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Paladinen [302]
2 years ago
12

Solve for x if log(2x-7) = 0

Mathematics
1 answer:
schepotkina [342]2 years ago
4 0

Answer:

x=4

Step-by-step explanation:

log(2x-7) = 0

10^[log(2x-7)] = 10^0

2x-7 = 1

2x = 8

x = 4

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Exercise 10.4.1: Bayes' Theorem - detecting a biased coin. About (a) Sally has two coins. The first coin is a fair coin and the
8_murik_8 [283]

Answer:

0.026

Step-by-step explanation:

Given the result of 10 coin flips :

T,T,H,T,H,T,T,T,H,T

Number of Heads, H = 3

Number of tails, T = 7

Let :

B = biased coin

B' = non-biased coin

E = event

Probability that it is the biased coin:

P(E Given biased coin) / P(E Given biased coin) * P(E Given non-biased coin) * P(non-biased coin)

P(E|B)P(B) / (P(E|B)*P(B) + P(E|B')P(B')

([(0.75^3) * (0.25^7)] * 0.5) /([(0.75^3) * (0.25^7)] * 0.5) + (0.5^10) * 0.5

0.0000128746 / 0.00050115585

= 0.0263671875

7 0
3 years ago
Which of the following describes the end behavior over the domain of the square root function graphed above? Please HELP!!!!!!!!
PilotLPTM [1.2K]
Short Answer A
Comment

It's a good thing that the domain is confined or the graph is. That function is undefined if x < - 3 

At exactly x = - 3, f(x) = 0 and that's your starting point.

So look what happens to this graph. If x = 0, f(0) =  y = 3. So we are starting to see that as x get's larger so does f(x). The graph tells us that x = 0 is bigger than x = - 3.

Let's keep on plugging things in.
As x increases to 5, f(5) = 5. x = 5 is larger than x = 0, and f(5) > 3.

One more and then we'll start drawing conclusions. If x = 9 then f(9) = y =  6. 
x = 9 is larger than x = 5. f(9) = 6 is just larger than f(5) which is 5

OK I think we should be ready to look at answers. There's nothing there that makes the answer anything but a. Let's find out what the problem is with the rest of the choices.

B
The problem with B is that as x increases, f(x) does not decrease. We didn't find one example of that. So B is wrong.

C
C has exactly the same problem as B. 

D
The second statement in D is incorrect. As x increases f(x) never decreases. No example showed that.

The answer is A <<<< Answer.
8 0
3 years ago
Evaluate -1-3-(-9)+(-5)
babunello [35]

To evaluate this expression, we need to remember that subtracting a negative number is the same as adding a positive number, and that adding a negative number is the same as subtracting a positive number. Using this knowledge, let's begin to simplify the expression below:

-1 - 3 - (-9) + (-5)

Because addition of a negative number is the same as subtraction of a positive number, we can change + (-5) to -5, as shown below:

-1 - 3 - (-9) - 5

Next, because we know that subtracting a negative number is the same as adding a positive number, we can change - (-9) to + 9, as shown below:

-1 - 3 + 9 - 5

Now, we can subtract the first two terms and begin to evaluate our expression:

-4 + 9 - 5

Next, we can add the first two numbers of the expression:

5 - 5

Now, we can subtract our last two numbers, which gives us our answer:

0

Therefore, your answer is 0.

Hope this helps!

3 0
3 years ago
Rewrite these in increasing order of length:<br> 133 dm. 433 cm, 308 km, 91 mm
Oksi-84 [34.3K]

\boxed{91mm

<h2>Explanation:</h2>

First of all, let's transform each measurement into meter knowing the following relationships:

1dm=0.1m \\ \\ 1cm=0.01m \\ \\ 1km=1000 m \\ \\ 1mm=0.001m

Therefore, we can compute the following:

\bullet \ 133dm \rightarrow 133dm(\frac{0.1m}{1dm})=13.3m \\ \\ \bullet \ 433cm \rightarrow 433cm(\frac{0.01m}{1cm})=4.33m \\ \\ \bullet \ 308km \rightarrow 308km(\frac{1000m}{1km})=308,000m \\ \\ \bullet \ 91mm \rightarrow 91mm(\frac{0.001m}{1mm})=0.091m

Writing this in increasing order:

0.091m

<h2>Learn more:</h2>

jovian planets in order of increasing distance from the Sun: brainly.com/question/12534549

#LearnWithBrainly

7 0
3 years ago
Explain why vertical angles cannot be adjacent angles?
iris [78.8K]

Adjaadjacent angles are angles that are the vertex but vertical angles are lines that cross each other.

6 0
3 years ago
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