Answer:
After 1.5 second of throwing the ball will reach a maximum height of 44 ft.
Step-by-step explanation:
The height in feet of a ball after t seconds of throwing is given by the function
h = - 16t² + 48t + 8 .......... (1)
Now, condition for maximum height is
{Differentiating equation (1) with respect to t}
⇒ 
seconds.
Now, from equation (1) we get
h(max) = - 16(1.5)² + 48(1.5) + 8 = 44 ft.
Therefore, after 1.5 seconds of throwing the ball will reach a maximum height of 44 ft. (Answer)
Answer: b. y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
time spent on history homework: 20 minutes
time spent on each math problem: 2 minutes
math problem : x
total time spent :y
So, we have to multiply each math problem (x) by the time spent on each math problem and add the 20 minutes spent on history homework.
The expression obtained is equal to the total time spent
Mathematically speaking:
y=2x+20
x can be any real number greater than or equal to 0, ( it would be 0 if there aren't any math problems)
and y is any real number greater than or equal to 20. ( 20 minutes is the minimum time spent if there aren't any math problems)
Answer:
4
Step-by-step explanation:
2N - 3 = 5
2N = 5 +3 = 8
N = 8/2 = 4
Answer:
B) 
Step-by-step explanation:
−x + 3 = 2x - 3
-2x - 2x
___________
−3x + 3 = −3
- 3 - 3
_________
−6 = −3x
__ ___
−3 −3
[Plug this back into both equations above to get the y-coordinate of 1]; 
I am joyous to assist you anytime.
We are given
Firstly, we can find gradient
so, we will find partial derivatives
now, we can plug point (-5,5,2)
so, gradient will be
now, we are given that
it is in direction of v=⟨−3,2,−4⟩
so, we will find it's unit vector
now, we can find unit vector
now, we can find dot product to find direction of the vector
now, we can plug values
.............Answer
