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Tanya [424]
4 years ago
15

Evaluate the expression.

Mathematics
2 answers:
sveticcg [70]4 years ago
8 0

Answer:

The answer would be -17

Step-by-step explanation:

You would take -5 and subtract 12 from it.

It's kind of like taking 5 and adding 12 to it and once you get the answer, add a - in front of it.

So 5+12=17

add a negative

-17

goblinko [34]4 years ago
4 0

Answer:

-17

The answer is -17

.......

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The proof for the product property of logarithms requires simplifying the expression logb(bx y) to x y. Which property is used t
masya89 [10]

You can use the properties of logarithm to derive the simplified form of the given expression.

The simplification of the given expression requires the given below properties of logarithm

  • log_a(b^c) = c \times log_a(b)\\\\
  • log_b(b) = 1

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

  • b = log_a(c)

Some properties of logarithm are:

log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1

<h3>Using the above properties, to get to the simplified form of the given expression</h3>

The given expression is

log_b(b^{x+y})

Using the property log_a(b^c) = c \times log_a(b)\\\\, we get

log_b(b^{x+y}) = (x+y)\times log_b(b)

Using the property log_b(b) = 1, we get

log_b(b^{x+y}) = (x+y)\times log_b(b) = (x+y) \times 1 = x + y

Thus,

The simplification of the given expression requires the given below properties of logarithm

  • log_a(b^c) = c \times log_a(b)\\\\
  • log_b(b) = 1

Learn more about logarithms here:

brainly.com/question/20835449

3 0
2 years ago
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Picture attached please help!
Aleonysh [2.5K]
The answer is 12.56.

I just used the area of circle formula

The formula is 3.14 x r^2

2 x 2 is 4

4 x 3.14 is 12.56


Pls mark brainleist
3 0
3 years ago
Describe a method for calculating the mean of a set of data explain why the method works
Aneli [31]
Well, you take a set of numbers and you find the biggest number and you subtract the smallest number from it. that is the mean and the mean is the average number.
6 0
4 years ago
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Write the equation of the line that passes though the points (0,-2)(3,4)
34kurt

Answer:

y=2x-2

Step-by-step explanation:

find the slope (m)

m=y2-y1/x2-x1

m=4-(-2)/3-0

m=4+2/3-0

m=6/3

m=2

y-y1=m(x-x1)

y-(-2)=2(x-0)

y+2=2x

y=2x-2

8 0
3 years ago
Find the volume of the cylinder. Round your answer to the nearest tenth if necessary. Use 3.14 for t.
Gnesinka [82]

Answer:

The answer is 1,885 inches

3 0
3 years ago
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