Which expression is equivalent to log3(x + 4)?
2 answers:
Answer:
log[3(x+4)] is equal to log(3) + log(x + 4), which corresponds to choice number three.
Step-by-step explanation:
By the logarithm product rule, for two nonzero numbers and
,
.
Keep in mind that a logarithm can be split into two only if the logarithm contains the product or quotient of two numbers.
For example, is the number in the logarithm
. Since
is a product of the two numbers
and
, the logarithm
can be split into two. By the logarithm product rule,
.
However, cannot be split into two since the number inside of it is a sum rather than a product. Hence choice number three is the answer to this question.
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Answers:
P(A) = 7/12
P(B) = 1/4
====================================================
Explanation:
Instead of having one die, let's say we have two dice. I'll make one red and the other blue.
I'll be using the dice chart shown below. The red and blue values add up to the black numbers inside the table. For instance, we have 1+1 = 2 in the upper left corner. There are 6*6 = 36 sums total.
Using that table, we can see the following:
- There are 6 copies of "7"
- There are 5 copies of "8"
- There are 4 copies of "9"
- There are 3 copies of "10"
- There are 2 copies of "11"
- There is 1 copy of "12"
In total, we have 6+5+4+3+2+1 = 21 instances where the two dice add to something larger than 6.
This is out of 36 ways to roll two dice.
Therefore P(A) = 21/36 = (3*7)/(3*12) = 7/12
-----------------------------------
If a number is divisible by 4, then it is a multiple of 4.
The multiples of 4 found in the table are: 4, 8, 12
We have
- 3 copies of "4"
- 5 copies of "8"
- 1 copy of "12"
This gives 1+5+3 = 9 values that are a multiple of 4
P(B) = 9/36 = (1*9)/(4*9) = 1/4
The distances between the two points, in units, are given as follows:
7.
8.
9.
10.
The midpoints are given as follows:
11. (7,-4.5).
12. (2,4).
13. (7,0.5).
14. (5.5,-1.5).
<h3>What is the distance between two points?</h3>Suppose that we have two points, and
. The distance between them is given by:
For item 7, the points are (-3,-2) and (-4,-3), hence the distance is:
For item 8, the points are (-3,1) and (5,3), hence the distance is:
For item 9, the points are (-3,0) and (0,-3), hence the distance is:
For item 10, the points are (1,-2) and (4,4), hence the distance is:
The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
Hence, for item 11, the midpoint is given by:
[0.5(9 + 5), 0.5(1-10)] = (7,-4.5).
For item 12, the midpoint is given by:
[0.5(-5 + 9), 0.5(7 + 1)] = (2,4).
For item 13, the midpoint is given by:
[0.5(9 + 5), 0.5(9 - 8)] = (7,0.5).
For item 14, the midpoint is given by:
[0.5(10 + 1), 0.5(4 - 7)] = (5.5,-1.5).
More can be learned about the distance between two points at brainly.com/question/18345417
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Answer:
325 pencils, 650 markers, 975 pens
Step-by-step explanation:
in picture.
Answer:
Step-by-step explanation:
1. To find the equation asked, you must add the times:
Where is the time takes Lilly in her path to work and
is the time takes Lilly in her path to home.
2. You must use the following formula of speed and solve for the time
Where n is the distance, V is the speed and t is the time.
3. You know that Lilly takes a train each day to work that averages 35 miles per hour, then, you can write the following expression:
4. And her train ride follows the same path at 45 miles per hour:
5. Then, you obtain the following equation: