At right is the tunnel entrance that runs through
Castle Hill in Budapest, Hungary.



-a If the maximum height of the tunnel is the
same as its maximum width, 9.8 meters,
determine a quadratic model to represent
the tunnel
-b State a geometric model that could be used to
represent a truck passing through the tunnel.
-c If a typical truck has a width of 2.62 m,
determine the height limitation that should
be put on these trucks if they are going to
travel through the tunnel safely. State any
assumptions that you made and be sure to
show all of the steps in your solution.
-d Because its length is almost 350 meters,
a truck stopped in the tunnel would need
enough room for the passenger door to open
fully. Suppose a truck with a width of 2.6 m
and height of 3.4 m is stuck in the right lane
of the tunnel by the center line. The top of
the driver's door is 0.2 m below the top of the
truck, and the door opens 0.8 m to the side.
Show that the door can open fully, showing
all of your steps.
-e Determine how close to the side of the tunnel
the truck could be in d be and still be able to
open the passenger door.
-f Describe some issues/concerns that you
think architects take into account when
modelling a tunnel before its construction
End of document​

Answers

Answer 1

Answer:

My buddy what's popping??

Step-by-step explanation:

Those coming from the Pest end had to walk round the Castle Hill on the Buda side to be able to proceed northwards. On 10 February 1853, four years after the completion of the Chain Bridge, the building of a tunnel leading through the hill was started to the plans of Adam Clark. On 6 March 1856, the tunnel was opened for foot traffic, and on 30 April 1857 also for motor traffic. Being 350 meters in length, it leads through under the Buda Castle to the other side of the hill. Its length is approximately identical to that of the Chain Bridge, prompting anecdotes according to which the tunnel has only been built so that in rainy weather, the Chain Bridge can be shoved in and be protected from wet conditions. The entry of the tunnel at its Chain Bridge end was also fittingly designed in classicist style.

Answer 2

Answer:

At right is the tunnel entrance that runs through Castle Hill in Budapest, Hungary.-a If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, determine a quadratic model to represent the tunnel-b State a geometric model that could be used to represent a truck passing through the tunnel.

Step-by-step explanation:


Related Questions

Is the relation a function?

Answers

no the line is going side ways, it has to be up and down! or straight across!

Answer:

yes

Step-by-step explanation:

For a relation to be a function each value of x in the domain must map to exactly one unique value of y in the range.

Since the relation is a straight line , then each value of x will only map to one unique value of y ( passes the vertical line test )

helppppp pleaseeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Communicative property is the third one second one is assositave  and first one is distributive

Step-by-step explanation:

In the system of equations, b is a constant. If the system has infinitely many solutions, what is the value of b?

Answers

Answer:

The value of b is 9.5

Step-by-step explanation:

If a system of equations has infinitely  many solutions, that means the two equations are equal

If the system of equations ax + by = c, dx + ey = f, then

a = d ⇒ coefficients of xb = e ⇒ coefficients of yc = f ⇒ numerical terms

Let us use this fact to solve the question

3x - y = 19 ⇒ (1)

1.5x - 0.5 y = b ⇒ (2)

∵ This system of equations has infinitely many solutions

∴ The coefficients of x must be equal

∴ The coefficients of y must be equal

∴ The numerical terms must be equal

→ Multiply equation (2) by 2 to make the coefficients of x and y on it

  equal the coefficients of x and y in equation (1)

∵ 2(1.5x) - 2(0.5y) = 2(b)

3x - y = 2b ⇒ (3)

→ By comparing equations (1) and (3), 19 must equal 2b

∵ 2b = 19

→ Divide both sides by 2

b = 9.5

The value of b is 9.5

I(t) = 27, 992 * (1.017) ^ t covert to log

Answers

Answer:

By 2034 Texas per capita income would reach at least $50,000

Step-by-step explanation:

Given;

[tex]I(t) = 27,992(1.017)^t[/tex]

Converting the given function to log;

[tex]I(t) = 27,992(1.017)^t \\\\\frac{I(t)}{27,992} = (1.017)^t\\\\Log_{1.017} ( \frac{I(t)}{27,992} )= t \\\\(Based \ on \ log \ rule; if \ a = b^y , in \ log \ it \ will \ be \ written \ as, Log_b \ a = y)[/tex]

(B) When I(t) = $50,000, the time "t" will become;

[tex]Log_{1.017} ( \frac{I(t)}{27,992} )= t\\\\Log_{1.017} ( \frac{50,000}{27,992} ) = t\\\\Log_{1.017} (1.7862) = t\\\\34.4 \ years = t[/tex]

Thus, by 2034 Texas per capita income would reach at least $50,000

3n +15 for n =4
what is the answer​

Answers

Answer:

the correct answer would be 27

Step-by-step explanation:

So first things first you need to replace n with 4

3n+15

(3)(4)+15

=12+15

=27

Hope this helps have an amazing day!!

Answer: 27

Step-by-step explanation:

-We would need to substitute the value of the variable into the equation and simplify.

-We will be plugging in 4 for n.

Step 1: Plugging in.

3 * 4 = 12

Step 2: Addition.

12 + 15

Final Answer: 27

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​a) Find the exponential growth function. ​b) Estimate the population of the city in 2018. ​c) When will the population of the city be ​8 million? ​d) Find the doubling time. ​a) The exponential growth function is ​P(t) nothing​, where t is in terms of the number of years since 2012 and​ P(t) is the population in millions. ​(Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the​ equation.)

Answers

Answer:

a) The exponential growth function

P(t) = 5,690,000(1.0287)^t

b) 6,742,868.7374 million

c) 12.04 years

d) 2439.0243902

Step-by-step explanation:

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​

The formula for exponential growth is given as:

P(t) = Po( 1 + r) ^t

Where P = Population size after time t

Po = Initial population size

r = Growth rate in percentage

t= time in years

a) Find the exponential growth function.

P(t) = Population size after time t

Po = Initial population size = 5.69 million

r = Growth rate in percentage = 2.87% = 0.0287

t= time in years

The Exponential growth function

P(t) = 5,690,000(1 + 0.0287)^t

P(t) = 5,690,000(1.0287)^t

​b) Estimate the population of the city in 2018. ​

From 2012 to 2018 = 6 years

t = 6 years

Hence,

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^6

P(t) = 5,690,000(1.0287)^6

P(t) = 6,742,868.7374 million

c) When will the population of the city be ​8 million?

P(t) = 8,000,000

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1.0287)^t

Divide both sides by 5,690,000

8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000

= 1.4059753954 = 1.0287^t

Take logarithm of both sides

log 1.4059753954 = log 1.0287^t

Log 1.4059753954 =t Log 1.0287

t = Log 1.4059753954/Log 1.0287

t = 12.041740264

t = 12.04 years

​d) Find the doubling time.

The formula is given as 70/Growth rate

= 70/0.0287

= 2439.0243902

Given the table on the right, what is the slope?

Answers

Answer:

hi

Step-by-step explanation:

what is the meaning of life

Answers

Answer:

The meaning of life, or the answer to the question: "What is the meaning of life?", pertains to the significance of living or existence in general. Many other related questions include: "Why are we here?", "What is life all about?", or "What is the purpose of existence?"

Step-by-step explanation:

Answer:

Step-by-step explanation:

The meaning of life, or the answer to the question: "What is the meaning of life?", pertains to the significance of living or existence in general. Many other related questions include: "Why are we here?", "What is life all about?", or "What is the purpose of existence?"

Jack’s car used 18 gallons of gasoline to go 468 miles. At that rate, how many gallons would be used to go 754 miles? Explain how you know.

Answers

It would take 29 gallons of gas because when you divide 468/18=26 and then you would divide 754/26=29.

Answer:

29 gallons.

Step-by-step explanation:

For every gallon, a total number of 468/18 miles = 26 miles could be travelled.

And hence, to travel 754 miles, a total of 754/26 gallons = 29 gallons would be needed.

Hope this helped!

75 POINTS!WILL MARK BRAINLIEST

m(x) = 2xto the 2nd power+3x-5

m(-2)=-19 right?

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

2mx³+3x−5

Step-by-step explanation:

.............whats 9 plus 10

Answers

Answer:

9 plus 10 is 21

Answer:

19

Step-by-step explanation:

just add 9+10

tell me your opinions on the following image

Answers

Answer:

gorgeous

Step-by-step explanation:

Answer:

i am disturbed.

Step-by-step explanation:

this image is disturbing to me, because he is staring at you in your sleep too

(NEED ASAP) 15 POINTS

Answers

Answer:

1 and 2 go in the 2nd area and 3 gos to the 1st and 4th gos to the last one

Step-by-step explanation:

hope this helped!

P.S. can i pls have brainlyist am trying to lv up thx! ;D

What is 56/5 simplest form???

Answers

Answer:

9 1/3

Step-by-step explanation:

this is what i think and i hope im right

Answer:

11 1/5

Step-by-step explanation:

You can do 56 divided by 5 to answer this.

56 / 5 = 11 and 1/5

11 1/5

Ana and Chuyen are exploringunderwater sea life while on a helmet divingadventure. Ana's location ismath−30feet below sealevel, and Chuyen's location ismath−12feet belowsea level. Which girl is located farther from sealevel?

Answers

Answer:

Ana

Step-by-step explanation:

Given that:

Ana's location = −30feet below sealevel

Chuyen's location = − 12feet below sea level

Sea level = point 0 ;

-30 feets below sea level

A depth of - 30, below the water surface.

A depth of - 12 below sea level ; a depth of 12 feets below the water surface

-30 feets is farther below the water surface than - 12 feets

Hence, Ana is farther below the sea level than Chuyen

find the square root of 7921 ?​

Answers

Answer:

±89

Step-by-step explanation:

..................

Please help quick I have other question if you don't know this one

Answers

all of them represent functions except for the one on the far left, because of the vertical line test.

Order the following numbers from least to greatest (15 Pts)

Answers

Answer:

-5.1 , -14/3, -4

Step-by-step explanation:

In the negative side of the numberline -5 is lesser than -14/3 and -4.

Also -14/3 is aproximatedly -4. 6. so its less than -4

Answer:

1. -5.1

2. - 14/3

3. -4

Explanation:

- 14/3 is equal to -4.6 repeating. We can check this by dividing 14 by 3 and adding the negative sign. So -4 is the greatest number of the numbers, and -5.1 is the least since it is the most of the negative numbers. - 14/3 would go in the middle because it isn't greater than -4 nor less than -5.1.

Hope this helps!

I hope I explained well!

Please help me with this

Answers

Answer:

A

Step-by-step explanation:

HURRYYYYY!!!
If f(x) = |x + 7| find f(-12).

Answers

The answer is 5. |-12+7| =|-5|=5

A shop keeper purchased 200 bulbs for Rs.10 each. However 5 bulbs were fused and had to
be thrown away. The remaining were sold at Rs.12 each. Find the gain or loss %

Answers

Answer: 17%

Step-by-step explanation:

A shop keeper purchased 200 bulbs for Rs.10 each. Therefore, the cost price:

= 200 × 10

= 2000

Since 5 bulbs were fused and had to

be thrown away and the remaining were sold at Rs.12 each. Therefore, selling price would be:

= 195 × 12

= 2340

Gain would be:

= 2340 - 2000

= 340

Gain percent would be:

= Gain / Cost price × 100

= 340/2000 × 100

= 17%

what is the answer?????????????????????????????????????

Answers

Answer:

A

Step-by-step explanation:

I’d appreciate an answer ;)

Answers

Answer: Hope you have a good day or night!

Step-by-step explanation:

Solve for x and all the missing angles.
(-11+3y)
(34+Y)
(37+y)°

Answers

Answer:

y=24; Angle 1: 61 degrees; Angle 2: 58 degrees; Angle 3: 61 degrees

Step-by-step explanation:

-11+3y+34+y+37+y=180   The sum of all the angles in a triangle is 180 degrees.

60+5y=180  Combine like terms

5y=120  Subtract 60 from 180

y=24   Divide 120/5

Angle 1: -11+ 3(24)= 61 degrees

Angle 2: 34+24=58 degrees

Angle 3: 37 + 24= 61 degrees

Carly walked to school on 12 of the 20 school days in February. Which value is equivalent to the fraction of the school days in February that Carly walked to school?

Answers

Answer:

12/20

Step-by-step explanation:

ANSWER IF YOU HAVE SOLUTION OR ELSE YOU WILL BE REPORTED!
40% of the employees at a large corporation are female. A sample of 50 employees is taken and gender is recorded. What is the probability of a sample proportion of females in the sample between
.35 and .45?
a) 0.0693 b) 0.2649
c) 0.5284 d) 0.72
Kindly explain it too with solution
will give you brainliest for correct answer

Answers

Answer:

c) 0.5284

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:

[tex]z=\frac{p_s-p}{\sigma_p} \\\\where\ p_s=sample\ proportion,p=population\ proportion,\\\sigma_p=standard \ error=\sqrt{ \frac{p(1-p)}{n}},n=sample\ size\\\\ z=\frac{p_s-p}{\sqrt{ \frac{p(1-p)}{n}}} \\\\Given \ that\ n=50,p=40\%=0.4\\\\For\ p_s=0.35:\\\\z=\frac{0.35-0.4}{\sqrt{\frac{0.4(1-0.4)}{50} } } =-0.72\\\\For\ p_s=0.45:\\\\z=\frac{0.45-0.4}{\sqrt{\frac{0.4(1-0.4)}{50} } } =0.72[/tex]

Hence from the normal distribution table, P(0.35 < x < 0.45) = P(-0.72 < z < 0.72) = P(z < 0.72) - P(z < -0.72) = 0.7642 - 0.2358 = 0.5284

If white light is made up of all colors, how can you tell what color an object is.

Answers

Answer:

See explanation

Step-by-step explanation:

White light is composed of seven different wavelengths. This can easily be established by using a prism to separate the various wavelengths that constitute white light.

How come we get to tell if an object has a particular colour? We get to know colours because the observed colour of an object is the wavelength that is reflected by that object.

An object that absorbs all other wavelengths in the spectrum of white light but reflects red light will appear red to the eye.

Please help me please!!

Answers

Answer:

(2) f(-2) = 3

Step-by-step explanation:

[tex]f(n)=(n-1)^2+3n[/tex][tex]f(-2)=(-2-1)^2+3(-2)[/tex][tex]f(-2)=(-3)^2+(-6)[/tex][tex]f(-2)=9-6[/tex][tex]f(-2)=3[/tex]

the lamp is $10 and the sales tax is 5% whats the total cost of the lamp

Answers

Answer:

10.50

Step-by-step explanation:

Answer:

10.50

Step-by-step explanation:

multiply 10 by .5 and you get 50cents so add that to 10 and you get 10.50

if g(x) = 8x -20, find g(-4)

Answers

Answer:

g(-4)= -52

Step-by-step explanation:

g(x) = 8x -20

Substitute -4 for x

g(-4) = 8(-4) -20

g(-4) = -52

Other Questions
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