Devin jumped off a cliff into the ocean in Acapulco while vacationing with his family. His height as a function of time could be modeled by the function h(t)= -16t square root 2 +16t +96, where T is the time in seconds and H is the time in feet. How many seconds until Devon hit the water? Around to the nearest tenth is necessary.

Answers

Answer 1

Answer:

3 seconds

Step-by-step explanation:

Given the height modelled by the function

h(t) = -16t² + 16t + 96

The hit the water at h(t) = 0

0 = -16t² + 16t + 96

Divide through b y -16

0 = t² - t - 6

t² - t - 6 = 0

t² - 3t+2t - 6 = 0

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

t+ 2 = 0 and t - 3 = 0

t = -2 secs and t = 3secs

Since t can't be negative, hence;

t = 3 secs

hence it will take 3 seconds until Devon hit the water


Related Questions

Find the vertex following equation: x2 + 10x = 21

A: (5, -46)
B: (-5, 54)
C: (-5, -46)
D: (5, 54)

Answers

i thinks that something is wrong i don't get you answers but i checked my task twice.

Hurry!! Worth 10 points

Answers

Answer:

its D

Step-by-step explanation:

GIVING OUT BRAINLIEST FOR THE PERSON WHO HELPS ME FIRST!!!

question: Which expression uses the associative property to make it easier to evaluate <the numbers in the picture>​

Answers

Answer:

d

Step-by-step explanation:

Please help ASAP! My parents are gonna kill me if I don’t pass this

Answers

Answer:

a ) 1 and 2

b ) less then 1

c ) less then 1

d ) less then 1

e ) 1 and 2

Step-by-step explanation:

The local movie theater has tickets at $8.75. If the theater made $78.75 dollars. How many tickets did it sell?

Answers

Answer:

The theater sold 9 tickets just multiple 8.75 by 9 and you'll get 78.75

The probability that a student chosen at random from a class has brown
hair is 7/13
The probability that they have ginger hair is 5/26
What is the probability that a student chosen from the class at random has
either brown hair or ginger hair?
Give your answer as a fraction in its simplest form.

Answers

Answer:

5/26+7/13

5/26+14/26

19/26

The probability that a student chosen from the class at random has either brown hair or ginger hair is 19/26.

Given that, the probability that a student chosen at random from a class has brown hair is 7/13 and the probability that they have ginger hair is 5/26.

Probability that student have either brown hair or ginger hair

= 7/13 + 5/26

= 14/26 + 5/26

= (14+5)/26

= 19/26

Therefore, the probability that a student chosen from the class at random has either brown hair or ginger hair is 19/26.

To learn more about the probability visit:

https://brainly.com/question/11234923.

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Find the minimum and maximum possible areas for rectangles with the following measured areas.


12 km × 5 km


A.
51.75 km2, 66 km2


B.
57.5 km2, 68.75 km2


C.
51.75 km2, 68.75 km2

Answers

Answer:

I believe it's B correct me if I'm wrong

Answer:

C.    51.75 km2, 68.75 km2

Step-by-step explanation:

write 21/23 as a decimal rounded to the nearest tenth.

Answers

Answer:

0.9

Step-by-step explanation:

21 ÷ 23 = 0.913

Round to the nearest tenth = 0.9

Hope this helps!

helllllpppp the question is down here vvvv:

Answers

Answer:

Hope this helps

Step-by-step explanation:

I believe the ¨Five less than twice a number" is

[tex]2x-5[/tex]

¨Five times the sum of two numbers¨

[tex]5(x+y)[/tex]

¨The difference of 5 and a number squared¨

[tex](5-x)^{2}[/tex]

Answer:

First Box is:  5 - 2x

Second Box is: 5(x + y)

Third Box is: (5 - x)²

Step-by-step explanation:

The First one said "Five less than twice a number"

It said Five less than, meaning 5 (subtract)Twice mean 2 and a number means a VARIABLE. Answer: 5 - 2x

The second one said "Five times the sum of two numbers"

Five times means 5 (multiplication)Sum means adding and two numbers means two variables.Answer: 5(x + y)

The thrird one said "The difference of 5 and a number, squared"

The difference means subtracting of 5a number means a variablesquared, means an exponent of 2Answer: (5 - x)²

All of these answers seems to fit the descriptions.

A baseball fits snugly inside a transparent display cube. The length of an edge of the cube is 2.9 inches.
Is the baseball’s volume greater than, less than, or equal to cubic inches? Explain how you know.




1. A cube’s volume is 512 cubic units. What is the length of its edge?



2. If a sphere fits snugly inside this cube, what is its volume?



3. What fraction of the cube is taken up by the sphere? What percentage is this? Explain or show your reasoning.

Answers

Answer:

hi

Step-by-step explanation:

hi

Find the percent of change. Round to the nearest tenth, if necessary.

There were 795 runners registered for the marathon in 2015 and 1,208 in 2016.

PLLLLLEEEEEEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAASSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSEWEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

51.9% increase

Answer:

The answer would be: 51.9% increase

Step-by-step explanation:

Have a blessed day

How many degrees does the polynomial 6c9 have

Answers

Answer:

None, there are no degrees/exponents

Step-by-step explanation:

Hope this is helpful :)

Answer:

has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term

Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad. Tom talked for 4 minutes with a friend and 3 more minutes with his mom. Do Sage and Tom have the same number of talk minutes left on their cell phone plans? Write an algebraic expression to represent the number of minutes Tom has left. Question 1

Answers

Answer:

a. Sage and Tom have the same number of talk minutes left on their cell phone plans.

b. y = x - 7

Explanation:

Sage talked for 7 minutes with her dad.

Tom talked for 4 minutes with a friend and 3 more minutes with his mom which means he spoke for :

= 4 + 3

= 7 minutes

They both spoke for 7 minutes and therefore have the same amount of time left.

Algebraic expression:

Assuming the time Tom started with is denoted by x and the time he is left with is denoted by y.

The expression is:

y = x - 7

Select the correct answer.
What is the end behavior of this radical function?

Answers

Answer:

A.

Step-by-step explanation:

As x approaches positive infinity, f(x) approaches positive inifinty.

Does anyone know this?

Answers

I’m pretty sure it’s 38, when you divide you don’t get an answer shown, same for subtraction, and multiplication. when you add you get 38 which is a choice; unless there is a formula i’m missing then this should be the answer

helpppppp someone please​

Answers

Answer:

x=22/5

Step-by-step explanation:

multiply by 3 on both sides

7+x=6x-15

x=6x-22

-5x=-22

*-1 on both sides

5x=22

x=22/5

Dana is planning to drive 400 miles from
New York to Boston and back. Dana's
hybrid car can travel 50 miles on 1 gallon
of fuel. Biodiesel fuel costs $4.45 per
gallon.
Part A: How many gallons of fuel does
Dana need to purchase for the 400-mile
trip? Explain your reasoning.
Part B: Dana can take a high-speed train
to Boston instead of driving. A round-trip
train ticket costs $95. Is it cheaper for
Dana to take the train or to drive? How
much cheaper? Explain your reasoning.

Answers

Answer:

A. 8 gallons

B. Drive by car is $59.4 cheaper than travel by train

Step-by-step explanation:

According to the scenario, given data are as follows,

Total drive = 400 miles

Total drive per gallon = 50 miles

Fuel cost per gallon = $4.45

A. So, Total fuel required to drive 400 miles can be calculated as follows,

Total fuel required =  Total drive ÷ Total drive per gallon

By putting value, we get,

Total fuel required = 400 ÷ 50

= 8 gallons

B. Total cost if drive by car = 8 gallons × $4.45 = $35.6

Cost if travel by train = $95

Hence it is clearly shows that drive by car is much cheaper than travel by train.

Cost saved by travel by car = $95 - $35.6 = $59.4

So, drive by car is $59.4 cheaper than travel by train.

Which best describes the figure that is represented by the following coordinates?
A(-3, 4), B(3, 4), C(3,-2) and D(-3,-2)
у 4
a trapezoid
10-
8
a square
6
4
a rectangle
10
8
-6
-4
2
8
10%
-20
-2-
a parallelogram
- 10-

Answers

Answer: A square
A square with each edge length 6

Find the sum of

(9c+8)+(5x-2)+(3y+7)

Answers

Answer:

9c + 5x + 3y + 13

Step-by-step explanation:

you can't combine any of the numbers wwith variables because the variables aren't the same but you can combine the other numbers (8, -2, 7)

8 - 2 = 6

6 + 7 = 13

put the equation back together but instead replace the 8, -2, and 7 with 13 giving you

9c + 5x + 3y +13

WHAT IS 7/8 OF 3456739352=
PLEASE HELP ME!!!!!

Answers

3024646933 is the answer

Can someone solve this?

Answers

Answer:

[tex]y = \frac{1}{9} x + 3\frac{1}{3}[/tex]

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

y=1/9x+10/3

Explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula  to find the line perpendicular to  y = − 9 x − 4 .

what is the y-intercept? B =

Answers

Answer:

60

Step-by-step explanation:

Since when x = 0 the corresponding value of y is 60. So, y-intercept (b) = 60

if a triangle has a area of 42 cm^2 and a base of 8 cm, what is the height?



show work plsssss

Answers

Answer:

The height would be 10.5 cm

Answer:

hb=10.5cm

Step-by-step explanation:

Area of triangle = 1/2(height x base)

The problem states that base is 8 cm greater than the height; therefore, base-8 = height.

A = 1/2(b*h)

42 = 1/2(b*[b-8])

84=(b^2-8b)

rearrange to

b^2 - 8b -84

factor to

(b+8)(b-14)

Therefore, b = -8 cm which makes no sense and

b = +14 cm

and height = 14-8 = 6

Check:

1/2(b*h) = area

1/2(14*6) = 1/2(84)=42

Suppose you are driving. You notice that after driving for 4 hours, you are 135 miles from Seattle. You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. What is your rate? How far do you drive every 9 hours? How far from Seattle are you after driving for 17 hours?

Answers

Answer:

1,423

Step-by-step explanation:

Your average rate is 36.7 miles per hour over nine hours

What is Average speed?

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

In the first 4 hours, you've averaged 33.75 miles per hour, but this is apparently not sustainable, since at 9 hours you've only averaged 36.7 miles/hour.

You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. you've averaged 31.8 miles per hour

So the answer is that your average rate is 36.7 miles per hour over nine hours, although you did manage a faster burst of 50 mph for four hours once.

Learn more about the average speed here :

brainly.com/question/12322912

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Which of the following values are solutions to the inequality
-8 + 2x > -7?
I. – 3
II. - 8
III. 8

*asap please & thank you

Answers

Answer:

III. 8

Step-by-step explanation:

Substituting x with 8 we will have -8 + 2(8), which will be equal to 8, for -8 + 16 is 8. Hence, 8 > -7.

Can someone please help me ASAP it’s due tomorrow!

Answers

Answer:

m=22

Step-by-step explanation:

The angles of the triangle will be equal to 180.

m + 5m + m+26 = 180

Combine like terms

7m+26=180

Subtract 26 on both sides

7m=154

Divide by 7

m=22

Answer:

m=22

Step-by-step explanation:

Triangle has 180 degrees in total

m+5m+(m+26)=180

solve

6m+m+26=180

7m=180-26

7m=154

m=22

Monica is selling a house where she earns a commission equal to 3.25% of the final selling price of the house. If Monica sells a house for $256,000, what is her commission fee?

Answers

Answer:

$8320

Step-by-step explanation:

3.25% of 256000 = 0.0325 × 256000 = 8320

Suppose the fishing spot where kimi Werner goes spear fishing has an area of 946 square yards .If the fishing spot is 43 yards long, how wide is the fishing spot

Answers

Answer:

22 yards

Step-by-step explanation:

..

the sum of a number and 7 is -12

Answers

Answer:

Please put the rest of the answer

Step-by-step explanation:

Answer: 7?

Step-by-step explanation:

Find the measure of angle x.
A.33
B.40
C.45
D.57

Answers

Answer:

A) 33 is answer is sure and fix

Step-by-step explanation:

answer of this qn is 33 option A

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