In 1895, a brick arch railway bridge was built on North Avenue in Baltimore, Maryland. The arch is described by the equation h = 9 −1/50x², where h is the height in yards and x is the distance in yards from the center of the bridge.

a. Graph this equation on your calculator and describe, to the nearest yard, where the
bridge touches the ground.

Answers

Answer 1

Answer:

21.213

or

(21.213,0)

Step-by-step explanation:

y-intercept = 9

slope= -1/50x^2

I graphed it and it was a parabola and it hit the ground at this coordinate (21.213,0)


Related Questions

What is the length of EF in the right triangle below? E 39 A D 15 F
A. 585
B. 576
C. 1296 D. 24
E. 36
F. 54​

Answers

Answer:

E. 36

Step-by-step explanation:

You have to do a² + b² = c²

Plug in

15² + b² = 39²

225 + b² = 1521 (subtract 225 on both sides)

√b² = √1296 (square root on both sides)

b = 36

Hope this helps ya!

The length of the EF in the right-angle triangle is 36 units if the length of DF is 15 units the length of DE is 39 units option (E) is correct.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right angle triangle shown in the picture.

The length of DF = 15 units

The length of DE = 39 units

As we know, Pythagoras' theorem can be defined as the square of the hypotenuse in a right-angled triangle equal to the sum of the squares of the other two sides.

Applying Pythagoras theorem:

DE² = DF² + EF²

Plug the known values:

39² = 15² + EF²

1521 = 225 + EF²

EF² = 1296

EF = √1296

EF = 36 units

Thus, the length of the EF in the right-angle triangle is 36 units if the length of DF is 15 units the length of DE is 39 units option (E) is correct.

Learn more about the right-angle triangle here:

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Whats the volume of 12yd 15yd and 12yds?

Answers

Answer:  2160 cubic yards

Step-by-step explanation:

12*12*15= 2160

The sum of two numbers is 22 and the sum of their squares is 250. Find the numbers

Answers

Answer:

9 and 13

Step-by-step explanation:

Answer:

13 and 9

Step-by-step explanation:

sum of num: 13+9 = 22

sum of square: 13²+9² = 250

169+81 = 250

find the value of x that would prove y/z State the converse used to support your answer.

Answers

Answer:

x=6

alternative exterior angles

Step-by-step explanation:

to prove y and z parallel then the two angles must be equal:

11x-3=4x+39

11x-4x=39+3

7x=42

x=42/7

x=6

Given the statement "If there is a lightning storm, then we won’t go swimming,” which is the contrapositive?

If there is not a lightning storm, then we will go swimming.
If there is not a lightning storm, then we won’t go swimming.
If we go swimming, then there will not be a lightning storm.
If we don’t go swimming, then there will be a lightning storm.

Answers

conditional statement = if p, then q
contrapositive = if ~q, then ~p

therefore, the answer is

if we go swimming, then there won’t be a lightning storm

<3

3. <JKL and <RST are complementary. m<JKL = 36° and m<RST = (x + 15)°. Find the value of x and the measure of <RST. Find the value of "x"
= 36
= 51°
= 39
= 15"​

Answers

Step-by-step explanation:

=51

do this to get brainiest!

(click on the image to see clearly)

Answers

Answer:

8) 4(n)+12

9) 21 + 4(m) + (2(m)+7)

10) 3 (S+21)

Step-by-step explanation:

I did this quickly, hopefully they are correct. May not be the same format as you wish (especially for 9)

Think of a situation when someone would need to make a measurement with
extreme precision. Describe the setting, why the measurement must be so
precise, and some of the consequences that might occur if it were not precise.

Answers

Answer:

a

Step-by-step explanation:

aa

Carolina goes to a paintball field that charges an entrance fee of \$18$18dollar sign, 18 and \$0.08$0.08dollar sign, 0, point, 08 per ball. The field has a promotion that says, "Get \$10$10dollar sign, 10 off if you spend \$75$75dollar sign, 75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.

Let BBB represent the number of paintballs that Carolina buys.

Answers

Answer:

18 + 0.08B ≥ 75

Step-by-step explanation:

18 + 0.08 ≥ 75subtract 18 0.08B ≥ 57divide by 0.08 B ≥ 712.5

Write a polynomial function that has the given zeros.
-3,3, 2/3

Answers

Answer:

Step-by-step explanation:

y = (x + 3)(x - 3) ( x - 2/3)

y = (x + 3)(x - 3) (3x - 2)

The key point you want to study is that (3x - 2) does give a solution at x = 2/3. That's why I made the graph.

What is the slope and Y intercept?

Answers

Answer:

the y intercept is where is starts (up and down) slope is how much you run up, or down and how much you run

Step-by-step explanation:

For example the third croses at 5 thats the y-intercept. Know notice how you go up once and run two blocks for the slope. So the slope is 1/2x.

Answer for #3 y=1/2x+5

Note. Anytime you are running down the slope will be negative. If the line points up then its positive.

Answers should be in this form: 1) positive 2. negative 3. positive 4. negative 5. positive 6. negative

Answer:

1. slope = 4 over 2(2), y int = -8

2. slope = 2 over 3 , y int = 2

3. slope = 3 over 6(1/2), y int = 5

4. slope = 1 over 3, y int = -3

5. slope = 3 over 3(1) ,y int = 0

6. slope = 2 over 3 ,y int = -4

Step-by-step explanation:

The numbers in the () is the simplified slope version if there is no () it cannot be simplified

After checking out some books from the school library, you step off to the side to wait for your friends to check out their books. Suddenly, the lights flicker, and a voice comes on over the intercom.

The library is closed indefinitely unless you and your friends can escape the library and open it back up for everyone to use. You must find the codes by solving the prompts. When you have all the codes, the library will be open for everyone again!

Answers

Answer:

That sounds like an awesome book idea; then you go on to explain the adventures in the library.

Step-by-step explanation:

Answer:

What are the codes....or are you just putting that out there?

Step-by-step explanation:

Hey can someone pls help me will give brainliest I will be very grateful thx!!!!

Answers

Answer:

17) 4 inches

18) 14 inches

19) 162 inches

20) 30 inches

Step-by-step explanation:

For the first two, you use the formula  π× (radius)². Since you have the area, divide it by two then find the square root. For the second two, you just divide the by pi.

Answer:

17) D=4in

18)D=14yd

19)D=162yd

20)D=30yd

Step-by-step explanation:

17)

[tex]d = 2 \times \sqrt{4} = 4[/tex]

You bought a magazine for $6 and 4 candy bars. If you spent a total of $14, how much did each candy bar cost?

Answers

Answer:

2$

Step-by-step explanation:

first you need to subtract the cost of the magazine from the total. now you have 8$ left, divide this by the number of candy bars, 4, and you get 2$.

don't forget to add the dollar sign, it might save you points

A player throws a football across the field. The equation h (x) = -16t^2 + 44t + 3.5 models the height, h, in feet, of the football as a function of time. t, in seconds. Ivan claims the football was thrown from an initial height of 3.5 feet with an initial velocity of 16 feet per second. Complete the statement to explain why ivan is incorrect

Answers

Answer:

A quadratic equation for the height of an object is written as:

h(t) = a*t^2 + b*t + c

We can derivate it with respect to the time to get the velocity:

v(t) = 2*a*t + b

We can derivate it with respect to the time to get the acceleration:

a(t) = 2*a

Then:

a = half of the acceleration. (the gravitational acceleration for problems like this)

b = initial vertical velocity.

c = initial height.

In our case we have:

h(t) = -16t^2 + 44t + 3.5

-16 is half of the acceleration, we know that the gravitational acceleration is:

g = 32ft/s^2, and we have a negative sign because the gravity pullls the ball downwards.

44 is the initial vertical velocity of the ball  (44ft/s)

3.5 is the initial height. (3.5ft)

Then the statement of Ivan is incorrect because the 16 does not represent the initial velocity

PLEASE HELP ME THIS IS MOST OF MY GRADE. I PUT 100 POINTS. SERIOUS ANSWERS ONLY. I WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

hehe good luck loser T^T

Answer:

1. Cheese burger, French fries (regular), Ice cream (regular), any of the beverages.

2. Fried Chicken, Macaroni soup, Mango pie, any of the beverages.

3. Cheese burger, French fries (regular), Ice cream (regular), any of the beverages, because, there are going to be 40 guests and that are a lot of people to feed so I would rather spend more money than on some random people who come to my 2 year old son.

4. PhP 222.2 repeated

Step-by-step explanation:

y is directly proportional to x. when x = 8, y = 20. determine the value of y when x = 3​

Answers

Step-by-step explanation:

y is directly proportional to x

y = kx

k represents the constant of proportionality.

when y = 20 and x = 8:

20 = 8k

Dividing both sides by 8 gives:

k = 2.5

Hence when x = 3.

y = 2.5(3)

y = 7.5 .

The value of y when x=3 is 7.5

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

y is directly proportional to x.

and, when x = 8, y = 20.

So, using proportion

8/20 = 3/y

8y = 60

y= 60/8

y= 7.5

Hence, the value of y is 7.5

Learn more about proportion here:

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ASAP Help!!! Will give brainiest to first correct answer!

Answers

Answer:

D:2^5/12 or 1.33483...

Step-by-step explanation:

Hope This Helps!

Answer:

I am sorry I don't Understand!

Sorry I couldn't help!

Step-by-step explanation:

PLS HELP ASAP, I HAVE A D IN THIS CLASS

Answers

I THINK its all real numbers like why else it there and i dont se nun that equal to 0

Step-by-step explanation:

there are 32 radios , 8 of them are out of order. what percent of radios are out of order ?

Answers

Answer:

25%

Step-by-step explanation:

8÷32

=0.25 x 100

=25%

Answer:

            25%

Step-by-step explanation:

[tex]\dfrac{8}{32}\cdot 100\%=\dfrac14\cdot 100\%=25\%[/tex]

pls help!!

A chest was resting on the ocean floor 500
feet below the surface. It was lifted to the deck of a ship 16 feet above the surface. How far was the chest lifted?

I need you to :
Define the variable
Write the equation
& The solution.

Answers

Answer:

I don't know about the variable but I believe that the equation is -500+516=16 and the solution is 16

Step-by-step explanation:

The graph of a linear function is shown on the grid.
Which equation is best represented by this graph?
Ay+ 7-3(x-4)
B Y + 1 = -3(x + 2)
Cy- 4 = 3(x + 7)
Dy - 2 - 3(x - 1)

Answers

Answer:

Option (A)

Step-by-step explanation:

Let the equation of the line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Slope of the line passing through two points (0, 5) and (4, -7),

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   = [tex]\frac{5+7}{0-4}[/tex]

   = -3

As slope of the line is negative, Options (A) and (B) will be the possible options.

Therefore, equation of the line passing through (4, -7) will be,

y - (-7) = -3(x - 4)

y + 7 = -3(x - 4)

Therefore, Option (A) will be the correct option.

Answer:

A

Step-by-step explanation:

Does this graph represent a function? Why or why not?
10
10
A. No, because it is not a straight line.
B. Yes, because it passes the horizontal line test.
c. Yes because it passes the vertical line test
D. No, because it fails the vertical line test.

Answers

Answer:

No because it does no pass the vertical line test

Step-by-step explanation:

find the value of x that makes m||n

Answers

Answer:

x = 6

Step-by-step explanation:

In order for m to be parallel to n 16x - 6 would have to equal 90. We can demonstrate that using an equation.

16x - 6 = 90

Let's solve for x:

First add 6 to both sides to isolate the 16x:

16x - 6 + 6 = 90 + 6

16x = 96

Now divide both sides by 16 to isolate the x:

16x/16 = 96/16

x = 6

The value of x has to be 6 in order for m to be parallel to n.


[tex] \frac{ \sqrt{7} }{ \sqrt{12 - 2 \sqrt{35} } } + \frac{ \sqrt{5} }{ \sqrt{12 + 2 \sqrt{35 } } } [/tex]
can someone help? please​

Answers

Answer:

6.91607978

Step-by-step explanation:

The difference between the record high and low temperatures in Charlotte, NC, is 109℉. The record low temperature was −5℉. What was the record high temperature?

Answers

Answer:

[see below]

Step-by-step explanation:

The difference between the record high and low temperatures in Charlotte is 109℉.  We are given the record low temperature of -5℉.

[tex]h - 5 = 109[/tex]

Let 'h' be the high temperature.

[tex]h-5=109\\\\h-5+5=109+5\\\\\boxed{h=114}[/tex]

Hope this helps.

If The difference between the record high and low temperatures in Charlotte, NC, is 109℉. The record low temperature was −5℉.Then 104 ℉  was the record high temperature.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

The difference between the record high and low temperatures in Charlotte, NC, is 109℉.

The record low temperature was −5℉.

We need to find record high temperature

H-(-5)=109

H+5=109

H=109-5

H=104

Hence the record high temperature is 104.

To learn more on Equation:

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Please help me

Mariah earns $32.75 per week working as a pet sitter. She worked as a pet sitter for 2 weeks. She previously saved $70.99 in allowance money. She spent $12.25 of her total earning to buy video games. Mariah put 1 over 4 of the remaining money in her savings account. Mariah used the following steps to find the total money she put in her savings account:

Step 1: [($32.75 ⋅ 2) + $70.99 − $12.25] ⋅ 1 over 4

Step 2: [$65.5 + $70.99 − $12.25] ⋅ 1 over 4

Step 3: $136.49 − $3.0625 = $133.4275

In which step did Mariah first make an error? Explain, using words, how Mariah can correct her error.

Answers

Answer:

1) Step 3: S = $136.49 - $3.0625 × 1/4

2) By completing the operations within the parenthesis in Step 2, before multiplying the result by 1/4

Step-by-step explanation:

1) From the given information, we have;

The amount amount Maria earns as a pet sitter = $32.75

The number of weeks Maria worked as a pet sitter = 2 weeks

The amount Mariah previously saved = $70.99

The amount Maria spent = $12.25

The amount Mariah put in her savings account = 1/4 of the remaining (balance) money

Therefore, we have;

The amount placed in Mariah's savings account, S, is given as follows;

Step 1: S = [($32.75 × 2) + $70.99 - $12.25] × 1/4

Step 2: S = [($65.5 × 2) + $70.99 - $12.25] × 1/4

Step 3: S = [($136.49) - $12.25] × 1/4

Step 4: S = $124.24 × 1/4

Step 5: S = $31.06

The amount Mariah puts in her saving's account = $31.06 and the step Mariah first makes an error is Step 3 where what she put down was as follows;

Step 3: S = $136.49 - $3.0625 × 1/4

2) She can correct the error by completing the calculation of the operation within the parenthesis in Step 2, before multiplying by the factor 1/4.

Train A leaves a station 45 minutes before train B. Both trains travel in the same direction and their speeds are 36km/h and 48km/h respectively.
i) How long will it take train B to catch up with train A? ii) How far from the start were the two trains when they met

Answers

Answer:

Train B catches up with train A at 2.25 h

The two trains meet at 108 Km from the start

Step-by-step explanation:

Relative Speed

There are two trains, A and B leaving the same station. Train A leaves 45 minutes before train B at va=36 Km/h. Train B travels at vb=48 Km/h in the same direction, so they eventually meet.

i)

Calculate the head start of train A Xh, i.e. the distance it traveled in 45 minutes = 45/60=0.75 h.

[tex]X_h=36*0.75=27~Km[/tex]

When train A is 27 Km ahead, train B leaves the station. The relative speed between them is vb-ba=48 - 36 = 12 Km/h.

Thus, for train B to meet with train A, the head start must be traveled at the relative speed.

The time needed to do that is:

[tex]\displaystyle t=\frac{27~Km}{12~Km/h}[/tex]

t = 2.25 h

Train B catches up with train A at 2.25 h

ii) In the time calculated above, train B has traveled a distance of:

[tex]X_b=48~Km/h*2.25~h=108~Km[/tex]

The two trains meet at 108 Km from the start

Plz answer if uk theses answer

Answers

multiply 4 and 2 and then divide it by 4 1/2


O A. 12x + 20 = 180
O B. 12x = 180
O C. 12x - 20 = 180
D. 8x - 10 = 4x + 10

Answers

It’s B the answer is B

Answer:

Answer B. 12x = 180

Step-by-step explanation:

Angles in a Triangle

The sum of the interior angles in a triangle is 180°.

We are given all the angles of the triangle shown in the figure, all of them as a function of x.

Since the sum is 180°:

2x + 4x + 10 + 6x - 10 = 180

Collecting like terms:

12x = 180

This is the equation to find the value of x.

Answer B. 12x = 180

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