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givi [52]
2 years ago
12

Suppose that

Mathematics
1 answer:
harina [27]2 years ago
4 0

Step-by-step explanation:

Refer to attachment.

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>

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Please help ASAP the question is in the picture and please explain why and how u got the answer
Lemur [1.5K]
could you show the picture up closer, so i can see?
6 0
3 years ago
Help ASAP show work please thanksss!!!!
Llana [10]

Answer:

\displaystyle log_\frac{1}{2}(64)=-6

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

log_b(1) = 0

Logarithm of the base:

log_b(b) = 1

Product rule:

log_b(xy) = log_b(x) + log_b(y)

Division rule:

\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)

Power rule:

log_b(x^n) = n\cdot log_b(x)

Change of base:

\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

\displaystyle log_\frac{1}{2}(64)

Factoring 64=2^6.

\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)

Applying the power rule:

\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)

Since

\displaystyle 2=(1/2)^{-1}

\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})

Applying the power rule:

\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})

Applying the logarithm of the base:

\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}

5 0
2 years ago
Write an exponential function to describe the given sequence of numbers.
andriy [413]

Answer:

  a(n) = 9·6^(n-1)

Step-by-step explanation:

The general term a(n) of a geometric sequence with first term a(1) and common ratio r is given by ...

  a(n) = a(1)·r^(n-1)

Your sequence has first term 9 and common ratio 54/9 = 6, so the function describing it is ...

  a(n) = 9·6^(n-1)

5 0
3 years ago
A public opinion poll in Ohio wants to determine whether registered voters in the state approve of a measure to ban smoking in a
LUCKY_DIMON [66]

This is an example of "a stratified sample".

<u>Answer:</u> Option B

<u>Explanation:</u>

A group-based sampling process that can be divided into subpopulations. For statistical studies, testing of each subpopulation separately may be useful if subpopulations within a total population differ, thus understood as "Stratified sampling".

One might, for instance, divide a adults sample into subgroups in terms of age, like 18 to 29, 30 to 39, 40 to 49, 50–59 etc with decided age difference as needed. A stratified sample may be more accurate than an easy sample of the similar size by random. As it offers more accuracy, a stratified sample sometimes involves a smaller sample, saving money.

8 0
3 years ago
the length(1) of the rectangle is x2 + 2x-3 and the width(w) is 5x + 4,what is the perimeter of the rectangle​?
astra-53 [7]

Answer:

4×_3 I think this is your answer

6 0
2 years ago
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