When the football is 81 feet high, it will be √ 3 / 8 seconds
<h3>Function</h3>
Function relates input to output. Therefore,
Therefore,
t = number of seconds
h(t) = - 16t² + 75
h(t) = 81 ft
Therefore,
81 = - 16t² + 75
- 16t² = 81 - 75
- 16t² = 6
divide both sides by -16
t² = 6 / -16
t² = - 3 / 8
square root both sides
t = √ 3 / 8 seconds
learn more on function here: brainly.com/question/4418459
Answer is D or the last choice
The answer in slope intercept form is y = 6x-11
If you want the answer in standard form, then it would be 6x-y =11
notes:
* Slope intercept form is y = mx+b
* Standard form is Ax+By = C
=====================================
Explanation:
The given slope is m = 6
The line goes through (x,y) = (3,7)
Plug those three values into the equation below. Isolate b
y = mx+b
7 = 6*3+b
7 = 18+b
7-18 = 18+b-18 ... subtract 18 from both sides
-11 = b
b = -11
So because m = 6 and b = -11, this means y = mx+b turns into y = 6x-11
The answer in slope intercept form is y = 6x-11
To convert to standard form Ax+By = C, we just have to get all the x and y terms together on the same side. I'm going to move the y term to the right side and move the 11 to the left side
y = 6x-11
y+11 = 6x-11+11
y+11 = 6x
y+11-y = 6x-y
11 = 6x-y
6x-y = 11
The answer in standard form is
6x-y = 11
which is a different way to write the same line
Answer:
This circumference of the pond is 2πr (or 2π48), which equals 301.44m(assumine pi is 3.14). How long it takes to walk around depends on the rate of speed.
Answer:
L(t) = 5·sin(πt) +7
Step-by-step explanation:
The middle of the oscillation of the given function occurs when t=0. At that point, ...
L(0) = d = 7
The next maximum of the oscillation occurs when the argument of the sine function is π/2.
b·t = π/2
b = π/(2t) = π/(2·0.5) = π
At that maximum, the length is 12, so we have ...
L(0.5) = a·sin(0.5π) +7 = 12
a = 5
The function L(t) is ...
L(t) = 5·sin(πt) +7
