Can I just have a very quick answer to this question?

The wheelchair access ramp must be 216.09 inches long.

To find the length of the wheelchair access ramp, we can use trigonometry.

The tangent function relates the angle of elevation to the ratio of the opposite side (height) to the adjacent side (length of the ramp).

Let's denote the length of the ramp as "x".

The height of the ramp is given as 18 inches.

Using the tangent function:

tan(angle of elevation) = height/length of the ramp

tan(4.8 degrees) = 18/x

To solve for x, we can rearrange the equation:

x = 18 / tan(4.8 degrees)

Using a calculator to evaluate the tangent of 4.8 degrees:

x = 18 / 0.08331

x= 216.09

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Answer:

rational

Step-by-step explanation:

Since fractions are written as a ratio of two integers, hence 7/8 is a fraction

Integers can both be negative and positive. They starts from 0.

For whole numbers, they can also be positive or negative. For Natural numbers, they starts from 1 and above,

For rational numbers, they are basically fractions. Since fractions are written as a ratio of two integers, hence 7/8 is a fraction

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Domain - the set of possible x-coordinates of a function.

Range - the set of possible y-coordinates of a function.

Domain is:

Range is:

This is not a function as it fails the vertical line test.

Domain is:

Range is:

This is not a function as it fails the vertical line test.

Answer:

30.a)  Domain:  [-6, 6]

30.b)  Range:  [-3, 7]

30.c)  Function:  No

31.a)  Domain:  [-2, 2]

31.b)  Range:  [-6, 6]

31.c)  Function:  No

Step-by-step explanation:

Definitions

Interval notation

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

The graph is a conic section (ellipse) and therefore it is not a function.

The smallest x-value is x = -6 and the greatest x-value is x = 6.

The smallest y-value is y = -3 and the greatest y-value is y = 7.

Therefore, the domain and range in interval notation are:

The graph is a not a function as almost all the inputs (x-values) are related to more than one output (y-value).

From inspection of the graph, the endpoints of the continuous line are:

Both endpoints are closed circles, so the values are included in the domain and range.

The smallest x-value is x = -2 and the greatest x-value is x = 2.  

Therefore, the domain in interval notation is:

The smallest y-value is y = -6 and the greatest y-value is y = 6.  

Therefore, the range in interval notation is:

The graph is a not a function as not all inputs (x-values) are related to one output (y-value).

Explanation:

Note, a typical categorical statement usually assert that there is some relationship between the subject and predicate terms of the statement. This is evident in the statements given.

For example, in the first statement the subject; "Kamala Harris" is related to the Office of Vice President. The new forms could read,

1. The first female Vice President of America is Kamala Harris.

2. Majority do not like using Zoom for a class.

Answer:

Length of hypotenuse JH = 9.2 unit (Approx.)

Length of perpendicular JG = 6.5 unit

Step-by-step explanation:

Given:

Length of base GH = 6.5 unit

Angle of H = 45°

Find:

Length of perpendicular JG

Length of hypotenuse JH

Computation:

Using trigonometry function:

Tan θ = Perpendicular / Base

Tan 45 = Perpendicular / 6.5

1 = Perpendicular / 6.5

Perpendicular = 6.5

Length of perpendicular JG = 6.5 unit

hypotenuse = √perpendicular² + base²

Length of hypotenuse JH = √6.5² + 6.5²

Length of hypotenuse JH = √42.25 + 425.25

Length of hypotenuse JH = √84.5

Length of hypotenuse JH = 9.1923

Length of hypotenuse JH = 9.2 unit (Approx.)

The sum of the weight of the empty box and the 940 feathers is approximately \(5.90 \times {10}^{ - 1} \) kg.

A number is expressed using scientific notation when it contains a number larger than 1 but less than 10, that multiplies a power of 10

The empty weight of the box = 56.7 grams

The number of feathers added = 940 feathers

Mass of one feather (unit weight) = 0.000567 kilogram

The total weight of the box with the 940 feathers is found as follows;

56.7 grams = 0.0567 kilograms

Mass of the empty box in kilograms = 0.0567 kilograms

Total mass of the 940 feathers 0.000567 × 940 = 0.53298 kilograms

The total weight of the box with the 940 feathers inside is; 0.0567 kilograms + 0.53298 kilograms = 0.58968 kilograms

The total weight of the box and the feathers = 0.58968 kilograms =

\(5.8968 \times {10}^{ - 1} \)

kilograms

Rounding the coefficient to the nearest tenth gives;

The total weight of the box and the feathers is approximately \(5.90 \times {10}^{ - 1} \) kilograms

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The minimum profit occurs at L = 0, where Q = 0.

To find the value of L that maximizes the profit Q = L²\(e^{(0.01L)\).

We need to differentiate Q with respect to L and find the critical points where the derivative equals zero.

Then we can determine whether each critical point is a maximum or a minimum by examining the second derivative.

Testing for critical points:Q = L²\(e^{(0.01L)\)

Q' = \(2Le^{(0.01L)\) + \(0.01 L^2e^{(0.01L)\)

= 0(2L + 0.01L²) \(e^{(0.01L)\)

= 0L (critical point) or 200 \(e^{(0.01L)\)

= 0 (extraneous, ignore)

2L + 0.01L² = 0L(2 + 0.01L) = 0L = 0 or L = -200 (extraneous, ignore)

The only critical point is at L = 0.

Testing for maximum or minimum:Q'' = \(2e^{(0.01L)\) + 0.02Le^(0.01L) + 0.0001L²\(e^{(0.01L)Q''(0)\)

= \(2e^{(0)\) = 2Since Q''(0) > 0,

The critical point at L = 0 is a minimum.

Therefore, there is no value of L that maximizes the profit.

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The values of L that will maximize the profit are 0 and -200

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

\(Q = L\²e^{0.01L\)

Differentiate the function

So, we have

\(Q' = \frac{L \cdot (L + 200) \cdot e^{0.01L}}{100}\)

Set the equation to 0

\(\frac{L \cdot (L + 200) \cdot e^{0.01L}}{100} = 0\)

Cross multiply

\(L \cdot (L + 200) \cdot e^{0.01L} =0\)

When expanded, we have

L = 0, L + 200 = 0 and \(e^{0.01L} =0\)

When solved for L, we have

L = 0 and L = -200

Hence, the values of L are 0 and -200

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Answer:

answer: 1 + 2 = 3

answer: 1 + 2 = 3

Answer:

1+2=3

Step-by-step explanation:

it math

By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of: D. republicanism.

Federalism simply refers to a form of government in which the federal government and other institutional bodies such as states, towns, smaller units, and provinces share power and authority.

Republicanism can be defined as a form of government that is centered around citizenship in a state and emphasizes their participation for the common good of a geographical area such as states, towns, and other smaller units in a colony.

This ultimately implies that, republicanism involves citizens selecting their representatives (delegates) from each town in a colony, especially through an electoral process such as in Article 8, Fundamental Orders of Connecticut.

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Answer:

republicanism

Step-by-step explanation:

Answer:

2π(x+y+z)

is the factorization

Answer:

5.236, 5.235

Step-by-step explanation:

ya just round em up

Answer:

1) View image attached

2) -3, -2.5, -1, 2, 5

3) -2.5

Step-by-step explanation:

1) Draw a number line, an image is shown below with the number line. You then put "points" on the values that you are plotting. This is also shown in the image attached.

2) The ones with the "-" are negative, meaning that they are below 0. These will always be smaller than those without a "-" sign. In addition to this, the way negative numbers work in terms of least to greatest is completely flipped. For example, -5 is greater than -10, and -10 is less than -5. If the numbers were positive, 5 would be less than 10 and 10 would be greater than 5.

3) The value that isn't an integer is the one that isn't a whole number. In those answer choices you gave, the only one with a decimal is -2.5 (as indicated by the ".5"

C

since its pointing towards the positive side frm d negative

The times the 7 in the Susan's scores is greater than Sarah's score is 100 times

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

Susan = 87, 325

Sarah = 46, 175

The values of the 7's in their scores are

Susan = 7, 000

Sarah = 70

So, we have

Number of times = 7000/70

Evaluate

Number of times = 100

Hence, the number of times is 100

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Answer:

k=13.8

Step-by-step explanation:

Given function:

Subtract final and middle value:

Divide by 2.5:

Therefore, k=13.8..

Answer:

0.148

Step-by-step explanation:

Answer:

- greater than Upper Q 3 plus 1.5 (IQR)

- less than Upper Q 1 minus 1.5 (IQR)

Step-by-step explanation:

To identify outliers the interquartile range of the dataset can be used

Outliers can be identified as data values that are

- greater than Upper Q 3 plus 1.5 (IQR)

- less than Upper Q 1 minus 1.5 (IQR)

Using the interquartile range concept, it is found that:

The interquartile range​ (IQR) of a data set can be used to identify outliers because data values that are 1.5IQR less than Q1 and 1.5IQR more than Q3 and considered outliers.

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

\(v < Q1 - 1.5IQR\) or \(v > Q3 + 1.5IQR\)

Thus:

The interquartile range​ (IQR) of a data set can be used to identify outliers because data values that are 1.5IQR less than Q1 and 1.5IQR more than Q3 and considered outliers.

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The answer is 0.471 radians.

FORMULA:

Just do 27° × π/180 = 0.4712rad but then cut off the two.

Answer:

Marcel's and Stephanie's taxable incomes are less than their annual salaries because they both have a series of tax deductions

Step-by-step explanation:

The circumference of a circle is equal to \(\pi\) times the length of the diameter of the circle (\(\pi\) is a constant which is approximately equal to 3.14).

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

⅘ ≈ 0,8

(w2x - 3) ÷ 10 × z

= (-4 × 2 × 0,8) ÷ 10 × -⅘

= (-8 × 0,8) ÷ -8

= -6,4 ÷ -8

= ⅘ ≈ 0,8

Evalute (w2x - 3) ÷ 10 × z is ⅘ ≈ 0,8.

\( \)

After using the linear equations method we will get 1.76.

What is linear equations?
An equation is said to be linear if the highest power of a variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the standard form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the standard form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present. A linear equation is one that has a degree of 1 as its highest value. No variable in a linear equation, then, has an exponent greater than 1. A linear equation's graph will always be a straight line.

How to calculate question by adding their values in the given equation?

firstly, the given equation is: [w2x-3]/10z
the things or values which are given to us:
w=-4x=0.8z=-4.5
Now putting all the values in the given equation:
[-4*2*0.8-3]/10*-4.5-9.72/-5.5
[by solving the brackets]1.76 [by solving the equation]

Hence the answer is, 1.76

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The volume of the cone in cubic centimeters in terms of π = 120π cm³. That is option B.

To calculate the volume of a cone, the formula that is to be used;

Volume = 1/3 πr²h

Where;

Height = 10 centimetres

Radius = 6 centimetres

Volume = 1/3 × π × 6²× 10

= 360π/3

= 120π cm³

Therefore the volume of the cone whose dimensions are given = 120π cm³.

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The expression 3 ^ 2 * 3 ^ −5   equivalent to  is  1 / 27  .

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given expression,

3 ^ 2 * 3 ^ −5

so,

3 ^ 2 * 3 ^ −5

=3 ^2 / 3 ^5

we know that a^m * a ^n  = a ^ ( m+n )

so we get,

= 3 ^ ( 2-5 )

= 3 ^ -3

= 1 / 3 ^3

Therefore, The expression 3 ^ 2 * 3 ^ −5   equivalent to  is 1 / 27  .

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Answer:

(2) Real and equal (i.e., repeated roots), if D = 0.

Step-by-step explanation:

.In a quadratic equation ax2 + bx + c = 0, if discriminant is D= b2 - 4ac, then roots of the quadratic equation are

Real and equal (i.e., repeated roots), if D = 0.

If the D > b² - 4ac then it's real and distinct.

The only automorphism of a well-ordered set is the identity.

To prove this statement, we need to show that any automorphism of a well-ordered set must be the identity function. An automorphism is a bijective function that preserves the order structure of the set.

Assume we have a well-ordered set (W, ≤), where W is the set and ≤ is the order relation.

Let f: W → W be an automorphism of the set.

We aim to prove that f is the identity function, i.e., f(x) = x for all x ∈ W.

Suppose, for contradiction, that there exists an element a ∈ W such that f(a) ≠ a.

Since f is a bijective function, there must exist some b ∈ W such that f(b) = a.

Since (W, ≤) is well-ordered, there is a least element c in the set {x ∈ W : f(x) ≠ x}.

Let d = f(c). Since f is an automorphism, f(c) ≠ c, and thus d ≠ c.

Since (W, ≤) is well-ordered, there is a least element e in the set {x ∈ W : f(x) = d}.

Consider the element f(e). Since f is a bijective function, there must exist some f^{-1}(f(e)) = e' ∈ W such that f(e') = f(e) = d.

By the definition of automorphism, f(f^{-1}(y)) = y for all y ∈ W. Applying this property to e', we have f(f^{-1}(f(e'))) = f(e') = d.

However, f^{-1}(f(e')) = e' ≠ c, and thus f(e') ≠ d. This contradicts the fact that e is the least element in the set {x ∈ W : f(x) = d}.

Therefore, our assumption that there exists an element a such that f(a) ≠ a is false.

Since we assumed f(a) ≠ a for arbitrary a ∈ W, it follows that f(x) = x for all x ∈ W.

Hence, the only automorphism of a well-ordered set is the identity function.

Therefore, we have proven that the only automorphism of a well-ordered set is the identity function.

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Answer:

x = 10/243

Step-by-step explanation:

3^5x = 10

243x = 10

Divide 243 on both sides

10/243

Answer:

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

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or