what is 5 foot 8 inches in cm?

The domain of the given function in the graph will be x ≤ -1.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given, a function as we can see in the graph,

Since The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values.

The y-axis on a graph represents the possible output values or range.

thus, in the given graph the domain of the function will be All real values smaller than -1.

therefore, the domain of the given function in the graph will be x ≤-1.

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Answer:

height = 21.8 ft from ground

Step-by-step explanation:

see photo for explanation.

The factor of 18 is 1,2,3,6,9,18,-1,-2,-3,-6,-9,-18 if we want we can take negative factor also .

Due to its even composite nature, the number 18 has extra variables besides 1 and 18. As a result, the components of 18 are 1, 2, 3, 6, 9, and 18, and their opposites are -1, -2-3,-6,-9,-18  

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

Factors can be found using either division or multiplication. Rules of divisibility can also be applied.

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Answer:

Factoring a polynomial means breaking it down into simpler parts that can be multiplied together to get the original polynomial. To factor a polynomial completely, we want to find all of its factors, including any that are in the form of a constant, a variable, or a combination of both.

Let's take a look at how to factor two of the given polynomials.

x^5 - x^3

We can factor out the greatest common factor (GCF) of x^3 to get:

x^5 - x^3 = x^3(x^2 - 1)

Now, we have a difference of squares, which we can factor using the formula:

a^2 - b^2 = (a + b)(a - b)

In this case, a = x and b = 1, so we get:

x^5 - x^3 = x^3(x + 1)(x - 1)

Therefore, the polynomial x^5 - x^3 can be completely factored as x^3(x + 1)(x - 1).

3x^2 - 75

We can factor out the GCF of 3 to get:

3x^2 - 75 = 3(x^2 - 25)

Now, we have a difference of squares, which we can factor as:

a^2 - b^2 = (a + b)(a - b)

In this case, a = x and b = 5, so we get:

3x^2 - 75 = 3(x + 5)(x - 5)

Therefore, the polynomial 3x^2 - 75 can be completely factored as 3(x + 5)(x - 5).

In general, to factor a polynomial completely, we should first look for any common factors that can be factored out using the GCF. Then, we can look for special patterns, such as differences of squares, sums or differences of cubes, or quadratic trinomials that can be factored using the quadratic formula or by factoring the sum or difference of two perfect squares. Finally, we can use trial and error or other methods to find any remaining factors that are not immediately obvious.

If you could label my answer brainliest, that would be awesome!

- Dante

Answer:

11:30

Step-by-step explanation:

The ratio is 22:60

We simplify by 2 and get

11:30

We can't simplify any more, so the answer is 11:30.

Answer:

There are 1440 minutes in 24 hours.

Step-by-step explanation:

24 x 60 = 1440

Hope this helped. Have a good day!

the parabola has an equation of y = (-1/8)x² + (1/2)x - 1/2, its vertex is at (2, 0), and it opens to the left with a focus at (0, -2) and a directrix at x=2.

Since the directrix of the parabola is a vertical line x=2, the axis of the parabola is horizontal, and its vertex is the point of intersection between the axis and the directrix, which is (2, 0). The focus is located at (0, -2), which is two units below the vertex, so the distance between the focus and the vertex is |p| = 2, where p is the distance between the vertex and the directrix. Since the directrix is to the right of the vertex, the parabola opens to the left. Therefore, its equation can be written in the form:

(x - h)² = -4p(y - k)

where (h, k) is the vertex. Plugging in the values we have, we get:

(x - 2)² = -8(y - 0)

Simplifying, we get:

x² - 4x + 4 = -8y or

y = (-1/8)x² + (1/2)x - 1/2

Therefore, the parabola has an equation of y = (-1/8)x² + (1/2)x - 1/2, its vertex is at (2, 0), and it opens to the left with a focus at (0, -2) and a directrix at x=2.

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Answer:

Step-by-step explanation:

Yes, mathematical phrases can be considered as polynomials. Because the mathematical sentences conform to the definition of polynomial.  

A polynomial is a mathematical expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

Mathematical phrases, such as:

"3x^2 + 2x - 5" or "2y^3 - 4y + 1"

Are examples of polynomials because they only involve the operations of addition, subtraction, multiplication, and non-negative integer exponents. Therefore, mathematical phrases can be considered as polynomials.

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(a) Here's a tree diagram for the sample space of all dinner combinations:

               Fish

          /      |      \

        /        |        \

    Salmon    Trout    Halibut

    / | \      / | \      / | \

 Fries Carrots Coleslaw  Fries Carrots Coleslaw

(b) To determine the total number of dinner combinations, we can multiply the number of fish options by the number of side dish options:

3 fish options * 3 side dish options = 9 dinner combinations

Therefore, Javier has 9 choices for dinner combinations.

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For dinner, Javier will choose one of three fish options and one of three side dishes. His choices for fish are salmon, trout, and halibut. His choices for side dishes are fries, cooked carrots, or coleslaw.

(a)Draw a tree diagram for the sample space of all dinner combinations.

(b)How many choices for dinner combinations does Javier have?

Answer:

The solution to the system of inequalities is:

x ≥ -3.8 and

x ≤ 3

This can also be expressed as

-3.8 ≤ x ≤ 3

solving the first inequality:

-2x - 3x ≤ 19

Combining like terms, we get:

-5x ≤ 19

Dividing both sides by -5 :

x ≥ -3.8

So we have found that x is greater than or equal to -3.8.

From the second inequality:

-8x ≥ -24

Dividing both sides by -8:

x ≤ 3

So we have found that x is less than or equal to 3.

Therefore, the solution to the system of inequalities is:

-3.8 ≤ x ≤ 3

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Answer:

Equation: 1,152.00 = 21.80x + 16.60y

21.80x + 16.60y = 1,152.00

x = 52 days

y = 69 days

This money will buy 121 days of food for Jasmine and Siri.

Therefore , the solution of the given problem of expression comes out to be the simplified expression is 8n³ + 6n - 20.

There is a requirement for mathematical operations as addition, multiplication, and division. When combined, they produce the following: A mathematical operator, some data, and an expression. A statement of fact contains values, parameters, and mathematical operations including additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various sentences and words.

Here,

Given :

2n² + 4n + 4

    x 4n - 5

    -----------

    8n³ - 10n² + 16n² - 20n + 16n - 20

    -----------

    8n³ + 6n - 20

Thus, the simplified expression is 8n³ + 6n - 20.

Therefore , the solution of the given problem of expression comes out to be the simplified expression is 8n³ + 6n - 20.

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Answer: y = 1.50x + 14

The surface area of a cylinder can be calculated using the following formula: Surface Area = 2πr2 + 2πrh, where r is the radius and h is the height of the cylinder.

In this case, Jenny is looking to store her soup in a cylindrical container and completely cover it in aluminium foil. This means the surface area of the container will be equal to the surface area of the cylinder plus the surface area of the foil. So, if the radius of the cylinder is r and the height is h, the surface area of the container is:

Surface Area = 2πr² + 2πrh  
Surface Area of Foil = 2πr² + 2πrh + 2r²π

Substituting in the given value for pi, we get Surface Area = 6.28r² + 6.28rh + 2r²π.

Therefore, the surface area of the container is equal to 6.28r² + 6.28rh + 2r²π, where r is the radius and h is the height of the cylinder.

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In mathematics, the term "orthogonal" refers to a relationship between two objects where they are perpendicular or at right angles to each other.

More generally, it refers to a relationship where two objects are independent or uncorrelated with each other. For example, in Euclidean geometry, two lines are orthogonal if they meet at a right angle. In linear algebra, two vectors are said to be orthogonal if their dot product (also known as inner product) is zero. Similarly, in statistics, two variables are said to be orthogonal if they have a correlation coefficient of zero, indicating that they are uncorrelated.

The term "orthogonal" is also used in various other fields, such as signal processing, computer science, and quantum mechanics, with similar meanings of independence, uncorrelatedness, or perpendicularity.

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At the end of 18 years, there will be a total of $5,890.37 in the account.  

Compound interest is a powerful financial tool that can help you grow your money over time.

In the case of the $1,800 deposited into an account earning 6% interest compounded weekly, the total amount in the account at the end of 18 years can be calculated as follows:

Let P be the principal balance, r be the interest rate, n be the number of times the interest is compounded per year, and x be the number of years. Using the compound interest formula, we can calculate the amount in the account at the end of 18 years:

A = P(1 + (r/n))ⁿˣ

A = 1800 * (1 + (0.06/52))⁵²ˣ¹⁸

A = 5,890.37

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Answer:

Therefore, the unknown number is 5.

Step-by-step explanation:

We can translate "Eight times the difference of a number and six is negative eight" into an algebraic equation as given below,

8(x - 6)

= -8                (where x is the unknown number we are trying to find)

The expression "the difference of a number and six" means x - 6. So, "eight times the difference of a number and six" means 8(x - 6).

The equation states that the product of 8 and the difference of the number x and 6 is equal to -8.

To solve for x, we can simplify the equation,

8(x - 6) = -8

8x - 48 = -8

8x = 40

x = 5

Therefore, the unknown number is 5.

The option that is not available to Jacob is: He can purchase the computer now using his debit card, even though he does not have enough money in his bank account to cover the cost.

Using a debit card requires that there are sufficient funds in the linked bank account to cover the transaction. If there is not enough money available, the transaction will be declined. Therefore, Jacob cannot purchase the computer using his debit card unless he has enough funds in his account. The other options, including saving up to purchase the computer with cash, using a credit card, or putting more money in his bank account to use his debit card at a later date, are all valid options for Jacob.

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Answer:

This is an obtuse triangle.

Step-by-step explanation:

Sure that are 2 acute angle but it is not acute, if it was acute, then it would have 3 acute angles. It might look like a right triangle, but the angle on the bottom left is actually past 90º. So it is an obtuse triangle. Hope this helped! Have a good day!

Answer:1st and 3rd

Step-by-step explanation:

Answer: (-4, -2) and (-13, 0)

Used a calculator

The quadratic function will be x²+ 2x,Carolina will need to have at least 272 square feet available in her yard.

A quadratic function is a polynomial function of degree two, which means it is a function that can be expressed as an equation with the second-degree degree of the highest exponent of the unknown variable. It is typically expressed as ax² + bx + c, where a, b and c are constants, and x is an unknown variable. Quadratic functions can be used to model many real-world situations, such as the height of a projectile in motion or the area of a circle.

a. The area of the pool and the deck can be represented by a quadratic function, A = f(x) = x² + 2x, where x is the width of the pool in feet.

b. For the 16-ft wide pool, the area of the pool and the deck will be A = f(16) = 16² + 2(16) = 272 ft². Therefore, Carolina will need to have at least 272 square feet available in her yard.

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value of given expression = 48

The order of operations is a rule that specifies the correct steps for evaluating mathematical expressions. We can remember the order with PEMDAS -

Parentheses, exponents, multiplication and division (left to right), addition and subtraction (left to right).  

Given expression,

9 - 4 ÷ (2 + 2) + 2³ . 5

By PEMDAS rule

First solving parentheses

= 9 - 4 ÷ 4 + 2³ . 5

then solving exponent

= 9 - 4 ÷ 4 + 8 . 5

Now solving multiplication

= 9 - 4 ÷ 4 + 40

Now solving division

= 9 - 1 + 40

Now solving addition

= 49 - 1

Now solving subtraction

= 48

Hence, 48 is the value of the expression.

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If the recipe calls for 1 5/6 cups of flour, and Finn triples the recipe, he will need 3 times the amount of flour.

To find the total amount of flour Finn will need, we can first convert the mixed number 1 5/6 to an improper fraction:

Next, we can multiply this fraction by 3 to find the total amount of flour needed:

We can simplify this fraction by dividing both the numerator and the denominator by 3:

Therefore, Finn will need 11/2 cups of flour in total.

~ Zeph

The value of phone B is [tex]\omega = 840[/tex].

Any equation with a maximum degree of 1 is said to be linear. In a linear equation, no variable has an exponent bigger than 1, thus. There is always a straight line on the graph of a linear equation.

Given that each term in a linear equation has an exponent of 1, graphing an algebraic equation always yields a straight line.  For this reason, it is referred to as a "linear equation." There are both one-variable and two-variable linear equations.

[tex]v= 1000[/tex]

[tex](\frac{4}{5})^d[/tex] is the value of phone A and

[tex]\omega = 840[/tex] is the value of phone B.

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Complete Question;

For each cell phone, write an equation that relates the value of the phone in dollars to the years since release, t. Use v for the value of Phone A and w for the value of Phone B.

Answer:

x=-10, PR=10.

Step-by-step explanation:

(x+15)/(x+20)=1/2 => 2(x+15)=x+20 => x=-10. PR=20-10=10.

The instantaneous rate of change calculator is the tool that displays the rate of change

The change in the rate at a certain point is referred to as the instantaneous rate of change in mathematics. It is equivalent to the rate of change in a function's derivative value at a particular location. The obtained graph is identical to the slope of the tangent line if a graph for the instantaneous rate of change at a particular point is drawn.

A free online tool known as the Instantaneous Rate of change calculator shows the rate of change, the first-order differential equation for the specified function. This tool speeds up the calculation and shows the rate of change at a particular position in a split second. With time, the tool is now widely accepted and is often used is variety of calculations.

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The conversion of 29 Celsius to Fahrenheit is 84.2.

Celsius and Fahrenheit are two common units of temperature measurement.

Celsius, also known as centigrade, is a temperature scale used in the metric system. It is defined by setting the freezing point of water at 0 degrees Celsius and the boiling point of water at 100 degrees Celsius at standard atmospheric pressure.

To convert 29 Celsius to Fahrenheit, you can use the following formula,

°F = (°C × 9/5) + 32

Plugging in the value of 29 Celsius, we get,

°F = (29 × 9/5) + 32

°F = (261/5) + 32

°F = 52.2 + 32

°F = 84.2

Therefore, 29 Celsius is equivalent to 84.2 Fahrenheit.

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Correct Question :

What is the conversion of 29 Celsius to Fahrenheit ?

The correct answer is (D) If A is the given matrix, then the augmented matrix represents the equation Ax =0. The reduced echelon form of this matrix indicates that Ax =0 has only the trivial solution. Therefore, the columns of A form a linearly independent set.

A collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics. In computer graphics, where they have been used to describe picture rotations and other transformations, matrices have vital applications as well.

Mathematically, assume that B = {v₁, v₂, v₃, ........} is the set of vectors. Then B will be linearly independent if the vector equation

y₁v₁ + y₂v₂ + y₃v₃ + ........ = 0 possesses the trivial solution such that

y₁ = y₂ = y₃ = ........ = 0.

Let A be a matrix, then columns of A will be linearly independent if the equation Ax = 0 possesses the trivial solution. In other words, The row space of matrix A is the span of its rows. The column space denoted by

C(A) is the span of A’s columns. The dimension of the row and column spaces is always the same, which is known as the rank of A.

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Answer:

  65 cm

Step-by-step explanation:

You want the perimeter of the shape that results from removing a 60° sector from a circle.

The curved edge of the shape is 5/6 of the circumference of the circle.

  5/6C = 5/6(2πr) = 5/6·2·π·(9 cm) = 15π cm ≈ 47 cm

Each straight edge of the shape has a length equal to the radius. Then the straight edges have a total length of ...

  2r = 2(9 cm) = 18 cm

The perimeter of the shape is the sum of the length of its curved edge and the lengths of the straight edges:

  P = 47 cm + 18 cm = 65 cm

The perimeter is about 65 cm.

__

Additional comment

A total circle is 360°, so 1/6 of the circle is 60°. The size of a sector of a circle can be described by the angle measure of its central angle. Here, that means the removed portion is a 60° sector.