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shutvik [7]
3 years ago
13

A meteorologist reports that the ratio of snowfall in January to total snowfall during the average winter is 2 to 5. If 34 inche

s have falled in January of the current year, find the predicted total snowfall for the entire winter.
Mathematics
1 answer:
I am Lyosha [343]3 years ago
8 0
First write out the proportions/ratios, and use x for the unknown number.
2:5 = 34:x
Then, you find out how much more 34 is from 2, so divide 34 by 2. 
The answer will be 17, which means, the proportions is 17 times of everything.
So to find out for the x, you multiply 5 by 17 since everything is 17 times more.
5 x 17 = 85
The final ratio will be:
2:5 = 34:85
We can say that 17 times more snow has snowed that year since comparing the January snowfall, it shows that 34 is 17 times more of 2. So to predict the total snowfall, we multiply the 5 by 17, since like I said before, the amount of snowfall is 17 times more than before. Therefore, 5 multiplied by 17 equals to 85. The predicted total snowfall for the entire year will be 85 inches.
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I suspect 4/2 should actually be 4/3, since 4/2 = 2, while 4/3 would make V the volume of a sphere with radius r. But I'll stick with what's given:

\displaystyle \frac{dV}{dr} = \lim_{h\to0} \frac{2\pi(r+h)^3-2\pi r^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{(r^3+3r^2h+3rh^2+h^3)- r^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{3r^2h+3rh^2+h^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} (3r^2+3rh+h^2)

\displaystyle \frac{dV}{dr} = 2\pi \cdot 3r^2 = \boxed{6\pi r^2}

In Mathematica, you can check this result via

D[4/2*Pi*r^3, r]

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3 years ago
36x-2 + 34x+2 = 180 solve
nikklg [1K]

Answer:

First, collect the like terms

36x+34x=180+2-2

Solve,

74x=180

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When you round it, it will be approximately,

x≅2.43

Step-by-step explanation:

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Answer:

t = 9

Step-by-step explanation:

11t - 6t = 45

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t = 9

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The surface area of this rectangular prism is 34 square centimeters. What is the volume is the width is 1 cm, the length is 2 cm
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Answer: 10\ cm^3

Step-by-step explanation:

Given

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Width of prism w=1\ cm

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Surface area is given by

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Put values

34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm

Now, the volume of Prism is given by

V=l\times w\times h

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