A modern sculpture in a park contains a parabolic arc that
starts at the ground and reaches a maximum height of 10 feet after a
horizontal distance of 4 feet. Write a quadratic function in vertex form
that describes the shape of the outside of the arc, where y is the height
of a point on the arc and x is its horizontal distance from the left-hand
starting point of the arc.

Answers

Answer 1

Using the vertex form, the equation of the parabola is given by:

[tex]y = a(x - 4)^2 + 10[/tex]

The equation of a parabola, with vertex (h,k), is given by:

[tex]y = a(x - h)^2 + k[/tex]

In which a is the leading coefficient.

In this problem, it reaches a maximum height of 10 feet after a  horizontal distance of 4 feet, hence, the vertex is (4,10), that is, [tex]h = 4, k = 10[/tex]. Then, the equation for the parabola is:

[tex]y = a(x - 4)^2 + 10[/tex]

A similar problem is given at https://brainly.com/question/15165354


Related Questions

Find the measure of each angle indicated.

Answers

Answer:

alot of 5

Step-by-step explanation:

Is -5/2 greater than 3?

Answers

Answer:

No -5/2 is not greater than three.

Step-by-step explanation:

You could solve this without doing any math. You know that a negative divided by a positive is still a negative and that negative numbers are never greater than positive numbers so therefore you got the answer. No, -5/2 is not greater than positive 3.

Answer:

No

Step-by-step explanation:

[tex]-\frac{5}{2}[/tex] is not greater than 3; it is less than 3. Positives are greater than negatives. To know if an integer is negative, you should see something like this: - in front of the number.

Positive integers don't have a plus sign in front of it because we already assume it is there.

Among all the paintings in an art exhibit, 60% are oil paintings, and the remaining 40% are watercolor paintings. Among the oil paintings, 5% of them are abstract. Among the watercolor paintings, 10% of them are abstract. What percent of the paintings in the art exhibit are abstract? I give thanks!

Answers

Answer:

7%

Step-by-step explanation:

help!!!


i will give a brainliest!!

Answers

Answer: is 1 and 3

Step-by-step explanation:

Rearrange v=u+at to make t the subject of formula.
A. t=(u-v)/(a)
B. t=(v-u)/(a)
C. t=(u+v)/(a)
D. t=(v+u)/(a)

Answers

Answer:

t=(v-u)/a

hope it will help you

10) Consider two lines. Line A is given by the function f(x) = 4x − 9, while Line B contains the points (0, 5) and (2, 12). Which statement is true? A) Line A and Line B have the same slope. B) Line A has a greater slope than Line B. C) Line B has a greater slope than Line A. D) Line A slope is less than the slope of Line B.

Answers

Answer:

B) Line A has a greater slope than Line B.

Step-by-step explanation:

When looking at [tex]f(x)=4x-9[/tex] is basically the same way of saying [tex]y=4x-9[/tex]

which is in slope-intercept form. Because of that, we know that the slope of line A is 4.

To find the slope of line B we have to use the slope formula

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]m=\frac{7}{2}[/tex] as a decimal [tex]m=3.5[/tex]

So line A slope = 4 and line B slope = 3.5

Which makes line A slope greater than line B slope

$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will the job take? Write an equation and explain how you used it to find the number of hours the job will take.

Answers

Answer:

(136.60 - 61.60) / 30 = 2.5 hours

Step-by-step explanation:

First, subtract the cost of parts from the total: 136.60 - 61.60 = 75

Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5

The maximum land speed of a cheetah is about 120km/hour.
What is this speed limit, rounded to the nearest whole number, in m/s?

Answers

Answer:

  33 m/s

Step-by-step explanation:

  120 km/h × (1 h)/(3600 s) × (1000 m)/(1 km) ≈ 33 m/s

_____

Additional comment

In general, units conversion is done by multiplying by a factor whose numerator and denominator have equal values, but different units. The units in that fraction need to be arranged to cancel the units you don't want and leave the units you do want.

opposite reciprocal of 1/3

Answers

Answer:

-1/3

Step-by-step explanation:

hope this helps

triangle interior angles theorem
answer and explain briefly

Answers

Answer:

x=62

Step-by-step explanation:

(x+1)+ x+55=180

-55               -55 (take away the 55)

(x+1)+ x= 125 (take out of parenthesis)

x+1+ x= 125

2x+ 1= 125  (add the two x's together)

-1         -1        (take away the one)

2x= 124  (divide by 2)

     2

x=62

How to tell if a piecewise function is differentiable.

Answers

Answer:

So what we're going to do is now take the so drdx of negative 3x plus 1 is equal drdx of x squared

Step-by-step explanation:

please answer this for me!!​

Answers

Answer:

x = 40

y = 8

Step-by-step explanation:

3x-9 = 2x+31

3x-2x = 31+9

x = 40

4y+5 = 2y+21

4y-2y = 21-5

2y=16

y=8

Round 2,861 to the nearest hundred

Answers

2,900

hope this helps

Hey there!

2,891

= 200,000 + 800 + 90 + 01

= two-hundred thousand, eight hundred ninety one

Thousand:

2,000

Hundred:

900

Tens:

90

Ones:

1

Based on that information we can answer your question

SIMPLIFY IT

ANSWER: 2,900

[2,000 + 900 + 0 + 0]

[two thousand + nine hundred]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

a private and a public university are located in the same city. for the private university, 1046 alumni were surveyed and 653 said that they attended at least one class reunion. for the public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion. is the difference in the sample proportions statistically significant at the 1% level?

Answers

Using the z-distribution, it is found that since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.

At the null hypothesis, we test if the proportions are the same, that is, their subtraction is 0, hence:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:

[tex]H_1: p_1 - p_2 \neq 0[/tex]

The proportions and their respective standard errors are given by:

[tex]p_1 = \frac{653}{1046} = 0.6343, s_1 = \sqrt{\frac{0.6343(0.3657)}{1046}} = 0.0149[/tex]

[tex]p_2 = \frac{791}{1327} = 0.5961, s_2 = \sqrt{\frac{0.5961(0.4039)}{1327}} = 0.0135[/tex]

For the distribution of the difference, the mean and the standard error are given by:

[tex]\overline{p} = p_1 - p_2 = 0.6343 - 0.5961 = 0.0382[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0149^2 + 0.0135^2} = 0.0201[/tex]

The test statistic is:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which [tex]p = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.0382 - 0}{0.0201}[/tex]

[tex]z = 1.9[/tex]

The critical value for a two-tailed test, as we are testing if two values are different, with a significance level of 0.01, is of [tex]|z^{\ast}| = 2.576[/tex]

Since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.

A similar problem is given at https://brainly.com/question/25728144

En la figura, BE y AD son segmentos, AB = 4 y AC = 3. Se puede determinar el perímetro del triángulo
CDE si:

Answers

Answer:

AD=7,BE=6,AB=4,AC=3.

what is 90 plus 60 plus 7x-12

Answers

[tex]90+60+ 7x -12 = 7x+138[/tex]

pls help 3 x 2 + 6 (4+1) = ???

Answers

Answer:

17 IS THE ANSWER......................

Answer:

Your answer should be 36.

pls help i dont get it

Answers

Answer:

Step-by-step explanation: it’s 41%

A group spends $277.50 to rent a total of 15 tubes. How many of each type of tube does the group rent?

Answers

The amount spent on each tube is $18.5

The total amount spent to rent 15 tubes by the group is $277.50.

Since they did not specify in the question the types of tubes they rented, we cannot determine each types of tubes that the group rented but we can determine the amount spent on each tube provided that they are all the same types.

if 15 tubes = $277.50

1 tube = $x

By cross multiplying:

[tex]\mathbf {\$(x) = \dfrac{ \$277.50 \times 1 \ tube }{15 \ tube}}[/tex]

[tex]\mathbf {(x) = \$18.5}[/tex]

Therefore, we can conclude that the amount spent on each tube is $18.5

Learn more about arithmetic operations here:

https://brainly.com/question/15385899?referrer=searchResults

Evaluate the following formula for

Please help
I will mark as brainliest if its correct :)



NO LINKS YOU WILL BE REPORTED AND BANNED MARK MY WORD

Answers

Answer:

Step-by-step explanation:

Using provided formula and filling in the variables:

z = [tex]\frac{(0.6-0.7)-(0)}{\sqrt{\frac{0.615782*0.384218}{88}+\frac{0.615782*0.384218}{82} }}[/tex]

Filling in in calculator:

z ≈ -1.34

can i have help please

Answers

(y + 1)^3 would just be dividing the two

If you want it completely simplified, then it’s the following:

(y + 1)(y + 1)(y + 1)

= y^2 + y + y + 1 (y + 1)

= y^2 + 2y + 1 (y + 1)

= y^3 + y^2 + 2y^2 + 2y + y + 1

= y^3 + 3y^2 + 3y + 1

expand the expression, image attached giving brainliest please help

Answers

(2m + n) (2n -m)

2m×2n-2m×m+n×2n-mn

4mn-2m^2 +2n^2-mn

4mn-mn-2m^2+2n^2

3mn-2m^2+2n^2

HELP *picture inserted*

Answers


The answer is b……..

Help me guys!

Fill in the table using this function rule.

y = -2x+3

Answers

Y=-2(-6)+3
Y=12+3
Y=15

Y=-2(-3)+3
Y=6+3
Y=9

Y=-2(0)+3
Y=0+3
Y=3

Y=-2(3)+3
Y=-6+3
Y=-3

Y=15
Y=9
Y=3
Y=-3

what are possible ratios for 16 to 32

Answers

Answer:

1:3

Step-by-step explanation:

To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.

The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2

Hope it helps

6 weeks to 12 days answer?

Answers

Are you looking for a ratio?

Graph: y < 1/3x+1/2 can someone graph this on a actual graph for me

Answers

Answer:

here you go

Step-by-step explanation:

i have added y < 1/3x+1/2  --> this shows more of range so i also attached what  y = 1/3x+1/2 would look like

next time use this -

search up: desmos graphing calculator

(1/3)^-2 + (1/4)^-2 = (125)^x
Find the value of x?

Answers

Given that :(1/3)^-2 + (1/4)^-2 = 125^x

⇛[1/(1/3)]²+[1/+1/4)]² = 125^x

Since a^-n = 1/a^n

⇛ (3)²+(4)² = 125^x

⇛ (3×3)+(4×4) = 125^x

⇛ 9+16 = 125^x

⇛25 = 125^x

⇛ 5² =( 5³)^x

⇛ 5² = 5^(3x)

Since (a^m)^n = a^mn

⇛ 2 = 3x

Since the bases are equal then exponents must be equal

⇛3x = 2

⇛ x = 2/3

Therefore,x = 2/3

Answer:- The value of x for the given problem is 2/3.

also read similar questions:- evaluate 1. 5x = 125(x-2) 2. 2(x + 3) = 4 (x + 4)..

https://brainly.com/question/25473629?referrer

1 point
10. Lisa owns a small business. There was a loss of $14 on Monday and a
profit of $18 on Tuesday. On Wednesday there was a loss of $6 and on
Thursday there was a profit of $7. Find the total profit or loss.*
$15 profit
$45 loss
$5 profit
$10 profit

Answers

Answer:

$5 in profit

Step-by-step explanation:

simple math

Mon: -$14
Tues: $18
Wens: -$6
Thurs: $7
-14+18=4
4 - 6 = -2
-2 + 7 = 5
$5 profit

Answer Please will give brainliest.

Answers

Step-by-step explanation:

blue is natural: 1, 4, 0, 2 and root of 25.

green is whole: -9 and -15.

yellow is rational: 2/3

orange is irrational: pi and root of 15.

white is real numbers.

don't know about that purple one.

Other Questions
Pls hurry!!!!!!!!!!!!!!!!!!!!!!!!! Which phrase best describes a recitative?A. a catchy tune with full orchestra accompanimentB. a style of singing that closely resembles speechC. an accompanying solo voice piece with a strong melody lineD. a brief orchestral phrases between singing a catchy tune Can someone help me explain Nvm scheduling in operating systems? How many moles of methane are produced when 25. 1 moles of carbon dioxide gas react with excess hydrogen gas. button. Tests are automatically saved in case of internet disruption.Language: English Espaol6)A student observes a cell under a microscope. The cell contains chromosomes that show up inside of a nucleus surrounded by anenvelope. Based on the infon nation here, the student was able to determine whether the cell was prokaryotic or eukaryotic. Aftermaking the distinction, the student could assume the cell came from certain cell types. From which potential organism(s) was thiscell-derived? Select ALL that apply.A)plant cellB)animal cellfungal cellD)bacterial cellE)methanogenic Archaea cell2 Designs for frescoes and tapestries are called Which of the following states did not ratify the constitution in the first three months of delegations? Your best friend has been hospitalizedWrite a letter to tell him or her three things goingOn in yourSchool. tammy has soccer practice every 12 days, basketball 18 days, band practice 20 days, and music class every 24 days. If she has all these practices on the same day today, then how many days will it be until she has all four practices. a.Write the equation in slope intercept form of a line that goes through the points(-7, 10) and (1,4). Hint: once you find m, you will need to solve for b Which of the following triangles could lie on the graph with the same rise over run in Question # 3?A. A triangle with a rise of 10 and a run of 30B. A triangle with a rise of 30 and a run of 10C. A triangle with a rise of 10 and a run of 40D. A triangle with a rise of 2 and a run of 5 What is the solution to the equation 1/4x3/4=1/2, given the replacement set {1, 1, 5} ? What si conjunction?? WHAT IS UNDERCOVER ASSIGNMENT The table below shows the incomplete values as y varies directly asx. Calculate the missing values.y =10 20_x =5_ 2 What is "four times the sum of x and y" in a mathematical phrase?. What is the equation of the line that passes through the point (6,-4)( and has a slope of -2/3? help me please with math prob N.O L.I.N.K.S*I need an example of an introduction for a research paper* During the Gilded Age, how did the US Congress act to regulate business practices? Congress passed laws that supported laissez-faire policies to help businesses grow. Congress was concerned about workers, so they passed laws that guaranteed a minimum wage. Congress did not pass laws that would control the growth of monopolies. Congress passed laws that ensured workplace safety.