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Alenkasestr [34]
3 years ago
6

Meanwhile, at the ballpark Juan was practicing his hitting while talking to the girls standing around watching. He started telli

ng them how he hit the ball over the 50 foot light tower yesterday. The girls were unsure that he really did that. The formula for this hit is:
H(x)=-16x^2+60x+4 where h is the height of the ball and x is the number of seconds the ball is in the air. How high did Juan actually hit the ball?
Mathematics
1 answer:
Naddik [55]3 years ago
7 0

Answer:

5.2 seconds

Step-by-step explanation:

We want to determine the value of x when h(x) = 0

:

-16x^2 +83x + 4 = 0

:

use quadratic formula to determine the value for x

:

x = ( -83 + sqrt(83^2 - 4*(-16)*4) ) / (2*(-16) = −0.047753182

:

x = ( -83 - sqrt(83^2 - 4*(-16)*4) ) / (2*(-16) = 5.235253182

:

we want the positive value for x since time runs forward

:

the ball hung in the air for approx 5.2 seconds

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Answer: There are 30 gallons of anti freeze of  first brand and 120 gallons of anti freeze of second brand.

Step-by-step explanation:

Since we have given that

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Percentage of anti freeze in mixture = 75%

Total number of gallons of mixture = 150 gallons

We will use " Mixture and Allegation":

 First brand         Second brand

      35%                      85%

                      75%

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

85%-75%         :            75%-35%

    10                :               40

     1                 :                 4

So, Number of gallons of anti freeze in first brand is given by

\dfrac{1}{5}\times 150\\\\=30\ gallons

Number of gallons of anti freeze in second brand is given by

\dfrac{4}{5}\times 150\\\\=40\times 3\\\\=120\ gallons

Hence, there are 30 gallons of anti freeze of  first brand and 120 gallons of anti freeze of second brand.

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4 years ago
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Zanzabum
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If you earn one penny every 10 seconds of your life ,how many dollars would you have after 65 years?
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Step-by-step explanation:

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