I don't really get translations

Answer:

5000000mm

im smart

Answer:

5,000,000mm

Step-by-step explanation:

1km = 1000m

1 m = 100cm

1cm = 10 mm

5km = 5000m

5000m = 500,000cm

500,000cm = 5,000,000mm

Answer:

5000 AED is the typical max limit for most banks.

Step-by-step explanation:

5000 AED is the typical max limit for most banks. A few would allow you to withdraw up to 8000, if you use the ATM machines of the bank that issued the card. So, 3500 AED shouldn't be a problem.

Thus, a line graph would be more appropriate for this particular data set to observe the changes in the miles driven over a certain number of days.

Data refers to any collection of facts, figures, or information that can be processed, analyzed, and interpreted to gain insights and knowledge. It can be in various forms such as text, images, audio, video, or numerical values, and can be collected from various sources such as surveys, sensors, social media, or transactions.

Given by the question: -

The most appropriate graph to construct for the given data is a line graph because it would show how the miles driven change over time between each individual data point. A line graph is useful for showing trends or changes over time, and it allows us to see the progression of the miles driven during the trip. This graph would have days on the x-axis and miles driven on the y-axis, with a line connecting the data points. This would help to visualize any patterns or trends in how the miles driven change over time during the trip.

On the other hand, a scatter plot would show the relationship between the two variables, but it would not show the changes over time. While scatter plots are useful for showing relationships between variables, they do not show the order or progression of the data points over time.

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(a) The given statement "All linear programming problems should have a unique solution, if they can be solved." is false.

(b) The given statement "Binding constraints are constraints that hold as an equality at the optimal solution." is true.

(c) The given statement "Nonbinding constraints will always have slack, which is the difference between the two sides of the inequality in the constraint equation." is true.

a. The statement "All linear programming problems should have a unique solution, if they can be solved." is false because linear programming problems can have multiple optimal solutions or even no solution in some cases.

b. The statement "Binding constraints are constraints that hold as an equality at the optimal solution." is true because binding constraints are constraints that hold as an equality at the optimal solution.

c. The statement "Nonbinding constraints will always have slack, which is the difference between the two sides of the inequality in the constraint equation." is true because Nonbinding constraints will always have slack, which is the difference between the two sides of the inequality in the constraint equation.

d. ii. When using the graphical solution method to solve linear programming problems, the set of points that satisfy all constraints is called the feasible region.

e. iv. The above linear programming problem has more than one optimal solution.

f. The correct statements are:
  i. In some cases, a linear programming problem can be formulated such that the objective can become infinitely large (for a maximization problem) or infinitely small (for a minimization problem).
  iii. If a manufacturing process takes 3 hours per unit of x and 5 hours per unit of y and a maximum of 100 hours of manufacturing process time are available, then the mathematical formulation of this constraint is 3x+5y≤100.

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The perimeter of the field is 100 feet.

The length of the field is 32 feet, and the width is 6 yards.

Since 1 yard is equivalent to 3 feet, the width is 18 feet.

To find the perimeter, add the lengths of all sides.

There are two lengths and two widths in a rectangle like this field.

Therefore, we have to multiply each length by two and each width by two and add them together.

Perimeter = 2(32 ft) + 2(18 ft)

Perimeter = 64 ft + 36 ftPerimeter = 100 ft

Therefore, the perimeter of the field is 100 feet.

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A square is any 2-dimensional shape that has all 4 sides equal and opposite sides parallel.

A square is typically identified when we see any shape which has 4 sides. These sides are equal to one another. The opposite sides are parallel. Another very important feature to be noted is that a square makes an angle of 90° with its adjacent sides.

If the angles are not 90°, then the shape is a rhombus and not a square.

A perfect example of a square is the game board of ludo. That is a perfect square. Another example is a handkerchief.

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Answer:

2+2+28+28=60 is the answer of the perimeter

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The length of the rectangle can be 19 cm, while its width will be 17 cm.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Let the length of the rectangle be represented by x centimeters. Given the width of a rectangle is 2 cm less than the length. Therefore, the width of the rectangle is (x-2) centimeters.

Since the perimeter of the rectangle should be greater than 28 inches, therefore,

Perimeter of the rectangle > 28 inches × 2.54 = 71.12 centimeters

Now, given the perimeter is greater than 28 inches. Therefore,

2[x+(x-2)] > 71.12

x + (x-2) > 35.56

x + x - 2 > 35.56

2x - 2 > 35.56

2x > 37.56

x > 18.78

x = 19

Thus, the length of the rectangle can be 19 cm, while its width will be 17 cms.

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The value of x that will make the equation of the model true is: x = 5.8.

Create an equation using the model given, then isolate the variable in order to determine its value, which will make the equation true.

Given the model above, the following equation would be created below:

x + x + 9.4 = 21

Combine like terms

2x + 9.4 = 21

Subtract 9.4 from both sides

2x + 94 - 9.4 = 21 - 9.4 [subtraction property of equality]

2x = 11.6

Divide both sides by 2:

2x/2 = 11.6/2 [division property of equality]

x = 5.8

The value of x is: 5.8.

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Answer:

2.15

Step-by-step explanation:

I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):

(-1/4)*(-8.6)

= (8.6/4)

= 2.15

Answer: m=6

Step-by-step explanation:

\(9+12m=6+15\left(m-1\right)\)

\(6+15\left(m-1\right)=15m-9\)

\(9+12m=15m-9\)

subtract 9 on both sides

\(9+12m-9=15m-9-9\)

\(12m=15m-18\)

subtract 15m on both sides

\(12m-15m=15m-18-15m\)

\(-3m=-18\)

divide by -3 on both sides

\(\frac{-3m}{-3}=\frac{-18}{-3}\)

since \(\frac{-a}{-b}=\frac{a}{b}\)

\(\frac{-18}{-3}=6\)

\(m=6\)

Answer:

y = -2x - 6

Step-by-step explanation:

y = -2x + b

-4 = -2(-1) + b

-4 = 2 + b

-6 = b

y = -2x - 6

Answer:

5

Step-by-step explanation:

- ohcogcogdgsogxicrkrxlgx

We have

Then, the diference is

So, Jada was 1/5 seconds faster than the second place.

According to the described way the volume of solid S is 156.25π.

Since the cross sections perpendicular to the x-axis and the base are semicircles, we know that the radius of each cross section is given by:

r = y = √(25 -\(x^{2}\) )  

where x is the distance from the center of the circle to the cross section, which lies along the x-axis.

The circle  \(x^{2}\)+ \(y^{2}\) = 25 has a radius of 5, and its center is at the origin (0,0). Thus, the farthest a cross section can be from the center of the circle is at x = 5 or x = -5.

To find the volume of the solid S, we need to integrate the area of each cross section over the range from x = -5 to x = 5. The area of each cross section is given by:

A = (1/2)πr^2

Substituting the expression for r above, we get:

A = (1/2)π(25 - x^2)

Integrating this expression over the range from x = -5 to x = 5 gives us:

V = ∫(-5)^5 (1/2)π(25 - x^2) dx

Using integration rules, we can evaluate this integral to get:

V = (1/2)π ∫(-5)^5 (25x - x^3) dx

V = (1/2)π [ (25/2)x^2 - (1/4)x^4 ]|_-5^5

V = (1/2)π [ (25/2)(5^2) - (1/4)(5^4) - (25/2)(-5^2) + (1/4)(-5^4) ]

V = (1/2)π [ 625/2 - 625/4 + 625/2 - 625/4 ]

V = (1/2)π (625/2)

V = (312.5/2)π

V = 156.25π

Therefore, the volume of solid S is 156.25π.

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Answer:

55 Miles total

Step-by-step explanation:

The values of a, h and k for the  given quadratic function are:

a = -6, h = -5 and k = -1

What is vertex form?

This is one way of writing a quadratic function:

f(x) = a(x-h)² +k

(h, k) = vertex

a = vertical stretch

According to the given question:

We're given:

f(x)= -6x² - 60x - 151

To write a quadratic function in vertex form, we must complete the square.

⇒ Put parentheses around the first two terms containing x and x²:

f(x)= (-6x² - 60x) - 151

⇒ Factor out -6 (keeping the x's in the parentheses):

f(x)= -6(x² + 10x) - 151

⇒ To complete the square, add, inside the parentheses, the square of half the coefficient of x.

⇒ In this case, the coefficient of x is 10.

⇒ Half of this value is 5.

⇒ The square of 5 is 25.

⇒ Add this inside the parentheses:

f(x) =  -6(x² + 10x + 25) - 151

⇒ Now, we cannot randomly introduce a new value into a function. To balance the +25, subtract -6(25) outside the parentheses:

f(x) =  -6(x² + 10x + 25) - 151 - (-6 x 25)

f(x) =  -6(x² + 10x + 25) - 151 - (-150)

f(x) =  -6(x² + 10x + 25) - 151 + 150

f(x) =  -6(x² + 10x + 25) - 1

⇒ Finally, complete the square.

Remember: (a + b)² = a² + 2ab + b²

In this case, a is x, and b is 5:

f(x) = -6(x + 5)² - 1

On comparing with f(x) = a(x-h)² +k we get the values of a, h and k as:

a = -6

h = -5

k = -1

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a) \(\sigma^2\) is an unbiased estimator of \(\sigma2\). b) the mean squared error of \(\sigma^2\) when n=3 is \(\frac{4}{3} \sigma^4\).

(a) We must demonstrate that \(E(\sigma^2) = \sigma2\) in order to demonstrate that \(\sigma^2\) is an unbiased estimator of \(\sigma2\).

We have:

\(E(\sigma^{2}) = E(n^{-1} \Sigma i=1^n (X_i - \mu)^2)\)

\(= n^{-1} \Sigma i=1^n E((X_i - \mu)^2)\)

\(= n^{-1} \Sigma i=1^n Var(X_i)\)

\(= n^{-1} \Sigma i=1^n \sigma^2\) (since population variance is \(\sigma^2\))

\(= \sigma^2\)

Hence, \(\sigma^2\) is a fair estimator of \(\sigma2\).

(b) We have:

\(MSE(\sigma^2) = E[(\sigma^2 - \sigma2)^2]\)

\(= E[ (n^{-1} \Sigma i=1^n (X_i - \mu)^2 - \sigma2)^2 ]\)

=\(E[ (n^{-1} \Sigma i=1^n (X_i - \mu)^2)^2 - 2n^{-1} \Sigma i = 1^n (X_i - \mu)^2)\sigma2 + \sigma4]\)

\(= E[ (n^{-2} \Sigmai=1^n \Sigmaj=1^n (X_i - \mu)^2(X_j - \mu)^2) - 2(n^{-1} \SIgma i=1^n (X_i - \mu)^2)\sigma2 + \sigma4]\) (using the expansion of square)

Given that the population has a known mean \(\mu\) and variance \(\sigma^2\) and is normally distributed, we may simplify this statement as follows:

\(MSE(\sigma^2) = n^{-2} \Sigma i=1^n \Sigma j=1^n E[(X_i - \mu)^2(X_j - \mu)^2] - 2\sigma2(n^{-1} \Sigmai=1^n E[(X_i - \mu)^2]) + \sigma^4\)

\(= n^{-2} \Sigma i=1^n \Sigma j=1^n Cov(X_i - \mu, X_j - \mu) + \sigma^4\) (using the definition of covariance)

\(= n^{-2} \Sigma i=1^n \Sigma j=1^n E(X_iX_j) - \mu^2 + \sigma^4 (since, Cov(X_i - \mu, X_j - \mu) = E[(X_i - \mu)(X_j - \mu)] = E(X_iX_j) - \mu^2)\)

\(= n^{-2} \Sigma i=1^n \Sigma j=1^n (\sigma^2\delta_{ij} + \mu^2 - \mu^2) + \sigma^4\) (using the fact that the population is normally distributed with known mean and variance)

\(= n^{-1} \Sigma i=1^n \sigma^4 + \sigma^4\)

\(= \frac{(n+1)\sigma^4}{n}\)

Hence, the \(\frac{(3+1)\sigma^4}{3} = \frac{4}{3} \sigma^4\) is the mean squared error of \(\sigma^2\) when n=3.

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Answer: \(x=-7\)

Step-by-step explanation:

\(4x-5 =-33\)

ad 5 to both sides

\(4x=-28\)

divide both sides by 4

\(x=-7\)

plug in x to double check

\(4(-7)-5=-33\\-28-5=-33\\-33=-33\)

hope this helps :3

Answer:

first one: 53°

Second one: reflective property of congruence <-(I'm not sure on this one but it seems like it)

Step-by-step explanation:

First one:

The measure of every triangle is 180°

we have to find that missing angle

so 180-53-74=53°

If its harder to understand you can make angle E x and solve 180=x+53+74

For the second one:

The reflexive property of congruence states that any geometric figure is congruent to itself.

This means that even same line segments and be congruent because of this property.

I hope this helped

Answer:

D. Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.

Step-by-step explanation:

Runner A:

Time it takes for him to finish:

t = 26.2/5.6 = 4.679 hours (to complete race)

.

Runner B:

Time it takes for him to finish:

t = 26.2/6.4 = 4.094 hours

BUT wait, we have to account for the extra .5 hours -- the time it took for him to cross the start line.

t = 4.094 + .5 = 4.594 hours

Distance between Point A (-4, 6) and Point B (0, 15) is approximately 9.85 units, correct to two decimal places.

To find the distance between Point A (-4, 6) and Point B (0, 15), we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula states that the distance between two points (x₁, y₁) and (x₂, y₂) in a two-dimensional plane is given by:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

Let's calculate the distance between Point A and Point B:

x₁ = -4

y₁ = 6

x₂ = 0

y₂ = 15

Distance = √((0 - (-4))² + (15 - 6)²)

       = √(4² + 9²)

       = √(16 + 81)

       = √97

Approximating the value of √97 to two decimal places, we find:

Distance ≈ 9.85

Therefore, the distance between Point A (-4, 6) and Point B (0, 15) is approximately 9.85 units, correct to two decimal places.

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the coordinates of A, B, and C on the line y = x - 6 are A = (6, 0), B = (1, -5), and C = (-7, -13).

How to find what is coordinate?

To find the coordinates of A, B, and C on the line y = x - 6, we need to substitute the given values of x in the equation and solve for y.

When x = 6, y = x - 6 = 6 - 6 = 0, so A = (6, 0).

When x = 1, y = x - 6 = 1 - 6 = -5, so B = (1, -5).

When x = -7, y = x - 6 = -7 - 6 = -13, so C = (-7, -13).

Therefore, the coordinates of A, B, and C on the line y = x - 6 are A = (6, 0), B = (1, -5), and C = (-7, -13).

A coordinate is a set of values that indicate the position of a point or object in space. In mathematics, coordinates are typically represented by ordered pairs or triplets of numbers, which represent the point's location on a plane or in space, respectively.

Coordinates can be used to describe the position of objects in a variety of fields, including mathematics, physics, and geography. For example, latitude and longitude coordinates are used to locate places on Earth's surface, and Cartesian coordinates are used in geometry to describe points on a plane.

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The coordinate matrix of x relative to the orthonormal basis b is then: [x]b = [19, -9, 10]

To get the coordinate matrix of x relative to the orthonormal basis b in Rn, we need to express x as a linear combination of the basis vectors in b. We can do this by using the formula: x = [x · b1]b1 + [x · b2]b2 + [x · b3]b3
where · denotes the dot product and b1, b2, and b3 are the orthonormal basis vectors in b.
First, we need to normalize the basis vectors:
|b1| = √(3^2 + 4^2) = 5
b1 = (3/5, 4/5, 0)
|b2| = √(4^2 + 3^2) = 5
b2 = (-4/5, 3/5, 0)
|b3| = 1
b3 = (0, 0, 1)
Next, we compute the dot products:
x · b1 = (5, 20, 10) · (3/5, 4/5, 0) = 19
x · b2 = (5, 20, 10) · (-4/5, 3/5, 0) = -9
x · b3 = (5, 20, 10) · (0, 0, 1) = 10
Using these values, we can express x as a linear combination of the basis vectors:
x = 19b1 - 9b2 + 10b3
The coordinate matrix of x relative to the orthonormal basis b is then:
[x]b = [19, -9, 10]
Note that this matrix is a column vector since x is a column vector.

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Answer:

105450

Step-by-step explanation:

easy

Answer:

50,000x2.109

Step-by-step explanation:

Answer:

y intercept is (0, -4)

equation is y = x - 4

Step-by-step explanation:

The slope is rise/run which you can find by choosing "any" two points on the line. For instance (0,-4) and (4,0)

The rise is the difference in y direction: 0 - - 4 = 4, the graph "rises" by 4.

The run is the difference in x direction: 4 - 0 = 4, the graph "runs" by 4.

So the slope is 4/4 = 1.

The y intercept is the point on the y axis where the line passes through. This is (0,-4). The intercept value is y= - 4.

The equation is slope times x plus y intercept value.

So putting this all together gives you an equation of

y = 1·x + -4

a.k.a.

y = x-4

Answer:

Step-by-step explanation:

Angles in a trapezoid that are adjacent are always either congruent (meaning they have the same measure) or they are supplementary (meaning you take one small angle measuring less than 90° - known as an acute angle - and one large angle measuring more than 90° - known as an obtuse angle - and when you add the two angles together they will always equal 180° - which means they are supplementary).

The surface area of the composite figure is given by 730 sq.in

Composites are solid figures made up of basic shapes like rectangle , square and even of three dimensional figures like cube , cuboid etc.

It is given in the question to determine the area of the composite figure

Area of Cube is

Area = 6 * side²

Area = 6 * 4² = 96 sq.in

The surface area of the cuboid is equal to

Sum of surface area of all the sides

As the opposite sides are same

7x10x2 + 15x10x2 + 7x15x2

650 sq.in

As the surface area of the base of the cube is counted twice

Therefore it will subtracted from the total

96 + 650 - 4*4

=730 sq.in

Therefore the surface area of the composite figure is given by 730 sq.in

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cos^2(x) - cos^4(x)

sin^2 (x) cos^2 (x) can be written as sin^2 (x) cos^2 (x) = (1-cos^2(x)) cos^2(x)Expanding (1-cos^2(x)) cos^2(x) gives - cos^4(x) + cos^2(x)Therefore, sin^2 (x) cos^2 (x) in expanded form, with no powers, parentheses or products is cos^2(x) - cos^4(x).

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Answer:

10^2.

Step-by-step explanation:

100 is a perfect square of 10.

sqrt (100)

= 10.

Hope this helped!