Find the projection of the vector v onto the
subspace S.
Find the projection of the vector v onto the subspace S. 0 0 S = span 1 projs V = 11
Answers
Given, subspace S = span {1}, projection of vector v onto subspace S is projs V = 11.
We need to find the vector v and then find the projection of the vector v onto the subspace S. The projection of the vector v onto the subspace S is given by the formula: projS v = ((v•u)/(u•u)) * u where u is a unit vector in the direction of S. To find the vector v, we use the formula: v = projs V + v_⊥ where v_⊥ is the component of vector v that is orthogonal (perpendicular) to the subspace S and projs V is the projection of vector v onto the subspace S.
Since the subspace S is spanned by the vector 1, the unit vector in the direction of S is given by: Vu = 1/||1|| * 1 = 1/1 * 1 = 1Now, we can find the vector v using: v = projs V + v_⊥11 = projs V is given. So,11 = ((v•1)/(1•1)) * 1 => v•1 = 11v = [11]To find the projection of the vector v onto the subspace S, we use the formula: projS v = ((v•u)/(u•u)) * u, where v = [11] and u = 1/||1|| * 1 = 1/1 * 1 = 1So,projSv = (([11]•1)/(1•1)) * 1 = 11Therefore, the projection of the vector v = [11] onto the subspace S = span {1} is given by projS v = 11.
To know more about orthogonal refer to:
https://brainly.com/question/30772550
#SPJ11
Related Questions
-3x - 6+ (-1)
help!!!!
Answers
Answer:
-3x = 7 .
Step-by-step explanation:
-3x - 6 - 1 =
-3x - 7
Hope that helps!
Answer:
-3x-7
Step-by-step explanation:
Combine like terms
Which expression is equivalent to 4(23)?
Answers
Answer:
92
Step-by-step explanation:
Multiply 4 and 23:
4 * 23 = 92
Martina is putting money into a savings account. She starts with s350 in the
savings account, and each week she adds $30.
Let s represent the total amount of money in the savings account (in
dollars), and let w represent the number of weeks Martina has been adding
money. Write an equation relating s to w. Then use this equation to find the
total amount of money in the savings account after 17 weeks.
Answers
===================================================
Explanation:
w = number of weekss = amount of money in savingsShe starts off with $350 in savings. Then she adds on another $30 per week. After w of those weeks, she adds a total of 30w dollars. The w is just a placeholder for a number. For example, if w = 5, then 30*w = 30*5 = 150 dollars is added on top of the $350 already there.
Overall, the expression 30w+350 represents how much is in her savings after w weeks. Therefore, the equation Martina wants would be
s = 30w+350
----------------------
For the second part, we'll plug w = 17 into that equation to find s
s = 30w+350
s = 30*17+350
s = 510+350
s = 860
Martina has $860 in her account after 17 weeks.
straight line graphs
Answers
Answer:
I don't get it what is the question ❓
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Answers
Answer:
Hey there : y= 3x - 3
Answer:
y = \(\frac{3}{2}\) x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = \(\frac{3-0}{0-(-2)}\) = \(\frac{3}{0+2}\) = \(\frac{3}{2}\)
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = \(\frac{3}{2}\) x + 3 ← equation of line
Ben, Tara and Liam are playing hide and seek. They start playing at quarter past 11. They play for 45 minutes, before stopping for a drink and a cookie. They continued to play for 45 minutes and head inside at 10 minutes past 1.
How long did they stop for a drink and a cookie. Explain your reasoning.
Answers
Answer:
25 minutes
Step-by-step explanation:
they started at a quarter past 11, which is 11:15
they then played for 45 minutes, which would be until 12:00
you also know that they stopped playing at 10 minutes past 1, at 1:10.
before 1:10, they had been playing for 45 minutes, which means they started playing for the second time at 12:25.
all that's left is the time between 12:00 and 12:25, which is 25 minutes, so they spent 25 minutes stopping for a drink and a cookie.
35 is what percent of 150
Answers
\(~~~~~~150\times x\% = 35\\\\\implies 150 \times \dfrac{x}{100} = 35\\\\\implies \dfrac{3x}{2}=35\\\\\implies 3x = 35\cdot 2\\\\\implies 3x = 70\\\\\implies x = \dfrac{70}{3}\\\\\implies x =23.\overline{3}\\\\\text{So, 35 is}~ 23.\overline{3}\%~ \text{of} ~150.\)
Evaluate the following if a = 3,b= -2 and c = 1
a3 - 2bc +5ac
Answers
Answer:
28
Step-by-step explanation:
(3)×3 - 2×(-2)×(1) + 5×(3)×(1)
9 - -4 + 15 = 28
Answer:
46
Step-by-step explanation:
Given
a³ - 2bc + 5ac ← substitute values for a, b, c into the expression
= 3³ - (2 × - 2 × 1) + (5 × 3 × 1)
= 27 - (- 4) + 15
= 27 + 4 + 15
= 46
The value of x in the proportion 1/2:2/3 = 3/4:x is
1
4/9
1779
14
PLEASE HELP
Answers
Answer:
x = 1
Step-by-step explanation:
Given
\(\frac{1}{2}\) : \(\frac{2}{3}\) = \(\frac{3}{4}\) : x
Multiply all parts by 12 to clear the fractions
6 : 8 = 9 : 12x , simplifying
3 : 4 = 3 : 4x
Thus
4x = 4 ( divide both sides by 4 )
x = 1
Hi! Been out due to medical issues. Trying to learn work so help would be appreciated! Thank you so much.
Answers
To answer this question we will set and solve a system of equations.
Let A be the speed (in miles per hour) of the airplane in still air, and W be the wind speed (in miles per hour).
Since the airplane flying with the wind takes 4 hours to travel a distance of 1200 miles and flying against the wind takes 5 hours to travel the same distance, then we can set the following equation:
\(\begin{gathered} 4A+4W=1200, \\ 5A-5W=1200. \end{gathered}\)Dividing the first equation by 4 we get:
\(\begin{gathered} \frac{4A+4W}{4}=\frac{1200}{4}, \\ A+W=300. \end{gathered}\)Subtracting A from the above equation we get:
\(\begin{gathered} A+W-A=300-A, \\ W=300-A\text{.} \end{gathered}\)Substituting the above equation in the second one we get:
\(5A-5(300-A)=1200.\)Simplifying the above result we get:
\(\begin{gathered} 5A-1500+5A=1200, \\ 10A-1500=1200. \end{gathered}\)Adding 1500 to the above equation we get:
\(\begin{gathered} 10A-1500+1500=1200+1500, \\ 10A=2700. \end{gathered}\)Dividing the above equation by 10 we get:
\(\begin{gathered} \frac{10A}{10}=\frac{2700}{10}, \\ A=270. \end{gathered}\)Finally, substituting A=270 at W=300-A we get:
\(\begin{gathered} W=300-270, \\ W=30. \end{gathered}\)Answer:
The speed of the airplane in still air is 270 miles per hour.
The wind speed is 30 miles per hour.
If 6 workers take 700 hours to finish a project, how long will it take 12 workers to complete the same project?
Answers
Answer:
350 hours
Step-by-step explanation:
700/2 = 350
There are double the amount of workers so it is half the time.
From a horizontal distance of 80 m, the angle of elevation to the top of a flagpole is 18 degree. Calculate the height of the flagpole to the nearest whole meter.
Answers
Answer:
26m
Step-by-step explanation:
The value of the opposite side (height of the flagpole) is to be determined given the angle and the value of the adjacent side(horizontal distance )
We would use tan 18 to determine the value of the missing side
tan 18 = opposite / adjacent
0.3249 = opposite / 80
0.3249 x 80 = 26m
please find attached a graphical interpretation of this question
the _____ of a trapezoid is a segment whose endpoints are the midpoints of its legs.
Answers
Answer:
The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.
Step-by-step explanation:
a random sample of 380 found that 67% of the readers owned a personal computer. find the value of the test statistic. round your answer to two decimal places.
Answers
The value of the test statistic is 6.51.
The test statistic for this problem can be calculated using the formula:
z = (p - P) / √(P * (1 - P) / n)
Where p is the sample proportion (0.67 in this case), P is the hypothesized population proportion (we don't know this value, so we assume it to be 0.5 for a two-tailed test), n is the sample size (380), and z is the standard normal distribution value corresponding to the level of significance.
Plugging in the values, we get:
z = (0.67 - 0.5) / √(0.5 * (1 - 0.5) / 380) = 6.51
So the value of the test statistic is 6.51.
The test statistic is a measure of how far the sample proportion deviates from the hypothesized population proportion under the null hypothesis. In this case, we assume that the population proportion is 0.5 (since we have no reason to believe otherwise), and we calculate the probability of observing a sample proportion of 0.67 or greater assuming this null hypothesis is true.
Learn more about test statistic
https://brainly.com/question/15110538
#SPJ4
please helpppppppppp
Answers
Answer:
the ANSWER IS D
Step-by-step explanation:
because its multiplication
Which of the following steps were applied to ABCD to obtain A'B'C'D'?
PLZZZZ HELP
Answers
Answer:
D
Step-by-step explanation:
Since all the points were shifted the same way, I'll just use point A and point A'.
Point A starts at (3,5) and A' is at (5,2)
If the subract the x coordinates: 5-3=2
Then subtract the y coordinates: 2-5=-3
The 2 is positive, so it is 2 units to the right (the positive x direction) and -3 is negative so 3 units down (negative y direction)
Find the missing angle or find X?
Answers
Answer:
x = 45
Step-by-step explanation:
Interior angles of a triangle sum up to 180
180 - 90 = 90
90 / 2 = 45
Answer:
X = 45
Step-by-step explanation:
Since all interior angles of a triangle add up to 180 and both of the missing angles are the same value, X would equal 45,
90+45+45=180
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
Gina is buying 24 oranges. Two stores offer the following deals:
Store A: 12 oranges for $6.48
Store B: 5 oranges for $2.65
Gina can buy oranges individually.
How much will Gina save if she buys 24 oranges at Store B?
Show your work
Answers
Answer:
12.72
2.65/5 = 0.53
0.53x24= 12.72
Step-by-step explanation:
i dont understand this
Answers
Answer:
The answer is A.) 9
Step-by-step explanation:
Answer:
Pretty sure its 4
brainliest pls
Find the value of x in the triangle shown below.
O
C =
3.5
4
xº
55°
3.5
Answers
Answer:
okay so the answer is 70°
Step-by-step explanation:
the triangle has two sides equal meaning its a scalene triangle. now bases scalene triangles have two angles equal. hence sum of angles in the triangle sum up to 180° please. rate. me brainliest. if I'm. right
\(55 + 55 + x = 180 \\ 110 + x = 180 \\ x = 180 - 110 \\ x = 70degrees\)
Evaluate the following.
||-2|-|3-12||
Answers
Answer:
7
Step-by-step explanation:
You want the value of the expression ||-2|-|3-12||.
EvaluationInner groups are evaluated first:
||-2|-|3-12|| = |2 -|-9||
= |2 -9|
= |-7| = 7
The value of the expression is 7.
__
Additional comment
The absolute value function changes negative signs to positive:
|-2| = 2
It has no effect on positive signs.
|2| = 2
then |2-9| would be positive 7
Mousa borrowed $6,000 to buy a car and he will make 36 monthly payments of $185.81 to repay the loan. how much total interest will he pay over the life of the loan?
Answers
The total interest that will Mousa pays over the life as the loan is given by the term $689.16.
Simple interest is a form of interest where the original principal sum is repeatedly subjected to the same rate of interest. We will receive interest on that sum from each bank where we put money. One of the several types of interest that banks charge is simple interest. Hence, before exploring the concept of simple interest further, let's first define what a loan is.
We have,
Mousa borrowed $6,000 as a amount
he will make 36 monthly payments to repay that amount
$185.81 to repay the loan
So we have,
Mousa will make total payments of
= $185.81 x 36
= $6689.16
Since the car cost $6,000 the amount he is going to pay is ,
= $6,689.16 -$6,000
= $689.16 as interest.
Therefore, total interest will he pay is $689.16.
Learn more about Interest:
https://brainly.com/question/26088112
#SPJ4
Use properties of equality to get a2 by itself
Answers
Answer:
121
Step-by-step explanation:
a^2 + 3600 = 3721
subtract 3600 from both sides
a^2 = 3721 - 3600
simplify
a^2 = 121
In 2008, the minimum wage was $8 per hour. Now it is $13. By what percent did the price change?
PLS HELP!!! :(
Answers
Answer:
62.5%
Step-by-step explanation:
13-8=5
5/8 × 100=62.5
Which is the graph of the function f(x) = -√x
Answers
suppose a frequency distribution has the following consecutive classes: $20 up to $30 $30 up to $40 $40 up to $50 what is the class midpoint for the first class?
Answers
Answer:25
Step-by-step explanation:
Which of the following is equal to the rational expression when x*-2 or 3?
xả +5x+6
x²-x-6
A. X+2
X-3
B. X+3
X-3
OC. x+2
x-2
D. X+3
X-2
Answers
The value of the expression in the simplified form is f(x) = x+3/x-3
Rational expressionRational expressions are expressions written as a ratio of two integers or expressions.
Given the rational expression below;
f(x) = x²+5x+6/x²-x-6
Factorize the numerator and denominator
f(x) = x²+3x+2x+6/x²-3x+2x-6
f(x) = x(x+3)+2(x+3)/x(x-3)+2(x-3)
f(x) = (x+3)(x+2)/(x+2)(x-3)
f(x) = x+3/x-3
Hence the value of the expression in the simplified form is f(x) = x+3/x-3
Learn more on rational expression here: https://brainly.com/question/1928496
#SPJ1
two independent samples of sizes 20 and 25 are randomly selected from two normal populations with equal variances. in order to test the difference between the population means, the test statistic is:
Answers
To test the difference between the population means, the test statistics we use is t-test.
According to the question we have been given that,
There are two independent samples of sizes 20 and 25.
The population is normally distributed and have equal variances.
We have to test the difference between the population means. For that the test statistics we will use is t- test.
t - test is used when we have to compare the means of two groups and how they are related. Also the sample size should be less than 30 (<30)
Learn more about t-test here :https://brainly.com/question/17205773
#SPJ4
Help needed ASAP will give brainliest and 5 STAR RATE (not a real test)
Answers
Answer:
(0,0), (0,1), (1,2), (1,3)
Step-by-step explanation:
To determine what makes ordered pairs a function, we have to make sure each input (x) goes to exactly one output (y).
The reason this is the answer is that each input doesn't have exactly one output. (0 goes to 0 and 1. 1 goes to 2 and 3).
Determine whether each statement is true or false. If false, explain why.A polynomial function having degree 6 and only real coefficients may have no real zeros.
Answers
The statement 'A polynomial function having degree 6 and only real coefficients may have no real zeros' is false.
A polynomial function having degree 6 and only real coefficients must have at least one real zero. This is known as the Fundamental Theorem of Algebra, which states that a polynomial function of degree n has exactly n complex zeros, counting multiplicity.
Since the polynomial function has only real coefficients, the complex zeros must occur in conjugate pairs. Therefore, if there are no complex zeros (i.e., all zeros are real), then the polynomial function has a total of n real zeros.
Hence, a polynomial function of degree 6 and only real coefficients cannot have no real zeros.
To know more about the polynomial function refer here,
https://brainly.com/question/29780212#
#SPJ11