There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

Answer:

1. 0^6=0  1^5=1    False

2. 7^3=7*7*7=343 7*3=21  False

3. 2^4=2*2*2*2=16 4^2=4*4=16 True

Answer:

1) False

2) False

3) True

Step-by-step explanation:

1) 0^6 = 0 and 1^5 = 1, so they are not equal.

2) 7^3 = 7*7*7= 343 and 7*3 = 21, so they are not equal.

3) 2^4 = 2*2*2*2 = 16 and 4^2 = 4*4 = 16, so they are equal.

Answer:

Yes they are.

They are congruent because they have two equal angles and one equal side

Answer:

true

depending on how complete the table of values is.

Answer:

\(\boxed {x = -33}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(6 + \frac{x}{3} = -5\)

-Multiply both sides by \(3\):

\(3 \times 6 + \frac{x}{3} = -5 \times 3\)

\(18 + x = -15\)

-Subtract \(18\) to both sides:

\(18 - 18 + x = -15 - 18\)

\(\boxed {x = -33}\)

Therefore, the value of \(x\) is \(-33\).

Answer:

GOOD

Step-by-step explanation:

GOOD

Answer:

228

Step-by-step explanation:

456÷2=228

can i get the big brain

If x and y are integers and x=50y+69, the only option that must be odd is option c, x + 2y.

To determine which of the given expressions must be odd, we need to analyze the equation x = 50y + 69.

Given that x is defined in terms of y, we can substitute this expression into the given options to evaluate their parity.

a. xy = (50y + 69)y = 50y^2 + 69y

The product of two integers will be even if one or both of the integers are even. Since y can be any integer, xy can be even or odd. Therefore, option a is not necessarily odd.

b. x + y = (50y + 69) + y = 50y + 70

The sum of two integers will be even if both integers have the same parity. In this case, since 50y is always even (multiplication by 50), and 70 is even, the sum 50y + 70 is always even. Therefore, option b is not necessarily odd.

c. x + 2y = (50y + 69) + 2y = 50y + 2y + 69 = 52y + 69

Similar to the previous case, the sum 52y + 69 is always odd, regardless of the value of y. Therefore, option c must be odd.

d. 3x - 1 = 3(50y + 69) - 1 = 150y + 207 - 1 = 150y + 206

Since integers 150y is always even (multiplication by 150), and 206 is even, the sum 150y + 206 is always even. Therefore, option d is not necessarily odd.

e. 3x + 1 = 3(50y + 69) + 1 = 150y + 207 + 1 = 150y + 208

As shown before, 150y is always even (multiplication by 150), and 208 is even, so the sum 150y + 208 is always even. Therefore, option e is not necessarily odd.

Therefore, the only option that must be odd is option c, x + 2y.

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False. Each triangle in the STL file is defined by the vertices, but not necessarily by the inward pointing surface normal vector. The surface normal vector is often calculated based on the vertex positions.

False. The STL file is a mesh representation of the CAD model, and it does not contain all the information needed to fully reconstruct the original CAD model. It lacks information such as parametric features, assembly relationships, and design intent, making it difficult to recreate the exact original model.

The option "Increasing the heat exchange area for a heat exchanger" is NOT an advantage of using a lattice structure. Lattice structures are known for their lightweight properties, material-saving benefits, and simplified design and manufacturing processes.

However, increasing the heat exchange area for a heat exchanger is not typically associated with lattice structures. Heat exchangers usually rely on other design considerations, such as fin arrays or extended surfaces, to enhance heat transfer efficiency, rather than lattice structures.

Therefore, increasing heat exchange area is not a direct advantage of lattice structures.

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Answer:

91.26 ft2

Step-by-step explanation:

Given, length of side =.9 ft

The total surface area of a cube = 6× side 2

=6×3.9×3.9

=91.26ft

2

Answer:

Step-by-step explanation:

Given :

=> side length of cube = 12 feet

=> The surface area of cube = 6a²

=> 6×12×12

=> 864 ft ²

The points on the graph at which the tangent line is horizontal are:

(-1.414, 4.886) and (1.414, 1.114).

Since the horizontal tangent is parallel to the x-axis, its slope, or derivative, should also have a value of 0 at the tangent point. This is the key concept for finding the point on the graph where the tangent line is horizontal.  

The function is given as:

y = ¹/₃x³ - 2x + 3

The tangents are horizontal where the derivative is zero. The derivative of the given function is:

y' = x² -2

This is zero when:

0 = x² -2

2 = x²

x  = ±√2 . . . x-values where the derivative is zero

The corresponding y-values are:

y = (¹/₃x² - 2x + 3)

 y = (¹/₃(2) - (2(±√2)) + 3

The turning points are (-1.414, 4.886) and (1.414, 1.114).

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Complete question is:

For the function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact.

y = ¹/₃x³ - 2x + 3

To find the points on the graph at which the tangent line is horizontal, we need to find the x-values where the derivative of the function is equal to zero.

To find the points on the graph at which the tangent line is horizontal, we need to find the x-values where the derivative of the function is equal to zero. The derivative represents the rate of change or slope of the function at any given point.

Let's say we have a function f(x). To find the derivative of f(x), we differentiate the function with respect to x. The resulting derivative function is denoted as f'(x) or dy/dx.

Next, we set the derivative function f'(x) equal to zero and solve for x. The x-values obtained from this equation represent the points on the graph where the tangent line is horizontal.

If there are no solutions to the equation f'(x) = 0, it means there are no points on the graph where the tangent line is horizontal.

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Using the elimination method, the price of one t-shirt is $30 and one key-chain is $11.

In the given question, Elizabeth's family went to NYC for their vacation.

At the gift shop on Liberty Island, Valerie bought three t-shirts and four key chains for $134, and Jennifer bought four t-shirts and five key chains for $175.

We have to find the price of each item.

Let the price of one t-shirt = $x

Let the price of one Key chain = $y

According to question

Price of three t-shirts and four key chains = $134

So the equation is

3x + 4y = $134……………….(1)

Also,

Price of four-shirts and five Key chains = $175

So the equation is

4x+5y = $175……………………..(2)

Now solving the equation using the elimination method.

Multiply Equation (1) by 5 and Equation (2) by 4, we get

15x+20y = 670....................(3)

16x+20y = 700......................(4)

Subtract equation 4 and 3, we get

x = 30

Now put the value of x in equation 1,

3*30 + 4y = $134

90+4y=$134

Subtract 90 on both side, we get;

4y = 44

Divide by 4 on both side, we get;

y = 11

Hence, the price of one t-shirt is $30 and one key-chain is $11.

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We are given the following statement:Wilfredo, who is currently 42 years old, is 8 years older than twice Alejandro's age. We have to determine Alejandro's age.Let's suppose the age of Alejandro to be A.So, according to the given statement, the age of Wilfredo can be calculated by the following equation:Wilfredo's age = 8 + 2ANow, we have been given that Wilfredo's age is 42 years. Therefore:42 = 8 + 2A⇒ 2A = 42 - 8 = 34⇒ A = 17Therefore, Alejandro's age is 17 years old.

Alejandro's age is given as follows:

17 years old.

Alejandro's age is obtained solving a system of equations, considering it's age as x.

Double his age is given as follows:

2x.

Eight more than double is given as follows:

2x + 8.

Wilfredo's age is of 42, hence the value of x is given as follows:

2x + 8 = 42

2x = 34

x = 17.

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Answer:

because its 5 squared, therefore, the first number can not be a sqaure number

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

5^9

The power is an odd number

To be a perfect square, the power has to be an even number

The area of the Rhombus ABCD is 1.2 square meter.

What is Rhombus?

A quadrilateral with four equal-length sides is known as a Rhombus in plane Euclidean geometry. Another name for this shape is an equilateral quadrilateral because all of its sides are equal in length.

Let ABCD be the given Rhombus of Perimeter = 52 cm.

Since all the sides are equal to each other.

Therefore, each side of Rhombus measures = 13 cm

So,

AD = CD = 13 cm and AC = 24 cm.

Area of the triangle ACD = √[ s (s - a) (s - c) (s - d) ] ….. Heron’s Formula.

where s = semi-perimeter,

a, c, and d are side measures.

s = (1/2) [ 13 + 13 + 24 ] = 25

Area (A) = √[ 25 (25 – 13) (25 – 13) (25 - 24) ] = 60

Hence Area of the entire Rhombus = 2 * 60 = 120 cm²

Convert 120 cm^2 into meter square

⇒ 120 cm^2 = 1.2 m^2

Hence, the area of the Rhombus ABCD is 1.2 square meter.

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By taking the quotient between the total number of hours and the number of shifts each shift is 1.5 hours long.

We know that Paolo worked (2 + 3/4) hours this week, and that is equivalent to (1 + 5/6) shifts.

To find the number of hours that each shift takes, we need to take the quotient between the total number of hours and the number of shifts:

\(\frac{(2 + 3/4)h}{1 + 5/6} = 1.5 h\)

This means that each shift is 1.5 hours long.

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Answer:

7/9 * 27/5 = 189/45= (reduced) 4 1/5

7/4 *25/6 = 175/24 (reduced) = 7 7/24

Step-by-step explanation:

for the first turn 5 2/5 into improper fraction  5*5=25 + 2 = 27/5

multiply numerator 7*27= 189

9*5=45 189/45 can be reduced

divide both by 9 = 21/5 then make imxed number 4 and 1/5

Answer:

a) 21/5

b) 175/24

Step-by-step explanation:

a) 7/9 x 5 2/5 = 7/9 x 27/5

7/9 x 27/5 = 189/45 = 21/5 (if you wanted it shortened)

b) 1 3/4 x 4 1/6 = 7/4 x 25/6

7/4 x 25/6 = 175/24

490

472 <490<500

it fits the criteria

Can be a useful tool for exploring the behavior of the solution to the ODE and understanding the accuracy of the approximation. The given statement is true.

True. It is possible to set up a spreadsheet to compute the iterations of Euler's method for approximating solutions to first-order ordinary differential equations (ODEs).

Euler's method is a numerical method used to approximate solutions to first-order ODEs. It involves approximating the solution to the ODE at discrete time steps using a simple iterative formula.

To set up a spreadsheet to compute the iterations of Euler's method, we can use the following steps:

Set up the time step, h. This is the distance between the discrete time points at which we will approximate the solution. We can choose a small value for h to get more accurate approximations, but this will increase the number of iterations needed.

Set up the initial condition. This is the value of the solution at the initial time point, t_0.

Define the ODE. This is the equation that describes how the solution changes with time. For example, if we are approximating the solution to the ODE dy/dt = f(t,y), we would enter the function f(t,y) in a cell.

Set up the iterative formula. Euler's method uses the formula y_(n+1) = y_n + hf(t_n,y_n), where y_n is the approximate solution at time t_n, and y_(n+1) is the approximate solution at time t_(n+1) = t_n + h.

Fill in the spreadsheet with the initial condition and the iterative formula. We can use the copy and paste functions to quickly fill in the formula for each time step.

Finally, we can graph the approximate solution to the ODE using the spreadsheet's graphing capabilities.

In summary, it is indeed possible to set up a spreadsheet to compute the iterations of Euler's method for approximating solutions to first-order ODEs. This can be a useful tool for exploring the behavior of the solution to the ODE and understanding the accuracy of the approximation.

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Answer:

9

Step-by-step explanation:

triangle AEB is similar to triangle ADC so their sides are proportional.  AE/AD = AB/AC .

Step-by-step explanation:

Nsjssjsjsjshsnmsksjnsnsns

The measure of the vertex angle A is 56 degrees, and the measure of each base angle is 62 degrees in the isosceles triangle ABC.

Let's denote the measure of the vertex angle A as x and the measure of each base angle as y.

According to the given information, we have the following equation:

x = (1/2)y + 25

Since triangle ABC is isosceles, the base angles are equal. Therefore, we can write:

y + y + x = 180 (sum of angles in a triangle)

Simplifying the equation:

2y + x = 180

Now we can substitute the value of x from the first equation into the second equation:

2y + ((1/2)y + 25) = 180

Multiplying through by 2 to eliminate the fraction:

4y + y + 50 = 360

Combining like terms:

5y + 50 = 360

Subtracting 50 from both sides:

5y = 310

Dividing both sides by 5:

y = 62

Substituting the value of y back into the first equation to find x:

x = (1/2)(62) + 25

x = 31 + 25

x = 56

Therefore, the measure of the vertex angle A is 56 degrees, and the measure of each base angle is 62 degrees in the isosceles triangle ABC.

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An equation for this statement "The sum of seven times a number and 16 is 163," is 7n + 16 = 163.

The solution is 21.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The sum of seven times a number and 16 is 163," we can logically deduce the following algebraic equation;

7n + 16 = 163

7n = 163 - 16

7n = 147

n = 147/7

n = 21.

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An expression equivalent to (5x2 + 3x + 4)-(2x2 + 1)-(7x + 3) using the fewest number of possible terms is calculated to be 3x² - 4x.

We can simplify the given expression by combining like terms. By doing so, we can obtain an equivalent expression with the fewest number of possible terms. In this case, we combine the terms with the same variable and exponent and simplify the constant terms to get the simplified expression of 3x² - 4x.

(5x² + 3x + 4) - (2x² + 1) - (7x + 3)

= 5x² + 3x + 4 - 2x² - 1 - 7x - 3 (distributing the negative sign)

= (5x² - 2x²) + (3x - 7x) + (4 - 1 - 3)

= 3x² - 4x

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Answer:

3x -4y-6

Step-by-step explanation:

1/3( 9x -12y-18)

Distribute the 1/3 to each term in the parentheses

1/3 * 9x  -1/3*12y  -1/3*18

3x -4y-6

Answer:

  (a)  Inconsistent

Step-by-step explanation:

Two linear equations can be compared by putting both of them in standard form. Here, that means removing a common factor from the coefficients of the first equation.

  3x -6y = -12 . . . . given first equation

  x -2y = -4 . . . . . . divide by 3

Compare this to the second equation:

  x -2y = -8

The constants (-4, -8) are different, so there are no values of x and y that can satisfy both equations. The equations are described as inconsistent.

Answer:

Step-by-step explanation:

Equation 1

Equation 2

On comparison, it is seen that the slopes are same, but the y-intercepts are different.

This means this has no solution, or the graph is inconsistent.

Answer:

C)

Step-by-step explanation:

\(x^3 -4x^2+3x-12\)

\(=x^2(x-4)+3(x-4)\)

\(=(x-4)(x^2+3)\)

Answer:

2/8 or 1/4 simplified

Step-by-step explanation:

If you count how many equal sections there are, you will see there are 8, and 2 or those 8 sections are red so that would easily give you your answer, 2/8.

And to simplify it divide both the top and the bottom by 2 and that gives you 1/4.

Hope the helps! :)

The probability of a red on this spinner would be 1/4.

Used the concept of probability that states,

The term probability refers to the likelihood of an event occurring. Probability means possibility.

Given that,

A spinner is shown in the image.

Since there are a total of 8 parts with different colors.

And, the number of red colors on this spinner is 2.

Hence, the probability of a red on this spinner would be,

P = 2 / 8

P = 1 / 4

Therefore, the probability is 1/4.

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