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Marianna [84]
2 years ago
13

Why is 4 and 44 not proportional

Mathematics
1 answer:
Oksanka [162]2 years ago
5 0
Because 44 is a bigger number than 4 it is 11 times bigger so the difference is larger than a proportional number
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Recall that m(t) = (1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500g sample of phosphorus-32 decays
katrin2010 [14]

The question is incomplete, here is the complete question:

Recall that m(t) = m.(1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500 g sample of phosphorus-32 decays to 356 g over 7 days. Calculate the half life of the sample.

<u>Answer:</u> The half life of the sample of phosphorus-32 is 14.28days^{-1}

<u>Step-by-step explanation:</u>

The equation used to calculate the half life of the sample is given as:

m(t)=m_o(1/2)^{t/h}

where,

m(t) =  amount of sample after time 't' = 356 g

m_o = initial amount of the sample = 500 g

t = time period = 7 days

h = half life of the sample = ?

Putting values in above equation, we get:

356=500\times (\frac{1}{2})^{7/h}\\\\h=14.28days^{-1}

Hence, the half life of the sample of phosphorus-32 is 14.28days^{-1}

7 0
3 years ago
What is the common denominator of (5/x^2-4) - (2/x+2) in the complex fraction (2/x-2) - (3/x^2-4)/(5/x^2-4) - (2/x+2)
PIT_PIT [208]

9514 1404 393

Answer:

  • common denominator: (x² -4)
  • simplified complex fraction: (2x +1)/(9 -2x)

Step-by-step explanation:

It is helpful to remember the factoring of the difference of squares:

  a² -b² = (a -b)(a +b)

__

Your denominator of (x² -4) factors as (x -2)(x +2). You will note that one of these factors is the same as the denominator in the other fraction.

It looks like you want to simplify ...

  \dfrac{\left(\dfrac{2}{x-2}-\dfrac{3}{x^2-4}\right)}{\left(\dfrac{5}{x^2-4}-\dfrac{2}{x+2}\right)}=\dfrac{\left(\dfrac{2(x+2)}{(x-2)(x+2)}-\dfrac{3}{(x-2)(x+2)}\right)}{\left(\dfrac{5}{(x-2)(x+2)}-\dfrac{2(x-2)}{(x-2)(x+2)}\right)}\\\\=\dfrac{2(x+2)-3}{5-2(x-2)}=\boxed{\dfrac{2x+1}{9-2x}}

3 0
3 years ago
The owners of a golf course hired a company to determine how many squirrels were living on their property. First, the company pu
muminat

Answer:

Squirrel population is 440 squirrels.

Step-by-step explanation:

It is given that there are 22 squirrels are marked.

Later the company returned and counted a total of 220 squirrels of which are marked were 11.

So, we can set up proportional equation to find the squirrel population.

Let squirrel population is x.

We can set up proportional equation as

\frac{11}{220}=\frac{22}{x}

Cross multiply

11 x=4840

Divide both sides by 11

x=440

Best estimate is 440.

6 0
3 years ago
Which of the following mathematical symbols represents “the opposite of”?what do they mean
Lunna [17]

The negative sign show the change in direction, that is the opposite side of the value.

In the number line, 1 is the opposite of -1, that is the digit from the left side is the opposite value of the right side.

Consider an object P is moving in positive x direction than on moving the object into its opposite direction, it will move along the negative x axis.

Answer : A) -

5 0
1 year ago
The data in the table represents a company’s profit based on the number of items produced.
expeople1 [14]

Answer: A) -1.026x2 + 1016.402x - 162075

Step-by-step explanation: I aced the test on e2020 ;)

4 0
2 years ago
Read 2 more answers
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