Better taxi service charges $3.00 for the first mile plus $0.20 for each additional mile. Best
taxi service charges $6.00 for the first two miles plus $0.10 for each additional mile. How
many miles will a person travel in order to spend an equal amount of money using either
service?
PLEASE AN EXPERT THIS IS WORTH 50 POINTS!!!!!!!!!

Descartes' Rule of Signs states that the number of positive real zeros of a polynomial can be determined by counting the number of sign changes in the polynomial's coefficients, and that the number of negative real zeros is at most the number of sign changes.

The only operations used in a polynomial are addition, subtraction, multiplication, and non-negative integer exponentiation of the variables. Polynomials are mathematical expressions made up of variables (also known as indeterminates) and coefficients.

A polynomial function in an equation is a function that only employs non-negative integer powers or only positive integer exponents of a variable. Examples of such functions include the cubic equation, the quadratic equation, and others. The exponent of the polynomial 2x+5 is 1, for instance.

To know more about polynomial visit:

https://brainly.com/question/11536910

#SPJ4

The function we have is:

The steps to find the inverse function are:

Step 1. Solve for x.

In this case, we solve for x by dividing both sides of the equation by 4:

Step 2. Change f(x) for x, and x for the inverse function f^-1(x):

If we call this inverse function h(x) we get the result:

Answer:

9.8 carats.

Step-by-step explanation:

5.1 + 0.7 + 1.4 + 2.6

= 9.8

Answer:

a. 1

b. 1

Step-by-step explanation:

by looking at the graph you can deduce the answer.

The equation for the given graph is g(x) = x²-3, and the value of g(2) will be 5.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation for the function is,

g(x) = x²-3

The graph of a quadratic function that has something bowl-shaped. Any equation of the form ax²+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

To find the value of g (2) the value of the function is,

g(2) = 2²-3

g(2) =8-3

g(2) =5

Thus, the equation for the given graph is g(x) = x²-3, and the value of g(2) will be 5.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

The square box is big enough to fit the pizza?

The given parameters are:

Diameter of pizza = ten and one third inches

Length of square box =  10.38 inches

Express the diameter as a numeral.

So, we have:

Diameter of pizza = 10 + 1/3 inches

Evaluate the sum

Diameter of pizza = 10.33 inches

By comparison:

10.33 inches is less than 10.38 inches

This means that the square box is big enough to fit the pizza?

Read more about lengths at:

https://brainly.com/question/24571594

#SPJ1

Answer:

The answer to the question provided is possibly 2.

Step-by-step explanation:

\( \: \: \: \: \: \: \: \: \: \: \: \: 3y + 77 = 2y + 79 \\ \frac{ - 2y \: \: \: \: \: \: = - 2y}{1y + 77 = 79} \\ \frac{ \: \: \: \: \: \: \: \: - 77 = - 77}{ \frac{1y}{1} = \frac{2}{1} } \\ \\ y = 2\)

In triangle XYZ, XZ = 8, XY = 12, and YZ = 6. We need to determine which statement about the angles of the triangle must be true.

Let's analyze the given triangle using the side lengths:

XZ = 8

XY = 12

YZ = 6

Using the side lengths, we can apply 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.

Applying this theorem to triangle XYZ, we have:

XZ + XY > YZ

8 + 12 > 6

20 > 6 (True)

XY + YZ > XZ

12 + 6 > 8

18 > 8 (True)

XZ + YZ > XY

8 + 6 > 12

14 > 12 (True)

From the triangle inequality theorem, we can conclude that the triangle XYZ is a valid triangle.

Now, let's analyze the angles of the triangle. We know that the sum of the angles in any triangle is 180 degrees.

Let's consider each statement:

A - ∠Z has the least measure.

B - ∠Y has the least measure.

C - ∠Z has the greatest measure.

D - ∠X has the greatest measure.

Since we don't have any information about the angle measures directly given, we cannot determine which angle has the least or greatest measure based on the given side lengths.

Therefore, none of the given statements must be true.

Answer: None of the given statements must be true.

To learn more about triangle  Click Here: brainly.com/question/2773823

#SPJ11

It conclude the Tyson-brand exceeds proportion of Perdue-brand chickens testing positive.

The test statistic and p-value are 2.33 and 0.0001 respectively.

The p-value < significance level, reject null hypothesis.

To test the hypothesis,

The proportion of Tyson-brand chickens testing positive exceeds the proportion of Perdue-brand chickens testing positive,

Use a two-proportion z-test. Let us state the relevant hypotheses.

Null Hypothesis (H₀),  p₁ ≤ p₂

Alternative Hypothesis (H₁), p₁ > p₂

Where

p₁ = Proportion of Perdue-brand chickens testing positive

p₂ = Proportion of Tyson-brand chickens testing positive

Now, let us calculate the test statistic and p-value,

First, calculate the sample proportions,

p₁ = 35/80

   = 0.4375 (proportion of Perdue-brand chickens testing positive)

p₂= 66/80

   = 0.825 (proportion of Tyson-brand chickens testing positive)

Next, calculate the standard error (SE) of the difference between two proportions,

SE = √[(p₁ × (1 - p₁) / n₁) + (p₂ × (1 - p₂) / n₂)]

= √[(0.4375 × (1 - 0.4375) / 80) + (0.825 × (1 - 0.825) / 80)]

≈ 0.0844

Then, calculate the test statistic (z),

z = (p₁ - p₂) / SE

= (0.4375 - 0.825) / 0.0844

≈ -4.5821

Using a significance level of 0.01, the critical z-value for a one-tailed test is approximately 2.33 using z-calculator.

Finally, calculate the p-value associated with the test statistic.

p-value = P(Z > -4.5821)

Using a z-calculator, find that the p-value is very close to 0 (p-value < 0.0001).

Interpreting the results,

Since the p-value (0.0001) is less than the significance level (0.01), we reject the null hypothesis.

Therefore, sufficient evidence to conclude proportion of Tyson-brand chickens testing positive exceeds proportion of Perdue-brand chickens testing positive.

Learn more about proportion here

brainly.com/question/24096656

#SPJ4

The above question is incomplete, the complete question is:

An article in the publication Consumer Reports reported the following data: * 35 of 80 randomly selected Perdue-brand chickens tested positive for campylobacter bacteria, salmonella bacteria, or both. * 66 of 80 randomly selected Tyson-brand chickens tested positive for campylobacter bacteria, salmonella bacteria, or both. From these data, would you conclude that the proportion of Tyson-brand chickens that test positive exceeds the proportion of Perdue-brand chickens that test positive.

Carry out a test of hypotheses using a significance level 0.01. (Use p1 for Brand A and p2 for Brand B.)

State the relevant hypotheses.

Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)

The length of the hypotenuse of a 45-45-90 triangle is √2x units.

To find the hypotenuse of a 45-45-90 triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse).

Let's denote the length of each leg of the triangle as "x". Since the triangle is isosceles, both legs are of equal length. Therefore, we can write:

Leg 1 = Leg 2 = x

To find the length of the hypotenuse (which we'll call "h"), we can use the Pythagorean theorem as follows:

x² + x² = h²

Simplifying this equation, we get:

2x² = h²

To solve for h, we need to take the square root of both sides of the equation:

√(2x²) = √(h²)

√2 * x = h

To know more about triangle here

https://brainly.com/question/8587906

#SPJ4

Triangle EFG was transformed to create triangle E'F'G' with identical side lengths and angle measures, and the second triangle is rotated to the right. the transformation is a c. rotation. Therefore, option c. rotation is correct.

Rotation is the change that took place. A figure is transformed by a rotation in which the centre of rotation is moved from one side to the other. Triangle EFG was in this instance rotated to the right, or around a point to the left of the triangle.

The two triangles are said to be congruent if their side lengths and angle measurements are the same. As a result, they are capable of being changed into one another by a series of translations, rotations, and reflections.

A transformation known as a translation involves moving a figure while maintaining its original size and shape. Stretching is a transformation that increases a figure's size while maintaining its shape. A transformation that flips a figure over a line is called a reflection.

for such more question on transformation

https://brainly.com/question/24323586

#SPJ11

Answer: c. rotation is correct.

Step-by-step explanation:

Answer:

-1.75

Step-by-step explanation:

This should be it, but you didn't provide options although you put "Which of the following.."

Answer:

-1.75 thatis the answer thank you HAHAHAHAHAHA

In the context of property variance, a variance refers to a legal authorization or exception granted to a property owner by the local governing authority. It allows the property owner to deviate from specific zoning regulations or land-use restrictions that would otherwise apply to their property.

The variance process is used when property owners believe that strict adherence to the existing regulations would cause undue hardship or prevent them from fully utilizing their property in a way that is reasonable and consistent with neighboring properties.

The purpose of property variances is to address unique circumstances or hardships that may exist for a particular property. Property variances typically involve submitting an application to the local zoning board or planning department, attending public hearings, and providing evidence or arguments to support the need for the variance.

The governing authority evaluates the application based on factors such as the impact on neighboring properties, public health and safety, and the intent of the zoning regulations. If approved, the property owner is granted permission to proceed with the proposed deviation from the regulations.

Overall, property variances provide flexibility in land-use regulations, allowing property owners to find reasonable solutions that meet their specific needs while still considering the broader community interests and objectives of zoning regulations.

To know more about property variance, refer here :

https://brainly.com/question/32469309#

#SPJ11

Answer: 25.6

Step-by-step explanation: Have an Amazing Day :)

Answer:

25.6 this will be the answer

Step-by-step explanation:

Hope it helps

A person living in a Midwestern city who drinks two liters of tap water containing 150 mg Ca/L would receive approximately 20% of their recommended daily requirement (RDA) of calcium.

The recommended daily requirement of calcium is 1000 mg, and the tap water in the Midwestern city contains approximately 150 mg of calcium per liter. If a person drinks two liters of water in one day, they would consume a total of 300 mg of calcium (150 mg/L * 2 L). To determine the percentage of their RDA, we can divide the amount of calcium obtained from the water (300 mg) by the recommended daily requirement (1000 mg) and multiply by 100.

Mathematically, it would be (300 mg / 1000 mg) * 100 = 0.3 * 100 = 30%. Therefore, a person living in the Midwestern city who drinks two liters of tap water would receive approximately 30% of their RDA of calcium. This means that drinking tap water alone would not fulfill their entire daily calcium requirement, and additional sources of calcium-rich foods or supplements may be necessary to meet their RDA.

Learn more about calcium here:

https://brainly.com/question/30841135

#SPJ11

Answer:

999

Step-by-step explanation:

8% of 11,325 is 906

53 plus 40 is 93

906 plus 93 is 999

Here is the complete question.

Members of the Alachua district choir were asked when given the choice between romanticism gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:

48 males preferred Romanticism

63 males preferred Gothic

59 females preferred Romanticism

62 females preferred Gothic

Part A: Fill in and complete the following contingency table. Circle the largest joint frequency and put a box around the smallest marginal frequency.

Romanticism Gothic Total

Males

Females

Total

Part B: Which style was preferred as the state competition piece and by what percentage?

Part C: Which subject was preferred the most by Males?

Part D: What frequency does 125/232 represent?

Answer:

The answer is below

Step-by-step explanation:

Part A:

Romanticism, Gothic, Total

Males 48, 63, 111

Females 59, 62, 121

Total 107, 125, 232

Part B: The preferred style is Gothic by a percentage of

P = 125 ÷ 232

Hence, we have P = 54%

Part C: Based on the table provided, the subject aspired the most by males was Gothic since 63 males chose it over 48 chose Romanticism.

Part D: The frequency 125/232 depicts the total of people that preferred Gothic over the total of people in both categories.

The height of a man with a z-score of 0 is 69 inches.

The average height of adult men = 69.0 inches, Standard deviation of adult men = 2.8 inches to find the Z-score the following formula is used:

z = (x- μ)/σ where z is the z-score, x is the value to be standardized, μ is mean and σ is the standard deviation.

To find the height of a man with a z-score of Standardized value(z) = 0

z = (x - μ)/σ

0 = (x - 69)/2.8

x = 69 + 0 (2.8)

x = 69 inches.

Therefore, the height of a man with a z-score of 0 is 69 inches.

To learn more about "Standard deviation": brainly.com/question/13498201

#SPJ11

The rules of differentiation can be applied to find the derivative of the given function, g(x) = 7x + 3. The derivative of a function is the slope of its tangent line at a given point. The derivative of a linear function is a constant. Therefore, the derivative of g(x) is simply the coefficient of x, which is 7.

We can also use the power rule of differentiation to verify this result. The power rule states that if f(x) = x^n, then f'(x) = nx^(n-1). In this case, g(x) = 7x + 3 can be written as g(x) = 7x^1 + 3. Using the power rule, we have:

g'(x) = d/dx (7x^1 + 3)
     = 7 * d/dx (x^1) + d/dx (3)  (using the sum rule of differentiation)
     = 7 * 1x^(1-1) + 0        (using the power rule of differentiation and the derivative of a constant is 0)
     = 7x^0
     = 7

Therefore, g'(x) = 7. The function g(x) has a constant slope of 7, which means that its graph is a straight line with a positive slope of 7.

To know more about Tangent  visit :

https://brainly.com/question/10053881

#SPJ11

Answer:

2520 cm²

Step-by-step explanation:

9 cm x 8 cm x 5 cm x 7cm = 2520 cm²

Answer:

\( \huge \colorbox{blue}{$107 cm^2$}\)

Step-by-step explanation:

there are two rectangles

rectangle-1:

\( \quad \: = 9 \times 8 \\ \quad \: = 72\)

rectangle-2:

\( \quad \: = 5 \times 7 \\ \quad \: = 35\)

area of the complex shape

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

To learn more on line segments: https://brainly.com/question/25727583

#SPJ1

Answer:

Step-by-step explanation:

Number of people:

Distance to walk:

Distance around the Earth

Total distance walked:

The ratio of total distance to the distance around the Earth:

Number of people:

6 million = \(6\) × \(10^{6}\)

Distance to walk:

2.5 miles every day per person

Distance around the Earth

\(2.5\) ×\(10^{4}\)

Total distance walked:

\(6\) × \(10^{6}\) × \(2.5\) \(= 15\) × \(10^{6}\)

The ratio of total distance to the distance around the Earth:

\(15\) × \(10^{6}\) / \(2.5\) × \(10^{4}\) = \(6\) × \(10^{2}\) = \(600\)

Answer:

30 eggs

Step-by-step explanation:

1 egg makes 3 pancakes so 30 eggs would make 90 pancakes becaue the ratio is 1:3.

To find your answer you could have done 90÷3

Answer:

D

Step-by-step explanation:

y = 4 is a horizontal line which would be parallel to the x axis

All the values are,

a)  lim x → 3 [ 2 f (x) - g (x)] = 18

b)  lim x → 3 [ 2 g (x) ]² = 16

c)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ] = - 1

We have to given that;

Limits are,

lim x → 3 f (x) = 8

lim x → 3 g (x) = - 2

lim x → 3 h (x) = 0

Now, We can simplify all the limits as;

1) lim x → 3 [ 2 f (x) - g (x)]

⇒  lim x → 3 [ 2 f (x)] -  lim x → 3 [ g (x) ]

⇒ 2  lim x → 3 [  f (x) ] - (- 2)

⇒ 2 × 8 + 2

⇒ 16 + 2

⇒ 18

2)  lim x → 3 [ 2 g (x) ]²

⇒ 4 [ lim x → 3  g (x) ]²

⇒ 4 × (- 2)²

⇒ 4 × 4

⇒ 16

3)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ]

⇒ ∛8 / (- 2) + 4 × 0 / (3 + 7)

⇒ - 2/2 + 0

⇒ - 1

To learn more about limit visit:

https://brainly.com/question/7446469

#SPJ1

Answer:

Step-by-step explanation:

AB = \(\sqrt{28^2-14^2}\) = \(\sqrt{588} = 14\sqrt{3}\)

Answer:

28

Step-by-step explanation:

lol

Answer:

Cada unidad integra los cinco bloques, según el ajuste curricular de Lengua y ... Escribo la letra de la palabra del recuadro, que corresponde al ... Completo el cuadro con las características antes señaladas. ... literarios con nuevas versiones de escenas, personajes u otros elementos. ... oración que presente al animal.

Step-by-step explanation:

===========================================

Explanation:

We need to find a value of k such that P(X > k) = 0.14

This is equivalent to P(X < k) = 0.86 since 1 - 0.14 = 0.86

Use the invNorm function on a TI84 calculator or similar to input invNorm(0.86,100,15). The result is approximately 116.205 which rounds to 116.2

If you do not have a TI84 or similar, then you can input invNorm(0.86,100,15) into WolframAlpha. It is a free online calculator that can do many tasks beyond a basic calculator. There are many other online calculators that are similar.

Answer:

Step-by-step explanation:

30: 1, 2, 3, 5, 6, 10, 15, 30

42: 1, 2, 3, 6, 7, 14, 21, 42

greatest number of fill using all of the food is 6

The original number of students scheduled to go on the field trip was 600.

Let the original number of buses be "x" and each bus having "y" students, we can use algebra to solve for the number of students on the field trip.

It is given that; x*y = 600, that is, the original number of students is 600. When the organizer increases the number of buses by 4, the number of buses will be (x + 4), and the number of students per bus decreases by 5. We can express this as y - 5.

Hence, the new number of students will be 600 since no new students were added. We can represent this using the equation (x + 4) * (y - 5) = 600.

Substituting x*y = 600, we get x*(y-5) = (x + 4) * (y - 5).

Expanding the equation above, we get; xy - 5x = xy - 5y + 20.

Rearranging, we have 5x - 5y = 20. Dividing both sides by 5, we get x - y = 4.

Substituting xy = 600, we get x * (x - 4) = 600. Solving this quadratic equation, we get x = 24 or x = - 25.

We discard the negative solution. Therefore, the original number of students scheduled to go on the field trip was

24 * 25 = 600 students.

Therefore, the conclusion is that the original number of students scheduled to go on the field trip was 600.

To know more about Substituting visit:

brainly.com/question/29383142

#SPJ11