Quan makes $72 a day as an Uber driver, plus $8 for each client he has. If
Quan typically makes $104 a day. How many clients does he usually have

The empirical method is the right answer.

Empirical probability is calculated by dividing the number of times an event was seen in your data by the entire sample size. An event's relative frequency is strongly connected to an empirical probability, also known as an experimental probability.

Empirical probability bases its estimation of the likelihood that a specific result will recur on the number of instances of that outcome within a sample set. In short, the empirical method uses relative frequencies to determine probabilities.

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Exponents

The repeated product of the same numbers is usually written as a power of the base with an exponent equal to the number of times it repeats.

For example, the product

2*2*2*2

Is written as

Similarly, when we have an expression in exponent form, we can calculate it as a repeated product.

The expression

Thus, the result is 9

There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.

In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.

A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.

So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.  

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Answer1,200+750+14+9=__1,973__

Step-by-step explanation:

The description of the transformation of z on the complex plane that gives the product of and is to scale by a factor of 4, then rotate counterclockwise by /6 radians.

To understand this transformation, let's break it down into its components. Scaling by a factor of 4 means multiplying by 4. This scales the magnitude of by a factor of 4 but does not change its direction. Next, rotating counterclockwise by /6 radians means rotating around the origin by an angle of /6 in the counterclockwise direction. By performing these two transformations in succession, we first scale by a factor of 4, which stretches or compresses it depending on whether it is inside or outside the unit circle, respectively. Then, we rotate counterclockwise by /6 radians, which changes its angle in the counterclockwise direction by /6 radians.

The resulting transformation gives the product of and because scaling and rotation are commutative operations when applied to complex numbers. The order in which the transformations are performed does not affect the result. Therefore, scaling by a factor of 4, then rotating it counterclockwise by /6 radians, will yield the same result as scaling by a factor of 4, then rotating it counterclockwise by /6 radians.

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Work Shown:

(12 pictures)/(5 minutes) = (132 pictures)/(x minutes)

12/5 = 132/x

12x = 5*132

12x = 660

x = 660/12

x = 55

Note: I used the cross multiplication rule in the third step.

Step-by-step explanation:

when 2 objects are similar, that means that all the angles of one object are the same as the angles in the other object. and - the scaling factor of one pair of correlating sides is the same for all pairs of correlating sides.

therefore,

x/2.7 = 4.8/3.6 = 4/3

x = 4×2.7/3 = 4×0.9 = 3.6 m

Answer:

-9.16666666667

Step-by-step explanation:

there

Answer:-9.16666666667

Step-by-step explanation:

Answer:

x = 32

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+18) * 18 = 30^2

(x+18) * 18 = 900

Divide each side by 18

(x+18) * 18/18 = 900/18

(x+18)  = 50

Subtract 18 from each side

x+18-18 = 50-18

x=32

Answer:

50

Step-by-step explanation:

tangent-secant theorem

To make an informed decision using probability, collect relevant background information, data/observations, assumptions/constraints, sprobabilistic model, expert opinions, and external sources.

Probabilistic models: Depending on the complexity of the problem, I might develop or utilize probabilistic models. These models help to quantify uncertainties and estimate the likelihood of various outcomes. This could involve using statistical techniques, simulation methods, or probabilistic algorithms.

Expert sprobabilistic model: If available, I would seek expert opinions or consult with individuals who have domain-specific knowledge or expertise. Their insights can provide valuable perspectives and help refine the probabilistic assessment.

External sources: I would consider relevant external sources such as published studies, reports, or industry benchmarks. These sources can provide additional information or benchmarks against which the probabilities and outcomes can be evaluated.

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Answer:

The values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

Step-by-step explanation:

Since we are given the points (-2.5,0), (-0.75, 0), (0, -3) and (1,0) where the coordinates are in ordered pairs of (x, y) where y = f(x).

To find the values in the domain where f(x) = 0, we look at the ordered pairs given.

We look for the pair in which f(x) = 0.

So f(x) = 0 in (-2.5, 0)

f(x) = 0 in (-0.75, 0)

and f(x) = 0 in (1, 0)

The corresponding values of x  in which f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

So, the values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

Answer:

C. \(x=1\)

Step-by-step explanation:

When x is 1, y is 0.

Answer:

i

Step-by-step explanation:

ask your teacher

Answer:

Let the altitude be represented by y and the time taken by x

so y = 3776 - 6x

A linear function is an algebraic equation with variables with a degree of only 1 and constants and is represented in a straight line form on a graph.

The slope Of a straight line (which represents a linear function) is the tangent of the angle made by the line with the x-axis. For a straight line passing through (x1,y1) and (x2,y2) the slope is given by

m= (y2-y1)/(x2-x1).

y-y1 = m(x-x1) where y represents y co-ordinate and x represents x- co-ordinate and m is the slope of the line which passes through(x1,y1).

So let time in minutes be represented by 'x'

So let altitude in meters be represented by 'y'

So the (x,y) coordinates according to the given data are (0,3776),(88/3,3600),(126,3020),(538/3,2700) and (231,2390).

So for slope which is m = (3600-3776)/(88/3-0) so slope = -6.

So the linear function is: y-3776 = -6(x-0)

6x+y=3776

So the linear function for the altitude in terms of the time they traveled is 6x+y = 3776

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Answer:

vertical line of symmetry. if you split the shape in the middle, the two pieces would be the same. it also has rotational symmetry because if you rotate it, it would still look the same and be the same shape.

It does not have horizontal or diagonal symmetry because if you split it those ways, the two pieces made will be different. Because it has rotational and vertical symmetry, it does not have "no symmetry"

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

The trams will leave at the same time again 5 hours and 50 minutes after their initial departure time of 9:30 or at 15:20

To determine when both trams will leave at the same time again, we need to find the least common multiple (LCM) of their time intervals.

The first tram takes 35 minutes to get to the beach, while the second tram takes 50 minutes to get to the airport.

The LCM of 35 and 50 can be found by finding their prime factorization:

35 = 5 * 7

50 = 2 * 5 * 5

To find the LCM, we take the highest power of each prime factor that appears in either number:

LCM = 2 * 5 * 5 * 7

LCM = 350

Therefore, the trams will leave at the same time again after 350 minutes or after 5 hours and 50 minutes, which is equal to 15:20.

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The volume of cast iron pipe is 1053.19 in³.

The volume of a cylinder can be calculated by: \(\pi *r^2*h\), where:

r = radius

h= height

In this question, the cylinder is represented for a pipe, where:

r = inner diameter= \(inner\;diameter=outer\;diameter-2*thickness\)

h= length of pipe

From this, you should apply the volume of the pipe. See the steps:

         inner diameter=outer diameter-2*thickness

         inner diameter=8-2*0.6

         inner diameter=8-1.2=6.8 in              

                  \(V_{pipe}=\pi *r_{internal}^2*h\\ \\ V_{pipe}=\pi *(\frac{6.8}{2} )^2*29\\ \\ V_{pipe}=\pi *(3.4)^2*29=1053.19\;in^3\)

The volume of cast iron pipe is 1053.19 in³.

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An equation of the tangent line to the curve \(x e^y+y e^x=4\) at the point (0, 4) is \(y=-(4+e^4) x+4\).

A tangent is described as a line that intersects a circle or an ellipse only at one point. If a line touches a curve at P, the point "P" is known as the point of tangency.

Now according to the question;

To obtain the tangent at a given point, we must first obtain the slope at that point by obtaining the differentiation value at that point  \(\left.y^{\prime}\right|_{x=0, y=4}\) as-

Consider the given equation;

\(x e^y+y e^x=4\)

Differentiate both side with respect to x;

\(\begin{aligned}&\frac{d}{d x}\left(x e^y+y e^x\right)=\frac{d}{d x} 4 \\&\frac{d}{d x} x e^y+\frac{d}{d x} y e^x=0\end{aligned}\)

Now apply product rule;

\(\begin{aligned}&e^y \frac{d}{d x} x+x \frac{d}{d x} e^y+e^x \frac{d}{d x} y+y \frac{d}{d x} e^x=0 \\&e^y \frac{d}{d x} x+x \frac{d}{d y} e^y \cdot y^{\prime}+e^x y^{\prime}+y \frac{d}{d x} e^x=0\end{aligned}\)

Applying exponential and power rule;

\(\begin{aligned}&e^y \cdot 1+x e^y \cdot y^{\prime}+e^x y^{\prime}+y e^x=0 \\&\left(x e^y+e^x\right) y^{\prime}=-y e^x-e^y\end{aligned}\)

Solve the value of y'

\(y^{\prime}=\frac{-y e^x-e^y}{x e^y+e^x}\)

Now, find the value of slope m.

\(m=\left.y^{\prime}\right|_{x=0, y=4}\)

\(\frac{-4 \cdot e^0-e^4}{0 e^4+e^0}=-4-e^4\)

Now, using the point-slope formula, obtain the line equation as follows.

\(\begin{aligned}&\left(y-y_1\right)=m\left(x-x_1\right) \\&(y-4)=-(4+e^4) \cdot(x-0) \\&y=-(4+e^4) x+4\end{aligned}\)

Therefore, an equation of the tangent line to the curve is   \(y=-(4+e^4) x+4\).

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The exact location of the first hole is given by "related dimensions."

Let C = circumference of the circle,

R = radius of the circle, and

O = center point of the circle.

The exact location of the first hole can be calculated using the following equation:

Angle of First Hole = (2π/N)*1 + O

where N = number of holes.

The circumference, radius, and centre point of the circle, as well as any other relevant dimensions, can be used to determine the precise placement of the first hole. By calculating the angle of each hole from the circle's centre, these measurements can then be utilised to pinpoint the exact location of the initial hole.

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The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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The limit of the cost for a month as the number of hours approaches 10 is $55.

When a member uses the car for exactly 10 hours, the cost is covered by the $55 per month fee, which includes 10 hours of driving. Since the fee already covers the cost, there are no additional charges for those 10 hours.

To calculate the limit as the number of hours approaches 10, we consider what happens as the number of hours gets closer and closer to 10, but never reaches it. In this case, as the number of hours approaches 10 from either side, the cost remains the same because the fee already includes 10 hours of driving. Thus, the limit of the cost for a month as the number of hours approaches 10 is $55.

Therefore, regardless of whether the number of hours is slightly below 10 or slightly above 10, the cost for a month will always be $55.

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With regard to the Right Angled Triangle, the needed trigonometric ratios of angle C in the given table are

(a) adjacent leg ÷ hypotenuse (cos C) = 0.95

(b) opposite leg ÷ hypotenuse (sin C) = 0.31

(c) opposite leg ÷ adjacent leg (tan C) = 0.33

The three important trigonometric ratios are:

sin θ = opposite leg ÷ hypotenuse

cos θ = adjacent leg ÷ hypotenuse

tan θ = opposite leg ÷ adjacent leg

The calculations are given as follows:

In the given right-angle triangle, the ratios are given as

cos A = adjacent leg ÷ hypotenuse = 0.31

sin A = opposite leg ÷ hypotenuse = 0.95

tan A = opposite leg ÷ adjacent leg = 3.06

These ratios are w.r.t the angle A.

Since we know that, in the right angle triangle,

∠A + ∠B + ∠C = 180°

⇒ ∠A + 90° + ∠C = 180°

⇒ ∠A = 180° - 90° - ∠C

∴ ∠A = 90° - ∠C

So, the trigonometric ratios w.r.t the angle C are:

(a) cos A = cos (90° - ∠C) = sin C

But we have cos A = 0.31

∴ sin C = 0.31

(b) sin A = sin (90° - ∠C) = cos C

But we have sin A = 0.95

∴ cos C = 0.95

(c) Then, tan C = sin C/cos C

Here we got sin C = 0.31 and cos C = 0.95

So, tan C = 0.31/0.95 = 0.33

Thus, the table is as follows:

angle    adj ÷ hyp    opp ÷ hyp    opp ÷ adj

A              0.31              0.95               3.06

B              0.95             0.31                0.33

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Full Question:

Given that the question is incomplete, it appears you ere referring to the attached math challenge.

Complete question :

Laura and Martin obtain a 30-year, $180,000 conventional mortgage at 10.0% on a house selling for $210,000. Their monthly mortgage payment, including principal and interest, is $1566.00. Determine the total amount they will pay for their house. How much of the cost will be interest? How much of the first payment on the mortgage is applied to the principal?

Answer:

$563760 ; $383760 ; $66

Step-by-step explanation:

Given that:

Monthly mortgage payment = $1566

Period = 30 years

Number of months in period = (30 * 12) = 360

Principal = $180,000

1.)

Total amount paid :

Monthly payment * period

$1566 * 360 = $563760

2.)

Total amount paid = Principal + Interest

Interest = Total amount paid - principal

Interest = $563760 - $180000

Interest = $383760

3)

First payment = 1566

Interest rate = 10% per annum = 0.1 / 12 = 0.0083333

monthly interest: 180,000 * 0.0083333 = 1500

Principal = 1566 - 1500 = $66

Answer:

3 hours i believe

Step-by-step explanation:

i did 11.25 (11 1/4) divided by 3.75 (3 3/4)

The total number of hours in a single shift is 3 hours

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of hours in a single shift be = A

Now , The total length of equal shifts Skylar worked last week = 3 3/4 shifts

The total length of equal shifts Skylar worked last week = 15 / 4 shifts

The total number of hours Skylar worked in the week = 11 1/4 hours

The total number of hours Skylar worked in the week = 45 / 4

Now , the equation will be

Total length of equal shifts Skylar worked last week = total number of hours Skylar worked in the week

So ,

Total length of one shift of Skylar = total number of hours Skylar worked in the week / Total length of equal shifts Skylar worked last week

On substituting the values in the equation , we get

Total length of one shift of Skylar A = ( 45/4 ) / ( 15/4 )

On simplifying the equation , we get

A = ( 45/4 ) / ( 15/4 )

A = 45 / 15

A = 3 hours

Therefore , the value of A is 3 hours

Hence , The total number of hours in a single shift is 3 hours

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Answer:

\(A = 43.0^o\)

\(B = 55.0^o\)

\(BC = 20.0\)

Step-by-step explanation:

I will solve this question with the attached triangle

From the attachment, we have:

\(\angle C =82^o\)

\(AB = 29\)

\(AC = 24\)

Required

Solve the triangle

First, we calculate \(\angle B\) using sine law:

\(\frac{AC}{\sin(B)} = \frac{AB}{\sin(C)}\)

This gives:

\(\frac{24}{\sin(B)} = \frac{29}{\sin(82^o)}\)

\(\frac{24}{\sin(B)} = \frac{29}{0.9903}\)

Cross multiply

\(\sin(B) * 29 = 24 * 0.9903\)

\(\sin(B) * 29 = 23.7672\)

Divide both sides by 29

\(\sin(B) = 0.8196\)

Take arcsin of both sides

\(B = \sin^{-1}(0.8196)\)

\(B = 55.0^o\)

Next, calculate \(\angle A\) using:

\(A + B + C = 180^o\) --- angles in a triangle

\(A + 55^o + 82^o = 180^o\)

Collect like terms

\(A = 180^o-55.0^o - 82^o\)

\(A = 43.0^o\)

Next, calculate BC using sine laws

\(\frac{BC}{\sin(A)} = \frac{AB}{\sin(C)}\)

This gives:

\(\frac{BC}{\sin(43.0)} = \frac{29}{\sin(82)}\)

\(\frac{BC}{0.6820} = \frac{29}{0.9903}\)

Make BC the subject

\(BC = \frac{29*0.6820}{0.9903}\)

\(BC = 20.0\)

Answer:

the answer is 5 because that is the difference which is what they are asking.

Step-by-step explanation:

12 -7 =5

. . . . . . .| . . . . .

-

. . . . . . .|

            | . . . . .

The elimination method is a technique used to solve a system of linear equations.

It involves manipulating the equations to eliminate one variable and solve for the other. To use the elimination method, you must first ensure that both equations are in standard form with the variables on one side and the constants on the other.

Then, you can choose one variable to eliminate by multiplying one or both equations by a constant so that the coefficients of that variable become opposites. Once the variable is eliminated, you can solve for the other variable by plugging in the value you found for the eliminated variable.  

The elimination method is useful when solving systems of equations with two variables and is often faster and more efficient than other methods such as substitution.

However, it can be more complicated to use with larger systems of equations and requires careful attention to detail to avoid making mistakes.

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The function f(x)= x2+9/1 is not defined at any real number.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Initially, functions represented the idealized relationship between two changing quantities.

The function f(x)= x2−16/1 is not defined at x values that are equal to 4 and -4, which can be expressed as a list as (-4, 4).

The function f(x)= x2+9/1 is not defined at any real number.

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