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AVprozaik [17]
3 years ago
9

In t hours the train has traveled s miles. Find the formula for v, the speed of the train (in mph) in terms of t and s. Find the

value of v when:
t=3, s=180
Mathematics
1 answer:
Finger [1]3 years ago
7 0

Answer:

Speed of the train is 60 mph.

Step-by-step explanation:

Given:

In t hours the train has traveled s miles.

t= 3 hrs

s= 180 miles

W need to find the formula for v, the speed of the train (in mph) in terms of t and s.

Also we need to calculate v.

Now by the definition of speed which is stated below.

"Speed is defined as the distance covered by an object per unit time."

"So, mathematically, speed of train v mph is equal to distance traveled by the train s miles divided by time t hours which it takes to cover the distance."

v=\frac{s}{t}\\

Now Substituting given values of t and s in above equation we get.

v= v=\frac{180}{3}=60 \ mph

Speed of the train is 60 mph

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Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water
galben [10]

Answer:

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

         = 624,305,840,400 \times  0.9167  

         = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

      = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

      =  0.0033

      = 0.33%

Step-by-step explanation:

i) acres to square feet :    1 acre = 43560 square feet

  therefore 14,332,090 acres  = 624,305,840,400 square feet

ii) 1 mile  = 5280 feet

   1 cubic mile  = 5280 \times 5280 \times 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles  = 173,693,585,360,000 cubic feet

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

    = 624,305,840,400 \times  0.9167   = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

  = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

   =  0.0033

  = 0.33%

7 0
3 years ago
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2 years ago
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Answer choices
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A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what's the altitude of the cylinder? Rou
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</span>


4 0
3 years ago
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