A bridge is built in the shape of a parabolic arch. The bridge has a span of feet and a maximum height of feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of​ 10, 30, and 50 feet from the center.

Answers

Answer 1

Answer:

Height of the arch at distances of​ 10, 30, and 50 feet from the center is as follow:

Put x = 10 we get

the value of y = 0.695

Put x = 30

the vale of y = 6.26

Put x = 50

the value of y = 17.37

Step-by-step explanation:

The prabolic arch for bridge has span of 120 feet and height f 25 feet. The rectangular corordinate system is

such as

height = h = 25

Distance = x

(x-h) = -4a(y-k)

x² = -4ay

60 = -4a(-25) and

where the value of a =36

therefor the parabolic arch is

x = -144y

For distance of 10 , 20 and 30 let take the feet from center then we have

put x = 10 we get

10² = -144 y

100 / 144 = y

the value of y = 0.695

Put x = 30

30² = -144y

30/144 = y

the vale of y = 6.26

Put x = 50

50² = -144 y

50/144 = y

the value of y = 17.37


Related Questions

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

c = 9.76165m

c = 9.8m

Step-by-step explanation:

The formula for this is [tex]a^{2} +b^{2} =c^{2}[/tex]

or [tex]c = \sqrt{a^{2} +b^{2} }[/tex]

What is the value of
(4.1 x 103) (2.0 x 103)
expressed in scientific notation?

Answers

Option A is the answer of this question.


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Page 11 of 4
Question 11 (1 point)
Rock musician Donny West is paid 20% on his CD sales and tour video sales.
Last year, he sold one million CDs and 650,000 videos.
The CDs were sold to music stores for $5.25 each and the videos for $6 each.
How much did Donny West receive in royalties last year?
a) $780,000
b) $1,050,000
c) $1,830,000
d) $200,000
e) $130,000

Answers

Answer:

dony west receive $1830000

For the following indicate whether a confidence interval for a proportion or mean should be constructed to estimate the variable of interest.
A researcher with a golf association obtained a random sample of 25 rounds of golf on a Saturday morning and recorded the time it took to complete the round. The goal of the research was to estimate the amount of time it typically takes to complete a round of golf on Saturday morning.
The confidence interval for a population____should be constructed because the variable of interest is____which is a____variable.

Answers

Answer: mean; time to complete round; quantitative

Step-by-step explanation:

Based on the information given in the question, the time to complete the round will be the variable of interest.

The confidence interval for a population (mean) should be constructed because the variable of interest is (time to complete round) which is a (quantitative) variable.

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

2.8

Step-by-step explanation:

Use the formula                              a^2+b^2=c^2

Then plug in the numbers             2^2+2^2=c^2

Solve to find the value of c           8=c^2

                                                       c≈2.8

So, the hypotenuse is 2.8

Hope this helps! Let me know if you have any questions :D

i need the answer asap

Answers

Answer: x=114

Step-by-step explanation:

Assuming the population is normally distributed, find the probability P(x>4.5) given the mean is 6 and the standard deviation is 0.7

Answers

Answer:

[tex]P(x > 4.5)= 0.983943[/tex]

Step-by-step explanation:

Given

[tex]\mu = 6[/tex]

[tex]\sigma = 0.7[/tex]

Required

[tex]P(x > 4.5)[/tex]

Start by calculating the z score

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So:

[tex]z = \frac{4.5 - 6}{0.7}[/tex]

[tex]z = \frac{-1.5}{0.7}[/tex]

[tex]z = -2.143[/tex]

So, we have:

[tex]P(x > 4.5)= 1 - P(x < 4.5)[/tex]

This gives:

[tex]P(x > 4.5)= 1 - P(x < z)[/tex]

[tex]P(x > 4.5)= 1 - P(x < -2.143)[/tex]

Using the z score probability table, we have:

[tex]P(x > 4.5)= 1 - 0.016057[/tex]

[tex]P(x > 4.5)= 0.983943[/tex]

what is the length of segment bd

Answers

Answer:

10 if not mistaking, sorry if im wrong

Step-by-step explanation:

Answer:

BD = 16

Step-by-step explanation:

AB and AC are both radii

AB  = AC =  6 + 4 = 10

BE = 8 because it's the leg of a right triangle with 6² + 8² = 10²

BD = 2 * BE = 2 * 8 = 16

Write the expression 53.7124 x 10 x 3 as a single number.

Answers

Answer:

The aswer is buy a rabbit

Step-by-step explanation:

Answer:

1611.372

Step-by-step explanation:

A is a set containing five different numbers. B is a set containing
four different numbers, all of which are members of A. Which of
the following statements CANNOT be true?

Answers

Answer:

"the median of a is equal to the median of b" cannot be true.

Step-by-step explanation:

The statement "the range of A is less than the range of B. cannot be true.

What is mean?

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

The given statements are:

The mean of A is equal to the mean of B,The median of A is equal to the median of B,The range of A is equal to the range of B,The range of A is less than the range of B.

The range of A < the range of B --> the range of a subset cannot be more than the range of a whole set.

Thus, the statement "the range of A is less than the range of B. cannot be true.

Learn more about the mean here:

https://brainly.com/question/22871228

#SPJ2

Pls help me, if you get it right I will give you Brainlist!​

Answers

Answer:

B. 31.4

Step-by-step explanation:

● you use the equation to find the circumstance of a circle so 2(pi)r.

● plug in the numbers into the equation 2(3.14)(5)

● evaluate. 2(15.70) = 31.4

Find the surface area of the rectangular prism

Answers

I believe it would be 242 cm^2

PLssssssssssssssssssssss help.

Answers

D is answer you please

What is the value of k in this equation??plz help​

Answers

Answer:

k=10×5

k=50 is the answer

Answer:

K=50

HOPE THIS HELPS

-Todo ❤️

Step-by-step explanation:

10/1/5=50

Help me on this . It’s important

Answers

Answer:

The answer is 16.

Step-by-step explanation:

6 x 3 = 18

18 - 2 =16

6n- 2= ?
6(3) - 2 —> substitute the “n” with 3
=18-2 —> 6 times 3 equals 18 and =16 subtract 2

Find the circumference of a circle with a radius of 13.5 mm.

Answers

Answer:

84.82

Step-by-step explanation:

Answer: 84.82

Step-by-step explanation:

Kadence took a random sample of students at her school and asked them how much they typically slept on a school night versus a weekend night. She noticed a positive linear relationship between the times. Here is computer output from a least-squares regression analysis on her sample:

Regression: weekend vs school night

Predictor Coef SE Coef
Constant 3.182 2.319
School night 0.789 0.237
S= 1.75 R-Sq= 20.9%

Required:
What is an appropriate test statistic for testing the null hypothesis that the population slope in this setting is 000?

Answers

Answer:

The answer is "3.329".

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\text{test statistic t} = \frac{slope}{standard \ error}[/tex]

                      [tex]=\frac{0.789}{0.237}\\\\=3.329[/tex]

A triangle has sides of lengths 24, 143, and 145. Is it a right triangle? Explain.

Answers

Answer:

Yes, the given triangle is right angled

Step-by-step explanation:

To confirm if the given triangle is right angled, we have to apply pythagoras theorem. It states, if a triangle is right angled then

Hypotenuse² = Base² + Perpendicular²

We know that the longest side is hypotenuse.

ie; (145)² = (143)² + (24)²

(145)² = 20449 + 576

21025 = 21025

As LHS = RHS, it is clear that the given triangle with sides 24, 143 and 145 units is right angled

four of the angle of a Pentagon are 70°,90°,100° and 145°. What is the side of a fifth angle?​

Answers

Answer: 135°

Step-by-step explanation:

The sum of the angles in a pentagon is equal to 540°, and the sum of the first four angles is 405°.

70 + 90 + 100 + 145 = 405

540 - 405 = 135

A square has a perimeter of 88 yd. What is the length of each side

Answers

Answer:

22 yards

Step-by-step explanation:

p = 4s

88 = 4s

22 = s

plz help 5th grade work

Answers

Answer:

I don't see where the question is...

Step-by-step explanation:

HELP I NEED TO DO THIS NOW I NEED ANSWER B AND C

Answers

Answer: a = 13 b = 39 c = 12

Step-by-step explanation:

Name the three labeled segments that are parallel to EF

Answers

Answer:

Answer D

Step-by-step explanation:

The answer here is D since all of the other ones have at least one option that is perpendicular to segment EF.

Evaluate each expression for n= -5.
5. n-6
6.-15-n
7. n-(-12)
8. 1-n

Answers

Answer:

Hello!

5: -11

6: -10

7: 7

8: 6

Hope that helps!

how will we write 2 divided by n

Answers

2/n

i believe this is right?

What is the product?

StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction
StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction
StartFraction x (x minus 1) Over 2 EndFraction
StartFraction (x + 4) (x minus 4) Over 2 x (x minus 1) EndFraction
StartFraction (x minus 4) (x minus 1) Over 2 x (x + 4) EndFraction

Answers

Answer:

A

Step-by-step explanation:

The product of  the expression [tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]  is [tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]

What is an expression?

An expression is an algebraic term used for a mathematical statement that include variables and mathematical operations

Below is how to calculate the product

The product expression is given as:

[tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]

Express x^2 - 16 as a difference of two squares

[tex]\frac{(x - 4)(x + 4)}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]

Divide the expression

[tex]\frac{x - 4}{2} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]

Factorize the other fraction

[tex]\frac{x - 4}{2} * \frac{x(x^2 - 2x + 1)}{(x -1)(x + 4)}[/tex]

Further factorize

[tex]\frac{x - 4}{2} * \frac{x(x- 1)(x - 1)}{(x -1)(x + 4)}[/tex]

Divide

[tex]\frac{x - 4}{2} * \frac{x(x- 1)}{x + 4}[/tex]

Multiply the fractions

[tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]

Hence, the product of  [tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]  is [tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]

Read more about algebraic expressions at:

https://brainly.com/question/4344214

What data display would be best for a persons income based on age?

Answers

Answer:

where are the answers to select from?

Step-by-step explanation:

Which sequence of transformations would create an image that is incongruent to the original pre-image? O A translation 4 units to the left followed by a dilation by 2 O A rotation of 90- followed by a translation of 2 units to the right O A reflection across the y-axis followed by a rotation of 180- O A rotation of 270 followed by a reflection across the x-axis.​

Answers

Answer: Choice A

A translation 4 units to the left followed by a dilation by 2

=============================================================

Explanation:

The following transformations will make the pre-image and image congruent to one another:

ReflectionRotationTranslation

If you apply any of those transformations mentioned above, then the image is an identical copy of the pre-image. Nothing about the figure has changed other than it has been shifted, rotated, or reflected in some way. The figure retains its original size and shape. These transformations are called isometries.

A dilation on the other hand does not preserve the size. "Dilation by 2" means the scale factor is 2, so the image will be twice as large compared to the pre-image, in terms of linear dimension. This means there is no way the image is congruent to the pre-image if a dilation has occurred.

Based on all this, choice A is the answer. Choices B, C, and D only involve the three isometries mentioned earlier and no dilation at all, so they can be ruled out.

Alex collects coins that appreciate (increase in) value. At the store he has found three coins that he likes and can afford. Help Alex decide which coin to buy by selecting two coins and comparing their values over time. 1. Which two coins are you going to compare? Circle the two coins you picked. Coin A Coin B Coin C Finding Equations for the Values 2. What are the current values and appreciation rates of the two coins you selected? (2 points: 1 point for each of 2 coins) Coin Current Value Annual Appreciation Rate 3. Write an exponential equation for each coin that will give the coin's value, V, at any time, t. Use the formula: V(t) = P(1 + r)t, where V(t) is the value of the coin in t years, P is the initial investment, and r is the growth rate. For each of the coins you selected, identify P and r, then set up an equation to find the value of the coin at any t. (2 points: 1 point for each coin) Coin P r Function V(t) = V(t) = Interpreting Exponential Expressions 4. In the coin value formula, V(t) = P(1 + r)t, which part(s) form the base of the exponential function? Which part(s) form the constant, or initial value? Which part(s) form the exponent? (4 points: 1 point for each answer below) Base: Constant, or initial value: Exponent: In this function, if the value of r were to increase, would the value represented by P also increase or stay the same? Why? Explain your answer using terms such as "rate of growth" and "initial value" in the context of the coin problem. 5. Find the value of the coins after 10, 20, 30, and 60 years. Use the function you identified in question 3 to calculate the value. (8 points: 1 point for each time interval) Coin A Coin B Coin C Initial Value 10 years 20 years 30 years 60 years Determining the More Valuable Coin 6. Which coin is more valuable after 10 years? 20 years? 30 years? 60 years? Which coin would you purchase if you intended to keep it longer than 60 years, and why? (Hint: Loo

Answers

Answer:

Coin A:

10:$46.18

20:$96.74

30:$190.31

60:$1448.66

Coin B

10:$65.16

20:$106.13

30:$172.88

60:$466.98

Coin C

10:$88.81

20:$131.47

30:$194.60

60:$631.18

I think these are right. I've rounded the answers to the nearest 10th place.

HELP PLEASE
The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of 121212 mm.
What is the volume of each lollipop?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.

Answers

Answer:

[tex]V=7.45\times 10^{15}\ mm^3[/tex]

Step-by-step explanation:

The radius of each lollipop is 121212 mm

We need to find the volume of each lollipop. The volume of a sphere is given by :

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

Put all the values,

[tex]V=\dfrac{4}{3}\times 3.14\times (121212 )^3\\\\V=7.45\times 10^{15}\ mm^3[/tex]

So, the volume of each lollipop is equal to [tex]7.45\times 10^{15}\ mm^3[/tex].

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