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tia_tia [17]
3 years ago
12

How do I find: If 6^x=1/216,find the value of x with and without a Casio calculator?

Mathematics
1 answer:
san4es73 [151]3 years ago
8 0

Answer:

The value of x is -3.

Step-by-step explanation:

To find x, we have to put everything in base 6 and continue to simplify. Since we know that 216 is 6^3, we can replace that.

6^x = 1/216

6^x = 1/(6^3)

Now, when there is a power in the denominator, we know we can move it to the numerator by making it negative. We can do that to get the bases to match.

6^x = 1/(6^3)

6^x = 6^-3

Now that they are both put in simple base 6 systems, we can just eliminate the bases and assume that the powers are equal. This lets us know that x = -3.

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The circle also intersects the x-axis at x=10, so that will be one point that is shared by the circle and g(x). A graph shows there is also another point of intersection, (6, -8).

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5 0
3 years ago
Help me solve 2i(4-2i)=
velikii [3]
Simplified answer is 4+8i
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3 years ago
I'll mark as brainliest if you get the answer correct with Explanation.
mrs_skeptik [129]

Answer:

25, 90, and 65

Step-by-step explanation:

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6 0
3 years ago
Two friends, Alejandro and Mia, agreed to split the check at a restaurant. Alejandro ordered $12 worth of food and Mia ordered $
kvasek [131]

Cost of Alejandro's food = $12

Tip paid by Alejandro = 20% of his bill = 20% of 12 = 2.4

Cost of Mia's food = $18

Tip paid by Mia = 15% of his bill = 15% of 18 = 2.7

Total Tip Paid = 2.4+2.7 = 5.1

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Total tip paid by Alejandro and Mia is r% of the total check amount.

So, we need to determine what % of 30 is equal to 5.1%

⇒ r% × 30 = 5.1

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Hence, r is 17%

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Answer:

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