Answer:
The snowiest city receive 347.7 inches on average each year.
Step-by-step explanation:
We want to find the amount of snow the snowiest city receives on average every year, "x". It is known that this city receives 113.9 more inches than the second snowiest, which receives 223.8 inches on average every year. Therefore, the expression for "x" is:
![x = 233.8 + 113.9\\x = 347.7 \text{ inches}](https://tex.z-dn.net/?f=x%20%3D%20233.8%20%2B%20113.9%5C%5Cx%20%3D%20347.7%20%5Ctext%7B%20inches%7D)
The snowiest city receive 347.7 inches on average each year.
Answer:
t = 13.2 s
Step-by-step explanation:
Given that,
An athlete ran the 100 meter sprint in 13.245 seconds. We need to round off the time to the nearest tenth.
Here, t = 13.245 s
In order to round off to the nearest tenth, thousandths place and hundredth place gets eliminated.
So, t = 13.2 s
So, time is 13.2 seconds.
Answer:
Step-by-step explanation:
Given
Height of building is ![h=110\ ft](https://tex.z-dn.net/?f=h%3D110%5C%20ft)
Initial upward velocity ![u=23\ ft/s](https://tex.z-dn.net/?f=u%3D23%5C%20ft%2Fs)
height of object is given by
![z(t)=ut+\frac{1}{2}gt^2](https://tex.z-dn.net/?f=z%28t%29%3Dut%2B%5Cfrac%7B1%7D%7B2%7Dgt%5E2)
but building is already at a height of 110 ft so z(t) must be given by
![Z(t)=ut+\frac{1}{2}(-g)t^2+110](https://tex.z-dn.net/?f=Z%28t%29%3Dut%2B%5Cfrac%7B1%7D%7B2%7D%28-g%29t%5E2%2B110)
![Z(t)=23\times t-\frac{1}{2}\times 9.8\times t^2](https://tex.z-dn.net/?f=Z%28t%29%3D23%5Ctimes%20t-%5Cfrac%7B1%7D%7B2%7D%5Ctimes%209.8%5Ctimes%20t%5E2)
![Z(t)=-16t^2+23t+110](https://tex.z-dn.net/?f=Z%28t%29%3D-16t%5E2%2B23t%2B110)
Time when it hits is given by when Z(t)=0[/tex]
![-16t^2+23t+110=0](https://tex.z-dn.net/?f=-16t%5E2%2B23t%2B110%3D0)
![t=\frac{-23\pm \sqrt{(23)^2-4\times (-16)\times 110}}{2\times (-16)}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-23%5Cpm%20%5Csqrt%7B%2823%29%5E2-4%5Ctimes%20%28-16%29%5Ctimes%20110%7D%7D%7B2%5Ctimes%20%28-16%29%7D)
![t=\frac{-23\pm 87}{-32}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-23%5Cpm%2087%7D%7B-32%7D)
![t=3.43\ s](https://tex.z-dn.net/?f=t%3D3.43%5C%20s)
Yearly salary would be 240,000 for 5,000 and 48,000 for 1,000 a week
Answer + Step-by-step explanation:
the inequality by finding the boundary line, then shading the appropriate area.
y > − 5/2x − 5
(anything in shaded region)