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Finger [1]
3 years ago
10

Log(8)a/2. Expand the logarithmic expression.

Mathematics
1 answer:
maks197457 [2]3 years ago
5 0
Log(8a/2) = log8 + log a - log 2

The simple rules here are: If logarithms (as in this case) have same basis, factors inside logarithm can be written as sum of logarithms or difference between logarithms (first if factors are multiplying and second if factors are dividing)
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How many degrees has ABC been rotated counterclockwise about the<br> origin?
omeli [17]

Answer:

C

Step-by-step explanation:

It would take 90 degree to rotate clockwise so it will take 360-90=270 degree to rotate counterclockwise

3 0
3 years ago
Read 2 more answers
-(4x - 5) + 16x ≥ -31<br> can you solve this inequality equation?
Elis [28]

Answer: x≥-3

Step-by-step explanation:

-(4x-5)+16x≥-31

-4x+5+16x≥-31

12x+5≥-31

   -5  -5

12x≥-36

12/12x≥-36/12

x≥-3

hope this helped :)

3 0
3 years ago
Express 1023.4567 correct to 3 significant figures​
elena-14-01-66 [18.8K]

Answer:

1020

Step-by-step explanation:

well, the first three significant figures stops at the 102, so round the 1023.4567 to a whole number which just becomes 1023

then, round the answer so you only have the 102, so you would round down since 4 or less, which 3 is less than 4, you round down, and you would get 1020

that last 0 is not a significant figure because it does not have a decimal point or any other number following after it--any 0s at the end of a number are not significant if there is no decimal point or other number after them.

4 0
3 years ago
If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the ____
lbvjy [14]

If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the Poisson probability distribution.

How do you find the probability of success for each trial?

  • Each trial has a head (success) and a tail (failure) outcome (failure). Each trial's chances of success are p = 1/2 and its chances of failure are q = 1 1/2 = 1/2.
  • The variable X, which counts the number of successes across 12 trials, is the one that interests us. This is an illustration of a 12-trial Bernoulli experiment.

What is the probability formula?

Probability is equal to the number of favorable outcomes (Total number of outcomes) P = n (E) / n (S) E is the event, P is the probability, and S is the sample area.

Learn more about probability

brainly.com/question/11234923

#SPJ4

4 0
2 years ago
Why is the answer B? Plz explain.
sergeinik [125]
For line l to intersect line m at point (2, 1/2), line m must have the point (2,1/2) on its graph. It is implied that line l already has the point (2, 1/2). If line m does not have it, then there will be no intersection at that specific point.

Try checking every choice to see if it has point (2,1/2) on the graph.
Note that (x,y) = (2,1/2); check by using x=2 and y=1/2.

For A,

   2x = y/2
   2(2) = (1/2) / 2
   4 <span>≠ 1/4
</span>
Cannot be choice A as it results in a false equation; this choice will not go through (2,1/2)

For B:

   2y = 3 - x
   2(1/2) =  3 - 2
   1 = 1

This is a true equation so the point (2,1/2) is on the graph of 2y=3-x. This means that if this is the equation for line m, then line m will have a point at (2,1/2) and therefore intersect with line l. Therefore, B is the answer.

The rest of the choices are false as shown:

For C:
 
   2x + 4y = 8
   2(2) + 4(1/2) = 8
   4 + 2 = 8
   6 ≠ 8

Cannot be choice C as it results in a false equation; this choice will not go through (2,1/2)

For D:

   y = 4 - (5/4)x
   1/2 = 4 - (5/4)(2)
   1/2 = 4 - 5/2
   1/2 = 8/2 - 5/2
   1/2≠ 3/2

Cannot be choice D as it results in a false equation; this choice will not go through (2,1/2)
4 0
3 years ago
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