<h3><u>Question:</u></h3>
The formula h = 120t-16t^2 gives the height h in feet of an object t seconds after it is shot upward from Earth's surface with an initial velocity of 120 feet per second. What will the height of the object be after 6 seconds?
<h3><u>Answer:</u></h3>
The height of object after 6 seconds is 144 feet
<h3><u>Solution:</u></h3>
<em><u>The formula that gives the height of an object is:</u></em>
Where,
h is the height in feet and t is the time in seconds
To find: height of the object be after 6 seconds
To find the height of the object be after 6 seconds, substitute t = 6
Thus height of object after 6 seconds is 144 feet
Step-by-step explanation:
5⁵/5⁸
= 5^5-8
= 5^-3
or
(-5)×(-5)×(-5)
= -125
By the law
a^m÷ a^n = a^m-n
Answer: 223.77 minutes
Step-by-step explanation:
For this exercise you need to use the following formula:
Where 
is the individual time for object A, 
is the individual time for object B and 
is the time for A and B working together.
In this case, analizing the information given in the exercise, you can identify that:
Knowing these values you can substitute them into the formula and then you must solve for "t" in order to calculate how long will it take working together.
You get that this is:
Answer:
Step-by-step explanation:
we should multiply the 1/8 on the 2nd equation, by some number "n", such that our result will be equals to -3/4, namely the above x-coefficient but negative, or different sign, so (rest of the explanation is in the picture attached)
Answer: The width of the playing field = 45 ft
length of playing fiels = 86ft
Step-by-step explanation:
Step 1
Perimeter of rectangular field is given as 2 ( L+ b)
Let the width be represented as x
such that the length = 41 ft longer than the width be x+ 41
To find the length and breadth
Step 2
Perimeter = 2( L+ b)= 2l + 2b
Perimeter = 2 (x+41 ) + 2 x = 262
2x + 82 + 2x= 262
4x+ 82= 262
4x= 262 - 82
4x= 180
x= 180/4
x= 45
width= 45 ft
length = x+ 41= 45+ 41= 86ft
