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Alexxx [7]
3 years ago
13

Two identical rubber balls are dropped from different heights. Ball 1 is dropped from a height of 109 feet, and ball 2 is droppe

d from a height of 260 feet. Use the function f(t) -16t^2+h to determine the current height, f(t), of a ball from a height h, over given time t.
When does ball 1 reach the ground? Round to the nearest hundredth​
Mathematics
2 answers:
Natalija [7]3 years ago
4 0

Answer:  5.22 seconds

<u>Step-by-step explanation:</u>

t represents time and y represents the height.

Since we want to know when the ball hits the ground, find t when y = 0

Ball 1 starts at a height of 109 --> h = 109

0 = -16t² + 109

16t² = 109

   t^2=\dfrac{109}{16}\\

   t=\sqrt{\dfrac{109}{16}}

   t=\dfrac{\sqrt{109}}{2}

   t = 5.22

Nimfa-mama [501]3 years ago
3 0
<h2>Answer:</h2>
  • Let us assume "H" height here, "t" as time.

=> H = 109

=> 0 = -16t² + 109

=> 16t² = 109

=> t² = 109/16

=> t = 109/2

=> t = 5.22 sec

<u>Therefore, 5.22 second is the answer</u>.

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I can’t figure this out
patriot [66]

Answer:

m \leq 4.3

Step-by-step explanation:

We need to get m on one side all by itself. To achieve this, let's subtract both sides by 1.2 to get m \leq 5.5-1.2 \implies m \leq 4.3.

7 0
3 years ago
When i have a negative plus a positive of the same number , what is that called ?
Lady bird [3.3K]

Answer: Integer

Step-by-step explanation: The answer would be integer

3 0
3 years ago
The product of two consecutive odd integers is 782. What are the integers?
Alex Ar [27]

Call the smaller of the two odds = n

Call the next number in the sequence = n + 2

n*(n +2) = 782           Remove the brackets.

n^2 + 2n = 782          Subract 782 from both sides.

n^2 + 2n - 782 = 0    We are going to have to factor this.

Discussion

This problem can't be done the way it is written. The product of an odd integer with another odd integer is and odd integer. There are no exceptions to this. So you need to give a number that has two factors very near it's square root for this question to work.

For example, you could use 783, (which factors) instead of 782 .

Solve

n^2 + 2n - 783 = 0

(n + 29)(x - 27) = 0

<u>Solution One</u>

n - 27 = 0

n = 27

The two odd consecutive integers are 27 and 29.

<u>Solution Two</u>

n + 29 = 0

n = - 29

The two solution integers are -29 and - 27 Notice that - 29 is smaller than - 27.

7 0
3 years ago
Need help fast please
iris [78.8K]

Answer:

c.

Step-by-step explanation:

7 0
3 years ago
What is the rule when you multiply several factors together? an even number of negative signs will result in
IrinaVladis [17]
⓵
When multiplying several factors together, an even number of negative signs will result in a positive answer.

↠ Because when you multiply two negative signs together, the negative signs turn into a positive sign, giving you a positive answer.

↠ If you have an even number of negative signs to multiply, then all your negative signs will be turned into positive signs, giving you a positive answer!

⓶
When multiplying several factors together, an odd number of negative signs will result in a negative answer.

↠ Because when you multiply a negative sign by a positive sign, the negative sign always wins, giving you a negative answer.

↠ If you har an odd number of negative signs to multiply, this means that once you are done multiplying all of the negative signs together except for the last one, you will be multiplying a positive sign with a negative sign.

↠ Here’s another way to see it : if you have 5 negative signs to multiply together, you will start by multiplying the first 2, which will give you a positive result. Then you will multiply the third and the fourth negative signs together, which will also give you a positive result. By that time, you will have two positive signs and one negative sign left, which means you will have no choice but to multiply a positive sign by the last negative sign, resulting in a negative answer!

I hope this helps! If you need a visual example, just tell me, it will be my pleasure! ☻
4 0
3 years ago
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