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Oksana_A [137]
2 years ago
5

A diver jumps off a 20 foot high diving board with an initial upward velocity of 4 feet per second. Use the vertical motion mode

l
h=-16t² + vt + s.
PART A:
Using the information above, the vertical motion model of the diver is h-

PART B:
The solutions of the model are t =
and t=

PART C:
Choose the letter that best fits the scenario.
A. There are no real solutions, because the solutions found do not make sense.
B. There is only one solution, because the solutions indicate time and time cannot be negative.
C. There are two solutions, because when solving, there were two solutions that occurred.
D. None of the above because there is not enough information.
Answer: ______
Mathematics
1 answer:
Pachacha [2.7K]2 years ago
7 0

The height is represented by h = -16t² + 4t + 20 and There is only one solution, because the solutions indicate time and time cannot be negative.

<h3>How to solve vertical motion models?</h3>

We are given the vertical model of the diver's jump as;

h = -16t² + vt + s

where;

h is height

t is time

v is velocity

s is distance

A) We are given;

Distance; s = 20 ft

velocity; v = 4 ft/s

Thus;

h = -16t² + 4t + 20

B) The solution of the model is gotten from;

-16t² + 4t + 20 = 0

Solving this quadratic equation gives;

t = 1.25 seconds or -1 second

C) B. There is only one solution, because the solutions indicate time and time cannot be negative.

Read more about Vertical Motion Models at; brainly.com/question/27526920

#SPJ1

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2/18 +15/18 =17/18?
NeX [460]

Answer:

17/18

Step-by-step explanation:

2 /18  +  15 /18

=  2 /18  +  15/ 18

=  2+15 /18

=  17 /18

4 0
4 years ago
Naomi and Sofia go to the movie theater and purchase refreshments for their friends. Naomi spends a total of $111.25 on 9 drinks
NeTakaya

Answer:

111.25=9x+8y

33.25=3x+2y

Cost of 1 popcorn bag  = $5.75


Step-by-step explanation:

We are given that Naomi spends a total of $111.25 on 9 drinks and 8 bags of popcorn and Sofia spends a total of $33.25 on 3 drinks and 2 bags of popcorn.

We need to find system of equations that can be used to find the price of one drink and the price of one bag of popcorn.

Let cost of 1 drink = $x

So, cost of 9 drinks = $9x

So,cost of 3 drinks = $3x

Now, Let cost of 1 popcorn bag = $y

So,Cost of 8 popcorn bags = $8y

So,Cost of 2 popcorn bags = $2y

Since Naomi spends a total of $111.25 on 9 drinks and 8 bags of popcorn.

So, equation will be : 111.25=9x+8y  --(A)

Since, Sofia spends a total of $33.25 on 3 drinks and 2 bags of popcorn.

Thus, equation will be :  33.25=3x+2y--(B)

We will solve A and B by using substitution method

Finding value of x from equation B :

x = (2y-33.25)/3

Putting this value in Equation (A)

⇒111.25=9{(2y-33.25)/3}+8y

⇒111.25=99.75-6y+8y

⇒111.25=99.75+2y

⇒y = 5.75

Hence cost of 1 popcorn bag =y = $5.75

Now put value of y in equation A to get value of x

⇒111.25=9 x+8(5.75)

⇒111.25-46 = 9x

⇒65.25 = 9x

⇒65.25/9 = x

⇒$7.25 = x

Hence, The cost of 1 drink = $x = $7.25



6 0
3 years ago
Solve 7^ x-1 = 49 ^4-x
Rudiy27

Answer:

Step-by-step explanation:

4 0
3 years ago
Abigail colors 80% of the total shapes on her paper. She colors 36 shapes. Enter the number of shapes on Abigail's paper.
mestny [16]

Answer:

Step-by-step explanation:

We can set up the following equation:

\frac{80}{100} = \frac{36}{N}

where N is the total number of shapes on Abigail's paper.

Let's first multiply both sides by N:

\frac{80N}{100} = 36

Next, let's multiply both sides by 100:

80N = 3600

Finally, let's divide both sides by 80:

N = 45

3 0
3 years ago
What is vertical angle
storchak [24]

Vertical angle is when opposite angles meet in the middle of two intersecting lines (share the same vertex). They are equal to each other too.

Hope this helps! :)

7 0
4 years ago
Read 2 more answers
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