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2 years ago

Common denominator for 5/24 and 7/18

Mathematics

2 answers:

lisov135 [29]2 years ago

8 0

72 is the denominator because 24 multiplied by 3 is 72 and 18 multiplied by 4 is 72

anzhelika [568]2 years ago

6 0

The ansere is 72 becuase 3 x24 = 72 and 18x4 = 72 hope it helps

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The half-life of a certain tranquilizer in the bloodstream is 22 hours. How long will it take for the drug to decay to 90% of

nasty-shy [4]

Answer:

It will take approximately 3.34 hours for the drug to decay to 90% of the original dosage

Step-by-step explanation:

As suggested, we use the formula for exponential decay:

$A(t)=A_0\,e^{-k\,t}$

From the given information, the half life of the drug in blood id 22 hours, so that means that it takes that number of hours to go from the initial value $A_0$ , to a final value equal to $A_0/2$ . Using this information we can find the decay rate "k" by solving for this parameter in the formula, and using the natural log function to bring the exponent down:

$A(t)=A_0\,e^{-k\,t}\\\frac{A_0}{2} =A_0\,e^{-k\,*22}\\\frac{A_0}{A_0*2} =e^{-k\,*22}\\\frac{1}{2} =e^{-k\,*22}\\ln(\frac{1}{2})=-k\,*22\\ k=-\frac{ln(\frac{1}{2})}{22} \\k=0.0315$

Now we use this value for the decay rate "k" to calculate how long it would take to decay to 90% of the original dose;

$A(t)=A_0\,e^{-0.0315\,t}\\0.9*A_0} =A_0\,e^{-0.0315\,t}\\\frac{0.9*A_0}{A_0} =e^{-0.0315\,t}\\0.9 =e^{-0.0315\,t}\\ln(0.9)=-0.0315\,t\\ t=-\frac{ln(0.9)}{0.0315} \\t=3.3447\,hours$

7 0

3 years ago

How to change the following improper fraction to a mixed number 88/36

frosja888 [35]

Answer:

2 16/36

Step-by-step explanation:

see how many times 36 goes into 88 with out going over 36 * 2 = 72 than go 88 - 72 to get the remainder of 16

4 0

3 years ago

(1, 7); slope = -1 please help fast

Harrizon [31]

Answer:

y = - x + 8

Step-by-step explanation:

Step 1:

y = mx + b Slope Intercept Form

Step 2:

y = -x + b Input Slope

Step 3:

7 = - 1 ( 1 ) + b Input x and y

Step 4:

7 = - 1 + b Multiply

Step 5:

b = 8 Add 1 on both sides

Answer:

y = - x + 8

Hope This Helps :)

7 0

3 years ago

Read 2 more answers

Is this a function ? Yes or no and why or why not

never [62]

Answer:

Yes

Step-by-step explanation:

Yes it is a function, because graph is intersecting y - axis only once.

3 0

3 years ago

1. Each row in a window display of floppy disk cartons contains two more boxes than the row above. The first row has one box. a.

Oduvanchick [21]

Each row has two more boxes than the row above. The first row has one box

The boxes in a row form an arithmetic sequence with the first term, a₁ = 1 and the common difference, d=2.
The n-th term is
$a_{n} = a+(n-1)d$
The sum of n terms is
$S_{n} = \frac{n}{2}(a_{1} + a_{n})$

Answer:
The table will have the following:

Row Number: 1 2 3 4 5 6
Boxes in the row: 1 3 5 7 9 11
Total boxes in the display: 1 4 9 16 25 36

8 0

3 years ago