Marleigh needs 8.5 ft of canvas. The canvas is priced $2.50 per foot. How much will it cost?

Answer:

$2715

Step-by-step explanation:

Given that 15 food booths were rented out for ‘d’ days at $100 plus $5 per day. On the food booths only, the company will earn 15($100+$5d) = $1500 + $75d Given that 20 game booths were rented out for ‘d’ days at $50 plus $7 per day. On the game booths only, the company will earn 20($50 + $7d) = $1000 + $140d

The total amount that the company is paid is therefore, $1500 + $75d + $1000 + $140d = $2500 + $215d

Therefore , the solution of the given problem of equation comes out to be B has a value of -6.

Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. Instead of a distinct algorithm that divides 12 into two parts and can be used to assess data received from y + 7, normalization in this case yields b + 7.

Here,

The initial line can first be expressed in slope-intercept form as follows:

=> 3x + 6y = 18

=> 6y = -3x + 18

=> y = (-1/2)x + 3

Therefore, the initial line has a slope of -1/2. The negative reciprocal, or 2, is the inclination of the line that is perpendicular to it.

Now that we know the equation of the line parallel to the initial line and passing through the point (3, 0), we can use the point-slope form of a line to determine it:

=> y - 0 = 2(x - 3)

=> y = 2x - 6

So, through position (3, 0), y = 2x – 6 is true.

Y = mx + b, where m = 2 is the slope and b = -6 is the y-intercept, is the slope-intercept version of this equation.

B therefore has a value of -6.

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Stephen's average speed for the round trip was 48 mph.

To find Stephen's average speed, we can use the formula:

Average Speed = Total Distance / Total Time

Let's assume the distance from Stephen's house to his aunt's house is 'd' miles.

On the way to his aunt's house, Stephen traveled at a speed of 60 mph. So the time taken for this leg of the trip is given by:

Time = Distance / Speed = d / 60

On the return trip, Stephen traveled at a speed of 40 mph. So the time taken for this leg of the trip is:

Time = Distance / Speed = d / 40

The total time for the round trip is the sum of the times for the outward and return trips:

Total Time = d / 60 + d / 40

To find the average speed, we divide the total distance by the total time:

Average Speed = Total Distance / Total Time

The total distance for the round trip is 2d (since it's the same roadway for both trips).

Average Speed = 2d / (d / 60 + d / 40)

Simplifying this expression, we get:

Average Speed = 2d / ((3d + 2d) / 120) = 2d / (5d / 120) = 2d * 120 / 5d = 240 / 5 = 48 mph

Therefore, Stephen's average speed for the round trip was 48 mph.

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Answer:

B = 2

Step-by-step explanation:

I used Desmos to get a visual representation to help.

The equation y = 4x + 6 has a y - intercept at (6,0).

The equation y = 4x + 2 has a y - intercept at (2,0) and passes through (1,6).

Hope this helps!

The value of  B = 2 when a line, y=mx+b, passes through the point (1, 6) and is parallel to y=4x+6.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

The equation y = 4x + 6 has a y - intercept at (6,0).

The equation y = 4x + 2 has a y - intercept at (2,0) and passes through (1,6).

Therefore the value of  B = 2 when a line, y=mx+b, passes through the point (1, 6) and is parallel to y=4x+6.

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The difference in the account balances at the end of the loan terms is given as follows:

$1,686.87.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters for the offer 2 are given as follows:

P = 75000, r = 0.035, n = 12, t = 62/12.

Hence the balance of the offer 2 is given as follows:

B = 75000 x (1 + 0.035/12)^(12 x 62/12)

B = $89,842.51.

The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:

91529.38 - 89842.51 = $1,686.87.

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Answer:

j(12) = 17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

j(x) = x + 5

j(12) is x = 12

Step 2: Evaluate

Answer:

-25

Step-by-step explanation:

Answer:

Its the second option

Step-by-step explanation:

If all other values remain constant, an increase in sample size will result in a broader confidence interval when constructing one.

The definition of the MoE, or margin of error, is

MoE = sigma ÷ sqrt(n)

The population standard deviation is represented by sigma. If you don't know sigma, utilize s to get a rough idea of it. The sample standard deviation is denoted by the variable s.

The MoE increases along with the sigma. The width or narrowness of the confidence interval is directly determined by the MoE. A smaller MoE indicates greater confidence with less error, whereas a larger MoE indicates greater net casting but increased error.

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Answer:

6m+ 4

Step-by-step explanation:

2(2m-1) + 2(m+3)

4m - 2 + 2m + 6

6m + 4

Answer: 60

Step-by-step explanation:

Answer:

41 miles a day

Step-by-step explanation:

293 - 129 = 164

164 / 4 = 41

Answer:41 miles per day... I think

Step-by-step explanation:

129/3=43 meaning in the first 3 days they biked 43 miles per day (This part isn't/wasn't necessary but it gives us an idea/range of what we are looking for lol).

293-129=164...so in the last 4 days, they biked 164 miles.

Doing the equation of 164/4 gives us the answer.

164/4=41

Therefore, they biked 41 miles a day every day for the last 4 days of vacation.

Hope this helped lol

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Answer:

dilation (sorry if i got it wrong im trying my best)

Answer:

Rotation

Step-by-step explanation:

It is rotated 180° at a point (which u could draw line of each object with its respective image to find the rotation point)

Answer:

64=4^3

Step-by-step explanation:

4x4x4=64. 4x4x4=4^3 as there are three 4s. Hope it helps!

The linear equation perpendicular to 6x-y=7 and that passes through (-6, -1) is:

y = (-1/6)*x - 2

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Two linear equations are perpendicular if the product between the slopes is equal to -1.

We want to find a line perpendicular to:

6x - y = 7

y = 6x - 7

Where the slope is 6.

Then:

a*6 = -1

a = -1/6

Then our line is something like:

y = (-1/6)*x + b

To find the value of b, we use the fact that our line passes through (-6, -1), then:

-1 = (-1/6)*-6 + b

-1 = 1 + b

-1 - 1  =b

-2  =b

The line is y = (-1/6)*x - 2

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By using implicit enumeration, the 0-1 integer programming model problem can be solved to maximize the objective function subject to the given constraints.

Implicit enumeration is a technique used to solve integer programming problems by systematically evaluating all possible combinations of decision variable values within the feasible region. In this problem, the objective is to maximize the expression 4x₁ + 5x₂ + x₃ + 3x₄ + 2x₅ + 4x₆ + 3x₇ + 2x₈ + 3x₉, where x₁, x₂, x₃, x₄, x₅, x₆, x₇, x₈, and x₉ are binary variables (0 or 1).

The problem is subject to several constraints, such as 3x₂ + x₄ + x₅ ≤ 23, x₁ + x₂ ≤ 1, x₂ + x₄ + x₅ + x₆ ≤ -1, and x₂ + 2x₃ + 3x₇ + x₈ + 2x₉ ≥ 4, among others. These constraints define the feasible region of the problem.

To solve the problem using implicit enumeration, we evaluate all possible combinations of the binary decision variables within the feasible region. We calculate the objective function value for each combination and identify the combination that maximizes the objective function.

Once we have enumerated all possible combinations, we compare the objective function values and select the combination that yields the highest value. This combination represents the optimal solution to the 0-1 integer programming problem.

By applying implicit enumeration to this problem, we can determine the values of x₁, x₂, x₃, x₄, x₅, x₆, x₇, x₈, and x₉ that maximize the objective function while satisfying the given constraints.

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A can have at most n distinct eigenvalues.

Let A be a 22 matrix. We know that the characteristic polynomial p(x) of A has degree 22, and by the Fundamental Theorem of Algebra, it has 22 complex roots, accounting for multiplicity.

Let λ be an eigenvalue of A with eigenvector x. Then by definition, we have Ax = λx. Rearranging, we get (A - λI)x = 0, where I is the identity matrix of size 22. Since x is nonzero, we have that the matrix A - λI is singular, which means that its determinant is zero.

Therefore, we have p(λ) = det(A - λI) = 0, which means that λ is a root of the characteristic polynomial p(x). Since p(x) has 22 roots, there can be at most 22 distinct eigenvalues for A.

However, we are given that A has size 22. By the trace trick, we know that the sum of the eigenvalues of A is equal to the trace of A, which is the sum of its diagonal entries. Since A is 22 by 22, it has 22 diagonal entries, and therefore the sum of its eigenvalues is a sum of 22 terms.

Since the number of distinct eigenvalues is at most 22, and the sum of the eigenvalues is a sum of 22 terms, it follows that there can be at most two distinct eigenvalues for A. This is because the only way to express 22 as a sum of two distinct positive integers is 1 + 21 or 2 + 20, which correspond to two or more eigenvalues, respectively.

Now, let A be an nn matrix. We can use a similar argument to show that the characteristic polynomial of A has degree n, and therefore has at most n complex roots, accounting for multiplicity.

Suppose that A has k distinct eigenvalues, where k is less than or equal to n. Then we can find k linearly independent eigenvectors of A. Since these eigenvectors are linearly independent, they span a k-dimensional subspace of R^n, which we denote by V.

We can extend this set of eigenvectors to a basis of R^n by adding (n-k) linearly independent vectors to V. Let B be the matrix whose columns are formed by this basis. Then by a change of basis, we can write A in the form B^-1DB, where D is a diagonal matrix whose entries are the eigenvalues of A.

Since A and D are similar matrices, they have the same characteristic polynomial. Therefore, the characteristic polynomial of D also has at most n roots. But the characteristic polynomial of D is simply the polynomial whose roots are the diagonal entries of D, which are the eigenvalues of A. Therefore, A can have at most n distinct eigenvalues.

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There is no question, just some graphs, I can not explain if I don't know the question

ok

y = 2x

This is a positive line that increases from left to right, because the number 2 of the equation is positive.

So from the graphs that you send me, the right answer is the second one, it is an increasing line.

A graph increases from left to rigth if it goes up

A graph decreases from left to right if it goes down

The expression that would render the both the sides equivalent is 3x+2-2

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.

Given here: The expression 2+8x-16

To find its equivalent we have an incomplete expression 5(x-3)+1

Now 5(x-3)+1=5x-15+1

                     =5x-14

Thus Adding 3x+2-2 to this expression we get

5x-14+3x+2-2=2+8x-16

Therefore, we can deduce that the missing term must be 3x+2-2

Hence, The missing expression is 3x+2-2

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The Z score for a 90% confidence interval is nearly 1.645.

A confidence interval is a range of values that, with a given degree of certainty, is likely to contain the real value of a population parameter.

For example, a 90% confidence interval means that if we were to take repeated samples of the same size from the same population

To figure the interval estimate for each sample,

Approximately 90% of these intervals would contain the true population parameter.

To find the Z score for a 90% confidence interval,

We can make use of a calculator or a conventional normal distribution table.

The Z score for a 90% confidence interval corresponds to the point on the standard normal distribution where the area to the right of the Z score is 0.05

(As the confidence interval is split evenly into two tails, each with a probability of 0.05).

Utilizing a standard normal distribution table or calculator,

We find that the Z score for a 90% confidence interval is approximately 1.645.

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Answer: (-5, -4)

Step-by-step explanation:

Reflection across y axis flips the sign of x coordinate only

Answer:

the other person is probably correct!

Step-by-step explanation:

The volume generated by rotating the semicircle about its diameter is a sphere that has a volume of approximately 523.6 unit ²

The solid generated when a semicircle is rotated about its diameter is a sphere that has the same radius as the semicircle.

The volume, V, of a sphere can be found using the following equation;

\(V = \frac{4}{3} \cdot \pi \cdot {r}^{3} \)

The radius of the semicircle, r = 5, which gives;

\(V = \frac{4}{3} \times \pi \times {5}^{3} \approx 523.60\)

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If in order to determine an interval for the mean of a population with unknown standard deviation a sample of 58 items is selected. The number of degrees of freedom for reading the t value is .b. 57.

Using this formula to find the number of degrees of freedom

Number of degrees of freedom= Number of observations- 1

Where:

Number of observations =58

Let plug in the formula

Number of degrees of freedom= 58 -1

Number of degrees of freedom= 57

Therefore the correct option is b.

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Answer:

$4.15

Step-by-step explanation:

Let the cost of a cheeseburger be x

Let the cost of a soft pretzels be y

If Mr. Smith goes to the concession stand and buys 2 soft pretzels and 1 cheeseburger for $8.25, this is expressed as;

x + 2y = 8.25 .... 1

Also, if Mr. Martin goes to the same concession stand and buys 1 soft pretzel and 3 cheeseburgers for $13.50, this is expressed as;

3x + y = 13. 50..... 2

The required equations are:

x + 2y = 8.25

3x + y = 13. 50

Find x and y by solving simultaneously:

From 1: x + 2y = 8.25

x = 8.25 - 2y ..... 3

Substitute 3 into 2

3(8.25-2y)+y = 13.50

24.75 - 6y+y = 13.50

24.75 - 5y = 13.50

-5y = 14.50 - 24.75

-5 y = 10.25

y = -10.25/-5

y = 2.05

Since x = 8.25 - 2y

x = 8.25 - 2(2.05)

x = 8.25 - 4.1

x = 4.15

Hence the cost of a cheesburger is $4.15

Answer:

The triangle is a scalene triangle that has all three sides having different lengths

Step-by-step explanation:

The given vertices (and their coordinates) of the triangle are;

A(-1, 3)

B(-3, 5)

C(3, 2)

The equation for finding the lengths of a segment, l, given the coordinates, x, y is presented as follows;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

For segment AB, when, (x₁, y₁) = A(-1, 3) and (x₂, y₂) = B(-3, 5),  we have;

\(l = \sqrt{\left (5-3 \right )^{2}+\left (-3-(-1) \right )^{2}} = 2\cdot\sqrt{2}\)

Length of segment AB = 2·√2

For segment AC, when, (x₁, y₁) = A(-1, 3) and (x₂, y₂) = C(3, 2),  we have;

\(l = \sqrt{\left (2-3 \right )^{2}+\left (3-(-1) \right )^{2}} = \sqrt{17}\)

Length of segment AC = √17

For segment BC, when, (x₁, y₁) = B(-3, 5) and (x₂, y₂) = C(3, 2),  we have;

\(l = \sqrt{\left (2-5 \right )^{2}+\left (3-(-3) \right )^{2}} = 3 \cdot \sqrt{5}\)

Length of segment AC = 3·√5

The triangle is a scalene triangle that has all three sides having different lengths.

Given the system:

y = 3x + 4

y = 2x - 6

3x + 4 = 2x - 6

3x - 2x = -6 - 4

x = - 10

y = 3(-10) + 4

y = -26

(-10, - 26) one solution

Optically active compounds can rotate plane-polarized light in

A - Clockwise rotation

B - Counterclockwise rotation

C - Dextrorotatory

D - Levorotatory

Optically active compounds can rotate the plane of polarization of light, which can be either clockwise or counterclockwise. The direction of rotation is usually expressed as either dextrorotatory (abbreviated as +) or levorotatory (abbreviated as -), depending on whether the compound rotates the plane of polarization to the right or left, respectively.

For example, a compound that rotates the plane of polarization to the right (clockwise) is said to be dextrorotatory (+), while a compound that rotates the plane of polarization to the left (counterclockwise) is said to be levorotatory (-).

Therefore, A corresponds to clockwise rotation, B corresponds to counterclockwise rotation, C corresponds to dextrorotatory, and D corresponds to levorotatory.

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