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Llana [10]
3 years ago
6

Which verbal expression best describes thealgebraic expression 2* /4? 1) the sum of 2 and some number divided by 4 2) the produc

t of some number and 4 divided by 2 3) the quotient of 2 and some number times 4 4) the quotient of 2 times some number and 4
Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer =3

Step-by-step explanation:

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Suppose you cool a pot of soup in a 20°C room. Right when you take the soup off the stove, you measure its temperature to be 180
dezoksy [38]

Answer:

  • 28.3 minutes
  • 53.6°C

Step-by-step explanation:

The temperature of the soup is described by Newton's Law of Cooling, which says the rate of change of temperature is proportional to the difference between the temperatures of the soup and the room. The solution to this differential equation is the exponential function ...

  f(t) = a +b·c^(t/τ)

where a is the room temperature, b is the initial difference in temperature, and c is the fractional change in the difference in temperature over time period τ.

__

<h3>application</h3>

For the given scenario, we find ...

  a = room temperature = 20 . . . . degrees C

  b = (180 -20) = 160 . . . . degrees C

  c = (100 -20)/(180 -20) = 80/160 = 1/2 . . . . in τ = 20 minutes

So, the formula for the temperature of the soup is ...

  f(t) = 20 +160(1/2)^(t/20) . . . . . . . degrees C after t minutes

__

<h3>time to 80°C</h3>

Solving for t when f(t) = 80, we find ...

  80 = 20 +160(1/2)^(t/20)

  3/8 = (1/2)^(t/20) . . . . . subtract 20, divide by 160

  20×log(3/8)/log(1/2) = t ≈ 28.3 . . . take logarithms, divide by coefficient of t

It will take about 28.3 minutes to cool to 80°C.

__

<h3>temp at 45 minutes</h3>

The temperature after 45 minutes is ...

  f(45) = 20 +160(1/2)^(45/20)

  f(45) ≈ 53.6 . . . . degrees C

After 45 minutes the temperature of the soup will be about 53.6°C.

3 0
1 year ago
Read 2 more answers
A triangle has dimensions 5, 7, and 11. A similar triangle is drawn with a scale factor of 1.4. What are the dimensions of the n
Artyom0805 [142]
Your answer would be B
3 0
3 years ago
Read 2 more answers
What do they represent?
andrey2020 [161]

Answer:

A

Step-by-step explanation:

If you convert the first equation to y=mx+b form, it will be the same as the second equation.

6x - 15y = 15

-15y = -6x + 15

y = \frac{2}{5}x -1

Because the 2 equations are the same now, they are the same line.

8 0
3 years ago
Is 4x + the square root of y = 12 a linear function
ivolga24 [154]
I wouldn't say so, as if you rearrange that equation you get sqr root y = 12 - 4x. Then you square everything to get the value of y so you would end up with 144 - 16x^2.
Therefore, the x value has a power, so it would be a curved line
3 0
3 years ago
write a system of linear equations in which (3,-5) is a solution of equation 1 but not a solution of equation 2 and (-1,7) is a
Ainat [17]

Answer:

Examine this system of linear equations.

y – 3x = –2,

y = 4

Which is a solution of the system of equations?

(0, 4)

(2, 2)

(2, 4)=this is the correct answer

(4, 2)

Step-by-step explanation:

thats the answer

(2,4)

4 0
3 years ago
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