The height that a ball reaches at a certain time t is given by the equation,
h = 2 - 15t + 5t²
We are asked to compute for the values of t that would allow the ball to reach a height of 7 meters.
Substitute the 7 to the equation,
7 = 2 - 15t + 5t²
Transposing,
5t² - 15t - 7 + 2 = 0
Simplifying,
5t² - 15t - 5 = 0
Divide the equation by 5,
t² - 3t - 1 = 0
The values of t can be calculated through the quadratic formula,
t = (-b +/- sqrt(b² - 4ac))/2a
Substituting,
t = (3 +/-sqrt (9 - 4(-1)) / 2(1)
t = 3.3 or t = -0.30
Since, we cannot have t as a negative number hence, our final answer is:
<em> t = 3.3 s</em>
Answer:
I'm sure there might be a typo in the question (AKA the slope is -5/2)
but the answer would be
D
Step-by-step explanation:
y= mx+ b
where m is the slope, and b is the y intercept
y= -52x -2
..........
5x + 2y = –4
2y= -5x -4
y= - 5/2x -2
The answer is 60 surprisingly
Let x = liters 20% solution to be added
then
.12(12) + .20x = .14(12+x)
.12(12) + .20x = .14(12+x)
1.44 + .20x = 1.68 + .14x
.20x = .24 + .14x
.06x = .24
x = 4 liters
Hope this helped!!
Answer:
The answer is 1/10
Step-by-step explanation:
Let us take the Shaded region be x
So,
2/5 + x = 1/2
Now, Solve for x
x + 2/5 = 1/2
5x + 2/5 = 1/2
2(5x + 2) = 5(1)
10x + 4 = 5
10x + 4 – 4 = 5 – 4
10x= 1
10x/10 = 1/10
x = 1/10
Thus, The value of x is 1/10
<h3>
<u>For</u><u> Verification</u>;</h3>
2/5 + x = 1/2
2/5 + 1/10 = 1/2
2 × 2/5 × 2 + 1/10 = 1/2
4/10 + 1/10 = 1/2
4 + 1/10 = 1/2
5/10 = 1/2
1/2 = 1/2
L.H.S = R.H.S
Hence Verified!
<u>-TheUnknownScientist</u><u> 72</u>
