The circumference of a bicycle wheel is 15.4 decimetres.If the wheel turned 50 times,what distance did it cover in metres?​

Answer:

240x + 160y ≥ 800

1.40x + 0.50y ≤ 5

Explanation:

Let's call x the number of hamburgers and y the number of cookies.

If he buys x hamburger, the cost will be $1.40x and the calories will be 240x

In the same way, if he buys y cookies, the cost will be $0.50y and the calories will be 160y.

He needs to eat at least 800 calories, so the total calories in hamburgers and cookies should be 800 or more. Then, it can be represented as

240x + 160y ≥ 800

He doesn't want to spend more than $5, so the total cost should be less than or equal to 5, then

1.40x + 0.50y ≤ 5

Therefore, the system of inequality is

240x + 160y ≥ 800

1.40x + 0.50y ≤ 5

Answer: indirect characterization

Step-by-step explanation:

Indirect characterization is a method of indicating what a character is like by revealing their personality through descriptions of their actions, speech, appearance, and interactions with other characters.

(a) The range of c₁ (the objective coefficient of x₁) for which this BFS remains optimal is c₁ ≤ 2.

(b) The range of b₂ (the right-hand side of the second constraint) for which this BFS remains optimal is 3 ≤ b₂ < 4.

(c) The dual price of the second constraint is 0.

(a) The optimality condition for a linear programming problem requires that the objective coefficient of a non-basic variable (here, x₁) should not increase beyond the dual price of the corresponding constraint. In this case, the dual price of the second constraint is 0, indicating that increasing the coefficient of x₁ will not affect the optimality of the basic feasible solution. Therefore, the range of c₁ for which the BFS remains optimal is c₁ ≤ 2.

(b) The range of b₂ for which the BFS remains optimal is determined by the allowable range of the corresponding dual variable. In this case, the dual price of the second constraint is 0, implying that the dual variable associated with that constraint can vary within any range. As long as 3 ≤ b₂ < 4, the dual variable remains within its allowable range, and thus, the BFS remains optimal.

(c) The dual price of a constraint represents the rate of change in the objective function value per unit change in the right-hand side of the constraint, while keeping all other variables fixed. In this case, the dual price of the second constraint is 0, indicating that the objective function value does not change with variations in the right-hand side of that constraint.

Learn more about coefficient

brainly.com/question/1594145

#SPJ11

Answer:

whoses that

Step-by-step explanation:

Answer:

oh no

Step-by-step explanation:

what do I do to stop him

Answer:

Step-by-step explanation:

Tax would be about 2 dollars

With this query, no effort is necessary. measure the tbsp. of all items.

A great source of both phosphorus and calcium, which are essential for the growth and upkeep of strong, strong teeth and bones, is milk. They lower the chance of developing osteoporosis and suffering broken bones later in life. Milk encourages strong bones.

1. Measure \(8\) tbsp. chocolate sauce and add \(2\frac{1}{2}\) cups of milk.

No work is required for this question. It is a simple instruction to measure out 8 tbsp. of chocolate sauce and add it to \(2\frac{1}{2}\) cups of milk.

2. Start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. chocolate sauce.

No work is required for this question. It is a simple instruction to start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. of chocolate sauce.

3. Add \(3\frac{1}{3}\) tbsp. chocolate sauce to \(1\frac{1}{4}\) cups milk.

No work is required for this question. It is a simple instruction to add  \(3\frac{1}{3}\)tbsp. of chocolate sauce to \(1\frac{1}{4}\) cups of milk.

4. For every 1 cup of milk add \(2\frac{1}{2}\) tbsp. of chocolate sauce.

No work is required for this question. It is a simple instruction to add \(2\frac{1}{2}\) tbsp. of chocolate sauce for every \(1\) cup of milk.

5. Stir \(1\) tbsp. chocolate sauce into \(\frac{2}{3}\) cup milk.

No work is required for this question. It is a simple instruction to stir 1 tbsp. of chocolate sauce into \(\frac{2}{3}\) cup of milk.

To know more about milk visit:

https://brainly.com/question/28586503

#SPJ1

The answer is that u does not lie in the plane in \($\mathbb{R}^3$\) spanned by the columns of A.

Given that

\($u = \begin{bmatrix} -2 \\ 12 \\ 4 \end{bmatrix}$ and $A = \begin{bmatrix} 4 & -2 & -3 \\ 5 & 1 & 1 \end{bmatrix}$\).

We are required to determine whether $u$ lies in the plane in $\mathbb{R}^3$ spanned by the columns of $A$ or not.

A plane in \($\mathbb{R}^3$\) is formed by three non-collinear vectors. In this case, we can obtain two linearly independent vectors from the matrix A and then find a third non-collinear vector by taking the cross product of the two linearly independent vectors.

The resulting vector would then span the plane formed by the other two vectors.

Therefore,\($$A = \begin{bmatrix} 4 & -2 & -3 \\ 5 & 1 & 1 \\ 0 & 0 & 0 \end{bmatrix}$$\)

If we perform Gaussian elimination on A, we obtain

\($$\begin{bmatrix} 1 & 0 & 1/2 \\ 0 & 1 & -7/3 \\ 0 & 0 & 0 \end{bmatrix}$$\)

The matrix has rank 2, which means the columns of A are linearly independent. Therefore, A spans a plane in \($\mathbb{R}^3$\) .

We can now take the cross product of the two vectors \($\begin{bmatrix} 4 \\ 5 \\ 0 \end{bmatrix}$ and $\begin{bmatrix} -2 \\ 1 \\ 0 \end{bmatrix}$\) that form the plane. Doing this, we obtain

\($$\begin{bmatrix} 0 \\ 0 \\ 13 \end{bmatrix}$$\)

This vector is orthogonal to the plane. Therefore, if u lies in the plane in \($\mathbb{R}^3$\) spanned by the columns of A, then u must be orthogonal to this vector. But we can see that \($\begin{bmatrix} -2 \\ 12 \\ 4 \end{bmatrix}$ is not orthogonal to $\begin{bmatrix} 0 \\ 0 \\ 13 \end{bmatrix}$\).

Therefore, u does not lie in the plane in \($\mathbb{R}^3$\) spanned by the columns of A.Hence, the answer is that u does not lie in the plane in \($\mathbb{R}^3$\) spanned by the columns of A.

Learn more about vectors :

https://brainly.com/question/24256726

#SPJ11

The unit price of the jump ropes is $0.90 per jump rope.

Unit price is the price at which a single quantity of a product is being sold. This can refer to the price per unit of measure, such as the price per pound, ounce, or pint.

To find the unit price of the jump ropes, we divide the total cost by the number of jump ropes in the pack.

Total cost of the 2-pack of jump ropes: $1.80

Number of jump ropes in the pack: 2

Unit price = Total cost / Number of items

Unit price = $1.80 / 2

Unit price = $0.90

Know more about unit price here:

https://brainly.com/question/10706678

#SPJ11

Answer:

Can you take a picture of the question

180° rotation rule  (x, y) → (–x, –y)..

Triangle XYZ is rotated to create the image triangle X'Y'Z'. On a coordinate plane, 2 triangles are shown.

The first triangle has points X (-5, 3), Y (-2, 3), Z (2, 1).

The second triangle has points X prime (5, - 1), Y prime (5, - 4), Z prime

(3, - 4).

Here the sign of both coordinates has been changed but the magnitude remains same.

So, the rule is  (x, y) → (–x, –y)  which is for 180° rotation.

Hence, the  180° rotation rule  (x, y) → (–x, –y).

Learn more about Triangle at:

https://brainly.com/question/16304905

#SPJ4

Answer:

230??

Step-by-step explanation:

If C =270°

And b=40°

270-40= 230

Actually belive the one on top

Answer:

52 weeks

Step-by-step explanation:

Cousins bank account

52 x 25 = 1300

1855 - 1300 = 555

My bank account

52 x 10 = 520

520 + 35 = 555

Answer:

3:6

Step-by-step explanation:

8:24 and 24:72 reduce down to 1:3. 3:6 is 1:2.

E, 0

The only positive factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Next, remove the odd numbers of that list to get 2, 4, 6, 8, 12, 16, 24, and 48.

No factors fit this description since 24 cannot be larger than itself, and 48 cannot be smaller than itself. Therefore, the answer is zero.

Happy to help, have a great day! :)

Answer:

2.08 this is answer

The correct option regarding the random assignment of babies in the treatment is given as follows:

Random assignment helps us distinguish the effects of the treatments form chance difference between the groups.

Random assignment is used for control in experimental researches, to strengthen the validity of an experiment, distinguish the effects of the treatments form chance difference between the groups.

In these experiments, the effect of an independent variable is studied in one or multiple dependent variables in the study, and then the random assignment increases the validity of these effects.

Thus the correct option is given as follows:

Random assignment helps us distinguish the effects of the treatments form chance difference between the groups.

More can be learned about random assignment at https://brainly.com/question/9363521

#SPJ1

Let's denote the length of the unknown leg as x.

According to the given information, one leg of the right triangle is 8 centimeters shorter than the hypotenuse, which is 42 centimeters. Therefore, we can set up the equation:

x = 42 - 8

Simplifying this equation, we have:

x = 34

The length of the unknown leg is approximately 34 centimeters.\(\)

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

Learn more about equation at

https://brainly.com/question/12998758

#SPJ11

Option C. which corresponds to the probability of approximately 0.0771 that there will be 8 occurrences within a period of ten minutes.

This problem follows a Poisson distribution, where the mean and variance of the distribution are equal to λ. Here, λ = 5, and we need to find the probability of having 8 occurrences in 10 minutes. The probability mass function of Poisson distribution is:

P(X = k) = (e⁽⁻λ⁾ * λᵏ) / k!

Substituting the given values, we get:

P(X = 8) = (e⁽⁻⁵⁾ * 5⁸) / 8!

P(X = 8) ≈ 0.0771

Therefore, the probability that there are 8 occurrences in ten minutes is approximately 0.0771, which corresponds to option C.

This problem follows a Poisson distribution, where the mean and variance of the distribution are equal to λ. Here, λ = 5, and we need to find the probability of having 8 occurrences in 10 minutes. The probability mass function of Poisson distribution is:

P(X = k) = (e⁽⁻λ⁾ * λᵏ) / k!

Substituting the given values, we get:

P(X = 8) = (e⁽⁻⁵⁾ * 5⁸) / 8!

P(X = 8) ≈ 0.0771

Therefore, the probability that there are 8 occurrences in ten minutes is approximately 0.0771, which corresponds to option C.

Learn more about probability here: brainly.com/question/30034780

#SPJ4

The probability of getting 3 is P(A) = 1/216. The probability that sum being 3 is 1 / 216.

When three dice are thrown simultaneously, the probability that the sum is 3 is 1/216. A dice can show a minimum of one and a maximum of six dots, for a total of six sides, giving it a total of 6 * 6 * 6 = 216 possible outcomes.

:When three dice are thrown simultaneously, the probability that the sum is 3 is 1/216. The probability can be calculated as follows:

Let A be the event that the sum is 3. The number of ways to get 3 is 1, i.e., (1, 1, 1). The total number of possible outcomes is 6³,

since each die can have 6 possible outcomes.

Therefore, the probability of getting 3 is P(A) = 1/216.

In conclusion, the probability that sum being 3 is 1 / 216.

To know more about probability visit:

brainly.com/question/31828911

#SPJ11

Answer:

-8, 14

Step-by-step explanation:

The given statement "The this pointer is not automatically passed to static member functions of a class." is false as static member functions can be called without creating an object of the class, and the "this" pointer is used to refer to the current instance of the class. Since no instance is required for static member functions, the "this" pointer is not applicable in this case.

In object-oriented programming, a class is a blueprint for creating objects, and member functions are functions defined within a class that can be called on objects of that class.

Static member functions, also known as class methods, are special member functions that are associated with the class itself rather than any specific object or instance of the class. They are declared using the "static" keyword.

Since static member functions do not operate on specific instances of the class, they do not have access to the "this" pointer. The "this" pointer is a hidden pointer that points to the current object instance, allowing non-static member functions to access the data members and other member functions of the object. However, static member functions do not have this pointer because they are not tied to any specific object.

Static member functions can only access static members of the class, which include static variables and other static member functions. They can be called using the class name itself, without creating an instance of the class. This is because they are not associated with any particular object but rather with the class as a whole.

To learn more about static member function: https://brainly.com/question/31563511

#SPJ11

Answer:

GCF 4, LCM 80

Step-by-step explanation:

Since both 16 and 20 have two 2s as factor, their greatest common factor is 4.

The LCM is found by multiplying all of the remaining factors by the LCM:

16 still has (2 x 2), 20 still has (5), times the GCF (4)  so 2 x 2 x 5 x 4 = 80.

Answer:

45 degree line

Step-by-step explanation:

A distinguishing characteristic of a Keynesian cross diagram is the 45-degree line.

The Keynesian cross diagram is a simple graphical representation of the relationship between aggregate expenditure and real GDP in an economy. It shows the equilibrium level of real GDP where aggregate expenditure equals real GDP, and helps to illustrate the effects of changes in aggregate expenditure or other factors on the economy.

The 45-degree line in the Keynesian cross diagram represents the level of real GDP where aggregate expenditure equals real GDP, or where there is equilibrium in the economy. Points below the 45-degree line indicate that aggregate expenditure is less than real GDP, while points above the 45-degree line indicate that aggregate expenditure is greater than real GDP. The slope of the aggregate expenditure function determines the sensitivity of real GDP to changes in aggregate expenditure.

Answer:

hi

Step-by-step explanation:

the function is c(x) = 31 + 0.18*x

where $31 is a fixed cost, and $0.18 is the cost per mile drive (where the number of miles driven)

So the fixed cost, $31, is the cost per day of rent (this price does not depend on the number x), and the linear cost, $0.18, is the cost per mile driven (because this number is multiplied by x in the function), then the right answer is B: "$31 is the cost per day to rent the car and $0.18 is the cost per mile."

The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

Learn more about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

For a related-samples t test, the source of variability attributed to individual differences that remains after difference scores are computed is typically referred to as residual variance.

This residual variance can be thought of as the unexplained variability that is still present in the data even after accounting for the systematic differences between the two related groups. In order to accurately interpret the results of a related-samples t test, it is important to consider not only the mean difference between the two groups, but also the amount of residual variance that remains in the data. The source of variability attributed to individual differences that remains after difference scores are computed is the "within-subjects variability."

Lastly, we can address the within-subjects variability. Although the difference scores help to reduce the impact of individual differences, there will still be some within-subjects variability. This remaining variability is due to factors such as random error, measurement error, or individual response variability that are not completely accounted for by the difference scores. It is important to consider this variability when interpreting the results of a related-samples t-test.

To know more about variability visit:-

https://brainly.com/question/787279

#SPJ11

a = amplitude

d = shift

Just from looking at the graph, I can tell that d = -3.5

The amplitude = 1/2

We want to find the coefficients of a given function such that the graph of the function matches the given graph.

We will get:

a = -0.5

d = -3

------------------------

We start with the general function:

f(x) = a*cos(x) + d.

Let's analyze the graph

In the figure, we can see that the graph passes through the point (0, -3.5)

This means that our function evaluated in x = 0 is equal to -3.5, then we can write:

f(0) = a*cos(0) + d = -3.5

        a + d = -3.5

We also can see that the distance between a peak and a through is 1 unit, and a, the amplitude, must be (in absolute value) half of that. Also note that when x = 0 we have a local minimum, while for the normal cosine we have a local maximum at x = 0, then a must be a negative number.

Then we have that:

a = - (1/2) = -0.5

Now that we know the value of a we can replace it in the other equation to get:

a + d = -3.5

-0.5 + d = -3.5

d = -3.5 + 0.5 = -3

Then the values of a and d are:

a = -0.5

d = -3

The function is:

f(x) = -0.5*cos(x) - 3

And the graph of this can be seen at the end of the answer, where it does not match exactly because the x-scale in the image is in units of pi, while in my graph is in integers.

If you want to learn more, you can read:

https://brainly.com/question/17954123

Answer:

2

Step-by-step explanation:

so what you gotta do is you have to find the difference between the y an x values, 14 and 12 is 2 and -6 and -5 is 1. then you do change in y/change in x. you get 2. hope it helps.

Answer:

slope=2

Step-by-step explanation:

To find the slope pick any two rows on the table and plug their values into this formula for slope. Attached is an image of my work.