Someone please help?

Let x represent the number of tickets that he sold at the local theatre.

From the information given, Seth earns $25 a day and $3 for each ticket he sells at the local theatre. The expression representing the amount earned from selling x tickets in a day is

25 + 3x.

To earn at least $115, it means that the amount he would earn is greater than or equal to $115. the symbol for 'greater than or equal to' is '≥'

Therefore, the inequality representing this scenario is

25 + 3x ≥ 115

To solve the inequality, we would subtract 25 from both sides of the inequality. We have

25 - 25 + 3x ≥ 115 - 25

3x ≥ 90

Dividing both sides of the inequality by 3, we have

3x/3 ≥ 90/3

x ≥ 30

He must sell at least 30 tickets to earn at least $115

The equation with y as the subject is y = x^m / (4x^n - 2)

To solve for y as the subject of the equation, we need to isolate y on one side of the equation. Here's how we can do it,

First, we can rearrange the equation to get all the y terms on one side:

4x^n y - 2y = x^m

Next, we can factor out y from the left-hand side,

y(4x^n - 2) = x^m

Finally, we can divide both sides by (4x^n - 2) to isolate y,

y = x^m / (4x^n - 2)

Therefore, the equation with y as the subject is:

y = x^m / (4x^n - 2)

where m and n are the constants given in the original equation.

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The given question is incomplete, the complete question is:

Hence , write down the equation with y as the subject ( in terms of x ). The value of m and q must be indicated. equation 4x^ny -2y - x^m = 0, m and n are constant

The parametric equation in the form of x and y will be y = 3x/4 + 13/4. And the graph is shown below.

Or any one of a system of parameters either express equal positions of the vertices of curvature as derivatives of one factor or reflects the positions of the locations of a plane as variables of two factors is known as a parametric equation.

The parametric equation is given below.

x = 4t − 3 and y = 3t + 1

Then

x = 4t − 3

t = (x + 3)/4

Put the value of t in equation y = 3t + 1, then we have

y = 3(x + 3)/4 + 1

y = 3x/4 + 9/4 + 1

y = 3x/4 + 13/4

Then the graph of the equation is given below.

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The circulation of F around C is -16. No, F is not equal to V f for some function f. The flux of F across C is -8. No, F is not equal to V x G for any vector field G.

(a) The circulation of F around C is -16.

Using Green's Theorem, we can write the circulation of F as the line integral around the boundary of D:

∮CF · dr = ∬D (∂Q/∂x - ∂P/∂y) dA

where P = 9x + 5y, Q = 2x - 7y, and dr = dx i + dy j.

Taking the partial derivatives, we get:

∂Q/∂x - ∂P/∂y = 2 - 9 = -7.

Thus, the circulation of F around C is:

∮CF · dr = ∬D -7 dA = -7(area of D) = -16.

(b) No, F is not equal to V f for some function f.

If F were equal to the gradient of some scalar function f, then the circulation of F around any closed path would be zero. However, we just calculated that the circulation of F around C is -16, which means F cannot be expressed as the gradient of any scalar function.

(c) The flux of F across C is -8.

Using Green's Theorem, we can write the flux of F across C as the line integral around the boundary of D:

∮CF · ds = ∬D (∂P/∂x + ∂Q/∂y) dA

Taking the partial derivatives, we get:

∂P/∂x + ∂Q/∂y = 9 - 7 = 2.

Thus, the flux of F across C is:

∮CF · ds = ∬D 2 dA = 2(area of D) = -8.

(d) No, F is not equal to V x G for any vector field G.

If F were equal to the curl of some vector field G, then the flux of F across any closed surface would be zero. However, we just calculated that the flux of F across C is -8, which means F cannot be expressed as the curl of any vector field.

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Answer:

Step-by-step explanation:

m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

y - \(y_{1}\) = m( x - \(x_{1}\) )

y = mx + b

~~~~~~~~~~~

(4, 5)

( - 6, 15)

m = (15 - 5) / ( - 6 - 4 ) = - 1

y - 5 = ( - 1)( x - 4 )

y = (- 1) x + 9

Plan a lasts 1/5 of an hour (or 12 minutes) and plan b lasts 29/5 hours (or 5 hours and 48 minutes).

Let's denote the length of plan a by 'a' and the length of plan b by 'b' (measured in hours).

From the problem, we know that:

- On Monday, 3 clients did plan a and 8 clients did plan b. Therefore, the total time spent on plan a on Monday was 3a and the total time spent on plan b on Monday was 8b.

- On Tuesday, we don't know how many clients did each plan, but we do know that the total time spent on both plans was 6 hours.

Putting these together, we can create a system of two equations:

3a + 8b = 7  (total time spent on Monday)

a + b = 6    (total time spent on Tuesday)

We can solve this system by using substitution. Rearranging the second equation, we get:

b = 6 - a

Substituting this expression for b into the first equation, we get:

3a + 8(6 - a) = 7

Simplifying and solving for a, we get: a = 1/5

Substituting this value back into the expression for b, we get:

b = 6 - a = 29/5

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Answer:

I belive the answer is the first graph.

Step-by-step explanation:

When solving the equation as a function, the answer is -3/2.

0-3 = -2/3x - 4

-3 = -2/3x - 4

-9 = -2x - 12

2x = -12 + 9

2x = -3

Divide for: x = -3/2

Answer:

The minimum is y=-5. The max would be y=1

Step-by-step explanation:

because y=5  and the max would be y=1

Answer:

its -4

Step-by-step explanation:

i took the test :)

1. An exponential function to represent the spread of Ben's social media post is \(f(x) = 2(3)^x\)

2. An exponential function to represent the spread of Carter's social media post is \(f(x) = 10(2)^x\)

3. A graph of each function with three points for each curve is shown below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

Based on the table of values, the initial value is 2. Next, we would determine the common ratio (b) as follows;

Common ratio, b = a₂/a₁

Common ratio, b = 6/2 = 3.

Therefore, the required exponential function is given by;

\(f(x) = 2(3)^x\)

Part 2.

For Carter's social media post, we have the following exponential function:

\(f(x) = a(b)^x\\\\f(x) = 10(2)^x\)

Part 3.

In this scenario and exercise, we would use an online graphing calculator to plot the above exponential functions as shown in the graph attached below.

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a. The probability that one of the selected adults wears glasses is 0.323.

b. The expected number of adults not wearing glasses in this selection is 4.

c. The probability that more than three but no more than five of the selected adults will not be wearing glasses is 0.451.

d. The standard deviation of the number of adults not wearing glasses in this selection is 1.385.

(a) To find the probability that one of the selected adults wears glasses, we can use the binomial distribution formula:

P(X = k) = \({}^nC_k\) × \(p^k\) × \((1-p)^{(n-k)}\)

where n is the number of trials (in this case, 10), k is the number of successes (in this case, 1), p is the probability of success (in this case, 0.6), and (1-p) is the probability of failure (in this case, 0.4).

Substituting these values, we get:

P(X = 1) = \({}^nC_k\) × \(0.6^1\) × \(0.4^9\)

= 10 × \(0.6^1\) × \(0.4^9\)

= 0.323

So the probability that one of the selected adults wears glasses is 0.323.

(b) To find the expected number of adults not wearing glasses, we can use the formula:

E(X) = n × (1 - p)

where n is the number of trials (in this case, 10) and p is the probability of success (in this case, 0.6).

Substituting these values, we get:

E(X) = 10 × (1 - 0.6)

= 4

So the expected number of adults not wearing glasses is 4.

(c) To find the probability that more than three but no more than five of the selected adults will not be wearing glasses, we can use the binomial distribution formula again:

P(3 < X < 6) = P(X = 4) + P(X = 5)

Substituting the values using the formula, we get:

P(X = 4) = 10 choose 4 × \(0.4^4\) × \(0.6^6\)

= 210 × \(0.4^4\) × \(0.6^6\)

= 0.250

P(X = 5) = 10 choose 5 × \(0.4^5\) × \(0.6^5\)

= 252 × \(0.4^5\) × \(0.6^5\)

= 0.201

Therefore,

P(3 < X < 6) = P(X = 4) + P(X = 5)

= 0.250 + 0.201

= 0.451

So the probability that more than three but no more than five of the selected adults will not be wearing glasses is 0.451.

(d) To find the standard deviation of the number of adults not wearing glasses, we can use the formula:

SD(X) = √(n × p × (1 - p))

Substituting the values, we get:

SD(X) = √(10 × 0.6 × 0.4)

= 1.385

So the standard deviation of the number of adults not wearing glasses is 1.385.

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Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

a.) The statement P(1) is obtained by substituting n=1 into the equation. So, P(1) would be: 1³ = (1(1 + 1) / 2)²

b.) To show that P(1) is true, we need to prove that both sides of the equation are equal:

Left side: 1³ = 1

Right side: (1(1 + 1) / 2)² = (1(2) / 2)² = (2 / 2)² = 1² = 1

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

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a) The equation is not true for n = 1, so P(1) is false.

b) The positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1

a) To find P(1), we substitute n = 1 into the equation given:

13 = (1(1 + 1) / 2)²

13 = (1 / 2)²

13 = 1/4

The equation is not true for n = 1, so P(1) is false.

b) To complete the basic step of the proof, we need to show that P(1) is true.

However, we have just shown that P(1) is false.

This means that the statement "for the positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1.

Therefore, the proof cannot proceed and is incomplete.

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Answer:

AEFsdgfdhzfddf

Step-by-step explanation:

Answer:

well for starters

the answer you get when you factor it out is 3(x+3)(x+3)

i know that would mean x=-3 but i dont know how the big 3 would effect anything. hope this helps

False.

the given augmented matrix is in reduced row echelon form.

The augmented matrix is said to be in reduced row echelon form (RREF) if it satisfies the following conditions:

1. The first nonzero element in each row (called the "pivot") is 1.
2. The pivot in each row is to the right of the pivot in the previous row.
3. All entries above and below each pivot are zero.

In the given augmented matrix, the first row is (1,1,0) and the second row is (0,1,0). Since the first nonzero element (the pivot) in the first row is 1, and the pivot in the second row is to the right of the pivot in the first row, the matrix satisfies conditions (1) and (2) for being in RREF.

Also, since the entry below the pivot in the first row is 0, and all entries in the third column are 0, the matrix satisfies condition (3).

Therefore, the given augmented matrix is in reduced row echelon form.

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The appropriate regression model depends on the stationarity properties of both the dependent and independent variables, as well as the error term. The researcher can use a standard OLS regression model with first-order differencing of both Y and X.

In the first scenario, both Y and X are I(0), which means they are stationary time series. In this case, the researcher can perform a standard linear regression analysis, as the stationary series would lead to a stable long-run relationship. The answer from this model will be reliable and less likely to suffer from spurious regressions. In the second scenario, Y is I(2) and X is I(0). This implies that Y is integrated of order 2 and X is stationary. In this case, the researcher should first difference Y twice to make it stationary before performing a regression analysis. However, this approach might not be ideal as the integration orders differ, which can lead to biased results.

In the third scenario, Y and X are both I(1) and the error term is I(0). This indicates that both Y and X are non-stationary time series, but their combination might be stationary. The researcher should employ a co-integration analysis, such as the Engle-Granger method or Johansen test, to identify if there is a stable long-run relationship between Y and X. If co-integration is found, then an error correction model can be used for more accurate predictions.

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The limit of the sequence in part (a), given by (5²+1+7²3), is equal to 125. The limit of the sequence in part (b), given by ((n+1)(n −n+1)(3n³ + 2n + 1)(n — 5) +n³), as n approaches infinity, is also equal to 125.

(a) To find the limit of the sequence (5²+1+7²3) as n approaches infinity, we simplify the expression. The term 5²+1 simplifies to 26, and 7²3 simplifies to 22. Therefore, the sequence can be written as 26 + 22, which equals 48. Since this is a constant value independent of n, the limit of the sequence is equal to 48.

(b) To find the limit of the sequence ((n+1)(n −n+1)(3n³ + 2n + 1)(n — 5) +n³) as n approaches infinity, we simplify the expression. We expand the expression to get (n³ + n²)(3n³ + 2n + 1)(n — 5) + n³. Multiplying these terms together, we get (3n⁷ + 8n⁶ - 19n⁵ - 51n⁴ - 51n³ + 26n² + 5n). As n approaches infinity, the highest degree term dominates the sequence. Therefore, the limit of the sequence is equal to 3n⁷. Substituting n with infinity gives us infinity to the power of 7, which is also infinity. Hence, the limit of the sequence is equal to infinity.

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The average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

To determine the average speed during the interval between 1 second and 2 seconds, we need to find the displacement of the object during that time interval and divide it by the duration.

Looking at the graph, we can observe that the object's position increases from approximately 0 meters at 1 second to approximately 8 meters at 2 seconds.

Therefore, the displacement is 8 meters - 0 meters = 8 meters.

The duration of the time interval is 2 seconds - 1 second = 1 second.

To calculate the average speed, we divide the displacement by the duration:

Average speed = Displacement / Duration = 8 meters / 1 second = 8 m/s.

Therefore, the average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

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The expression that represents the value of sin C - cos C is s-r

From the triangle ABC, since sin B = r and cos B = s.=, hence;

If m<C is the reference angle, then;

Opposite side= s

Adjacent side = r

Hypotenuse = 1

Sin C = s and cos C = r

Hence the expression that represents the value of sin C - cos C is s-r

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Answer:

The solution to the system is (1, 6)

Step-by-step explanation:

Trust me its correct

pls mark me as brainliest

\(y=35+25=\bf60\)

Answer:

60

Step-by-step explanation:

find x first

180 - 35 - 25 = 120

x = 120

so y = 180-120

total angles in a triangle is 180

straight line also 180

\(\dfrac{n^6}{(n^2)^5}\\\\\\=\dfrac{n^6}{n^{2 \times 5}}\\\\\\=\dfrac{n^6}{n^{10}}\\\\\\=n^{6-10}\\\\\\=n^{-4}\)

Answer:

p(7,-11)

that is the answer of the coordinates

1 mile is equal to 640 acres. Therefore, a lot that is 1/2 mile by 1/2 mile is approximately equal to 160 acres.

To determine the number of acres in a lot that is 1/2 mile by 1/2 mile, we need to convert the measurements to the same unit and then use the conversion factor for acres.

1 mile is equal to 640 acres. Therefore, we can calculate the area in square miles first.

Area = Length x Width = (1/2 mile) x (1/2 mile) = 1/4 square mile

To convert square miles to acres, we multiply by the conversion factor of 640 acres per square mile:

Area in acres = (1/4 square mile) x (640 acres/square mile) = 160 acres

Therefore, a lot that is 1/2 mile by 1/2 mile is approximately equal to 160 acres.

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Answer:45.36 FEET PER SECOND GET IT IG

Step-by-step explanation:

The most accurate determination for the number of feet per second Tyrone traveled on his way to work is D. 45.36 feet per second

Given the parameters:

time= 58.2 minutes

distance= 30 miles

Therefore, we would convert and solve:

(30*5280)/58.2*60

=158400/582*6

=158400/3492

=45.36per sec

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Answer:

Goku died you I just started watching

Answer:

2x-y-1=0

Step-by-step explanation:

.

1- This is a rotation matrix because the determinant is 1 and the transpose is equal to the inverse. 2- The line passing through the origin and the point (1, 1, 1) is the axis of rotation. 3- 120° is the angle of rotation.

1. To show that this is a rotation matrix, we need to check that the matrix satisfies the following properties:
- The determinant of the matrix is 1.
- The transpose of the matrix is equal to its inverse.
The matrix that transforms a vector (x1, x2, x3) into (x2, x3, x1) is:
| 0  1  0 |
| 0  0  1 |
| 1  0  0 |
The determinant of this matrix is:
det = 0×0×0 + 1×1×1 + 0×0×0 - 0×0×1 - 1×0×0 - 0×1×0 = 1
The transpose of this matrix is:
| 0  0  1 |
| 1  0  0 |
| 0  1  0 |
The inverse of this matrix is:
| 0  0  1 |
| 1  0  0 |
| 0  1  0 |
Since the determinant is 1 and the transpose is equal to the inverse, this is a rotation matrix.

2. To find the axis of rotation, we need to find the eigenvector of the matrix corresponding to the eigenvalue of 1. The characteristic equation of the matrix is:
| -λ  1  0 |
| 0  -λ  1 |
| 1  0  -λ | = 0
Expanding the determinant, we get:
-λ × (-λ × (-λ)) - 1 × 1 x 1 = 0
λ = 1
The eigenvector corresponding to the eigenvalue of 1 is:
| -1  1  0 | | x1 | = | 0 |
| 0  -1  1 | | x2 |   | 0 |
| 1  0  -1 | | x3 |   | 0 |
Solving this system of equations, we get:
x1 = x2 = x3
So the eigenvector is:
| 1 |
| 1 |
| 1 |
This means that the axis of rotation is the line passing through the origin and the point (1, 1, 1).

3. To find the angle of rotation, we can use the formula:
cosθ = (trA - 1)/2
Where trA is the trace of the matrix A. The trace of the matrix is:
trA = 0 + 0 + 0 = 0
So the angle of rotation is:
cosθ = (0 - 1)/2 = -1/2
θ = 120°
Therefore, the angle of rotation is 120°.

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