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Nonamiya [84]
1 year ago
13

When a baseball is hit by a batter, the height of the ball, h(t), at time t, t=0, is determined by the equation h(t)=-16t^2+64t+

4. If t is in seconds, for which interval of time is the height of the ball greater than or equal to 52 feet?

Mathematics
2 answers:
Natali [406]1 year ago
6 0
T over x is your starting debut
add 40 from your original answer and divide by two
triplemente the second number and switch your trinomial by three
Alexeev081 [22]1 year ago
5 0

Answer:

The time interval is 1\leq t\leq 3 in which the height of the ball greater than or equal to 52 feet.      

Step-by-step explanation:

We have given,When a baseball is hit by a batter, the height of the ball, h(t), at time t, t=0, is determined by the equation  h(t)=-16t^2+64t+4 where t is time in seconds.

We have to find, If t is in seconds, for which interval of time is the height of the ball greater than or equal to 52 feet?

Solution :  

The equation represented as h(t)=-16t^2+64t+4

Where, t is time in seconds and h is the height.

We can solve the equation by putting h(t)=52

-16t^2+64t+4\geq 52

-16t^2+64t+4-52\geq 0

-16t^2+64t-48\geq 0

-t^2+4t-3\geq 0

-t^2+3t+t-3\geq 0

t(-t+3)-1(-t+3)\geq 0

(t-1)(-t+3)\geq 0

t=1,3

Therefore, The time interval is 1\leq t\leq 3 in which the height of the ball greater than or equal to 52 feet.

Now, We plot the graph of the given equation.

Refer the attached graph below.

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andrey2020 [161]

Answer:

35 is the integer that represents the change in number of gallons of water in the tank after 7 days

Step-by-step explanation:

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Total Leakage = Leakage per day * Total number of days

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= 35 Gallons

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6 0
1 year ago
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Solve for x: three fourths times x plus five fourths equals four times x
denis-greek [22]

Answer:

The value of x for the given expression is \dfrac{5}{13}

Step-by-step explanation:

Given as :

The statement is , three fourths times x plus five fourths equals four times x

So, \dfrac{3}{4} × x + \dfrac{5}{4} = 4 × x

<u>Now, rearranging the equation</u>

i.e 4 x -  \dfrac{3}{4} × x = \dfrac{5}{4}

Or, 4 x -  \dfrac{3 x}{4}  = \dfrac{5}{4}

Or, \dfrac{16 x - 3 x}{4}  = \dfrac{5}{4}

Or, \dfrac{13 x}{4}  = \dfrac{5}{4}

Or, 13 x = \dfrac{5}{4} × 4

Or, 13 x = 5

∴ x = \dfrac{5}{13}

Hence, The value of x for the given expression is \dfrac{5}{13} Answer

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1 year ago
Suppose that 3% of all athletes are using the endurance-enhancing hormone EPO (you should be able to simply compute the percenta
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Answer:

Step-by-step explanation:

So there is a 3% probability that an athlete is using EPO .

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