A water balloon is thrown upward from a height of 5 feet with an initial velocity of 35 feet per second. The quadratic function h(t)=-16t^2+35t+5 represents the height of the balloon, h, in feet t seconds after it is thrown. Determine when the balloon is more than 10 feet above the ground. Round your answer to the nearest thousandth.

Answers

Answer 1

Answer:

t>2.034s and t>0.154s

Step-by-step explanation:

Given the quadratic function h(t)=-16t^2+35t+5 which represents the height of the balloon, h, in feet t seconds after it is thrown.

To determine when the balloon is more than 10feet above the ground, we will substitute h = 10 into the expression to have;

h(t)=-16t^2+35t+5

-16t^2+35t+5>10

-16t^2+35t+5-10>0

16t^2-35t+5>0

Find t;

t > 35±√35²-4(16)(5)/2(16)

t>35±√1225-320/32

t>35±√905/32

t>35±30.08/32

t > 35+30.08/32 and t > 35-30.08/32

t>65.08/32 and t>4.92/32

t>2.034s and t>0.154s

Hence the balloon is more than 10feet above the ground at when t>2.034s and t>0.154s


Related Questions

What is the slope ? M=

Answers

Answer:

-3/2

Step-by-step explanation:

The slope is found by

m = ( y2-y1)/(x2-x1)

Using the points (-4,11) and ( 0,5)

m = ( 11-5)/( -4-0)

  = 6/-4

  = -3/2

number 9?? please help.

Answers

Answer:

x= 3

Step-by-step explanation:

∠RTS +∠RST= ∠QRT (ext. ∠ of △RST)

(25x)° +(57 +x)°= (45x)°

25x° +x° +57°= 45x°

26x° +57°= 45x°

45x° -26x°= 57°

19x°= 57°

x°= 57° ÷19

x°= 3°

x= 3

Alternatively, find the measure of the angle RST using ∠ sum of triangle then find ∠QRT using adjacent angles on a straight line. Equate this value to 45x and solve for x.

A segment of length 94 cm has been rotated degrees around a center . What is the length of the rotated segment?

Answers

Answer:

Rotation does not change lengths.

Plis answer me this question is do tomorrow

Answers

Answer:

133? i just did 400 divided by 3 lol

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

first, make sure that is the entire graph because if not this answer is wrong

20 people total and 3 picked science so 3/20=x/400 so 20x20=400 so 3x20 means the number of students 400 who picked science probably based on this and it is 60

Which expression is equivalent to 6x2 – 19x – 55?

Answers

Answer:  (x - 5)(6x + 11)

Step-by-step explanation:

Let's factorie the given expression using middle term splitting method.

Thus, we have ;

=> 6x² - 19x - 55

=> 6x² - 30x + 11x - 55

=> 6x(x - 5) + 11(x - 5)

=> (x - 5)(6x + 11)

Hence,

The equivalent expression of 6x² - 19x - 55 is :

(x - 5)(6x + 11).

Write two division equations for each multiplication equation.

1. 15 ⋅ 2/5 = 6

2. 6 ⋅ 4/3 = 8

3. 16 ⋅ 7/8 = 14

Answers

1. 2/5 = 6/15
2. 4/3 = 8/6
3. 7/8 = 14/16

Find the sum of the prime numbers less than 21

Answers

Answer:

1;3;5;7;11;13;17;19 add all the number

Answer:

Step-by-step explanation:

Prime numbers less than 21 are

2, 3,5,7,11,13,17,19

Sum= 79

area of the base of a pentagonal prism with a volume of 50 cubic centimeters and a height of 7.5 centimeters

Answers

Answer:

Step-by-step explanation:

V = B * h

50 cm^3 = B * 7.5 cm

B = 50 / 7.5

B = 6.67 cm^2

Answer:

375

Step-by-step explanation:

Area= b*h

50*7.5=375

Sally spins a fair spinner numbered 1 - 6 and flips a fair coin. What is the probability of obtaining a multiple of 3 and a tail?

Answers

The probability is 1/6

The likelihood of Sally spinning a multiple of 3 is 2/6 (or 1/3).

The likelihood of her flipping a tail is 1/2.

To find the probability of two independent events, multiply said individual probabilities together.

(1/3)(1/2) = 1/6

if y = 4 when x = -4 find y when x = 7

Answers

Answer:

-7

Step-by-step explanation:

Assuming y and x are the opposites of each other, when x = 7 y must be -7.

WILL GIVE 75 POINTS & SEND $10 ON CASHAPP!
What is the constant of proportionality for each situation below and what does it mean?
First y = 1.5x
Second:
y
= 7/4x
оа
Ob
First: 1.5 cups of flour per cup of sugar Second: 7/4 cups of flour per cup of sugar
First: 5 cups of flour per cup of sugar Second: 4 cups of flour per cup of sugar
First: 1 cups of flour per cup of sugar Second: 7.4 cups of flour per cup of sugar
Question 5 (2 points)

Answers

Answer:

What is the question tell me clearly.

Step-by-step explanation:

1. y/x=1.5 and what is the other question???

Hi I need help can you guys look at the screenshots thanks if the answer is correct I will give Brainliest if the answer is correct.

Answers

Answer:

D. -60 + (-30) = -30

Step-by-step explanation:

Put the word problem into an equation: -60 + (-30) = -30

I hope this helped, please mark Brainliest, thank you so much!!

The answer is C= -60+30=-30

could someone help me with this ? i need to find m

Answers

the three angles of a triangle always add up to 180 degrees.

So, add the three angles together!

2x - 12 + 2x + 17 + 9x - 7 = 180

Group the similar numbers together.

13x -2 = 180

13x = 182

x = 14

Plug x in to 2x + 17

14*2 + 17 = 45

mX = 45 degrees

Answer:

m∠X = 45°

Step-by-step explanation:

All angles in a triangle add up to 180°

2x - 12 + 2x + 17 + 9x - 7 = 180

13x = 180 - 17 + 12 + 7

13x = 182

x = 14°

m∠X = 2x + 17

sub x = 14° into m∠X

2(14) + 17

m∠X = 45°

andre is writing a paper for science class he can type 30 words per minute what is the ratio of words to minutes

Answers

Answer:

30words

60

30/ 60 = 1/2

The ratio is 1:2

Thank you and please rate me as brainliest as it will help me to level up

A slug travels 3 centimeters in 3 minutes. A snail travels 6 centimeters in 6 minutes. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai's reasoning

Answers

Answer:

yes

Step-by-step explanation:

a,p,e,x


Tim made a tuna sandwich using bread
that measured 9 cm by 12 cm. He cut the
sandwich in half along a diagonal. What
is the length of the diagonal cut that he
made?

Answers

Answer:

Step-by-step explanation:

I looked this up on google. There is an answer key if u look up this exact question the 1st link is the answer key!

help? brainliest if i can..

Answers

Answer:

C y=2x-6

Step-by-step explanation:

the diffrence in each one is two by using two as slope you get -6 as y intercept.

Answer:

y = 2x - 6 (Third option)

Step-by-step explanation:

(-6, -18), (-1, -8)

m = (-8 - (-18)) / (-1 - (-6))

m = (-8 + 18) / (-1 + 6)

m = 10 / 5

m = 2

-8 = 2(-1) + b

-8 = -2 + b

b = -6

y = 2x - 6

Hope this helps!

Marissa is purchasing holiday hams and turkeys for her employees. If she buys 15 hams and 10 turkeys, her total cost will be $719.75. If she buys 17 hams and 8 turkeys, it will cost her $705.75. How much is each ham?
How much is each turkey?

Answers

Answer:

turkey=$32.786

ham=$26.086

Answer:

I believe that each turkey would be 47.94$ for each piece And the ham would be 41.51$ for each piece.

Step-by-step explanation:

Hope this helps!

Help ASAPPP PLEASEEE AND THANK YOUUY

Answers

Do a checkered pattern then each rows would have two

And each column should have one

Write a rule for the translation of ABC to A' B' C'

Answers

Answer:

(x-2,y-4)

Step-by-step explanation:

Here, we want to calculate the rule for the translation

From the question, we can see that the new image was just formed as a movement of the old image by some particular units

The x-axis was move sideways while the y-axis was moved further down

The number of units is thus;

Y from 12 to 8

A movement of -4

For the x-axis

we have a movement of two units toward the left

So the rule is;

(x,y) to (x-2, y-4)

What is a pair of complex numbers called?

Answers

Answer:Complex numbers in the coordinate plane. Each complex number x + yi corresponds to a number pair (x, y) in the plane, so we may say that the complex numbers form a two-dimensional collection. The two coordinates of the pair (x, y) are called the real part and the imaginary part of the complex number.

Step-by-step explanation:

What is the value of b? b+4 b+38 b-19​

Answers

Answer: For the first one b can be a higher or lower number

for the second one b can be a higher or lower number and the last one must be a higher number

Step-by-step explanation:

hope this helps :D

Janna and Anthony walk home from school on Monday Wednesday and Friday their mother picks them up on Thursday and they ride the bus on Tuesday what fraction of time do they walk hom from school

Answers

Answer: 3/5

Step-by-step explanation:

Out of 5 school days, Janna and Anthony walk home on Monday, Wednesday and Friday.

This means they walk home on 3 days out of 5.

The fraction of time they walk home from school is;

= 3/5

Please hurry I need this fast

Answers

C. It’s C because those are vertical angles and not alternate Interior angles

Answer:

c

Step-by-step explanation:

The property taxes on a house were $2610. What was the tax rate if the house was valued at $290,000? Follow the problem-solving process and round your answer to the nearest hundredth of a percent, if necessary.

Answers

Hi

2 610  /  290  000  *100 = 0.9 %

Less than 1%

The tax rate if the house was valued at $290,000 was Less than 1%.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that property taxes on a house were $2610.

We need to find the tax rate if the house was valued at $290,000.

Therefore,

2610  /  290 000  x 100 = 0.9 %

Hence, the tax rate if the house was valued at $290,000 was Less than 1%.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ5

5/6 divided by 2/3 (please show work!)

Answers

Answer:

Theres the work sorry if im wrong

Step-by-step explanation:

5

-

6 and 2

-

3 =10/18

Answer:

5/4 or 1 1/4

Step-by-step explanation:

Multiply by the reciprocal:

5/6 • 3/2

Reduce with the greatest common factor, which is 3:

5/2 • 1/2

Finally, multiply:

5/4 or, as a mixed fraction, 1 1/4

Which runner lost the race?

Answers

Answer:

I would say charlie because why did it suddenly curve and then continue again?

Step-by-step explanation:

Hopefully this helps? Have a nice day/night! :)

Answer:

Charlie is the loser I believe sorry if I'm wrong

Step-by-step explanation:

Hope it helps!

Have a good day/night :)

Brainliest pls?

Kyle wants to buy a new laptop that has an original price of $540. The store is having a sale, so the laptop is 10 percent off, which amounts to a discount of $54. If sales tax is 8 percent on the final price of the laptop, how much tax will he need to pay?
$38.88
$43.20
$47.52
$48.60

Answers

A 38.88

Trust me it works

38.88 is the correct answer

i have the answer below i got 100%

Click on the supporting detail that correctly explains what
happens during reduction firing.
Answer:the third one

Answers

Answer: sorry i’m late ..

but the answer is : in reduction firing, the amount of oxygen is reduced as the fuel burns. So, different chemical reactions take place

Step-by-step explanation:

i took the lesson on iReady “understanding technical and scientific texts - tutorials- part 2- Level d” !!

Find the value of f(-3).

Answers

Step-by-step explanation:

the value is -5 hope that is good

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