PLEASE HELP!?!?!?!?! In our amusement park that we built this week, the ride Diablo’s Domain had revenue of $250,000,000 in its first year as expected. The company paid $750,000 for insurance or $3 for every $1,000 in revenue. If the park is wildly successful and revenue increases by 25% in the second year and the rate of $3 for every $1,000 holds true, how much would it pay for insurance? Do you think it’s reasonable for insurance costs to increase proportionally? Why or why not?

Answer:

A) 8cm

Step-by-step explaination:

TR = 4 + x

Also,

TR = 8 + (2x - 16)

Therefore,

4 + x = 8 + 2x - 16

4 + x = (8 - 16) + 2x

4 + x = -8 + 2x

4 + 8 = 2x - x

12 = x

SR = 2x - 16

= 2(12) - 16

= 24 - 16

= 8

An object's lateral surface includes all of its sides, omitting the base and top. .The lateral surface area of a cylinder is 44.56 sq. inches.

An object's lateral surface includes all of its sides, omitting the base and top. The area of the lateral surface is denoted by the term lateral surface area. This differs from the total surface area, which includes the lateral surface area as well as the base and top regions.

The given data in the problem will be ;

r is the radius of cylinder=4.2 cm

h is the height of the cylinder=10.9 cm

L is the lateral surface area of the cylinder =?

The formulas of the lateral surface area of the cylinder will be;

\(\rm L= 2\pi rh\\\\\rm L= 2\times 3.14 \times 4.2 \times 10.9\\\\\rm L= 287.4984 \;sq.cm\)

1 sq cm =0.155 sq inches

287.4984 sq cm = 44.56 sq. inches

Hence the lateral surface area of a cylinder is 44.56 sq. inches.

Learn more about the lateral surface area of the cylinder refer ;

https://brainly.com/question/11385509

The inequality is true, so x = -1 is the correct value that makes the output -18.

Inequality refers to the unequal distribution of resources, opportunities, and benefits among individuals or groups within a society or between different societies. This can take many forms, including economic inequality (unequal distribution of wealth and income), social inequality (unequal treatment and opportunities based on factors such as race, gender, sexuality, and disability), and political inequality (unequal access to political power and representation).

Given by the question.

We need to determine the value of the input x that results in an output of -18.

From the function machine, we know that:

-2 > x > x - 3 → -18

To solve for x, we can simplify the inequality:

-2 > x > x - 3 (original inequality)

-2 + 3 > x - 3 + 3 (add 3 to both sides)

1 > x

So, we have:

-2 > x > x - 3 (original inequality)

1 > x (from simplifying the inequality)

Therefore, the only possible value of x that satisfies both inequalities is x = -1.

We can verify this by plugging x = -1 into the original inequality:

-2 > -1 > -1 - 3 (substitute x = -1)

-2 > -1 > -4

To learn more about inequality:

https://brainly.com/question/30228778

#SPJ1

Answer:

\( \boxed{d = \frac{5}{3}}\)

Step-by-step explanation:

\(given \: points \: (2,1) \: and \: (1, - \frac{1}{3}): \\ d \: = \sqrt{ (x _{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} } \\ d \: = \sqrt{ (1 - 2)^{2} +( - \frac{1}{3} - 1)^{2} } \\ d \: = \sqrt{ ( - 1)^{2} +( - \frac{4}{3})^{2} } \\d \: = \sqrt{ (1) +( \frac{16}{9}) } \\d \: = \sqrt{ 1 + \frac{16}{9} } \\d \: = \sqrt{ \frac{9}{9} + \frac{16}{9} } \\d \: = \sqrt{ \frac{25}{9} }\\d \: = \frac{\sqrt{ 25 }}{\sqrt{ 9 }} \\d \: = \frac{ 5}{3} \)

Answer: (y - 7) = M*(x - 4)

Step-by-step explanation:

Point-slope form is written as:

y - y1 = M*(x - x1)

where M is the slope, and the point is (x1, y1)

In this case we only know the point, so we can write this as:

(y - 7) = M*(x - 4)

Where the value of the slope is not known, then we have infinite possible lines defined in that equation

Answer:

7/64

Step-by-step explanation:

7/6÷8=7/6*1/8=7/64

Hope this helps :)

Answer:

Volume 25cm³

Pyramid height 3cm

Base area  25cm

Explanation:

V = A h/3 = 25·3/3 =

25cm³

To find the equation of the parabola with the given properties, we can use the standard form of a parabola equation:

(x - h)^2 = 4p(y - k)

where (h, k) represents the vertex of the parabola and p is the distance between the vertex and the focus (or vertex and directrix).

In this case, the focus is at (-5, -2) and the directrix is the line y = 3.

The vertex of the parabola can be found as the midpoint between the focus and the directrix. The y-coordinate of the vertex will be the average of the y-coordinates of the focus and the directrix:

y-coordinate of vertex = (-2 + 3) / 2 = 1/2

So, the vertex is (-5, 1/2).

The distance between the vertex and the focus (or directrix) is given by p.

Distance from vertex to focus (or directrix) = |k - y-coordinate of focus| = |1/2 - (-2)| = 5/2

Since the directrix is above the vertex, p is positive.

Now we have the values needed to write the equation of the parabola:

(x - (-5))^2 = 4(5/2)(y - 1/2)

Simplifying further:

(x + 5)^2 = 10(y - 1/2)

Expanding the equation:

x^2 + 10x + 25 = 10y - 5

Rearranging the terms and writing the equation in standard form:

x^2 + 10x - 10y + 30 = 0

Therefore, the equation of the parabola with the given properties in standard form is x^2 + 10x - 10y + 30 = 0.

learn more about parabola here

https://brainly.com/question/29267743

#SPJ11

Answer:

its either 3 or -3 hopefully someone in the comments can tell which

Step-by-step explanation:

Answer:

x+y-4

Good Luck!!!

Answer:

the solution is (5,5)

Step-by-step explanation:

if you plug in (5,5) where the x and y are you will find that the equation will balance out.

The height of the tower is x(tan α - tan β)/(tan α - tan β + a).

The height of the tower can be found using basic trigonometry. Let 'h' be the height of the tower, and 'x' be the distance from the point on the ground to the base of the tower.

From the given information, we have two right triangles - one with angle of elevation α and base 'x', and the other with angle of elevation β and base 'x-a'. Using the tangent function, we can write:

tan α = h/x

tan β = h/(x-a)

Solving these two equations for 'h', we get:

h = x(tan α - tan β)/(tan α - tan β + a)

Therefore, the height of the tower is x(tan α - tan β)/(tan α - tan β + a).

For more questions like Tower click the link below:

https://brainly.com/question/14164544?

#SPJ11

The question is an illustration of systems of equations, where 2 or more equations model a particular subject.

The system of equations is:

\(\mathbf{j + p = 75}\)

\(\mathbf{660j + 450p = 675}\)

Let:

j represents jogging

p represents power yoga

She wants to spend 75 minutes.

This is represented as:

\(\mathbf{j + p = 75}\)

The total calories to burn out is 675.

This is represented as:

\(\mathbf{660j + 450p = 675}\)

Hence, the system of equations is:

\(\mathbf{j + p = 75}\)

\(\mathbf{660j + 450p = 675}\)

Read more about system of equations at:

https://brainly.com/question/12895249

The total fee for Katie softball camp is, $375.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Katie made a deposit of $125.00 for a summer softball camp she still has $250.00 to pay.

Hence, The total fee for Katie softball camp is,

⇒ $125 + $250

⇒ $375

Thus, The total fee for Katie softball camp is, $375

Learn more about the addition visit:

brainly.com/question/25421984

#SPJ1

Answer:

130.92

Step-by-step explanation:

8.25(12)+3.99(8)

99+31.92

130.92

The optimal value for x in the stochastic model is a range of values from x=6 to x=8. The stochastic model causes problems due to the uncertainty in the optimal solution and the assumptions.

With a=5, the optimal solution is x=8. However, with the addition of stochasticity and possible values for a of 3, 4, and 6, the optimal value for x becomes a range of values.

The expected value of a is 4.5, which means that there is a higher probability of a lower value for a, resulting in a lower optimal value for x. Therefore, the optimal value for x becomes x=6 when a=3 or a=4, x=7 when a=5, and x=8 when a=6.

The stochastic model causes problems because the optimal solution is no longer a fixed value but rather a range of values that are dependent on the probability distribution of a.

Additionally, this model assumes that the production time is the only constraint on production, which may not always be the case in real-world production scenarios. Therefore, the stochastic model may not accurately reflect the actual production process and could lead to suboptimal production decisions.

To know more about  stochastic model, refer here:
https://brainly.com/question/28138551#
#SPJ11

Answer:

(a) The angle between them is 90 degrees

(b) The area is 125000ft^2

Step-by-step explanation:

Given

See attachment for complete question

Solving (a): Angle that gives the maximum area.

The area of a triangle is:

\(Area = \frac{1}{2}abSinC\)

Where C is the angle between a and b.

The maximum area of a triangle is:

\(Max\ Area = \frac{1}{2}ab\)

Equate both areas to find C

\(\frac{1}{2}ab\ sinC = \frac{1}{2}ab\)

Divide both sides by \(\frac{1}{2}ab\)

\(sinC = 1\)

Take arc sin of both sides

\(C = sin^{-1}(1)\)

\(C = 90\)

The angle between them is 90 degrees

Solving (b): The area when \(a = b =500\)

The area of a triangle:

\(Area = \frac{1}{2}abSinC\)

So:

\(Area = \frac{1}{2} * 500 * 500 * sin(90)\)

\(Area = \frac{1}{2} * 500 * 500 * 1\)

\(Area = \frac{250000}{2}\)

\(Area = 125000\)

Based on the diagram, there are 8 triangles in total

A triangle is a polygon with three sides and three angles.

Therefore, there are 8 triangles in the diagram.

Learn more about triangles:

https://brainly.com/question/17335144

#SPJ1

the curve has a vertical tangent line.

The given parametric equation is given as follows:

x(t) = t² + 2ty(t) = 4t² + t

Differentiate each equation to find the tangent lines.

dy/dx = (dy/dt) / (dx/dt)= (8t + 1) / (2t) = 4 + 1/2t

Therefore, to obtain the horizontal tangent line we need to make the numerator 0.8t + 1 = 0t = -1/8

Therefore, when t = -1/8, the curve has a horizontal tangent.

To find the vertical tangent lines, differentiate each equation with respect to yx'(t) = 2ty'(t) = 8t + 1

The slope of the tangent line will be undefined (i.e., vertical) if the denominator of the slope is zero.

8t + 1 = 0t = -1/8

Substituting t = -1/8 in the given equation,

the curve has a vertical tangent line.

To know more about vertical tangent

https://brainly.com/question/31568648

#SPJ

Since angle AOB and angle COD are vertical angles, they are congruent. Since angle AOB is a central angle of the first circle, it intercepts arc AB.

what is congruent ?

Congruent is a term used in geometry to describe figures or objects that have the same shape and size. When two figures are congruent, they are identical in every way, including their angles, sides, and dimensions

In the given question,

Proof:

1) Since angle AOB and angle COD are vertical angles, they are congruent.

2) Since angle AOB is a central angle of the first circle, it intercepts arc AB.

3) Similarly, angle COD is a central angle of the second circle, and it intercepts arc CD.

4) Using the fact that central angles of a circle intercept arcs of the same measure, we have that arc AB and arc CD have the same measure, since they are intercepted by congruent central angles.

Therefore, arc AB = arc CD, as required.

To know more about congruent. , visit:

https://brainly.com/question/12413243

#SPJ1

Answer:

14. B

pls give brainliest <3

we have the expression

2(m + 11)

Apply distributive property

2(m + 11)=2(m)+2(11)=2m+22

The answer is

A. Tyrell's mistake was he did not open the bracket properly.

B. The correct simplified expression is 8 -6x.

From the question,

Tyrell simplified the expression 16 - 2 (4 + 3x) as 16 - 8 + 3x.

16 - 2 (4 + 3x)

First, open the bracket by distributing -2. We get

16 -8 -6x

Simplifying further, we get

8 -6x

Hence, the correct simplified expression is 8 -6x.

Learn more here: https://brainly.com/question/17266933

Answer:

108 cubic units

Step-by-step explanation:

If X = 2 units, Y = 9 units, and Z = 6 units, then what is the volume of the rectangular prism shown above?

Volume of a rectangular prism XYZ = Length × Width × Height

= 2 unit × 9 unit × 6 unit

= 108 cubic units

Answer:

D

Step-by-step explanation:

If you solve y = -x - 2 you can plot (-4,2)

The value of n from the given expression is y =  (x-2)/z

The subject of formula is a way of representing a variable in terms of other variables.

Given the expression

x-2/y = z

Cross multiply

x - 2 = yz

Divide both sides by z

(x-2)/z = yz/z

(x-2)/z = y

Swap

y =  (x-2)/z

Hence the value of n from the given expression is y =  (x-2)/z

Learn more on subject of formula here: https://brainly.com/question/21140562

#SPJ1

Answer :

\(\frac{( x - 2 )}{z} = y\)

Step-by-step explanation:

\(\frac{(x-2)}{y} =z\)

Use cross multiplication.

\(( x - 2 ) = yz\)

Now, to make y the subject divide both sides by z.

\(\frac{( x - 2 )}{z} = y\)

Answer:

There is one solution

Step-by-step explanation:

2x=14

There is only one that could solve this, that wold be 7 and no other number besides -7

a. the sum of the first 200 natural numbers is 20,100. b. when the ball hits the pavement for the 6th time, it will have traveled approximately 104 feet in total (up and down).

(a) To find the sum of the first 200 natural numbers, we can use the formula for the sum of an arithmetic series.

The sum of the first n natural numbers is given by the formula: Sn = (n/2)(a + l), where Sn represents the sum, n is the number of terms, a is the first term, and l is the last term.

In this case, we want to find the sum of the first 200 natural numbers, so n = 200, a = 1 (the first natural number), and l = 200 (the last natural number).

Substituting these values into the formula, we have:

Sn = (200/2)(1 + 200)

  = 100(201)

  = 20,100

Therefore, the sum of the first 200 natural numbers is 20,100.

(b) The ball rebounds three-fourths of the distance it drops, so each time it hits the pavement, it travels a total distance of 1 + (3/4) = 1.75 times the distance it dropped.

For the 6th rebound, we need to find the distance the ball traveled when it hits the pavement.

Let's represent the initial drop distance as h (30 ft).

The total distance traveled after the 6th rebound is given by the sum of a geometric series:

Distance = h + h(3/4) + h(3/4)^2 + h(3/4)^3 + ... + h(3/4)^5 + h(3/4)^6

Using the formula for the sum of a geometric series, we can simplify this expression:

Distance = h * (1 - (3/4)^7) / (1 - 3/4)

Simplifying further:

Distance = h * (1 - (3/4)^7) / (1/4)

        = 4h * (1 - (3/4)^7)

        = 4 * 30 * (1 - (3/4)^7)

Calculating the value:

Distance ≈ 4 * 30 * (1 - 0.1335)

        ≈ 4 * 30 * 0.8665

        ≈ 104 ft

Therefore, when the ball hits the pavement for the 6th time, it will have traveled approximately 104 feet in total (up and down).

Learn more about natural numbers here

https://brainly.com/question/2228445

#SPJ11

Answer:

Image result for 44. Consider all rectangles with an area of 182 square feet. Let's Be the length of one side of such a rectangle a) Express the perimeter as a function of b) Use the graphing calculator to find the dimensions of the rectangle that has the least perimeter. What is the least perimeter?

Divide the area of the rectangle by the width in order to find the length of 14 feet. The perimeter is the sum of the side lengths, which in this case is 14 feet + 4 feet +14 feet + 4 feet, or 36 feet.