Answer:
12x+4xy
Step-by-step explanation:
4x(3+y)
12x+4xy
You distribute the 4x in the parenthesis
Answer:
He has to dip it 5 times
Step-by-step explanation:
each time he dips it, he gets 1 1/2, or 1.5 gallons. how many times can you add 1.5 to 6 1/2, or 6.5. It is 4 1/3 times, but since you can't dip the bucket 1/3 of a time, it is counted as 1, so 5
Answer:
2/9
Step-by-step explanation:
The question asks to calculate the number of boys in a group who has brown eyes given the fraction of the boys having the brown eyes.
To do this, we can take any arbitrary value for the total number of students in the math club. Let’s say this is 360 students.
Now, we are told that half of these number are boys. The total number of boys is thus 180 boys. Also, we are made to know that 4/9 of these boys have brown eyes. This means 4/9 of 180 boys have brown eyes. This is numerically equal to 4/9 * 180 = 80 boys.
Hence, the fraction of the math club with brown eyes is 80/360 = 2/9
We are given with the equation y = 2x*log[10](sqrt(x)) we use the rule of products of the differential equation to answer this problem. y' = u dv + v du. derivative of 2x is 2 while the derivative of log(sqrt(x)) with base 10 is 1/x ln10 * (0.5x^-0.5) in this case,
y' = 2 log[10](sqrt(x)) + 2x* 1/x ln10 * (0.5x^-0.5)
y' = 2 log[10](sqrt(x)) + l/ ln 10 sqrt(x)
