Find the value of x.
110
12
x = [?]

Answer:

Here you go Hope it helps!!

Step-by-step explanation:

The width of the rectangle is 7.2 cm because if you divide 93.6 cm by 13 cm you will get 7.2 cm.

Brainliest please that would be nice of you(:

Answer:

z=30

Step-by-step explanation:

40-10=30

10+10+?=30

30-10-10=10

I'm sorry cuz I don't know how to explain it

Answer:

z = 10

Step-by-step explanation:

10 + 10 + z = 40 - 10

10 + 10 + z = 30

10 + 10 + 10 = 30

since 40 - 10 = 30, then Z has to equal 10 because 10 + 10 + z needs to be 30

As per the given percent error,

A. The accepted board length is between 15.76 feet to 16.24 feet.

B. The board is rejected if the length is less than 15.76 feet.

Percent error:

Basically, the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage is referred as percent error.

Given,

A sawmill cuts boards that are 16 ft long. After they are cut, the boards are inspected and rejected if the length has a percent error of 1.5% or more.

Here we need to find the following:

A. List some board lengths that should be accepted.

B. List some board lengths that should be rejected.

While we looking at the given question, we obtained the following the details,

Sawmill board length =  16 feet

Percent error = 1.5%

Now we have to find the percentage into decimal form, then we get,

=> 1.5 / 100

=> 0.015

Now, the accepted board length is calculated as,

=> 16 x 0.015

=> 0.24feet.

Now, the lowest board length is

=> 16 - 0.24 = 15.76

And the highest board length is

=> 16 + 0.24 = 16.24

So, the accepted board length is between 15.76 to 16.24 feet.

So, if the board length is less than 15.76, then it can't be accepted.

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The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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The evaluated probability that there have been 2 occurrences in ten minutes  is 0.0842, under the condition that the mean number of occurrences in ten minutes is 5.

Here we have to apply  the Poisson distribution formula. The formula is
\(P(X = k) = (e^{-g} * g^k) / k!,\)
Here
X = number of occurrences,
k = number of occurrences we want to find the probability for,
e = Number of Euler's
g = mean number of occurrences in ten minutes.

For the given case, g = 5 since
Therefore,
P(X = 2) = (e⁻⁵ × 5²) / 2!
≈ 0.0842.

Hence,  after careful consideration the  evaluated probability that there are 2 occurrences in ten minutes is  0.0842.

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For (a)  the probability that a person with brown hair also has brown eyes is 37.5%.

Let's calculate the probabilities directly:

Given:

P(Brown Hair) = 40% = 0.4

P(Brown Eyes) = 25% = 0.25

P(Brown Hair and Brown Eyes) = 15% = 0.15

a. Probability that a person with brown hair also has brown eyes:

We want to find P(Brown Eyes | Brown Hair), the probability that a person has brown eyes given that they have brown hair.

Using the formula for conditional probability:

P(Brown Eyes | Brown Hair) = P(Brown Hair and Brown Eyes) / P(Brown Hair)

P(Brown Eyes | Brown Hair) = 0.15 / 0.4 = 0.375 = 37.5%

Therefore, the probability that a person with brown hair also has brown eyes is 37.5%.

b. Probability that a person with brown eyes does not have brown hair:

We want to find P(Not Brown Hair | Brown Eyes), the probability that a person does not have brown hair given that they have brown eyes.

Using the formula for conditional probability:

P(Not Brown Hair | Brown Eyes) = P(Brown Eyes and Not Brown Hair) / P(Brown Eyes)

P(Not Brown Hair | Brown Eyes) = (P(Brown Eyes) - P(Brown Hair and Brown Eyes)) / P(Brown Eyes)

P(Not Brown Hair | Brown Eyes) = (0.25 - 0.15) / 0.25 = 0.10 = 10%

Therefore, the probability that a person with brown eyes does not have brown hair is 10%.

c. Probability that the person has neither brown eyes nor brown hair:

We want to find the probability that a person has neither brown eyes nor brown hair.

P(Neither) = 1 - P(Brown Hair) - P(Brown Eyes) + P(Brown Hair and Brown Eyes)

P(Neither) = 1 - 0.4 - 0.25 + 0.15 = 0.5 = 50%

Therefore, the probability that the person has neither brown eyes nor brown hair is 50%.

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4\(\frac{13}{30}\) is the solution of equation as a mixed number in simplest form.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction. Arithmetic. a number, such as 412 or 4.5, that combines a whole number with a fraction or decimal. Rational numbers encompass all mixed numbers. 315 may be written as 165, making it a logical number. All decimals that either end or start to repeat after a certain point are considered rational numbers. Because 0.2 may be represented as 15, it is a rational number.

Given Data

\(\frac{1}{3}\) + 4.1

\(\frac{1}{3}\) + \(\frac{41}{10}\)

Taking LCM,

\(\frac{10+123}{30}\)

\(\frac{133}{30}\)

4\(\frac{13}{30}\) is the solution of equation as a mixed number in simplest form.

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Answer:

VALUES (5,6,12)

Step-by-step explanation:

Answer:

Step-by-step explanation:

6) 3750

7) 244

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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Answer:

The greater than of -7 is 7. The less than -2 is 2.

Step-by-step explanation:

It's the same distance from both but, the positive number always been greater than negative number.

Both questions have an infinite number of correct answers.

Here are six numbers that are greater than -7:

-6.99999,  -4,  0,  3,  π,  4.00001

Here are six numbers that are less than -2:

-2.00001,  -3,  -π,  -4,  -136,  -201.358

Your speed is 60 miles per hour, when your friends average speed is 50 miles.

A rational function, which is a function that can be represented as the ratio of two polynomials, is a function that may be used in a rational model, which is a mathematical model. Rates of change, growth or decay, and proportions are only a few examples of the many various kinds of real-world events that may be represented using rational models. In order to describe complicated systems or processes, they are frequently employed in disciplines like economics, physics, and engineering. To determine the values of the variables that make the equation true, rational models can be solved using algebraic techniques including factoring, simplification, and cross-multiplication.

Given that, average speed is 10 miles per hour faster than other person.

Then, your speed is = s + 10.

For 180 miles, and 150 miles for friend the equation can be set as:

180/(s+10) = 150/s

We can cross-multiply to simplify:

180s = 150(s+10)

180s = 150s + 1500

30s = 1500

s = 50

Substituting the value in s + 10 = 50 + 10 = 60.

Hence. your speed is 60 miles per hour.

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I did not get Your Question Probably But the way I see it the answer is:

The equation of a circle with center (h, k) and radius r can be written as:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6). To find the radius, we can use the distance formula between the center and the given point (-√28, 3):

r = √((x₂ - x₁)^2 + (y₂ - y₁)^2)

Plugging in the values:

r = √((-√28 - 0)^2 + (3 - (-6))^2)

Simplifying:

r = √(28 + 81)

r = √109

Therefore, the equation of the circle with center (0, -6) and containing the point (-√28, 3) is:

(x - 0)^2 + (y + 6)^2 = (√109)^2

Simplifying further:

x^2 + (y + 6)^2 = 109

Answer:

The equation of the circle with center (0, -6) containing the point (-√28, 3) is x^2 + (y + 6)^2 = 109.

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is given by the formula:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6), which means that h = 0 and k = -6. We also know that the circle contains the point (-√28, 3), which means that this point is on the circle and satisfies the equation above.

To find the radius r, we can use the distance formula between the center of the circle and the given point:

r = sqrt((0 - (-√28))^2 + (-6 - 3)^2) = sqrt(28 + 81) = sqrt(109)

Substituting h, k, and r into the equation of the circle, we get:

x^2 + (y + 6)^2 = 109

Therefore, the equation of the circle is x^2 + (y + 6)^2 = 109.

Answer:

152.7

Step-by-step explanation:

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B

To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.

For x = 0:

cos(0) - 0 * e = 1 - 0 = 1

For x = 1:

cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18

Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.

The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.

Therefore, the correct answer is OB) 0.517.

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Answer:

-9/8

Step-by-step explanation:

m=y2-y1/x2-x1

9-18=(-9)

9-1=8

-9/8

hope this helps :3

if it did pls mark brainliest

Answer:

Step-by-step explanation:

(x₁, y₁ )  = (1 , 18 )          &   (x₂ , y₂) = ( 9 , 9)

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

        \(= \frac{9 - 18}{9 - 1}\\\\\\= \frac{-9}{8}\\\)

Answer:

12/25

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

x=10

-x - 8 = 12 - 3 x

This is how you do it

Answer:

a) 10:10:10

b)\(A_s=600m^2\)

Step-by-step explanation:

From the question we are told that:

Volume \(V=1000cm^3\)

a) .

Generally for optimal dimensions

\(A=L*B*H\)

Where

\(L=B=H\)

Therefore

\(L=^3\sqrt{1000}\\L=10\)

Therefore the optimal dimensions will be

10:10:10

b)

Generally the equation for surface area of a cube is mathematically given by

\(A_s=6l^2\)

\(A_s=6*10^2\)

\(A_s=600m^2\)

a) The solid region E For the solid region E, the cylinder is x2+y2 = 4

b) The volume of the solid region E is 896π/15.

a) Sketch the solid region E For the solid region E, the cylinder is x2+y2 = 4.

Below the shifted half-cone z − 4 = − √x2+y2, and above the shifted circular paraboloid z + 4 = x2+y2.

The vertex of the half-cone is at (0, 0, 4), and its base is on the xy-plane. Also, the vertex of the shifted circular paraboloid is at (0, 0, −4)

.Therefore, the solid E is bounded from below by the shifted circular paraboloid, and from above by the shifted half-cone, and from the side by the cylinder x2+y2 = 4.

The sketch of the region E in the cylindrical coordinate system is made.

b) Finding the volume of E using a triple integral in cylindrical coordinates

The integral for the volume of a solid E in cylindrical coordinates is given by

∭E dv = ∫θ2θ1 ∫h2(r,θ)h1(r,θ) ∫g2(r,θ,z)g1(r,θ,z) dz rdrdθ,where g1(r,θ,z) ≤ z ≤ g2(r,θ,z) are the lower and upper limits of the solid region E in the z direction.

The limits of r and θ are already given. The limits of z are determined from the equations of the shifted half-cone and shifted circular paraboloid.To find the limits of r, we note that the cylinder x2+y2 = 4 is a circle of radius 2 in the xy-plane.

Thus, 0 ≤ r ≤ 2.To find the limits of z, we note that the shifted half-cone is z − 4 = − √x2+y2 and the shifted circular paraboloid is z + 4 = x2+y2. Thus, the lower limit of z is given by the equation of the shifted circular paraboloid, which is z1 = x2+y2 − 4.

The upper limit of z is given by the equation of the shifted half-cone, which is z2 = √x2+y2 + 4.

The integral for the volume of the solid region E is therefore∭E dv = ∫02π ∫22 ∫r2 − 4r2+r2+4 √r2+z2 − 4r2+z − 4 dz rdrdθ= ∫02π ∫22 ∫r2 − 4r2+r2+4 (z2 − z1) dz rdrdθ= ∫02π ∫22 ∫r2 − 4r2+r2+4 (√r2+z2 + 4 + 4 − √r2+z2 − 4) dz rdrdθ= ∫02π ∫22 ∫r2 − 4r2+r2+4 (√r2+z2 + √r2+z2 − 8) dz rdrdθ

Letting u = r2+z2, we have u = r2 for the lower limit of z, and u = r2+8 for the upper limit of z.

Thus, the integral becomes∭E dv = ∫02π ∫22 ∫r2 r2+8 2√u du rdrdθ= ∫02π ∫22 2 8 (u3/2) |u=r2u=r2+8 rdrdθ= ∫02π ∫22 (16/3) (r2+8)3/2 − r83/2 rdrdθ= ∫02π 83/5 [(r2+8)5/2 − r5/2] |r=0r=2 dθ= 83/5 [(28)5/2 − 8.5] π= 896π/15

Therefore, the volume of the solid region E is 896π/15.

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Answer:

tan

Step-by-step explanation:

its the opposite over adjacent

Answer:

tan

Step-by-step explanation:

sinx=Opposite/adjacent

Tanx=8.78/12

The option that is true about the mode of the population and random sample is; D. can be larger, smaller or equal to the mode of the population

The mode of a given sample is defined as the value that has a higher frequency in a given set of values.

Now, we are told that From a population of size 500, a random sample of 50 items is selected. Thus;

Population size= 500

Sample size = 50

Now, by definition of the mode, we can easily say that it can be smaller, bigger or equal to the population mode. It all depends on the random sample that was selected

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Answer:

Step-by-step explanation:

Answer:

In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex. Angles are measured in degrees ( °), using a protractor.

Step-by-step explanation:

I belive you asked for the defintion sorry if you weree asking for the anwser, also if u were asking for the anwser let me know and i will anwser it!

Im cacultaing the anwser now! I should be done soon!

The given data set is:

It is required to find the mode.

Recall that the mode is the value in a set of data that has the most occurrences.

Note that the mode is not unique and a data set may have no mode.

The value that has the most occurrences in the set is not unique.

Hence, the data set has no mode score

Answer:

12

Step-by-step explanation:

Looking for LCM of 4 2 and 3    <==== this is 12

The height of the skyscraper for the considered case is evaluated being of 358 meters approx.

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

Remember that we assume that building is vertical to the ground. This means, there is 90° formation.

For this case, referring to the figure attached below, we get:

The height of the skyscraper = h = length of ED (which is h - 1.74 meters) + 1.74 meters

Using the tangent ratio for triangle CDE, from the perspective of angle of elevation, we get:

\(\tan(44^\circ) = \dfrac{|ED|}{|CD|} = \dfrac{h-1.74}{|AB|} \\0.9656 \approx \dfrac{h-1.74}{369}\\\\h \approx 0.9656 \times 369 + 1.74 \approx 358 \: \rm m\)

(from calculator, we obtained \(tan(44^\circ) \approx 0.9656\) )

Thus, the height of the skyscraper for the considered case is evaluated being of 358 meters approx.

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Answer:

Step-by-step explanation:

he height of the storage unit is equal to twice its radius (since the diameter is twice the radius), so the height is 2 x 8 = 16 feet.

The storage unit is in the shape of a cylinder, so we can use the formula for the volume of a cylinder, V = πr^2h, where r is the radius and h is the height:

V = π(8^2)(16)

V = π(64)(16)

V = 3,218.69 cubic feet (rounded to two decimal places)

Therefore, the volume of the storage unit is approximately 3,218.69 cubic feet.

By definition, a function is increasing when the y-value increases as the x-value increases

is stricly decreasing on the interval

and stricly increasing on the interval