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Tamiku [17]
4 years ago
11

Samantha threw an apple out of a window from the tenth floor of her apartment building.The equation y=-16t^2+120 can be used to

represent the fruits height above the ground, where t represents time, in seconds, after she threw the Apple. How long did it take the Apple to hit the ground?
Mathematics
2 answers:
Savatey [412]4 years ago
5 0
If the apple is on the ground, then the height y is 0. To find t, just plug in 0 for y:
0=-16t^{2}+120
-120=-16t^{2}
t^{2} =7.5
t=2.74

So the answer is 2.74 seconds.

Note that taking the square root of 7.5, mathematically, gives you both 2.74 and -2.74. But because we know that time did not go backwards, only the positive value for t was considered.
ss7ja [257]4 years ago
3 0
The awnser your looking for is 2. something seconds 
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Distance = Average speed * Time = 48*10 = 480 miles

So, they drove for 480 miles

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4 years ago
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Step-by-step explanation:

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3 0
3 years ago
Jeffery babysits for 4 dollars per hour, he also works as a math tutor for 7 dollars per hour. He is only allowed to work 13 hou
Oksana_A [137]

Given:

Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.

He is only allowed to work 13 hours total per week.

He wants to make at least 65 dollars.

To find:

The system of inequalities to represent this situation.

Solution:

Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.

He is only allowed to work 13 hours total per week.  It means sum of x and y must be less than or equal to 13.

x+y\leq 13

He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.

4x+7y\geq 65

Number of hours can not be negative.

x\geq 0, y\geq 0.

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4 0
3 years ago
Find a polynomial f(x) of degree 4 that has the following zeros.<br> 0, -5, 8, -2
Roman55 [17]

Answer:

The polynomial of the function degree '4'

x⁴ - x³ -46 x² -80x =0

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given zeros are 0 ,-5,8,-2

x =0 , x=-5 ,x=8 and x=-2

(x-0) , ( x+5) , (x-8) and (x+2)

The polynomial function with degree '4'

(x-0)(x-(-5)(x-8)(x-(-2) =0

x ( x+5) (x-8) (x+2) =0

(x² +5x)(x-8)(x+2) =0

(x³ -8 x²+5x² -40 x)(x+2) =0

( x³ -3 x² - 40 x) (x +2) =0

x⁴ + 2 x³ - 3 x³- 6 x²-40 x²- 80 x =0

x⁴ - x³ -46 x² -80x =0

<u><em>Final answer:-</em></u>

The polynomial of the function degree '4'

x⁴ - x³ -46 x² -80x =0    

3 0
3 years ago
Two similar cylinders have surface areas of 24pi cm^2 and 54pi cm^2. The volume of the smaller cylinder is 16pi cm^2. What is th
ankoles [38]

Answer:

Step-by-step explanation:

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6 0
4 years ago
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