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seraphim [82]
3 years ago
12

I will give u Brainliset rn if u answer

Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0

Answer:

11x+16y = 13

16y = -11x+13

y = -11/16x+13/16

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
The price of an item decreased by 20% to $200. Then later the price decreased again from $200 to $150. What is the percent of de
cricket20 [7]

Answer:

40%

Step-by-step explanation:

ok so first find the og price:

100% - 20% = 80%

so 80% = 200

let the 100% be x:

x * 0.8 = 200

x= 250

100% = 250

(difference/ og price) * 100% = the percentage decrease/ increase

(250-150/250)* 100% = 40%

OR

((the final price/ og price) * 100%) - 100%

((150/250)*100%) - 100% = 40%

There was a 40% decrease from the og price to the final price of 150.

3 0
3 years ago
Find the length of arc AB for each circle.
Eddi Din [679]

Answer:

see explanation

Step-by-step explanation:

The length of the arc is calculated as

AB = circumference of circle × fraction of circle

(11)

AB = 2πr × \frac{90}{360}

     = 2π × 7 × \frac{9}{36}

     = 14π × \frac{1}{4}

     = \frac{7}{2} π in

(12)

AB = 2πr × \frac{135}{360} ( r = 20 ÷ 2 = 10 )

      = 2π × 10 × \frac{3}{8}

      = 20π × \frac{3}{8}

      = \frac{60}{8} π

      = \frac{15}{2} π cm

8 0
3 years ago
BX−→− bisects ∠ABC. If m∠XBC = 62°, what is the measure of ∠ABC?
xeze [42]

Answer:

93

Step-by-step explanation:

5 0
3 years ago
BRAINLIEST IF CORRECT!:)) PLEASE SHOW WORK!! <br><br> Here is the attachment below.:) &lt;----
kipiarov [429]
Please find the solution below.. If you have questions, let me know.

6 0
4 years ago
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