An engineer is designing a fountain that shoots out drops of water. The nozzle from which the water is launched is 3 meters above the ground. It shoots out a drop of water at a vertical velocity of 14 meters per second. Function h models the height in meters, h, of a drop of water t seconds after it is shot out from the nozzle. The function is defined by the equation h(t)=−5t2+14t+3. How many seconds until the drop of water hits the ground?

Answers

Answer 1

Answer:

After 3 seconds

Step-by-step explanation:

Given

[tex]h(t) = -5t^2 + 14t + 3[/tex]

Required

Time the drop will hit the ground

When the drop hits the ground,

[tex]h(t) = 0[/tex]

So, we have:

[tex]0 = -5t^2 + 14t + 3[/tex]

Rewrite as:

[tex]5t^2 - 14t - 3 = 0[/tex]

Expand

[tex]5t^2 + t - 15t - 3 = 0[/tex]

Factorize

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

Factor out 5t + 1

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

Split

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

Solve for t

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

Time cannot be negative.

So:

[tex]t = 3[/tex]


Related Questions

2. Jill swam 200 meters in 2 minutes 42 seconds. If each lap is 50 meters long,

which is MOST LIKELY to be her time, in seconds, per lap?

Answers

Answer:

40.5

Step-by-step explanation:

there are 4 laps in 200 metres.

(200m÷50m)

2min 42 sec=120 sec+42sec (162sec)

so,

162÷4=40.5

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

I think it's B, but this website says it A

Bobby’s conclusion is invalid because the number of clubs in which the student participates does not necessarily cause the English grade of a student to increase.

Step-by-step explanation:

Website:

It doesn't let me send the link but put this into ur search bar

AP Statistics Midterm 2020 quizziz, and click on the link that has AP Statistics Midterm 2020 on it, and it will be last question

does anyone know this ?

Answers

Answer:

Step-by-step explanation:

√196 = 14

√169 = 13

√121 = 11

√225 = 15

√144 = 12

√100 = 10

Answer:

Hope this helps!!!

Have a great day!!!

√196=14

14*14=196

√169=13

13*13=169

√121=11

11*11=121

√225=15

15*15=225

√144=12

12*12=144

√100=10

10*10=100

question 5. find the total number of unit cubes that fill the entire prism

Answers

Answer:

72

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

Which is the number name for 32.611? thirty-two and ciy bundrom​

Answers

Answer:

Winnipeg.

Step-by-step explanation:

Help please (don’t judge my writing) The frequency table shows the number of Dewey Middle School students who volunteered for the Toy Drive project.
What % of the volunteers were 6th graders?

Answers

Answer:

33%

Step-by-step explanation:

(68/206) × 100 = 33%

the answer is 33%

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

Answer:

[tex]3d^3[/tex]

Step-by-step explanation:

The contents of the box must make

[tex]7d^3 - \text{ BOX } = 4d^3[/tex]

To get [tex]7d^3[/tex] down to [tex]4d^3[/tex], you have to subtract [tex]3d^3[/tex]

this is what I need help with
1 and 2

Answers

Answer:

1. is no its a dialation and 2. is yes

Step-by-step explanation:

Find the perimeter show all work

Answers

Answer:

38 cm

Step-by-step explanation:

The perimeter is the sum of the sides

Starting from the left and going clockwise, then

9 + (10 - 6) + (9 - 2) + 6 + 2 + 10

= 9 + 4 + 7 + 6 + 2 + 10

= 38

Answer: 35 cm

Step-by-step explanation: to find the perimeter you add all the sides but sense there is on side that doesn't have a number you subtract 2 from nine then add all the sides plus 7.

Sabina had Rs. 50,000. She deposited some amount of it in Sanima Bank
5% p.a. and rest in Agriculture Development bank at 4% p.a. After 3 years
she withdrew her money which amounted to Rs 57080. Find the interes
separately she got from each bank.​

Answers

Thanks for points broski

help me out? thank you so much whoever does :)))

Answers

Answer:

93

Step-by-step explanation:

both of the angles are on a straight line. Therefore, together they add up to 180°. So 180°-87°=93°

When flipping a coin, what is the probability of flipping heads and then heads?

Answers

Answer:

answer: 1/4

Step-by-step explanation:

Hello Love! The answer would be 1/4 because each time when flipping the coin you have a probability of 1/2 because you have equal chances of getting heads or tails then you multiply 1/2 by 1/2 and get 1/4

Answer: 1/4

Step-by-step explanation: In this problem, we are flipping a coin and we want to find the probability of flipping heads and heads.

Flipping a coin twice are events because the outcome of flipping 1 coin

does not affect the outcome of flipping the other coin.

First, find the probability of each event.

The probability of flipping headsnon the first coin toss is 1/2 since there

is 1 favorable outcome, flipping heads, and 2 possible outcomes.

The second flip will also be 1/2.

Now multiply the probabilities to get 1/4.

If x² = 12x – 7 is solved by completing the square,
one of the steps in the process is
1) (x-6)=-43
2) (x+62 = -43
3) (x-6)2 = 29
4) (x + 6 = 29

Answers

Answer: i believe the answer is 4).

Step-by-step explanation:

Because x= + [tex]\sqrt{ 29[/tex] + 6

How many solutions does the system of equations below have?
y=x+2
y=x-1
A one
B two
С none
D infinitely many

Answers

Answer:

C

Step-by-step explanation:

Answer:

C:  none

Step-by-step explanation:

Here we have two separate functions named 'y.'  Eliminate 'y' temporarily by equating these functions together:

x + 2 = y = x - 1

Subtracting x from both sides, we get:

0 + 2 = y = 0 - 1, or

       2 = -1

This is never true, so C is the correct answer:  NO solutions.

An easier way in which to do this problem is to visualize the graphs of

y = x + 2 and y = x - 1.  The graphs are parallel straight lines; they never intersect, and therefore we can conclude "no solution."

The ages of attendees at two different movies were randomly sampled. The data is presented in the double box plot. Compare the measures of center and variability for the ages of the attendees at movie A and movie B.
Drag each statement to the table to show whether it applies to Movie A or Movie B.

Answers

Answer:

A i think to compare the measure of center ane varibaility

5. THINK SMARTER There are 246 children at
Debbie's school. There are 328 children
at Jacob's school. Without adding, explain
how you could estimate the number of
children at the two schools.

Answers

Answer:u can estimate 246 to 200 and u can estimate 328 to 300

Step-by-step explanation:

add 34

What is the lateral area and surface area? If you amswer correctly i will mark it as brainliest ​

Answers

Answer:

Lateral area:

L = πdh = 3.14*12*10 = 376.8 in²

Total surface area:

S = L + 2*πd²/4S = 376.8 + 3.14*12²/2 = 602.9 in² (rounded)

Convert.
8T=
8 tons is equal to
pounds.

Answers

Answer:

the answer for the question is 8x2000

which is 16000 pounds

Solve the inequality. Enter the answer as an inequality showing the value of the variable to a number (like s < 1/2, or w = 1).

2x < -10

Answers

Answer:

x < -5

Step-by-step explanation:

For the most part, you solve inequalities the same way you solve equations. So for this one, we just needed to divide both sides by 2.

The solution to the inequality is: x < -5. To solve the inequality 2x < -10, follow these steps:

1. Divide both sides of the inequality by 2 to isolate x.

2. Remember to reverse the inequality sign when dividing by a negative number.

Step 1: Divide both sides by 2:

(2x) / 2 < (-10) / 2

Step 2: Simplify:

x < -5

The solution to the inequality is:

x < -5

To know more about inequality:

https://brainly.com/question/20383699

#SPJ2

what is the surface area of 150 boxes

Answers

Answer:

Well since there aren't any specifics all you can be given is an equation on how to solve it, if a box has 6 sides and it's a cube then it will just be L*W=A then multiply that area by 6, that gives you the full surface area and if you want it for 150 boxes then just multiply whatever you got for the surface area by 150. It will be different if it's a rectangular box though, with that you must solve the surface area for 3 different pieces and multiply them all by 2 then add them all up and you get the surface area of that shape, then you multiply by 150 and that's your answer.

PLSSSSSS HELP GIVING BRAINLIEST
The probability of rolling a 6 with a six-sided number cube is . Choose the
likelihood that best describes the probability of this event.
A. Impossible
O B. Likely
C. Unlikely
O D. Neither likely nor unlikely

Answers

Step-by-step explanation:

That probability is 1/6 (one in six).  Certainly this outcome could happen, but the probability that it won't happen is 1 - 1/6, or 5/6.  Answer C is correct.

Light travels at a rate of about 9,460,528,400,000,000 m per year. approximately how many meters does light travel per second? choose one answer
(A) 3x10^8 meters per second
(B)3X10^9 meters per second
(C) 3x10^10 meters per second

Answers

Answer:

A

Step-by-step explanation:

Hi! brainliest giving :)))
Find the volume of a cone with a base circumference of 17π m and a height 4 m less than twice the radius. Give your answer both in terms of π and rounded to the nearest tenth.

Answers

this is the answer:)

HOW DO YOU SOLVE THESE DIAMOND PATTERNS!!!

Answers

Answer:

Cut them in half and do this

Step-by-step explanation:

1/2(?)(?)

Answer: The pattern of the numbers is constant: On the left and right side of the diamond, you have two numbers, sometimes called factors;In the top part you can find their product; and In the bottom section - their sum

Step-by-step explanation:

Solve for x. Show work

Answers

Answer:

X=11

Step-by-step explanation:

5x+10+58=11x+2

-6x+68=2

-6x=-66

x=11

Peter hired a cleaning company to clean his house. The cleaning company charges a fixed fee $15 plus $17 per hour to clean a house

Answers

what’s the question?

A train leaves Richmond at 8:50AM and arrives at Washington DC at 11:35AM. How long does the trip take?​

Answers

Answer:

2 hours 45 minutes.

Step-by-step explanation:

9 :00 - 8:50 = 10 minutes.

11:35 - 9.00 = 2 hours 35 minutes.

So length of the trip = 2 hours 45 minutes.

Answer:

Solution given:

the trip take =11:35-8:50=2 hours 45 minutes.

Describe the slope of these lines what do we call these lines?

Answers

Answer:

parallel lines

Step-by-step explanation:

the slope is 0

Peter says If you subtract 14 from my number and multiply the difference by -2​, the result is -44 What is Peters number?

Answers

Answer:

36

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Let the number be x, then

First subtract 14 from number x, then

x - 14

Now multiply difference by -2, results -44

(x - 14) × -2 = -44

By solving equation,

-2X + 28 = - 44

- 2X = -44 - 28

X = -72 ÷ -2

x = 36

So, Peter's number is 36.

a can contains 15/16pounds of vegetable. one serving of these vegetable weights1/4pound.what is the total number of servings of vegetables in the can​

Answers

Answer:

The total number of servings of vegetables will be [tex]3\frac{3}{4}[/tex]

Step-by-step explanation:

hope it helps...

have a great day!!

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