PLEASE Determine the product or quotient.
d) (-3x^3) (4xy)(-2x^2y^2)
e) (-28a^6 / -7a^5)
f) (8z^3)(7z^11)

Answer:

average speed of sprinter will be 10.42m/s

Step-by-step explanation:

distance covered=s=100m

time taken=t=9.67m/s

average speed=10.42m/s

Answer:

\(\large\boxed{x=-\frac{5}{6}}\)

Step-by-step explanation:

f(x) is the same value as y. Therefore, y = 17. We can place this into slope intercept form (except with a defined value for y) and solve for x.

Start by subtracting 7 from both sides. Then, divide by -12 to solve for x. Finally, simplify the fraction.

17 = -12x + 7

10 = -12x

-10/12 = x

-5/6 = x

\(\large\boxed{x=-\frac{5}{6}}\)

The ratio of the RHS to the coefficient of linear programming of x in the first row is 6/1 = 6. In the second row, the ratio is 4/-1 = -4, which is not valid. In the third row, the ratio is 8/2 = 4.

To maximize the expression p=6x+4y, we need to find the values of x and y that satisfy the given constraints and yield the maximum value of p.

We can start by graphing the system of inequalities:

x + 3y ≥ 6

-x + y ≤ 4

2x + y ≤ 8

x ≥ 0

y ≥ 0

This will give us a better understanding of the feasible region of solutions. However, due to the number of constraints and the complexity of their relationships, it might not be easy to graph it manually.

Therefore, we will use the Simplex algorithm, a common method for solving linear programming problems.

First, we will convert the inequalities into equations:

x + 3y + s1 = 6

-x + y + s2 = 4

2x + y + s3 = 8

Where s1, s2, and s3 are slack variables that we introduce to transform the inequalities into equations.

We can rewrite the problem as a maximization problem in standard form:

Maximize p = 6x + 4y + 0s1 + 0s2 + 0s3

Subject to:

x + 3y + s1 = 6

-x + y + s2 = 4

2x + y + s3 = 8

x, y, s1, s2, s3 ≥ 0

We can then create a tableau to solve the problem using the Simplex algorithm:

Copy code

x     y     s1     s2     s3    RHS

1 1 3 1 0 0 6

2 -1 1 0 1 0 4

3 2 1 0 0 1 8

Zj-Cj

0 0 0 0 0 0

The first row represents the coefficients of the first constraint, x + 3y + s1 = 6. The second row represents the coefficients of the second constraint, -x + y + s2 = 4. The third row represents the coefficients of the third constraint, 2x + y + s3 = 8.

The last row represents the coefficients of the objective function, p = 6x + 4y, with Zj-Cj indicating the difference between the coefficients of the objective function and the current basic feasible solution.

To solve the problem using the Simplex algorithm, we need to follow these steps:

Choose the most negative Zj-Cj coefficient.

Select the corresponding column as the entering variable.

Choose the row with the smallest non-negative ratio of RHS to the coefficient of the entering variable.

Select the corresponding row as the leaving variable.

Use row operations to update the tableau.

Repeat until all Zj-Cj coefficients are non-negative.

Using these steps, we can start with the entering variable x, which has the most negative Zj-Cj coefficient of -6.

The ratio of the RHS to the coefficient of linear programing of x in the first row is 6/1 = 6. In the second row, the ratio is 4/-1 = -4, which is not valid. In the third row, the ratio is 8/2 = 4.

For such more questions on linear programing

https://brainly.com/question/14309521

#SPJ11

To maximize the function p=6x+4y subject to the given constraints, we need to graph the feasible region bounded by the inequalities x+3y≥6, −x+y≤4, 2x+y≤8, x≥0, and y≥0. The corner points of this region are (0,2), (2,2), and (4,0).

We then substitute each of these corner points into the objective function p=6x+4y and find that p=12 at (2,2) which is the maximum value of p. Therefore, the maximum value of p is 12 and it occurs at the point (2,2).
To maximize p=6x+4y, subject to the given constraints, follow these steps:

1. Identify the constraints: x+3y≥6, -x+y≤4, 2x+y≤8, x≥0, y≥0.
2. Rewrite the inequalities in slope-intercept form (y=mx+b): y≤(-1/3)x+2, y≥x-6, y≤-2x+8.
3. Graph the inequalities, shading the feasible region where all constraints are satisfied.
4. Identify the vertices of the feasible region: (0,2), (2,2), (3,2).
5. Evaluate p=6x+4y at each vertex: p(0,2)=8, p(2,2)=16, p(3,2)=22.
6. The maximum value of p is 22, which occurs at the point (3,2).

Learn more about  p=6x+4y here: brainly.com/question/31962554

#SPJ11

Answer:

(0, -6) and (8, 0)

\(\dfrac{4}{3}\)

\(y=\dfrac{3}{4}-6\)

Step-by-step explanation:

(a) \(3x-4y=24\)

Let \(x=0\)

\(0-4y=24\\\Rightarrow y=-6\)

Let \(y=0\)

\(3x-0=24\\\Rightarrow x=8\)

Two coordinates are (0, -6) and (8, 0)

(b) Slope is given by

\(m=\dfrac{y_2-y_1}{x_2-x_1}\\\Rightarrow m=\dfrac{0-(-6)}{8-0}\\\Rightarrow m=\dfrac{3}{4}\)

The slope of the equation is \(\dfrac{4}{3}\)

(c)

\(3x-4y=24\\\Rightarrow 4y=3x-24\\\Rightarrow y=\dfrac{3}{4}-6\)

The slope intercept form of the equation is \(y=\dfrac{3}{4}-6\)

The probability of getting a five or higher on the first roll and getting a total of 7 on the two dice is \(\frac{1}{36}\).

What is probability?

Probability is a measure or quantification of the likelihood or chance of an event occurring. It represents the ratio of the favorable outcomes to the total possible outcomes in a given situation. Probability is expressed as a number between 0 and 1, where 0 indicates impossibility (an event will not occur) and 1 indicates certainty (an event will definitely occur).

The total number of possible outcomes when rolling two dice is 6*6 = 36, as each die has 6 possible outcomes.

Now, let's determine the number of outcomes that satisfy both conditions (five or higher on the first roll and a total of 7). We have one favorable outcome: (6, 1).

Therefore, the probability is given by the number of favorable outcomes divided by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes

= \(\frac{1}{36}\)

So, the correct option is A) 1/36.

To learn more about Probability from the link

https://brainly.com/question/13604758

#SPJ4

Answer:

\( \frac{ \sin {}^{3} A - \cos {}^{3} A }{ \sin A - \cos A} \\ \\ { \sf{ = \frac{ {( \sin A - \cos A)}^{3} + 3 \sin A \cos A( \sin A - \cos A)}{ \sin A - \cos A} }} \\ \\ = { {( \sin A - \cos A)}^{2} + 3 \sin A \cos A} \\ { \sf{ = ( \sin {}^{2} A + \cos {}^{2} A) - 2 \sin A \cos A + 3\sin A \cos A}} \\ = { \sf{1 +\sin A \cos A }} \)

#hence proved

The expressions that represent the total weekly wages of Rita is 11r + 32 and of Tina is 11t.

We are given;

Rita and Tina each make $11 an hour working as cashiers at a supermarket.

Last week, Rita worked r hours while Tina worked t hours.

Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage.

We need to find the expressions that represent the total weekly wages of both Rita and Tina.

Let us form an algebraic expression for both one by one;

For Rita:

Number of hours Rita worked for = r

Cost per hour = $ 11

The amount for overtime Rita earned = $32

So, the equation expressing the total weekly wage for Rita = 11r + 32.

For Tina :

Number of hours Tina worked for = t

Cost per hour = $ 11

So, the equation expressing the total weekly wage for Tina = 11t.

Thus, the expressions that represent the total weekly wages of Rita is 11r + 32 and of Tina is 11t.

To learn more about algebraic expression visit:

https://brainly.com/question/28884894

#SPJ1

The required solution would be h = 3Vr²/3.14 for h, where V is the volume of a cone.

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

The volume of the cone (V ) = 1/3πhr²

We have been given that the volume of a cone is (1/3)3.14r²h

We have to determine the solution for h

As per the given question, we have

⇒ V = (1/3)3.14r²h

Multiply by 3 into the above equation,

⇒ 3V = 3.14r²h

Divided by 3.14 into both sides

⇒ 3V/3.14 = r²h

⇒ h = 3Vr²/3.14

Therefore, the required solution would be h = 3Vr²/3.14.

Learn more about the volume of the cone here:

brainly.com/question/1578538

#SPJ1

We need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

To determine Leo's profit for the first day, we need more information than what is provided in the question. The notebook shows the money earned and spent, but the given information stops at "10," without specifying whether it represents money earned or money spent. Additionally, we don't have any other earnings or expenses mentioned in the question.

To calculate the profit, we need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

Learn more about profit from

https://brainly.com/question/29087694

#SPJ11

Answer:

g(-9)+h(-9)=59

the answer is B

Answer:

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = - 120\)

Step-by-step explanation:

By the rule of Integer multiplications,

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = [ (-1) \times (-2) ] \times [(-3) \times (-4)] \times (-5)\)

                                                      \(= [2] \times [12] \times (-5)\)

                                                      \(= -120\)

Learn more about Integer here,

brainly.in/question/54087058

A cross-sectional effect diagram, also known as an axial force-shear force-bending moment diagram or simply an internal force diagram, is a graphical representation that shows the distribution of internal forces (axial force, shear force, and bending moment) along the length of a structural member, such as a beam or column.

To draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure, we need to follow these steps:

Step 1: Identify the type of loadingFor this question, the loading conditions are {N}, {T}, {M}. So, the loading types are axial force, shear force, and bending moment.

Step 2: Draw the cross-sectional diagram of the beam. We need to draw the diagram of the cross-section of the beam in the direction of the forces acting on the beam. In this case, it will be a rectangular beam.

Step 3: Draw the effect diagrams After drawing the cross-sectional diagram, we need to draw the effect diagrams for each loading condition.

The effect diagrams are as follows: 1. Axial force diagram (N):In this case, the axial force is positive (+) which means it is a tensile force. 2. Shear force diagram (T):The shear force is negative (-) from x = 0 to x = 1, which means the shear force is acting downward. It is zero at x = 1 and then becomes positive (+) from x = 1 to x = 2, which means the shear force is acting upward. 3. Bending moment diagram (M):The bending moment is zero at x = 0, becomes negative (-) from x = 0 to x = 1, reaches a minimum at x = 1, and then becomes positive (+) from x = 1 to x = 2.

Learn more about bending movement :https://brainly.com/question/31385809

#SPJ11

Answer: I believe it’s f(x)=4(3)^x-1

Step-by-step explanation:

System of Equations

Given the system of equations:

x + z = 6

2x + 4z = 1

To solve the system by the elimination method, we must make the coefficients of one variable opposite.

It's required to eliminate the z-term which means we must make the coefficients of z opposite on both equations.

The coefficient of z is 4 in the second equation, so to eliminate the variable, we must multiply the first equation by -4 as follows:

-4x - 4z = -24

Now when we add both equations, the z is eliminated.

Answer: Multiply equation A by −4.

Answer:

30

hope it helps

Answer:

I think X is 3. Sorry if it's wrong!

Step-by-step explanation:

5 x 3 = 15 x 10 = 150

Answer:

y = 14

Step-by-step explanation:

2y - 16 = 12

add 16 to both sides:

2y - 16 + 16 = 12 + 16

2y = 28

divide both sides by 2:

2y/2 = 28/2

y = 14

Answer: y = 14 is the solution.

Answer:

do you mean a big mac and a smoothie?

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

f(x) = 7, so:

5 · 7 - 3= 35 - 3 = 32

Answer:

x = 2

Step-by-step explanation:

f(x) = 5x - 3    

7 = 5x - 3

10 = 5x

2 = x

So, x = 2

Answer:

if the ratio is 7/10 then do 10/400 and it will be 28 days

Step-by-step explanation:

To calculate the sales tax on a $15,000 car with a 5% sales tax rate, you convert the percentage into decimal form, and then multiply by the purchase price. This calculation results in $750 making the correct answer option c).

The subject of this question is calculating the amount of sales tax for a purchase, specifically, a car. In this case, the sales tax is given as 5% of the purchase price. The purchase price of the car is $15,000.

Calculating the sales tax involves multiplying the purchase price by the sales tax rate (expressed as a decimal). Therefore, to determine the sales tax on this purchase:

The sales tax on a $15,000 car at a rate of 5% is thus $750. That makes choice c) the correct answer.

https://brainly.com/question/16200743

#SPJ11

Answer:

yes it will be able fit through

Step-by-step explanation:

simply divide 2197 and 3 because you need to multiply 3 number to get volume. For this you divide by 3. you should get 732 ft. This is the height. It will be more than enough to fit through

The time period that the graph represents is the last 400, 000 years on Earth or the time the Modern Humans evolved.

The relationship depicted on the graph is the relationship between carbon dioxide levels in the atmosphere over the years.

The pattern of the graph before 1950 was fluctuating such that carbon dioxide levels would rise and then fall over succeeding years.

The graph is set between 400, 000 years ago and the current day and is meant to show us how carbon dioxide levels have fluctuated over the years in the atmosphere.

It also shows that after 1950, the levels of carbon dioxide in the atmosphere rose to a level that they had not risen to in the past 400, 000 years.

Find out more on carbon dioxide at https://brainly.com/question/30826018

#SPJ1

A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.

Correlation is a statistical technique for measuring and describing the relationship between two variables.

The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.

Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.

Find more on correlation coefficient at : https://brainly.com/question/28213588

#SPJ4

Answer:

its 144

Step-by-step explanation:

The sale price of the backpack is $25.5, the sale price of the soccer ball is $13.005, and the sale price of one jacket is 17.918.

Given:

The sale price of every item in a store is 85 percent of its regular price.

1. The regular price of a backpack is $30.

Then, the sale price = 85% of (the regular price of a backpack )

= 0.85  x ($30)

= $25.5

Hence, the sales price of the backpack = $25.5

2. The regular price of a soccer ball is = $15.30

The sale price of the soccer ball is 85% of its regular price.

Therefore, the sale price = 85% of $15.30

= $13.005

So, the sale price of the soccer ball is $13.005.

3. The regular price of a jacket is $21. 08

The sale price of a jacket is 85% of its regular price.

Therefore, the sale price = 85% of $21. 08

= $17.918

So, the sale price of a jacket is $17.918.

To learn more about the sale price visit: https://brainly.com/question/11700622

#SPJ4

False, The eigenvalues of a matrix A are not same as the eigenvalues of the reduced row echelon form of A.

A matrix's eigenvalues are not the same as those of the matrix's reduced row echelon form, contrary to what is claimed.

This is due to the fact that when a matrix is reduced to its echelon form via row operations, its eigenvalues may not always stay the same. The eigenvalues of a matrix may be different in the reduced row echelon form than they are in the original matrix as a result.

Think about these matrices as an illustration:

Likewise, B's reduced row echelon form is B, and B's eigenvalues are both 1.

A = [1 2; 2 1]

and

B = [1 0; 0 1].

The eigenvalues of a matrix and its reduced row echelon form are thus typically not the same.

Learn more about Matrix:

https://brainly.com/question/9967572

#SPJ4

FALSE. The eigenvalues of a matrix A are NOT the same as the eigenvalues of the reduced row echelon form of A.

Explanation:

Eigenvalues are scalar values that, when multiplied by an eigenvector, produce the same effect as the original matrix A on that eigenvector. Mathematically, for a matrix A and its eigenvector v, Av = λv, where λ is the eigenvalue.

Row echelon form is a matrix transformation using elementary row operations to obtain a triangular form. The reduced row echelon form (RREF) is a further simplified version of the row echelon form.

However, transforming a matrix A to its RREF changes the properties of the matrix, and therefore the eigenvalues of matrix A and its RREF are generally not the same. The eigenvalues are preserved only under specific matrix transformations, such as similarity transformations, which row echelon form is not one of them.

To learn more about Eigen values : brainly.com/question/30967600

#SPJ11