a heart-shaped curve traced around a point on the circumference of a circle rolling completely around an equal fixed circle is called___

The conversion of 720 minutes to hours is equal to 12 hours.

The units involved in this conversion are minutes and hours.The SI symbols for minute or minutes are min for time measurement, and the prime symbol after a number, e.g. 5′, for angle measurement. An hour (symbol: h; also abbreviated hr.) is a unit of time conventionally reckoned as 1⁄24 of a day and scientifically reckoned as 3,599–3,601 seconds, depending on conditions.The conversion factor from minutes to hours is 0.0166667, which means that 1 minutes is equal to 0.0166667 hours:1 min = 0.0166667 hr, There are 60 minutes in one hour. To convert 720 minutes to hours, you can divide 720 by 60:

720 minutes ÷ 60 minutes/hour = 12 hours

So, 720 minutes is equal to 12 hours.

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This type of scientific experiment is commonly used in microbiology and is called a bacterial culture or bacterial colony.

The scientist likely used a sterile nutrient-rich medium in a petri dish to create an environment in which the bacteria could grow and reproduce. By observing the growth and behavior of the bacteria in the colony, the scientist can study various aspects of bacterial biology, such as metabolism, genetics, and response to environmental conditions. Bacterial cultures can also be used in medical and industrial settings to produce antibiotics, vaccines, and other products.

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The solution of the matrix in vector form is [-13 3 -3 4]

The given matrix equation is Ax = b, where A is a matrix with 1 row and 4 columns, and b is a matrix with 1 row and 3 columns

In this case, the augmented matrix is a 5x4 matrix, with the first 4 columns being A and the last column being b. The augmented matrix for this system is then:

=> [tex]\left[\begin{array}{ccc}1&2& 3\\3& 5 &2 \\-4 &2 &5 \\-13 &11 &8\end{array}\right][/tex]

To solve the system, we can use Gaussian elimination, which is a method of solving a system of linear equations by transforming the augmented matrix into a row-echelon form.

After applying Gaussian elimination to the augmented matrix, we get the following row-echelon form:

=> [tex]\left[\begin{array}{ccc}1& 0& 0 \\-1& 0 &-3 \\-3& 0& 4 \end{array}\right][/tex]

We can then find the solution of the system by back-substitution:

=> x₁ = -13, x₂ = 3, x₃ = -3, and x₄ = 4.

Therefore, the solution of the linear system is x = [-13 3 -3 4]

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When rotated about its center, a regular hexagon has 6 rotational symmetries. In addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry.

Geometry is a branch of mathematics that deals with the study of spatial relationships and properties of shapes, sizes, positions, and dimensions of objects. It is concerned with points, lines, angles, curves, surfaces, and solids in both two and three-dimensional space. Geometry has practical applications in fields such as engineering, architecture, computer graphics, and physics. It is also a fundamental part of mathematical education, helping students develop skills such as logical reasoning, problem-solving, and spatial visualization. Finally, geometry has a rich history, dating back to ancient civilizations such as the Greeks, Egyptians, and Babylonians.

When rotated about its center, a regular hexagon has 6 rotational symmetries. In addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry, where each line passes through a vertex and the midpoint of the opposite side.

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y = 3x - 4 is the equation of the line in slope intercept form. Option C is correct

The formula for calculating the equation of a line in point slope form is expressed as:

y - y0 = m(x - x0)

where:

m is the slope

(x0, y0) is the point on the line

Using the coordinate points (2, 2) and (0, -4). The slope is calculated as:

Slope = -4-2/0-(2)
Slope = -6/-2
Slope = 3

The required equation will therefore be expressed as:

y + 4 = 3(x - 0)

y + 4 = 3x

y = 3x - 4

Hence the slope-intercept form of the equation is y = 3x - 4

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Answer:

[tex]x=-5,5[/tex]

Step-by-step explanation:

[tex]y=x^2-25\\0=x^2-25\\0=(x+5)(x-5)\\x=-5,5[/tex]

An mg is equivalent to 0.001 g since the prefix "milli-" in milligrams stands for 10-3. A microgram is equivalent to 0.000001 g in mcg, where the prefix "micro-" stands for 10-6.

The terms milligrams (mg) and micrograms (mcg) are interchangeable. You must divide the value in mcg by 1000 to convert it to mg.

The conversion formula is as follows:

1 mcg Equals 0.001 mg

So, you may divide by 1000 or increase the number in mcg by 0.001 to convert it to mg. For instance:

500 mcg equals 0.5 mg (500 x 0.001 mg).

1000 mcg equals 1000 times 0.001 mg equals 1 mg

500 mcg equals 2.5 mg (or 2500 x 0.001 mg).

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Answer:

12x + 50 =210

Step-by-step explanation:

Given the data on the world problem, we know that one of our terms will be 12x because it says "each month" in the problem. If his mom is going to give him 50 dollars, and the Jordans cost 210, then we can write  a simple equation.

x = number of months it will take him

[tex]12x+50=210[/tex]

Answer: 5.8=x

Step-by-step explanation:

$210=Price

$12=Each Month

$50=From Mom

120-50=70

70/12=5.8 Months

The reminder of F(x)  when it is  divided by x-3 by using the factorizing method is equal to 8.

The Remainder Theorem is a method to Euclidean polynomial division. According to this theorem, dividing a polynomial P(x) by a factor (x - a), which is not an element of the polynomial, yields a smaller polynomial and a remainder.

"f(x) is divided by (x - 3)" is the mathematical expression for the statement.

[tex]\frac{x^4 -5x^2-6x-10}{x-3}[/tex]

factorize the numerator in the above expression.

[tex]\frac{x^4-3x^3+3x^3-9x^2+4x^2-12x+6x-18+18-10}{x-3}[/tex]

Further simplify the above expression.

[tex](x^3+3x^2+4x+6) + \frac{8}{x-3}[/tex]

Thus, when f(x) is divided by (x - 3), the remaining is 8.

The Remainder Theorem starts with a polynomial, say p(x), where "p(x)" is a polynomial p with x as a variable. Then, according to the theorem, divide that polynomial p(x) by some linear factor x - a, where an is just some number. A lengthy polynomial division is performed here, yielding some polynomial q(x) (the variable "q" stands for "the quotient polynomial") and a polynomial remainder is r. (x). It may be stated as follows:

q(x) + r = p(x)/x-a (x)

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Exponential functions are mathematical functions that involve an exponent or power. There are two types of exponential functions: growth and decay.

1. Exponential Growth Functions: These functions have the form y = a*b^x, where a > 0 and b > 1. They model exponential growth, where the value of y increases rapidly as x increases. For example, the function y = 2^x is an exponential growth function, as the value of y doubles for each increase in x.

2. Exponential Decay Functions: These functions have the form y = a*b^x, where a > 0 and 0 < b < 1. They model exponential decay, where the value of y decreases rapidly as x increases. For example, the function y = (1/2)^x is an exponential decay function, as the value of y is halved for each increase in x.

Both types of exponential functions are important in many fields, including finance, biology, and physics. They are used to model phenomena such as compound interest, population growth, and radioactive decay.

The decimal equivalent of 5/3 is 1.666666667.

When we write a decimal, we use a decimal point to separate the whole number part from the fractional part.

The digits to the right of the decimal point represent fractions of a whole. The decimal 0.25 represents 25/100 or 1/4, while the decimal 0.5 represents 50/100 or 1/2.

In general, we can convert any fraction to a decimal by dividing the numerator by the denominator.

To convert 5/3 to a decimal, we need to divide 5 by 3. When we perform this division, we get 1.666666667. This is a repeating decimal, meaning that the number 6 repeats indefinitely after the decimal point.

In general, whenever you divide one integer by another, you will either get a finite decimal (like 0.5 or 0.75) or a repeating decimal (like 0.3333 or 0.142857). In some cases, the decimal may terminate, meaning that it stops after a certain number of decimal places. For example, 1/4 is equal to 0.25, which is a terminating decimal.

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The converted values of 139 pounds to kilograms in standard form is equal to 63.0493 kilograms.

Scale factor used to convert pounds to kilograms is equal to :

One pounds is equal to 0.453592 kilograms.

Now convert pounds to kilogram by substituting the value in standard form we get,

⇒ 139 pounds = ( 139 ) multiply to ( 0.453592 ) kilograms

⇒ 139 pounds =  139 × 0.453592  kilograms

⇒ 139 pounds =  63.049288 kilograms

⇒ 139 pounds =  63.0493 kilograms

Therefore, the using standard scale factor to convert 139 pounds to kilograms is equal to 63.0493 kilograms.

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Answer:

1, 4, and 7

Step-by-step explanation:

The rest are equal to angle 2

Answer:

or

0.333333

Step-by-step explanation:

8^x = 2

whats the value of x?

8^x = 2

log(8^x) = log(2)

x * (log(8)) = log(2)

x = (log(2))/(log(8))

x = 0.333333 or 1/3

----------------------

check

[tex]8^{1/3}[/tex] = 2

2 = 2

the answer is good

The cube root of 64 is 4.

Cube root of number is value which when multiplied by itself three times to produces original number.

Cube root denoted by ∛ sign.

Given number is 64.

We have to find the cube root of 64.

To find the cubic root of number,

Following steps should be followed:-

1. We can use the prime factorization method.

First we evaluating the prime factors of given number

[tex]2\times2\times2\times2\times2\times2=64[/tex]

2. We can pair similar digits in group of three,

4 x 4 x 4 = 64.

We can write it as,

[tex]\sqrt[3]{4} = 64[/tex]

The cube root of 64 is 4

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Real question is

Find the cube root of 64?

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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Answer:

60

Step-by-step explanation:

The length of segment WX is given as follows:

8.5 units.

Suppose that we have two points with coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

The shortest distance between them is given by the equation presented as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The length of a segment is given by the distance between it's two endpoints.

Hence the length of segment WX is obtained as follows:

WX = sqrt((-1 - 5)² + (-9 - (-3))²)

WX = 8.5 units.

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Answer:

x = 61

Step-by-step explanation:

[tex]x + 119 = 180[/tex]

[tex]x = 180 - 119[/tex]

[tex]x = 61[/tex]

Answer:

x = 61

Step-by-step explanation:

The units of v''(r) will be cubic centimeters per square centimeter, or [tex](cm^3/cm^2)[/tex].

The second derivative of a function represents the rate of change of the first derivative, or the rate of change of the rate of change of the original function.

In this case, the function v(r) models the volume of a basketball, which is measured in cubic centimeters [tex](cm^3)[/tex]. The independent variable r is measured in centimeters (cm).

The first derivative of v(r) with respect to r is, which represents the rate of change of the volume with respect to the radius, and has units of [tex]cm^2[/tex] (cubic centimeters per centimeter).

The s[tex](cm^3/cm^2).[/tex]second derivative of v(r) with respect to r is v''(r), which represents the rate of change of the first derivative, or the rate of change of the rate of change of the volume with respect to the radius. The units of v''(r) will be [tex]cm^-1[/tex], or the inverse of the units of the first derivative, which is  [tex](cm^3/cm^2)[/tex].

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The line parallel to the line b is the line a

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

The figure

Also, we have

Angle 1 = 90 degrees

The measure of angle 1 and angle 5 are congruent

This is so because they are corresponsing angles

So, we have

Angle 5 = 90 degrees

The above implies that line a and line b are parallel lines

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The degree measure of angle A is 90 degrees if the measure of angle A is three times as big as the measure of angle C and the measure of angle B is 30 degrees bigger than the measure of angle C.

Let x be the measure of angle C in degrees.

According to the problem statement, angle A is three times as big as angle C, measuring 3x degrees.

Angle B is 30 degrees bigger than angle C, so its measure is x + 30 degrees.

The sum of the measures of the angles in a triangle is always 180 degrees so that we can write:

A + B + C = 180

Substituting the expressions we found for the angles in terms of x, we get:

3x + (x + 30) + x = 180

Simplifying and solving for x, we get:

5x + 30 = 180

5x = 150

x = 30

Therefore, angle C has a measure of 30 degrees, angle B has an estimate of 30 + 30 = 60 degrees, and angle A has a measure of 3(30) = 90 degrees.

So the degree measure of angle A is 90 degrees.

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Now that we know the value of x, we can find the values of DP, PH, and HD:

DP = 17x = 17(0.295) = 5.015

PH = 6x + 5 = 6(0.295) + 5 = 6.77

HD = 20x - 3 = 20(0.295) - 3 = 2.9

Therefore, DP ≈ 5.015, PH ≈ 6.77, and HD ≈ 2.9.

The perimeter of a form is its edge's radius. Learn how to multiply the lengths of a shape's sides to determine its perimeter.

To solve this problem, we need to use the fact that the perimeter of ADPH is 23.5. We know that AD = DP + HD, and we also know the values of DP, PH, and HD in terms of x. So, we can set up an equation using these values and solve for x.

AD = DP + HD

AD = 17x + (20x - 3)

AD = 37x - 3

Perimeter of ADPH = AD + DP + PH + HD

23.5 = (37x - 3) + 17x + (6x + 5) + (20x - 3)

Simplifying the above equation, we get:

23.5 = 80x - 1

Solving for x, we get:

x = 0.295

Now that we know the value of x, we can find the values of DP, PH, and HD:

DP = 17x = 17(0.295) = 5.015

PH = 6x + 5 = 6(0.295) + 5 = 6.77

HD = 20x - 3 = 20(0.295) - 3 = 2.9

Therefore, DP ≈ 5.015, PH ≈ 6.77, and HD ≈ 2.9.

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Answer:

the coordinates of the point that partitions the directed line segment from (-6,-2) to (9,-7) into a ratio of 3 to 2 are (0, -4).

Step-by-step explanation:

To find the coordinates of the point that partitions the directed line segment from (-6,-2) to (9,-7) into a ratio of 3 to 2, we can use the following formula:

P = ( (2bx + 3ax)/(2+3) , (2by + 3ay)/(2+3) )

where P is the point we are looking for, (ax, ay) and (bx, by) are the coordinates of the two endpoints of the line segment, and the numbers 2 and 3 represent the ratio in which the line segment is to be divided.

Substituting the given values, we get:

P = ( (29 + 3(-6))/(2+3) , (2*(-7) + 3*(-2))/(2+3) )

= ( (18 - 18)/5 , (-14 - 6)/5 )

= ( 0, -4 )

Therefore, the coordinates of the point that partitions the directed line segment from (-6,-2) to (9,-7) into a ratio of 3 to 2 are (0, -4).

The average read speed is defined as the rate at which a person can read and comprehend written text

The average read speed refers to the rate at which a person can read and comprehend written text. This is typically measured in words per minute (wpm). According to studies, the average reading speed for adults is around 200 to 300 wpm, although this can vary depending on factors such as reading proficiency, familiarity with the material, and reading conditions.

Factors that can affect reading speed include:

Word length and complexity: Longer and more complex words can slow down reading speed.

Font size and style: Smaller fonts and difficult-to-read styles can also slow down reading.

Reading experience: Frequent readers tend to have higher reading speeds than occasional readers.

Comprehension level: Reading speed can decrease if the reader is trying to understand difficult or technical material.

It's important to note that while reading speed is a useful metric, it's not always the most important factor in reading. Comprehension and retention of the material are also crucial, so it's important to find a balance between reading speed and comprehension.

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The solution sets for the inequality 10+y<10-3y and -6≥10-8x are y>-2.5 and x≤0.75, respectively.

Inequality is a mathematical concept used to compare two expressions and determine whether one is larger or smaller than the other. It is represented by symbols such as <, >, ≤, and ≥.

To find the solution set of 10+y<10-3y, we must first isolate the variable y on one side of the equation.

To do this, we need to subtract 10 from both sides of the equation, leaving us with y<-10-3y.

We can then divide both sides by -4 to get

=> y>-2.5.

Thus, the solution set of 10+y<10-3y is y>-2.5.

To find the solution set of -6≥10-8x, we must first isolate the variable x on one side of the equation.

To do this, we need to subtract 10 from both sides of the equation, leaving us with

=> -6≥-8x.

We can then divide both sides by -8 to get

=> x≤0.75.

Thus, the solution set of -6≥10-8x is x≤0.75.

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Answer:

Option C. 1 13/18

Step-by-step explanation:

8/9 + 2/3 + 1/6

Taking LCM as 18

8/9 × 2/2 + 2/3 × 6/6 + 1/6 × 3/3

16/18 + 12/18 + 3/18 = 31/18 = 1 13/18

The given statement that you can compare two marginal distributions to see if the corresponding two variables are related is false.

In probability theory and statistics, the probability distribution of the variables included in a subset is the marginal distribution of a subset of a collection of random variables. Without taking into account the values of the other variables, it provides the probabilities of different values for each variable in the subset.

Hence, to determine whether the relevant two variables are connected, you cannot compare two marginal distributions.

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