The topology taxi company charges 2.60 for the first quarter of a mile and 0.36 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a function of the number of miles driven m

Answer:

Veganism :)

Step-by-step explanation:

Step-by-step explanation:

B: Veganism.

but ... how is that mathematics ?

Answer:

C)

Step-by-step explanation:

The correct answer is C: Tony did not use the property correctly because he did not multiply every term on both sides of the equals sign by 1/4.

To solve the equation 4x = 12x + 20, Tony used the multiplicative property of equality but made an error in the application. The correct approach would be to multiply every term on both sides of the equals sign by the reciprocal of the coefficient of x, which is 1/4 in this case.

However, Tony only multiplied one term on each side by 1/4, resulting in equation x = 3x + 20. This action is incorrect because it does not apply the property to every term containing x. To solve the equation correctly, Tony should have multiplied both sides by 1/4, resulting in x/4 = (3x + 20)/4.

Answer:

14v2-V-10

Step-by-step explanation:  you can look it up -for step by step

Answer: -15 divided by 0.3 is the same as -15/3/10 but to solve we can do -15 times 10/3 witch is -150/3=-50

Step-by-step explanation:

\(dy = d(ln(√(1 - t^2))) = (1/2) (1 - t^2)^(-1/2) (-2t) dt = -t(1 - t^2)^(-1/2) dt\)The arc length of the curve defined by the parametric equations x = a arcsin(t) and y = ln(√(1-t^2)), where 0 ≤ t ≤ 1/2, is (1/2)πa.

To find the arc length, we start by calculating the differentials dx and dy:

dx = a cos(arcsin(t)) dt = a √\((1 - t^2)\)dt

\(dy = d(ln(√(1 - t^2))) = (1/2) (1 - t^2)^(-1/2) (-2t) dt = -t(1 - t^2)^(-1/2) dt\)

Next, we use the formula for the arc length of a curve given by

parametric equations:

L = ∫[a, b] √\((dx^2 + dy^2)\)

Substituting the differentials, we have:

L = ∫[0, 1/2] √((a √\((1 - t^2))^2 + (-t(1 - t^2)^(-1/2))^2) dt\\\)

= ∫[0, 1/2] √\((a^2 (1 - t^2) + t^2 (1 - t^2)) dt\\\)

=∫[0, 1/2] √\((a^2 - a^2t^2 + t^2 - t^4) dt\\\)

= ∫[0, 1/2] √\((a^2 - t^2(a^2 - t^2)) dt\)

After simplifying, we obtain:

\(L = ∫[0, 1/2] √(a^2 - t^2(a^2 - t^2)) dt\\= ∫[0, 1/2] √(a^2 - a^2t^2 + t^4) dt\\= ∫[0, 1/2] √(a^2(1 - t^2) + t^4) dt\)

L = ∫[0, 1/2] √\((a^2 - t^2(a^2 - t^2)) dt\\\)

= ∫[0, 1/2] √\((a^2(1 - t^2) + t^4) dt\)

=∫[0, 1/2] √\((a^2(1 - t^2) + t^4) dt\)

Since the integrand is a constant times the derivative of arcsin(t), we can evaluate the integral using the substitution method. The resulting integral is:

L = (1/2)πa

Hence, the arc length of the curve is (1/2)πa, where a is a constant and 0 ≤ t ≤ 1/2.

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Answer:

Step-by-step explanation:

Who knows

H

Bayes' theorem is a statistical method used to determine the likelihood of an event occurring based on prior knowledge of related events.

Bayes' theorem in business analytics is used to make decisions based on probabilities and past events.In business analytics, Bayes' theorem can be used to make predictions, such as the likelihood of a customer purchasing a particular product or the probability of a business achieving its goals.

The theorem helps to estimate the probability of an event based on prior knowledge of related events.

Calculus can be used to develop Bayesian models in business analytics. Calculus plays a significant role in Bayes' theorem as it enables business analysts to perform complex mathematical calculations with a high degree of accuracy.

Calculus can be used to optimize Bayesian models and improve their accuracy. It can also be used to develop algorithms that enable Bayesian models to be updated as new data is acquired.

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Noote that the measure of angle R is 27°. Here is how we got that.

Since the largest triangle is right triangle, the vertical segment is the perpendicular bisector of right angle with vertex at the center of circle.

Then we have

m∠R + 18° = 90°/2

m∠R + 18° = 45°

m∠R = 45° - 18°

m∠R = 27°

Note that the angle on the top of the triangle is right angle, 90 deg. Its altitude is the vertical segment, which is also angle bisector. It bisects the right angle and each formed angle measures 90/2 = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See the attached iamge.

Answer:

Step-by-step explanation:

Answer: 80

Step-by-step explanation: took the test

Answer: its not 80

Step-by-step explanation:

took the test trust me.

The execution of the code segment will result in statement2 being executed. The code segment contains a conditional statement that uses the logical OR operator (||) to combine two conditions.

The first condition checks whether the result of dividing num1 by num2 is less than 0, while the second condition checks whether the product of num1 and num2 is greater than 0.

Given that num1 is 0 and num2 is 10, the first condition will evaluate to false, because 0 divided by any positive number is 0. However, the second condition will evaluate to true, because the product of two non-zero numbers with the same sign is always positive.

Since the logical OR operator requires only one of the conditions to be true for the entire statement to be true, the overall result will be true. As a result, statement1 will not be executed, and statement2 will be executed instead.

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Answer:

(4x - 10) = 58  

Step-by-step explanation:

Problem? ?   If   (4x - 10) - 58 = 0  

        (4x -10) - 58 +58 = 0 + 58             Add 58 to both side of the equation  

   (4x - 10) = 58        

Algorithm 2 is the better proposal for this problem.

The reason for this is because of the specific nature of the problem statement.

The prompt calls for a count of the numbers that are multiples of either 5 or 10. However, Algorithm 1 only counts the numbers that are multiples of both 5 and 10.

This means that Algorithm 1 will not capture all the relevant numbers in the list, thus leading to incorrect results.

On the other hand, Algorithm 2 correctly counts all the numbers that are multiples of either 5 or 10. This is because it checks for multiples of 5 first and increments count if it finds a multiple.

Then, it checks for multiples of 10 and increments count again if it finds a multiple. By doing this, Algorithm 2 correctly captures all the relevant numbers in the list, thus leading to correct results.

Overall, Algorithm 2 is the better proposal for this problem.

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a. Bisection Method: To use the bisection method to find the real roots of the equation f(x) = x³ + x² - 10x + 8, we need to find an interval [a, b] such that f(a) and f(b) have opposite signs.

Let's make a preliminary estimate and choose the interval [1, 2] based on observing the sign changes in the equation.

Iteration 1: a = 1, b = 2

c = (a + b) / 2

= (1 + 2) / 2 is 1.5

f(c) = (1.5)³ + (1.5)² - 10(1.5) + 8 ≈ -1.375

ince f(c) has a negative value, the root lies in the interval [1.5, 2].

Iteration 2:

a = 1.5, b = 2

c = (a + b) / 2

= (1.5 + 2) / 2 is 1.75

f(c) = (1.75)³ + (1.75)² - 10(1.75) + 8 ≈ 0.9844

Since f(c) has a positive value, the root lies in the interval [1.5, 1.75].

Iteration 3: a = 1.5, b = 1.75

c = (a + b) / 2

= (1.5 + 1.75) / 2 is 1.625

f(c) = (1.625)³ + (1.625)² - 10(1.625) + 8  is -0.2141

Since f(c) has a negative value, the root lies in the interval [1.625, 1.75].

Iteration 4: a = 1.625, b = 1.75

c = (a + b) / 2

= (1.625 + 1.75) / 2 is 1.6875

f(c) = (1.6875)³ + (1.6875)² - 10(1.6875) + 8 which gives 0.3887.

Since f(c) has a positive value, the root lies in the interval [1.625, 1.6875].

Iteration 5: a = 1.625, b = 1.6875

c = (a + b) / 2

= (1.625 + 1.6875) / 2 is 1.65625

f(c) = (1.65625)³ + (1.65625)² - 10(1.65625) + 8 is 0.0873 .

Since f(c) has a positive value, the root lies in the interval [1.625, 1.65625].

Iteration 6: a = 1.625, b = 1.65625

c = (a + b) / 2

= (1.625 + 1.65625) / 2 which gives 1.640625

f(c) = (1.640625)³ + (1.640625)² - 10(1.640625) + 8 which gives -0.0638.

Since f(c) has a negative value, the root lies in the interval [1.640625, 1.65625].

teration 7: a = 1.640625, b = 1.65625

c = (a + b) / 2

= (1.640625 + 1.65625) / 2 results to 1.6484375

f(c) = (1.6484375)³ + (1.6484375)² - 10(1.6484375) + 8 is 0.0116

Since f(c) has a positive value, the root lies in the interval [1.640625, 1.6484375].

Continuing this process, we can narrow down the interval further until we reach the desired level of accuracy.

b. Newton-Raphson Method: The Newton-Raphson method requires an initial estimate for the root. Let's choose x₀ = 1.5 as our initial estimate.

Iteration 1:

x₁ = x₀ - (f(x₀) / f'(x₀))

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 which gives -1.375.

f'(x₀) = 3(1.5)² + 2(1.5) - 10 which gives -1.25.

x₁ ≈ 1.5 - (-1.375) / (-1.25) which gives 2.6.

Continuing this process, we can iteratively refine our estimate until we reach the desired level of accuracy.

c. Secant Method: The secant method also requires two initial estimates for the root. Let's choose x₀ = 1.5 and x₁ = 2 as our initial estimates.

Iteration 1: x₂ = x₁ - (f(x₁) * (x₁ - x₀)) / (f(x₁) - f(x₀))

f(x₁) = (2)³ + (2)² - 10(2) + 8 gives 4

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 gives -1.375

x₂ ≈ 2 - (4 * (2 - 1.5)) / (4 - (-1.375)) gives 1.7826

Continuing this process, we can iteratively refine our estimates until we reach the desired level of accuracy.

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a)  it costs more money to make 100 photocopies

b) you can buy more than 500 photocopies for $40

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

a) In the  graph , 100 photocopies cost $10,

For 101  photocopies, the point on the line comes below of 10 on y axis

So, it costs more money to make 100 photocopies

b)  graph arrow shows line moves on...

so, you can buy more than 500 photocopies for $40

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Answer:

X=5y/2

Step-by-step explanation:

60 forks 60÷3=$20

60 spoons 60÷4=$15

$20+$15=$35 total spent for forks and spoons

angle has a measure equal to the sum of the the question is ∠DQS.


According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.

Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.



Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.

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Answer:

The set of probabilities associated with the values in a random variable's sample space is called the probability distribution. It provides the probability of each possible outcome or value that the random variable can take.

Step-by-step explanation:

The probability distribution can be represented in various forms, depending on the type of random variable. For discrete random variables, the probability distribution is often presented as a probability mass function (PMF), which assigns a probability to each possible value. For continuous random variables, the probability distribution is typically described by a probability density function (PDF), which specifies the likelihood of the variable falling within a certain range of values.

For example, let's consider a random variable X that represents the outcome of rolling a fair six-sided die. The sample space of X consists of the values {1, 2, 3, 4, 5, 6}. The probability distribution or PMF for X would assign a probability to each of these values.

Assuming the die is fair, each outcome has an equal probability of occurring, so the PMF for X would be:

P(X = 1) = 1/6

P(X = 2) = 1/6

P(X = 3) = 1/6

P(X = 4) = 1/6

P(X = 5) = 1/6

P(X = 6) = 1/6

These probabilities sum up to 1, indicating that the probabilities assigned to all possible values of X cover the entire sample space.

Answer:

See below.

Step-by-step explanation:

When Brian passes Alex they both have travelled the same distance.

Call this distance d.

Let the speed that Brian passes = x miles/hour.

Distance = speed * time  so:

For Alex:

d = (x - 5) * 1.5        ( Alex cycles for 1 + 30 minutes =  1.5 hours)

For Brian:

d = x * 1

So substituting d = x in Alex's equation:

x = 1.5(x - 5)

x = 1.5x - 7.5

7.5 = 0.5x

7/5 / 0.5 = x

15 = x.

ANSWER:

Brian's speed is 15 miles/hour.

Alex's speed is 15 - 5 = 10 miles/hour.

The value of the triple integral will be zero so the flux of the given surface is zero.

To compute the flux using the Divergence Theorem, we need to follow these steps:

1. Find the divergence of the vector field F(x, y, z) = (zx, yx³, x²z).
2. Set up the triple integral over the solid region bounded by y = 4 - x²z² and y = 0.
3. Evaluate the triple integral to find the flux.

Step 1: Find the divergence of F.
∇ · F = (∂/∂x, ∂/∂y, ∂/∂z) · (zx, yx³, x²z) = (∂/∂x)(zx) + (∂/∂y)(yx³) + (∂/∂z)(x²z) = z + 3yx² + x²

Step 2: Set up the triple integral.
The solid region is bounded by y = 0 and y = 4 - x²z². To set up the integral, we need to express the limits of integration in terms of x, y, and z.

Let's use the following order of integration: dy dz dx.
For y, the bounds are 0 to 4 - x²z².
For z, the bounds are -2 to 2 (since -2 ≤ z ≤ 2 when y = 4 - x²z², x ∈ [-1, 1]).
For x, the bounds are -1 to 1 (due to the x² term in the bounding equation).

Step 3: Evaluate the triple integral.
Flux = ∫∫∫ (z + 3yx² + x²) dy dz dx, with the limits as described above.

The value of the triple integral will be zero so the flux of the given surface is zero.

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There are 19/9 ounces in each sprinkle of sundae

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

Number of sundaes = 4

Ounces of sprinkles = \(8\frac49\) ounces

From the above parameter, we can calculate the amount of sprinkles using the constant of proportionality formula

This is represented as

Ounces per sprinkle = Ounces of sprinkles/Number of sprinkles

Substitute the known values in the above equation

So, we have the following equation

Ounces per sprinkle = \(8\frac49\)/4

Evaluate the quotient

Ounces per sprinkle = 19/9

Hence, the ounces per sprinkle is 19/9 ounces

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Answer:

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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To show that y⃗()=⎡⎣⎢⎢2−−⎤⎦⎥⎥ is a solution to the system of linear homogeneous differential equations, we need to substitute the values of y1, y2, and y3 from the given y⃗() vector into the equations for y′1, y′2, and y′3. If y⃗() satisfies these equations, it is a solution to the system.

Substituting the values of y1, y2, and y3 from y⃗() into the equation for y′1=2y1+y2+y3 gives:

y′1 = 2(2) + (-1) + (-1) = 2

So, the value of each term in the equation y′1=2y1+y2+y3 in terms of the variable is: 2 + 0x + 0x

Similarly, substituting the values of y1, y2, and y3 from y⃗() into the equation for y′2=y1+y2+2y3 gives:

y′2 = (2) + (-1) + 2(-1) = -2

So, the value of each term in the equation y′2=y1+y2+2y3 in terms of the variable is: 0x - 2 + 0x

Finally, substituting the values of y1, y2, and y3 from y⃗() into the equation for y′3=y1+2y2+y3 gives:

y′3 = (2) + 2(-1) + (-1) = -1

So, the value of each term in the equation y′3=y1+2y2+y3 in terms of the variable is: 0x + 0x - 1

Therefore, we have shown that y⃗()=⎡⎣⎢⎢2−−⎤⎦⎥⎥ is a solution to the system of linear homogeneous differential equations.
Given y⃗() = [2, -, -], we want to show it's a solution to the system of linear homogeneous differential equations:

1. y′1 = 2y1 + y2 + y3
2. y′2 = y1 + y2 + 2y3
3. y′3 = y1 + 2y2 + y3

Step 1: Identify the components of y⃗()
y1 = 2, y2 = -, y3 = -

Step 2: Substitute the components into each equation:

Equation 1: y′1 = 2(2) + (-) + (-) = 4 - 1 - 1 = 2
Equation 2: y′2 = 2 + (-) + 2(-) = 2 - 1 - 2 = -1
Equation 3: y′3 = 2 + 2(-) + (-) = 2 - 2 - 1 = -1

Step 3: Rewrite the equations in terms of the variable:

y′1 = 2y1 + y2 + y3 = 2(2) + (-) + (-) = 2
y′2 = y1 + y2 + 2y3 = 2 + (-) + 2(-) = -1
y′3 = y1 + 2y2 + y3 = 2 + 2(-) + (-) = -1

As the equations hold true, y⃗() = [2, -, -] is a solution to the system of linear homogeneous differential equations.

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Answer:

$0.20/lb

Step-by-step explanation:

2.99/15 = 199333

.20/lb

The type and the degree of association that we have here is As the time a basketball player practices increases, the number of points scored in a game increases with a strong nonlinear association.

What is a non linear relationship?

We can see the trend that the plot is taking, it is going upwards. This shows that the increase in practice time was making him better at scoring points.

When he practiced at 20 minutes, he scored 10 points

Also the relationship is non linear given that all of the points do not fall on the same line if it is to be ruled. There are points outside.

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Answer:

1440

Step-by-step explanation:

You add 180° for each side.