What is the volume of the box pictured below?

fractions 3 and 1 over 10 cubic feet
fraction 3 and 2 over 5 cubic feet
fraction 6 and 5 over 8 cubic feet
fraction 8 and 3 over 4 cubic feet

The optimal solution for the given linear programming problem using the Big-M method is x₁ = 4, x₂ = 2, with a maximum value of Z = 22.

To solve the given linear programming problem using the Big-M method, we first convert it into standard form by introducing slack, surplus, and artificial variables.

The objective function is to maximize Z = 4x₁ + 3x₂. The constraints are 2x₁ + x₂ ≥ 10, -3x₁ + 2x₂ ≤ 6, x₁ + x₂ ≥ 6, and x₁, x₂ ≥ 0.

We introduce slack variables s₁, s₂, and s₃ to convert the inequalities into equalities. The initial Big-M tableau is set up with the coefficients and variables, and the artificial variables are introduced to handle the inequalities. We set a large positive value (M) for the artificial variables' coefficients.

In the first iteration, we choose the most negative coefficient in the Z-row, which is -4 corresponding to x₁. We select the s₂-row as the pivot row since it has the minimum ratio of the RHS value (6) to the coefficient in the pivot column (-3). We perform row operations to make the pivot element 1 and other elements in the pivot column 0.

After multiple iterations, we find that the optimal solution is x₁ = 4, x₂ = 2, with a maximum value of Z = 22. This means that to maximize the objective function, x₁ should be set to 4 and x₂ should be set to 2, resulting in a maximum value of Z as 22." short

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Answer:

13%

Step-by-step explanation:

formula : old number - New number/ old number x 100

So 197,690 - 223,970  / 197,690 x 100

which is about 13% percent after calculation

or 13.2935403915% to be exact

Answer:

Step-by-step explanation:

Answer:

13%

Step-by-step explanation:

formula : old number - New number/ old number x 100

So 197,690 - 223,970  / 197,690 x 100

which is about 13% percent after calculation

or 13.2935403915% to be exact

Answer:

34.64

Step-by-step explanation:

tan(30)=\(\frac{x}{6}\)

x=tan(30)*6

x=34.6410....

x=34.64

To find the measure of each angle, we need to use the formula for calculating the sum of angles in a polygon. The formula is:

sum of angles = (n - 2) x 180

where n is the number of sides of the polygon. This formula tells us that the sum of the interior angles of any polygon is equal to the product of the difference between the number of sides and two, and 180.

To find the measure of each angle in the polygon, we simply divide the sum of angles by the number of sides. The formula for finding the measure of each angle is:

measure of each angle = sum of angles / n

where n is the number of sides of the polygon. This equation is very useful in solving problems related to polygons, such as finding the measure of angles in regular polygons or finding the number of sides in a polygon when given the measure of each angle.

In conclusion, the equation for finding the measure of each angle in a polygon is the sum of angles divided by the number of sides. This formula helps us to solve problems related to polygons and find the measurements of angles in regular polygons.

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The measure of the shorter base is approximately 28.85.

To solve this problem, we need to use the fact that the line segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases and has a length equal to half the sum of the bases. Let's call the shorter base "x".

We know that the longer base is 97, so the sum of the bases is x + 97.

We also know that the line segment joining the midpoints of the diagonals has a length of 3. Since this line segment is parallel to the bases, it divides the trapezoid into two smaller trapezoids that are similar to the original trapezoid.

Using the similar triangles, we can set up the following equation:

3/x = (x + 97)/97

Cross-multiplying and simplifying, we get:

3*97 = x^2 + 97x

Multiplying out the right side and rearranging, we get:

x^2 + 97x - 291 = 0

Now we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac))/2a

Plugging in a=1, b=97, and c=-291, we get:

x = (-97 ± sqrt(97^2 - 4(1)(-291)))/2(1)

x = (-97 ± sqrt(9429))/2

x = (-97 ± 97)/2 or x = (-97 ± sqrt(9429))/2

Since we're looking for the shorter base, we can discard the negative solution:

x = (-97 + sqrt(9429))/2

x ≈ 28.85

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The area of hemisphere is given by  3πr² and the volume of the hemisphere is given by 2/3πr³.

When we divide the sphere into two equal halves, we get a hemisphere. The curved surface area of the hemisphere plus the base area will add up to the hemisphere's total surface area. Here, the foundation has a circular shape. We may discover many examples of hemispheres in daily life, such as how our planet Earth is divided into the southern and northern hemispheres.

A hemisphere's surface area is the sum of all of its faces. When a sphere is cut along a plane that runs through its centre, a three-dimensional shape known as a hemisphere is created. A hemisphere is, in other terms, one-half of a sphere.

3πr²

 A hemisphere has one flat circular base and a curving surface. The quantity of unit cubes that can fit inside a hemisphere is known as its volume.

2/3πr³.

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The value of sec 19° is approximately 1.058, which corresponds to answer choice D.

To find the value of sec 19° using a calculator, follow these steps:

Turn on your calculator and make sure it is in degree mode.

Enter "19" and press the "cos" button. This will give you the value of cos 19°.

Press the "1/x" button, which represents the reciprocal function, to find the value of sec 19°.

Using this method, we get:

cos 19° = 0.948

1/cos 19° = 1/0.948 ≈ 1.058

Therefore, the value of sec 19° is approximately 1.058, which corresponds to answer choice D.

It is important to note that some calculators may have slight variations in their calculations due to rounding or other factors. However, the answer should be very close to 1.058.

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If the similar sides and angles of two triangles are proportionate, then the triangles are similar.

We must assess if two triangles have the same shape but perhaps different sizes in order to determine their similarity. The triangles are similar if their corresponding sides are proportionate. The triangles are not comparable if they are not proportionate. We only need to determine whether two triangles' respective sides are proportionate if we are given two triangles and are aware that their corresponding angles are congruent.

In conclusion, in order to establish whether two triangles are comparable, we must look at both the proportionality of the respective sides and the congruency of the corresponding angles. The triangles are similar if both requirements are satisfied, and we can create a similarity assertion by using the matching triangle vertices.

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Answer:

Step-by-step explanation:

\(\sf n^{th}\) roots of a complex number is given by DeMoivre's formula.

   \(\sf \boxed{\bf r^{\frac{1}{n}}\left[Cos \dfrac{\theta + 2\pi k}{n}+i \ Sin \ \dfrac{\theta+2\pi k}{n}\right]}\)

Here, k lies between 0 and (n -1) ; n is the exponent.

\(\sf -1 + i\sqrt{3}\)

a = -1 and b = √3

\(\sf \boxed{r=\sqrt{a^2+b^2}} \ and \ \boxed{\theta = Tan^{-1} \ \dfrac{b}{a}}\)

\(\sf r = \sqrt{(-1)^2 + 3^2}\\\\ = \sqrt{1+9}\\\\=\sqrt{10}\)

                   \(\sf \theta = tan^{-1} \ \dfrac{\sqrt{3}}{-1}\\\\ = tan^{-1} \ (-\sqrt{3})\)

                   \(\sf = \dfrac{-\pi }{3}\)

n = 4

For k = 0,

          \(\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{\dfrac{-\pi}{3} +0}{4}+iSin \ \dfrac{\dfrac{-\pi}{3}+0}{4}\right] \\\\\\z= \sqrt[4]{10} \left[Cos \ \dfrac{ -\pi }{12}+iSin \ \dfrac{-\pi}{12}\right]\\\\\\z = \sqrt[4]{10}\left[-Cos \ \dfrac{\pi}{12}-i \ Sin \ \dfrac{\pi}{12}\right]\)

For k =1,

         \(\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{5\pi}{12}+i \ Sin \ \dfrac{5\pi}{12}\right]\)

For k =2,

       \(z = \sqrt[4]{10}\left[Cos \ \dfrac{11\pi}{12}+i \ Sin \ \dfrac{11\pi}{12}\right]\)

For k = 3,

      \(\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{17\pi}{12}+i \ Sin \ \dfrac{17\pi}{12}\right]\)

For k = 4,

      \(\sf z =\sqrt[4]{10}\left[Cos \ \dfrac{23\pi}{12}+i \ Sin \ \dfrac{23\pi}{12}\right]\)

(a) The amount in the account at the end of 1 year is $3330

(b) The amount in the account at the end of 2 year is $3696.3

It is given that Deon deposit $3000 that pays 11% interest compounded each year .

(a) Putting P = $3000, R =  11%  , T = 1 year in equation (1) , we get

           \(A=3000(1+\frac{11}{100} )^1\\\\A=3000(1+0.11)\\A=3000(1.11)\\A=3330\)

(b) Putting P = $3000, R =  11%  , T = 2 year in equation (1) , we get

       \(A=3000(1+\frac{11}{100} )^2\\\\A=3000(1+0.11)^2\\A=3000(1.11)^2\\A=3000\times1.23\\A=3696.3\)

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Answer:

Step-by-step explanation:

i did it

Answer:

C B E

Step-by-step explanation:

Answer:

switch inequality and equation around

Step-by-step explanation:

equation: 4j-3=j

inequality: g+h>f

expression: leave it alone

Answer:

20/9 laps

Step-by-step explanation:

convert everything to minutes to make things a little easier

3/10 of an hour = 1/10 of an hour (6 minutes) * 3 = 18 minutes

2/3 of an hour = 1/3 of an hour (20 minutes) * 2 = 40 minutes

18 minutes = 1 lap

40 minutes = ? laps

multiply the first equation by 40/18 to get 40 minutes on the left sides

40 minutes = 40/18 laps = 20/9 laps

Answer: 62

Step-by-step explanation:

\(\displaystyle\bf 9x^2-4x-7 =0 \\\\ Synthetic \ \ division\ \ if \ \ x-3 =0 => x=3 \\\\ then \ \ 3| \underline{ \ 9 \ | \ -4 \ | \ -7 \ | } \\\\ . \!\! \qquad\qquad +|3*9| \ \ 23*3 | \\ .\!\!\!\!\!\1 \qquad \qquad \qquad | \ 23 \ | \ \ \ \boxed{62}\)

True/False question cannot be answered with a "main answer". However, the archaeologists do believe that the cities of Sodom and Gomorrah were near the Dead Sea.

The location of Sodom and Gomorrah is a subject of debate among archaeologists and scholars. Some believe that they were located near the Dead Sea, while others propose different locations. However, the prevailing theory is that they were situated near the Dead Sea, which is a salt lake bordered by Jordan to the east and Israel and Palestine to the west.

The true/false question you have posed cannot be answered with a long answer as it is a binary question. However, if you want to know more about the archaeology and history of Sodom and Gomorrah, there is a wealth of information available online and in scholarly articles and books. The story of Sodom and Gomorrah is a biblical tale that recounts the destruction of two cities by God due to their wickedness. The story appears in both the Book of Genesis in the Hebrew Bible and in the Quran. Archaeological evidence suggests that there were settlements in the area of the Dead Sea around the time the story of Sodom and Gomorrah is said to have occurred, but there is no conclusive proof that these were the cities referred to in the Bible. Some scholars argue that the story is a myth, while others believe that there is a historical basis for it. Regardless of the veracity of the tale, the story of Sodom and Gomorrah has captured the imagination of people for centuries and continues to be a subject of scholarly inquiry.

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The solution for the given inequality is x ∈ (-2, -1). Hence, option (C) is correct. The given inequality is: |2x + 3| + 4 < 5We need to solve this inequality by first isolating the absolute value expression, which can be positive or negative.

We have |2x + 3| + 4 < 5.

Now, subtracting 4 from both sides of the inequality, we get

|2x + 3| < 5

- 4|2x + 3| < 1.

Now, we solve the two separate inequalities. First, we solve the inequality |2x + 3| < 1.

Using the definition of absolute value, we can write the above inequality as-1 < 2x + 3 < 1.

Subtracting 3 from all parts of the inequality, we have

-1 - 3 < 2x < 1 - 3-4 < 2x < -2.

Dividing all parts of the inequality by 2, we get-2 < x < -1

Simplifying, we getx ∈ (-2, -1)

Now, we solve the second inequality |2x + 3| < -1, which has no solution as the absolute value of any expression cannot be negative.

Therefore, the solution is x ∈ (-2, -1).Hence, option (C) is correct.

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Answer:

The answer is

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, 2) and (6, 8)

The slope is

\(m = \frac{8 - 2}{6 + 4} = \frac{6}{10} = \frac{3}{5} \\ \)

We have the final answer as

\( \frac{3}{5} \\ \)

Hope this helps you

Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.

The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.

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Answer:

∡3≅∡11

Step-by-step explanation:

If I understand the question then I would use the corresponding angles postulate to find that angle 11 is congruent to angle 3.

Answer:

Isosceles Triangle

Step-by-step explanation:

An isosceles triangle is a triangle with exactly two congruent sides.

Please mark me the brainliest!?!

According to the Centers for Disease Control and Prevention (CDC), about 73.6 percent of adults in the United States are overweight or obese. So, the correct answer is D).

This means that a majority of adults in the U.S. have a body mass index (BMI) above the healthy range, which is defined as a BMI of 18.5-24.9, which puts them at increased risk for a range of health issues, including heart disease, diabetes, and some types of cancer.

The prevalence of overweight and obesity has been increasing in the United States in recent decades, and it is a significant public health concern. Obesity is a complex issue with many causes, including genetics, environment, and lifestyle factors such as diet and physical activity levels. So, the correct answer is D).

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--The given question is incomplete, the complete question is given

"  According to the Centers for Disease Control and Prevention (CDC), approximately what percentage of u.s. adults is overweight? select one: a. 24 percent b. 44 percent c. 64 percent d. 73.6 percent "--

In 2012, 8 percentage of high school seniors sampled had used lad sometime during their life.

LSD use among secondary school understudies is a specific concern. In excess of 8% of secondary school seniors in the United States utilized the medication something like once in the course of their life, and almost 4% involved the medication in the previous year, as per the University of Michigan's Monitoring the Future Survey. In spite of the fact that by the 1980s LSD use had extraordinarily declined, it made a resurgence during the 1990s, basically among teens. An overview led by Monitoring the Future Study discovered that 13.6 percent of 1997's secondary school seniors had tried different things with LSD no less than once contrasted with just 7.2 percent in 1986.

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Answer:

182.88cm

Step-by-step explanation:

multiply the length value by 30.48

As Almay walks through a local park and passes an old man in pain, the presence of many other walkers in the park will most likely increase the probability that Almay will experience the "bystander effect."

As Almay walks through the local park and comes across an old man who is in pain, the presence of many other walkers in the park will most likely increase the probability that Almay will seek help for the man.

This is because the bystander effect, which is the tendency for individuals to be less likely to intervene in an emergency situation when others are present, is less likely to occur when there are more people around. With more people present, Almay may feel a greater sense of responsibility to act and seek help for the man.

Additionally, the presence of other walkers may also make it easier for Almay to quickly locate someone who can assist with medical attention or call for emergency services.

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Answer:

1. m∠CUK = 70°

2. m∠K = 112°

Step-by-step explanation:

1. The given parameters of the parallelogram LUCK are;

∠C = 68°

∠LUK = 42°

From the diagram of parallelogram LUCK obtained from an online source, we have;

Given that LUCK = A parallelogram, we have;

The same side interior angles ∠C and ∠U are supplementary angles

Therefore;

∠C + ∠U = 180°

∠U = 180° - ∠ C

∴ ∠U = 180° - 68° = 112°

∠U = 112°

By angle addition property, ∠U = ∠LUK + ∠CUK

∴ m∠CUK = ∠U - ∠LUK

By plugging in the value of ∠LUK = 42°, and ∠U = 112°, we have;

m∠CUK = ∠U - ∠LUK = 112° - 42° = 70°

m∠CUK = 70°

2. By angle addition property, we have;

∠K = ∠LKU + ∠CKU

∠LKU and ∠CUK are alternate interior angles

∴ ∠LKU = ∠CUK = 70°

Similarly, ∠CKU and ∠LUK are alternate interior angles

∠CKU = ∠LUK = 42°

m∠K = ∠LKU + ∠CKU = 70° + 42° = 112°

m∠K = 112°.

Answer:

slope-1 y-intercept-(0,-3)

Answer:

f(-4)=8(-4)-3

=-32-3=-35

There are a total (4) 2⁸ = 256 possible methods to join 8 bits or 8 binary digits.

A binary code uses a two-symbol system to represent text, computer processor instructions, or any other data.

The binary number system's "0" and "1" are frequently employed as the two symbols in this system.

Each character, command, etc. is given a set of binary digits, often referred to as bits, by the binary code.

A binary string of eight bits (also known as a byte) can, for instance, represent any of 256 possible values and hence a vast range of distinct things.

8 bits, or 8 binary digits, can be combined in 2⁸=256 different ways.

Some of these combinations are shown in the following table.

(The number in parentheses is the equivalent in decimal form.)

Therefore, there are a total (4) 2⁸ = 256 possible methods to join 8 bits or 8 binary digits.

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Answer:13/18

Step-by-step explanation:

The probability a male's growth plate will fuse before age 17 is 0.1112, for this we have to learn probability.

Probability of an event is a number that shows what is the possibility of an event occur.

we have to take entire area under the standardized curve from and including the left tail up to the z-score for 17.

\(= \frac{(17 - 18.6 years)}{1.308333 years}\)

\(= \frac{(-1.6) }{1.308333}\)

\(= -1.22293\)

\(= approx. 1.22.\)

The area from the mean to +ve or -ve 1.22 is .3888

We have to subtract .3888 from area from the tail to the mean (.5000) to get area from the tail to 1.22.

So, the growth plates will fuse before age 17 \(= .5000-.3888 = 0.1112\)

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