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kirza4 [7]
3 years ago
14

Someone help answer pls​

Mathematics
1 answer:
Maslowich3 years ago
7 0

Answer:

47

Step-by-step explanation:

The median is the number which is in the "center" of the number set when listed from least to greatest (or I guess vice versa)

So first you have to list them:

33, 34, 38, 42, 47, 47, 48, 49, 51

Then find the number at the center of the number set. "47"

The median is 47.

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The half-life is a substance is 375 years. If 70 grams is present now, how much will be present in 500 years?
Lynna [10]

Answer:

27.76 grams will be present in 500 years

Step-by-step explanation:

The given formula is A=A_{o}e^{kt} , where A is the value of the substance in t years, and A_{o} is the initial value

∵ The half-life is a substance is 375 years

- Substitute A by \frac{1}{2}A_{o} and t by 375 to find the value of k

∴ \frac{1}{2}A_{o}=A_{o}e^{375k}

- Divide both sides by A_{o}

∴ \frac{1}{2}=e^{375k}

- Insert ㏑ in both sides

∴ ㏑( \frac{1}{2} ) = ㏑ ( e^{375k} )

- Remember ㏑ ( e^{n} ) = n

∵ ㏑ ( e^{375k} ) = 375 k

∴ ㏑( \frac{1}{2} ) = 375 k

- Divide both sides by 375

∴ k ≈ -0.00185

∴  A=A_{o}e^{-0.00185t}

∵ 70 grams is present now

- That means the initial value is 70 grams

∴ A_{o} = 70

∵ The time is 500 years

∴ t = 500

- Substitute the values of A_{o} and t in the formula

∵ A=70e^{-0.00185(500)}

∴ A = 27.76

∴ 27.76 grams will be present in 500 years

3 0
3 years ago
Create a function with roots x = 3 and x = 2 and x = -3
tigry1 [53]
If the roots are 3, 2 and -3 then the function is created by multiplying
(x-3) * (x-2) * (x+3)
x^2 -5x +6 * (x+3)
x^3 -5x^2 +6x + 3x^2 -15x +18 = 0
x^3 -2x^2  -9x +18 = 0


4 0
3 years ago
With ratios, does the smaller number go to the left or the right?
Sergeeva-Olga [200]

Answer:

first in the ratio (when expressed in words), its number must come first in the ratio

Step-by-step explanation:

4 0
3 years ago
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Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
ZanzabumX [31]
<h2>ANSWER: APABETEKAL ABCDEFGHIJKLNOPMWRZTUVWXYZ </h2>

Step-by-step explanation:

<h2>abcd APABETEKAL wodz</h2>
7 0
2 years ago
Fill in the missing factor to show that 2/3 equivalent to 8/12.
Studentka2010 [4]

Answer:

4/4

Step-by-step explanation:

2/3 * what = 8/12

Multiply the top and bottom by 4/4

2/3 *4/4 = 8/12

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