What is the conversion of 68 kg to pounds?

True. Comparing two marginal distributions can show if the corresponding two variables are related. This can be done by calculating the correlation coefficient of the two variables.

The correlation coefficient is a numerical measure of the degree of the linear relationship between two variables and can be calculated by dividing the covariance of the two variables by the product of their standard deviations. The correlation coefficient ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation and 1 indicates a perfect positive correlation.

If the correlation coefficient is close to zero, then the two variables are not significantly related. If the correlation coefficient is close to -1 or 1, then it can be inferred that the two variables are related.

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Using the volume formula the number of cubic inches of hot chocolate needed to completely fill the thermos is 192π.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

The formula to find the volume of a cylinder is -

Volume = πr²h

where π is pi (approximately 3.14159), r is the radius of the base of the cylinder, and h is the height of the cylinder.

In this case, the radius of the cylinder is given as 4 inches and the height is given as 12 inches.

So we can use the formula above to find the volume of the thermos -

Volume of thermos = π x (4 inches)² x 12 inches

= π x 16 square inches x 12 inches

= 192π cubic inches

Therefore, volume for thermos is 192π.

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The options that are not polynomials are:

A, B, C, and E.

A general polynomial on a variable x can be written as:

P(x) = aₙ*xⁿ + ... + a₁*x + a₀

The coefficients a are all real numbers, and all the exponents on the variable x must be integer numbers.

So:

We can't have square roots of the variable.

We can't have negative exponents on the variable.

With that in mind, the options that aren't polynomials are:

A: because there is an exponent of 2/3

B: There is an exponent of -3

C: there is an exponent of -2

E: There is an exponent of -2

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herefore, the area of the triangle is approximately 2.58 square yards.

Area = (1/2) * a * c * sin(B)

where B is the angle opposite to the side of length b, and a and c are the lengths of the other two sides.

In this case, we have:

B = 47 degrees (given)

a = 2 yards (given)

c = 4 yards (given)

To use the formula, we first need to find the length of the third side, b, using the Law of Cosines:

[tex]b^{2}[/tex] = [tex]a^{2}[/tex]+ ^[tex]c^{2}[/tex] - 2accos(B)

b^2 = 2^2 + 4^2 - 224cos(47)

b^2 ≈ 13.37

b ≈ 3.657

Now we can substitute the values into the formula for the area:

Area = (1/2) * a * c * sin(B)

Area = (1/2) * 2 * 4 * sin(47)

Area ≈ 2.58 square yards

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1.5 liter is 0.396258 gallons.

A gallon is a unit of volume in imperial units and US standard units. Three different versions are currently in use:

imperial gallon (imp gallon), defined as

.5

609 liters, is or was used in Great Britain, Ireland, Canada, Australia, New Zealand and some Caribbean countries;

US gallons (US gallon), defined as 3.785

1178

L,[1] (231 cubic meters), used in the United States and some Latin American and Caribbean countries; and

US dry gallons ("usdrygal"), defined as 1⁄8 US Bushel (exactly

.

0

88377086 L).

There are two pints in a liter and four liters in a gallon. Different sized pints correspond to different sized imperial and US gallons.

The IEEE standard symbol for both US (liquid) and imperial gallons is gal [2], different from gal (symbol: Gal), the CGS unit of acceleration.

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Answer: $76.5 (rounded)

Step-by-step explanation:

$382.22*0.20=$76.466

If the base, b, is 6 inches, and the area, A, is 18 square inches, then the height, h, of the triangle is 6 inches.

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.


The area of a right triangle can be found by using the formula A=1/2bh, where b is the base of the triangle and h is the height. In this example, the base, b, is 6 inches. To find the height, h, we can solve the equation for h: h = 2A/b, where A is the area of the triangle.

Therefore, if we know the area of the triangle, A, we can find the height, h, of the triangle by plugging in the values and solving for h. For example, if the area of the triangle is 18 square inches, then h = 2(18)/6 = 6 inches.

The area of a right triangle can be found by using the formula A=1/2bh and plugging in the known values of b and h. In this example, if the base, b, is 6 inches, and the area, A, is 18 square inches, then the height, h, of the triangle is 6 inches.

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One of the molar concentration units is the millimolar. The symbol or abbreviation mM stands for millimolar. 1 millimolar equals 1 mol/meter³ in terms of measurement units. In terms of molar, 1 millimolar is equivalent to 0 point 001 molar.

The term "molar concentration" (also known as "molarity," "amount concentration," or "substance concentration") refers to the amount of a substance per unit volume of solution and is used to describe the concentration of a chemical species, specifically a solute, in a solution.

The number of moles per liter, denoted by the unit symbol mol/L or mol/dm3 in SI units, is the most widely used unit for molarity in chemistry. One mol/L of a solution is referred to as one molar, or 1 M.

Because most solutions' volumes only slightly vary with temperature due to thermal expansion, the use of molar concentration in thermodynamics is frequently inconvenient. Typically, temperature correction factors are introduced to solve this issue, or a concentration measure that is not temperature dependent, like molality, is used.

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The shoreline is reduced by 0.5 feet every 10 years. Then the correct option is A.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A group of scientists studied the amount of erosion at a beach. The scientist determined that the equation is given below.

y = -0.5 x + 26

Hence, The shoreline is reduced by 0.5 feet every 10 years. Then the correct option is A.

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scientists determined that the equation y=0.5x+26 models the amount of shoreline at the beach, y, in feet, x decades after 1950. Which statement is true based on the model

The shoreline is reduced by 0.5 feet   every 10 years.

The shoreline is increased by 0.5 feet  every 10 years.

The shoreline is reduced by 26 feet  every 10 years.

The shoreline is increased by 26 feet  every 10 years.

The weight of 1 gallon water is 10 pounds and the weight of 1 litre of water is 1 kilogram.

Also, one kilogram is approximately equal to 2.2046226218 lbs.

One US gallon is equal to 3.785411784 liter.

A gallon is a unit of volume in imperial units and US standard units. Three different versions are currently in use:

imperial gallon (imp gallon), defined as

.5

609 liters, is or was used in Great Britain, Ireland, Canada, Australia, New Zealand and some Caribbean countries;

US gallons (US gallon), defined as 3.785

1178

L,[1] (231 cubic meters), used in the United States and some Latin American and Caribbean countries; and

US dry gallons ("usdrygal"), defined as 1⁄8 US Bushel (exactly

.

0

88377086 L).

There are two pints in a liter and four liters in a gallon. Different sized pints correspond to different sized imperial and US gallons.

The IEEE standard symbol for both US (liquid) and imperial gallons is gal [2], different from gal (symbol: Gal), the CGS unit of acceleration.

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The width he need to make the pasture with the given rectangle is 4x³y⁶.

Area of a rectangle is the product of its length and width.

If a rectangle has length L units and width of W units, then

Area = L × W squared units.

We are given that;

Area= 20x6y5

Length= 5x³y4

We can start by using the formula for the area of a rectangle:

Area = length x width

We know that the area of the rectangular pasture is 20x6y5, and we know the length is 5x³y4. So we can plug in these values and solve for the width:

20x6y5 = (5x³y4) x width

To solve for width, we can divide both sides by 5x³y4:

width = 20x6y5 / (5x³y4)

Simplifying the expression on the right-hand side, we can divide each term in the numerator by 5x³y4:

width = (4x³y¹) x (4y5)

Simplifying further, we can add the exponents of the common factor y:

width = 4x³y⁶

Therefore, the farmer would need to make the width of the rectangular pasture will be 4x³y⁶.

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Answer:

3.14159265358979

Step-by-step explanation:

The size of the state of Colima is 519,100 square metres.

Confusion results from the fact that 1 metre squared and 1 metre by 1 metre squared are the same. Yet, square metres and metres squared are fundamentally different in all other situations, therefore it is important to use care when referring to either one.

First, it is necessary to convert square kilometres into square metres.

100 hectómeters cuadrados make up one kilómetro cuadrado.

Hence, the state of Colima is as follows in square metres:

519,100 hectómetros cuadrados (5,191 kilómetros cuadrados x 100 hectómetros cuadrados/kilómetro cuadrado)

Hence, the size of the state of Colima is 519,100 square metres.

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Answer: The missing side is 8

Step-by-step explanation: I hope this helps!

Answer: 44

Step-by-step explanation: No explain because just yeah:)

The context that represents linear growth is:

A sunflower was growing at a rate of 2.5 inches per week.

A constant rate of change in a quantity over time is referred to as linear growth. The sunflower in this instance is expanding linearly at a pace of 2.5 inches each week, which is constant.

The other contexts listed do not represent linear growth:

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Three expressions containing exponents so that each expression equals 81 are,

1) 9²

2) 3⁴

3) 8² + 17

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We have to write three expressions containing exponents so that each expression equals 81.

Hence, We get;

Three expressions containing exponents so that each expression equals 81 are,

1) 81 = 9 × 9 = 9²

2) 81 = 3 × 3 × 3 × 3 = 3⁴

3) 81 = 8 × 8 + 17 = 8² + 17

Thus, Three expressions containing exponents so that each expression equals 81 are,

1) 9²

2) 3⁴

3) 8² + 17

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MN = 17.09 cm

NMV = 16.31°

A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid is short for "like a cube." A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces.

MV = 1/2 VS = 6cm (midpoint)

NV= 1/2YV = 5cm (midpoint)

MV = [tex]\sqrt{MV^2 + UV^2} = \sqrt{6^2 + 16^2} = 17.09cm[/tex]

MN = [tex]\sqrt{MU^2 + NU^2} = \sqrt{6^2 + 16^2 + 5^2} = 17.80cm[/tex]

tanNMV= 5/17.09

= 16.31°

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Step-by-step explanation:

3 is never equal to -27, no matter what we put into the blanks.

I think what you mean is

3 × blank × blank = -27

or simply

blank × blank × blank = -27 (without the 3)

there are 2 different solutions possible :

all 3 blanks are -3.

any 2 blanks are 3, and the third one is -3.

as

-3×-3×-3 = -27

and

3×3×-3 = 3×-3×3 = -3×3×3 = -27

The value of angle BAC is 60°

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex. A pyramid is formed by connecting the bases to an apex. Each edge of the base is connected to the apex, and forms the triangular face, called the lateral face.

Since the base of the pyramid is equal, the lateral lines joining the apex have equal length which will form equal triangle at both sides.

This means that if triangle BCD is equilateral, then, triangle ABC is also equilateral.

Therefore angle BAC = 180/3 = 60°

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0.02 Bitcoin is in dollar is 497.928000 US Dollar (USD)

1 Bitcoin = 24872.70 US Dollar (USD)

so 0.02 bitcoin in dollar is

0.02 * 42872.70 =  497.928000 US Dollar (USD)

Bitcoin has a high inverse correlation with the US Dollar Index (DXY). This makes conceptual sense as it has a fixed supply and is most commonly traded against the US dollar more than any other currency. Now, looking at the weekly data from early 2018, the correlation is around -70% (R2 is 0.5877).

Volker successfully curbed the extreme inflation of the late 1970s and early 1980s with aggressive monetary policy, pushing the dollar to a very high level. Like today, the U.S. hasn't experienced similarly high levels of inflation and may have already peaked. As a result, the US dollar is unlikely to hit her early 1980s highs.

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The outcome of removing (2x-3)2 from 5x2 is therefore x2 + 12x - 9.

Therefore, it can be expressed as Minuend Subtrahend = Differential. As a result, the number being removed is known as Barely heard, and the number being deducted is known as Minuend. As a result, the amount that is being removed from is known as the minuend, and the number being deducted from is known as the subtrahend.

To answer this question, we need to expand (2x-3)² and then subtract it from 5x².

(2x-3)² means (2x-3) multiplied by itself:

(2x-3)² = (2x-3) × (2x-3)

The first term in the first parentheses can be multiplied by both terms in the second parentheses using the distributive property, and the second term in the first parentheses can be multiplied by both terms in the second parentheses using the distributive property:

(2x-3) × (2x-3) = 2x × (2x-3) - 3 × (2x-3)

Simplifying each of the two terms:

= 4x² - 6x - 6x + 9

= 4x² - 12x + 9

Now we can subtract this expression from 5x²:

5x² - (4x² - 12x + 9)

Distributing the negative sign:

5x² - 4x² + 12x - 9

Combining like terms:

x² + 12x - 9

Therefore, the result of subtracting (2x-3)² from 5x² is x² + 12x - 9.

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The weight of gallon of water is 8.345 pounds according to density of water.

The gallon is a unit of volume and we need to find the weight of one gallon of water. So, the weight and volume are related to each other by the formula -

Density = mass/volume

Now, we know the volume and need the density of water in pounds per gallon.

The density of water is 8.345 pounds per gallon.

So, keeping the values in formula

Mass = density × volume

Mass = 8.345 × 1

Performing multiplication on Right Hand Side of the equation

Mass = 8.345 pounds

The weight of water is 8.345 pounds.

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An equivalent to the expression 3x(2x+5) using distributive property is 6x²+15.

The distributive law of multiplication over addition and subtraction is another name for the distributive property. By its very name, the procedure implies that something will be divided or distributed. Both addition and subtraction are subject to the distributive law.

The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.

Example: 3x(2x+5)

By using distributive property, we get

3x×2x+3x×5

= 6x²+15

Therefore, an equivalent to the expression 3x(2x+5) is 6x²+15.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The solution to the system is the area where shadings from both inequalities overlap one another

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

Consider

x-2y ≤ -2

Find y

=> x +2  ≤  2y

=> x/2 + 1 ≤ y

=> (x+2)/2  ≤ y

Or

y ≥(x+2)/2  --------(1)

Consider 3x + y > -1

Find y

=> y > -3x -1---------(2)

By considering the equations with equal sign in place of inequality signs, find y values corresponding to the random x values

plot the points in (x,y) form, we get the 2 lines

For <, shade the region below the line

For >, shade the region above the line

If the inequality is "<" or ">" then connect the two points with a dotted line.  The dotted line is analogous to the open circle on the number line.  Otherwise, connect the two points with a solid line.

The solution to the system is the area where shadings from both inequalities overlap one another

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Arc length formula is L = ∫a^b √[1 + (dy/dx)^2] dx . The arc length of a curve is the length of the curve between two points, and it can be calculated using the arc length formula in calculus.

The arc length formula can be used to find the length of a curve in terms of the function that describes the curve.

The arc length formula is given by:

L = ∫a^b √[1 + (dy/dx)^2] dx

where L is the arc length of the curve, a and b are the endpoints of the curve, dy/dx is the derivative of the function that describes the curve with respect to x, and ∫ represents the integral of the function over the interval from a to b.

To use the formula, we first find the derivative of the function that describes the curve, dy/dx. Then we plug this expression into the arc length formula and integrate the expression over the interval from a to b to find the arc length of the curve.

The arc length formula is useful in many applications, such as physics, engineering, and geometry, and it allows us to find the length of a curve even when it is not a straight line.

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The expression 1 + 3² can be evaluated as follows:

First, we calculate 3², which is equal to 9.

Then, we add 1 to 9, which gives us 10.

Therefore, 1 + 3² = 10.

Answer:

Step-by-step explanation:

1 +[tex]3^{2}[/tex]

= 1 + (3*3)

= 1 + 9

= 10

The equation of the axis of symmetry is x = 5/2

From the question, we have the following parameters that can be used in our computation:

y = x^2 - 5x + 1

The above equation si a quadratic equation

Differentiate the equation

SO, we have

y' = 2x - 5

Set the differentuated equation to 0

This gives

2x = 5

Evaluate

x =5/2

Hence, the equation is x =5/2

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