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Alexxandr [17]
3 years ago
5

Select the answer choice below that represents 5.9 x 10-4 in standard notation.

Mathematics
1 answer:
PIT_PIT [208]3 years ago
6 0
This means that you have to move the decimal point 4 decimal places to the left, as denoted by the negative sign. Thus, this would add 3 zeros before 5. The answer would be 0.00059.

I hope the explanation was clear to you. Have a good day.
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Find the measure of an angle between 0o and 360o coterminal with an angle of -271o in standard position.
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The correct answer is: 89°

Explanation:
As the angle -271° has the negative sign, it means we have to add 360° to it in order to find the coterminal angle(and the answer should be between 0° and 360°).

Hence, -271° + 360° = 89°

Note(bonus information): 
If the angle were positive, you would have to subtract 360° from it to find the coterminal angle.

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Find the difference.<br><br> (4−5y)−2(3.5y−8)
MAVERICK [17]

Answer:

-12y + 20

Step-by-step explanation:

First, you simplify each term:

apply the distributive property:

4 - 5y - 2 (3.5y) - 2 x -8

Multiply 3.5 by -2:

4 - 5y - 2 (3.5y) - 2 x -8

Multiply -2 by -8:

4 - 5y - 7y +16

Next, we simplify by adding terms:

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If the sixth term in a geometric sequence is 1/625, and the common ratio is 15, find the explicit formula of the sequence.
Nonamiya [84]

Answer:

The explicit formula of the sequence is a_n=5(\frac{1}{5})^{n-1} for n \geq 2

Step-by-step explanation:

Sixth term in a geometric sequence =\frac{1}{625}

Common ratio =\frac{1}{5}

Formula of nth term =a_n=ar^{n-1}

Substitute the values

So,\frac{1}{625}=a(\frac{1}{5})^{6-1}\\\frac{1}{625}=a(\frac{1}{5})^{5}\\\frac{1}{625} \times 5^5=a

5=a

Substitute the value in 1

So,a_n=5(\frac{1}{5})^{n-1}

So, Option C is true

Hence the explicit formula of the sequence is a_n=5(\frac{1}{5})^{n-1} for n \geq 2

7 0
4 years ago
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