1) WET SURPRISE A water balloon is launched off of a patio. The path of the water
balloon can be modeled by h(t) = -6t2 + 13t + 5, where h(t) is the balloon's height in feet and t is the time in seconds after the balloon is launched.
a. How long will it take for the balloon to splat on the ground?

Answers

Answer 1

The function of the water balloon is an illustration of a quadratic function.

The balloon will splat on the ground after 2.5 seconds

The function is given as:

[tex]h(t) = -6t^2 + 13t + 5[/tex]

When the balloon splats on the ground, the value of h(t) is 0.

So, we have:

[tex]-6t^2 + 13t + 5 = 0[/tex]

Expand the expression

[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]

Factorize the above expression

[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]

Factor out 2t - 5 in the 2t - 5

[tex](-3t - 1)(2t - 5 )= 0[/tex]

Split the equation into 2

[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]

Rewrite as:

[tex]-3t = 1\ or\ 2t = 5[/tex]

Solve for t

[tex]t = -\frac 13\ or\ t = \frac 52[/tex]

The value of t cannot be less than 0 i.e. negative.

So, we have

[tex]t = \frac 52[/tex]

Divide 5 by 2

[tex]t = 2.5[/tex]

Hence, the balloon will splat on the ground after 2.5 seconds

Read more about quadratic functions at:

https://brainly.com/question/11631534


Related Questions

plz answer!!!!!!!!!!!!!!​

Answers

Answer:

7

Step-by-step explanation:

i know

Maria walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes. If she continues to alternate walking and running at the same paces, how many laps will she complete in 16 minutes?

Answers

Answer:

8 laps

Step-by-step explanation:

every 8mins 4 laps are run

Maria completed a total of 8 laps in 16 minutes.

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Maria who walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes.

Assume that she completes [x] laps in 16 minutes.

x = L[walking] + L[Running]

x = (2 + 2) + (2 + 2)

x = 8

Therefore, Maria completed a total of 8 laps in 16 minutes.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

is this correct ? if not what’s the correct answer?

Answers

Answer:

yes

Step-by-step explanation:

equivalent expression for: 3(1-7)

Answers

Answer:

Multiply the number in the parantheses by 3. Then subtract them.

Step-by-step explanation:

HELPPP 20 PNTS---- CHOOSE THE WRITE ANSWER!!!!

Answers

Answer:

B. is correct answer I think so

Step-by-step explanation:

i need help please

plz mark me as brilliant

my Christmas present to you​

Answers

Answer:

thankss

Step-by-step explanation:

Hayar el patrón 7103425320;_________;7103676328;7103801823

Answers

Don’t understand this question your trying to ask

How far dose a kangaroo travel in 2 minutes

Answers

According to my knowledge, kangaroo travelers 1.3 kilometers in 2 minutes

the current temperature in small town is 20 degrees fahrenheit this is 6 degrees less than twice the temperature that it was 6 hours ago

Answers

20 +6= 26 26 x2 =52 so it is 52 degrees 6hrs ago

combine over common denominator 2/3a + 1/3 - 4/a

Answers

It’s would be 3a


Mark as brainliest

Matilda earns 48$ in 4 hours, How many hours does it take her to earn 288$?

Answers

Answer:

24

Step-by-step explanation:

If Matilda earns $48 in 4 hours, then she must earn 48/4 (12) dollars per hour. We know she earns $12 per hour, and that she made $288, so we divide the total amount earned (288) by her hourly wage ($12) to find she worked 288/12 or 24 hours.

Matilda will earn $288 in 24 hours.

What are word problems?

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given is that Matilda earns $48 in 4 hours.

Let us assume that it will take her {x} hours to earn $288.

Then, we can write -

there is earning of $48 in 4 hours.

so, there will be earning of $1 ins (4/48) or (1/12) hours.

hence, she will earn $288 in (1/12 x 288) or 24 hours.

Therefore, Matilda will earn $288 in 24 hours.

To solve more questions on equation modelling, visit the link below -

brainly.com/question/29299318

#SPJ2

Plxzzz plzzzzzznhelp meeee

Answers

Answer: A. An infinite number of diameters can be drawn in a circle.

Step-by-step explanation:

There can be an infinite number of lines joining radii to the center. If we are placing 2 radii end-to-ending a circle, then we would have the same length as the diameter. Thus the diameter of the circle is twice as long as the radius. So, infinitely many diameters can be formed in the circle.

I got it from Goog|e, I hope it helps.

Answer:

"Only a limited number of radii can be drawn in a circle"

Step-by-step explanation:

A circles radii is the distance between the center of a circle(It only has one) to the edge of the circle. There is only one radii in a circle. And a circle only has one diameter.


Need help on 19-21 homeowrk I don’t need the rest I couldn’t crop out so only 19 throught 21

Answers

Answer:

19. 7, 20. 4, 21. 1

Step-by-step explanation:

19. 21 = 3 x 7, 49 = 7 x 7, So they both share 7

20. 8 = 2 x 2 x 2, 52 = 2 x 2 x 13, they both have 2 x 2

21. 32 = 2 x 2 x 2 x 2 x 2, 81 = 3 x 3 x 3 x 3, they have nothing in common, so they share a 1.

work out the height of a triangular crosse section with the volume of 35cm

Answers

The answer is 2.5 cm.

Sorry if I am incorrect

Ethan and Alex ordered 1,263 pizzas for the school. They wanted to share them equally with each class.If there are 34 classes, how many pizzas will each class get?​

Answers

each class will get about 37 pizzas

PLZ HELP find the y and x-intercepts. y=-2x+4 PLEASE EXPLAIN

Answers

[tex]\text{Given that,}\\\\y = -2x+4\\\\\text{Plug y= 0 to find the x-intercept,}\\\\0 = -2x +4\\\\\implies 2x = 4\\\\\implies x = \dfrac 42 = 2\\\\\text{So the x - intercept is (2,0)} \\ \\\text{Plug x =0 to find the y-intercept.}\\\\y = -2(0) +4 = 0 +4 = 4\\\\\text{So the y - intercept is (0,4)} \\[/tex]

Check image for question

Answers

Answer:

a. 18

Step-by-step explanation:

a= 2

b= 3

[tex]ab^{2} =(2)(3)^{2} =2(9)=18[/tex]

Hope this helps

a=2

b=3

Now

a*b=ab²2*3=2(3)²2*3=2(9)2*3=18

noah neck wth noah neck

Answers

Answer:

a meme

Step-by-step explanation:

Answer:

meem

Step-by-step explanation:

meet bc it is crazy and I luv it

please help, i really beg

Answers

Answer:

Undefined

Step-by-step explanation: Because the pints are a line so there isnt a slope unless ther is a shape.

I'm saying positive. I don't think you need a shape to find the slope

Pls help me
4(3-x)=6(x+2)+20

Answers

Answer:

x = -2

Step-by-step explanation:

convert 14 in base 10 into base 5

Answers

Since

14 = 10 + 4 = 2×5 + 4×1 = 2×5¹ + 4×5⁰,

we have

14₁₀ = 24₅

Are these lines perpendicular?
yes
no

Answers

Answer: yes they are perpendicular

Please help me with the math below

Answers

Sorry a bit messy, with a ratio of 2:5:1, that means 5 would be the longest and your longest piece is 125, diving 125 by 5 gets you 25 cm, this is also your shortest piece since 1x25=25

What is the conjugate of the binomial squareroot 6+4​

Answers

Answer:

We solve 6 + 4

6 + 4 = 10.

Square root of 10:

Step-by-step explanation:

please can someone help with this

Answers

Answer:

true

false

true

true

Step-by-step explanation:

A.

For lines p and q, angles 2 and 3 are corresponding angles, so A is true.

B.

Angles 5 and 7 hare note corresponding angles or alternate interior angles.  B is false.

C.

For lines r and s, angles 2 and 4 are corresponding angles, so C is true.

D.

For lines r and s, angles 5 and 6 are alternate interior angles, so D. is true.

The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is 3.5 feet long. What is the height of the bird house?

Answers

Answer:

  20 ft

Step-by-step explanation:

The shadow of the bird house is 14/3.5 = 4 times the length of your friend's shadow. Consequently, we expect the height of the bird house to be 4 times the height of your friend:

  4(5 ft) = 20 ft

The height of the bird house is 20 ft.

Step-by-step explanation:

that creates 2 similar triangles.

that means all angles are the same, and all side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.

so,

3.5 × f = 14

f = 14/3.5 = 4

and now the range factor applies in the relation between the heights :

5 × 4 = 20 ft

the bird house is 20 ft high.

just do one if u want

Answers

Answer:

whats the question i can't really see it

Step-by-step explanation:


Help me I don’t know if it -7 and -12

Answers

Answer:

I think it's-12

I am not sure

Please ask to some one else please

Answer:

X < -7

Explain:


Find the solution to each system using elimination.x - 2y = 7x−2y=7 and 2x + 5y = -42x+5y=−4

Answers

Answer: dont even know tbh

Step-by-step explanation:?

Write an expression that is equivalent to 2 (4x +9)​

Answers

Answer:

8x/3+6 is equivalent and simplified

Other Questions
josh earns $415 a week plus 3% commision on any sales he makes. in a particular week, he gets paid $600. how much did he make in sales? Tips for Successful LinkedIn Prospecting? How much time do you spend .....TV every day ? A watch B to watch C watching D in watching Find the difference quotient for f(x) = x2 + 4. QUESTION 11Identify the reaction type.KOH + HNO3 -> H2O + KNO3O combustionO decompositionO combinationO single displacementO double displacement Social media objectives should: Choose only ONE best answer. A Be independent of competing marketing and organizational goals. B Adhere to the S.M.A.R.T. framework (Specific, Measurable, Achievable, Resourced, Time-bound). C Adhere to the CCAF framework: context, challenge, activity, feedback. D Flow from, and directly support, social media tactics. E Be finalized early, so marketing goals can be designed around them identifying the most common changes in employment status and identifying five conferences that will occur within the next six months that are pertinent to your career path. This graph shows a portion of an odd function.Use the graph to complete the table of values.Xf(x)-2.-3-4-6DONE Your credit card has a balance of $3300 and an annual interest rate of 14%. You decided to pay off the balance over two years. If there are no further purchases charged to the card, you must pay $158.40 each month, and you will pay a total interest of $501.60. Assume you decided to pay off the balance over one year rather than two. How much more must you pay each month and how much less will you pay in total interest? pros and cons of tritan copolyester find the exact value of tan(165) using a difference of two angles Choose the appropriate explanation how such a low value is possible given Saturn's large mass - 100 times that of Earth. a. This low value is possible because the magnetic field of Saturn is so strong. b. This low value is possible because the magnetic field of Saturn is so weak. c. This low value is possible because the density of Saturn is so high. d. This low value is possible because the density of Saturn is so low. Using the high-low method, the fixed cost is calculated ______. Multiple select question. by adding the total cost to the variable cost using either the high or low level of activity before the variable cost is calculated after the variable cost per unit is calculated Shree travels a distance of 12 km from her house to school by a bus at 20 km/hr and returns home at 16 km/hr.i Calculate the time required to reach school from home .ii find out the time required to reach home from school .iii Determine the average distance of entire journey . write the name of the technologies used in all five generation Plant assets sometimes are purchased as a group in a single transaction for a lump-sum price. This transaction is called a __________, or group, bulk, or basket purchase. need help asap :) ty For this problem I thought the answer would be 1.3 for part C since it said to find the mean. However, I am wrong. Can someone help me with the problem please? Thank you for your help! An expression is shown below: \sqrt(50)+\sqrt(2) is it irrational or rational When f(x) =-3 what is x?