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Tpy6a [65]
3 years ago
15

A hang glider pilot accidentally drops her compass from the top of a 400-foot cliff. The height h of the compass after t seconds

is given by the quadratic equation h=−16t2+400. When will the compass hit the ground?
Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0

Answer:

5 seconds

Step-by-step explanation:

H= -16t2 + 400

Hit ground

H=0

0 = -16t2 + 400

0 = -16 ( t2 - 25)

-16

t2 -25 = 0

(t + 5)(t - 5) = 0

t + 5 = 0

- 5 -5

t = -5

t - 5 = 0

+ 5 +5

t = -5

t = 5

5 seconds to hit the ground

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I need help please :(
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Answer:

-(1/3 · 1/3 · 1/3 · 1/3 )

Step-by-step explanation:

-(3)^-4= -1/3 ^4 = -1/81

-(1/3 · 1/3 · 1/3 · 1/3 )= -1/81

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3 years ago
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What is the solution to the system of equations below?
Vanyuwa [196]

Answer:

A. (–8, 2)

Step-by-step explanation:

(1)       y =  ½x + 6  

(2)       y = -¾x –  4     Set (1) = (2)  

½x +   6 = -¾x –  4     Multiply each side by 4

2x  + 24 = -3x – 16     Add 16 to each side

2x  + 40 = -3x              Subtract 2x from each side  

        40 = -5x              Divide each side by -5

(3)       x = -8                 Substitute (2) into (1)

          y = ½(-8)  +6

             = -4 + 6

             =  2

The solution to the system of equations is (-8 ,2).

You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).

Check:

2 = ½(-8) + 6     2 = -¾(-8) - 4

2 = -4 +6           2 = 6 - 4

2 = 2                 2 = 2

8 0
3 years ago
Irri is traveling in a group of 888 cat warriors. Each cat needs 444 liters of milk per day to maintain good morale. Mirri has a
tatiyna

Answer:

3.25 days

Step-by-step explanation:

Irri is traveling in a group of 8 cat warriors. Each cat needs 4 liters of milk per day to maintain good morale.

The total number of liters for the cat is calculated as:

8 × 4 liters of milk

= 32 liters of milk.

Another cat has enough milk to last for 2days.

= 4 liters of milk × 2 days

= 8 liters

Mirri has a supply of 96 liters of milk.

Total liters of milk = 96 liters + 8 liters

= 104 liters

Which equation can we use to find the total number of days the milk will last?

This is calculated as:

= 104 liters/32 liters

= 3.25 days

7 0
3 years ago
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