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Tcecarenko [31]
3 years ago
15

If sin(x) = M, with M > 0, find the value of then sin(x - pi) =

Mathematics
1 answer:
Alexus [3.1K]3 years ago
7 0

Step-by-step explanation:

sin(x) = M, M > 0

= sin(x - π)

= sin(x)cos(π) - cos(x)sin(π)

= sin(x).(-1) - cos(x).0

= -sin(x) - 0

= -sin(x)

= -M

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JulsSmile [24]

Answer: x = 1/16

Step-by-step explanation:

Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.

1. log B(2) {x} = -4  || given

2. x = 2 ^ -4  || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.

3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16

3 0
3 years ago
Kim picked 250 pounds of pears yesterday and 287 pounds of pears today. What is the percentage increase of
xxMikexx [17]

Given:

Kim picked 250 pounds of pears yesterday and 287 pounds of pears today.

To find:

The percentage increase of  amount of pears picked by Kim.

Solution:

We know that,

\%\text{ increase}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100

\%\text{ increase}=\dfrac{287-250}{250}\times 100

\%\text{ increase}=\dfrac{37}{25}\times 10

\%\text{ increase}=\dfrac{370}{25}

\%\text{ increase}=14.8

Therefore, the percentage increase of  amount of pears picked by Kim is 14.8%.

7 0
3 years ago
In a video store, a DVD that sells for $15 is marked "10% off." What is the discount? What is the sale price of the DVD?
Margarita [4]

Answer:

it will be 1.50$ off as the discount so sold for 13.50 is the sale price

8 0
3 years ago
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5 0
3 years ago
If the ratio of black jeans to bluejeans is 6 to 18 with a total of 240 jeans how many of them are blue
Leya [2.2K]
The ratio is 6:18 and you are trying to find out what are blue. You divide 240 by 6 and get 40. You then multiply 40 x 18 and get 720.
5 0
3 years ago
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