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Mkey [24]
4 years ago
14

Determine the correct scientific notation form of the number. 3,708,000,000\

Mathematics
2 answers:
mylen [45]4 years ago
5 0
B) 3.708 x 10^9 is the correct answer
Nimfa-mama [501]4 years ago
3 0
3,708,000,000

Let's count to the left and stopping at a value that lies between 1 and 10.

When we do so, we stop at 3.708.
Moving to the right creates a POSITIVE exponent of 9.

Answer: 3.708 x 10^9

Choice B
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'Polonium-210 is a radioactive substance with a half-life of 138 days. If a nuclear
Tatiana [17]

Answer:

  • <u>59.0891 g (rounded to 4 decimal places)</u>

Explanation:

<em>Half-life time</em> of a radioactive substance is the time for half of the substance to decay.

Thus, the amount of the radioactive substance that remains after a number n of half-lives is given by:

  • A=A_0\cdot (1/2)^n

Where:

  • A is the amount that remains of the substance after n half-lives have elapses, and
  • A₀ is the starting amount of the substance.

In this problem, you have that the half-live for your sample (polonium-210) is 138 days and the number of days elapsed is 330 days. Thus, the number of half-lives elapsed is:

  • 330 days / 138 days = 2.3913

Therefore, the amount of polonium-210 that will be left in 330 days is:

  • A=310{g}\cdot (1/2)^{2.3913}=59.0891g
5 0
3 years ago
Given the formula for an arithmetic sequence f(7) = f(6) + 4 written using a recursive formula, write the sequence using an arit
natita [175]

Answer:

Of(7) = f(1) + 24

Step-by-step explanation:

Since this Arithmetic Sequence can be written recursively as a function, then we can write the whole sequence, by adding the common difference to the previous function. So writing it as an Arithmetic formula is (placing an example, with a common difference of 4 units):

\left.\begin{matrix}n &1&2&3&4&5&6 &7\\f(n)&2&6&10 & 14&18&22&26 \end{matrix}\right|\\f(n)=f(n-1)+d\:\: (Recursive \: Formula)\Rightarrow a_{n}=a_{n-1}+4\: \: \: (Arithmetic\: Formula)\\Of(7)=f(1)+6*4\Rightarrow a_{7}=a_{1}+(7-1)4\Rightarrow a_{7}=a_{1}+24\\

6 0
3 years ago
Read 2 more answers
Which of the following is a valid exclusion for the algebraic fraction:
erastova [34]
We have the following expression:
 (27a ^ 3-1) / (9a ^ 2-6a + 1)
 Rewriting we have:
 (27a ^ 3-1) / (9a ^ 2-6a + 1)
 (27a ^ 3-1) / ((3a-1) * (3a-1))
 We exclude the values that make the denominator zero:
 3a-1 = 0
 a = 1/3
 Answer:
 
a valid exclusion for the algebraic fraction is:
 
c. a ≠ 1/3
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B7a%20-%2010%7D%20%20-%20%20%5Csqrt%7B2a%20%2B%205%7D%20%20%3D%200" id="TexFormula
Alik [6]

Answer:

a=3

Step-by-step explanation:

\sqrt{7a-10} =\sqrt{2a+5} \\squaring\\7a-10=2a+5\\7a-2a=5+10\\5a=15\\a=3

7 0
3 years ago
Triangle JKL is isosceles. The meansure of angle J is 72degrees and the measure angle K is 36 degrees. Which satement describes
loris [4]
I'm not exactly sure what kind of answer you are looking for but angle L would also be 72 degrees. This is because 36 (K) + 72 (J) = 108 and a triangle's angles must add up to 180 so 180 - 108 = 72 (L) . This also makes sense because it is an isosceles triangle so two of the angles must be the same because two of the sides are the same length. 
4 0
4 years ago
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