6. the demand for a product is = () = √300 − where x is the price in dollars. a. (6 pts) find the elasticity of demand, e(x).

Answers

Answer 1

The elasticity of demand is e(x) = x/(2(300 - x)).

To find the elasticity of demand, we need to first find the derivative of the demand function with respect to price:

f(x) = √(300 - x)

f'(x) = -1/2(300 - x)^(-1/2)

Then, we can use the formula for elasticity of demand:

e(x) = (-x/f(x)) * f'(x)

e(x) = (-x/√(300 - x)) * (-1/2(300 - x)^(-1/2))

Simplifying this expression, we get:

e(x) = x/(2(300 - x))

Therefore, the elasticity of demand is e(x) = x/(2(300 - x)).

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Related Questions

What’s the answer to this math question?

Answers

Answer:

Step-by-step explanation:

So we know what a gradient is = y=mx+c So you have to make a triangle with the 2 numbers touching a line and make a triangle the conects to both of them. and then you will get the answer

h(x)= 1/8 x^3 − x^2

Over which interval does h have a positive average rate of change?

Answers

A positive average rate of change over any interval [a,b] such that b > a + (1/8a^3 - a^2)/(1/8a^3 - a^2).

What is average rate?

Average rate is a term used to describe the mean value of a set of data points or the mean rate of change of a function. It is calculated by adding all the values in a set and then dividing the sum by the total number of values.

The average rate of change of a function over an interval [a,b] is given by the formula (f(b) - f(a))/(b - a). Therefore, for h to have a positive average rate of change over an interval, we must have f(b) - f(a) > 0.
Substituting h(x) into this formula, we get (1/8b^3 - b^2 - 1/8a^3 + a^2) / (b - a) > 0.
Solving for b, we get b > a + (1/8a^3 - a^2)/(1/8a^3 - a^2).
Therefore, h has a positive average rate of change over any interval [a,b] such that b > a + (1/8a^3 - a^2)/(1/8a^3 - a^2).

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Elliot added the two equations and the result was 2x = 38. Solve the equation. How many of each type of book does elliot have? fiction books nonfiction books.

Answers

For each type of book, Elliott has 19 fiction books and 7 nonfiction books.

To solve for the number of fiction books (x), we can use the first equation of the system: x + y = 26. We know that the number of nonfiction books (y) can be represented by x - 12 (from the second equation of the system: x - y = 12).

So we can substitute x - 12 for y in the first equation:

x + (x - 12) = 26

Combining like terms:

2x - 12 = 26

Adding 12 to both sides:

2x = 38

Dividing both sides by 2:

x = 19

Therefore, Elliot has 19 fiction books.

To solve for the number of nonfiction books (y), we can use the first equation of the system: x + y = 26 and input the value of x:

x + y = 26y = 26 - xy = 26 -19y = 7

Therefore, Elliot has 7 nonfiction books.

This question is incomplete and should be written as:

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books.

This system of equations models the number of books.

x + y = 26x – y = 12

Elliot added the two equations and the result was 2x = 38. How many fiction and nonfiction books does Elliot have?

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Find the value of the remainder. Enter the value of the remainder (only the number, you do not need to place it over the divisor)

Answers

Using synthetic division, the value of the remainder comes out to be -9.

What is synthetic division?

When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials. The ability to compute without writing variables when doing polynomial division with the synthetic division makes it an easier technique than the classic lengthy method, which is one of its advantages over the latter.

Two polynomials can be divided using the formula:

p(x)/q(x) = Q(x) + R/(q(x))

where,

The dividend is p(x).

The linear divisor is q(x).

The quotient is Q(x).

The remainder is R

Given expression is [tex]4x^{4} -3x^{3} +6x-10[/tex]

We have to divide this expression by (x + 1) by using synthetic division.

Expression given above can be written as,

4x⁴ - 3x³ + 6x - 10 = 4x⁴ - 3.x³ - 0.x² + 6x - 10

Now on dividing by x = -1 by synthetic division method, we get

-1 |  4     -3     0      6     -10

      -    -4      7     -7       1    

     4    -7      7     -1      -9    

Remainder of the synthetic division will be -9.

Hence, we rewrite the given expression as, [tex]4x^{3} -7x^{2} +7x+1 -\frac{9}{x-9}[/tex]

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A rectangular solid (with a square base) has a surface area of 181. 5 square centimeters. Find the dimensions that will result in a solid with maximum volume.

Answers

The maximum volume is 63.75 cubic cm. The rectangular is kind of shape that has lenght and width.

To find the dimensions of the rectangular solid that will result in a maximum volume, we can use the formula for the surface area of a rectangular solid, which is:

Surface Area = 2lw + 2lh + 2wh

where l is the length, w is the width (which is the same as the base of the square), and h is the height.

We can set up an equation using this formula, with the given surface area:

181.5 = 2lw + 2lh + 2wh

To find the maximum volume, we can take the derivative of the volume equation and set it equal to 0, then solve for the value of the variable.

The volume of the rectangular solid is V = lwh

The derivative of V with respect to l is : dV/dl = wh

The derivative of V with respect to w is : dV/dw = lh

The derivative of V with respect to h is : dV/dh = lw

Therefore, the maximum volume occurs when dV/dl = 0, dV/dw = 0 and dV/dh = 0

Since the base of the rectangular solid is a square, we know that l = w

If we substitute this value into the equation for the surface area, we get:

181.5 = 2l^2 + 2lh

Solving for h in terms of l, we get:

h = (181.5 - 2l^2) / (2l)

We can now differentiate this equation with respect to l, and set it equal to 0, then solve for l:

[tex]\frac{dV}{dl} = (2lh + l^2h - 2l^3) / l = 0\\2l(181.5 - 2l^2) + l^3 = 0\\2l(181.5 - 2l^2) = -l^3\\2(181.5 - 2l^2) = -l^2\\363 - 4l^2 = -l^2\\l^2 = 181.5 / 2\\l = \sqrt{\frac{181.5}{2} } \\I = \sqrt{90.75} \\I = 3.5[/tex]

So the dimensions that will result in a maximum volume are:

length (l) = 3.5 cm

width (w) = 3.5 cm

height (h) = (181.5 - 23.53.5) / (2*3.5) = 5 cm

The maximum volume is V = lwh = 3.53.55 = 63.75 cubic cm

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The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them. The force is 0.65 Newtons when the distance between the objects is 4 metres. Work out F (rounded to 2 DP) when d = 7 metres.

Answers

Applying the relation between the force and the distance between the two objects , the force between the objects when the distance between the objects is 7 meters is 0.21 N.

What is force?

Force is a physical quantity that describes the interaction between two objects. It is the push or pull exerted on an object that changes or tends to change its motion. Force is measured in units of Newtons (N) and it can be a vector quantity, meaning that it has both magnitude and direction.

What is the unit of measurement for force and why is it important in physics?

The unit of measurement for force is the Newton (N). It is important in physics because it is one of the fundamental quantities used to describe the motion and interactions of objects. Forces are responsible for changes in an object's motion, such as acceleration or deceleration, and they play a key role in many physical phenomena, including gravity, friction, and tension.

As given in the question , the force is 0.65 Newtons when the distance between the objects is 4 meters.

Let the force when the distance is 7 meters be F2.

So using the relation between the force and the distance , i.e Force is inversely proportional to the square of distance between the objects.

[tex]\frac{F2}{0.65} =\frac{4^{2} }{7^{2} }[/tex]

Therefore, F2 = 0.21 Newtons

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pls help me with thiss bru,h

Answers

Can’t see the picture
d. 5/8

if you count the amount of lines or empty spaces between 0 and 1, you get 8. the red dot falls on the 5th line. therefore 5/8

What is the exponential of 7?

Answers

Answer:

1096.63316

Step-by-step explanation:

Determine the simple interest on an account paying 5.5% annually interest of an investment of $20,650. a. $1115.65 c. $1135.75 b. $1125.55 d. $1145.45

Answers

C. $1135.75. 20,650 x 5.5% = 1135.75. Hope this helps!

Can a domain be all numbers?

Answers

Yes, a domain can be all numbers. This type of domain is called a numerical domain.

A numerical domain is a set of numbers that is used to define a function. It is usually represented by the formula D= {x: x is a real number}. This formula can be used to calculate the domain of a given function by determining which values of x, or the independent variable, produce a valid output. Numerical domains are becoming increasingly popular as they are easier to remember than domains composed of letters and hyphens. They can also be used to represent a business’s contact information, such as a phone number or street address. When registering a numerical domain, it is important to ensure that it is not already taken, as numerical domains are becoming increasingly sought after. For example, if a function is defined as f(x) = x2 + 3, then the domain would be all real numbers, since any real number would produce a valid output.

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What is 20% of 141 thx a lot

Answers

Answer:

28.2 percent

Step-by-step explanation:

multiply 1/5 by 141

28.2
Because
141x0.2= 28.2

Good luck hope this helps

:))

Calculate the age of a fossil. If 32% of the initial amount of Carbon 14 in a sample remains, how much time has elapsed?

Answers

The age of a fossil can be determined using Carbon 14 dating. Carbon 14 dating is a method of determining the age of an object that is based on the decay of the isotope carbon-14. Carbon-14 has a half-life of approximately 5,730 years, which means that half of the initial amount of carbon-14 in a sample will decay in 5,730 years.

What is carbon dating in simple words?

Simply said, carbon dating is the process of using the presence of carbon 14 to estimate the age of ancient material (such as an archaeological or paleontological specimen).

If 32% of the initial amount of Carbon 14 in a sample remains, we can use the formula:

Age = t = (t1/2) * ln(2) / ln(A0/A)

Where t1/2 is the half-life of carbon-14 (5730 years), A0 is the initial amount of carbon-14 (100%), and A is the remaining amount of carbon-14 (32%).

Age = (5730) * ln(2) / ln(100/32)

Age = (5730) * 0.693 / (-1.51)

Age = 8129 years

So, approximately 8129 years have elapsed since the fossil was formed.

Note that this is an estimate and this method of dating can only be used for fossils that are less than about 60,000 years old. Also, this method assumes that the initial amount of carbon-14 in the sample is known, which can be affected by the environment and other factors that can affect the accuracy of the dating.

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Determine whether the equation is an identity or not an identity.
tan²0 cos² 0 = 1/csc^2 0

a. identity
b. not an identity

Please select the best answer from the choices provided

Answers

Refer to the attached photo.

How many functions are there from a set with 4 elements to a set with 3 elements?

Answers

The total number of functions from a set with 4 elements to a set with 3 elements is 333 × 3 = 64.

There are a total of 4³ = 64 functions from a set with 4 elements to a set with 3 elements.

A function from a set A to a set B is a rule or a correspondence that assigns to each element of A exactly one element of B. Set A is called the domain of the function and set B is called the co-domain.

Since there are 4 elements in the domain and 3 elements in the co-domain, each element in the domain can be mapped to any of the 3 elements in the co-domain.

So for the first element in the domain, there are 3 options to map it to in the co-domain. Similarly, for the second element, there are 3 options, and so on.

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Write 5/x+1 + 2/3x as a single fraction

Answers

Writing 5/x + 1 + 2/3x as a single fraction will result to (17 + 3x)/3x

How to write the expression as a singe fraction

The expression is written with parameters having unlike terns. The terms consist of the constant term and the variable parameters.

The constant terms are 1

terms with variables are 5/x and 2/3x

adding like terms gives

= 5/x + 2/3x

the LCM of x and 3x is 3x and this will be the common denominator

= (15 + 2) / 3x

= 17/3x

adding both together

= 17/3x + 1

the LCM of 1 and 3x is 3x and this will be the common denominator

= (17 + 3x) / 3x

The single fraction is (17 + 3x) / 3x

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What is the distance from center formula?

Answers

From the centre formula the distance is between two points in a plane.

A mathematical calculation known as the distance formula is used to calculate the separation between two points on a plane. The Pythagorean theorem, which asserts that the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the legs, is the source of the distance formula which is the side opposite the right angle.

The distance formula is frequently shown as: d = √((x2 - x1)² + (y2 - y1)²). The first point's coordinates are x1 and y1, the second point's coordinates are x2 and y2, and d is the distance between the two points. It's crucial to keep in mind that this method only works when the two points are in a 2D plane.

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If a driver has travelled 180 miles and it took them 3 hours
to make that distance, how fast did they drive? (include the formula)

Answers

180 mi/ 3 h = 60 mph assuming it was at a constant speed

number of pounds in z ounces

Answers

Answer:

0.0625 pounds are in an ounce

Step-by-step explanation:

Hope This Helps!

Answer:

Below

Step-by-step explanation:

There are 16 oz to a pound

if you have    'z' ounces    then you have   z/16  pounds

z oz   /  16 oz/lb =   z/16  lb

What is the tangent ratio for

Answers

Check the picture below.

Tan = opposite/adjacent

Tan ratio for angle B is 2/1.

the rate of 2 of 2 pounds of rice for $4 is written

Answers

The unit rate of the pound of rice is given by the equation A = $ 2

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 unit rate of the pound of rice be represented as A

Now , the equation will be

The cost of 2 pounds of rice = $ 4

So , the cost of 1 pound of rice = cost of 2 pounds of rice / 2

Substituting the values in the equation , we get

The cost of 1 pound of rice A = 4 / 2

The cost of 1 pound of rice A = $ 2

Therefore , the value of A is $ 2

Hence , the equation is A = $ 2

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Please help me due tommorow

Answers

Answer:

A)57   film a music video

Step-by-step explanation:

Let x represent measure of angle 1.

We have been given that measure of angle 3 is six more than twice the measure of angle 1. So measure of angle 3 would be .

We are also told that measure of angle 2 is 27 less than measure of angle 3, so measure of angle 2 would be .

We have been given that angle 1, angle 2 and angle 3 form a straight line, so the sum of angles 1, 2 and 3 would be 180 degrees.

Upon substituting the expressions for measure of angles, we will get:

Now, we will combine like terms.

The measure of angle 2 would be .

Therefore, the measure of angle 2 is 57 degrees.  

A rectangle has side lengths, in centimetres, of r and r-3
a)Write a sentence to explain why r>3.
b)The perimeter of the rectangle is smaller than 26 cm. Use this information and your answer to part a) to write a double inequality for r.

Answers

a) The reason for which r > 3 is because a side length in a figure cannot assume a negative value.

b) The double inequality for r is given as follows: 3 < r < 8.

How to obtain the perimeter of a rectangle?

The perimeter of a rectangle of base b and height h is given by the equation presented as follows:

P = 2(b + h).

The dimensions for this problem are given as follows:

b = r.h = r - 3.

The perimeter of the rectangle is smaller than 26 cm, hence the inequality is defined as follows:

P < 26.

2(b + h) < 26

b + h < 13 (simplifying by 3 both sides of the inequality).

r + r - 3 < 13

2r < 16

r < 8.

Hence the double inequality is defined as follows:

3 < r < 8.

As a side length cannot be negative nor zero, hence it is also needed that r - 3 > 3 -> r > 3.

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Jump To The Flag
Bob is trying to reach a flag that's some height above the ground. In his attempt to reach the flag, Bob can make any number of jumps up the rock wall where it's mounted. He can only move up the wall though, and he must end at exactly the height of the flag. There are 2 types of jumps:
1. A jump of height 1.
2. A jump of height j ;
Determine the minimum number of jumps it will take Bob to reach the flag's height exactly

Answers

The minimum number of jumps required to reach the flag's height is 3.

Let n be the height of the flag. We can use a recursive approach to determine the minimum number of jumps it takes to reach the flag's height.

For n = 0, it takes 0 jumps to reach the flag's height.

For n = 1, it takes 1 jump to reach the flag's height.

For n > 1, we can calculate the minimum number of jumps using the following equation:

minJumps(n) = 1 + min(minJumps(n-1), minJumps(n-j))

Where minJumps(x) is the minimum number of jumps required to reach the flag's height from ground level x.

For example, if the flag's height is 5 and Bob can jump a height of 2, the minimum number of jumps required to reach the flag's height is 3.

minJumps(5) = 1 + min(minJumps(4), minJumps(3))

= 1 + min(1 + min(minJumps(3), minJumps(2)), 1 + minJumps(2))

= 1 + min(1 + 1, 1 + 1)

= 3

Therefore, the minimum number of jumps required to reach the flag's height is 3.

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evaluate h/4 +(12-y)/3 when h is -12 and y is 3
A.0
B.6
C.8
D.9

Answers

Answer:

A) 0

Step-by-step explanation:

h/4+(12-y)/3

-12/4+(12-3)/3

-3+(9)/3

-3+9/3

-3+3

0

What is quadrant class 9?

Answers

Quadrant Class 9 is a level of mathematics taught in secondary school in the United Kingdom. It is the equivalent of Algebra 1 and Geometry combined in the United States.

This class teaches students how to graph equations, solve equations, and use the properties of shapes to solve problems. Quadrant Class 9 also covers the basics of calculus, such as derivatives, integrals, and limits.

The main focus of Quadrant Class 9 is on graphing equations. Students learn how to plot points on a graph, connect the points to make a line or curve, and solve equations by finding the intersection of two lines. They also learn how to graph the solutions of inequalities and identify the domain and range of a function.

In addition to graphing, students learn how to solve equations using basic algebraic principles, such as the order of operations and the distributive property. They also learn how to solve systems of equations, manipulate polynomials, and find the roots of a quadratic equation.

Quadrant Class 9 also covers the basics of geometry, such as the Pythagorean Theorem, the properties of triangles, and the area and perimeter of shapes. Students learn how to use these skills to solve problems involving angles, area, and volume.

Overall, Quadrant Class 9 is a challenging and rewarding mathematics class that prepares students for higher-level math classes in the future.

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what is the range of y=2x^(2)+12x-13?

Answers

The range of y=2x^(2)+12x-13 is all real number Option C

What is a quadratic function?

Generally, A quadratic function is a type of polynomial function that has the form

f(x) = ax^2 + bx + c,

where

a, b, and c are constants and x is the variable.

The graph of a quadratic function is a parabola that opens either upward or downward, depending on the value of a. The vertex of the parabola is the point (h, k), where h = -b/2a and k = f(h). The roots of the quadratic function, or the x-coordinates of the points where the parabola crosses the x-axis, can be found using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a.

The range of a quadratic function in the form of y = ax^(2) + bx + c is all real numbers for a ≠ 0, and for a = 0,

the range is {c}. In this case, a = 2, so the range of y = 2x^(2) + 12x - 13 is all real numbers.

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The range of the given quadratic equation is y ≤ 5.

What is a Quadratic Function?

The quadratic function can represent a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

For solving a quadratic function you should find the discriminant: Δ=b²-4ac . And after that, you should apply the discriminant in the formula:[tex]x=\frac{-b\pm\sqrt{\Delta} }{2a}[/tex] .

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.  While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

For a quadratic function,  the range is defined from the y-coordinate of the vertex  ( [tex]y_v=\frac{-\Delta}{4a}[/tex]).

If a<0, the range is y≤ yv

If a>0, the range is y≥ yv

The question gives the following quadratic equation: -2x²+12x-13, then:

a=-2

b=12

c=-13

Δ= b²-4ac=12²-4*(-2)*(-13)=144-104=40

Therefore,

[tex]y_v=\frac{-\Delta}{4a}=\frac{-40}{4*(-2)}=\frac{-40}{-8}=5[/tex]

Thus, yv=5 and the range is ≤ 5.

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The price of a TV is 540 omr
In a sale it is reduced by 35%
Work out the sale price.
If you get stuck, consider drawing a diagram.
You may want to use a calculator to work out 35% of
540 first...

Answers

To calculate the sale price, we need to find out how much the TV is discounted by, which we can do by multiplying the original price by the percentage discount (expressed as a decimal).

35% of the original price can be expressed as 0.35.

so,

Discount = 540 omr * 0.35 = 189 omr

To find the sale price, we can subtract the discount from the original price:

Sale price = Original price - Discount

Sale price = 540 omr - 189 omr

So the sale price is 351 omr.

Question 19xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Answers

Answer:

1

Step-by-step explanation:

[tex]\mathrm{\cfrac{3^5\times\:10^5\times\:25}{5^7\times\:6^5}}[/tex]

Factor:

6^5= 2^5*3^5

10^5= 2^5*5^5

25 = 5^2

[tex]\mathrm{\cfrac{3^5\times\:2^5\times\:5^5\times\:5^2}{5^7\times\:2^5\times\:3^5}}[/tex]

3^5*2^5*5^5*5^2 = 3^5*2^5*5^7

[tex]\mathrm{\cfrac{5^7\times\:3^5\times\:2^5}{5^7\times\:2^5\times\:3^5}}[/tex]

Now, cancel common factor:-

[tex]\mathrm{3^5\times\:2^5\times\:5^7}[/tex]

[tex]\mathrm{1}[/tex]

-Hope this helps!

5. Use the scatter plot to answer the question.
A. What grade would someone with 3 missing assignments
have?
B. After how many missing assignments will a student likely
have a zero for an average?
Average Grade
Number of Hissing Assignments

Answers

Therefore , we may now say that the requisite unequal declaration is 4.50x+1.75y 50 if the expression problem is resolved.

Define the term expression.

In mathematics, an expression is made up of a claim, two or more integers or variables, and one or more arithmetic operations. This mathematical operation can multiply, divide, add, or remove numbers. The following is how an expression is put together: Expression: A variable or a number, a math operator, and a math operator.

Here,

$4.50 is the price per assignment.

The assignment cost "x" is equivalent to 4.50x as a result.

$1.75 for each task.

Therefore, the cost of assignment "Y" is 1.75Y.

Because of this, 4.50x+1.75y should be $50 maybe less.

As a result, the inequality declaration required is 4.50x+1.75y ≤50.

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Kate was ordering the following rational numbers in math class. Please order them in ascending order:
-4.7 , 11 , 13 , -21 , 8 8/9 , 0 , -6 1/2 , 38 , -73

Answers

The numbers in the ascending order is given by A , where

-73 < -21 < -6 1/2 < -4.7 < 0 < 8 8/9 < 11 < 13 < 38

What is Ascending Order?

When numbers are arranged in ascending order, they are done so from least to largest. We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in ascending order: Determine how many digits each number has.

Given data ,

Let the set of numbers be represented as set P

The value of set P is P = { -4.7 , 11 , 13 , -21 , 8 8/9 , 0 , -6 1/2 , 38 , -73 }

On simplifying the equation , we get

The larger the negative number , the lesser is its value

And , larger the positive number , the greater is its value

So ,

The ascending order of the numbers are

-73 < -21 < -6 1/2 < -4.7 < 0 < 8 8/9 < 11 < 13 < 38

Hence ,

The ascending order is -73 < -21 < -6 1/2 < -4.7 < 0 < 8 8/9 < 11 < 13 < 38

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Tell whether the ordered pair is a solution to the system of linear equations. 1 point(-2,-1); 2x 4y= -86x + 5y = -7YesNoMaybeTell whether the ordered nair is a solution to the Do you guys mine lending me a hand? Write code to take two words from the user. The program should convert these to lower case, then compare them: printing a positive number if string1 appears after string2 alphabetically, a negative number if string1 appears before string2 alphabetically and zero if the two strings are identical. Make sure your program does not produce any additional numerical output other than this number or it may not be graded correctly. What is Exploring technology? As every amusement park fan knows, a Ferris wheel is a ride consisting of seats mounted on a tall ring that rotates around a horizontal axis. When you ride in a Ferris wheel at constant speed, what are the directions of your acceleration and the normal force on you (from the always upright seat) as you pass through (a) the highest point and (b) the lowest point of the ride Elizabeth and McKenna are going to the county fair on free student admission night. Elizabeth and McKenna will be able to get in the fair for free however the fair charges $2 per ride. The girls want to know how many ride they can ride and how much will it cost them.WRITE AN EQUATION TO SHOW THE REALTIONSHIP between the independent and dependent variables?!?! ASAP I NEED ANSWER Which of the following represents the solution set to 4x^2+8x-1=0? When the Pope excommunicated Henry IV, it meant that the emperorOAwas no longer considered part of the Church,B .lost his throneC. would be put to death by the papal courtDhad to give up his property and land. According to this pie graph, which vaccine seems to be the most important in preventing disease and death in children under 5?A) measles B) tetanus C) rotavirus D) pneumococcal diseases Given: EGEF = JKProve: FG = HJ PLEASE HELP ASP Vaughn threw the shot put 9 yards at a track meet. The official used a tape measure to measure the distance in feet. How many feet did he throw the shot put? just need to know the fraction I need help with this please What is the exact value of tan(/4)? 1. The number of customers in a restaurant during the peak hour of each day for a month variedsignificantly from day to day. Here are pieces of the data on the number of customers servedduring the peak hour of each business day:3 Lowest25, 32, 37Q145Mean48Median50Q3583 highest69, 70, 75(a) Are there any outliers in the data set? Justify your answer numerically an isosceles triangle has congruent sides of 20 cm. the base is 10 cm. Find the height of the triangle. Round to the nearest tenth. (Pythagorean theorem) Plz help! If you cant answer all the questions its ok just answer at least one but all would be great! You will get a brainly! Which of the following represents a step in the nitrogen cycle? Tyranny is the abuse of power by someone in charge, like a king. Which of these is the BEST example of tyranny? *1. An emperor who forces all the citizens to give all their money to pay for his new crown.2. A queen who makes her birthday a national holiday and gives everyone the day off to celebrate it.3. A president who signs an executive order stating that all citizens are required to show ID to get on an airplane.4. A king who creates a new tax in order to pay for improved roads in the kingdom. Sandia Inc. wants to acquire a $360,000 computer-controlled printing press. If owned, the press would be depreciated on a straight-line basis over 10 years to a book salvage value of $0. The actual cash salvage value is expected to be $25,000 at the end of 10 years. If purchased, Sandia will incur annual maintenance expenses of $3,000. These expenses would not be incurred if the press is leased. If the press is purchased, Sandia could borrow the needed funds at an annual pre-tax interest rate of 10%. The lease rate would be $48,000 per year, payable at the beginning of each year. If Sandia has an after-tax cost of capital of 12% and a marginal tax rate of 40%, what is the net advantage to leasing? a. $37,737 b. $65,543 c. $60,713 d. $57,173