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3 years ago

A map that has a scale of 3 cm: 18 km. If Riverside and Smithville are 54km apart then they are how far apart on the map?

1 answer:

8 0

Setting up the ratio, you get 3/18=x/54. Solve the proportion, you get that Riverside and Smithville are 9 cm apart on the map.

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I need help in 10th grade math if you have any tips please help me

TiliK225 [7]

Answer:

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3 years ago

A welder drops a piece of red-hot steel on the floor. The initial temperature of the steel is 2,500 degrees Fahrenheit. The ambi

sergey [27]

Answer: After 18.05 minutes, the temperature of steel becomes 100 degrees.

Step-by-step explanation:

Since we have given that

Initial temperature = 2500

At t = 0,

we get that

$f(t)=Ce^{-kt}+80\\\\2500=C+80\\\\2500-80=C\\\\2420=C$

After 2 minutes, the temperature of the steel is 1500 degrees.

so, it becomes,

$1500=2420e^{-2k}+80\\\\1500-80=2420e^{-2k}\\\\\dfrac{1420}{2420}=e^{-2k}\\\\0.587=e^{-2k}\\\\\ln 0.587=-2k\\\\-0.533=-2k\\\\k=\dfrac{0.533}{2}\\\\k=0.266$

So, We need to find the number of minutes when the temperature of steel would be 100 degrees.

So, it becomes,

$100=2420e^{-0.266t}+80\\\\100-80=2420e^{-0.266t}\\\\20=2420e^{-0.266t}\\\\\dfrac{20}{2420}=e^{-0.266t}\\\\\ln \dfrac{20}{2420}=-0.266t\\\\-4.8=-0.266t\\\\t=\dfrac{4.8}{0.266}\\\\t=18.05$

Hence, after 18.05 minutes, the temperature of steel becomes 100 degrees.

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3 years ago

Please help I’m being timed!! A small dairy farm writes a business plan. It includes a graph showing the estimated amount of fee

9966 [12]

Answer: The Answer is C

Step-by-step explanation: I just took the quiz on ed and this is the correct answer.

6 0

3 years ago

There are 2 squares and 8 circles what is the simplest ratio of squares to total shapes

wariber [46]

1:4 is simplest ratio

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2 years ago

Factorize -56xy - 7x please I don't really understand factorization :(

lora16 [44]

Find the Greatest Common Factor (GCF)

GCF = 7x

Factor out the GCF, (Write the GCF first, then in parenthesis, divide each term by the GCF.)

7x(56xy/7x + 7x/7x)

Simplify each term in parenthesis

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3 years ago