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Katarina [22]
2 years ago
13

The algebraic expression 0.07d^3/2 describes the duration of a storm, in hours, whose diameter is d miles. use a calculator to d

etermine the duration of a storm with a diameter of 7 miles. round to the nearest hundredth
help me with step by step

Mathematics
1 answer:
Shkiper50 [21]2 years ago
6 0

Answer:

  1.30 hours

Step-by-step explanation:

Put the given number in the formula and do the arithmetic. The value of "d" is given as 7, so you are evaluating the expression ...

  duration = 0.07×7^(3/2) . . . . put 7 where "d" is in the expression

  = 0.07×18.520 . . . . . . . . . . . . evaluate 7^(3/2)

  = 1.2964 . . . . . . . . . . . . . . . . . do the multiplication

  ≈ 1.30 . . . . rounded to hundredth

The duration of a storm 7 miles in diameter is predicted to be 1.30 hours.

___

With a suitable calculator, this can all be done at once.

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Answer:

The concentration of pollutants in the water can be defined as the quotient between the mass of pollutants and the total mass of water.

Assuming that 1L of water weighs 1000 grams, we know that:

Mass of pollutants = 5mg = 0.005g.

Initial concentration = 0.005g/1000g = 0.000005

If we multiply this by 100%, we get the percentage:

0.000005*100% = 0.0005%

Now, the mass of pollutants decreases by 10% each hour.

So if initially, we have 5mg

After one hour, we will have: 5mg - 0.1*5mg = 5mg*(0.9).

After another hour, we will have: 5mg*(0.9) - 0.1*5mg*0.9 = 5mg*(0.9)^2.

And so on, then after n hours, the mass of pollutants will be:

M(n) = 5mg*(0.9)^n

Or we can write this in grams as:

M(n) = 0.005g*(0.9)^n

Then the concentration as a function of time in hours will be:

C(n) = M(n)/1000g = (0.005g/1000g)*(0.9)^n

Notice that the thing between the parentheses is the initial concentration, then if we write this in percentage form:

c(n) = 100%*(0.005g/1000g)*(0.9)^n = 0.0005%*(0.9)

The function that represents the concentration of polution in the water as a function of hours is:

c(n) = 0.0005%*(0.9)

6 0
3 years ago
Select the expression that represents a rational function.
Sati [7]

Answer:

  y = (x +2)/(x -3)

Step-by-step explanation:

A rational function is a function (y = ...) that has a definition that is the ratio of two polynomials.

Of the choices listed, the one attached is the rational function.

8 0
3 years ago
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morpeh [17]
I hope this helps you



if per pound is $25


how much cost ?


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4 0
3 years ago
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murzikaleks [220]

Answer:

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Step-by-step explanation:

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2 years ago
Let v be an eigenvector of a matrix A with a corresponding eigenvalue ?=2. Find one solution x of the system Ax=v.
Murljashka [212]

Answer with explanation:

For, a Matrix A , having eigenvector 'v' has eigenvalue =2

 The order of matrix is not given.

It has one eigenvalue it means it is of order , 1×1.

→A=[a]

Determinant [a-k I]=0, where k is eigenvalue of the given matrix.

It is given that,

k=2

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→[v]=[0]

→v=0

Now, corresponding eigenvector(v), when eigenvalue is 2 =0

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→[2 x] =[0]

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