How many sides and angles does a circle have?.

Answer:

to post questions.

Step-by-step explanation:

If the difference between the squares of two numbers is 10 and the difference between the two numbers is 2, their sum would be 5.

An equation is an expression that can be used to show the relationship between variables and numbers.

Let a and b represent the two numbers.

The difference between the squares of two numbers is 10. Hence:

a² - b² = 10

(a - b)(a + b) = 10    (1)

The difference between the two numbers is 2, hence:

a - b = 2

Substituting:

(a - b)(a + b) = 10    

2(a + b) = 10    

(a + b) = 5

Their sum is 5.

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The 3 types of solutions to a system of linear equations are Unique Solution, No Solution and Infinitely Many Solutions.

In the given question we have to find the 3 types of solutions to a system of linear equations.

The 3 types of solutions to a system of linear equations are:

(1) Unique Solution: There is only one solution to a linear equation including one variable. The one and only position at which LHS and RHS are similar on substitution is the unique solution of a linear equation.

(2) No Solution: The system of linear equations has no solution if the graphs of the linear equations are parallel. There is no point in this situation when no lines cross one another.

(3) Infinitely Many Solutions: There are infinite solutions to a 2 linear equation. There is a set of infinite solution points for the linear equation system when each equation's L.H.S changes to its R.H.S

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If a farmer has 50 dibbles then the number of toys would be 84.

What are ratio and proportion?

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other. For example, if there is one boy and three girls, the ratio could be written as 1: 3. (for every one boy there are 3 girls) One-quarter are boys, and three-quarters are girls.

For every 10 toys, there are 6 dibbles.

so for 50 dibble there will be =  10 * 50/6

                                             = 500/6

                                             = 83.33

                                             ≈ 84 toys

Hence, if a farmer has 50 dibbles then the number of toys would be 84.

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[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=15\\ b=20\\ h=10 \end{cases}\implies A=\cfrac{10(15+20)}{2}\implies A=175~ft^2[/tex]

The plane's average speed is 602 miles/hour.

What is the average speed?

The overall distance the object covers in a given amount of time is its average speed. It can be calculated by:

Average Speed = (Total distance)/(Total Time)

Given, Total distance traveled = 3010 miles

Total time taken = 5 hours

Now, the average speed is given by:

average speed = (3010/5) miles/hour

                         = 602 miles/hour

Hence, the plane's average speed is 602 miles/hour.

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The number line which represents the solution set for the inequality is second one.

What is number line?

In elementary mathematics, a number line may be a image of a graduated line that is visual illustration of the important numbers. each purpose of variety|variety} line is assumed to correspond to a true number, and each real to a degree.

Main body:

Start by solving for x.

-1/2x ≥ 4

Multiply each side by 2

-1x ≥ 8

then divide by -1....

but remember to flip your sign its a negative number.

x ≤ -8

hence, the second one is correct.

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Answer:

Because the sum of the length of any two sides of a triangle is greater than the length of the third side

Step-by-step explanation:

Why we Cannot construct a triangle of given sides as 5 cm 5 cm and 10 cm?.

5+5=10 (not possible)

In the exponential decrease function, the rate of decline is approximately 17.7%

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828. An exponential curve grows, or decay depends on the exponential function. Any quantity that grows or decays by a fixed per cent at regular intervals should possess either exponential growth or exponential decay.

In this problem, we can write an exponential function as

58000 = 1763000(1 + x)⁻²¹

Solving for x

x = 0.1765

Converting this into percentage;

x = 0.1765 * 100 = 17.7%

The rate is 17.7%

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The largest possible volume of this box is 1687.5 cm³ with a base edge of 15 cm and a height of 7.5 cm

Let w = length of the base edge

h = height of the box

A box with a square bottom and an open top is to be made from 675 cm² of material. Hence,

675 cm² = w² + 4wh

4wh = 675 cm² - w²

h = (675 cm² - w²)/4w

The volume of the box is the product of the area of the square base and its height. Hence,

V = w²h

Substitute the expression of h to the equation of volume.

V = w²(675 cm² - w²)/4w

V = (675/4)w - (1/4)w³

To obtain the largest volume possible, the first derivative of the volume should be equal to zero.

V'(w) = 0

V = (675/4)w - (1/4)w³

675/4 - (3/4)w² = 0

Simplify and solve for the value of w.

675/4 - (3/4)w² = 0

(3/4)w² = 675/4

w² = 225

w = 15

length of the base edge = 15 cm

Solve for the value of h.

h = (675 cm² - w²)/4w

h = (675 cm² - (15)²)/4(15)

h = 7.5 cm

height of the box = 7.5 cm

Solve for the volume of the box.

V = w²h

V = (15 cm)²(7.5 cm)

V = 1687.5 cm³

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All of the aforementioned are factors that influence whether an infant will show stranger wariness except: A. the infant's ability to regulate emotion.

In Psychology, stranger wariness is sometimes referred to as stranger anxiety or stranger fear and it can be defined as any form of distress and apprehension that is typically experienced by infants (young children or babies) when they are around or within the proximity of individuals who are strange (unfamiliar) to them.

This ultimately implies that, stranger wariness simply refers to a form of distress and apprehension which an infant (young child or baby) experiences when exposed to strangers.

In this context, we can reasonably infer and logically deduce that the ability of an infant (young child or baby) to regulate emotion is not a factor that would influence whether an infant shows stranger wariness.

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Complete Question:

All of these are factors that influence whether an infant will show stranger wariness EXCEPT ______.

A. the infant's ability to regulate emotion

B. the overall temperament of the infant

C. the past experience of the infant

D. the situation in which the infant meets the stranger

Cooper bought 2 apples and 8 bananas.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let x = number of apples

y = number of bananas

If he bought a total of 10 apples and bananas altogether, then

x + y = 10

Rearranging, x = 10 - y     (equation 1)

If each apple costs $1 and each banana costs $0.50, then the total cost of the apples and bananas he bought is $1x and $0.50y, respectively.

If he bought $6 worth of apples and bananas, then the total cost of the fruits is equal to $6.

$1x + $0.50y = $6

x + 0.5y = 6

Substitute equation 1 and solve for y.

x + 0.5y = 6

10 - y + 0.5y = 6

4 = 0.5y

y = 8

number of bananas = 8

Substitute the value of y to equation 1 and solve for x.

x = 10 - y

x = 10 - 8

x = 2

number of apples = 2

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Shuttles A and B leave the station together for the second time in 40 minutes.

The smallest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers

Given that, the two trains leave the station at the same time, but shuttle A returns every 8 minutes while shuttle B returns every 10 minutes.

To find the time when both trains will leave the station together for the second time, find the LCM of 8 and 10.

The LCM of 8 and 10 is 40.

Hence, Shuttles A and B leave the station together for the second time in 40 minutes.

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Pair of primal-dual basic solutions is [tex]x_1 = -3-S_1/2[/tex].

Given that

Let z* be the common (finite) optimal value of P and D.

Suppose that I is a basic infeasible solution to P whose complementary dual basic solution is feasible.

Here, for linear program, we have to

Minimize {x1 : 2x1 - x2 [tex]\geq[/tex] 0, -2x1 + 3x2 [tex]\geq[/tex] - 6}, x1 [tex]\geq[/tex] 0

Stimulate equation 1 and equation 2:

 [tex]2x_1 - x_2 = 0\\\\-2x_1 + 3x_2 = -6[/tex]

Canceling [tex]-2x_2[/tex] from both the equations, we get

[tex]2x_2[/tex] = -6

= [tex]x_2[/tex] = -3

So now,

[tex]2x_1 + 3 + S_1 = 0\\\\x_1 = -3-S_1/2[/tex]

Hence the answer is pair of primal-dual basic solutions is [tex]x_1 = -3-S_1/2[/tex].

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The statement is true.

The quadrilateral is a square if and only if it has four congruent sides and four right angles.

Quadrilateral:

A closed quadrilateral has four sides, four vertices, and four angles. It is a type of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total interior angle of 360 degrees. The Latin words quadra, which means four, and latus, which means sides, are combined to form the English word quadrilateral. A quadrilateral does not necessarily have to have equal lengths on each of its four sides. As a result, depending on the sides and angles, we can have different types of quadrilaterals.

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Slope of graph is -4 and y- intercept is -8.

What is slope of graph?

In math, slope is employed to explain the gradient and direction of lines.

Main Body:

The slope of a line is the ratio of rise to run. Hence, here are the steps to find slope from a graph.

        "up", then the rise is positive;

          "down", then the rise is negative.

           "right", then the run is positive;

           "left", then the run is negative.

hence slope of graph = -8/2 = 4.

And y intercept is point cutting y-axis , so it is -8.

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Option-A is correct that is reality monitoring. One can determine whether or not something happened with the use of context and sensory evidence. This is referred to as reality monitoring.

Given that,

One can determine whether or not something happened with the use of context and sensory evidence. This is referred to as----

We have to fill the blank.

We know that

sensory environment The auditory system adjusts to continuing, presumably irrelevant regularities in the acoustic environment in order to improve reactions to unexpected and possibly significant sounds, according to a prevalent theory in studies of sensory context.

We get,

The capacity to discern internally created information from external reality is known as reality monitoring.

Therefore, Option-A is correct that is reality monitoring. One can determine whether or not something happened with the use of context and sensory evidence. This is referred to as reality monitoring.

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It will be feasible to create a coordinate code that looks like this using the knowledge of the Python computational language:

Writing coordinate code in python:

 def __init__(self, x, y):

        self.x = x

        self.y = y

  def getX(self):  

    directly

         return self.x

  def getY(self):

    return self.y

 def __str__(self):

      return '<' + str(self.getX()) + ',' + str(self.getY()) + '>'

class Coordinate(object):

  def __init__(self,x,y):

      self.x = x

      self.y = y

  def getX(self):

     return self.x

  def getY(self):

      return self.y

  def __str__(self):

     return '<' + str(self.getX()) + ',' + str(self.getY()) + '>'

    def __eq__(self, other):            

      if other.x == self.x and other.y == self.y:

          return True

      else:

          return False

  def __repr__(self):

      return "Coordinate"+ str((self.x, self.y))

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The 49th parallel that separates the united states and Canada is an example of Antecedent border.

Thus this is the meaning Antecedent border.

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The side length of the original square is 3.

Let s = side length of the original square

s + 3 = side length of the new square

Area of a square = s²

A = s²

A = (s+3)²

A = s² + 6s + 9

Area multiplied by 4 = 4 × s²

So,

s² + 6s + 9 = 4s²

4s² - s² - 6s - 9 = 0

3s² - 6s - 9 = 0

s² - 2s - 3 = 0

a = 1

b = -2

c = -3

s = -b ± √b² - 4ac / 2a

= -(-2) ± √(-2)² - 4(1)(-3) / 2(1)

= 2 ± √4+12/2

= 2± √16/2

= 2 ± 4/2

= 2+4/2 or 2-4/2

= 6/2 or -2/2

= 3 or -1

side length can not be negative

Therefore, s = 3

A = s²

A = (3)²

= 9

A = (s+3)²

= (3+3)²

= 36

Hence the side length of the original square is 3.

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∂v⃗ ∂t+(v⃗ ⋅∇⃗⃗) v⃗ +1ρ∇⃗ p=g. The viscosity leads to frictional forces within the fluid. Taking the viscosity into account in the Euler equation finally leads to the Navier-Stokes equation.

For the derivation of the Navier-Stokes equations we consider a fluid element and the forces acting on it. At first we will consider only the motion of the fluid in x-direction. The motion of the fluid element is influenced by the pressure forces acting on the front and back surface of the cubic volume element.

    These pressure forces basically represent normal stresses and are therefore denoted in the following by the Greek symbol σ instead of p. We will see later that in addition to the pressure forces, viscosity-related forces also act perpendicular to the surfaces and contribute to the normal stress.

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Answer:

y=-3x

Explanation:

3=-3(-1)+b

3=3+b

0=b

y=-3x

80.8% of the time, the average yearly snowfall across the 25 years that were randomly chosen will be greater than 72.8 inches.

As the question stated;

The z score is estimated as;

z = (x - μ)/σ

In which,

Mean μ =  70 inche

standard deviation σ = 10 inches.

n = 25

z = (72.8 - 70)/(10/√25)

z = 2.8/2

z = 1.40

Use z-score table to find the value;

P(x > 72.8 inches) = P(z > 1.40)

P(x > 72.8 inches) = 1 - P(z < 1.40)

P(x > 72.8 inches) = 1 - 0.9192

P(x > 72.8 inches) = 0.0808

Thus, 80.8% of the time, the average yearly snowfall across the 25 years that were randomly chosen will be greater than 72.8 inches.

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There are two triangles and both of them are similar, then the value of x will be equal to 4.5.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given diagram shown in the question,

Δ JKL is similar to Δ ABC.

Then,

10x + 9 = 54

Solve the equation for x,

10x = 54 - 9

10x = 45

x = 45/10

x = 4.5

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The linear equation on the given graph can be written as:

y = (-1/4)*x - 6

The general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the line intercepts the y-axis at y = -6, then the value of b is -6, so we can write:

y = a*x - 6

To find the value of the slope we can use another point on the graph, we can see that the line passes through (-8, -4)

Replacing these values we get:

-4 = a*-8 - 6

-4 + 6 = -8a

2/-8 = a

-1/4 = a

The linear equation is:

y = (-1/4)*x - 6

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The amount of rainfall in 1 hour at Barst , Guadeloupe is 2250 mm

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of rainfall in 2 minutes = 75 mm

So , the amount of rainfall in 1 minute = amount of rainfall in 2 minutes / 2

                                                              = 75 / 2

                                                              = 37.5 mm

And , 1 hour = 60 min

So ,

The amount of rainfall in 1 hour = amount of rainfall in 1 minute x 60

                                                    = 37.5 mm x 60

                                                    = 2250 mm

Hence , the amount of rainfall in 1 hour at Barst , Guadeloupe is 2250 mm

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The given statement a stiff equation is a differential equation where some numerical solution approaches are numerically stable unless you use extremely small step sizes.is false.

What is a stiff equation

While integrating a differential equation numerically, one would expect the requisite step size to be relatively small in a region where the solution curve displays much variation and to be relatively large where the solution curve straightens out to approach a line with slope approaching to be zero. This is not always true in all the cases. In some cases in order for a numerical method to give a reliable solution to the differential system sometimes the step size is required to be at an very small level in a region where the solution curve is too smooth. The phenomenon is known as stiffness.

So, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be extremely small.

Therefore, the given statement a stiff equation is a differential equation where some numerical solution approaches are numerically stable unless you use extremely small step sizes. is false.

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Assign digits 1,2,3 to be a head. Assigning 4 - 9 to be a tail would be the most appropriate way.

Option (A) is correct.

What is probability?

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

There are 10 chances to flip the coin.

If we assign digits 1, 2, and 3 to be as a head and if we assign 4 - 9 as a tail,

then we can get the probability of getting head

P(H) = 3/ 10 = 0.3.

Hence,  Assign digits 1,2,3 to be a head. Assigning 4 - 9 to be a tail would be the most appropriate way.

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Answer: I don't know

Step-by-step explanation:

You got this pal!

The two cuts that are being roasted for each time-temperature combination are an example of replication.

Given,

In the question:

The best time-temperature combination for roasting a five-pound cut of lamb. the times to be tested are 45 minutes, 60 minutes, and 90 minutes at temperatures of 350 degrees Fahrenheit and 425 degrees Fahrenheit for each time, with the exception of the 90 minute - 425 degree combination.

Now, According to the question:

In the question it is given that  From 10 identical cuts of lamb, 2 are randomly selected to roast using each of the time-temperature combinations in the same oven. Here it is an act of copying the exact shape size of the lamb in all cuts, which is nothing but replication. Moreover, this replication can help in proper comparison.

which of the following is true?

Hence, The two cuts that are being roasted for each time-temperature combination are an example of replication.

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