What is the conversion of 2.25 inches to mm ?

The factored expression of 20 + 16 is 4 (5 + 4).

Factoring is the process of representing a given number or algebraic statement as the sum of its components.

A relevant strategy is used, depending on the situation, to identify the components.

Locating GCD (Greatest Common Divisor)

It is possible to factor an equation where every term has GCD 0 by eliminating GCD as a common component.

Employing Identity

The given expression is:

20 + 16

20 can be written as 4(5).

16 can be written as 4(4).

20 + 16 = 4(5) + 4(4)

Taking the common term out we have:

20 + 16 = 4 (5 + 4)

Hence, the factored expression of 20 + 16 is 4 (5 + 4).

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Systems of equations solver called Wolfram or Alphas can resolve systems of linear equations or nonlinear equations, and it can look for solutions that are only integers.

Systems of direct equations are a common and applicable subset of systems of equations. In the case of two variables, these systems can be allowed of as lines drawn in two- dimensional space. However, the system is said to be harmonious and has a result at this point of crossroad, If all lines meet to a common point. The system is said to be inconsistent else, having no results. Systems of direct equations involving further than two variables work also, having either one result, no results or horizonless results( the ultimate in the case that all element equations are original).

More general systems involving nonlinear functions are possible as well. These retain more complicated result sets involving one, zero, horizonless or any number of results, but work also to direct systems in that their results are the points satisfying all equations involved. Going further, more general systems of constraints are possible, similar as bones that involve inequalities or have conditions that certain variables be integers.

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The solution is, sin∅ = 12/13 & theta is placed on the second quadrant.

that means  the answer is C.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

Let's solve the equation for theta

cos∅=5/13

so, we get,

∅ ≈ 112.6

This means angle theta is placed on the second quadrant.

We use Pythagorean's Theorem to find the other leg to find the sine function.

13² = 5² + x²

so, we get,

x = 12

It's important to know that the sine function is equivalent to the ratio between the opposite leg and the hypothenuse, and it has to be positive because sine functions are positive when the angle is on the second quadrant.

sin∅ = 12/13

Hence, the answer is C.

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Answer:

it would be -10x-15

Step-by-step explanation:

You're basically using distributive property

5(-2x-3)

5•-2x=-10x

5•-3=-15

-10x-15

It would stop there because you can't combine a number w/ a variable with a number without a variable, I hope that makes enough sense

Jay's new balance if he made one transaction of $ 128, given the credit card balance is

To find the new balance, you first need to find the interest on the old balance by the formula :

= 3, 390.88 x 18. 6 % / 12 months per year

= $ 52. 56

Jay's new balance is :

= Old balance + Interest + New transaction

= 3, 390. 88 + 52. 56 + 128

= $ 3, 571. 44

The new credit card balance is $ 3, 571. 44.

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The smallest pair of 4 digit numbers such that the difference between them is 303 and HCF is 101 are found to be 1010 and 1313.

The HCF is the highest common factor or in other words, the largest number by which two numbers can be divided. List the four-digit numbers that could be the HCF for 101 to begin.

101 x 10 = 1010

101 x 11 = 1111

101 x 12 = 1212

101 x 13 = 1313

These numbers now reveal two further numbers whose difference is 303.

1313 - 1010 = 303

The two smallest 4 digit numbers are 1010 and 1313 as a result.

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Complete question - Find the smallest pair of 4-digit numbers such that the difference between them is 303 and their HCF is 101.

Answer:

when the input t is -7, the output k is -89.

Using the equation k = 10t - 19 and substituting t = -7, we have:

k = 10(-7) - 19

k = -70 - 19

k = -89

Therefore, when the input t is -7, the output k is -89.

8 fluid ounces are in one serving is the required fluid ounces in one serving.

Given that,

There are 8 fluid ounces in a cup, how many fluid ounces are in one serving is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

There are 8 fluid ounces in 1 cup and in a serving of one cup there will be 8 fluid ounces.

Thus, 8 fluid ounces are in one serving is the required fluid ounces in one serving.

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Answer:32222

Step-by-step explanation: i dont really think thats the answer, i just did it for the points

The interest rate that would be required is 5.39%. The solution has been obtained by using concept of compound interest.

What is compound interest?

Both the principal and the interest that has accumulated over the preceding period are taken into account when interest is calculated. In contrast to simple interest, which does not take the principal into account when calculating the interest for the following month, compound interest does. Compound interest is usually represented in algebra by the letter C.I.

We are given that Lamonte is going to invest $48,000 and leave it in an account for 17 years. She wants to end up with $120,000.

So, from this we get the equation as

120,000 = 48000e¹⁷ⁿ     ( n is the interest rate)

Solving this, we get

e¹⁷ⁿ = 2.5

n = 5.39%

Hence, the interest rate that would be required is 5.39%.

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The value of the exponential equation is A = ( 8 ) x ^ -105/2

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 8 / ( 7√x¹⁵ )   be equation (1)

On simplifying the equation , we get

The value of √x¹⁵ = x ^ 15/2

Now , the 7th root of √x¹⁵ is = x ^ 105/2

Now , the equation will be

A = ( 8 ) x ^ -105/2

Hence , the exponential equation is A = ( 8 ) x ^ -105/2

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Answer: The population three years ago was 156250.

Step-by-step explanation:

Let 3 years ago, the population of a city = P

Rate of growth (R) = 8% p.a.

Present population (P) = 1,96,830.

Therefore,

[tex]A=P(1+R100)n[/tex]

P = A÷(1 + 8/100)³

196830 ÷ (1+2/25)³

=156250.

3 years ago, the population of the city = 156250.

9 inches is equal to 22.86 centimeter

To convert 1 inches to cm, we can use the following formula:

1 inch = 2.54 cm

The conversion factor is 2.54

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

Therefore,

The length in cm = conversion factor × The length in inches

Substitute the values in the equation

9 inches = 9 × 2.54 cm

Multiply the numbers

= 22.86 cm ( rounded to two decimal places )

Therefore, 9 inch is 22.86 cm

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The inverse function {f⁻¹(x)} for the function f(x) is -

f⁻¹(x) = (3x + 2)/(x - 1)

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the function f(x) as -

f(x) = (x + 2)/(x - 3)

We can write the function f(x) as -

f(x) = (x + 2)/(x - 3)

We can find the inverse function {f⁻¹(x)} as follows -

y = (x + 2)/(x - 3)

x = (y + 2)/(y - 3)

x(y - 3) = y + 2

xy - 3x = y + 2

xy - y = 3x + 2

y(x - 1) = 3x + 2

y = (3x + 2)/(x - 1)

f⁻¹(x) = (3x + 2)/(x - 1)

Therefore, the inverse function {f⁻¹(x)} for the function f(x) is -

f⁻¹(x) = (3x + 2)/(x - 1)

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{Question in english -

perform the inverse of the following function f(x)=x+2/x-3}

Answer:

yeah sure, what you need?

A big number calculator is a software application or program designed to perform arithmetic operations on large numbers that cannot be easily handled by standard computer hardware and software.

Big numbers are typically defined as numbers that are too large to be stored in the registers or memory of a typical computer processor.

In a big number calculator, arithmetic operations such as addition, subtraction, multiplication, and division are performed using algorithms that are specifically designed to handle large numbers. These algorithms may use techniques such as long division, long multiplication, and other mathematical strategies to perform the required computations.

Big number calculators are often used in scientific and engineering applications where very large numbers are encountered. They can also be useful in cryptography, where large prime numbers are used for encryption and decryption operations.

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There is a solution to the system of equations, and Brianna and Ahmed paid the same price for the items.

What is the system of equations?

A system of equations is a set of one or more equations that are to be solved simultaneously. The solution to a system of equations is the set of values for the variables that satisfy all the equations in the system.

In this case, the system of equations represents the amount that Brianna and Ahmed paid for 5 paintbrushes and 3 art canvases, and 10 paintbrushes and 6 art canvases, respectively. The system of equations is:

5x + 3y = 47 (Brianna's purchase)

10x + 6y = 94 (Ahmed's purchase)

To determine whether Brianna and Ahmed paid the same price for the items, we can compare the value of x and y that satisfy both equations. To do this, we can solve the system of equations using any method we prefer, such as elimination or substitution. Here, we'll use the method of substitution:

From the first equation, we can solve for y in terms of x:

5x + 3y = 47

3y = 47 - 5x

y = (47 - 5x)/3

Substituting this expression for y into the second equation, we get:

10x + 6y = 94

10x + 6((47 - 5x)/3) = 94

Simplifying, we get:

10x + 94 - 10x = 94

94 = 94

This equation is always true, regardless of the value of x.

Therefore, there is a solution to the system of equations, and Brianna and Ahmed paid the same price for the items.

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The time right now and the time zone you are in determine how many hours are left before tomorrow. Assuming you mean the following calendar day, tomorrow's hours would be:

The amount of hours until tomorrow if it is currently before midnight is 24 minus the current hour. For instance, if it is 9:00 PM right now, there are 24 – 21 = 3 hours left until tomorrow.

In this case, the number of hours until tomorrow would be equal to the time difference between now and midnight + 24. If it is 1:00 AM, for instance, there are (24 - 1) + 1 = 24 hours until tomorrow.

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Infinite Algebra 1 is a software program developed by the company Kuta Software that provides an online resource for teaching and learning algebra 1.

It offers a comprehensive collection of algebra 1 problems and exercises that cover a wide range of topics such as linear equations, systems of equations, inequalities, polynomials, factoring, and graphing.

The program includes features such as an interactive equation editor, step-by-step solutions, and the ability to generate customized worksheets and assessments.

It is designed to provide students with a self-paced and adaptive learning experience that allows them to practice and reinforce their understanding of algebraic concepts. Infinite Algebra 1 is widely used in schools and educational institutions as a tool for teaching and practicing algebra 1.

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Using integration by substitution, the value of ∫31xf(x^2-1)dx is 6.

To solve this problem, we can use integral by substitution.

Let's set u = x^2 - 1, then du/dx = 2x, or dx = du / (2x).

Using this substitution, we can rewrite the integral as:

∫(3^2-1)^(8^2-1) f(u) * (du / 2)

Next, we can use the fact that f is continuous and the integral of f from 8 to 0 is 6. We can split the integral into two parts:

∫(3^2-1)^(8^2-1) f(u) * (du / 2) = ∫0^(8^2-1) f(u) * (du / 2) - ∫0^(3^2-1) f(u) * (du / 2)

The first integral on the right-hand side is the integral we're given:

∫0^(8^2-1) f(u) * (du / 2) = 6

The second integral can be rewritten using our substitution:

∫0^(3^2-1) f(u) * (du / 2) = ∫(3^2-1)^(0) f(u) * (du / 2)

Notice that we've switched the limits of integration, which means we need to negate the integral:

∫(3^2-1)^(0) f(u) * (du / 2) = -∫0^(3^2-1) f(u) * (du / 2)

Substituting back into our original integral and using these results, we get:

∫(3^2-1)^(8^2-1) f(u) * (du / 2) = 6 - (-∫0^(3^2-1) f(u) * (du / 2)) = 6 + ∫0^(3^2-1) f(u) * (du / 2)

Finally, we can substitute back in for x and simplify to get our answer:

∫31xf(x^2-1)dx = (1/2) * ∫(3^2-1)^(8^2-1) f(u) * du = (1/2) * (6 + ∫0^(3^2-1) f(u) * du) = (1/2) * (6 + ∫0^8 f(u) * du) = (1/2) * (6 + 6) = 6

∫31xf(x^2-1)dx  = 6.

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13×4=52

Ok Multiplacation is a simple Math formula everyone can do so you have to do this:

13+13+13+13=52

Now do this:

13×4=52

Answer is 52

Answer: 3.2t − 2.4

Step-by-step explanation:

Add −3.6 and 1.2

Then, add −1.9t and 5.1t

3.2t − 2.4

The height of the object is at least 1300 feet after 9 seconds. The solution has been obtained by solving the algebraic equation.

What is algebraic equation?

A mathematical expression is said to be "algebraic" if it includes variables, constants, and algebraic operations (addition, subtraction, etc.). The expression has to satisfy the algebraic equation and have the equals sign in it.

We are given an equation as h = - 16t² + 32t + 2308

Since, we need to find the times at which the height of the object at least 1300 feet so, we will substitute h = 1300 in the equation.

From this, we get

⇒1300 = - 16t² + 32t + 2308

⇒0 = - 16t² + 32t + 1008

⇒0 = -t² + 2t + 63                       (On dividing both sides by 16)

⇒t² - 2t - 63 = 0

⇒t² - 9t + 7t - 63 = 0

⇒t(t - 9) + 7(t - 9) = 0

⇒(t - 9) (t + 7) = 0

⇒t = 9 , -7

Hence, the height of the object is at least 1300 feet after 9 seconds.

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Based on the drawing of AABC, the ratios wrt to the sides are given below:

There are several ways to find the ratios of sides in geometry, depending on the specific situation. Here are a few common methods:

Similar triangles: If you have two triangles that are similar, that is, they have the same shape but possibly different sizes, then the corresponding sides are in proportion. That is, if the sides of one triangle are a, b, and c, and the sides of the other triangle are x, y, and z, and the triangles are similar, then:

a/x = b/y = c/z

You can use this property to find the ratio of any two sides of a triangle if you know the ratio of the corresponding sides of a similar triangle.

Proportions: In some cases, you can use proportions to find the ratio of sides. For example, if you have a rectangle with sides of length a and b, and you know that the ratio of a to b is 2:3, then you can set up the proportion:

a/b = 2/3

and solve for either a or b.

Trigonometry: If you know the angles of a right triangle, you can use trigonometric ratios to find the ratio of sides. For example, in a right triangle with angle A, the ratio of the side opposite A (which we'll call a) to the hypotenuse (which we'll call c) is given by the sine of A:

sin(A) = a/c

You can rearrange this formula to solve for a or c, depending on what you know.

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The height of a randomly selected giraffe, the number of points scored during a basketball game, the gender of college students, the amount of rain in City Upper B during April, and the number of fish caught during a fishing tournament are all examples of discrete or continuous random variables, while the number of bald eagles in a country is not a random variable.

a. Continuous random variable

b. Discrete random variable

c. Discrete random variable

d. Continuous random variable

e. Discrete random variable

f. Not a random variable

a. The height of a randomly selected giraffe is a continuous random variable because it can take on any value within a certain range.

b. The number of points scored during a basketball game is a discrete random variable because it is a countable number.

c. The gender of college students is a discrete random variable because it is a categorical variable with two possible values.

d. The amount of rain in City Upper B during April is a continuous random variable because it can take on any value within a certain range.

e. The number of amount fish caught during a fishing tournament is a discrete random variable because it is a countable number.

f. The number of bald eagles in a country is not a random variable because it is a fixed number and not a random sample.

The height of a randomly selected giraffe, the number of points scored during a basketball game, the gender of college students, the amount of rain in City Upper B during April, and the number of fish caught during a fishing tournament are all examples of discrete or continuous random variables, while the number of bald eagles in a country is not a random variable.

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Answer:

24

Step-by-step explanation:

Rect = 3*4 = 12

Rect 2 = 1*6 = 6

Triangle = (6-3)*1/2*4 = 6

6 + 6 + 12 = 24

Answer: 3.1 kg

Step-by-step explanation:

Total amount sold of apples and pears = 6.6 kg

Of that 6.6 kg, 3.5 kg is the weight of the apples.

Subtract the weight of the apples from the total weight of the apples and pears.

6.6 kg (total weight) - 3.5 kg (weight of apples) = 3.1 kg (weight of pears)

This means that the given side lengths do not satisfy the converse of the triangle inequality theorem, and thus a triangle cannot be formed with side lengths 8, 9, and 17.

Given that they have three quadrants or more, triangles are considered polygons. It has a straightforward geometric shape. The letters ABC form a right-angled triangle when put together. Euclidean geometry creates a new rectangle of square when the borders are incompatible. Given that they have three sides and three corners, triangles are categorised as polygons.

Here,

No, it is not possible to form a triangle with side lengths 8, 9, and 17.

To see why, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Symbolically, for sides a, b, and c, this can be written as:

a + b > c

a + c > b

b + c > a

Let's check if these inequalities are satisfied for the sides of 8, 9, and 17:

8 + 9 > 17 (true)

8 + 17 > 9 (true)

9 + 17 > 8 (true)

All three inequalities are true, which means that the given side lengths satisfy the triangle inequality and a triangle can be formed.

In this case, we see that 8 + 9 = 17, which is exactly the length of the third side.

This means that the given side lengths do not satisfy the converse of the triangle inequality theorem, and thus a triangle cannot be formed with side lengths 8, 9, and 17.

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The perimeter of the figure is 28 units

The perimeter of a figure is the total length of its boundary or outer edge. It is the sum of the lengths of all the sides of the figure. The perimeter is usually measured in units such as centimeters, meters, inches, or feet, depending on the measurement system being used.

The perimeter of this figure is the sum total length of the boundaries.

This can be calculated as;

P = 2 + 4 + 5 + 3 + 7 + 7

P = 28 units

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