2 years ago

Answer fast I need help and it need to be done tomorrow.

Mathematics

1 answer:

Galina-37 [17]2 years ago

5 0

Answer:

lol i think the answer is 3

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If you place a cup of 210 degree Fahrenheit coffee on a table in a room that is 68 degrees fareinheit, and ten minutes later, it

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Newton's Law of Cooling

Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.

200=68+(210-68)e^(-10k)

132=142e^(-10k)

132/142=e^(-10k)

ln(132/142)=-10k

k=-ln(132/142)/10

k≈0.0073 so

T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?

180=68+142e^(-0.0073t)

112=142e^(-0.0073t)

112/142=e^(-0.0073t)

ln(112/142)=-0.0073t

t= -ln(112/142)/(0.0073)

t≈32.51 minutes

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3 years ago

1. What are the roots of 4x2 = 8x - 7?

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4 times 2 =8times-7 is 1

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2 years ago

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30,000 rounded to the nearest thousand. what is the largest number and what is the lowest.

denis23 [38]

30,000 to the nearest thousands. The largest number is 30,499 and the lowest number is 29,500.

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3 years ago

And ice cream factory makes 190 quarts of ice cream in five hours how many quarts could be made in 36 hours what was the rate pe

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190/5 = 38

So, they can make 38 quarts in an hour.

38 * 36 = 1,368

They can make 1,368 quarts in 36 hours.

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2 years ago

Solve the equation in the complex number system.

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To get rid of $x^{3}$ , you have to take the third root of both sides:
$\sqrt[3]{x^{3}} = \sqrt[3]{1}$
But that won't help you with understanding the problem. It is better to write $x^{3}-1$ as a product of 2 polynomials:
$x^{3}-1 = (x-1)\cdot (x^{2} +x +1)$
From this we know, that $x-1 = 0 => x = 1$ is the solution. Another solutions (complex roots) are the roots of quadratic equation.

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