Which is the right answer?

The percentage increase in the sales of hybrid cars from 2005 to 2012 is 10%.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency.

Percentage increase = (number of cars sold in 2012 / number of cars sold in2005)^(1/n) - 1

(432,798/ 205,828)^(1/8) - 1 = 10%

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer:

please mark my answer brainliest

Step-by-step explanation:

can you tell me a subscript n =sin to the power theta +cosec to the power n theta...and a subscript 1 =2...then prove that a subscript n =2...

We have shown that SET-SPLITTING is both in NP and NP-hard, which implies that it is NP-complete.

To prove that SET-SPLITTING is NP-complete, we need to show two things:

SET-SPLITTING is in the class NP (nondeterministic polynomial time).

SET-SPLITTING is NP-hard, meaning that every problem in the class NP can be reduced to SET-SPLITTING in polynomial time.

SET-SPLITTING is in the class NP:

To show that SET-SPLITTING is in NP, we need to demonstrate that given a potential solution (certificate), we can verify it in polynomial time. In the case of SET-SPLITTING, the potential solution is a partition of the set S into two sets A and B, satisfying the conditions that each subset Ci, 1 ≤ i ≤ m, has a nontrivial intersection with both A and B.

We can verify this solution by checking each subset Ci in polynomial time. For each subset Ci, we can determine if it has a nontrivial intersection with both A and B by comparing the elements of Ci with the elements of A and B. If there exists an element in Ci that belongs to both A and B, then the partition satisfies the conditions. This verification process can be done in polynomial time, making SET-SPLITTING in NP.

SET-SPLITTING is NP-hard:

To prove that SET-SPLITTING is NP-hard, we can reduce a known NP-complete problem, such as 3SAT, to SET-SPLITTING. This reduction shows that if we can solve SET-SPLITTING in polynomial time, we can also solve 3SAT in polynomial time.

The reduction works as follows:

Given an instance of 3SAT, which consists of a boolean formula in conjunctive normal form with three literals per clause, we can construct an instance of SET-SPLITTING as follows:

For each variable in 3SAT, create two sets in SET-SPLITTING, corresponding to the positive and negative occurrences of the variable. For example, if we have variable x, we create two sets: Ax and Bx.

For each clause in 3SAT, create a subset in SET-SPLITTING that contains literals corresponding to the variables in the clause. If a literal is negated in the clause, it belongs to the set with the corresponding negative occurrence, otherwise, it belongs to the set with the corresponding positive occurrence.

Now, we need to show that the reduction preserves the properties of the problems:

If the 3SAT instance is satisfiable, we can construct a valid partition in SET-SPLITTING by assigning true or false values to the variables and including the corresponding sets in the partition.

If there exists a valid partition in SET-SPLITTING, we can construct a satisfying assignment for the 3SAT instance by assigning true or false values to the variables based on the sets in the partition.

Therefore, we have shown that SET-SPLITTING is both in NP and NP-hard, which implies that it is NP-complete.

for such more question on polynomial

https://brainly.com/question/7297047

#SPJ8

The constant of proportionality in cups of water to minute is 80 cups/min

Here we have the proportional relation:

y = k*x

Where y is the number of cups and x the time in seconds, then:

y/x = k

Replacing the values we know:

y = 8 cups.

x = 6 seconds.

We can get the value of k, the constant of proportionality, but first, let's write the time in minutes.

x = 6 seconds

remember that 1 min = 60 sec, then:

6 sec = (6/60) min = 0.1 min

So the constant of proportionality is:

k = 8cups/0.1 min = 80 cups/min

Learn more about proportional relations:

https://brainly.com/question/12242745

#SPJ1

The value of "n" is 6.

"n" is related to a circle with intersecting chords labeled 5, n+4, 7, and n+8 [1]. To find the value of "n", we can use the property that states that if two chords intersect inside a circle, the products of their segments are equal. Using this property, we can set up the following equation:

7(n+4) = 5(n+8)

Expanding the brackets, we get:

7n + 28 = 5n + 40

Simplifying, we get:

2n = 12

n=6

A circle is a two-dimensional geometric shape that is defined as a set of all points in a plane that are at a fixed distance (called the radius) from a given point (called the center). It is a closed shape, meaning that it has no beginning or end, and its boundary is a continuous curve.

Find out more about circle

brainly.com/question/9163480

#SPJ4

Answer:

f(3)=25

Step-by-step explanation:

f(3)=11(3)-8

f(3)=33-8

f(3)=25

Answer:

f(3)=25

Step-by-step explanation:

substitute 3 into the equation for x.

f(3)=11(3)-8

11×3=33 so,

33-8=25

f(3)=25

Answer:

True.

Step-by-step explanation:

Remember that the horizontal line test checks if a function is one-to-one. If a horizontal line passes through a graph more than once, the function has more than one x-value for at least one y-value.

The equation of the linear relationship that represents the table given is: y = 6x + 4.

The linear relationship between x and y can be represented as an equation which can be expressed in slope-intercept form as:

y = mx + b [m is the slope and b is the y-intercept]

The y-intercept of the equation is the value of y, when x = 0, which is b = 4.

Using any two points, (0, 4) and (2, 16), we have:

Slope (m) = change in y / change in x = 16 - 4 / 2 - 0

Slope (m) = 12/2 = 6

Substitute m = 6 and b = 4 into y = mx + b:

y = 6x + 4.

Learn more about the equation of a linear relationship on:

https://brainly.com/question/28847058

#SPJ1

The amount that his aunt earns more than him in a week is $24. and

the amount that his aunt earns per week is $196.

According to the statement

we have find that the How much more does the man's aunt earn than him per week.

So, For this purpose, we know that,

According to the information:

The amount A man earns $172 per week, while his aunt earns $784 per month.

His aunt earns per week = $784 /4

His aunt earns per week = $196.

And the man earns $172 per week and the His aunt earns per week is $196.

The amount that his aunt earns more than him in a week = 196-172

The amount that his aunt earns more than him in a week = 24.

So, The amount that his aunt earns more than him in a week is $24. and

The amount that his aunt earns per week is $196.

Learn more about amount here

https://brainly.com/question/24703884

#SPJ9

In situation a, the predictor variable is age, as it is being tested to see if it affects the outcome variable, which is the number of risky behaviors. So, age is the independent variable and the number of risky behaviors is the dependent variable.

In situation b, the predictor variable is the number of family members, as it is being tested to see if it affects the outcome variable, which is the level of education of children. So, the number of family members is the independent variable and the level of education of children is the dependent variable.

It is important to identify the predictor variable and the outcome variable in any study as this helps in understanding the relationship between the two variables and in interpreting the results accurately.

For situation A, the predictor variable is "age," and the outcome variable is "number of risky behaviors." As age increases, the study aims to see if the number of risky behaviors changes.

For situation B, the predictor variable is "number of family members," and the outcome variable is "level of education of children." The study examines whether the children's level of education changes based on the number of family members.

Learn more about independent variable at: brainly.com/question/1479694

#SPJ11

Answer:

Work shown below!

Step-by-step explanation:

h(x) = -50x + 450

This is a linear function because it is the form y = mx + b

Graph 2 and scenario A and Table 3

g(x) = 4^x

It is a growth in the graph because the slope is positive

Graph 1 and scenario C and Table 1

f(x) = -16x^2 + 1900

It is a decay in the graph because the slope is negative

Graph 3 and scenario B and Table 2

9514 1404 393

Answer:

  a) graph 2, table 3

  b) graph 3, table 2

  c) graph 1, table 1

Step-by-step explanation:

a) "At a constant rate" means any graph and table will be a linear function. Only graph 2 is a straight line (linear). Only table 3 matches graph 2.

__

b) As the wrench drops, its height will be decreasing. Only graph 3 is a decreasing function (of the two remaining). Only table 2 matches graph 3.

__

c) Table 1 and graph 1 are the only remaining choices. Happily, they match each other and the scenario.

_____

Additional comment

You can match the tables to the graphs simply by looking at the y-value for x=0.

Answer:

What is the importance of polynomial functions?

Polynomials are an important part of the "language" of mathematics and algebra. They are used in nearly every field of mathematics to express numbers as a result of mathematical operations. Polynomials are also "building blocks" in other types of mathematical expressions, such as rational expressions.

How these real-life applications improve or contribute to the value of life?

Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. Combinations of polynomial functions are sometimes used in economics to do cost analyses, for example. Engineers use polynomials to graph the curves of roller coasters and bridges.

Answer:

60-x

Step-by-step explanation:

a number = x

Percentage change = 10%

We can use the formula:

Percent change = \(\frac{New-Old}{Old}\) x 100

Percent change = \(\frac{77-70}{70}\)x100

Percent change = \(\frac{7}{70}\) x 100

Percent change = 0.1 x 100

Percent change = 10%

Answer: 53.9

Step-by-step explanation:

The volume needed to store 5 moles of helium gas at 350K under a pressure of 190 kPA is approximately 218.79 liters.

To find the volume needed to store 5 moles of helium gas at 350K under a pressure of 190 kPA, we can rearrange the Ideal Gas Law equation as follows:

V = (n * R * T) / P

n = 5 moles

R = 8.314 (universal gas constant)

T = 350 K

P = 190 kPA

Plugging in these values into the equation, we have:

V = (5 * 8.314 * 350) / 190

Calculating the expression:

V = (14549.5 / 190)

V ≈ 76.58 L (rounded to two decimal places)

To know more about volume refer to-

https://brainly.com/question/33501668

#SPJ11

Answer:

Hey there!

6(7-4n)

42-24n

-24n+42

Hope this helps :)

Answer:

42-24n

Step-by-step explanation:

(7-4n)6

42-24n

-24n+42

Hope this helps ;) ❤❤❤

The sides of the triangle in order from largest to smallest are:

1. NAM (longest side)  2. NMA (second longest side)

To determine the sides of the triangle from largest to smallest using the given figure, we can analyze the lengths of the sides visually. Looking at the figure, we can observe that side NAM is the longest side of the triangle, followed by side NMA.  

Since the question asks for the shortest side, it is not explicitly shown in the given figure. However, based on the information provided, we can infer that the shortest side of the triangle is the remaining side, which is not explicitly labeled. Let's denote it as "NA."

Hence, the sides of the triangle, listed from largest to smallest, are NAM, NMA, and NA (shortest side). It's important to note that the given information is limited, and if further details or measurements are provided, the order of the sides may be subject to change.

for more search question triangle

https://brainly.com/question/28600396

#SPJ8

Translation involves changing the position of a shape or line or point.

The value of k is -3

The given parameter is:

\(\mathbf{g(x) = f(x) + k}\)

From the attached graph, we can see that the line of f(x) is shifted down by 3 units to form g(x).

This means that:

\(\mathbf{g(x) = f(x) - 3}\)

By comparing: \(\mathbf{g(x) = f(x) - 3}\) and \(\mathbf{g(x) = f(x) + k}\)

We have:

\(\mathbf{k = -3}\)

Hence, the value of k is -3

Read more about translations at:

https://brainly.com/question/12463306

Answer:

A. 85

Step-by-step explanation:

They are congruent angles, or the same.

Therefore, the answer is 85

To create a sign chart for the polynomial function F(x) = -(x+5)(x-2)(2x-4)(x-4)², we will examine the intervals defined by the critical points and the zeros of the function.

1. Determine the critical points  -

  - The critical points occur where the factors of the polynomial change sign.

  - The critical points are x = -5, x = 2, x = 4, and x = 4 (repeated).

2. Select test points within each interval  -

  - To evaluate the sign of the polynomial at each interval, we choose test points.

  - Common choices for test points include values less than the smallest critical point, between critical points, and greater than the largest critical point.

  - Let's choose test points  -  x = -6, x = 0, x = 3, and x = 5.

3. Evaluate the sign of the polynomial at each test point

  - Plug in the test points into the polynomial and determine the sign of the expression.

The sign chart for F(x) = -(x+5)(x-2)(2x-4)(x-4)² would look like this

Intervals              Test Point         Sign

-∞ to -5                  -6                    -

-5 to 2                   0                       +

2 to 4                    3                      -

4 to ∞                    5                      +

Note  - The signs in the "Sign" column indicate whether the polynomial is positive (+) or negative (-) in each interval. See the attached sign chart.

Learn more about sign chart at:

https://brainly.com/question/29202059

#SPJ1

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

For more question on profit visit:

https://brainly.com/question/30495119

#SPJ8

The fifth-degree Taylor polynomial for g(x) about x=0. is\(g(x) = 1 + x - x^{3}/3! + x^{5}/5! - x^{7}/7! + x^9/9!\)

We are given the function f(x) and the function g(x) defined by:

g(x) = 1 + ∫[0, x] f(t) dt

We need to find the first three nonzero terms and the general term of the Taylor series for cos(x) about x=0, and then use this series to write the first three nonzero terms and the general term of the Taylor series for g(x) about x=0. Finally, we will use the Taylor series for g(x) to determine whether f(x) has a relative minimum, maximum, or neither at x=0.

The Taylor series for cos(x) about x=0 is given by:

\(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

The first three nonzero terms are:

\(cos(x) = 1 - x^2/2! + x^4/4!\)

The general term of the series is:

\((-1)^n x^{(2n)} / (2n)!\)

Now, we can use this series to write the Taylor series for g(x) about x=0. We have:

g(x) = 1 + ∫[0, x] f(t) dt

Taking the derivative of g(x), we get:

g'(x) = f(x)

Taking the derivative of g'(x), we get:

g''(x) = f'(x)

And so on, we can take the nth derivative of g(x) to get:

\(g^{(n)(x)} = f^{(n)(x)\)

Using the Taylor series for cos(x), we can  write:

g(x) = 1 + ∫[0, x] f(t) dt

\(= 1 + x - x^3/3! + x^5/5! - x^7/7! + .\)..

= cos(x) + ∫[0, x] (f(t) - cos(t)) dt

The first three nonzero terms are:

\(g(x) = 1 + x - x^3/3!\)

The general term of the series is:

(-1)^n ∫[0, x] (f(t) - cos(t)) dt * x^(2n) / (2n)!

To determine whether f(x) has a relative minimum, maximum, or neither at x=0, we need to look at the sign of the second derivative of g(x) at x=0. We have:

g''(x) = f''(x)

Therefore, g''(0) = f''(0). Since we don't have any information about the sign of f''(0), we cannot determine whether f(x) has a relative minimum, maximum, or neither at x=0.

Finally, to write the fifth-degree Taylor polynomial for g(x) about x=0, we need to include the first five nonzero terms of the series:

\(g(x) =1 + x - x^3/3! + x^5/5! - x^7/7! + x^9/9!\)

This is the fifth-degree Taylor polynomial for g(x) about x=0.

For more question on polynomial visit:

https://brainly.com/question/2833285

#SPJ11

Answer:

9 sqrt(2) /2 = PQ

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hypotenuse

sin 45 = PQ = 9

9 sin 45 = PQ

9 sqrt(2) /2 = PQ

Answer:

7.7 cm

Step-by-step explanation:

You need to use trig ratios

this one needs the sin as we been to find the opposite side with the hypontenuse

9 x sin(45) = PQ = 7.65813172081

PQ = 7.7

Answer:

2

Step-by-step explanation:

The formula for the density of the cone is rho(x, y, z) = 10 - ((10 - 8)/4) * z.  The total mass of the cone can be calculated by integrating the density function over the region defined by the cone.

(a) The density of the cone varies linearly with the distance from the xy-plane. Given that the density at the bottom point is 10 g/cm^3 and the density at the top layer is 8 g/cm^3, we can express the density as a function of z using the equation of a straight line. The formula for the density of the cone is rho(x, y, z) = 10 - ((10 - 8)/4) * z.

(b) To calculate the total mass of the cone, we need to integrate the density function rho(x, y, z) over the region defined by the cone. Since the region is not explicitly defined, the integration will depend on the coordinate system being used. Without the specific region, it is not possible to provide a numerical value for the total mass.

(c) The average density of the cone is not 9 g/cm^3 because the density is not uniformly distributed throughout the cone. It varies linearly with the distance from the xy-plane, becoming denser as we move towards the bottom of the cone. Therefore, the average density will be less than the density at the bottom and greater than the density at the top. The actual average density can be calculated by integrating the density function over the region and dividing by the volume of the region.

To know more about integration click here: brainly.com/question/31744185

#SPJ11

its 10/7

or

1.42857 ect.

Answer:

the answer for this problem should be half of 3.1 sense 2.5 is half of 5 so split 3.1 in have to get 1.55. hope this helps.

The number of miles that is equal to 2.5 km will be 1.55 miles.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

Christof walks 2.5 kilometers to the library. He knows that 5 kilometers are approximately 3.1 miles.

Then we have

Let x be the number of miles that is equal to 2.5 km. Then we get

x/2.5 = 3.1/5

      x = 1.55 miles

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2