The square below represents one whole.
Express the shaded area as a fraction, a decimal, and
a percent of the whole.

Answer:

15 miles in one hour

Step-by-step explanation:

Since we know that we need twelve 1/12 hours to make one full hour, we can multiply.

5/4 * 12

5/4 * 12/1

60/4

15

Best of Luck!

Answer: 15 miles

If he can already run 5/4 miles in 1/12 of an hour, we multiply.

First, let's simplify 5/4 to make it easier.

5/4 = 1 1/4.

Alex ran 1 1/4 miles in 1/12 of a hour.

Now, let's multiply 1 1/4 by 12.

1 1/4 x 12 = 15.

Answer = 15 miles. Hope this helps!

The volume of a stack of 9 books is 1368.75 cubic inches.

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

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Answer:

4/2

Step-by-step explanation:

The binary representation is (a) a3 in binary is 10100011(b) 1fc in binary is 11111100(c) 2a0b in binary is 1010100000001011

In hexadecimal, each digit represents four bits, which means that two hexadecimal digits can represent eight bits. As a result, converting from hexadecimal to binary is straightforward. The four bits corresponding to each hexadecimal digit can be written down, resulting in an 8-bit binary value.

To convert hexadecimal to binary, simply convert each hexadecimal digit to binary, then combine them to get the final binary representation. For instance, in a, the hexadecimal digit a has a binary representation of 1010, while the digit 3 has a binary representation of 0011.

Combining these results in a binary representation of 10100011. Similarly, the binary representations of 1f and c are 00011111 and 00001100, respectively.

Combining them results in 11111100. Finally, the binary representation of 2a0b is obtained by converting 2, a, 0, and b to binary, resulting in 0010, 1010, 0000, and 1011, respectively. Combining them results in 1010100000001011.

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The numbers resulting from the indicated operation:

-1 2 1 -1

3 4 5 5

A number is a numerical value that is used to represent quantity. Hence, a number is a mathematical concept used to count, measure, and label. Thus, numbers form the basis of mathematics. A number is an arithmetic value used for representing the quantity and used in making calculations. Numericals are written symbols that represent numbers, such as "3." A number system is a writing system for representing numbers using digits or characters in a logical manner. Numbers are used to count, measure, and compare quantities. A number system is a set of symbols, or numerals, that are used to represent numbers.

Here,

The numbers resulting from the indicated operation:

-1 2 1 -1

3 4 5 5

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Answer:

-1 2 1 -1

3 4 5 5

The artificial variables is x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, A1 ≥ 0, A2 ≥ 0

To reformulate the given problem as a convenient artificial problem for preparing to apply the simplex method, we introduce artificial variables. The steps to reformulate the problem are as follows:

1. Introduce the artificial variables. For each inequality constraint, introduce an artificial variable by subtracting a slack variable from the left-hand side of the inequality.

The problem can be reformulated as follows:

Minimize Z = 2x1 + x2 + 3x3

subject to:

5x1 + 2x2 + 7x3 + A1 = 420    (Equation 1)

3x1 + 2x2 + 5x3 + A2 = 280    (Equation 2)

where A1 and A2 are the artificial variables.

2. Rewrite the problem with the added artificial variables. The reformulated problem becomes:

Minimize Z = 2x1 + x2 + 3x3 + 0A1 + 0A2

subject to:

5x1 + 2x2 + 7x3 + A1 = 420    (Equation 1)

3x1 + 2x2 + 5x3 + A2 = 280    (Equation 2)

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, A1 ≥ 0, A2 ≥ 0

By introducing the artificial variables, we have transformed the original problem into a convenient artificial problem that can be solved using the simplex method.

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The complete question is:

Consider the following problem.

Minimize

Z = 2x_{1} + x_{2} + 3x_{3}

x_{3} >= 0

subject to

5x_{1} + 2x_{2} + 7x_{3} = 420

3x_{1} + 2x_{2} + 5x_{3} >= 280

and

x_{1} >= 0

x_{2} >= 0

Introduce artificial variables to reformulate this problem as a convenient artificial problem for preparing to apply the simplex method.

Solution:

Given that;

The price of a house decreased from $400, 000 to $300, 000 in one year

The difference is

The percentage decrease will be

Hence, the percentage decrease is 25%

Answer:

The first and third polynomials have roots in x = 3 and x = -i. (A, C)

Step-by-step explanation:

The quickest form to determine if \(x = 3\) and \(x = -i\) are roots consist in evaluating each polynomial and proving that result is zero.

A. \(f(x) = x^{3}-3\cdot x^{2}+x-3\)

x = 3

\(f(3) = 3^{3}-3\cdot (3)^{2}+3-3\)

\(f(3) = 27-27+3-3\)

\(f(3) = 0\)

x = -i

\(f(-i) = (-i)^{3}-3\cdot (-i)^{2}-i-3\)

\(f(-i) = i + 3-i-3\)

\(f(-i) = 0\)

B. \(f(x) = x^{5}+9\cdot x^{4}+28\cdot x^{3} + 36\cdot x^{2}+27\cdot x +27\)

x = 3

\(f(3) = 3^{5}+9\cdot (3)^{4}+28\cdot (3)^{3}+36\cdot (3)^{2}+27\cdot (3)+27\)

\(f(3) = 2109\)

x = -i

\(f(-i) = (-i)^{5}+9\cdot (-i)^{4}+28\cdot (-i)^{3}+36\cdot (-i)^{2}+27\cdot (-i)+27\)

\(f(-i) = -i+9 -28\cdot i +36-27\cdot i +27\)

\(f(-i) = -56\cdot i +64\)

\(f(-i) = 64 -56\cdot i\)

C. \(f(x) = x^{5}-9\cdot x^{4}+28\cdot x^{3} - 36\cdot x^{2}+27\cdot x -27\)

x = 3

\(f(3) = (3)^{5}-9\cdot (3)^{4}+28\cdot (3)^{3}-36\cdot (3)^{2}+27\cdot (3)-27\)

\(f(3) = 0\)

x = -i

\(f(-i) = (-i)^{5}-9\cdot (-i)^{4}+28\cdot (-i)^{3}-36\cdot (-i)^{2}+27\cdot (-i)-27\)

\(f(-i) = -i - 9+28\cdot i+36-27\cdot i-27\)

\(f(-i) = 0\)

D. \(f(x) = x^{3}+3\cdot x^{2}+x+3\)

x = 3

\(f(3) = (3)^{3}+3\cdot (3)^{2}+(3)+3\)

\(f(3) = 60\)

x = -i

\(f(-i) = (-i)^{3}+3\cdot (-i)^{2}+(-i)+3\)

\(f(-i) = -i+3-i+3\)

\(f(-i) = 6-i\,2\)

The first and third polynomials have roots in x = 3 and x = -i. (A, C)

Answer:

3.162

Step-by-step explanation:

√10 = 3.162

Answer:

Step-by-step explanation:

I hope I can use a calculator and not use logs or a type of long division!

√10 = 3.16227

The hundredth place is the 6. The next place is a 2 which does not have any effect on the 6.

Answer: 3.16

Answer:bl

7564w

Step-by-step explanation:

u9ytrfgufugugt4g7gf7rgfr47ufu4fjgccfffffeeeeeeeeeeeeeeeeeedftggfdfdcvbg vfrvf

Step-by-step explanation:

To determine if a system of two equations with two unknowns has infinite solutions using matrices, you can perform Gaussian elimination or row reduction on the augmented matrix of the system. If the reduced form of the matrix is the identity matrix, then the system has a unique solution. If the reduced form is a row of zeros except for the last column, then the system has no solution. If the reduced form has a row with all zeros except for the last column being non-zero, then the system has an infinite number of solutions.

In other words, the system has infinite solutions if the row reduced form of the augmented matrix has a row of the form [0 0 c], where c is a non-zero scalar. This means that there is a non-trivial solution that satisfies the equation, indicating that there are infinitely many solutions.

Answer:

C   (3, 2)

Step-by-step explanation:

x = (-4 + 10)/2

x = 3

y = (-1 + 5)/2

y = 2

midpoint (3, 2)

description of the graph with the specified properties:

1. For< 1: The graph is increasing, indicating that f'(x) > 0. It steadily rises as x approaches 1.

2. At x = 1: There is a discontinuity, which means that the graph has a break or a jump at x = 1.

3. For x > 1: The graph is decreasing, indicating that f'(x) < 0. It decreases as x moves further away from 1.

4. f(1) = 5: At x = 1, the graph has a point of discontinuity, and the function value is 5.

Please note that without specific information about the function or further constraints, I cannot provide the exact shape or details of the graph. However, I hope this description helps you visualize a graph that meets the specified properties.

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The correct statements are:

5 students study both French and Spanish. (option A)

2 students study neither French nor Spanish. (option C)

30 students study French, but not Spanish.(option D)

A two-way table is a table that is used to display a dataset for two different categories of data that has been collected into one group. One category is represented by the rows and the other is represented by the columns.

The number of students who study French is the sum of those who study French and Spanish and those who study French but not Spanish. The sum is 35.

The number of students who study Spanish is the sum of those who study French and Spanish and those who study Spanish but not French. The sum is 68.

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Answer:

its 50%,1/2,0.5

Step-by-step explanation:

In a supermartingale , the current variable (\(X_{t}\)) is an overestimate for the upcoming \(X_{t + 1}\).

A sequence of random variable (\(X_{t}\)) adapted to a filtration (\(F_{t}\)) is a martingale (with respect to (\(F_{t}\))) if  all the following holds for all t :

(i)   E|\(X_{t\)| < ∞

(ii) E[ \(X_{t + 1}\)|\(F_{t}\)] = \(X_{t}\)

If instead of condition (ii) we have E [\(X_{t + 1}\)|\(F_{t}\)]  ≥ \(X_{t}\) for all t , we then say that (\(X_{t}\))  is submartingale with respect to (\(F_{t}\)).

If instead of condition (ii) we have E [ \(X_{t + 1}\) | \(F_{t}\)] ≤\(X_{t}\) for all t , we then say that (\(X_{t}\)) is supermartingale with respect to (\(F_{t}\)).

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The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Population: The containers of blueberries that are being sent to Stop and Shop.

Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

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Answer:

The image is not shown, but this can be answered.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

This says that, for any given two points, we can find a line that passes through both of them.

Then we have that two points are ALWAYS collinear.

Then does not matter which points the student chooses, because we can find a line that passes through them, then the probability that these randomly chosen points are collinear is 1 or 100% in percentage form.

Answer:

Answer: It's relatively easy to find x in this problem. 4x+3y=12 means that the expression 3y needs to be 12 too, which gives us 12-6 or 6. That number divided by 4 is 2, so x=2! Congrats, you've found x!

Step-by-step explanation:

One way of solving this problem is to remove the parentheses all together and write the equation as 8x+6y = 54. Subtracting 54 from both sides would give us -8x + 6y = 18. The key point here is that when subtracting a negative number, we have to borrow one from our variable so instead our answer becomes (-8)x-6(y)=-54.

Answer:

-6, 6

Step-by-step explanation:

When you add a positive and a negative number together they simply cancel out each other so the answer becomes 0. For example -5+5= ,-16+16=0 and so on.

The ground state energy of the system if the particles are electrons is E1 = π²ℏ² / 2ma² and the ground state energy of the system if the particles are bosons is given by EB = (π²ℏ²N² / 2ma²)×N. However, the number of bosons N will depend on the chemical potential and temperature of the system.

Given,Infinite potential well defined by V(x)={0,[infinity],​0≤x≤a elsewhere ϵ​​No. of particles N.Electrons and Bosons are non-interacting, identical particles.

Now, we need to calculate the ground state energy of the system if the particles are electrons and bosons.i) Ground state energy of the system if the particles are electrons:

The wave function for the ground state is given by:Ψ1 (x) = (2 / a)1/2 sin (πx / a)So, the energy associated with this wave function is:E1 = π²ℏ² / 2ma².

Now, for electrons, we can use Pauli Exclusion principle which states that no two electrons can occupy the same quantum state.

Thus, only one electron can occupy the ground state.

Ground state energy of the system if the particles are bosons:For bosons, any number of them can occupy the same quantum state.

Thus, if the ground state is occupied by N bosons, the wave function becomes:ΨB (x) = (2 / a)1/2 sin (Nπx / a)So, the energy associated with this wave function is given by:EB = (π²ℏ²N² / 2ma²)×N.

Now, the number of bosons N will depend on the chemical potential and temperature of the system.

If the chemical potential is much less than the ground state energy, then we can assume that only one boson will occupy the ground state, just like electrons.

In conclusion, the ground state energy of the system if the particles are electrons is E1 = π²ℏ² / 2ma² and the ground state energy of the system if the particles are bosons is given by EB = (π²ℏ²N² / 2ma²)×N. However, the number of bosons N will depend on the chemical potential and temperature of the system.

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Answer:b

Step-by-step explanation:

The country is borrowing 1600 units of money on the world financial markets.

a. To determine the trade balance, we need to calculate the net exports (NX) using the given information. The formula for net exports is:

NX = Y - (C + I + G)

Given:

Y = 5000

C = 1000 + 0.5(Y - T) = 1000 + 0.5(5000 - 1000) = 1000 + 0.5(4000) = 1000 + 2000 = 3000

I = 2000

G = 1600

T = 1000

Plugging these values into the net exports equation:

NX = 5000 - (3000 + 2000 + 1600) = 5000 - 6600 = -1600

The trade balance is -1600. A negative trade balance indicates a trade deficit, which means that the country is importing more goods and services than it is exporting. In this case, the country is experiencing a trade deficit.

b. To determine whether the country is borrowing or lending money on the world financial markets, we need to examine the relationship between domestic investment (I) and national saving (S). If domestic investment exceeds national saving, the country is borrowing money. If national saving exceeds domestic investment, the country is lending money.

The formula for national saving (S) is:

S = Y - C - G

Plugging in the given values:

S = 5000 - 3000 - 1600 = 400

The national saving is 400.

Since investment (I) is 2000, which is greater than national saving (400), the country is borrowing money on the world financial markets. The amount being borrowed is the difference between investment and national saving:

Borrowing = I - S = 2000 - 400 = 1600

Therefore, the country is borrowing 1600 units of money on the world financial markets.

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Answer

(3x-3)

Step-by-step explanation:

The mover is communicating that the weight of the table and 4 chairs combined, represented as t+4C, is greater than or equal to 100 pounds.

The expression t+4C represents the total weight of the table and 4 chairs. The mover's invoice states that this total weight is greater than or equal to 100 pounds, which means that the combined weight of the table and chairs is at least 100 pounds. Therefore, the correct answer is D, "The table and 4 chairs weigh at least 100 pounds."

To solve this mathematically, we can use algebraic inequalities. The inequality t+4C >_ 100 can be rearranged as t >_ 100-4C. This means that the weight of the table t must be greater than or equal to 100 minus four times the weight of a single chair C.

If each chair weighs less than 25 pounds, then the total weight of the table and 4 chairs combined will be at least 100 pounds. So D is correct answer.

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The increasing the sample size by a factor of 25 will reduce the width of the confidence interval by a factor of 5.

a. Suppose we have a two-sided confidence interval for the population mean with known variance, given by the equation:

Cl is the confidence interval, x is the sample mean, σ is the population standard deviation, n is the sample size, and zα/2 is the z-score corresponding to the desired level of confidence.

The σ are fixed for a given level of confidence, we can achieve this by increasing n by a factor of 4.

Specifically, if we increase the sample size from n to 4n, then the new confidence interval will have half the width of the original interval.

b. If the sample size is increased by a factor of 25, then the term √n in the denominator of the above equation will be replaced.

Therefore, increasing the sample size by a factor of 25 will reduce the width of the confidence interval by a factor of 5.

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The correct answer is option 3. \(4x^2 + 17\) expressions represent the total perimeter of her sandwich, and if x = 1.2, the approximate length of the crust is 21.8 centimeters.

The first expression, \(4x^2 + 17\) , represents the total perimeter of the sandwich. When x = 1.2, the expression evaluates to\(4 * 1.2^2 + 17 = 21.8\).

So the total perimeter of the sandwich is 21.8 cm. However, this length is not the length of the crust, since the length of the crust would only be a portion of the total perimeter.

The expression \(4x^2 + 17\) represents a mathematical formula for the total perimeter of the sandwich. The variable x represents the thickness of each slice of bread. The expression \(4x^2\) represents the total length of the four edges of the bread slices, and the 17 represents the total length of the filling. When x = 1.2, the expression evaluates to 21.8, which represents the total perimeter of the sandwich.

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21/10 divided by 2 4/5 represents the time spent on a shift

The given parameters are

Time = 21/10

Shifts = 2 4/5

This means that:

21/10 divided by 2 4/5 represents:

Time/Shift

i.e. time per shift

Hence, 21/10 divided by 2 4/5 represents the time spent on a shift

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Answer:

the lenght on each sift

Step-by-step explanation:

Answer: A

Step-by-step explanation: 8 - 5 = 3 not 13

Answer:

A

Step-by-step explanation:

8-5=3 not 13