The volume of the rectangular prism:
V = length × width × height
![60x^3+145x^2+70x=5x(12x^2+29x+14)=5x(12x^2+21x+8x+14)\\\\=5x[3x(4x+7)+2(4x+7)]=5x(4x+7)(3x+2)](https://tex.z-dn.net/?f=60x%5E3%2B145x%5E2%2B70x%3D5x%2812x%5E2%2B29x%2B14%29%3D5x%2812x%5E2%2B21x%2B8x%2B14%29%5C%5C%5C%5C%3D5x%5B3x%284x%2B7%29%2B2%284x%2B7%29%5D%3D5x%284x%2B7%29%283x%2B2%29)
Answer:
Answer:
0.675 m/s
Step-by-step explanation:
Let height of shadow= y,CD=x
Height of man=2 m
Speed of man= 

Therefore, 


Differentiate w.r.t t



When the man is 4 m from the building
Then, we have x=12-4=8 m

Substitute the values in above equation then, we get


Substitute the values then we get

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.
Answer:
3???
Step-by-step explanation:
Answer: 875 is the answer for your question
350 x 2.5 = 875 or 875 divided by 2.5 = 350
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The two-sided alternative hypothesis is appropriate in this case, the reason being we are asked "does the data indicate that the average body temperature for healthy humans is different from 98.6◦........?".
The test statistic is:

Using an inverse normal table, and halving

for a two-tailed test, we look up

and find the critical value to be Z = 2.5758.
Comparing the test statistic Z = -5.47 with the rejection region Z < -2.5758 and Z > 2.5758. we find the test statistic lies in the rejection region. Therefore the evidence does not indicate that the average body temperature for healthy humans is different from 98.6◦.