Jose paid 45.00$ for 5 movie tickets . EACH ticket cost the same amount . What was the cost of each movie ticket in dollars ?

The perm pattern that includes a central rectangle and two sections at each side is the contour pattern.

The contour pattern in a perm involves dividing the hair into three sections, with a rectangular section in the center and two additional sections on each side. The hair is then wrapped around perm rods in a pattern that follows the contour of the head. This pattern is often used to create natural-looking waves or curls.

The other patterns listed - rectangle pattern, spiral bricklay pattern, and alternating oblong pattern - are not typically used in perming hair.

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A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

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Answer:

y = 5x - 3, so M = 5 and C = -3.

Answer:

3. below

<D = 75°

<E = 37°

<F = 68°

4. below

<G = 50°

<H = 80°

<I = 50°

5. below

<A = 55°

<B = 90°

<C = 35°

Step-by-step explanation:

In a triangle, all angles add up to 180°, so we can set up equation accordingly:

3. m<E + m<F + m<D = 180°

6x + 1 + 68 + 13x - 3 = 180

19x + 66 = 180

19x = 114

x = 6°

We can substitute the value of x back into the expressions for each angle:

m<E = 6x + 1 = 6(6) +1 = 36 + 1 = 37°

m<F = 68°

m<D = 13x - 3 = 13(6) - 3 = 75°

4. m<G + m<I + m<H = 180°

2x + 2x + 4x - 20 = 180

8x - 20 = 180

8x = 200

x = 25°

We can substitute the value of x back into the expressions for each angle:

<G = 2x = 50°

<H = 4x - 20 = 4(25) - 20 = 80°

<I = 2x = 50°

5. m<B + m<C + m<A = 180°

90 + 3x + 5 + 5x + 5 = 180

100 + 8x = 180

8x = 80

x = 10°

We can substitute the value of x back into the expressions for each angle:

<A = 5x + 5 = 5(10) + 5 = 55°

<B = 90°

<C = 3x + 5 = 3(10) + 5 = 35°

The largest volume that the box  can have is 02.

equation for volume :

v = x (3- 2x)²

Differentiating using chain rule and product line:

    v' = 1(3 - 2x)² + 2x (3 -2x) (-2)

        = 9 - 12x + 4x² -12x +8x²

        = 9 - 24x +12x²

Finding the critical value where v' = 0

 v' = 0

⇒12x² - 24x +9 =0

⇒3 ( 4x² -8x +3)=0

⇒ 4x² -8x+3 =0

(2x- 3) (2x-1) =0

or, x=3/2 or 1/2

putting the value x= 1/2, we get,

 V = 2

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Answer:

3

Step-by-step explanation:

y=mx+b

b is the y-intercept

OR

Because the y-intercept is (0,y) plug 0 for x

y=3-4(0)

y=3

The volume of the given solid over the indicated region of integration, f(x,y) = 2x + 2y - 5 and R = {(x,y): -4 ≤ x ≤ 1, 3 ≤ y ≤ 6}, is 63 units³.

To find the volume, we will integrate the function f(x,y) over the region R. Follow these steps:

1. Set up the double integral: ∬R (2x + 2y - 5) dA

2. Set up the limits of integration: ∫(from -4 to 1) ∫(from 3 to 6) (2x + 2y - 5) dy dx
3. Integrate with respect to y: ∫(from -4 to 1) [(2xy + 2y²/2 - 5y)] (evaluated from 3 to 6) dx
4. Simplify and evaluate: ∫(from -4 to 1) [6x + 18 - 5(6-3)] dx
5. Integrate with respect to x: [3x² + 18x - 15x] (evaluated from -4 to 1)
6. Simplify and evaluate: (3 + 18 - 15) - (-12 + 72 + 60)
7. Calculate the final result: 6 - (-30) = 36

The volume of the region is 63 units³.

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Answer:

include fourteen department secretaries and the attorney general, plus other top officials chosen by the president.

Step-by-step explanation:

The Cabinet of the United States of America is a government body which includes the vice president along with the heads executive branch. The President of the United States in the executive head of the body.

It mainly consists of the secretaries of 14 departments as well as the attorney general and other officials who are chosen by the President of the US.

Answer:

6.2

Step-by-step explanation:

Answer:

x=2+3√2 or x=2−3√2

Step-by-step explanation:

Answer:

the answer is 357

Step-by-step explanation:

350 + 440 + 400 = 1190

30% of 1190 = 357

May I have brainliest please? :)

Answer:

11.43 ft

Step-by-step explanation:

Mean = sum of low tides / total number of low tides

(20.22 ft + 2.64 ft + 20.22 ft + 2.64 ft.) / 4 = 11.43ft

The definite integral for the area of the surface generated by revolving the curve y = 6x^3 + 2x about the x-axis, over the interval 1 ≤ x ≤ 2, can be set up and evaluated as follows:

∫[1 to 2] 2πy √(1 + (dy/dx)^2) dx

To calculate dy/dx, we differentiate the given equation:

dy/dx = 18x^2 + 2

Substituting this back into the integral, we have:

∫[1 to 2] 2π(6x^3 + 2x) √(1 + (18x^2 + 2)^2) dx

Evaluating this definite integral will provide the surface area generated by revolving the curve about the x-axis.

b) The definite integral for the area of the surface generated by revolving the curve x = 4y - 1 about the y-axis, over the interval 1 ≤ y ≤ 4, can be set up and evaluated as follows:

∫[1 to 4] 2πx √(1 + (dx/dy)^2) dy

To calculate dx/dy, we differentiate the given equation:

dx/dy = 4

Substituting this back into the integral, we have:

∫[1 to 4] 2π(4y - 1) √(1 + 4^2) dy

Evaluating this definite integral will provide the surface area generated by revolving the curve about the y-axis.

By setting up and evaluating the definite integrals for the given curves, we can find the surface areas generated by revolving them about the respective axes. The integration process involves finding the appropriate differentials and applying the fundamental principles of calculus.

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Answer:

92 over 100

Step-by-step explanation:

Answer: Lol, do your homework.

Answer:

SAS

Well I took geometry last year so I don't know how to explain it well but when you move from each Angle/Point it wouldn't make sense for it to be SSS, or AAS, or any other one since there is only one given angle which is 90 degrees and its in between the sides.

The absolute minimum value of the function

\(f(x)=2x3 21x2−48x 6\)

,\(−8≤x≤2\) is -414 at

x = 6.

To find the absolute minimum value of the function

\(f(x) = 2x^3 - 21x^2 - 48x + 6\) in the interval

-8 ≤ x ≤ 2, follow these steps:

1. Determine the derivative of f(x) with respect to x to find critical points:

 \(f'(x) = 6x^2 - 42x - 48\)

2. Set f'(x) to 0 and solve for x to find critical points:

 x = 6, -2

3. Check the function's value at the critical points and the endpoints of the interval:

\(f(-8) = 2560,  f(-2) = 72,  f(6) = -414,  f(2) = -52\)

4. Compare the values and determine the absolute minimum value, Therefore,The absolute minimum value of the function is -414 at x = 6.

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To approximate f'(0.6) using the Second Derivative Midpoint Formula with the given table data points and h = 0.06, follow these steps:

1. Identify the relevant data points: f(0.54), f(0.6), and f(0.66).
2. Apply the Second Derivative Midpoint Formula: f'(0.6) ≈ (f(0.66) - 2f(0.6) + f(0.54)) / (h^2).

Unfortunately, I cannot provide a specific answer without the values for f(0.54), f(0.6), and f(0.66).

Please provide these values, and I will gladly help you complete the calculation.

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Answer:

A: (x = 34, y = -27, z = -1)

Step-by-step explanation:

Plug the variables in. It might be tedious, but it guarantees you get it right.

Let's try A first. 2(34) + 2(-27) + 6(-1) = 8. Is this correct? Yes. However, you gotta plug it in for the other three equations. 5(34) + 6(-27) + 5(-1) = 3. Is this correct? Yes again. One last equation. 5(34) + 6(-27) + 3(-1) = 5. That's correct as well. The answer is A.

In case you still weren't sure if the answer was A or not;

B: 2(33) + 2(-26) + 6(0) = 14. Right away we can see that B will be incorrect.

C: 2(35) + 2(-28) + 6(-2) = 2. Again, incorrect.

D: 2(36) + 2(-29) + 6(1) = 20. Incorrect!

A is the correct answer.

Answer:

Median: 10

Mean: 9

Range: 15

Step-by-step explanation:

Have a good day :)

The slopes of the tangents at the points (1, 1) and (-5, 3) . Hence, the equations of the tangents are  y = 2x - 1 and 13x + 9y - 78 = 0.

Given, x = 3t² + 1, y = 2t³ + 1The point through which the tangents pass is (4, 3).Let the point of contact be (h, k).

Then the slope of the tangent at that point is,dy/dx = (dy/dt)/(dx/dt)Also, the tangent passes through (4, 3).

So, we have:3t² + 1 = 4 .......(1)2t³ + 1 = 3 ........(2)Solving (1) and (2), we get,t = 1, -1

Substituting these values in (1) and (2), we get the points of contact:(4, 3) is the given point. So, we can use (1, 1) and (-5, 3) as the points of contact.

So the slopes of the tangents at the points (1, 1) and (-5, 3) are given by:dy/dx = (dy/dt)/(dx/dt) at (1, 1)

=> 18/9 = 2dy/dx = (dy/dt)/(dx/dt) at (-5, 3)

=> 78/(-54) = -13/9

The equations of the tangents are: y - 1 = 2(x - 1)  => y = 2x - 1  and  y - 3 = (-13/9)(x + 5)  => 13x + 9y - 78 = 0

Hence, the equations of the tangents are  y = 2x - 1 and  13x + 9y - 78 = 0.

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Answer:

15/per 1 ticket

The integral of \((4f(x) - 5x^3)\) dx is equal to\(2x^24 - (5/4)x^4 + C\), where C is the constant of integration.

Given that f(x) =x^23 is an antiderivative of f(x), we can find the integral of (4f(x) - 5x^3) dx as follows:

∫(4f(x) - \(5x^3\))dx

= ∫4(x^23 ) dx - ∫5(\(x^3\)) dx [using linearity of integration]

= 4∫(x^23) dx - 5∫ (\(x^3\)) dx

= 4(2x^24/4 + C1) - 5(\(x^4/4\) + C2) [using the power rule of integration]

= 2x^24 - \((5/4)x^4\) + C, where C = 4C1 - 5C2 is the constant of integration.

Therefore, the antiderivative of (4f(x) - \(5x^3)\) is 2x^24 - \((5/4)x^4\) + C. This means that if we differentiate 2x^24 -\((5/4)x^4\) + C with respect to x, we will get (4f(x) -\(5x^3\)). The constant of integration, C, is not uniquely determined by the given integral, and its value depends on the initial conditions of the problem.

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In linear equation, 96  is the sum of their two numbers .

What are a definition and an example of a linear equation?

Let Alfred take x and Rani take y.

As per given question,

 5x + 2y = 300   .............1

 2x + 3y = 252   ..............2

On multiplying (1) with 3 and equation (2) with 2, we get

  15x + 6y = 900

   4x + 6 y = 504

On subtracting both, we get

  15x + 6y = 900

  4x + 6y = 504

______________________

  11x = 396

     x = 36

Putting  x = 36  in (1), we get

 5 * 36 + 2y = 300

 2y = 300 - 180

 2y = 120

  y = 120/2

  y = 60

Sum of two numbers is 60 + 36 = 96

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The sample size required is 182 families should be interviewed.

To calculate the number of families that should be interviewed to obtain the desired precision and degree of confidence, one must first determine the minimum sample size required to achieve the desired degree of confidence. As the standard deviation of the sample was computed to be $400 with the mean of $60,000.

Sample size formula: n = (Z² * s²) / E²

The formula for the degree of confidence: Z = 2.576

Sample size formula: n = (Z² * s²) / E²

Substituting the values, we get n = (2.576² * $400²) / $90²= 181.49 = 182 families. The sample size required is 182 should be interviewed families.

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1 - there will be increase of  233.33 %  ,  2 - there will be increase of 122.22 % , 3 - there will be decrease of 15 % , 4 - there will be decrease of 55.56 % , 5 - there will be increase of 100%

% is a relative number that is used to represent hundredths of any quantity. Since one percent (1%) equals one tenth of something, 100 percent denotes the entire amount, and 200 percent denotes twice the amount mentioned percentage.

1 - Start : 3 end : 10

  formula for finding percentage increase is = \(\frac{end - start }{start } * 100\)

so substituting value in the formula ;

       that is equal to = \(\frac{10-3}{3} * 100\)

                                 = \(\frac{7}{3} * 100\)

                                 = 233.33% increase

2 - Start : 9  End : 20

      directly substituting the values in the above mentioned formula

                                            = \(\frac{20-9}{9} * 100\)

                                            = \(\frac{11}{9} * 100\)

                                            = 122.22% increase

3 - Start : 100 end : 85

             plugging in the values = \(\frac{85-100}{100}*100\)

                                                   = \(\frac{-15}{100} * 100\)

                                                   = -15% i.e. decrease of 15%

4 -  Start : 45 end : 20

             putting in the values = \(\frac{20-45}{45} * 100\)

                                                = \(\frac{-25}{45}*100\)

                                                = -55.56% i.e. decrease of 55.56 %

5 - Start : 30 end : 60

                  putting in the values = \(\frac{60-30}{30}* 100\)

                                                       = \(\frac{30}{30} * 100\)

                                                       = 100%  increase

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Answer:

hope this helps.

Step-by-step explanation:

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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Answer:

Step-by-step explanation: Using the formula:

distance = speed × time

where speed is in km/h and time is in hours

We have:

distance = 150 km/h × 2 h = 300 km

Therefore, the distance travelled for the journey is 300 km.

The flaw in the proof is that it assumes that if A(A-B) = 0 and A is not equal to zero, then A-B must be equal to zero. However, this is not necessarily true for matrices.

Here is a counterexample:

Let A =

| 2  0 |

| 0  0 |

and B =

| 1  0 |

| 0  0 |

Then A^2 =

| 4  0 |

| 0  0 |

and AB =

| 2  0 |

| 0  0 |

So A^2 - AB =

| 2  0 |

| 0  0 |

Multiplying by A^-1 on the left (since A is not equal to zero, it is invertible) gives:

A(A-B) =

| 2  0 |

| 0  0 |

So A(A-B) = 0. However, A-B =

| 1  0 |

| 0  0 |

which is not equal to zero. Therefore, the assumption that A-B = 0 does not hold, and the proof is invalid.

In conclusion, the fact that A(A-B) = 0 does not imply that A-B = 0 for matrices. Therefore, we cannot conclude that A = B based on the given information.

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