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zhannawk [14.2K]
1 year ago
15

a ball is dropped from a height of 20 feet above the ground. The velocity v(s) of the ball after it has travelled a distance of

s feet is modeled by the function v(s)=60s. what is the domain of the function v(s) in terms of the context?
Mathematics
1 answer:
Lana71 [14]1 year ago
4 0
<h2>We know that</h2>

The initial height is 20 feet above the ground.

The function to model the velocity is

v(s)=60s

Where <em>s</em> represents the distance in feet.

Mathematically, this function has all real numbers as a domain. However, that will no make sense for this situation, because it would use negative numbers for the distance <em>s</em> which does not make sense.

Therefore, the domain, in this case, would be all real numbers greater than or equal to zero, but less than or equal to 20.

<em>The reason for this domain is that the ball will go from 20 feet above the ground to zero feet on the ground.</em>

<em />

Using interval notation would be

D\colon\lbrack0,20\rbrack

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Can someone please help me
Kaylis [27]

9514 1404 393

Answer:

  1. 125 in²
  2. 676 km²
  3. 20 square units

Step-by-step explanation:

The Pythagorean theorem tells you the square on the hypotenuse is equal to the sum of the squares on the other two sides. (This is the version you use for problem 2.)

This also means the square on one side is the difference between the square on the hypotenuse and the square on the other side. (Use this version for problems 1 and 3.)

1. ? = 200 in² -75 in² = 125 in²

2. ? = 576 km² + 100 km² = 676 km²

3. ? = 36 square units - 16 square units = 20 square units

4 0
3 years ago
Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo
MAXImum [283]

Answer:

<h3><em>D. 880 = 45d + 70; 18 days.</em></h3>

Step-by-step explanation:

We are given fixed monthly charge = $70.

The cost of preschool per day = $45.

Number of days = d.

Total cost of d days = cost per day × number of days + fixed monthly charge.

Therefore, we get equation

880 = 45×d+70

<h3>880 = 45d +70.</h3>

Now, we need to solve the equation for d.

Subtracting 70 from both sides, we get

880-70 = 45d +70-70

810=45d

Dividing both sides by 45, we get

\frac{810}{45} =\frac{45d}{45}

18=d.

Therefore,<em> 18 days Barry attended preschool last month.</em>

<em>Therefore, correct option is D option.</em>

<h3><em>D. 880 = 45d + 70; 18 days.</em></h3>
4 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
elixir [45]

Answer:

20 degrees

Step-by-step explanation:

8 0
2 years ago
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Fareed wants to add 1/4 +5/8 Add the fractions by using the giant one to create a common denominator
saul85 [17]

Hi!

This question is about math.

\frac{1}{4}+\frac{5}{8}

<u><em>Least Common Factor 4 or 8: 8</em></u>

<u><em>Factors of 4 : 1, 2, 4 (prime factorization) (2*2)</em></u>

<u><em>Factors of 8: 1, 2, 4, 8 (prime factorization) (2*2*2)</em></u>

<u><em>Least Common Factor of a,b is the smallest positive number that divisible by both a and b.</em></u>

<em>Multiply each factor the greatest number of times it occurs in either 4 or 8.</em>

<em>Then multiply by the numbers.</em>

2*2*2

=8

<em>Multiply each numerator by the same amount needed to multiply its corresponding denominator to turn it into the Least Common Factor of 8.</em>

<em>For 1/4 multiply the denominator and numerator by the 2.</em>

\frac{1}{4}=\frac{1*2}{4*2}=\frac{2}{8}

\frac{2}{8}+\frac{5}{8}

<em>Since the denominator are equal, combine the fractions.</em>

\frac{2+5}{8}

<em>Add the numbers 2+5=7</em>

=\frac{7}{8}

Hope this helps! Thank you for posting your question at here on Brainly. Have a great day.

-Charlie

6 0
3 years ago
Nick was thinking of a number. Nick halves the number and gets an answer 27.3. Form an equation with X from the information
Marat540 [252]

Answer:

\frac{x}{54.6} =27.3

Step-by-step explanation:

I don't know if this was the answer you were looking for but there you go, there are many other possibilities you could also use.

6 0
3 years ago
Read 2 more answers
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