a number is greater than 12​

Answer:

The student is incorrect and for parallelograms to be equal, included angles between them too should be equal.Explanation:When two quadrilaterals MNOP=TQRS, then not only all corresponding sides are equal, all corresponding angles too are equal.As MNOP and TQRS are parallelograms their diagonals bisect each other. And as MO=TR and NP=QS, it is apparent (see figure below) that MX=XO=TY=YR and NX=XP=SY=YQ. And hence two sides of all the four triangles (in each of the parallelogram) are equal.However, the angles included between the two diagonals can change (as is seen from the figure below),and hence MNOP≠TQRS

Step-by-step explanation:

The vectors u, v, and w are linearly independent if the only scalars that will make the equation au + bv + cw = 0 true are a = 0, b = 0, and c = 0. If there are other scalars that are not all zero that will make the equation true, then the vectors are linearly dependent.

To determine if the vectors are linearly independent or dependent, we can set up a matrix with the vectors as columns and use row operations to reduce it to reduced row echelon form. If the matrix has a pivot in every column, then the vectors are linearly independent. If there is a column without a pivot, then the vectors are linearly dependent.

Without the actual values of the vectors u, v, and w, we cannot determine if they are linearly independent or dependent. If they are linearly dependent, we can find the scalars that are not all zero that will make the equation true by solving the system of equations represented by the matrix. If they are linearly independent, the only scalars that will make the equation true are a = 0, b = 0, and c = 0.

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The solution (quotient) when \(\frac{4}{5}\) is divided by \(\frac{1}{3}\) is \(2\frac{2}{5}\)

To determine the solution of 4/5 divided by 1/3,

First, let us write the fractions properly before carrying the division operation

That is,

\(\frac{4}{5}\) divided by \(\frac{1}{3}\)

Now, we will carry out the division operation

\(\frac{4}{5} \div \frac{1}{3} = \frac{4}{5} \times \frac{3}{1}\)

Then,  

\(\frac{4}{5} \times \frac{3}{1} = \frac{12}{5}\)

\(= 2\frac{2}{5}\)

Hence, the solution (quotient) when \(\frac{4}{5}\) is divided by \(\frac{1}{3}\) is \(2\frac{2}{5}\)

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Aurora has 10 camels, Lily has 5 camels, and Maja has 4 camels.

Multiplication is a type of mathematical operation. The repetition of the same expression types is another aspect of the practice.

For instance, the expression 2 x 3 indicates that 3 has been multiplied by two.

The total number of camels left by the pharaoh is 19.

Aurora, the eldest daughter, receives 1/2 of the camels:

1/2 x 19 = 9.5 camels

As we cannot divide a camel in half, we can round it up or down. In this case, we will round it down to 9 camels.

Lily, the middle daughter, receives 1/4 of the camels:

1/4 x 19 = 4.75 camels

We will round down to 4 camels.

Maja, the youngest daughter, receives 1/5 of the camels:

1/5 x 19 = 3.8 camels

We will round down to 3 camels.

The uncle lends them one camel.

Therefore, Aurora has 9 + 1 = 10 camels, Lily has 4 + 1 = 5 camels, and Maja has 3 + 1 = 4 camels.

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For Sonja to determine the location of the new triangle, Sonja must subtract (5,-1) from the coordinates of the original triangle, before rotating by \(90^o\).

From the question, we have:

\(C = (5,-1)\) --- the center of rotation

Let the vertices of the triangle be (x,y).

First, she must subtract the coordinates of the center of rotation from the vertices of the triangle.

This gives:

\((x,y) \to (x - 5, y + 1)\)

Then the vertices are rotated by \(90^o\)

The rule of \(90^o\) rotation is:

\((x,y) \to (-y,x)\)

So, we have:

\((x - 5,y + 1) \to (-y - 1,x - 5)\)

From the attachment, the coordinates of the triangle are: (0,2), (0,5) and (4,2)

After rotation, the coordinates are calculated as follows:

\((0,2) \to (-2-1,0-5) \to (-3,-5)\)

\((0,5) \to (-5-1,0-5) \to (-6,-5)\)

\((4,2) \to (-2-1,4-5) \to (-3,-1)\)

Hence, the coordinates are: (-3,-5), (-6,-5) and (-3,-1)

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Answer:

39 Students

Step-by-step explanation:

Answer:

there are 38 students

Step-by-step explanation:

9+10=19  

19+7= 26

26+18=38

Answer:

None of them are correct maybe?

Step-by-step explanation:

Because the length of bd is 56 and AE is would be bigger but it is not double the size of it so it would be none of these are correct.

Answer:

x = - 1

Step-by-step explanation:

Given:

8(x-10)=-88

Solve:

8(x-10)=-88

Using the distributive property.

How to use distributive property:

Multiply the outside number by the inside parenthesis numbers.

Like this;

8x - 80 = -88

Now add 80 to both sides:

8x - 80+80 = -88+80

8x = -8

Divide both sides by 8:

x = -1

Check:

We can substitute x which is -1 into the equation;

8(-1-10)

8*((-1)-10)

= -88

Hence, x = -1

RevyBreeze

Answer:

A'(3, 2 ), B'(6, 6 ),C'(6, - 3 )

A translation of 2 units right is equivalent to adding 2 to the x- coordinate with no change to the y- coordinate.

A(1, 2 ) → A'(1 + 2, 2 ) → A'(3, 2 )

B(4, 6 ) → B'( 4 + 2, 6 ) → B'(6, 6 )

C(4, - 3 ) → B'(4 + 2, - 3 ) → B'(6, - 3 )

Step-by-step explanation:

Hope this helps:)

The cost equation is used to estimate total costs associated with a given level of activity or output, where f is the fixed cost and v is the variable cost per unit of activity. The variable cost component (vx) changes in proportion to the level of activity or output (x), whereas the fixed cost component (f) remains constant regardless of the level of activity.

In the cost equation tc = f + vx, x is best described as the level of activity or the quantity of the input variable. The cost equation is a mathematical representation of the relationship between the total cost of production and the level of activity or the quantity of the input variable. The variable x represents the number of units produced or the amount of resources used in the production process, which can be measured in terms of labor hours, machine hours, or any other relevant unit of measure. The variable v represents the variable cost per unit of activity, and f represents the fixed cost of production.

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The survey does not result in a simple random sample of Cubs fans who sit in the bleachers. So, option E) is correct.

Simple random sampling is a method of selecting a sample from a population such that each element in the population has an equal chance of being selected. This is achieved by using a random number generator or by randomly assigning a number to each element in the population and then selecting a sample based on those numbers.

In this case, the survey plan to select every one-hundredth fan entering the bleachers is not a simple random sample because not every sample of the intended size has an equal chance of being selected. For example, the first fan entering the bleachers has a 1 in 100 chance of being selected, while the second fan has a 2 in 100 chance of being selected. This creates a non-uniform selection process, which is not representative of simple random sampling.

Therefore, the survey plan to select every one-hundredth fan entering the bleachers results in a form of systematic sampling, which is not a simple random sample.

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Complete Question: One afternoon, a surveyor intends to pick every fan entering the bleachers to get the views of those who sit in them at Wrigley Field. Will this lead to a straightforward random sample of Cubs supporters seated in the stands?

A. Yes, as each bleacher spectator has an equal chance of getting chosen.

B. The answer is yes, but only if the bleachers have a single entrance.

C. The control group will consist of the 99 out of 100 bleacher spectators who were not chosen.

D. The answer is "yes," as this is an illustration of systematic sampling, a subset of basic random sampling.

E. No, since there are unequal odds of selecting each sample of the intended size.

The solution to the initial value problem is y(t) = -e^(2t) + te^(2t).

We have,

The characteristic equation is r² - 4r + 4 = 0, which can be factored as

(r - 2)² = 0.

Hence, the roots are r = 2 (multiplicity 2).

The general solution of the differential equation is then

y(t) = c1 e^(2t) + c2 t e^(2t),

where c1 and c2 are constants.

Using the initial conditions, we have y(0) = -1, which gives c1 = -1.

Also,

dy/dt(0) = -2, which gives c2 = 1.

Therefore,

The solution to the initial value problem is y(t) = -e^(2t) + te^(2t).

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The Second graph represent the equations with perfectly paired form.

According to the statement

we have to find that the which graph is a correctly paired or not.

So, For this purpose, we know that the

A Graph is a diagram that represents the variation of a variable in comparison with that of one or more other variables.

And from the given information:

The equations are:

y=2x+2 and y=2^x

And from the image it is clear that the second graph is a correctly paired rather than other graphs.

because it shows a perfect arrangement on the graph with respect to the points.

for more understanding please see the image below.

So, The Second graph represent the equations with perfectly paired form.

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If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.

To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.

The total cost of the dryer can be calculated as follows:

Cost of dryer = $698.27

Total credit card charges = 12 x $1.25 = $15

Total late fees = 4 x $35 = $140

Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees

= $698.27 + $15 + $140

= $809.27

Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.

So, correct option is A.

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The correct answer is (a) fixed number of trials because there is no fixed number of trials in this case.

The doctor has the patients flip the coins until the end of the session, and then asks them to report the number of heads they got. Which of the following conditions for using the binomial model is not satisfied?The doctor has coins with a 50% chance of coming up heads. The doctor has patients flip the coins until the end of the session. The patients will then report how many heads they got. Which of the following conditions for using the binomial model is not met?The condition that is not satisfied for the use of the binomial model is a fixed number of trials. Since there is no fixed number of trials, the doctor may have to flip the coins several times. It is essential that the number of trials is fixed so that the binomial model can be used properly.In a binomial experiment, there are a fixed number of trials, each trial has two possible outcomes, the trials are independent, and the probability of success is the same for each trial. If any of these conditions are not met, the binomial model cannot be used. Therefore, the correct answer is (a) fixed number of trials because there is no fixed number of trials in this case.

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The solution is y is less than or equal to -106. The given inequality can be translated as "y - 53 is less than or equal to -159". This means that y decreased by 53 is at most -159.

To solve for y, we need to isolate y on one side of the inequality. We start by adding 53 to both sides:

y - 53 + 53 ≤ -159 + 53

Simplifying, we get:

y ≤ -106

Therefore, the solution is y is less than or equal to -106.

This inequality represents a range of values of y that satisfy the given condition. Specifically, any value of y that is less than or equal to -106 and at least 53 less than -159 satisfies the inequality. For example, y = -130 satisfies the inequality since it is less than -106 and 53 less than -159.

It is important to note that inequalities like this are often used to represent constraints in real-world problems. For instance, if y represents the number of items that can be produced in a factory, the inequality can be interpreted as a limit on the maximum number of items that can be produced. In such cases, it is important to understand the meaning of the inequality and the context in which it is used to make informed decisions.

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The scale of the drawing in inches to feet is 1:16

The area of garden = 12ft x 24ft

The dimensions of the scale drawing = 3in x 6xin

Where Length of the drawing = 3in

Where breadth of the drawing = 3in

Where Length of the garden = 12ft

Where breadth of the garden = 24ft

We know, 1 ft = 12 in

To get the scale of the drawing we divide the dimensions of the drawing to the area of the garden

3 x 6/ 12 x 24

1 x 6/ 4 x 24

1 x 1/ 4 x 4

1/16

Thus, the scale of the drawing in inches to feet is 1:16

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The factored form of the given trinomial expression: x² + 0x - 9 after using the diamond method is (x + 3)(x - 3).

The diamond method, also known as the box method or the X method, is a visual method for factoring quadratic trinomials of the form ax^2 + bx + c, where a, b, and c are constants.

The diamond method involves four steps:

Step 1: Write down the trinomial in standard form: ax² + bx + c.

Step 2: Draw a box and divide it into four cells by drawing a diagonal line.

Step 3: Write the coefficient a in the upper left cell of the box and the constant term c in the lower right cell.

Step 4: Find two numbers whose product is ac (the product of the coefficients of the leading and constant terms) and whose sum is b (the coefficient of the middle term).

Yes, there is another way to rewrite the trinomial that can make factoring easier. The trinomial x² + 0x - 9 can be rewritten as:

x² - 9

This is a difference of squares because 9 is a perfect square and can be written as 3². So, we can factor this expression using the formula for the difference of squares:

x² - 9 = (x + 3)(x - 3)

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Answer:

20

Step-by-step explanation:

The pythagorean theorem states that

\(a^2+b^2=c^2\)

So \(16^2 + 12^2 = c^2\\256+144 = c^2\\400 = c^2\)

You would then do

\(400 = c^2\\\sqrt{400} = c\)

Because a square root is the opposite of a square.

\(\sqrt{400} = 20\)

because 20 * 20 = 400

To get the area bounded by y = 3√(81 - 9x^2), x = 0, y = 0, and x = 1, we need to integrate the function with respect to x from 0 to 1 and round the result to four decimal places and the area is 6.2697.

Step 1: Set up the integral
∫(3√(81 - 9x^2)) dx from x = 0 to x = 1
Step 2: Integrate the function
Unfortunately, this integral cannot be solved analytically using elementary functions. However, you can approximate the value using numerical integration methods, such as the Trapezoidal Rule, Simpson's Rule, or a numerical integration tool.
Using a numerical integration tool, the approximate value of the integral is:
Area ≈ 6.2697
Thus, the area bounded by y = 3√(81 - 9x^2), x = 0, y = 0, and x = 1 is approximately 6.2697 when rounded to four decimal places.

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Answer:

A- 3x2= 6

6 divided by 2 is 3

B- flip it around with division first

Step-by-step explanation:

Answer: That would odd.

Answer:

yes

Step-by-step explanation:

when y equals 0, x equals 0 also

y = x will produce a straight line passing through the point of origin (0,0)

The cost of polishing the floor of the square hall is ₹2343.75

The Side of Square Hall = 12.5 m

The cost of polishing the floor per meter sq. = ₹ 15

We have to find the cost of polishing the floor.

First we will calculate the area of floor of the square hall.

Area of a square is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure. The measurement is done in square units, with the standard unit being square meters (\(m^{2}\)).

Area of square=\((12.5)^2\)

Area of square =\(12.5 \times 12.5\)

Area of square =156.25

The area of the floor of Square Hall is 156.25 \(\mathrm{~m}^2$\)

Per square meter cost of polishing the floor is ₹15,

To find the cost of polishing the floor of the square hall of area 156.25 sq. m, simply multiply 15 by the area of the floor of the square hall.

Therefore, the cost of polishing,

=15×156025

=2343.75

Therefore, the cost of polishing is ₹2343.75.

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Find the cost of polishing the floor of a square hall at the rate of 15 per meter sq, if each side of the hall is 12.5 m.​

Answer:

The answer is 4

Step-by-step explanation:

4x9=36

2x4=8

Hope this helps

Greatest common factor (GCF) of 36 and 8 is 4

Answer:

Step-by-step explanation:

Rational fraction is a fraction where a and/or b are fractions and b is not equal to 0.

Any function that can be expressed mathematically as a rational fraction—an algebraic fraction in which both the numerator and the denominator are polynomials—is referred to as a rational function. The polynomials' coefficients don't have to be rational numbers; they can be found in any field K. Any function that can be expressed as a polynomial divided by a polynomial is said to be rational. The domain of a rational function is the set of all numbers except the zeros of the denominator since polynomials are defined everywhere.

Given Data

a_____________ is a fraction where a and/or b are fractions and b is not equal to 0.

A rational fraction is a fraction where a and/or b are fractions and b is not equal to 0.

Example 1. f(x) =\(\frac{x}{x-3}\)

The denominator has only one zero, x = 3.

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To develop the Branch and Bound (B&B) tree for the given problem, follow these steps:

1. Start with the initial B&B tree, where the root node represents the original problem.

2. Choose \($x_1$\) as the branching variable at node 0. Add two child nodes: one for

\($x_1 \leq \lfloor x_1 \rfloor$ \\(floor of $x_1$) and one for $x_1 \geq \lceil x_1 \rceil$ (ceiling of $x_1$).\)

3. At each node, perform the following steps:

  - Solve the relaxed linear programming (LP) problem for the node, ignoring the integer constraints.

  - If the LP solution is infeasible or the objective value is lower than the current best solution, prune the node and its subtree.

  - If the LP solution is integer, update the current best solution if the objective value is higher.

  - If the LP solution is non-integer, choose the fractional variable with the largest absolute difference from its rounded value as the branching variable.

4. Repeat steps 2 and 3 for each unpruned node until all nodes have been processed.

5. The node with the highest objective value among the integer feasible solutions is the optimal solution.

6. Optionally, backtrace through the tree to retrieve the optimal solution variables.

Note: The specific LP problem and its constraints are missing from the given question, so adapt the steps accordingly.

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