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Sphinxa [80]
3 years ago
10

A soccer player heads a ball from a height of 6 feet with an initial vertical velocity of 20 feet per second. The height h in fe

et of the ball is given by h=-16^2+20t+6 where t is the time elapsed in seconds. How long will it take the ball to hit the ground if no other players touch it?
Mathematics
1 answer:
nlexa [21]3 years ago
3 0
WE see that at time t=0 the ball's height is 6 feet so we know the origin of our coordinates is the ground (h=0 feet)  So we need to solve this quadratic equation for the value of t that makes the equation 0.   There will be 2 solutions, one will be right and the other is usually impossible (all quadratics have two roots)
Using the quadratic formula (google it if you're unfamiliar, Brainly's math editor doesn't show things like that too nicely) I get t = 1.5s.  (the other root is -0.25)

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Jill's boat holds 42 containers.Each container can hold 8 big fish. How many big fish can Jill put in her 42 containers?
jek_recluse [69]
The answer is 336 hope I helped
6 0
3 years ago
A soccer player stands in the south east corner of a 72 yard x 65 yard field and kick the soccer ball All the way to a player in
lubasha [3.4K]

Answer:

Using the Pythagorean Theorem:

distance^2 = 72^2 + 65^2

distance^2 = 5,184 + 4,225

distance^2 = 9,409

distance = 97 yards

"round-trip" distance = 97 * 2 = 194 yards

Step-by-step explanation:

4 0
3 years ago
Last question please
MatroZZZ [7]

Let's try an make a formula to make things easy.

_________________________________________________

Look at Andrew's pattern, it goes up 6 every time. Lets look at the 6 times table

6 times table:           6, 12, 18, 24, ...

____________________________________

First think, how would you work out the <u>7</u>th term in the <u>6</u>th times table?

You would do <u>6</u> times <u>7</u>.

So the formula for the 6th times table is:

6n     (where n is the term you want to find out)

_______________________________________

So to get the 9th term in the 6 times table, you would replace the n with 9, like so:

9th term in 6 times table = 6 x 9 = 54

______________________________________

Now lets compare the 6 times table to Andrew's pattern:

6 times table:           6, 12, 18, 24,

Andrew's pattern:     3, 9, 15, 21,

_____________________________________

If you look, you can see that Andrew's pattern is the 6 times table minus 3!

So what would be the formula for Andrew pattern?

---> it would be:  6n - 3   (since it's the 6 times table but minus 3)

_____________________________________

We can use this formula to easily work out the 20th term in Andrew's pattern!:

20th term = 6 x 20 - 3 = 120 - 3 = <u>117</u>    (remember, replace the n with 20)

______________________________________

Now let's make a formula for Ben's pattern!

Ben's pattern goes up in 5s, so lets compare it to the 5 times table:

5 times table:       5, 10, 15, 20

Ben's pattern:       3, 8, 13, 18,

The formula for the 5 times table is 5n, and Ben's pattern is the 5 times table but minus 2.

So the formula for Ben's pattern is: 5n - 2

__________________________________

<u>Now swap out the n for 20</u>  (to get the 20th term):

20th term = 5 x 20 - 2 = 100 - 2 = <u>98</u>

_________________________________________

So Andrew's 20th term is <u>117</u>, and Ben's 20th term is <u>98</u>.

All we do now is subtract them to find the difference:

117 - 98 = <u>19</u>

- - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

Ben's 20th term is smaller by 19!

- - - - - - - - - - - - - - - - - - - - - - - - - -

5 0
3 years ago
Item 9<br> Evaluate <br> (3−1)<br> 3<br> +7(6)−<br> 5<br> 2<br> (3−1)3+7(6)−52<br> .
krok68 [10]
The answer this problem is -247
6 0
3 years ago
X - 2 + 3 =(-2) how do you solve this?
Ket [755]

Answer:

x = -3

Step-by-step explanation:

x-2+3=-2\\x+1=-2\\x=-3

7 0
3 years ago
Read 2 more answers
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