30, 6
150, 30
180 ................
If you've started pre-calculus, then you know that the derivative of h(t)
is zero where h(t) is maximum.
The derivative is h'(t) = -32 t + 96 .
At the maximum ... h'(t) = 0
32 t = 96 sec
t = 3 sec .
___________________________________________
If you haven't had any calculus yet, then you don't know how to
take a derivative, and you don't know what it's good for anyway.
In that case, the question GIVES you the maximum height.
Just write it in place of h(t), then solve the quadratic equation
and find out what 't' must be at that height.
150 ft = -16 t² + 96 t + 6
Subtract 150ft from each side: -16t² + 96t - 144 = 0 .
Before you attack that, you can divide each side by -16,
making it a lot easier to handle:
t² - 6t + 9 = 0
I'm sure you can run with that equation now and solve it.
The solution is the time after launch when the object reaches 150 ft.
It's 3 seconds.
(Funny how the two widely different methods lead to the same answer.)
The answer is from AL2006
<span>DE=EF hope I helped with your studies :)
</span>
A. = logb (3/7)^1/2
= logb 3^1/2 - logb 7^1/2
= 1/2(logb 3 - logb 7)
b. = log 7x^3 + log y^5
= log 7 + log x^3 + log y^5
= log 7 + 3 log x + 5 log y
The angle m∠UVW can be found using angle of circumference rule in geometry. Therefore, m∠UVW = 67°
<h3 /><h3>Angle on a circumference</h3>
An angle at the circumference of a circle is half the angle at the centre standing on the same arc.
In other words, the angle at the centre of a circle is twice the angle at the circumference.
Therefore,
m∠UVW = 134 / 2
m∠UVW = 67 degrees
learn more on geometry here; brainly.com/question/16836055
#SPJ1
