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Travka [436]
3 years ago
14

he differential equation below models the temperature of a 95°C cup of coffee in a 23°C room, where it is known that the coffee

cools at a rate of 1°C per minute when its temperature is 70°C. Solve the differential equation to find an expression for the temperature of the coffee at time t. dy dt = − 1 47 (y − 23)

Mathematics
1 answer:
mel-nik [20]3 years ago
7 0

Answer:

Ln( y - 23) + 147t = C

where C is a constant of integration

Step-by-step explanation:

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Type 785 words in 10 minutes and 28 seconds<br> words per minute
sukhopar [10]

Answer:

Seven hundred and eighty-five

6 0
3 years ago
The graph below shows the distance traveled by a person biking at a rate of 6
Oxana [17]

Answer:

d = 8t

Step-by-step explanation:

If you travel at 8 miles per hour, where t is the number of hours, then, using the formula d=rt (r being the rate, in this case 8), the equation becomes d = 8t.

Hope this helped!

7 0
3 years ago
Dasher wrapped 16 of the 54 presents for Christmas.
sergeinik [125]

9/27 and 30%

Step-by-step explanation:

16/ 54 then reduced to 9/27

to find percent divide 16/54 to get 0.296 then round that to 0.30 multiple by 100 to change to percent which is also just moving decimal over 2 places so 30%

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3 years ago
Harold, the handyman, builds two similar sheds for a farm. The smaller shed is 6 feet tall and weighs 500 pounds. If it takes th
Akimi4 [234]

Answer:

18 ft

1500 pounds

Step-by-step explanation:

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7 0
3 years ago
The total surface area of a hemisphere is 45<br><img src="https://tex.z-dn.net/?f=%5Cpi%5Cp" id="TexFormula1" title="\pi\p" alt=
rjkz [21]

Answer:

The volume of the hemisphere  

       V = 121.33086 cubic centimeter

Step-by-step explanation:

<u>Step(i)</u>:-

Given that the total surface area of a hemisphere = 45π cm²

<em> The total surface area of a hemisphere = 3π r²</em>

Equating

              3π r² = 45π

                   r^{2} = \frac{45}{3} =15

                    r = \sqrt{15} = 3.87

The radius of the sphere 'r' = 3.87

<u><em>Step(ii):-</em></u>

<em>The volume of the hemisphere</em>

                 V = \frac{2}{3} \pi r^{3}

                V = \frac{2}{3} \pi (3.87)^{3}

we know that   π = 3.14

                V = \frac{2}{3}  (3.14) (3.87)^{3}

               V = 121.33086 cubic centimeter

               

         

7 0
3 years ago
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