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Vaselesa [24]
3 years ago
12

Study the image at the left. Pay careful attention to the

Mathematics
2 answers:
AlladinOne [14]3 years ago
8 0

Answer:

Reduction, and 1/2

Step-by-step explanation:

Just took the test

zepelin [54]3 years ago
5 0

Answer:

Reduction, and 1/2

Step-by-step explanation:

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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
Simplify when x=4 x^2-4
Nuetrik [128]

Answer:

12

Step-by-step explanation:

  • X=4
  • \sf \rightarrowtail \:  {x}^{2}  - 4 \\ \sf \rightarrowtail \:  {(4)}^{2}   - 4 \\  \sf \rightarrowtail \: 16 - 4 \\  \sf \rightarrowtail \: 12
6 0
3 years ago
Read 2 more answers
How to evaluate polynomial function
Katen [24]

Answer:

"Evaluation" mostly means "simplifying an expression down to a single numerical value". Sometimes you will be given a numerical expression, where all you have to do is simplify; that is more of an order-of-operations kind of question

example: So let we are given a polynomial function as:

f(x)=x^4+3x^3-x^2+6  and we are aksed to evaluate this polynomial at  x=-3

Then the value of the polynomial will be:

f(-3)=(-3)^4+3\times (-3)^3-(-3)^2+6\\\\f(-3)=81+3\times (-27)-9+6\\\\f(-3)=81-81-9+6\\\\f(-3)=-3

Hence on evaluating the polynomial function f(x) at x=-3 we get the value of the polynomial function as -3.

7 0
4 years ago
Find the cube root of 1.331
Anastaziya [24]

Answer:

<em>answer</em><em> </em><em>is</em><em> </em><em>1</em><em>.</em><em>1</em><em> </em>

Step-by-step explanation:

11(1331)

11(121)

11(11)

(1)

10(1000)

10(100)

10(10)

(1)

(11/10*11/10*11/10)^(1/3)

=11/10

=1.1.

8 0
3 years ago
Read 2 more answers
The ratio of measures of two complementary angles is 4:5
Drupady [299]

Answer:

angles are 40 and 50

Step-by-step explanation:

let angles be 4x , 5x

4x + 5x = 90

x= 90 / 9

x= 10

angles are 4x , 5x

therefore angles are 40 , 50

6 0
4 years ago
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