How many pounds are equivalent to 40 ounces?

S cannot be a basis for \(R^{n }\)

What is Matrix ?

A matrix is a rectangular array of numbers or symbols arranged in rows and columns. Matrices are commonly used in mathematics, physics, engineering, computer science, and other fields to represent systems of linear equations, transformations, and other mathematical objects and operations.

The statement "For each b in  \(R^{m }\), the equation Ax - b has a solution" is equivalent to the following statements:

A. The columns of A span \(R^{m }\)

B. Each b in \(R^{m }\) is a linear combination of the columns of A.

E. The matrix A has a pivot position in each column.

To explain why S cannot be a basis for  \(R^{n }\) , we can use the fact that a set of vectors S = {v1, ..., vk} is a basis for  \(R^{n }\) if and only if the matrix whose columns are the vectors in S is invertible. In this case, since k < n, the matrix whose columns are the vectors in S cannot be invertible because it has more columns than rows.

Therefore, S cannot be a basis for \(R^{n }\).

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Answer:

The option u chose is the correct one

Step-by-step explanation:

So it's...

\( \frac{5\pi}{4} - \frac{\pi}{4} \)

Since the denominators are the same (both of the fractions have 4 on the bottom), you can do simple subtraction to the top while keeping the bottom 4

\(5\pi - \pi = 4\pi\)

Which means the answer is

\( \frac{4\pi}{4} \)

The cost of the DRYER will be:$375

Let's call the cost of the dryer "x". Since the washer costs $57 more than the dryer, the washer costs x + $57.

The total cost of both the washer and the dryer is $807, so we can write an equation to represent this:

x + (x + $57) = $807

Expanding the second term on the left side:

2x + $57 = $807

Subtracting $57 from both sides:

2x = $750

Dividing both sides by 2:

x = $375

So the cost of the dryer is $375 and the cost of the washer is $375 + $57 = $432.

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Answer:

C) 1/2

Step-by-step explanation:

We know that 3/8 cup of brown sugar and 1/3 cup of white sugar are mixed together to make the sugar mixture.

From this sugar mixture, 1/4 cup is set aside for the crumb topping.

To find out how much sugar mixture is used to make the cake, we need to subtract the amount set aside for the crumb topping from the total sugar mixture.

We can start by converting the mixed unit of measurement (brown sugar in cups and white sugar in cups) to a single unit of measurement (cups)

3/8 cup of brown sugar + 1/3 cup of white sugar = (3/8)+(1/3) = 5/12 cup + 4/12 cup = 9/12 cup.

1/4 cup is set aside for the crumb topping.

So, the remaining sugar mixture used to make the cake is 9/12 cup - 1/4 cup = (9/12) - (1/4) = (9-3)/12 = 6/12 cup = 0.5 cup

Answer:

It is one to one function

hope this will help you ☺️☺️

f(x)=2/3x^3-3/2x^2+x+C

Step-by-step explanation:

thus it's B

The center height of the semi-elliptical arch of a bridge with a span of 120 feet and a height of 10 feet at a distance of 10 feet from the center is estimated to be around 10.534 feet.

Let's denote the height of the arch at the center as h. We can use the equation of a semi-elliptical arch to solve for h.

The equation of a semi-elliptical arch is given by:

y = a√(1 - x²/b²)

where:

We are given that the span of the arch is 120 feet, so b = 60. We are also given that the height of the arch at a distance of 10 feet from the center is 10 feet, so we can plug in x = 10 and y = 10 to get:

10 = a√(1 - 10²/60²)

Simplifying, we get:

Therefore, the height of the arch at its center is approximately 10.534 feet.

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The formula used is \($N(t) = N_0 e^{rt}$\). If a new social network has 1000 users currently and at growth rate of 10% per month, it can be predicted that there will be approximately 2452 users in seven and a half months assuming similar exponential growth.

In the formula used in the spreadsheet model for measuring exponential growth i.e. \($N(t) = N_0 e^{rt}$\)

N(t) is the number of cases at time t

N₀ is the initial number of cases

e is the mathematical constant approximately equal to 2.71828

r is the growth rate (expressed as a decimal)

To adapt this formula to predict the number of users of a new social network, we can replace the variables with the appropriate values. For example, if the new social network has 1000 users currently and is growing at a rate of 10% per month, we can write:

N(t) = 1000 x \(e^{rt}$\)

To find the predicted number of users in seven and a half months, we can substitute t = 7.5 into the equation and solve for N(7.5):

N(7.5) = 1000 x \(e^{rt}$\)

N(7.5) ≈ 2452.22

Therefore, we would expect to have approximately 2452 users on the new social network in seven and a half months if it continues to experience similar exponential growth.

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The complete question is :

What is the formula used in the spreadsheet model discussed in this module for measuring exponential growth of an epidemic, and how can it be adapted to predict the number of users of a new social network at a future date assuming similar exponential growth? In particular, if the new social network has 1000 users currently and is growing at a rate of 10% per month, how many users would we expect to have in seven and a half months?

The percent of the variation in the amount of money earned can be explained by differences in the number of hours worked 20.8%.

Given that, the correlation coefficient (r) between the number of hours worked x and the amount of money earned y is 0.456.

The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction, with a value of 1 denoting a perfect positive correlation. A value of -1 shows a perfect negative, or inverse, correlation, while zero means no linear correlation exists.

The percent of the variation in the dependent variable that can be explained by the independent variable is called coefficient of determination, which is r².

In this case, r = 0.456. So r² = 0.456² = 0.208

That means 20.8% of the variation in the amount of money earned can be explained by differences in the number of hours worked.

Therefore, the percent of the variation in the amount of money earned can be explained by differences in the number of hours worked 20.8%.

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The total cost to get 4 orders of fries and 3 drinks is $7.05

The total cost to get ff orders of fries and dd is ($0.93*ff+$1.11*dd)

What is an algebraic expression?

An algebraic expression an expression which is made up of variables and constants, along with algebraic operations such as subtraction, addition, multiplication and division.

In this case, the total cost of fries is cost per fries, which is $0.93 multiplied by the number of fries, ff.

The total cost drinks is the cost per drink which is $1.11 multiplied by the number of drinks ordered, which is dd

Total cost=$0.93ff+$1.11dd

Now to determine the total cost of 4 orders of fries and 3 drinks, we simply substitute for the values of ff,4 and dd,3

Total cost=($0.93*4)+($1.11*3)

Total cost=$7.05

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Answer:

\(2\sqrt{5}\)

Step-by-step explanation:

\(\sqrt{20}\)

20 can be written as a product of 4 and 5.

\(\sqrt{4 \times 5}\)

4 is a perfect square.

\(\sqrt{4} \times \sqrt{5}\)

Square root of 4 is 2.

\(2 \times \sqrt{5}\)

Answer:

b

Step-by-step explanation:

Answer:a81

b4

Step-by-step explanation:

Answer:

it is blocked

Step-by-step explanation:

Answer:

x = \(\frac{92}{9}\) or as a decimal 10.22

Step-by-step explanation:

Step 1 - Put them both into an equation in which it totals 90:

2x - 6 + 7x + 4 = 90

Step 2 - Add the like variables together:

2x + 7x -6 + 4

9x -2 = 90

Step 3 - Add two to each side:

9x -2 + 2 = 90 + 2

9x = 92

Step 4 - Divide both sides by 9 to find x:

\(\frac{9x}{9} = \frac{92}{9}\)

x = \(\frac{92}{9}\) or as a decimal 10.22

Hope this helps!

Answer:

C

Step-by-step explanation:

it would be 2/5 = 4/10 = 40/100 = 0.4 = 40%

Answer:

50(x+5)

Step-by-step explanation:

Answer: 50(x+5)

Step-by-step explanation:

To factor this expression, simply find the GCF of 50 and 250, 50.  Then divide both terms by the GCF(50) to get: 50(x+5)

Hope it helps <3 :D

The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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An estimator is Unbiased if the Expected Value of the estimator is exactly equal to the parameter that it is estimating. The correct answer is A.

An estimator is a statistic used to estimate an unknown population parameter, such as the mean or variance. An unbiased estimator is one that, on average, produces estimates that are equal to the true value of the population parameter being estimated. This means that the expected value of the estimator is exactly equal to the parameter it is estimating.

For example, if we are trying to estimate the population mean μ using a sample mean x', the sample mean x' is an unbiased estimator of μ if the expected value of x' is exactly equal to μ. In other words, if we take many random samples from the population, the average of those sample means will be very close to the population mean.

Unbiasedness is an important property for an estimator to have because it ensures that the estimator is not systematically overestimating or underestimating the population parameter.

An estimator that is biased will tend to consistently overestimate or underestimate the true value of the parameter, which can lead to incorrect conclusions or decisions based on the estimates.

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Answer:

x=−7/8

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

put the total number of boys over the total number of stuedents

10/35 then simplify by dividing top and bottom by 5      2/7

Answer:

2/7

Step-by-step explanation:

10/35

reduce fraction

10÷5=2

35÷5=7

Yes, Set K is a function.

To determine if Set K is a function, we need to check if for every x-value in Set K, there is a unique corresponding y-value.

Set K is defined as {(x, y) | x - y = 5}.

This means that any pair (x, y) in Set K must satisfy the equation x - y = 5.

To test if it is a function, we can consider two scenarios:

If we fix a value for x, is there a unique value for y that satisfies the equation x - y = 5?

If we fix a value for x, say x = 7, we can substitute it into the equation and solve for y:

7 - y = 5

-y = 5 - 7

-y = -2

y = 2

In this case, there is a unique value of y (y = 2) that satisfies the equation x - y = 5 when x = 7.

If we fix a value for y, is there a unique value for x that satisfies the equation x - y = 5?

If we fix a value for y, say y = 3, we can substitute it into the equation and solve for x:

x - 3 = 5

x = 5 + 3

x = 8

In this case, there is a unique value of x (x = 8) that satisfies the equation x - y = 5 when y = 3.

Since for every x-value in Set K, there is a unique corresponding y-value, and vice versa, we can conclude that Set K is indeed a function.

Therefore, Set K is a function.

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Cycling at a speed of 25 km/h on paved surfaces and 10 km/h on off-road areas, Matthew cycled 41 km in 2 hours.To determine for how long Matthew cycled off-road, we first have to find how long he cycled on paved surfaces and off-road and then subtract the duration on paved surfaces from the total cycling duration of 2 hours.

The time spent cycling on paved surfaces = distance / speed = 28 km / 25 km/h = 1.12 hoursThe time spent cycling off-road = total cycling duration - time spent cycling on paved surfaces= 2 hours - 1.12 hours = 0.88 hours or 52.8 minutes Therefore, Matthew cycled off-road for approximately 53 minutes.

Matthew likes cycling and he cycles partly on paved surfaces and partly off-road, through hilly and wooded areas. Matthew cycles at a speed of 25 km/h on paved surfaces and at 10 km/h on off-road surfaces. The question asks for how long he cycled off-road if he cycled 41 km in 2 hours.We first have to find how long he cycled on paved surfaces and off-road, and then we'll subtract the duration on paved surfaces from the total cycling duration of 2 hours.The time taken to cycle on paved surfaces = distance / speed = 28 km / 25 km/h = 1.12 hours.

The time taken to cycle off-road = total cycling duration - time taken to cycle on paved surfaces= 2 hours - 1.12 hours = 0.88 hours or 52.8 minutesTherefore, Matthew cycled off-road for roughly 53 minutes. He spent more time cycling on paved surfaces, about 68% of the total time. using the given rates of speed, we were able to determine the duration for which Matthew cycled off-road, which was 0.88 hours or approximately 53 minutes.

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In statistics, the normal probability distribution is the most often used continuous probability distribution.

A simple mathematical process transforms any value from a classical probability distribution to its normal distribution equivalent, including mean and standard deviation.

To determine the required probability, the normal distribution table is employed.

The geometric, behavioral, and negative binomial probabilities are all common as discrete distributions. The regular, logarithm, exponential, chi-square, beta, t, and F distributions are examples of common continuous distributions.

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560 miles would 35 inches be on the map.

What is distance?

Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given:

The distance between two cities on a map is 25 inches.

The actual distance between the two cities is 400 miles.

We have to find the how many miles would 35 inches be on the map.

As the distance between two cities on a map is 25 inches but the actual distance between the two cities is 400 miles.

⇒ 400/25 = 16 miles would be map in a one inches.

⇒ 16 x 35 = 560 miles would be map in a 35 inches.

Hence, 560 miles would 35 inches be on the map

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Answer:

7/30 of her music library

Step-by-step explanation:

We are looking for 7/10 of 1/3. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply

top × top

and

bottom × bottom

1/3 × 7/10

is 1×7 on top, and

3×10 on the bottom.

= (1×7)/(3×10)

= 7/30

7/30 cannot be simplified, so that is the answer.

The beta of the portfolio, considering $1 with a beta of 3% and $2 with a beta of 7% and a weight of 0.1 (w1), is 6.6%.


The beta of a portfolio measures its sensitivity to overall market movements. To calculate the beta of a portfolio, we need the individual asset weights and betas of each asset. Given that $1 has a beta of 3% and $2 has a beta of 7%, with a weight of 0.1 (w1), we can determine the beta of the portfolio.

To calculate the beta of the portfolio, we use the following formula:

β(portfolio) = (w1 * β1) + (w2 * β2) + ...

In this case, the portfolio contains two assets, so the formula becomes:

β(portfolio) = (w1 * β1) + (w2 * β2)

Substituting the given values:

β(portfolio) = (0.1 * 3%) + (0.9 * 7%)

β(portfolio) = 0.3% + 6.3%

β(portfolio) = 6.6%

Therefore, the beta of the portfolio is 6.6%.

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\([Hello,BrainlyUser]\)

\(\frac{7}{12}\)

Step-by-step explanation:

Well, I think you did it like this: [Forgot the negative sign to 1/216]

\(\frac{1}{4}-2\sqrt[3]{\frac{1}{216}}\)

\(\sqrt[3]{\frac{1}{216}}=\frac{1}{6}\)

\(=\frac{1}{4}-2\cdot \frac{1}{6}=-\frac{1}{12}\)    

What it suppose to be:

\(\frac{1}{4}-2\sqrt[3]-{\frac{1}{216}}\)

\(-2\sqrt[3]-{\frac{1}{216}}=-2*\frac{1}{6}\)

\(=\frac{1}{4}-\left(-2\cdot \frac{1}{6}\right)\)

\(=\frac{7}{12}\)

[CloudBreeze]

Answer:

21a + 17b

Step-by-step explanation:

To simplify, we need to distribute the 9 to the terms inside of the parentheses that it is being multiplied by and 4 to the terms inside of the parentheses that it is being multiplied by like so:

9(a)+9(b)+4(3a)+4(2b)

9a+9b+12a+8b

Add like terms

21a + 17b

Step-by-step explanation:

first, multiply 9 with both a and b also 4 with 3a and 2b

second, collect the variables which means the a's together and the b's together

third, add the variables

finally, since different variables can not be added the answer will be 21a+17b

The quantitative variables that can be identified from the problem are Median age of town, Average weekly sales, and Median income of town.

The units for Median age of town is years, Average weekly sales is dollars, and Median income of town is dollars.The remaining options City, Whether or not the store sells liquor, Type of food, and Town area have not specified the units and therefore are not quantitative variables. Quantitative variables are variables that are measured on a numerical scale. The problem in this question provides a list of options and asks to select the options that identify quantitative variables and specify their units. The following quantitative variables can be identified from the problem:Median age of town: Median age of town is a quantitative variable since it is measured in years. The median age of the town is the middle value of the ages of the population of the town. The unit for median age is years since it is a numerical scale that represents the age of the population in years.Average weekly sales: Average weekly sales is a quantitative variable since it is measured in dollars. The average weekly sales represent the mean sales of a store over a week, which can be calculated by dividing the total sales by seven. The unit for average weekly sales is dollars since it is a numerical scale that represents the currency value of sales.Median income of town: Median income of town is a quantitative variable since it is measured in dollars. The median income of the town is the middle value of the income of the population of the town. The unit for median income is dollars since it is a numerical scale that represents the income value of the population.

The units of quantitative variables are essential as they provide a measure of the scale of the variable. In this problem, the quantitative variables identified were Median age of town, Average weekly sales, and Median income of town. The units of these variables are years, dollars, and dollars, respectively. The remaining options do not specify the units and hence cannot be classified as quantitative variables.

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