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Fofino [41]
3 years ago
5

Jerald jumped from a bungee tower. If the equation that models his height, in feet, is h = –16t2 + 729, where t is the time in s

econds, for which interval of time is he less than 104 feet above the ground?

Mathematics
2 answers:
Snezhnost [94]3 years ago
5 0

Answer. First option: t > 6.25


Solution:

Height (in feet): h=-16t^2+729

For which interval of time is h less than 104 feet above the ground?

h < 104

Replacing h for -16t^2+729

-16t^2+729 < 104

Solving for h: Subtracting 729 both sides of the inequality:

-16t^2+729-729 < 104-729

-16t^2 < -625

Multiplying the inequality by -1:

(-1)(-16t^2 < -625)

16t^2 > 625

Dividing both sides of the inequality by 16:

16t^2/16 > 625/16

t^2 > 39.0625

Replacing t^2 by [ Absolute value (t) ]^2:

[ Absolute value (t) ]^2 > 39.0625

Square root both sides of the inequality:

sqrt { [ Absolute value (t) ]^2 } > sqrt (39.0625)

Absolute value (t) > 6.25

t < -6.25 or t > 6.25, but t can not be negative, then the solution is:

t > 6.25



arlik [135]3 years ago
5 0

the answer is the first choice t > 6.25

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Amanda spent a total of 70 minutes competing her chores this week. Write and solve an equation to represent the number of minute
gtnhenbr [62]

Answer:

28 minutes spent in washing the dishes.

Step-by-step explanation:

Given the table

Chore             time in minutes

Sweeping           42

Dishes                  ?

Amanda spent a total of 70 minutes competing her chores this week

Total of 70 minutes spent

42 minutes spent in sweeping . to find the number of minutes Amanda spent in washing the dishes , subtract 42 minutes from the total time spent

let x be the number of minutes spent washing the dishes

42+x=70

To solve for x , subtract 42 from both sides

42+x=70\\x= 70-42\\x=28

28 minutes spent in washing the dishes.

4 0
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Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Lou​'s car had 6.8
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Answer: You have the following information given in the problem above:

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One number is 6 more than twice the other number. If the sum of the two numbers is ​21, find the two numbers
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Answer:

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x= 2y+6

x+y=21

We're left with a system of equations.

If we substitute the first equation in the second we find the value of y.

(2y+6)+y=21

3y+6=21

3y=15

<u><em>y=5</em></u>

Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.

x+ (5)=21

<u><em>x=16</em></u>

<u><em>Now to check if our answers are correct, we plug in both values into any equation and see if they equate.</em></u>

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