While vacationiong, you decided to go bungee jumping off a cliff into the river. Your height as a function of time is modeled by the function h(t)= -16t^2+16t+370, where t is time in seconds and h is the height in feet.

When did u hi the water? Round your answer to the nearest hundreth?

Answers

Answer 1

Answer:

5.33 Seconds

Step-by-step explanation:

This is because you have to do the quadratic equation and solve.

Answer 2

The time required to hi the water is 5.33 seconds.

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x as ax^2+bx+c=0 with a ≠ 0 . A quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2.

For the given situation,

The function is h(t)= -16t^2+16t+370

The roots of this function can be found by using the formula,

[tex]t=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]t=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

Here, a=-16, b=16, c=370

⇒ [tex]t=\frac{-16+\sqrt{16^{2}-4(-16)(370) } }{2(-16)}[/tex] or [tex]t=\frac{-16-\sqrt{16^{2}-4(-16)(370) } }{2(-16)}[/tex]

⇒ [tex]t=\frac{-16+\sqrt{23936} }{-32}[/tex] or [tex]t=\frac{-16-\sqrt{23936} }{-32}[/tex]

⇒ [tex]t=\frac{-16+154.712}{-32}[/tex] or [tex]t=\frac{-16-154.712}{-32}[/tex]

⇒ [tex]t=\frac{138.712}{-32}[/tex] or [tex]t=\frac{-170.712}{-32}[/tex]

⇒ [tex]t=-4.33[/tex] or [tex]t=5.33[/tex]

Time cannot be negative. So the value is 5.33.

Hence we can conclude that the time required to hi the water is 5.33 seconds.

Learn more about quadratic equation here

https://brainly.com/question/12187987

#SPJ2


Related Questions

which of the following tables does NOT represent a function ? (i can’t get this wrong please help) (15 points)

Answers

Answer:

C

Step-by-step explanation:

the answer is c because there is more then one y value for 5

Let's assume a typical New Zealand farmer raising sheep owns 250 hectares and averages about 10 livestock units per hectare. If each ewe earns the farmer $20/year, how much money does that farmer earn in one year?​

Answers

Answer:

$50,000

Step-by-step explanation:

We have an average of 10 livestock units per hectare

The number of units in 250 hectares will be;

250 * 10 = 2,500 units

Amount earned per unit is $20 per year

So, for 2,500 units, we have

2500 * $20 = $50,000

Find the values of x and y.

Answers

Answer:

y=60°

x=12°

Step-by-step explanation:

because the propertiy of parallelogram is the opposite side have equal measurement.

that is why y=60°

x+3=15 the paralla side are equal

x=15°-3°

x=12°

proof》》》》x+3=

12°+3°=15°

15°=15°

A data set is normally distributed with a mean of 100 and a standard
deviation of 8.6. An element in this set is 96. What is the z-score for 96?
(answer with 3 decimal places)

Answers

The square =9+7/5 or

Answer:

It is -0.465 when you add it to the nearest thousandth

Step-by-step explanation:

Explain which properties you would use to fully expand (the problem in the screenshot)

Answers

Answer:

Firs property used : Quotient Property

           [tex]log_b(\frac{X}{Y} ) = log_bX -log_bY[/tex]

   [tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)[/tex]

Second property used : Product Property

          [tex]log_b(XY) = log_bX + log_b Y[/tex]

    [tex]log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)[/tex]

Third property used : Power Property

                 [tex]log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X[/tex]

 [tex](log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by[/tex]

Fully expanded form:

                   [tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by[/tex]

           

A bakery bakes 2000 loaves in 5 hours . How many loaves will be baked in 12​

Answers

Answer:

4,800 loaves.

Step-by-step explanation:

Solve by utilizing ratios and cross-multiplication.

4,800 loaves will be baked in 12 hours.

Explanation:
Unjt rate is 400 loaves per hour (divide 2000 by 5)

Multiply 400 • 12= 4,800.

Have a nice day/night!

A data set is made up of these values.
1, 4, 4, 5, 6, 8,9
Find the interquartile range.
A. 9 -1 = 8
B. 9-8 = 1
C. 4-1 = 3
O 0
D. 8 -4 = 4
SUBMIT

Answers

Answer:its D 8 -4 = 4

Step-by-step explanation:

A box contains 7 red marbles, 4 white marbles, and 5 blue marbles. If only white marbles are added to the box, how many must be added to
make the probability of drawing a white marble ş?
A: 1
B: 2
C: 5
D. 7
E: 12

Answers

Answer is e hope this helps

The center of the Pentagon in Arlington, Virginia, is a courtyard in the shape of a regular pentagon The pentagon
could be inscribed in a circle with a radius of 300 feet. Find the area of the courtyard Round to the nearest tenth

Answers

Answer:

213,987.7 ft2  

Step-by-step ex planation:


Which statements about the graphs of functions g(x) = 4x and f(x) = x are true? Select all that apply.

A. g is wider than
B. fand g open in the same direction
C. fand g have the same vertex
D. fand g have the same axis of symmetry

Answers

Answer:

A

Step-by-step explanation:

PLS ANSWER FOR 30 POINT AND BRAINLIEST!!!

Answers

Answer:

B and E

Step-by-step explanation:

Find the value of x pls I’ll give brainleist.

Answers

Answer:

x=15°

Step-by-step explanation:

We can see angle 6x-5 has a corresponding angle above it, which is congruent to it. That angle is supplementary with angle 7x-10. We can tell because it forms a straight angle with it. Supplementary angles add to 180°.

(7x-10)+(6x-5)=180

7x-10+6x-5=180

13x-15=180

13x=195

x=15

PLEASE HELP!!!
A weather forecaster predicts that there is a 50% chance of rain on Saturday and a 40% chance of rain on Sunday. If these probabilities are correct, what is the probability that it will rain on both days?

Answers

The answer would be 20%

PLEASE HELP!! NO LINKS!!

Answers

Answer:

105°

cause You can measure an arc in degrees just like you measure an angle

no links please i’m in yr7 / sixth grade so don’t make the answer too complicated or it won’t register ot

Answers

Answer:

each apple is £ 1.80

Step-by-step explanation:

i first multiplied the cost for one pear by 7, to get how much money was spent on pears out of the 12.70.

Then i took the remaining money and divided it by 2 to get how much each apple costs.

Answer:

1.80

Step-by-step explanation:

1) Price of Pears

[tex]1.30 * 7 = 9.10[/tex]          formating: 1.30*7 = 9.10

2) Price of Apples

[tex]12.70 - 9.10 = 3.60[/tex]          formating: 12.70-9.10 = 3.60

3) Price of Apples/Kg

[tex]\frac{3.60}{2} = 1.80[/tex]          formating: 3.60/2 = 1.80

A semi-trailer in the shape of a rectangular prism, has inside measurements of 53 feet, 8 feet, and 8.5 feet. What is the volume of the trailer?

Answers

Answer:

4.5

Step-by-step explanation:

hey whats the answer to this ? will mark brainliest if correct

Answers

Answer:

C. 128°

Step-by-step explanation:

Here,

<BAC + <BAE = 180° [Since supplementary angles]

=> 52° + <BAE = 180°

=> <BAE = 180° -52°

=> <BAE = 128° (Ans)

simplify the following:4(2x)^2+5(2y^2)^3​

Answers

Answer:

16x^(2)+40y^(6)

Step-by-step explanation:

Hopes this helps:

Answer: 16x^2 + 40y^6

Please mark as brainlist.

Find the height of a right triangle with a hypotenuse of 15 feet and a base of 12 feet.

Answers

Answer:

c^2=a^2+b^2

c is hypothesis b is abase h is a

15^2=x^2 +12^2

225-144 =x^2

81=x^2

x=9

what is the volume of a sphere with a radius of 9.2cm, rounded to the nearest tenth of a cubic centimeter

Answers

Answer:

Step-by-step explanation:

Answer:1630.9 cm

v=4/3πr^3

radius =9.2

Plug in

4/3π(9.2)^3

3261.76066-

Volumenof hemisphere Half of volume of spehere

3261.76066698/2

=1630.9 cm^3

Someone help me please

Answers

Step-by-step explanation:

I think the choose 3 (g , h ,f )

HELPPPPPPP PLZZZZZZZZ

Answers

Answer:

azesrdftgyuh

Step-by-step explanation:

dxcfvghbj

top is x> 2.5

bottom is x<2.5

brainly me

Laptop scan 182 megabytes of data in 7 seconds. How many megabytes does it download per seconds

Answers

Answer:

jdkkdksmsmsmsksksksksksmaMmamMamnz

Step-by-step explanation:

nnznznznznxnxnxnsnskakakakakakzznnznanananaan

Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 20,40,80,...

Answers

Answer:

5100

Step-by-step explanation:

the geometric sequence is

f(n) = 20(2)^(n-1)

add up the first 8 to get

2 x [(27–3) - (3+4)] = n
what’s (n)

Answers

Answer:

n = 34

Step-by-step explanation:

2{(24- ( 3 + 4)) =n

2{(24 - 7) =n

2 x 17 = n

34 = n

swap the sides

n = 34

HELPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

D because mean is the subtraction of the biggest number and the smallest. so 17-8=9

Answer:

I think it's D

I don't know tho

Which is the factored form of x(w – 1) + (W – 1)?
22 pts

Answers

Answer:

Solution given:

x(w – 1) + (W – 1)

distribute it:

xw-x+w-1

xw+w-x-1

take common from each term

w(x+1)-1(x+1)

take common again

(x+1)(w-1)

the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).

need to know the answer

Answers

Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.

Calculate the perimeter and the area of the figure use 3.14

Answers

Answer:

Step-by-step explanation:

13.

 P= 19.42mm

  A= 18.32mm²

Answer:

Half of 6 is 3(new radius)

2 x 3.14 x 3 = 18.84, 18.84 divided by 2 = 9.42

2 + 2 + 2 = 6

6 - 2 = 4

Add lengths:

9.42 + 6 + 4 = 19.42 mm is your perimeter

2 x 2 = 4

3^3 = 9

9 x 3.14 = 28.26, 28.26 divided by 2 (semi circle) = 14.13

Add areas:

4 + 14.13 = 18.13 mm2 is your area

Flip a coin 4 times and calculate the experimental probability of the coin landing heads up. Flip a coin 4 more times to increase the total number of trials to 8. What is the experimental probability of the coin landing heads up?

Answers

Answer:

0.35 Not sure

Step-by-step explanation:

Answer:

3/4 and 5/8

Step-by-step explanation:

Other Questions
A person is trying to solve the equation for the energy of a light wave: E=hc . She knows the values of h and c. What does the quantity represent?A.frequencyB.wave speedC.periodD.wavelength Laura lleno su pecera hasta la mitad 40 cm de altura 60 cm de ancho 20 cm dekargo cuanto espacio ocupa la pecera Can someone please help Find the slop help please The probability of winning a game is 2/5 What is the probability of losing the game? have sum pointtttsssss to de person who didnt get any last time c: why does ooka want gonta to put back more rice than he stole? Im struggling with this practice problem help plz plz plz plz help me In the Caribbean countries, general election is usually held every _ years Dans les phrases suivantes, relevez les verbes au subjonctif et prcisez leur emploi. (2 pts). Je suis heureux que tu prennes ton role cur b. Il faut vraiment que nous partions midi.L. Dpchez-vous d'teindre la lumire avant qu'ils reviennent d. J'aimerais que tu fasses la vaisselle quand je rentre. comment puis-je dire salut salut pain en franch The ecosystem with the most concentrated selection of diverse plants and animals in the world is the __________, located in Latin America.A.Atacama DesertB.Amazon RainforestC.coniferous forest in the Central American mountainsD.deciduous forest in the South American mountainsPlease select the best answer from the choices providedABCDthis is this answerhope this help love yall 20 Look at the map.What form of imperialism does the map represent?Imperialism inA colonizationB direct controlO C vertical integrationD spheres of influence How much change did she receive? Substitutiony=7x+3 Mr. Vinny is somehow charged with +2.0 C, a HORRENDOUS amount of charge. Unfortunately for Mr. Vinny, a sledgehammer has been charged with 10.0 C. Since opposites attract, the sledgehammer flies at Mr. Vinny. How far away is the sledgehammer when the force between them is 4.50x1010 Catherine owns a bakery. She takes x minutes to bake a tray of cookies. The time it takes is less than 18 minutes. Which inequality represents this?18 > xx = 1818 < xx > 18 help!!!!!! algebra 1 How many places do you need to move the decimal to the left to write the number below in scientific notation ? 1200000000000