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krek1111 [17]
4 years ago
8

find all the factors of 38,39 and 40. Do they have any factors in common? Explain how you can tell if some numbers have factors

in common without finding the factors. ​
Mathematics
1 answer:
Usimov [2.4K]4 years ago
7 0

Answer:

1

Step-by-step explanation:

thousand

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Technetium-99m is used as a radioactive tracer for certain medical tests. It has a half-life of 1 day. Consider the function T w
Alinara [238K]

Answer:

The expression that represents the number of days until only 10% remains is T((d) 10 %) =100×(\frac{1}{2} )^{3.322}.

Step-by-step explanation:

The equation for half life is of the form

A = A₀×(\frac{1}{2} )^{\frac{t}{h} }.........................................................................(1)

Where

A = Final amount

A₀ = Initial amount

t = Time

h = Half life

For the equation T(d) = 100×2⁽⁻²⁾....................................(2)

We have by comparison with the equation for half life

2 ≡ \frac{t}{h}  and and the equation (2) can be written as

Percentage remaining after 2 half lives is

\frac{A}{A_0} ×100=100×(\frac{1}{2} )^{2 }

However if the half life of Technetium-99m is 6 hours then we have for one day

\frac{A}{A_0} ×100=100×(\frac{1}{2} )^{2 *2}

Therefore an expression that represents the number of days until only 10% remains is

\frac{A}{A_0} ×100=100×(\frac{1}{2} )^{\frac{d}{h}  } = 10 %

(\frac{1}{2} )^{\frac{d}{h}  } =\frac{1}{10}

= ㏑(\frac{1}{2} )^{\frac{d}{h}  }  = ㏑(\frac{1}{10})

= \frac{d}{h}×㏑(\frac{1}{2} ) = ㏑(\frac{1}{10})

\frac{d}{h} = \frac{ln(\frac{1}{10}) }{ln(\frac{1}{2} )} = 3.322

Therefore the expression for the number of days 10 % of Technetium-99m will be remaining is

T((d) 10 %) =100×(\frac{1}{2} )^{3.322}

3 0
4 years ago
Ab-0.5bab−0.5ba, b, minus, 0, point, 5, b when a=1a=1a, equals, 1 and b=5b=5
barxatty [35]

Answer:

  2.5

Step-by-step explanation:

Put the values in place of the corresponding variables and do the arithmetic:

  ab - 0.5b = (1)(5) -0.5(5) = 5 - 2.5 = 2.5

4 0
3 years ago
Find the smallest integer value of X that satisfies the inequality of 6X>7
Nastasia [14]

Answer:

  x = 2

Step-by-step explanation:

The solution set can be found by dividing the inequality by the coefficient of x.

  6x > 7

  x > 7/6

The smallest integer greater than 7/6 is 12/6 = 2.

The smallest integer solution is x = 2.

5 0
3 years ago
The black figure is an ellipse, and the black line segment is its major axis. What is the length of the blue line segment?
andrezito [222]

The answer is: A. 20.3

The explanation is shown below:

1. By definition, the sum of the length of the strings (The length of the blue segment and the length of the red segment) is equal to the length of the major axis (The black segment).

2. Based on this, you can write the following expression, where x is the length of the blue segment:

x+10.7=31

3. Now, you must solve for x, as following:

x=31-10.7

x=20.3

4. Therefore, the answer is the option A.


6 0
4 years ago
The question attached is a division question
IRISSAK [1]

Answer:

1 2/10

Step-by-step explanation:

Or it could be 6/5 or 1.2

6 0
3 years ago
Read 2 more answers
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