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Eddi Din [679]
2 years ago
11

20 points

Mathematics
1 answer:
Slav-nsk [51]2 years ago
8 0

Answer:

grade 5 palang po ako di ko po alam yan sowey po

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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
Snezhnost [94]

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



5 0
3 years ago
Read 2 more answers
I'm one centimeter grid paper draw a 6 by 2 centimeter rectangle what is the perimeter of the rectangle and what is the area of
swat32
6x2=area
6+6+2+2=perimater
3 0
3 years ago
Plzzzzz ill make u brainliest like frfr
Luden [163]

Answer:

3,520 yds in 2 hours

Step-by-step explanation:

5,280:1 ; 1 mile an hour is 5,280 feet in an hour

10,560:2 ; 2 miles in 2 hours is 5,280+5,280 (10,560) feet in 2 hours

3 ft = 1 yd ; every 3 feet is a yard, so divide 10,560 by 3

10,560/3 = 3520 yds ; Jorge can walk 3,520 yds in 2 hours

6 0
3 years ago
A land owner is planning to build a fenced-in, rectangular patio behind his garage, using his garage as one of the "walls." He
Vitek1552 [10]

Answer:

Maximum area = 800 square feet.

Step-by-step explanation:

In the figure attached,

Rectangle is showing width = x ft and the side towards garage is not to be fenced.

Length of the fence has been given as 80 ft.

Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced

80 = x + x + y

80 = 2x + y

y = (80 - 2x)

Now area of the rectangle A = xy

Or function that represents the area of the rectangle is,

A(x) = x(80 - 2x)

A(x) = 80x - 2x²

To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.

A'(x)=\frac{d}{dx}(80x-2x^{2})

             = 80 - 4x

A'(x) = 80 - 4x = 0

4x = 80

x = \frac{80}{4}

x = 20

Therefore, for x = 20 ft area of the rectangular patio will be maximum.

A(20) = 80×(20) - 2×(20)²

         = 1600 - 800

         = 800 square feet

Maximum area of the patio is 800 square feet.

7 0
3 years ago
Look at this graph:<br> y<br> :<br> Is this relation a function?<br> yes<br> no<br> Submit
iren [92.7K]

Answer:

Yes

Step-by-step explanation:

3 0
2 years ago
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