Answer:
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Step-by-step explanation:
The equation that models the movement of the object is:
Where,
t: time
a: acceleration due to gravity
v0: initial speed
h0: initial height
Suppose that the object falls with zero initial velocity and from a height of 38 feet.
The equation that models the problem is:
Answer:
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Step-by-step explanation:
Hello,
The equation of the parabola is
y=k(x-1)²-9
and -6=k(0-1)²-9==>k=3
x-intercepts is:
y=0==> 3(x-1)²-9=0==>(x-1)²=3
==> x=1+√3 or x=1-√3
Answer:
Plan A and plan B both lasts for 1.25 hours.
Step-by-step explanation:
Trainer has two solo workout plans Plan A and Plan B.
Let the trainer trains for plan A = x hours and for plan B = y hours
As per statement given in the question,
"Dueshan trained his Monday clients for a total of 10 hours"
Equation will be, 3x + 5y = 10 --------(1)
And other statement says,
"Dueshan trained his Tuesday clients for a total of 10 hours"
6x + 2y = 10
3x + y = 5
y = 5 - 3x ----------(2)
Replace the value of y in equation 2 from equation 1.
3x + 5(5 - 3x) = 10
3x + 25 - 15x = 10
25 - 12x = 10
12x = 25 - 10
12x = 15
x = 
x = 1.25 hours
From equation 1
y = 5 - 3×1.25
y = 5 - 3.75
y = 1.25 hours
Therefore, plan A and plan B both lasts for 1.25 hours.
Answer:
96.58
Step-by-step explanation:
The formula for simple interest is ...
I = Prt
where P is the principal, r is the rate, and t is the time period in years.
Exact interest is computed using 365 days per year, so the time period is ...
t = 150/365
Then the interest is ...
I = 2350(0.10)(150/365) = 96.58
First ABC is reflected across the y axis to become A'B'C'
Then A'B'C' is rotated 90 counterclockwise about the origin to make it A"B"C"
Because the transformations are both rigid, the pre-image and image are congruent
Hope this helped
