f-1(x) = (3х – 5)2 + 12

Answer:

11

Step-by-step explanation:

If i am correct n= the days so with the days adding up day 10 juan would have 55 of the 100 candies, day 11 he would have 66. The statement said at least 64, so it would have to be 64 or the closet amount to 64 but it cannot be lower than 64. So there for 66 is the closest to the given amount, and in order for juan to get 64 he would need to take candies out for 11 days.

The probability that a basketball player makes all four of his free throws when the probability of making one is 80% is 0.4096.

This is calculated using the binomial probability formula, which states that the probability of k successes in n trials is given by the following:

P(k successes in n trials) = \((n!/(k!(n-k)!))\timespk(1-p)(n-k)\)

In this case, the probability of making a single free throw is 80% (0.8),

so we can plug this into the formula.

We know that the player is taking 4 free throws, so k is 4 and n is also 4.

Plugging these values into the formula, we get:

P(4 successes in 4 trials) = \((4!/(4!(4-4)!))\times 0.84(1-0.8)(4-4) = 0.4096\)

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Answer:

the two integers are -11 and -13

Step-by-step explanation:

x = smaller integer

x+2 = larger integer

equation would be the product of them:

x(x+2) = 143

this simplifies to \(x^{2}\) + 2x = 143

you can subtract 143 from each side to get this quadratic equation:

\(x^{2}\) + 2x - 143  = 0

two numbers whose product is 143 and whose difference is 2 are -11 and -13

Answer:

-11, then the bottom one is 13.

Step-by-step explanation:

edge2022

Answer:

25.28

Step-by-step explanation:

Answer:

25.28

Step-by-step explanation:

Answer:

V≈1608.5

Step-by-step explanation:

Answer:

See my picture below for the answer.

Step-by-step explanation:

If you look at the unit circle and locate 240 degrees.  You will see an ordered pair.  The first number -1/2 is the cos of 240 and the second number is the sin.

Answer:

it’s the square root of 3, divided by 2 (sorry, can’t type any special characters at the moment)

Step-by-step explanation:

-240 = 120 because you measure negative angles clockwise starting at 0.

Using unit circle, value of sin for an angle is the 2nd number

x≥ 0 , everthing to the right of the y-axis

y≥ 0 , everthing above the x-axis

So far you are in quadrant I of the x-y plane

y ≤ 3 , everthing from the above, but also below the horizontal line y = 3

lastly y ≤ -x + 5

sketch a line leaning 45° to the left with a y-intercept of 5, shade in everthing below that line

My diagram has a simple trapezoid consisting of a

rectangle with a right-angled triangle attached

now our Objective Function is

C = -5x + 3y , which is a line with slope 5/3

letting that line go through the origin, let it slide parallel to itself over the shaded region until you reach the farthest point from the origin.

On my diagram that looks like (5,0)

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

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

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

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

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

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

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

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

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

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

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

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

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

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

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

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

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

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

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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The equation of line become y = (-x/2) + 3.

According to the statement

We have to find the equation of the line from the given details.

So, For this purpose, we know that the

Point slope form is that the equation of a line within the form y − y1 = m(x − x1) where m is that the slope of the road and (x1, y1) are the coordinates of a given point on the road.

Then

Here, we are required to search out the equation of the road that passes through the purpose (4,1) and is

perpendicular to the road 2x - y = 4.

The equation of the road is: y = (-x/2) + 3

First, the merchandise of the slopes of two perpendicular lines is -1.

Therefore, M1 × M2 = -1.

By rearranging the equation 2x - y = 4 to mimic the equation of a straight line; y = mx + c.

we have, y = 2x + 4 and clearly slope, m1 = 2.

Therefore, since M2 = -1/M1 from above;

M2 = -1/2

Therefore, the equation of the specified line is given by;

M2 = (y - y1)/(x - x1)

where, M2 = -1/2, y1 = 1 and x1 = 4.

Ultimately, -1/2 = (y - 1)/(x - 4)

The equation of the line is then given as;

y = (-x/2) + 3.

Hence, The equation of line become y = (-x/2) + 3.

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Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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Answer:

angle 2 = 38° { because they are corresponding angles ,so they are equal }

Answer:

Step-by-step explanation:

∠2 = 38    {corresponding angles}

A pair of angles on the same side of the transversal, one of which is and interior angle and the other one is an exterior angles, but do not form a linear pair, is known as corresponding angles

To solve quadratic equation using factorisation

(a)

(b)

(c)

Answer:

Step-by-step explanation:

x | y

9 | 15

7 | 11

1 | -1

0 | -3

Answer:

I have included a screenshot of my test. It shows I got it wrong but has the correct answer as well. Good luck I hope my mistakes help someone.

Step-by-step explanation:

The area of the rectangular picture frame that is 5/6 feet long and \(1\frac{2}{3}\) feet wide is  \(1\frac{7}{18}\) ft²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, Jackie bought a rectangular picture frame that is 5/6 feet long and \(1\frac{2}{3}\) feet wide.

We need to find its area,

We know that, the area of the rectangle = length × width

Here,

Length = 5/6 ft

Width =  \(1\frac{2}{3}\) ft

Area =  \(1\frac{2}{3}\)  × 5/6

= 5/3 × 5/6

= 25/18

= \(1\frac{7}{18}\) ft²

Hence, the area of the rectangular picture frame that is 5/6 feet long and \(1\frac{2}{3}\) feet wide is  \(1\frac{7}{18}\) ft²

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Answer:

c: 70

Step-by-step explanation:

Answer:

f(x)=x²-2x-2

Step-by-step explanation:

f(x)=ax²+bx+c

f(0)=-2 => c= -2

f(1)= -3=> a+b-2=-3; a+b=-1

f(2)= -2; 4a+2b-2=-2; 4a+2b=0; 2a+b=0

a+b=-1 and 2a+b=0

2a+b-(a+b)=0+1=> a=1

2+b=0=> b=-2

f(x)=x²-2x-2

PLEASE, forgive me but I answered this and hopefully what I see is correct. I’m really sorry if this weren’t the real measurements!

Answer:

192 square inches

Step-by-step explanation:

Surface area questions often include the net for easy answering. All you do is just find the area of each face and add them all up:

As you can see, all triangles in this net of a pyramid are the same, so once we find the area of one triangle, we’ll just multiply by 4:

FIND AREA OF ONE TRIANGLE (1/2 x b x h)

1/2 x 8 x 12 = 48 square inches

MULTIPLY BY 4 for SURFACE AREA:

48 x 4 = 192

so the SA is 192 square inches!

brainliest?

Answer:

The base is 12 the height is 8.

Using the formula of finding the area of a triangle: BH x 1/2

8 x 12 x 1/2 = 48 Area of one triangle.

Since there are 4 equilateral triangles we multiply the area of one triangle 4 times since they are all equal.

48 x 4 = 192 in2 is your surface area

(haven't done this in quite a while so make sure to check other answers for more reassurance)

The correct answer is D. (N−2)Σ2/S2.

A chi-square distribution is a probability distribution that arises in statistics, particularly in hypothesis testing and confidence interval estimation. It is defined by its degrees of freedom, which determine the shape of the distribution. In the case of the chi-square distribution, the degrees of freedom are usually denoted by ν (nu).

In the given options, only option D, (N−2)Σ2/S2, corresponds to the formula for calculating the chi-square statistic. Here, N represents the sample size and S represents the sample standard deviation. The numerator, (N−2)Σ2, represents the sum of squared deviations from the mean, adjusted for the degrees of freedom, while the denominator, S2, represents the sample variance.

The chi-square statistic is commonly used in various statistical tests, such as the chi-square test for independence and the chi-square goodness-of-fit test. It follows a chi-square distribution with ν degrees of freedom, where ν is typically equal to N minus the number of parameters being estimated in the statistical model.

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The solution the inequality expression given as 2(7-4k) > 12 or 5 < 0.2(15k + 10) is 0.25 > k > -0.4

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

The inequality expression is given as

2(7-4k) > 12 or 5 < 0.2(15k + 10)

Open the brackets

So, we have

14 - 8k > 12 or 5 < 7.5k + 2

Collect the like terms

So, we have

- 8k > 12 - 14 or 5 - 2 < 7.5k

Evaluate  the like terms

So, we have

- 8k > -2 or -3 < 7.5k

Divide both sides by the coefficient of k

So, we have

k < 0.25 or -0.4 < k

Rewrite as

0.25 > k or k > -0.4

Combine

0.25 > k > -0.4

Hence, the solution is 0.25 > k > -0.4

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Step-by-step explanation:

The equation of the line perpendicular to the line y = -3x + 6 and passing through the point (-2,8) is y = (1/3)x + (10/3).

Answer: Santa Maria to Los Alamos is approximately 2,612,951.6 centimeters.

Step-by-step explanation:

To convert miles to centimeters, we need to use the following conversion factors:

1 mile = 160,934.4 centimeters

So, to find the distance from Santa Maria to Los Alamos in centimeters, we can use the following calculation:

16.25 miles x 160,934.4 centimeters/mile = 2,612,951.6 centimeters

Therefore, the distance from Santa Maria to Los Alamos is approximately 2,612,951.6 centimeters.

1 mile = 160,934 centimeters

16.25 miles = ?

16.25 * 160,934 = ?

16.25 miles = 2,615,184 centimeters

Answer:

$740

Step-by-step explanation:

550 + 2(125) -60 =

550 + 250 - 60

800 - 60 = 740

$740

Answer: 740$

Step-by-step explanation:

125x2= 250, 250-60= 190, 550+190= 740

Answer: - 48 (edit: omg i didnt see the minus)

Step-by-step explanation: i mean, only z multiply x

z = 12

x = 4

zx

= z multiply x

= 12 x - 4

= - 48

^_____^

Answer:

-48

Step-by-step explanation:

zx=12(-4)=-48

Answer:

whats up , whats the question ?

Step-by-step explanation:

The point C shows the 13 miles in the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that On Friday, Leo walked 13 miles.

We have to find the points from A-E which shows this to complete the line graph.

According to the given graph, the point C shows the distance which is 13 miles of friday.

Hence, the point C shows the 13 miles in the given graph.

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a) The range of values of n when it is cheaper to obtain the cleaning service from Company A is < 3 hours.

b) The range of values of n when it is cheaper to obtain the cleaning service from Company B is >3 hours.

The ranges can be computed by equating the alegbraic expressions representing the total costs of Company A and Company B.

The result of the equation shows the value of n when the total costs are equal.

Company   Booking Fee   Hourly Charge

A                        $15                     $30

B                       $30                     $25

Let the number of hours required for a home cleaning service = n

Company A: 15 + 30n

Company B: 30 + 25n

Equating the two expressions:

30 + 25n = 15 + 30n

Simplifing:

15 = 5n

n = 3

Thus, the range of values shows:

When the number of hours required for home cleaning is 3, the two company's costs are equal.

Below 3 hours, Company A's cost is cheaper than Company B's.

Above 3 hours, Company B's cost is cheaper than Company A's.

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Answer:

x=12

Step-by-step explanation:

(x-6)=6

x=12

Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

Answer:

68/100*92= 62.56

No abbi does not pass exam.

Answer:

Yes that is correct

Step-by-step explanation: