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goblinko [34]
3 years ago
7

What set does 13.444 belong to

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0

Answer:

13.4445 I think.

Step-by-step explanation:

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I NEED HELP!! please show all work
PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

4^{5x} = 3^{x-2}

\implies \log 4^{5x} = \log 3^{x-2}

Drop the exponents:

\implies 5x \log 4 = (x-2) \log 3

Expand the right side:

\implies 5x \log 4 = x \log 3 - 2 \log 3

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

\implies 5x \log 4 - x \log 3 = - 2 \log 3

\implies x (5 \log 4 - \log 3) = - 2 \log 3

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}

You can stop there, or continue simplifying the solution by using properties of logarithms:

\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }

\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }

\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}

You can condense the solution further using the change-of-base identity,

\implies \boxed{x = -\log_{\frac{1024}3}9}

5 0
2 years ago
Two squares as shown below
zheka24 [161]

Answer:

3rd one

Step-by-step explanation:

any 2 squares are congruent since all four sides of any square are congruent

8 0
3 years ago
Given a data set consisting of 33 unique whole number observations, its five-number summary is:
Lemur [1.5K]

Answer:

given a data set of 33 unique whole number observation,its five number sumary is [16, 29, 40 ,54, 67]

Step-by-step explanation:

The p-th percentile in an ordered (from low to high) data set is a value such that p% of the data is less than that value. The quartiles of a data set are the 25th, 50th and 75th percentiles. (The 25th percentile is usually called the first quartile, the 50th percentile is usually called the median, and the 75th percentile is usually called the third quartile.)

The formula for finding the location (or position) of the (approximate) pth percentile in an ordered (from low to high) data set is  

L p=(n+1).p/100

For example, in the data set  [2,4,6,8,10,12,14,16,18]

the (approximate) 60th percentile is located at position  

L 60=(9+1).60/100=6

that is, the sixth data point (the value 12) is at the (approximate) 60th percentile.(Actually, only 55.6% of the data is below a 12.)

3 0
3 years ago
sally needs $20,000 in 4years. she has $10,000 to invest. if interest is compounded continuously, what rate is required for Sall
I am Lyosha [343]
10,000 Because you need to add 10,000 add its going to give you 20,000
7 0
2 years ago
Suppose Johnny invests $2,745 into an account, which has been earning interest for many years and he now has a total of $39,974.
Ket [755]

Answer:

i don't understand your question

5 0
3 years ago
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