - 1 + 4 = 3
Table of ordered pairs:
x | y
0 | 4
1 | - 1/7
2 | 10/3
3 | 3
Answer:
one point is at (0,4) and the other is (3,3)
Step-by-step explanation:
I took the k12 test
For the simple harmonic motion equation d=9cos((p/2)t) what is the frequency? If necessary, use the slash (/) to denote a fraction.
Answers
The frequency of the simple harmonic motion described by the equation d=9cos((p/2)t) is pi/2.
In the equation d=9cos((p/2)t), the displacement d of the oscillating object is given by a cosine function with an argument of (pi/2)t. The general form of a cosine function is cos(wt), where w is the angular frequency of the motion. The angular frequency is related to the frequency f by the equation w=2pif. Therefore, to find the frequency of the motion described by the given equation, we need to find the value of w.
In this case, we have w = (pi/2), which means that the frequency f is w/2pi = (pi/2)/(2pi) = pi/4pi = 1/4. Simplifying this fraction gives us a frequency of pi/2, which is the final answer. Therefore, the frequency of the simple harmonic motion described by the equation d=9cos((p/2)t) is pi/2.
To learn more about Harmonic motion : brainly.com/question/30404816
#SPJ11
An angle of 1.5 rad intercepts an arc on the unit circle. what is the length of the intercepted arc?
Answers
Answer:
1.5
Step-by-step explanation:
I took the test
1) Select all the expressions that are equivalent to 12x³y8.
Answers
The expressions that are equal to 12x3y8 are (2x3y4) * 6,12 * (x3y4)2, (4x3y2) * 32, and (3x3) * (4y4)
What is expression?An expression is a mathematical phrase that can contain numbers, variables, and operators.
Expressions can be evaluated to find their value for specific values of the variables.
For example, the expression 2x + 3 represents a mathematical relationship between the variable x and the constant values 2 and 3.
The expression can be evaluated by substituting a value for x, such as x = 5, to find the value of the expression, 2 * 5 + 3 = 13.
The expressions that are equivalent to 12x³y8 are:
3x³y4 * 4
Explanation: This expression is equivalent because 3x³y4 * 4 = 12x³y8.
6x³y4 * 2
Explanation: This expression is equivalent because 6x³y4 * 2 = 12x³y8.
2x³ * 6y4
Explanation: This expression is equivalent because 2x³ * 6y4 = 12x³y8.
x³ * 12y4
Explanation: This expression is equivalent because x³ * 12y4 = 12x³y8.
These are all equivalent expressions because they represent the same numerical value for all possible values of x and y.
To learn more about expressions, visit
brainly.com/question/1859113
#SPJ1
The complete question is:
In a large city, taxicabs charge $1.00 for the first mile and $0.30 for each additional mile. Frank has only $3.50. What is the maximum
distance he can travel (not including a tip for the cabbie)?
Answers
The maximum distance Frank can travel would be 10 miles.
What is maximum distance?
For maximum distance that is maximum range of a projectile, the angle of projectile should be 45°.
From given question,
taxicabs charge for first mile = $1.00
for each additional mile = $0.30
The cost for the first mile is $1, and for each additional mile it's $0.30, so for 10 miles it would be $1 + 9 * $0.30 = $4.70. Since Frank has only $3.50, he can travel a maximum of 10 miles.
Therefore, The maximum distance Frank can travel would be 10 miles.
To know more about maximum distance visit,
https://brainly.com/question/2497377
#SPJ1
A local bakery specializes in fruit pies each month the owners of the bakery have a consistent total of $8769 and expenses salaries rent etc. and it cost $3.50 per pie to make each fruit by the bakery sauce it's pies for $9.75 each which inequality represents how many pies P the bakery will have to sell each month to earn more money from selling pies and pays and expenses and pie costs?
Answers
The inequality that represents how many pies P the bakery will have to sell each month to earn more money from selling pies and pay salaries, rent, and pie costs is P > 1403.04.
Let us assume the number of pies sold by the bakery is P and the cost per pie is $3.50.
Then the total revenue generated by selling P pies would be equal to the product of the number of pies sold and their cost, i.e., P × 9.75. The bakery's expenses including salaries, rent, etc. amount to $8769 per month.
To make a profit, the bakery's revenue should be more than the sum of expenses. Therefore, we can write the inequality equation as follows: Total Revenue (TR) - Total Expenses (TE) > 0
P × 9.75 - P × 3.50 - 8769 > 0
6.25P - 8769 > 0
6.25P > 8769
P > 8769/6.25
P > 1403.04
Since P is the number of pies sold, we cannot sell fractional pies. Therefore, the bakery has to sell at least 1404 pies (the next higher whole number) to make a profit.
So, the inequality that represents how many pies P the bakery will have to sell each month to earn more money from selling pies and pay salaries, rent, and pie costs is P > 1403.04. Therefore, the bakery has to sell more than 1403 pies each month to make a profit. The answer is in the form of inequality, which is P > 1403.04.
To learn about inequality here:
https://brainly.com/question/25944814
#SPJ11
the hypothesis statement h: µ = 25 is an example of a(an) ________ hypothesis.
Answers
Hypothesis testing is an important statistical tool that helps us make informed decisions based on data and evidence.
The hypothesis statement h: µ = 25 is an example of a null hypothesis. A null hypothesis is a statement that suggests there is no significant difference between two variables or that any difference is due to chance. It is often denoted as H0 and is used to compare against an alternative hypothesis, which suggests that there is a significant difference between two variables. In this case, the null hypothesis is that the population mean µ is equal to 25, and there is no significant difference between the sample mean and the population mean. If the null hypothesis is rejected, it means that there is enough evidence to suggest that the alternative hypothesis is true. However, if the null hypothesis cannot be rejected, it does not necessarily mean that it is true. It only suggests that there is not enough evidence to support the alternative hypothesis.
Learn more about Hypothesis here
https://brainly.com/question/606806
#SPJ11
What kind of function is
5x + 19y = 84 ? Thanks
Linear, slope-Intercept form Quadratic
exponential
linear, standard form
Answers
Answer:
It's a linear function.
_____ is a weighted average of the two estimates of _____. Group of answer choices Pooled variance; population standard deviation population standard deviation; pooled variance Pooled variance; population variance Variance; pooled variance
Answers
Pooled variance is the weighted average of two estimates of population variance, while population standard deviation refers to the standard deviation of a population. It is calculated to evaluate the variation of two independent samples when they have the same variance.
population standard deviation population standard deviation; pooled variance Pooled variance; population variance Variance; pooled variance" is: "Pooled variance; population standard deviation."In statistics, Pooled variance is defined as the weighted average of two estimates of the population variance, whereas population standard deviation refers to the standard deviation of a population. The formula for pooled variance is as follows:S²p = [(n1-1)S12 + (n2-1)S22] / (n1 + n2 - 2)Where S12 and S22 are the sample variances, and n1 and n2 are the sample sizes.The pooled variance is calculated in order to evaluate the variation of two independent samples when it is assumed that they have been drawn from populations with the same variance. When the population variances are not equal, it is not recommended to use the pooled variance as a measure of the variation. In conclusion, the term "pooled variance" is a weighted average of the two estimates of population standard deviation.
To know more about standard deviation Visit:
https://brainly.com/question/13498201
#SPJ11
solve for y
2y-13=11
Answers
Answer:
y = 12
Step-by-step explanation:
2y - 13 = 11
add
2y = 24
divide
y = 12
2y - 13 = 11
+ 13 + 13
-----------------------
2y = 24
/2 /2
-----------------------
y = 12
which one is the greatest?
Answers
3.674234614 is the greatest
Someone help. Will give brainliest
Answers
The least number on that line is -1 and the greatest is 1.5
The order is -1, -.9, 3/4, 1.1, and 1 1/2
Answer:
Step-by-step explanation:
3/4 is 0.75 and 1 1/2 is 1.5
plot the numbers:
1.1, 3/4 , -0.9 , -1, 1 1/2 ( the line is not up to scale)
_|_______|__|_______|_____|___|__|_____|____|_
-2 -1 -0.9 0 3/4 1 1.1 1 1/2 2
the number the least is -1
the number greatest 1 1/2
the correct order from least to greatest is
-1 , -0.9 , 3/4 , 1.1 , 1 1/2
A spinner has three equal sections labeled 1, 2, and 3.
What is the probability of getting two numbers that have a sum of 5 on the spinner?
Ο Α. 2
9
B. 1
3
o
C. 1
6
0 D 4
lo
Answers
The probability of getting two numbers that have a sum of 5 on the spinner is 1/9.
What is the likelihood of obtaining two numbers with a sum of 5 on the spinner?In probability theory, the probability of an event happening is defined as the number of favorable outcomes divided by the total number of possible outcomes. In this case, we need to determine the number of favorable outcomes where the sum of two numbers on the spinner is 5. There are two such favorable outcomes: (2, 3) and (3, 2). Since the spinner has three equal sections, the total number of possible outcomes is 3 * 3 = 9.
Therefore, the probability is calculated as 2 favorable outcomes divided by 9 total outcomes, resulting in 2/9 or approximately 0.2222.
Probability theory and calculating probabilities by considering favorable and total outcomes in different scenarios.
Learn more about probability
brainly.com/question/31828911
#SPJ11
Use a number line to find eac
13
5-(-8)
Answers
The number line shows the value of 5 - (-8) = 13.
What is a number line?A number line is a pictorial representation of integers on a straight line.This helps in performing many arithmetic operations.It consists of '0' in the middle i.e., zero is neither a positive nor a negative integer and it is taken as a reference point.It consists of positive integers(greater than zero) on the right side of '0'.It consists of negative integers(less than zero) on the left side of '0'.How to represent arithmetic operations on a number line?Addition:
If the addend is positive then move to the right side on the number lineIf the addend is negative then move to the left side on the number line.Subtraction:
If the subtrahend is positive then move to the left side on the number lineIf the subtrahend is negative then move to the right side on the number line.Representing the subtraction 5 - (-8) on a number line:Here the given operation is subtraction. Where a subtrahend is a negative number i.e., -8.
Step1: Start from '5' on the number line.
Step2: Since the subtrahend is a negative number, move to the right side on the number line from '5'.
Step3: Thus, the number obtained on the line is 13.
Step4: Algebraically the result is 5 - (-8) = 5 + 8 = 13.
The number line for this operation is shown below.
Learn more about a number line here:
https://brainly.com/question/24644930
#SPJ9
a company has given you the task to research the amount of snowfall in cleveland from december to february. would you be more interested in looking at the mean, median, or mode?
Answers
The number of measurements, and the mode being the most frequently occurring value among the snowfall measurements.
The mean, median, and mode are all useful measures of central tendency when researching the amount of snowfall in Cleveland from December to February. The mean is calculated by adding up all of the snowfall measurements and dividing that by the number of measurements. For example, if there were 4 snowfall measurements of 10, 20, 30 and 40 inches, the mean would be 25 inches (10+20+30+40 / 4). The median is the middle value of the snowfall measurements when they are arranged from least to greatest. In this example, the median would be 25 inches as well. The mode is the most frequently occurring value among the snowfall measurements. In this example, the mode is also 25 inches.
The mean, median and mode are all useful measures of central tendency when researching the amount of snowfall in Cleveland from December to February, with the mean and median being calculated by adding up all of the snowfall measurements and dividing that by the number of measurements, and the mode being the most frequently occurring value among the snowfall measurements.
Learn more about mean, median, and mode here:
https://brainly.com/question/29836513
#SPJ4
A researcher who is interested in the academic performance of students currently enrolled at the local college randomly selects 100 students to include in his study. The average GPA for these students is an example of a(n) _____.
Answers
Answer:
The average GPA for the 100 students is a sample statistic.
To find the width of the rectangular screen, we can use the formula for the area of a rectangle:
length x width = area
We are given that the viewable area is 9,800 square meters, so:
length x width = 9,800
We are also given that the length is 5 meters more than 6 times the width, so:
length = 6w + 5
Substituting this into the area formula:
(6w + 5) x w = 9,800
Expanding and rearranging:
6w^2 + 5w - 9,800 = 0
Using the quadratic formula:
w = (-5 ± sqrt(5^2 - 4(6)(-9800))) / (2(6))
w ≈ 32.9 meters (to two decimal places)
Therefore, the width of the rectangular screen is approximately 32.9 meters.
Step-by-step explanation:
A pie recipe calls for 2 cups of flour, 3 ½ cups of pecans, and 1 ¼ cups of brown sugar. Mrs. Johnson wants to double the recipe because Ms. Olusanya, Mr. Dinh, and Mr. Kazadi are coming for dinner. Which of the following expressions can NOT be used to find the tota
l number of cups of ingredients that Mrs. Johnson needs?
Answers
Answer:
- 4 cups of flour
- 7 cups of pecans
- 2.5 cups of brown sugar
HELP!! ASAP
Find the length of each line segment or object to the nearest half, fourth, or eighth inch.
Answers
Write each phrase as an algebraic expression.
14. n divided by 8.
15. p multiplied by 4
16. b plus 14.
17. 90 times x,
18. a take away 16.
19. k less than 24
20. 3 groups of w
21. the sum of 1 and q
22. the quotient of 13 and z.
23. cadded to 45
Answers
Each phrase can be epressed as an algebraic expression as:
n/8
4p,
b+14
90x
-16
24-k
3(w)
1+q
13/z
45+c
w-8
What is algebraic expression?An expression that uses constant algebraic numbers, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). A good example of an algebraic expression is 3x2 2xy + c.
A variable expression can be described using its terms and operations on the terms as an algebraic expression. For instance, "3 more than x" can be used to describe x + 3.
Learn more about algebraic expression at:
https://brainly.com/question/4344214
#SPJ1
can someone show me how to do this
Answers
Answer: (0, 2)
Step-by-step explanation:
The solution of a system of equations is where the lines intersect at.
We will use substitution to solve the system.
Equations:
y = 1/2x + 2
y = -1/5x + 2
Set both equations to equal each other:
1/2x + 2 = -1/5x + 2
Simplify:
7/10x = 0
x = 0
Plug 0 back in:
y = 1/2(0) + 2
y = 0 + 2
y = 2
The solution is (0, 2)
(This can also be seen by looking at the graph)
Hope this helps!
Help ASAP I’ll mark you as brainlister
Answers
Answer:
54°
Step-by-step explanation:
A traditional economy is an economy where ______
Economic decisions are based on traditions culture and beliefs
Answers
When making economic decisions, a traditional economy looks to cultural traditions, beliefs, and other tenets.
Where is the traditional economy based?Brazil, Haiti, Alaska, Yemen, Canada, and Greenland were classified as traditional economies by The World Population Review in 2022. The Middle East, Asia, Africa, and Latin America are the regions with the most traditional economic systems.In a traditional economy, people make decisions regarding their financial well-being based on their traditions and routines. As their forefathers did, they often use farming or hunting to satiate their needs and desires. Most people in traditional economies do not wish to alter their fundamental way of life.This kind of economic structure is frequently found in rural, agricultural nations. A traditional economy is one that relies on bartering and trading, also referred to as a subsistence economy. A small amount of excess is created, along with any excess goods.To learn more about economic refer to:
https://brainly.com/question/17996535
#SPJ1