Answer: The area is 12.55
Answer:
4(x) + 4(2)
Step-by-step explanation:
4(x+2) = 4(x) + 4(2)
Distribution property
Answer:
It is the graph of g(x) shifted 5 units right and 2 units down.
Step-by-step explanation:
Given : f(x)=log_2(x−5)−2
the parent function g(x)=log_2(x)
To get f(x) , 5 is subtracted from x
If we add any number with x then we shift left
If we subtract any number from x then we shift right
Here 5 is subtracted from x , so we shift 5 units right
Also -2 at the end
If we add any number at the end , then we shift up
if we subtract any number at the end , then we shift down
Here 2 is subtracted at the end , so we shift 2 units down
It is the graph of g(x) shifted 5 units right and 2 units down.
Calculate the mean,median,and mode of the following set of data. Round to the nearest tenth 10,1,10,15,1,7,10,1,6,13
lions [1.4K]
Let's start with the mean.
To find the mean of a data set, add all the numbers, then divide by the number of numbers there are.
10 + 1 + 10 + 15 + 1 + 7 + 10 + 1 + 6 + 13 = 74
74/10 = 7.4
The mean is 7.4
Now for the median.
To find the median put all the numbers in order, then find the middle number.
1, 1, 1, 6, 7, 10, 10, 10, 13, 15
The number in between 7 and 10 is 8.5
The median is 8.5
And finally, the mode.
To find the mode, find the number that appears the most.
1, 1, 1, 6, 7, 10, 10, 10, 13, 15
In this case, there are two modes. 1, and 10.
Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
Answer: the length of one edge of the square base of the second container is 6 inches.
Step-by-step explanation:
The formula for determining the volume of a rectangular container is expressed as
Volume = length × width × height
Considering the first container,
Length = 12 inches
Width = 8 inches
Height to which the water is filled is 6 inches.
Therefore, volume of water in the container is
12 × 8 × 6 = 576 inches³
Considering the second container,
Height of water = 16 inches
Let L represent the length of the square base. Then the area of the square base is L²
Volume of water would be 16L²
Since the water in the first container was poured into the second container, then
16L² = 576
L² = 576/16 = 36
L = √36
L = 6 inches
