scrap metal buyer pays $3.18 Per square foot of steel. how much can you earn by selling the steel drum below? round your answer to the nearest dollar.

The angle between two vectors a = 5i + j and b = 2i - 4j is approximately 52.125°.

The angle between two vectors can be calculated using the following formula: cosθ = (a · b) / (||a|| ||b||)

where θ is the angle between the vectors, a · b is the dot product of the vectors, and ||a|| and ||b|| are the magnitudes of the vectors.

In this case, the dot product of the vectors is 13, the magnitudes of the vectors are √29 and √20, and θ is the angle between the vectors. So, we can calculate the angle as follows:

cos θ = (13) / (√29 * √20) = 0.943

The inverse cosine of 0.943 is approximately 52.125°. Therefore, the angle between the two vectors is approximately 52.125°.

Visit here to learn more about vectors:    

brainly.com/question/15519257

#SPJ11

1. Definition of a correspondence: A correspondence is a mathematical concept that defines a relation between two sets, where each element in the first set is associated with one or more elements in the second set. It can be thought of as a rule that assigns elements from one set to elements in another set based on certain criteria or conditions.

2. Definition of a fixed point of a correspondence: In the context of a correspondence, a fixed point is an element in the first set that is associated with itself in the second set. In other words, it is an element that remains unchanged when the correspondence is applied to it.

3. Set of (mixed strategy) best replies in normal form games: In a normal form game, the set of (mixed strategy) best replies for a given player i is the collection of strategies that maximize the player's expected payoff given the strategies chosen by the other players. It represents the optimal response for player i in a game where all players are using mixed strategies.

Best reply correspondence: The "best reply correspondence," denoted by B in class, is a correspondence that assigns to each mixed strategy profile the set of best replies for each player. It maps a mixed strategy profile to the set of best responses for each player.

4. Nash equilibrium and fixed point of best reply correspondence: A mixed strategy profile α∗ is a Nash equilibrium if and only if it is a fixed point of the best reply correspondence. This means that when each player chooses their best response strategy given the strategies chosen by the other players, no player has an incentive to unilaterally change their strategy. The mixed strategy profile remains stable and no player can improve their payoff by deviating from it.

5. Brower's fixed point theorem: Brower's fixed point theorem states that any continuous function from a closed and bounded convex subset of a Euclidean space to itself has at least one fixed point. In other words, if a function satisfies these conditions, there will always be at least one point in the set that remains unchanged when the function is applied to it.

6. Proving Brower's theorem using Kakutani's fixed point theorem: Kakutani's fixed point theorem is a more general version of Brower's fixed point theorem. By using Kakutani's theorem, we can prove Brower's theorem as a corollary.

Kakutani's theorem states that any correspondence from a non-empty, compact, and convex subset of a Euclidean space to itself has at least one fixed point. Since a continuous function can be seen as a special case of a correspondence, Kakutani's theorem can be applied to prove Brower's theorem.

7. Conditions for Kakutani's fixed point theorem: Kakutani's fixed point theorem requires several conditions to hold in order to guarantee the existence of a fixed point. These conditions include non-emptiness, compactness, convexity, and upper semi-continuity of the correspondence.

If any of these conditions are not satisfied, the conclusion of Kakutani's theorem does not hold, and there may not be a fixed point.

8. Example without a fixed point: An example without a fixed point can be a correspondence that does not satisfy the condition of closedness in the relative topology of S², where S is the set where the correspondence is defined. This means that there is a correspondence that maps elements in S to other elements in S, but there is no element in S that remains unchanged when the correspondence is applied.

This is a valid counterexample because it shows that even if all other conditions of Kakutani's theorem are satisfied, the lack of closedness in the relative topology can prevent the existence of a fixed point.

To know more about correspondence here

https://brainly.com/question/12454508

#SPJ11

Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

\(t \: = ( \frac{2a - 7}{3} )\)

Step-by-step explanation:

2a+ 2t = 5t + 7

2a - 7 = 5t - 2t

2a - 7 = 3t

t = answer

The formula for t is, \(t=\frac{2a-7}{3}\)

Given expression is,

                              \(2(a + t) = 5t + 7\)

Now solve above expression,

                          \(2(a + t) = 5t + 7\\\\2a+2t=5t+7\\\\2a-7=5t-2t\\\\2a-7=3t\\\\t=\frac{2a-7}{3}\)

Hence, The formula for t is, \(t=\frac{2a-7}{3}\)

Learn more:

https://brainly.com/question/12526075

Answer:

No

Step-by-step explanation:

-3 is supposed to be the answer for b so let's substitute -3 for b.

5(-3)+1=16

-15+1≠16

-15+1 is actually equal to -14

if the -3 would have been positive then it would be correct

The arithmetic average return for the mutual fund that reported a return of 5% every year for the last 3 years is 5%

The arithmetic average return for a mutual fund that reported a return of 5% every year for the last 3 years can be calculated by adding all the returns and dividing by the number of years.

Let’s calculate it in detail below:

To calculate the average return of a mutual fund that reported a return of 5% every year for the last 3 years, the following steps can be followed:

Step 1: Add the returns for the last 3 years. 5% + 5% + 5% = 15%.

Step 2: Divide the total return by the number of years. 15% / 3 = 5%.

Therefore, the arithmetic average return for the mutual fund that reported a return of 5% every year for the last 3 years is 5%.

Arithmetic average return is the sum of returns for each year divided by the number of years. It is calculated to evaluate the performance of the fund over a period of time.

Learn more about: arithmetic average

https://brainly.com/question/28278424

#SPJ11

The data set of favorite sports among 9th graders is univariate and numerical.

Univariate data just has one variable. Since there is only one variable that varies, univariate data analysis is the most straightforward type of analysis.

In bivariate two different variables in this kind of data. The analysis of this kind of data focuses on linkages and causes, and it seeks to understand the causal connection between the two variables.

Given, A set of data of the favorite sports among 9th graders.

Baseball or Softball, Basketball, Lacrosse, Soccer and Field hockey

and the percentage of 9th graders who plays a certain type of sport.

This is a univariate and numerical type of data set not bivariate,

An example of bivariate data is temperature and ice cream sales in the summer season as the sales of ice cream must be related to the temperature.

learn more about data types here :

https://brainly.com/question/14581918

#SPJ1

Answer:

A

Step-by-step explanation:

Cubes are numbers that are multiplied by itself three times so 6 times 6 times 6 is 216

Answer:

C - {2,5,6,7,4,8}

Step-by-step explanation:

It's just because these are the numbers that they don't have in common.

You from irv guessing from your username?

Answer:

Step-by-step explanation:fhh

Answer:

Left-most: (-5,0) Right-most: (3,0)

Step-by-step explanation:

Graph the equation and it would show where the x-intercepts are.

Hope this helped you! (:

Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.

This is referred to as the total number of species or organisms in an area at a given period of time.

Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.

Read more about Population here https://brainly.com/question/25896797

#SPJ1

Answer:

x = 50

Step-by-step explanation:

Since the angle is right = 90°, then

40 + x = 90 ( subtract 40 from both sides )

x = 50

Answer:

\(\boxed{\sf x = 50\ degrees}\)

Step-by-step explanation:

x = 90 - 40    [Complementary angles add up to 90 degrees]

x = 50 degrees

Answer:

\(10 x - 2y\)

Step-by-step explanation:

\(8x−2y+x+x \\ 9x−2y+x \\ 10x−2y\)

To determine the moment of force (F) about point A using the given equations, follow these steps:

1. Identify the position vectors for points B and C relative to point A (rB and rC, respectively).
2. Calculate the cross product of the position vectors and the force vector (F) for both equations:
  - MA = rB × F
  - MA = rC × F

By solving these equations, you will obtain the moment of force about point A. Keep in mind that the cross product will result in a vector, so the moment will have a direction as well as a magnitude.

To know more about moment of force visit:

https://brainly.com/question/25846206

#SPJ11

The pair of hypotheses used to test if the mean of the first population is smaller than the mean of the second population, using independent random sampling, is H0: µ1-µ2 ≥ 0 and HA: µ1-µ2 < 0.

The given pair of hypotheses represents a one-tailed test where we are interested in determining if the mean of the first population (µ1) is smaller than the mean of the second population (µ2).

The null hypothesis (H0) states that the difference between the means, represented by (µ1-µ2), is greater than or equal to zero. This means that there is no significant difference between the means or that the mean of the first population is equal to or greater than the mean of the second population.

The alternative hypothesis (HA) states that the difference between the means, represented by (µ1-µ2), is less than zero. This suggests that there is a significant difference between the means and specifically indicates that the mean of the first population is smaller than the mean of the second population.

By conducting a statistical test, such as a t-test or z-test, and analyzing the results, we can evaluate the evidence and make an inference regarding the relationship between the means of the two populations based on the given pair of hypotheses.

Learn more about hypothesis here:

https://brainly.com/question/30899146

#SPJ11

The statement ''f. if a is an m n matrix whose columns do not span rm, then the equation ax d b is inconsistent for some b in rm '' is TRUE.

Let us assume that a is an m x n matrix that doesn't span rm. It means that the columns of a matrix don't contain all the vectors in the m-dimensional vector space that a is associated with. Therefore, it is not possible to find the linear combination of the columns of a that produces some vectors in rm.

We can also say that a matrix is inconsistent when there is no solution possible for the given linear equation. A system of linear equations is inconsistent when it has no solution.To prove the statement f, we need to prove that if a matrix doesn't span rm, then the given equation ax = b is inconsistent for some b in rm.

Here is a proof:

Let's assume that the columns of the matrix a don't span rm. It means that some vector in rm is not in the column space of a matrix.

Let's assume that vector is v.

Now, let's consider the linear equation ax = v. Since v is not in the column space of matrix a, there is no solution to this equation. It means that the equation ax = v is inconsistent.

Hence, we can say that the statement f. if a is an m n matrix whose columns do not span rm, then the equation ax d b is inconsistent for some b in rm is true

Learn more about matrix at

https://brainly.com/question/29132693

#SPJ11

Step-by-step explanation:

radius of large sphere is R,

then volume is (4/3)*pie*R³

and

the radius of small sphere is r,

then volume is (4/3)*pie*r³

condition is,

volume of larger sphere is twice of the volume of smaller sphere.

then, (4/3)*pie*R³=2*(4/3)*pie*r³;

R³= 2r³

R=(2^⅓)*r

By moving from P0(2,2,6) a distance of ds = .1 units in the direction of 3i+6j-2k, the function f(x,y,z) will change by approximately 1.86.

To find the change in f, we need to calculate the gradient of f at P0, which is given by ∇f = <2x, 2y, 3z>. Plugging in P0, we get ∇f(P0) = <4, 4, 18>.

Next, we need to find the unit vector in the direction of 3i + 6j - 2k, which is given by u = <3/7, 6/7, -2/7>.

The change in f in the direction of u is given by Δf = ∇f(P0) · u · ds, where · denotes the dot product. Plugging in the values, we get Δf ≈ 1.86.

Therefore, by moving from P0(2,2,6) a distance of ds = .1 units in the direction of 3i+6j-2k, the function f(x,y,z) will change by approximately 1.86.

For more questions like Distance click the link below:

https://brainly.com/question/15172156

#SPJ11

The net magnetic field at point P is (6e-5 j + 0.57 k) T in 1, 1, k notation.

We can use the Biot-Savart Law to calculate the magnetic field at point P due to each wire, and then add the two contributions vectorially to obtain the net magnetic field.

The magnetic field due to a current-carrying wire can be calculated using the formula:

d = μ₀/4π * Id × /r³

where d is the magnetic field contribution at a point due to a small element of current Id, is the vector pointing from the element to the point, r is the distance between them, and μ₀ is the permeability of free space.

Let's first consider the wire carrying current I₁ (in the positive X direction). The contribution to the magnetic field at point P from an element d located at position y on the wire is:

d₁ = μ₀/4π * I₁ d × ₁ /r₁³

where ₁ is the vector pointing from the element to P, and r₁ is the distance between them. Since the wire is infinitely long, we can assume that it extends from -∞ to +∞ along the X axis, and integrate over its length to find the total magnetic field at P:

B₁ = ∫d₁ = μ₀/4π * I₁ ∫d × ₁ /r₁³

For the given setup, the integrals simplify as follows:

∫d = I₁ L, where L is the length of the wire per unit length

d × ₁ = L dy (y - 1/2 L) j - x i

r₁ = sqrt(x² + (y - 1/2 L)²)

Substituting these expressions into the integral and evaluating it, we get:

B₁ = μ₀/4π * I₁ L ∫[-∞,+∞] (L dy (y - 1/2 L) j - x i) / (x² + (y - 1/2 L)²)^(3/2)

This integral can be evaluated using the substitution u = y - 1/2 L, which transforms it into a standard form that can be looked up in a table or computed using software. The result is:

B₁ = μ₀ I₁ / 4πd * (j - 2z k)

where d = 5 mm = 5×10^-3 m is the distance between the wires, and z is the coordinate along the Z axis.

Similarly, for the wire carrying current I₂ (in the negative X direction), we have:

B₂ = μ₀ I₂ / 4πd * (-j - 2z k)

Therefore, the net magnetic field at point P is:

B = B₁ + B₂ = μ₀ / 4πd * (I₁ - I₂) j + 2μ₀I₁ / 4πd * z k

Substituting the given values, we obtain:

B = (2×10^-7 Tm/A) / (4π×5×10^-3 m) * (30A - (-30A)) j + 2(2×10^-7 Tm/A) × 30A / (4π×5×10^-3 m) * (15×10^-2 m) k

which simplifies to:

B = (6e-5 j + 0.57 k) T

Therefore, the net magnetic field at point P is (6e-5 j + 0.57 k) T in 1, 1, k notation.

Learn more about notation here:

https://brainly.com/question/29132451

#SPJ11

(a) The required equation as: w₁(x, t) = Kwxx(x, t) where d = 1/a.

(b) The value of 8 is 4π².

(a)We have given,

ut(x, t) = KUxx (x, t) + au(x, t)

Using the product rule, we have

u(x, t) = etw(x, t)

=>ut = etw twt                 

u = etw

=>uxx = etw wxx + etw

wxxt = etw(wxx + wxt)

Here,

KUxx (x, t) = K(etw(x, t))

xx = Ketw wxx                 

au(x, t) = ae(tw)

Substituting the above values in the given equation, we have

etw twt = K etw wxx + ae(tw)

=>etw twt - ae(tw) = Ketw wxx

=> twt - atw = Kwxx

Dividing both sides by etw, we have the required equation as:

w₁(x, t) = Kwxx(x, t)

where d = 1/a

(b)We have, w(x, t) = е-4²t cos 2πx

Put this value in the initial-boundary value problem,

e−4m²t w₁(x, t) = wxx (x, t)

=>e−4m²t (-4)cos(2πx) = -4π² е-4²t cos 2πx

=> 16m² cos(2πx) = 4π² cos(2πx)

=> 4m² = π² => m² = π²/4

=> m = ±π/2

Therefore, the value of 8 is 4π².

Know more about the product rule

https://brainly.com/question/847241

#SPJ11

we have

the solution is the interval {2, infinite)

In a number line the solution is the shaded area at right of a=2 (close circle)

therefore

the answer is

First option

The main difference between trigonal planar and trigonal pyramidal is in their molecular geometry and the arrangement of atoms or groups around a central atom.

In trigonal planar geometry, the central atom is surrounded by three bonding pairs of electrons, resulting in a flat, triangular arrangement. All the bond angles in a trigonal planar molecule are 120 degrees. Examples of molecules with trigonal planar geometry include boron trifluoride (BF3) and formaldehyde (CH2O).

On the other hand, in trigonal pyramidal geometry, the central atom is surrounded by three bonding pairs of electrons and one non-bonding pair (lone pair) of electrons. This arrangement leads to a three-dimensional shape resembling a pyramid, with the lone pair occupying more space than the bonding pairs. The bond angle between the three bonding pairs in a trigonal pyramidal molecule is less than 109.5 degrees due to the repulsion from the lone pair. Ammonia (NH3) and phosphine (PH3) are examples of molecules with trigonal pyramidal geometry.

In summary, the key distinction between trigonal planar and trigonal pyramidal is the presence of a lone pair of electrons on the central atom in trigonal pyramidal geometry, which gives rise to a three-dimensional pyramidal shape. Trigonal planar molecules, in contrast, lack a lone pair and exhibit a flat, triangular arrangement.

Learn more about trigonal pyramidal here

https://brainly.com/question/30459744

#SPJ11

hi! im chimken and i have your answers!!!

1. polygon: is a closed figure where the sides are all line segments.

2. lateral face: a side of three-dimensional figure that is not a base.

3. pyramid: a solid figure that has a polygon for a base and triangles for sides. it is named for the shape of its base.

4. polyhedron: formed by two parallel, congruent, polygonal bases connected by lateral faces that are parallelograms.

5. i don't know this one :(

6. a net: a two dimensional representation of a three-dimensional figure that is unfolded along it's edges so that each face of the figure is shown in two dimensions.

7. face: is a plane figure that serves as one side of a solid figure.

8. i don't know this one :(

9. there are 4 possible answers. rectangular prism, sphere, cone, cylinder: 3D geometric shapes with the basic three-dimensional shapes.

10. triangular prism: with a known base and height of its face.

i hope this helped!!!

braise bingus!

The congruence property illustrated in the example is given as follows:

D. Transitive Property of Segment Congruence.

The Transitive Property of Segment Congruence states that if segment A is congruent to segment B, and segment B is congruent to segment C, then segment A is congruent to segment C.

The segments for this problem are given as follows:

Hence option D is correct.

More can be learned about the Transitive Property of Segment Congruence at https://brainly.com/question/24792133

#SPJ1

The right response is (b), as it increases the minimum sample size required to ensure a given margin of error.

When a tiny sample of data from a relatively large population is estimated, this is what is meant by the term "margin of error" .  The standard deviation, sample size, and desired confidence level are often the factors that control the margin of error.

calculation

Let's take a look at the values in the supplied statement to discover the missing term.

the population's standard deviation is where

m stands for "Margin of Error," and Z stands for "Empirical Value of Z-Score" at a specific confidence level.

As a result, the recommended minimum sample size for a particular degree of confidence is

⇒ (Z×σ)²/m²

The minimal sample size is directly correlated with the population's standard deviation, as shown by the calculation above.

Therefore, when the population "standard deviation" increased, the minimal sample size needed would also "rise."

To know more about margin of error visit :-

https://brainly.com/question/29101642

#SPJ4

Answer:

this is the answer, do u need me to explain?

Standard deviation and median are less affected by extreme scores, while mode is not affected at all since it represents the most frequently occurring value.

The measure of variation affected most by a few extreme scores is the range, as it considers only the difference between the highest and lowest values in a dataset. However, the mean can also be influenced by extreme scores, causing it to deviate from the central tendency. Standard deviation and median are less affected by extreme scores, while the mode is not affected at all since it represents the most frequently occurring value.

learn more about  Standard deviation

https://brainly.com/question/23907081

#SPJ11

The measure of variation affected most by a few extreme scores is the range. The range is the difference between the

highest and lowest values in a data set. Extreme scores significantly increase the range, making it a sensitive measure

of variation.

The measure of variation that is affected most by a few extreme scores is the standard deviation.

The reason for this is that the standard deviation is calculated by taking the square root of the sum of squared

deviations from the mean, and the squared deviations from the mean are particularly sensitive to extreme scores.

On the other hand, the mode, range, median, and mean are less affected by a few extreme scores.

The mode is simply the most frequently occurring value in a dataset and is not affected by extreme scores.

The range is the difference between the highest and lowest values in a dataset and can be affected by extreme scores, but only to a limited extent.

The median is the middle value in a dataset, and it is also not affected by extreme scores unless they are extreme

enough to change the position of the middle value.

The mean is the average value in a dataset, and while it can be influenced by extreme scores, its effect is typically less

pronounced than on the standard deviation.

for such more question on  range

https://brainly.com/question/2264373

#SPJ11

The slope of the line will be,In 10 months the savings will be at,The graph of this line will positive slop.

Sean deposits $275 each month into his savings. He started with $1000 in the account.

The slope of the line will be In 10 months the savings will be at ,The graph of this line will y = savings and x = months

The slope of the line will be,In 10 months the savings will be at,The graph of this line will positive slop.

To learn more about positive slope refer to:

https://brainly.com/question/29187666

#SPJ1

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

Learn more about probability:

brainly.com/question/13604758

#SPJ11

For the regression equation and e the number of kilowatt-hours, in thousands, for a six-room house  is mathematically given as

Y = 1.33-0.667X and  5.3332

Generally, the equation for the  standard deviation  is mathematically given as

\(s\)ₓ =\(\sqrt{\frac{\sum\(X-\=X)^2}{n-1} }\)

= \(\sqrt{\frac{66.9}{10-1} }\)

= 2.72

\(s_y\) = \(\sqrt{\frac{36.4}{10-1} }\)

= 2.01

therefore correlation coff

r = \(\frac{44.6}{(10-1)(2.72)(2.01)}\)

r = 0.9038

In conclusion the regression equation is given

b = r_sy/sx

b = (0.9038)(2.01/2.72)

 = 0.667

intercept

a = 7.4-0.667(9.1)

a = 1.33

The regression equation is

Y = 1.33-0.667X

(b) number of kilowatts x = 6 house

Y = 1.33-0.667X

Y = 1.33-0.667(6)

 = 5.3332

Read more about Electric field

https://brainly.com/question/9383604