Please Help! A bridge support is represented by the top half of an​ ellipse, shown in the figure to the right. The point​ Q, which is the center of the​ ellipse, is at the origin. The bridge support is 18 feet high at its center and it is 25 feet from either end of the bridge to the center. Find the equation that best describes the ellipse.

Please Help! A Bridge Support Is Represented By The Top Half Of An Ellipse, Shown In The Figure To The

Answers

Answer 1

The elliptical arc of the bridge is described by the length of the given semi-major and semi minor axis.

[tex]\mathrm{The \ equation \ that \ best \ describes \ the \ ellipse \ is; }\ \displaystyle \underline{\frac{x^2}{25^2} + \frac{y^2}{18^2} = 1}[/tex]

Reasons:

The given parameters of the ellipse are;

Shape of the bridge support = Top half of the ellipse

Height of the bridge support at the center = 18 feet

Distance from the bridge support from the center on either side = 25 feet

The general equation of an ellipse is presented as follows;

[tex]\displaystyle \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]

Where;

a = The semi major axis = The distance from the center to the left or right support  = 25 feet

b = The semi minor axis = The height of the ellipse at the center = 18 feet

Which gives;

[tex]\displaystyle \mathrm{ \underline{The \ equation \ of \ the \ ellipse \ is; \ \frac{x^2}{25^2} + \frac{y^2}{18^2} = 1}}[/tex]

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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2^3 + 2^2 x 2 + 6 - 2^1 x 2^0 - 1

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Answer:

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Step-by-step explanation:

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-2-2=0.5(3-5)

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

x-8y=-1

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Step-by-step explanation:

1 / 9 is the correct answer

Answer:

The answer is 1/9

Step-by-step explanation:

Hope it helps.

Which statement best describes the function f(x)=k^−√x+2 if k is a constant such that k > 1 and x≥−2 ? Consider only positive values of the radical.

A
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D
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Answer:

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Step-by-step explanation:

Find the inequality represented by the graph in the picture below

Answers

Answer:

[tex]y \geq2x - 5[/tex]

Step-by-step explanation:

First off, we can tell that the line has a positive slope because it's going upwards to the right. To find the slope of the line exactly, we will start at the first given point and count the units until we get to the next point.

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om has 10 coins in his pocket. Some are nickels and some are dimes.
total value of the coins is $0.85. How many of each type of coin does
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Answers

Answer:

7 dimes and 3 nickels

Step-by-step explanation:  

     

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Let H(t) = 68 + 93(0.91)^t give the temperature of a cup of coffee in degrees Fahrenheit t minutes after it is brought to class.
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Answer:

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EXAMPLE 8:
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Answers

Answer:

1. 50

2. 130

3.130

Step-by-step explanation:

50 is a vertical angle to 1. so it has the same value.

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Answer:

5, 1.4

Step-by-step explanation:

you just take a value of x with its matching value of y and divide it

The length of a rectangle is 7 less than the width. If the
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Answers

Answer:

Step-by-step explanation:

Let width = w

Length = w - 7

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2*(w-7 + w) = 50

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Answers

Bring the 6x from the left side to the right side.
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24 = 6x - 6x
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Answer:

-24 does not equal 0, so therefore there's no solution.

Step-by-step explanation:

In order to get x by its self, you first have to subtract 6x on both sides to get -24 = 0. Next divide 12 on both sides to get -2 = x.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Let x = gallons consumed by car 1

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We set up our equations:

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Substituting eq 2 into eq 1,

35x+40(50-x) = 1850

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Substitute value of x into eq 2.

x+y = 50

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Answers

Answer:

Step-by-step explanation:

- 38d - 57 ≥ - 19d + 76

- 38d + 38d - 57 - 76 ≥ - 19d + 38d + 76 - 76

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Answer:

[tex]d\leq -7[/tex]

Step-by-step explanation:

Move all terms containing [tex]d[/tex] to the left side of the inequality.

Add [tex]-19d[/tex] to both sides of the inequality.

[tex]-38d-57+19d\geq 76[/tex]

Add [tex]-38[/tex] and [tex]19d.[/tex]

Move all terms not containing  [tex]d[/tex]  to the right side of the inequality.

Add [tex]57[/tex] to both sides of the inequality.

[tex]-19d\geq 76+57[/tex]

Add [tex]76[/tex] and [tex]57.[/tex]

[tex]-19d\geq 133[/tex]

Divide each term by [tex]-19[/tex] and simplify.

Divide each term in [tex]-19d\geq 133[/tex] by [tex]-19[/tex]. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

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Cancel the common factor

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Divide [tex]133[/tex] by [tex]-19.[/tex]

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The result can be shown in multiple forms.

Inequality Form:

[tex]d\leq -7[/tex]

Interval Notation:

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The sum of 3 times a number and 4 is 2.

Answers

I think its 24? or am i just not smart

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1 is decreasing by 3. x-3=y
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9.
Identify the minimum value of the function y = 3x2 − 12x + 10.

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Answers

Answer:

D. −2

Step-by-step explanation:

Use the formula  x = − b /2 a  to find the maximum and minimum.

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Express each ratio as a fraction in simplest form.
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Answers

Answer to question:   5:12 5/12

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Answer:

I believe the answer is neither

Step-by-step explanation:

Rachel is blowing up a balloon so that the diameter increases at the rate of 10 cm/sec. At what rate must she blow air into the balloon when the diameter measures 4 cm

Answers

Using implicit differentiation, it is found that she must blow air at a rate of 251.33 cm³/sec.

A balloon has a spherical format.

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

The radius is half the diameter, hence:

[tex]r = \frac{d}{2}[/tex]

[tex]r^3 = \frac{d^3}{8}[/tex]

[tex]V = \frac{4\pi d^3}{24} = \frac{\pi d^3}{6}[/tex]

Applying implicit differentiation, the rate of change of the volume is:

[tex]\frac{dV}{dt} = \frac{d^2 \pi}{2}\frac{dd}{dt}[/tex]

The diameter increases at the rate of 10 cm/sec, hence [tex]\frac{dd}{dt} = 10[/tex].It is of 4 cm, hence [tex]d = 4[/tex]

The rate that she must blow air is:

[tex]\frac{dV}{dt} = \frac{d^2 \pi}{2}\frac{dd}{dt}[/tex]

[tex]\frac{dV}{dt} = \frac{4^2 \pi}{2}(10)[/tex]

[tex]\frac{dV}{dt} = 251.33[/tex]

She must blow air at a rate of 251.33 cm³/sec.

A similar problem is given at https://brainly.com/question/25581404

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