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3 years ago

Need help will give 5 stars.

Mathematics

2 answers:

olga_2 [115]3 years ago

7 0

Answer:

t=0.64

Step-by-step explanation:

h = -16t^2 +4t +4

We want h =0 since it is hitting the ground

0 = -16t^2 +4t +4

Using the quadratic formula

a = -16 b = 4 c=4

-b ± sqrt( b^2 -4ac)

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

-4 ± sqrt( 4^2 -4(-16)4)

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

2(-16)

-4 ± sqrt( 16+ 256)

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

-32

-4 ± sqrt( 272)

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

-32

-4 ± sqrt( 16*17)

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

-32

-4 ± sqrt( 16) sqrt(17)

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

-32

-4 ± 4 sqrt(17)

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

-32

Divide by -4

1 ± sqrt(17)

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

To the nearest hundredth

t=-0.39

t=0.64

Since time cannot be negative

t=0.64

ICE Princess25 [194]3 years ago

5 0

Answer:

0.64

Step-by-step explanation:

0 = -16t^2 + 4t + 4

-4(4t^2 - t -1) = 0

t = [-(-1) +/- sqrt (1 - 4*4*-1)] / 8)

t = 0.64, -0.39

answer is 0.64

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a) The solution for the equation 2x + 16 = 5x + 4 is x=4.

b) The solution for the equation 3x − 5 = 2x + 14 is x=19.

c) The solution for the equation 5x − 5 = x + 15 is x=5.

Step-by-step explanation:

a) The given equation is 2x + 16 = 5x + 4

From the above equation, it can be found that the equation consists of x terms and constant terms.
Therefore, bring all the x terms on one side and the constant terms on other side of the equation.
This gives the simplified form of the equation to solve for x value.

⇒ 16-4 = 5x-2x

⇒ 12 = 3x

⇒ x = 12/3

⇒ x = 4

The solution for the given equation is x=4.

To check, substitute x=4 in the equation :

2(4) + 16 = 5(4) + 4

8+16 = 20+4

24 = 24

Therefore, the solution x=4 satisfies the equation 2x + 16 = 5x + 4

Similarly,

b) The given equation is 3x − 5 = 2x + 14

⇒ 3x-2x = 14+5

⇒ x = 19

The solution for the given equation is x=19.

To check, substitute x=19 in the equation :

3(19) - 5 = 2(19) + 14

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52 = 52

Therefore, the solution x=19 satisfies the equation 3x − 5 = 2x + 14

Similarly,

c) The given equation is 5x − 5 = x + 15

⇒ 5x-x = 15+5

⇒ 4x = 20

⇒ x = 20/4

⇒ x = 5

The solution for the given equation is x=5.

To check, substitute x=5 in the equation :

5(5) - 5 = 5 + 15

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20 = 20

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Akimi4 [234]

The question might have some mistake since there are 2 multiplier of t. I found a similar question as follows:

The population P(t) of a culture of bacteria is given by P(t) = –1710t^2+ 92,000t + 10,000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.

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Step-by-step explanation:

Equation of population P(t) = –1710t^2+ 92,000t + 10,000

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dP/dt = -2(1710)t + 92000

= -3420t + 92000

Find the critical value by equating dP/dt = 0

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Check if it really have max value through 2nd derivative

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So, the time when it is maximum is 26.9 or 27 hours

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