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masha68 [24]
3 years ago
8

karen is 3 yrs younger than floyd. floyd is 2 years older than maria. marias age is the smallest two-digit number. how old are t

hey all?
Mathematics
1 answer:
Alinara [238K]3 years ago
4 0

Answer:

Maria is 10, Floyd is 8, and Karen is 5.

Step-by-step explanation:

Having said that Maria's age was the smallest two-digit number, that's ten. (10). If Floyd is 2 years younger then 10-2=8. Karen is 3 years younger, so she would be 8-3=5.

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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

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<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
Graph the following inequality. Then click to show the correct graph. x &lt; -1
docker41 [41]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x < -1

The solution is the interval ----> (-∞,-1)

All real numbers less than -1

On a number line the solution is the shaded area at the left of x=-1 (open circle)

using a graphing tool

see the attached figure

8 0
3 years ago
I really need help !!!!!!
ANEK [815]
You need help With what exactly?
8 0
3 years ago
Question 1
Doss [256]
For the answer to the question If the distance from the plane (P) to the tower (T) is 5,000 ft., how far is the bird (B) from the plane (P)? The answer is <span>11,779 feet.
And for the answer to the second question on w</span>hat is the angle of depression from the bird (B) to the observer (O)? The answer is <span>56.31°</span>
7 0
3 years ago
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A and B working together can do a work in 6 days. If A takes 5 days less than B to finish the work, in how many days B alone can
svetlana [45]

Answer:

15 days

Step-by-step explanation:

Let x be the number of days needed for B to complete the job. Then x-5 is the number of days needed for A to complete the job.

In 1 day,

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Hence, in 1 day both A and B complete \dfrac{1}{x-5}+\dfrac{1}{x} of all work. A and B working together can do a work in 6 days. Then

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If x=2, then x-5=-3 that is impossible. So, B needs 15 days to complete the work alone.

6 0
3 years ago
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