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tensa zangetsu [6.8K]
3 years ago
13

A patient takes a medication with a half life. Initially, there are 11 milligrams of the medication in the patient's system. Aft

er 70 minutes there are 7 milligrams. After how many minutes will there be only 3 milligrams remaining in the patient’s system? here be after 10 hours? Round your answer to the nearest whole number, do not include units.
Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Answer:

201

Step-by-step explanation:

The situation can be represented by the formula N(t)=11e(−kt) where t represents time in minutes and k is a constant.

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I'm learning about Equivalent systems of equations, please help!
kobusy [5.1K]
OK to solve this, we have to solve each system presented through elimination or substitution and find which one is equivalent to that of the teacher's!

First let's solve for the teacher's:
-2x+5y=10
-3x+9y=6
Solve by substitution (I think elimination might be easier to do for this one, but I don't really remember 100% sorry!)
Isolate the x (or y) variable in the first equation
-2x+5y=10
-2x=10-5y
x= \frac{10-5y}{-2}
Substitute x into the next equation and solve for y
-3(10-5y/2)+9y=6
3*10-5y/2+9y=6
(multiply both sides by 2)
3(10-5y)+18y=12
30-15y+18y=12
30+3y=12
3y=-18
y=-6

Substitute in x
x= -10-5(-6)/2
x=-20

TEACHER'S ANSWER (-20,-6)


GOKU
x-3y=-2
-2x+5y=-7
Do the same as above
Solve for x
x-3y=-2
x=3y-2
Plug in
-2(3y-2)+5y=-7
4-6y+5y=-7
4-y=-7
-y=-11
y=11

x=(3(11)-2)
x=31
GOKU'S ANSWER (31, 11)

SELINA:
-5x+14y=16
-3x+9y=12
One last time!! :)

-5x+14y=16
-5x=16-14y
x=(16-14y)/-5

-3(-(16-14y/5)+9y=12
3*16-14y/5+9y=12
3*16-14y+45y=60 
48-42y+45y=60
48+3y=60
3y=12
y=4

x=-(16-14(4))/5
x=8
SELINA'S ANSWER
(8,4)

So neither Goku or Selina got the same answer as the teacher
3 0
3 years ago
Read 2 more answers
314 stones for a cost of 2,512.00, how many stones are needed is the cost is 1,584.00
kondor19780726 [428]

Answer:

x≈231.123

Step-by-step explanation:

1) Make a ratio 314/2512= x/1584

2) Use the concept of cross multiplication and get 314*1584=2512x

3) Use Algebra:

314*1584=497,376

497,376/2152=2512x/2152

x≈231.123

8 0
3 years ago
Help ASAP give me the correct answer or else bad luck
ira [324]

Answer:

Both answer are "B" im pretty sure. :)

Step-by-step explanation:

6 0
3 years ago
What two positive real numbers whose product is 7272 have the smallest possible​ sum?
nadezda [96]
\sqrt{7272} and \sqrt{7272}, or as a rounded decimal 85.28 and 85.28. 

To find the smallest possible sum of roots for any product, the answer is always whatever numbers are closest together. This fact can be derived by the fact that the greatest area we can enclose with a given length is a perfect square. So we can take the square root of 7272 and use that, since they will be exactly the same number. 

If you are looking for whole numbers, you would have to go up or down until you find a factor of 7272 closest to the square root. In this case that would be 72 and 101. 
3 0
3 years ago
Zach paid $56.50 including sales tax for a book priced at $45. What was the sales tax rate?
kondaur [170]

Answer:

25.56% or $11.50

Step-by-step explanation:

I took it and put it in a sales tax calc.

3 0
3 years ago
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