Resuelve el siguiente SUDOKU

An object is moving along the x x -axis. At t t = 0 it is at x x = 0. Its x x -component of velocity vx v x as a function of time is given by vx(t)=αt−βt3 v x ( t ) = α t − β t 3 , where α= α = 7.2 m/s2 m / s 2 and β= β = 4.8 m/s4 m / s 4  the nonzero time at which x = 0 is 1.22 seconds.

To find the time at which the object is again at x=0, we need to solve the equation vx(t) = 0, which gives us:

αt - βt^3 = 0

t(α - βt^2) = 0

The solutions to this equation are t = 0 (which corresponds to the initial position) and t = ±√(α/β). Since we're looking for a nonzero time, we can discard the t = 0 solution and take t = √(α/β):

t = √(α/β) = √(7.2 m/s^2 / 4.8 m/s^4) = √(1.5 s^2) = 1.22 s

Therefore, the object is again at x=0 after a time of 1.22 seconds.

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If the cost of 3/4 tons of wood chips is $21 then the cost per ton of wood chips is $28.

To find the cost per ton of wood chips, we need to first determine the total cost of 1 ton of wood chips. We know that the cost of 3/4 tons of wood chips is $21, so we can set up a proportion:

3/4 tons / 21 = 1 ton / x

where x is the unknown cost per ton.

To solve for x, we can cross-multiply and simplify:

3/4 tons × x = 21 × 1 ton

3/4 x = 21

x = 21 / (3/4)

x = 28

Therefore, the cost per ton of wood chips is $28.

Finding the cost per ton is a common problem encountered in many industries, particularly those that deal with bulk materials such as wood chips, sand, gravel, or other aggregates. To calculate the cost per ton, it is important to know the total cost of the material and the total weight (or volume) of the material. It's important to note that this method works for any bulk material, as long as the weight (or volume) and cost are known. This information can be used to make informed decisions about purchasing and budgeting for materials, as well as comparing costs across different suppliers.

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The two equivalent expressions for the new acreage sold by the landowner are:

Both of these expressions will give the same result, which is the new acreage after the sale.

Another way to find the new acreage is to subtract the sold acreage from the total acreage. This is the same as the first expression, but it may be easier for some people to understand. For example, if the total acreage was 100 acres and the sold acreage was 20 acres, the new acreage would be 100 - 20 = 80 acres.

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Anil borrowed the sum of money $12,300 on rate of 10% per annum, for a period of 5 years.

We can use the simple interest formula to solve this problem:

Simple Interest = (Principal x Rate x Time) / 100

Where,

Principal = 12,300

Rate = 10% per annum

Simple Interest = 18,450 - 12,300 = 6,150

Substituting the given values in the formula, we get:

6,150 = (12,300 x 10 x Time) / 100

Simplifying the equation, we get:

Time = (6,150 x 100) / (12,300 x 10)

Time = 5 years

Therefore, Anil borrowed the money for a period of 5 years. Simple interest is a type of interest calculation where the interest is calculated only on the principal amount borrowed or invested. It is calculated as a percentage of the principal amount, multiplied by the time period of the loan or investment. Simple interest does not take into account any interest earned on interest, unlike compound interest. It is a straightforward method used to determine the total amount to be repaid on a loan or the interest earned on an investment. Simple interest is commonly used in personal loans, small business loans, and short-term investments.

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As the point (2,5)is represented on the graph, the  point  (0,0) also belongs to  the given  graph.

Firstly, we know that the point (0,0) is the origin, which is the point where the x- and y-axes intersect. This means that the graph must have both x- and y-axes, and it is likely to be a Cartesian coordinate system.

Secondly, we know that the point (2,5) is located on the graph. Since (0,0) and (2,5) do not lie on a vertical or horizontal line, we cannot determine the shape of the graph with certainty. However, we can say that the graph is not a simple straight line or a perfectly circular shape, since those shapes would only intersect the axes at one or two points respectively.

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The possible outcomes for flipping a two-sided tile once are:

Toss 1 Toss 2 Toss 3

Black Black Black

Black Black White

Black White White

Black White Black

White White White

White White Black

White Black Black

White Black White

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Now, If we flip the tile three times, the sample space will consist of all possible outcomes of the three flips.

Hence, Each flip is independent, so the total number of possible outcomes is the product of the number of outcomes for each flip, which is 2.

Therefore, the sample space for flipping the tile three times is:

BBB,

BBW,

BWB,

BWW,

WBB,

WBW,

WWB,

WWW

Where,

B = the black side facing up, and

W = the white side facing up.

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The conventional conversion rates state that 1.72 is equivalent to 5.504 feet.

We use the unit of the meter to measure the distance between any two objects, but we may also use the unit of the foot for short distances because these two units are interchangeable.

One meter is equivalent to 3.2 feet using common conversion factors used in the US.

The measurement of 1.72 metres into feet may be determined using the same conversion factor.

We shall thus write 1 m = 3.2 ft.

1.72m is 1.78 x 3.2 feet, or 5.504 feet.

The result is that 1.78 meters is equivalent to 5.696 feet.

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Answer:3

Step-by-step explanation:

Answer:

$73.5

Step-by-step explanation:

$196/8 = $24.5 ---> $196 shared equally with 8 people

24.5*3 = $73.5 ---> The cost for the family of three

The sum of four and six tenths plus six and eight tenths is eleven and four tenths, which can be written as 11.4.

In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Algebraic expressions are used to represent and solve problems in various areas, including science, engineering, economics, and mathematics.

An algebraic expression can contain one or more variables, which represent unknown or changing quantities, and one or more constants, which represent fixed values. The variables are usually represented by letters, such as x, y, or z. The operations of addition, subtraction, multiplication, and division are represented by the symbols +, -, ×, and ÷, respectively. Parentheses are also used to group terms and indicate the order of operations.

For example, the algebraic expression 3x + 2y - 5 represents a combination of two variables, x and y, and three constants, 3, 2, and 5. The terms 3x and 2y are the variables multiplied by their coefficients, while -5 is a constant term.

Algebraic expressions can be simplified by combining like terms, which are terms that have the same variable raised to the same power. For example, in the expression 3x + 2y - 5 + 4x - 3y, the like terms are 3x and 4x, and 2y and -3y. Combining these terms yields the simplified expression 7x - y - 5.

Algebraic expressions are used in various mathematical operations, such as solving equations, graphing functions, and evaluating formulas. They are also used in real-world applications, such as calculating interest rates, solving optimization problems, and modeling physical phenomena.

Four and six tenths can be written as 4.6, and six and eight tenths can be written as 6.8. To find their sum, we add the two numbers:

4.6 + 6.8 = 11.4

So the sum of four and six tenths plus six and eight tenths is eleven and four tenths, which can be written as 11.4.

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In this situation, interval measurement is being employed as the measurement level.

As the height of each student can be measured on a continuous scale with equal intervals between the values. It's important to note that the teacher may have rounded the measurements to the nearest unit, which would make it a discrete measurement.

Interval measurement is a level of measurement in which the values are measured on a continuous scale and have equal intervals between them, but there is no true zero point. This means that the difference between any two values on the scale is meaningful and consistent, but it is not possible to say that one value is "zero" or has no quantity of the measured attribute.

For example, measuring temperature in degrees Celsius or Fahrenheit is an example of interval measurement. In this case, the difference between 10 and 20 degrees is the same as the difference between 20 and 30 degrees, but there is no true zero temperature - a temperature of 0 degrees does not mean the absence of heat.

Another example of interval measurement is measuring time in minutes or hours. The difference between 10 minutes and 20 minutes is the same as the difference between 20 minutes and 30 minutes, but there is no "zero" point in time - even if nothing is happening, time continues to pass.

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20 lbs is approximately equal to 9.0718 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

20 lbs = 20 × 0.453592

Multiply the numbers

= 9.0718 kg  ( rounded to four decimal places )

Therefore, 20 lbs is 9.0718 kg

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Answer:

it is 30, 90, and 60 as it is a right triangle

Answer:

An isosceles triangle has sides of length xcm and 9cm.It perimeter is less than 24cm and x is a whole number.

find the lowest value of x

highest value of x

Answer:

I'll let you figure it out.

Step-by-step explanation:

A. First you separately take each of the two fractions and you multiply both sides to get the same denominator (bottom half of the fraction) for the two fractions, and then you combine the numerators (top half of the fraction) together while keeping the same denominator (simplify if needed). That's the fraction of students who don't walk home (answer for B). Then change the numerator to the (denominator - the numerator), and keep the same denominator, then simplify if needed (answer for C). This whole paragraph is the answer for A (but write it as your own words if you can).

Answer:

-60

Step-by-step explanation:

Answer:

An additive inverse is just the opposite of a given number. A number a is the number that when added to a yields zero.

Your answer is -60

Step-by-step explanation:

The conversion of 71 inches is equal to 5.9166666667 feet.

The US customary measuring unit is the foot,

It is denoted by the letter "ft."

To convert 5 meters (m) to feet,

The imperial and American customary systems of measuring both use the symbol "in" to represent 1 inch as a unit of length.

It was decided that one inch was exactly equal to 25.4 millimetres.

12 inches make up a foot, and 36 inches make up a yard.

We know that,

1 in = 0.0833333333 ft

1 ft = 12 in

1 in = 2.54 cm and 1 cm equals 0.3937007874 in

To convert inches to feet,

We need to divide the number of inches by 12,

Since there are 12 inches in a foot.

Therefore,

71 inches divided by 12 gives us:

71 inches ÷ 12 = 5.9166666667 feet

(rounded to ten decimal places)

So 71 inches is equal to approximately 5.9166666667 feet.

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In Total, sofia spent 1/8 hours in driving.

What is fraction ?
A fraction is a mathematical expression that represents a part of a whole. It is a way of expressing a quantity as a ratio of two numbers, with one number (the numerator) written above a line and the other number (the denominator) written below the line.

Explanation:
To find the total amount of time Sofia spent driving, we can use the formula for adding two fractions with different denominators:

a/b + c/d = (ad + bc) / bd

Using this formula, we can add the fractions 1/3 and 1/5:

1/3 + 1/5 = (1 × 5 + 1 × 3) / (3 × 5) = 8/15

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This is a linear equation with a slope of 2 and a y-intercept of -2. There is exactly one solution for y for every value of x.

In mathematics, an equation is a statement that two expressions are equal. It usually contains one or more variables, which are unknown quantities that can take on different values. Equations are used to represent relationships between quantities, and they can be used to solve problems by finding the values of the variables that make the equation true.

An equation typically consists of two sides, separated by an equal sign. Each side can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. For example, the equation:

2x + 3 = 7

contains the variable x, as well as constants 2, 3, and 7, and mathematical operations of addition and multiplication.

Equations can be solved by applying algebraic techniques to isolate the variable on one side of the equation. For example, to solve the above equation for x, we can first subtract 3 from both sides to get:

2x = 4

Then, we can divide both sides by 2 to get:

x = 2

This is the solution to the equation, which means that x must be equal to 2 in order to make the equation true.

Equations are used in many areas of mathematics, including algebra, calculus, geometry, and trigonometry. They are also used in physics, engineering, and other sciences to model physical phenomena and solve problems related to them.

To solve for y, we need to isolate y on one side of the equation.

y + 2 = 2x

Subtract 2 from both sides:

y + 2 - 2 = 2x - 2

Simplify:

y = 2x - 2

Therefore, the solution for y is y = 2x - 2.

This is a linear equation with a slope of 2 and a y-intercept of -2. There is exactly one solution for y for every value of x.

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Jose invests money in an account paying a simple interest of 9% per year, he should multiply his current balance by 9% to find his total balance.

Simple Interest is a simple way for computing interest on a loan or principle amount. The notion of simple interest is used in many sectors, including banking, finance, and vehicles. The monthly interest is deducted first, followed by the principal amount, when you make a loan payment.

We have rate of interest as 9%

So, SI = PNR/100

SI = P x 1 x 9/100

SI = P x 9%.

Therefore, current balance should be multiplied by 9% .

Simple Interest (S.I.) is a way of determining the amount of interest for a given principle amount. You put that money to use for the reason you borrowed it in the first place. The money is then returned after you receive your following month's pocket money from your parents. This is how borrowing and lending operate in the real world.

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The order of a matrix is a way to describe its size or dimensions in terms of the number of rows and columns it has.

It is typically represented by the notation m x n, where m is the number of rows and n is the number of columns. For example, a matrix with 3 rows and 4 columns would have an order of 3 x 4.

The order of a matrix is important because it determines how the matrix can be operated on or manipulated, such as in matrix addition, multiplication, or transposition.

It is a fundamental concept in linear algebra and is used extensively in many fields, including mathematics, physics, engineering, and computer science.

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Answer:

−16n² −4n −4

Step-by-step explanation:

=(4)(−4n²+−n+−1)

=(4)(−4n²)+(4)(−n)+(4)(−1)

=−16n² −4n −4

Attribute that describes right pyramid is triangular faces.

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and a flat triangular face that join at a common point called the apex. A pyramid is formed by connecting the base and apex. Each edge of the base connects to the top and forms triangular faces called sides.

Given, properties of right pyramid

1. 2 apexes - A right pyramid has only one apex

2. Triangular faces - A right pyramid has flat triangular faces.

3. Circular base - A right pyramid has polygonal base, not circular base

4. curved surface - A right pyramid has flat surface, not curved surface.

Hence, Property of triangular faces is present in a right pyramid.

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Answer:

1...

Step-by-step explanation:

hope this helps

Answer:

En total hay 22 + 31 + 32 = 85 bolas. De estas, 31 hijo b

Por lo tanto, la probabilidad de que la primera bola en un carril sea una bola de doce libras es:

P(bola de doce libras) = número de bolas de doce libras / número total de bolas

P(bola de doce libras) = 31 / 85

P(bola de doce libras) ≈ 0.365

Por lo tanto, las probabilidades a favor de que la primera bola en un carril sea una bola de doce libras son de aproximadamente 0.365, o alrededor del 36.5%.

Step-by-step explanation:

espero te sirva

Similar triangles have different dimensions, but their measurements have the same ratio.

In the image, we can see two triangles. A large triangle and a small triangle. These are similar. How can we tell? They share the same angles.

Now, we can set up a proportion comparing their side lengths:

[tex]\dfrac{82}{28}=\dfrac{(2x+8)+(5x-4)}{2x+8}[/tex]

Theoretically, if we divide corresponding side lengths of two similar shapes, we should get the same value. This is what makes the proportion true.

Now, simplify:

[tex]\dfrac{82}{28}=\dfrac{(2x+8)+(5x-4)}{2x+8}[/tex]

[tex]\dfrac{41}{14}=\dfrac{(2x+8)+(5x-4)}{2x+8}[/tex]

[tex]41(2x+8)=14[(2x+8)+(5x-4)][/tex]

[tex]82x+328=14[2x+8+5x-4]\\82x+328=14(7x+4)\\82x+328=98x+56[/tex]

[tex]328=16x+56\\272=16x\\x=17[/tex]

x = 17

The composite function has its value to be 25

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

f(x) = x^2 - 4

g(x) = 2x - 1

Given the composite function [f x g] (3)., we have

[f x g] (3) = f(3) * g(3)

Substitute the known values in the above equation, so, we have the following representation

[f x g] (3) = (3^2 - 4) * (2 * 3 - 1)

Evaluate

[f x g] (3) = 25

Hence, the solution is 25

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After 54 days, 213.3 grams of protactinium will remain from the initial 488 grams.

In radioactive decay, the amount of material that remains after a given amount of time can be calculated using the equation A=A0e^-kt, where A is the amount remaining after time t, A0 is the original amount, k is the decay constant, and t is the elapsed time. In this problem, we are given that A0 = 488 grams, t = 54 days, and k = 0.0259. We can calculate the amount remaining after 54 days by plugging these values into the equation.

A = 488e-0.0259(54)

A = 488e-1.3926

A = 213.3 grams

In conclusion, after 54 days, 213.3 grams of protactinium will remain if 488 grams is initially present.

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Answer:

is 152.4 cm.

Answer:

188 cm rounded to the nearest whole number.

Step-by-step explanation:

1 rotation = 2[tex]\pi[/tex]r

2[tex]\pi[/tex](15)  If the dimeter is 30, the radius is 15

2 rotations would be

2[2[tex]\pi[/tex](15)]

188.495559218

Answer:

188.5 cm

Step-by-step explanation:

Circumference of a circle = C = 2πr = πD

D = 30 cm

C = π(30 cm) = 94.25 cm

2 revs = 2C = 2(94.25) = 188.5 cm