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3 years ago

URGENT

1 answer:

5 0

I would say the answer is E. The coach cannot select those he observes. the reason being is because all people can run a different time due to the age of the person, not saying that they have a limit but the question leaves out how fit the player is. to put in words a athletic person on the average could run about 4-5 laps depending on how far each lap is. Hope that helps

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A cup of coffee at 93 degrees Celsius is placed in a room at 23 degrees Celsius. Suppose that the coffee cools at a rate of 1 de

Alinara [238K]

Answer:

Step-by-step explanation:

The rate of change of temperature of the coffee with respect to time is expressed by the differential equation

dT/dt=k(T−A) when k = -1 and A = 23. The equation will become:

dT/dt = -(T-23)

If the coffee cools at the rate of 1°C per minute, then dT/dt = -1 and T = 70

Substituting into the equation:

-1 = k(70-23)

-1 = 47k

k = -1/47

k = -0.0213

Substituting k = -0.0213 into the original equation, the differential equation will be:

dT/dt=k(T−A)

dT/dt = -0.0213(T-23)

dT/dt = -0.0213T+0.489

To get the value of T, we will use variable separable method

dt = dT/-0.0213T+0.489

Integrate both sides

t = -0.0213ln(-0.0213T+0.489)

At t = 1 minute

1 = -0.0213ln(-0.0213T+0.489)

1/-0.0213 = ln(-0.0213T+0.489)

-46.95 = ln(-0.0213T+0.489)

Apply exp to both sides

e^-46.95 = e^ln(-0.0213T+0.489)

4.073×10^-21= -0.0213T+0.489

-0.0213T = 4.073×10^-21-0.489

-0.0213T = -0.489

T = 0.489/0.0213

T = 22.96°C

5 0

3 years ago

Polygon ABCD is a rectangle. What is its area? Round your answer to the

galben [10]

9514 1404 393

Answer:

26 square units

Step-by-step explanation:

Counting grid squares on the graph, we see that segment AB is the hypotenuse of a right triangle with legs 2 and 3. Its length is ...

AB = √(2²+3²) = √13

We can also see that the adjacent longer sides are twice this length, each being the hypotenuse of a triangle that is 6 wide and 4 high.

AC = √(6² +4²) = √52 = 2√13

Then the area is ...

A = LW

A = (2√13)(√13) = 2·13 = 26 . . . square units

5 0

2 years ago

ann and betty share a sum of money in the ratio 2:3 respectively Ann revived $120 what was betty's share

olchik [2.2K]

Well, 120 divided by 2 is 60
60 times 3 is 180
Betty got 180

8 0

3 years ago

Read 2 more answers

Expression with parentheses..example and non-example

Dahasolnce [82]

Answer:

With parentheses:

(3 - 4)(4 + 5)/3

Without parentheses:

7 + 6 - 11 × 2

Hope this helps! :)

4 0

2 years ago

Find mAC. Pls help me

timurjin [86]

Answer:

Measure of Arc AC is 30 degrees

Step-by-step explanation:

To find the value of the marked arc, we are going to use the arc-angle relationship

from the type of given diagram, we can figure out the relationship to use

Mathematically, we have this as;

Measure of Arc AC = 2 * angle ABC

So we have arc AC as 2 * 15

Arc AC = 30 degrees

8 0

3 years ago