If you have 9/10 of a pound of granola, how many 1/5 pound bags can you fill?

A mathematics topic that van be looked into is how linear algebra, graph theory and optimization can be used on the airline industry.

In this case, to solve the scheduling issues faced by airlines such as planning flights, assigning planes and crews to routes - mathematical techniques can be employed.

By leveraging Linear Algebra, operators can simulate the flow of aircrafts and passengers while Graph Theory can help model flight schedules and aircraft routes.

Simultaneously using Optimization techniques in the problem-solving process can work to streamline various operations resulting in reduced costs and improved efficiency which can increase profit margins.

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The answer to question (a) that is if Ax = b has a solution and \(A^{T}\) y = 0 then y is perpendicular to b

Answer to question (b) that is if \(A^{T}\) y = c has a solution and Ax = 0 then x is perpendicular to c.

a) As Ax = b has a solution for x this means b lies in the column space of A. We also know that \(A^{T}\) y = 0. This means y lies in the orthogonal complement of the column space of A or in the left null space of A. Therefore y is perpendicular to b

b) We see \(A^{T}\) y = c has a solution. This tells us that c lies in the row space of A and also from the given Ax = 0 we can deduce that x lies in the null space of A or the orthogonal complement of row space of A. Therefore evidently  x will be perpendicular to c

Determine whether AT has a row space same as column space of A

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Answer:

=997

Step-by-step explanation:

46-15=31

31×32=992

992+5=997

Answer:  997

Step-by-step explanation:

6 bottles are needed.

Given: 2 tablets 3 times per day

so, total tablets = 6 tablets

Total days = 14

so, total tablets in 14 days = 14 x 6 = 96

and, tablets per bottle= 15

Then, the number of bottles required = 96 /15 =6.4

Hence, 6 bottles are needed.

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The complete question is =

2 tablets 3 times per day 14 day supply 15 tablets needed per bottle. How many bottles are needed

Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.

Step-by-step explanation: To find the implicit derivative,

Differentiate both sides of f(x, y) = 0 with respect to x.

Apply usual derivative formulas to differentiate the x terms.

Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.

Solve the resultant equation for dy/dx (by isolating dy/dx).

Answer:

$12

Step-by-step explanation:

Answer: $12

Step-by-step explanation: 3x4=12

Answer:

8/3

Step-by-step explanation:

Answer:

8/3

Step-by-step explanation:

The sample standard deviation is 7.

We first need mean of the three numbers. The mean of the set is:

= (1035 + 1042 + 1049) / 3

= 1042

Now, we will calculate variance of sample which will give:

Variance = [(1035 - 1042)^2 + (1042 - 1042)^2 + (1049 - 1042)^2] / 2

Variance = [(-7)^2 + 0^2 + 7^2] / 2

Variance = (49 + 49) / 2

Variance = 98 / 2

Variance = 49

Next, we will take square root of variance to derive standard deviation which is:

Standard deviation = √49

Standard deviation = 7.

Full question "What is the standard deviation of 1035, 1042 & 1049".

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The correct value of 2f(a-1) is 2a^2 - 12a + 10.

To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.

Given: f(x) = x^2 - 4x

Substituting (a-1) into the function:

f(a-1) = (a-1)^2 - 4(a-1)

Expanding and simplifying:

f(a-1) = (a^2 - 2a + 1) - (4a - 4)

f(a-1) = a^2 - 2a + 1 - 4a + 4

f(a-1) = a^2 - 6a + 5

Now, we multiply the result by 2:

2f(a-1) = 2(a^2 - 6a + 5)

Expanding:

2f(a-1) = 2a^2 - 12a + 10

Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.

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Answer:

B.$12,100.00

Step-by-step explanation:

it is a pleasure to help you hope you understand if you have a question you can ask me or send me a help request.good luck.

its a m8 a a a  a a aa aaa

Answer:

0.64

Step-by-step explanation:

here is the explanation

The height of the rocket in given time using regression equation is 586 feet.

The regression equation is, y =  7.70961x² + 176.30826x - 12.44515

Given,

A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time, in seconds, and y is height, in feet

That is,

x ; 0.6, 1.3, 1.8, 2.5, 3.1

y ; 108, 218, 285, 368, 436

We have to write a quadratic regression equation for the given set;

The quadratic regression equation is;

y =  7.70961x² + 176.30826x - 12.44515

Now,

We have to find the height at a time of 3 seconds using the equation;

So,

y =  7.70961 x 3² + 176.30826 x 3 - 12.44515

y =  69.38649 + 528.92478 - 12.44515

y = 585.86612

y = 586

Height of the rocket= 586 feet

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Answer:

1,065

Step-by-step explanation:

Multiply 213 by 5 to get your final answer.

An impact study is a systematic examination of the effects, consequences, or outcomes resulting from a particular intervention, policy, program, or event.

Impact study on renewable energy projects: This study would assess the impact of renewable energy initiatives, such as solar or wind farms, on the local economy, job creation, energy security, carbon emissions, and social development. It would analyze the benefits and challenges associated with the adoption of renewable energy sources in the country.

Impact study on land reform policies: This study would examine the consequences of land reform policies on agricultural productivity, rural livelihoods, social cohesion, economic growth, and political stability. It would assess the effectiveness and equity of land redistribution programs and their impact on landowners, farmers, and local communities.

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Answer:

9x-8

Step-by-step explanation:

4x-3+8x-5-3x

12x-3-5-3x

12x-8-3x

9x-8

Answer:   \((\text{x}-2)^2+(\text{y}-3)^2 = 16\)

=========================================================

Explanation:

The general circle template is

\((\text{x}-\text{h})^2+(\text{y}-\text{k})^2 = \text{r}^2\)

(h,k) = center

r = radius

Assuming the center is (2,3) then we have h = 2 and k = 3. We also have a radius of r = 4.

\((\text{x}-\text{h})^2+(\text{y}-\text{k})^2 = \text{r}^2\\\\(\text{x}-2)^2+(\text{y}-3)^2 = 4^2\\\\(\text{x}-2)^2+(\text{y}-3)^2 = 16\\\\\)

Answer:

I'm pretty sure the answer is B

Step-by-step explanation:

Hope this helped :) Sorry if its wrong

Answer:

b

Step-by-step explanation:

I like to think of it as this:

If the circle is filled, it is \(\leq or \geq \\\) (more)

If not, it's < or >

The arrow points in the direction the line is going.

In this graph, the line is going to the left. So is the symbol.

The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

y-y1/y2-y1 = x-x1/x2-x1

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

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Answer:

I'm confused, do u just need a formula?

Answer:

B. More than 90

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

3x-x+= 2x

10+ 12= 22

Answer - 2x+22

In order to determine the height of Jonas in centimeters, proceed as follow:

- Expresses the Jonas height only in inches. Convert 4 ft to inches (use 1 ft = 12 in):

- Then, Joans height is 48 in + 2 in = 50 in.

- Convert 50 in to centimeter (use 1 in = 2.54 cm):

The values of the limits of g(x) as x approaches 33 minus and 33 plus can be determined by examining the table of values and looking for the values of g(x) as x gets closer and closer to 33 from the left and the right sides.

As x approaches 33 from the left (i.e., values of x slightly less than 33), we can see from the table that the values of g(x) decrease from -7 to -16. Therefore, the limit of g(x) as x approaches 33 from the left is -16.

As x approaches 33 from the right (i.e., values of x slightly greater than 33), we can see from the table that the values of g(x) increase from -6.1 to -7. Therefore, the limit of g(x) as x approaches 33 from the right is -7.

Therefore, the correct answer is:

Limit of g(x) = negative 16 as x approaches 33 minus and limit of g(x) = negative 7 as x approaches 33 plus.

Answer:

2

Step-by-step explanation:

1/4 + 1/4 = 1/2

No, the codomain of the transformation X -> AX (where A is a matrix) is the set of all linear combinations of A's columns, but it is not always the same as the set of all linear combinations of A's columns.

The codomain of a transformation X -> axe is the set of all possible transformation outputs, where X is a vector in vector space and an is a matrix.

If a represents a linear transformation, the transformation X -> axe maps a vector X to another vector that is the product of a and X.

In general, the codomain of the transformation X -> axe does not have to be the set of all linear combinations of a's columns. The codomain of X -> axe is simply the set of all vectors in the same vector space as X that are expressible as linear combinations of a's columns.

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Answer:

y =  2x - 1

Step-by-step explanation:

To find out the equation of the line, you will always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:

1. 2 sets of ordered pairs (x, y)

2. Slope (m)

3. Y-intercept (b)

First, we need to choose 2 points from the graph to solve for the slope:

Let (x1, y1) = (0, -1)

(x2, y2) = (3, 5)

Substitute these values into the following slope formula:

\(m = \frac{y2 - y1}{x2 - x1} = \frac{5 - (-1)}{3 - 0} = \frac{5 + 1}{3} = \frac{6}{3} = 2\)

Therefore, the slope (m) = 2.

Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -1) is the y-intercept.  Hence, the y-intercept (b) = -1.

Given our slope, m = 2, and the y-intercept (b) = -1, the linear equation is:

y = 2x - 1

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