Let V be the set of vectors shown belowV={[x y] x<0, y>0} a. If u and v are in V. is u+v in V? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V
Answers
No, u + v is not in V and there is no scalar c such that cu is in V.
a. No, u + v is not in V. Since x < 0 and y > 0 for u and v, the sum of u and v will have a positive x-coordinate, which violates the condition that x < 0 for vectors in V.
b. Let u = [-1, 1]. To show that cu is not in V for any scalar c, we can assume that cu is in V and derive a contradiction.
If cu is in V, then its x-coordinate must be negative, i.e., cu = [-c, y] for some positive y.
But this means that u = [-1, y/c] is also in V, which contradicts the fact that x < 0 for vectors in V.
Therefore, there is no scalar c such that cu is in V.
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Related Questions
Angel is making dumplings. If he uses cup of dough for each dumpling, how many cups of dough does Angel need to make 7 dumplings?
Answers
Answer:
7
Step-by-step explanation:
If a member states, "i don’t know what to say to my father" during a role play. The best response from the leader will be?
Answers
The sentence "If this is the last chance you have to speak to him, what do you want to tell him" will be the best response from the leader.
What is a role play?This refers to the act of imitating the character and behaviour of someone who is different from yourself which an example is a training exercise which involves imitating of another people.
Sometimes, during the role play, the member of the group can run out of words while presenting a role, hence, as the member states, "i don’t know what to say to my father", the sentence "If this is the last chance you have to speak to him, what do you want to tell him" will be the best response from the leader to induce the member to talk.
Therefore, the Option C is correct.
Missing word "a. What or whom do you want to get away from? b. What made you come if you didn't want to be here today? c. If this is the last chance you have to speak to him, what do you want to tell him? d. What do you imagine will happen if you don't talk about it?"
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What is the image of (-5,-8) after a reflection over the y-axis
Answers
Just asking. How are we supposed to answer this without some sort of picture with a graph or something? :/
Answer:
(-5,-8) reflected over the y-axis turns to (-5,8)
help me please and thank you
Answers
Therefore , the solution of the given problem of volume comes out to be false we must first know the cylinder's radius and height.
Explain volume.A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. The symbols cm3 and in3 stand for cubic dimensions. However, you can use an object's bulk to estimate its dimensions. Usually, the weight of the item is converted into mass measures like kilograms and kilos.
Here,
The capacity of a cylinder and a cone that are the same height and radius are not the same.
The formula V = πr²h,
where r is the radius of the base and h is the height, determines the volume of a cylindrical. Contrarily, the equation
=> V = (1/3)r²h gives the volume of a cone.
To calculate the volume of a cone with the same measurements if the cylinder's volume is 99 cubic cm,
False we must first know the cylinder's radius and height.
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an apple and banana cost $1.10. an apple costs $1 more than a banana. how much does a banana cost? explanation
Answers
Answer:
A banana costs $0.05
Step-by-step explanation:
Let a = the cost of an apple
Let b = the cost of a banana.
a + b = 1.10
a = b + 1 Substitute b + 1 for a in the bold equation.
b + 1 + b = 1.10 Combine like terms
2b + 1 = 1.10 Subtract 1 from both sides
2b = .10 Divide both sides by 2
b = .05
An apple would cost
a = .05 + 1
a = 1.05
An apple and a banana together would cost 1.10
a + b = 1.10
1.05 + .05 = 1.10
1.10 = 1.10 checks.
Helping in the name of Jesus.
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Answer: The cost of the banana is $0.05.
Step-by-step explanation:
This is an exercise in elementary algebra, which is a branch of mathematics that focuses on the study of the fundamental operations and properties of numbers and algebraic expressions. In particular, in elementary algebra you learn to solve problems by manipulating algebraic expressions and applying basic algebraic rules and procedures.
One of the fundamental skills of elementary algebra is solving systems of linear equations with two variables. Such a system is a set of two or more equations involving two or more variables. In the case of a system of two linear equations with two variables, the solution of the system consists in finding the numerical values of the two variables that satisfy both equations.
The substitution technique is one of the main tools used to solve systems of linear equations with two variables in elementary algebra. This technique consists of isolating one of the variables in one of the equations and substituting that expression in the other equation. The resulting equation is then solved to find the value of the other variable. Finally, this value is substituted into one of the original equations to find the value of the other variable.
We solve:
Let x be the cost of the banana.
From the statement, we know that:
The cost of an apple is $1 more than the cost of a banana, so the cost of the apple is x + $1.The total cost of an apple and a banana is $1.10, which means that x + (x + $1) = $1.10.Solving the equation:
2x + $1 = $1.10
2x = $1.10 - $1
2x = $0.10
x = $0.10 / 2
x = $0.05
Therefore, the cost of the banana is $0.05.
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1) If 4 men take 18 days to paint a fence. Working at the same pace, how many men would be needed to paint the fence in 12 days?
2) It takes 6 men 14 hours to dig a drain. How many hours would it take 7 men to dig the same drain?
3) A bus takes takes 4 hours to reach its destination, travelling at a speed of 60 miles per hour. How many hours would it take to reach the same destination travelling at 80 miles per hour?
4) If 9 persons take 40 minutes to complete a task. Working at the same pace, how long would it take 6 persons to complete the same task?
5) If 8 men can mow a large piece of lawn in 9 hours, then how long would it take 9 men working at the same rate to mow the same lawn?
6) A car travels 150 miles in 3 hours. How many miles will it travel in 7 hours at this same rate?
7)Lia earns $7.50 per hour, at this rate; how much would she earn for 9 hours of work?
8) Alex can pack 64 oranges in 4 minutes, at this same pace; How many oranges could he pack in 1 minute?
9) A machine manufactures 400 units in 5 minutes. At this rate, How many units would it manufacture in 2 minutes?
10) A train travels 240 km in 4 hours, at this same speed; how much time would it take to travel 540 km?
Answers
Answer:
it will take 6men to work in 12days
it takes 6men to work in 13hours it will now take 7men to work 13
it will take 6 hours to travel at 80miles
it will take 6 men to complete the same work at 1 hour
it will take 9 men to mow a large piece of lawn in 8 hour
it will travel 50 miles is 7 hour
Given the function g(x)=6x^3+18x^2−144x, find the first derivative, g′(x). g′(x)= Notice that g′(x)=0 when x=−4, that is, g′(−4)=0. Now, we want to know whether there is a local minimum or local maximum at x=−4, so we will use the second derivative test. Find the second derivative, g′′(x). g′′(x)= Evaluate g′′(−4). g′′(−4)= Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at x=−4 ? [Answer either up or down ⋯ watch your spelling!!] At x=−4 the graph of g(x) is concave Based on the concavity of g(x) at x=−4, does this mean that there is a local minimum or local maximum at x=−4 ? [Answer either minimum or maximum - watch your spelling!!] At x=−4 there is a local
Answers
Since the second derivative is zero, it indicates a point of inflection rather than a local minimum or maximum.
The function g(x) = 6x^3 + 18x^2 - 144x is given, and we need to find its first and second derivatives. The first derivative, g'(x), can be calculated by differentiating each term with respect to x. The result is g'(x) = 18x^2 + 36x - 144. Setting g'(x) equal to zero and solving for x, we find that x = -4. To determine whether there is a local minimum or maximum at x = -4, we need to evaluate. The second derivative of g(x) is g''(x) = 36x + 36. Substituting x = -4 into g''(x) gives g''(-4) = 0. Since the second derivative is zero, it indicates a point of inflection rather than a local minimum or maximum.
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What is 349 x 206? :((((((((((((
Answers
Answer:
71894 hope it help
Step-by-step explanation:
Answer:
71894
Step-by-step explanation:
write two numbers in scientific notation so that the second number is 10 times as great as the first number
Answers
The second number is 10 times greater than the first number since 3.5 x 10^4 x 10 = 3.5 x 10^5.
A small company's net income for the first months of the year was $76,500 and for the last six months it was $100,000. What is the ratio of the first six months of the year to the last six months of the year ?
Answers
Answer:
Ratio of the first six months of the year to the year to the last six months of the year in simplest form = (153/200)
Step by step Explanation:
we are told to calculate the ratio of the first six months of the year but we know that the net income for the first six months of the years wa given as $76,500 also net income for the first six months of the years was given as $100,000
and we are told to calculate the ratio of the first six months of the year.
CHECK THE ATTACHMENT FOR DELTA LED EXPLANATION
PLEASE HELLPPP MEEEEE
Answers
Answer:
2x - 3y = 24
Step-by-step explanation:
You use the formula Ax ± By = C.
This is the standard linear equation form.
Mai is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Mai has been adding money. Suppose that x and y are related by the equation y= 550 + 40x.
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What is the change per week in the amount of money in the account?
What was the starting amount of money in the account?
Answers
The change per week in the amount of money in the account is 40
The starting amount of money in the account is 550.
How to illustrate the equation?The statement that exemplifies the provided variables is called an equation. In this instance, the scenario is described by taking into account two or more factors. The definition of an equation as a mathematical statement that consists of two expressions joined by an equal sign must be understood.
In this instance, x and y are connected by the formula y=550 + 40x. In light of this, the weekly change in the account's balance is 40 dollars, while the initial balance was 550.
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The ordered pairs (x, y) define the relation Q.
{(4, 5), (-3,2), (5,5), (, - 3)}
Is Q a function?
Answers
Answer:
A
Step-by-step explanation:
Yes, because there is exactly one x-value for every y-value.
how will the z-scores compare if you use your height in inches verses centimeters?
Answers
The z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.
The z-scores will not change if you convert the height measurements from inches to centimetres or vice versa. The z-score is a standard score representing the number of standard deviations, a value above or below the mean of a normal distribution.
The z-score is calculated using the formula z = (x - mean)/standard deviation, where x is the value being compared to the mean and standard deviation of the distribution.
Converting the height from inches to centimetres or vice versa will only change the units of measurement, but the relative position of a value within the distribution will remain unchanged.
Therefore, the z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.
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Using the Law of Cosines, find m
Answers
The value of m by using the Law of Cosines is 586.72
We are given that;
In triangle whose side are 13in and 20in angle between those lines is 93degree.
Now,
The Law of Cosines states that for any triangle with sides a, b, and c and angle C opposite to side c, the following equation holds:
c^2=a^2+b^2−2abcosC
We want to find c, which is the same as m. So we plug in the given values into the equation and solve for c:
c^2=13^2+20^2−2(13)(20)cos93
c^2=169+400−520cos93
c^2=569−520(−0.0523)
c^2=586.72
c=586.72
Therefore, by law of cosines the answer will be 586.72.
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According to government data, the probability that an adult was never in a museum is 15%. In a random survey of 10 adults, what is the probability that at least eight were in a museum
Answers
The probability that at least eight out of ten adults in the random survey have been in a museum is approximately 0.905, or 90.5%.
The probability of at least eight adults out of a random survey of ten adults having been in a museum can be calculated using the binomial probability formula. Let's denote the probability that an adult was never in a museum as "p" (15%) and the probability that an adult has been in a museum as "q" (85%).
To find the probability of at least eight adults out of ten having been in a museum, we need to sum the probabilities of exactly eight, exactly nine, and exactly ten adults having visited a museum.
Let's calculate each probability individually and then add them together:
Probability of exactly eight adults (k = 8):
P(X = 8) = (10 choose 8) * (0.85^8) * (0.15^2)
Probability of exactly nine adults (k = 9):
P(X = 9) = (10 choose 9) * (0.85^9) * (0.15^1)
Probability of exactly ten adults (k = 10):
P(X = 10) = (10 choose 10) * (0.85^10) * (0.15^0)
To calculate these probabilities, we can use the binomial coefficient formula, which is (n choose k) = n! / (k! * (n - k)!). In this case, n is 10, and k varies from 8 to 10.
Calculating each probability:
P(X = 8) = (10 choose 8) * (0.85^8) * (0.15^2)
P(X = 9) = (10 choose 9) * (0.85^9) * (0.15^1)
P(X = 10) = (10 choose 10) * (0.85^10) * (0.15^0)
Once we have these values, we can add them together to obtain the probability of at least eight adults having been in a museum:
P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)
Now, let's calculate these probabilities:
P(X = 8) = (10 choose 8) * (0.85^8) * (0.15^2) ≈ 0.3117
P(X = 9) = (10 choose 9) * (0.85^9) * (0.15^1) ≈ 0.3874
P(X = 10) = (10 choose 10) * (0.85^10) * (0.15^0) ≈ 0.2059
Finally, adding these probabilities together:
P(X ≥ 8) = 0.3117 + 0.3874 + 0.2059 ≈ 0.905
Therefore, the probability that at least eight out of ten adults in the random survey have been in a museum is approximately 0.905, or 90.5%.
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(2- 7/18: 1/4) : x = x: (4/9:16)
Answers
HOPE THIS HELPS YOU
What are special angles in geometry?
Answers
Special angles in geometry are specific angle measures that have unique properties and are often encountered in geometric problems:
(1) Right angle (2) Acute angle (3) Obtuse angle (4)Straight angle (5)Reflex angle
(6) Complementary angles (7)Complementary angles
In geometry, special angles refer to specific angles that have special properties or characteristics. These angles include right angles, acute angles, and obtuse angles. A right angle is an angle that measures exactly 90 degrees, while an acute angle is an angle that measures less than 90 degrees. An obtuse angle, on the other hand, measures more than 90 degrees but less than 180 degrees. These angles are important in geometry as they form the foundation for many geometric shapes and concepts. Understanding the properties and characteristics of these special angles is crucial for solving geometry problems and constructing geometric figures accurately.
Special angles in geometry are specific angle measures that have unique properties and are often encountered in geometric problems. These angles include:
1. Right angle: A right angle is an angle that measures exactly 90 degrees. It is formed when two lines intersect perpendicularly.
2. Acute angle: An acute angle is an angle that measures between 0 and 90 degrees. It is smaller than a right angle.
3. Obtuse angle: An obtuse angle is an angle that measures between 90 and 180 degrees. It is larger than a right angle.
4. Straight angle: A straight angle is an angle that measures exactly 180 degrees. It is formed when two lines intersect in a straight line.
5. Reflex angle: A reflex angle is an angle that measures between 180 and 360 degrees. It is larger than a straight angle.
6. Complementary angles: Two angles are complementary if their sum is equal to 90 degrees.
7. Supplementary angles: Two angles are supplementary if their sum is equal to 180 degrees.
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The mean of 5 numbers is 11. the numbers are in the ratio 1:2:3:4:5 find the smallest number?
Answers
The smallest number is x = 11/3. The smallest number in the given ratio of 1:2:3:4:5 whose mean is 11 is 11/3.
Given that the mean of 5 numbers is 11. The numbers are in the ratio 1:2:3:4:5. We need to find the smallest number. We can start solving the problem by following these steps:
Step 1: Let us assume the smallest number to be x.
Step 2: According to the question, the numbers are in the ratio 1:2:3:4:5. Hence, the other four numbers can be written as 2x, 3x, 4x, and 5x.
Step 3: The mean of these 5 numbers is given as 11.
Therefore, we can write:(x + 2x + 3x + 4x + 5x)/5 = 11.
Step 4: Simplifying the above equation, we get:15x/5 = 11x = 11/3.
Step 5: Therefore, the smallest number is x = 11/3.
The smallest number in the given ratio of 1:2:3:4:5 whose mean is 11 is 11/3.
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.Mobile banner ads perform significantly better than desktop banners.
False or true?
Answers
It is false that mobile banner ads perform significantly better than desktop banners.
There is no clear consensus on whether mobile banner ads or desktop banner ads perform better. The effectiveness of banner ads depends on various factors such as the placement of the ad, its design, and the target audience.
However, it is true that mobile usage has been increasing rapidly in recent years, and more people are accessing the internet through their mobile devices than through desktop computers. Therefore, it is important for advertisers to optimize their ads for mobile devices and ensure that they are mobile-responsive.
Nevertheless, it cannot be generalized that mobile banner ads are more effective than desktop banner ads. The effectiveness of an ad should be evaluated on a case-by-case basis, taking into account the specific objectives, target audience, and design of the ad.
Therefore, it is important for advertisers to test their banner ads on both desktop and mobile devices to determine which platform works best for their specific campaign. And the given statement is false.
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Identify the independent variable and dependent variable in the situation:
Dollars earned, d, and the number of hours spent babysitting, h.
Independent variable
[Choose ]
Dependent variable
[Choose]
Answers
Dependent: money earned
Basically, the amount of money she earns DEPENDS on how many hours she worked. It wouldn’t make sense to say that the amount of hours she worked depends on how much money she made.
office supply company (osc) has a spare parts warehouse in alaska to support its office equipment maintenance needs. once every six months, a major replenishment shipment is received. if the inventory of any given part runs out before the next replenishment, then emergency air shipments are used to resupply the part as needed. orders are placed semiannually, on january 1 and july 1 of each year. osc must determine replenishment quantities for its spare parts. historical data show that total demand for part 1aa-66 over a six-month interval is poisson distributed with mean 6.5. the cost of inventorying the unneeded part for six months is $5 (which includes both physical and financial holding costs and is charged based on inventory at the end of the six-month period). the unit cost under regular, semiannual shipment is $32 per part, and the cost of an emergency shipment is $50 per part. it is now january 1 and osc has three 1aa-66 parts currently in inventory. how many parts should they order under their regular shipment for the next six months?
Answers
As per the concept of probability, the number of parts should they order under their regular shipment for the next six months is approximately 18.
In this scenario, the demand rate is given as a Poisson distribution with a mean of 6.5. The holding cost is $5 per part, and the unit cost under regular, semiannual shipment is $32 per part, while the cost of an emergency shipment is $50 per part.
Since we know that orders are placed semiannually, we need to find the order quantity that will last for six months. To do this, we can divide the total annual demand by 2. Therefore, the annual demand for part 1aa-66 is 6.5 x 2 = 13.
Now, we can use the EOQ formula to find the optimal order quantity:
EOQ = √(2DS/H)
Where D is the demand rate, S is the ordering cost, and H is the holding cost.
Plugging in the values, we get:
EOQ = √(2 x 13 x $32 / $5) = √332.8 ≈ 18.23
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b. calculate the mean and standard deviation of the number of people with blood type a-positive in 100 randomly selected us people using the binomial model. use r or a calculator.
Answers
The mean and standard deviation of the number of people with blood type a-positive in 100 randomly selected is μ=85, σ=3.5707
What is meant by standard deviation?The standard deviation is a statistic that measures the amount of variation or dispersion of a group of values.
Standard deviation is usually abbreviated SD and is most commonly represented in mathematical texts and equations by the lower case Greek letter (sigma) for population standard deviation or the Latin letter s for sample standard deviation.
A low standard deviation indicates that the values are close to the mean of the set (also known as the expected value), whereas a high standard deviation indicates that the values are spread out over a broader range.
Given, The population proportion of success is p=0.85
And also given that the sample size is n=100
b) The population mean is:
μ=np
μ=100(0.85)
μ=85
Therefore, mean=85
And the population standard deviation is:
σ=√np(1-p)
σ=√100(0.85)(1-0.85)
σ=3.5707
Therefore, standard deviation=3.5707
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The complete question is:
" Rh - positive blood appears in 85% of the population in the USA. a) Verify that it's possible to use the normal approximation to binomial distribution if a sample size is 100 randomly selected people. b) Find the mean and standard deviation of the normal distribution."
Bob busted a nut in sally what is sally A. Pregnant or B. Dead because she went kaboom
Answers
Answer:
Step-by-step explanation:
I think its A ∞
Answer: A. Pregnant
Step-by-step explanation: I do not think she went kaboom.
Find the solution of the system of equations
shown on the graph.
Answers
Answer:
(0, 3)
Step-by-step explanation:
The solution is the point of intersection
Hard to see from the picture
It looks like (0, 3)
Select the correct answer pls!!
The population of deer in a forest is currently 800 individuals. Scientists predict that this population will grow at a rate of 20 percent per year.
Based on this prediction, about how many years will it take for the population to double in size?
Use the equation P = P.(1 + r)
in which Po represents the initial population size, rrepresents the growth rate, trepresents the number
of years, and Prepresents the final population size.
A.
5.0 years
B.
1.8 years
OC. 0.3 year
OD.
3.8 years
Answers
Answer:
35 years
Step-by-step explanation:
Given that:
Current deer population, P0 = 800
Growth rate = 20% yearly
For the population to double in size, P = 2 * P0 = 2 * 800 = 1600
t = number of years
Using the relation :
P =P0(1 + r)^t
1600 = 800(1 + 0.2)^t
1600 / 800 = (1.02)^t
2 = (1.02)^t
t = log2 / log(1.02)
t = (0.3010299 / 0.0086001)
t = 35.003069
t = 35 years
Answer:
3.8
Step-by-step explanation:
Alex reads about 200 words per minute. The book he needs to read is 320 pages long and has about 275 words per page. How many hours must he read if he has 7 days to read the entire book?
[ Please don't only do the answer, I have more questions like this and giving the steps would really help a lot !! Thank you! ]
Answers
Answer:
7.3333 hours
Step-by-step explanation:
if im wrong oh well lol 275x320=88000 divided by 200 =440 divided by 60=7.3333
ali needs to solve the equation x^2 + 6x + 22 = 0 by completing the square. which pair of steps is the most efficient way to begin?
a. x^2 + 6x + 9 = -22 + 9
b. x^2 + 6x + 36 = -22 + 36
c. x^2 + 6x + 3 = -22 + 3
d. x^2 + 6x + 81 = -22 + 81
Answers
Answer:
a. x² + 6x + 9 = -22 + 9
Step-by-step explanation:
they moved the 22 to the right by subtracting it. this leaves a binomial on the left side, which if what you want to solve it.
then they completed the square by dividing b (6) by 2 = 3. then squaring 3 to get 9.
if you added 9 to the left, then you have to add 9 to the right, therefore resulting in -22 + 9.
Answer:
In TTM/Imagine Math it is top left or a.
Step-by-step explanation:
Solve for X ...........
Answers
Answer:
x = 46
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
2(2 + x) = 6(6 + 10)
2(2 + x) = 6 × 16 = 96 ( divide both sides by 2 )
2 + x = 48 ( subtract 2 from both sides )
x = 46
PLEASE HELP ME FOR THIS I NEED IT QUICK!!
The price of 6 packets of tea is same as the price of 4 packets of coffee. How many packets of tea are required to exchange 20 packets of coffee?
Answers
Answer:
The answer is 30
Step-by-step explanation:
Suppose the price per pack of tea is x and the price of coffee per pack is y
Then
\(6x = 4y \\ when \: 20y = 5 \times 4y = 5 \times 6x \\ = 30x\)
We need 30 teabags to exchange for 20 coffee bags