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Felixthecat8241
29.11.2019 •
Mathematics
Aball is thrown into the air with an upward velocity of 36 ft/s. its height h in feet after t seconds is given by the function h = −16t2 + 36t + 9. in how many seconds does the ball reach its maximum height? round to the nearest hundredth if necessary. what is the ball’s maximum height?
a. 1.13 s; 69.75 ft
b.1.13 s; 29.25 ft
c.2.25 s; 9 ft
d.1.13 s; 31.5 ft
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Ответ:
B) 1.13 s; 29.25 ft
Step-by-step explanation:
Height of the ball h in feet after t seconds is given by the function
Now at maximum height![\frac{\partial h}{\partial t}=0=\frac{\partial( -16t^{2}+36t+9)}{\partial t}=0](/tpl/images/0396/0941/d39ab.png)
=>![\therefore -32t+36=0=t=1.125\, seconds](/tpl/images/0396/0941/6fa59.png)
After rounding to nearest hundredth,![t\simeq 1.13\, seconds](/tpl/images/0396/0941/2f8d3.png)
Height ,![h_{max}=-16t^{2}+36t+9](/tpl/images/0396/0941/53b91.png)
Therefore , t=1.13 s and![h_{max}=29.25 feet](/tpl/images/0396/0941/2a8b2.png)
Thus correct option is B) 1.13 s; 29.25 ft
Ответ:
the expression looks like its missing the x value tbh...
you provided x and y but the expression doesn't
have an x.
so, that applied, 4.02+3(6)
4.02+3(6)
4.02+18
22.02
but if you wrote your expression wrong and you meant to write 4.02x+3y,
than:
4.02(5) + 3(6)
20.1+18
= 38.1
So, if you actually meant 4.02 + 3y, ur answer would be 22.02, but if you meant 4.02x+3y, then your answer would be 38.1