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belka [17]
2 years ago
9

Need help ASAP

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
4 0

Using some logarithmic properties, we will see that the solution of the logarithmic equation is 10.5

<h3>How to find the value of the logarithm?</h3>

Here we have some properties that you need to remember.

log(A*B) = log(A) + log(B)

log(A/B) = log(A)  - log(B)

log(Aⁿ) = n*log(A)

Then we can rewrite our equation as:

[log(x²) + log(√z)] - log(y³)

Now, remember that a square root is equal to an exponent of 0.5, then:

[log(x²) + log(√z)] - log(y³) = 2*log(x) + 0.5*log(z) - 3*log(y)

Now we can replace the logarithms by the given values:

2*log(x) + 0.5*log(z) - 3*log(y)

2*7 + 0.5*5 - 3*2 = 10.5

The solution of the logarithmic equation is 10.5

If you want to learn more about logarithms:

brainly.com/question/13473114

#SPJ1

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April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R
Ymorist [56]

The complement of "April choosing five Pop CDs" is "Choosing five CDs where not all of them are Pop", making the second option a right choice.

In the question, we are given that April is randomly choosing five CDs to bring in her car from the following: 6 Pop CDs, 8 Rock CDs, and 10 R&B CDs.

We are asked what will be the complement of April choosing 5 Pop CDs.

The complement of a set is the one, where no element of the original set is present.

The original set is that "April is choosing 5 Pop CDs".

This means that April, while choosing 5 CDs from the given set, chooses all 5 CDs to be Pop.

While making the complement we need to change the final outcome.

To change this, we just need to make one exception to this, which can be achieved by making one other than Pop CD.

This gives us the set: "Choosing 5 CDs where not all of them are complement".

Thus, the complement of "April choosing five Pop CDs" is "Choosing five CDs where not all of them are Pop", making the second option a right choice.

Learn more about the complement of an event at

brainly.com/question/3728788

#SPJ4

The given question is incomplete. The complete question is:

"April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs. What is the complement of April choosing five pop CDs?

choosing five CDs where none of them are pop

choosing five CDs where not all of them are pop

choosing five CDs where at least one of them is pop

choosing five CDs where all of them are pop"

7 0
2 years ago
1.25 is what percent of 112
leonid [27]

Answer:

1.25 is approximately 1.16% of 112.

Step-by-step explanation:

1.25 ÷ 112 = 0.011160714285714 = 1.1160714285714%

4 0
3 years ago
Find the area of a circle with a diameter of 16 inches. Use 3.14 for pi.
Aliun [14]
Diameter of the circle = 16 inches
Radius of the circle = 16/2
                                = 8 inches
pi = 3.14
Then
Area of the circle = pi (Radius)^2
                            = 3.14 * (8)^2
                            = 3.14 * 64
                            = 200.96 square inches
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the third option or option "c". I hope that this is the answer that you were looking for and the answer has come to your help.
3 0
3 years ago
Solve this equation using an algebraic method: (x + 4)( x - 4) = 9<br> Help me out please
Artyom0805 [142]
You have to FOIL out the (x+4)(x-4) and then subrtract away the 9 in order to get a quadratic that you can solve for x.  As it is, you can't do it.
(x+4)(x-4)= x^{2} -4x+4x-16= x^{2} -16
Now if you move the 9 over with it, you get this:
x^{2} -16-9=0
which simplifies to
x^{2} -25=0
Now you can either solve this by recognizing that is the difference of perfect squares, or you can move the 25 over to the other side and take the square root of both sides, like this:
x^{2} =25
\sqrt{ x^{2} } = \sqrt{25}
x=+/-5
5 0
4 years ago
HELP PLEASE !!!!<br>A<br>B<br>C<br>D<br>E<br>???​
mario62 [17]

Answer:

A is the answer

Step-by-step explanation:

first take out the common factors ithe numerator and then after that take the common factors of denominator and then common terms cancels off and 3/n will remain

4 0
3 years ago
Read 2 more answers
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