audrianna gives a walking tour of a popular tourist city to one person for To increase her​ business, she would lower the price by​ $2 per person for each additional person. Write the cost per person c as a function of the number of people n on the tour. How much does she make for a tour with ​people?

The correct radical form of b^1/5 is 5^√b.

Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.

A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

Explanation:

Convert to radical form using the formula

a^x/n=n^√a^x

5^√b.

To learn more about radical form refer to:

https://brainly.com/question/27887772

#SPJ1

Answer:

The constant of proportionality is k=1/4

Step-by-step explanation:

For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.

The largest size of a team according to the task content is; 20 kids.

It follows from the task content that the population is; 20 students in Mrs. Tanya's class and 24 kids in Mrs. Olga's class.

However, since, the team forming condition states that students be placed on teams of equal size with students from only their own class.

It therefore follows that the largest size of a team is 20 as only 20 students are in Mrs. Tanya's class hence leaving 4 kids in Mrs. Olga's class without a team.

Read more on limiting factor;

https://brainly.com/question/16479356

#SPJ1

Answer: B (1/3)

Hope this helps

Answer:

\(y(x)=-\frac{6}{7}e^{-4x}+\frac{1}{7}e^{3x}\) (See attached graph)

Step-by-step explanation:

Given Second-Order Homogeneous Differential Equation

\(y''+7y'+12y=0,y(0)=-1,y'(0)=0\)

Use Auxiliary Equation

\(m^2+7m+12=0\\\\(m+4)(m+3)=0\\\\m=-4,\: m=3\)

General Solution for Distinct Real Roots

\(y(x)=C_1e^{m_1x}+C_2e^{m_2x}\\\\y(x)=C_1e^{-4x}+C_2e^{3x}\)

Take the derivative of y(x)

\(y'(x)=-4C_1e^{-4x}+3C_2e^{3x}\)

Create a system of equations given initial conditions

\(y(x)=C_1e^{-4x}+C_2e^{3x}\\\\y(0)=C_1e^{-4(0)}+C_2e^{3(0)}=-1\\\\C_1+C_2=-1\)

\(y'(x)=-4C_1e^{-4x}+3C_2e^{3x}\\\\y'(0)=-4C_1e^{-4(0)}+3C_2e^{3(0)}=0\\\\-4C_1+3C_2=0\)

Solve the system of equations

\(\left \{ {{C_1+C_2=-1} \atop {-4C_1+3C_2=0}} \right.\\\\\left \{ {{4C_1+4C_2=-1} \atop {-4C_1+3C_2=0}} \right.\\\\7C_2=-1\\\\C_2=-\frac{1}{7}\)

\(C_1+C_2=-1\\\\C_1-\frac{1}{7}=-1\\ \\C_1=-\frac{6}{7}\)

Final Solution

\(y(x)=C_1e^{-4x}+C_2e^{3x}\\\\y(x)=-\frac{6}{7}e^{-4x}+\frac{1}{7}e^{3x}\)

The base of the function given 2(4)ˣ+5 is 4ˣ

The base of an exponential function. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive. Base 1. If f(x) is an exponential function whose base equals 1 – that is if f(x)=1x.

Given is a function, 2(4)ˣ+5, we need to find the base of the function,

With the multiplication of 4ˣ with 2, the rate at which f(x) changes is 2 times larger. Now it is added by 5, by adding 5 the value of f(x) is always 5 greater than the value of f(x).

This reverses the value of y for each corresponding value of x and increases the rate at which f(x) changes 8 times that of the original function.

Hence, the base of the function given 2(4)ˣ+5 is 4ˣ

Learn more about base of a function, click;

https://brainly.com/question/2456547

#SPJ1

Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.

Step-by-step explanation:

Four less than the product of a number (x) and 5 = 5x - 4

8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10

Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10

                                                         5x - 3x = 10 + 4

                                                         2x = 14

                                                         x = 14/2

                 therefore,                      x = 7

To know more about Algebra,

https://brainly.com/question/28871326

Answer:

Step-by-step explanation:

amplitude of oscillation a = 12 / 2 = 6 inches.

time period T = 2 s

b = angular frequency = 2π / T

= 2π / 2

= π

so putting the values in the equation

d = a cos ( b t )

d = 6 cos ( π t )

Answer:

there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25

Step-by-step explanation:

The measure of variation include range, variance, iqr etc

In statistics, a measure of variation is a numerical value that describes how spread out or dispersed a set of data is. The most common measures of variation are:

Range: The range is the difference between the maximum and minimum values in a data set. It gives an idea of the spread of the data, but is sensitive to outliers.

Interquartile range (IQR): The IQR is the range of the middle 50% of the data. It is less sensitive to outliers than the range.

Variance: The variance is the average of the squared differences of each data point from the mean. It measures how much the data is spread out from the mean.

Standard deviation: The standard deviation is the square root of the variance. It is a common measure of variation and indicates the typical amount that each data point deviates from the mean.

Coefficient of variation: The coefficient of variation is the ratio of the standard deviation to the mean, expressed as a percentage. It is used to compare the variation of data sets with different means.

An overview was given due to incomplete information.

Learn more about variation on:

https://brainly.com/question/18919859

#SPJ1

The y-intercept of the composite function (f/g)(x) is 1/2

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

f(x) = x² - 7x + 10

g(x) = x² - x + 20

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

Substitute the known values in the above equation, so, we have the following representation

(f/g)(x) = (x² - 7x + 10)/(x² - x + 20)

Set x = 0 for the y-intercept

(f/g)(0) = (0² - 7(0) + 10)/(0² - 0 + 20)

Evaluate

(f/g)(0) = 1/2

Hence, the y-intercept of the composite function is 1/2

Read more about composite function at

https://brainly.com/question/10687170

#SPJ1

Answer:

Step-by-step explanation:

5 number summery

Minimum: 56

Maximum: 68

Median: 62

First quartile: 59

Third quartile: 63

Answer:

B'(4, 0)

Step-by-step explanation:

B (1, 5)

it translated right 3 units => x'=x+3

down 5 units => y'= y-5

To find the x-intercepts, equal the equation to 0 and solve for x:

-4.9 x^2 + 19.8x + 58

ax^2 + bx + c

a = -4.9

b= 19.8

c= 58

Apply the quadratic formula:

positive : -1.97

negative : 6.01

• 1- x intercepts

x = -1.97 , x = 6.01

• 2.y-intercept

To find it replace x = 0 and solve for y:

y = -4.9x^2 + 19.8x + 58

y= -4.9 (0)^2 + 19.8 (0) + 58

y= 58

• 3. Vertex

First, find the axis of symmetry:

x = -b / 2*a = -19.8 / 2*-4.9 = 2.02

Replace x=2.02 on the equation:

y = -4.9 (2.02)^2 + 19.8 (2.02) + 58

y = -19.99 + 39.996 + 58

y = 78

Vertex = (2.02 , 78 )

4.

Since on x-intercept is at x=-1.97, replace x=-3 and see if the y value is positive or negative:

f(-3) = -4.9(-3)^2 + 19.8 (-3) + 58

f(-3)= -44.1 -59.4 +58

f(-3)= -45.5

Since the value is negative it opens downwards, so the vertex is a maximum.

Answers:

1- the x-intercepts

x = -1.97 , x = 6.01



2- the y-intercept

y= 58



3- the vertex

Vertex = (2.02 , 78 )



4- is the vertex a maximum/minimum​

The vertex is a maximum

The first three terms of the arithmetic sequence are -97, -63, and -29.

The value of x = -14.

To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:

The common difference (d) is the same between all consecutive terms.

So, we have:

(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)

Simplifying the equation:

5x + 7 - 7x - 1 = 2x - 1 - 5x - 7

-2x + 6 = -3x - 8

Now, let's solve for X:

-2x + 3x = -8 - 6

x = -14

Substituting the value of X back into the expressions, we can find the first three terms:

First term: 7x + 1 = 7(-14) + 1 = -97

Second term: 5x + 7 = 5(-14) + 7 = -63

Third term: 2x - 1 = 2(-14) - 1 = -29

Learn more about Arithmetic Sequence on:

https://brainly.com/question/6561461

#SPJ1

Answer:

Explanation;

Associated line with this equation is:

y=mx+c

when,

X=0

y=-4

so, c=-4

X=1

y=-1

\( - 1 = m- 4 \\ - m = - 4 + 1 \\ - m = - 3 \\ m =3 \\ \)

\(y = 3x - 4 \\ or \: y + 4 = 3x \\ or \: \frac{y + 4}{3} = x\)

Inequality representated by graph:

\(x \geqslant \frac{y + 4}{3} \)

Hope this helps...

Good luck on your assignment...

Answer:

the answer is D, -8< X <2

Answer:

m∠R = 60°

explanation:

Let the angle be x,

x + x + 60° = 180°

2x = 180° - 60°

2x = 120°

x = 60°

Answer:

Step-by-step explanation:

Sum of interior angles in a triangle = 180degree

PQ=QR so triangle PQR is an isosceles triangle

The two base angles of an isosceles triangle are equal

So <R = <P

m<R + m<P + 60degree = 180degree

m<R = (180-60)/2 = 60degree

The solution to the initial value problem in this problem is given as follows:

\(y = 0.0022e^{5x} - 0.8853e^{-x}\)

The initial value problem is given as follows:

y''-4y'-5y = 0.

The first step is finding the roots of the characteristic equation, which is given as follows:

r² - 4r - 5.

The equation can be factored as follows:

r² - 4r - 5 = (r - 5)(r + 1).

Applying the inverse Factor Theorem, the roots are given as follows:

These roots are real, hence the format of the solution is given as follows:

\(y = Ae^{5x} + Be^{-x}\)

Considering the initial condition at x = 1, we have that:

Ae^(5) + Be^(-1) = 0

Considering the initial condition of the derivative at x = 1, we have that:

5Ae^(5) - Be^(-1) = 2.

Adding the two equations, the condition A is obtained as follows:

6Ae^(5) = 2.

A = 2/(6e^5)

A = 0.0022.

Hence the condition B is:

B = -0.0022e^(5)/e^(-1)

B = -0.8853.

Hence the solution is:

\(y = 0.0022e^{5x} - 0.8853e^{-x}\)

More can be learned about initial value problems at https://brainly.com/question/18760518

#SPJ1

Answer:

  12

Step-by-step explanation:

Given a table of supply and demand at each price point, you are asked for the equilibrium price if the demand numbers are decreased by 0.5 million.

The equilibrium price is the price at which the quantity demanded is equal to the quantity supplied.

For the given table, we see that a price of $14 thousands will result in both demand and supply being 2.00 millions per year. That is the equilibrium price before any adjustment to the table is made.

The problem statement is telling you to use a table that has all of the demand values decreased by 0.5 million. That makes the demand column read ...

  2.25, 2.00, 1.75, 1.50, 1.25, 1.00, 0.75

This new column of reduced demand values matches the numbers in the supply column when they are both 1.75 million per year. That match occurs on the line with price $12 thousand.

The new equilibrium price is $12 thousand.

Answer:

4/11

Step-by-step explanation:

a ratio is a fraction:

a:b or a to b

= a/b

so 12:33

= 12/33, which can be reduced to 4/11 when dividing the numerator and denominator by 3

Answer:

  18 cubic inches

Step-by-step explanation:

The formulas for the volumes of a cone and a cylinder can be used to answer this question.

The volume of a cone is given by ...

  V = 1/3πr²h . . . . . volume of cone with radius r and height h

The volume of a cylinder is given by ...

  V = πr²h . . . . . volume of a cylinder with radius r and height h

Comparing the formulas, we see that the volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

  (cone volume) = 1/3(cylinder volume)

Multiplying this equation by 3 gives ...

  3×(cone volume) = (cylinder volume)

Using the given value for cone volume, we have ...

  cylinder volume = 3×(6 in³) = 18 in³

The volume of the cylinder is 18 cubic inches.

The possible values of x are 51% < x < 59%.

When you are given various values, the range of those values is how big the difference is between the largest value and the smallest value. In other words, the range is what you get when you subtract the smallest value in the group from the largest value in the group.

Its possible values are 1, 2, 3, 4, 5, and 6; each of these possible values has a probability of 1/6. 4. The word “random” in the term “random variable” does not necessarily imply that the outcome is completely random in the sense that all values are equally likely.

Let K represent Kofi

1st paper = 45/100

2nd paper = x / 100

Mean score = ( 45 + x ) % / 2

The possible range of x = 48% < (45+X)/2 < 52%

Cross multiplying

96% < 45 + x < 104%

Subtract 45 from both sides

Range = 51% < x < 59%

Learn more about probability here https://brainly.com/question/24756209

#SPJ9

Answer:

2/3/10

Step-by-step explanation:

the number is such that its factors do not repeat and factors are all prime numbers less than 12.

Answer:

There are no solutions.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x/5+2/3+1x/5=x

4/5x+2/3+1/5x=x

(4/5x+1/5x)+(2/3)=x(Combine Like Terms)

x+23=x

x+23=x

Step 2: Subtract x from both sides.

x+2/3−x=x−x

2/3=0

Step 3: Subtract 2/3 from both sides.

2/3−2/3=0−2/3

0=−2/3

Answer:

There are no solutions.

Answer:

1/3

Step-by-step explanation:

We have (x₁, y₁) = (-2.5, 0.5) and (x₂, y₂) = (2, 2). The formula for slope is

(y₂ - y₁) / (x₂ - x₁). When we plug these values in we get (2 - 0.5) / (2 - (-2.5)) =

1.5 / 4.5 = 1 / 3. Hope this helps!

Answer:

.10x100=$10

Am smort :D

Answer:

7/20

Step-by-step explanation: