Answer:
4√(xy³)
Step-by-step explanation:
8√(x²y⁶)
The above expression can be simplified as follow:
8√(x²y⁶)
Recall:
m√a = a^1/m
Therefore,
8√(x²y⁶) = (x²y⁶)^1/8
Recall:
(aⁿ)^1/m = a^(n/m)
Therefore,
(x²y⁶)^1/8 = x^(2/8)•y^(6/8)
= x^1/4•y^3/4
= (xy³)^1/4
Recall :
a^1/m = m√a
Therefore,
(xy³)^1/4 = 4√(xy³)
Therefore,
8√(x²y⁶) = 4√(xy³)
Answer:
20.3 ft
Step-by-step explanation:
The object-shadow ratio for the stick= 3÷1.5=2:1
The object-shadow ratio is same for all objects.
Let height of the tree be x
2/1 = x/10.15
x=10.15 * 2=20.3
Answer:
to provide interest in the subject
As per my experience,I used to hate math and always scored less marks,the moment I was going to high school I realized the importance of math towards the future, see you'll find maths in nearly all subjects like the 3 sciences, economics, geography, business e.t.c
Why did you write this question at first?, just take some free time and think about it,the only best way to learn maths is to take maths positively as the best and most valuable subject,if you want to ace math you have to race it, challenge math like you'd challenge anyone to a game, practice math if it's your weakest point, practice is very much needed to skill maths and never be shy to ask your teachers whether you are studying online/offline. You'll need to get the shy behaviour out of you whether you like /don't like your teacher or your an average student.
Concentrate while learning math, whether there's noise in you background or not, Nothing can stop you in excelling math if you have full concentration, positiveness and the "will" to do so.
if you're next to your exams then just one thing, Start now!!
hope this helps!
Answer: 3
<u>Explanation:</u>
Since we want the least number of integers, divide by the largest integer (9).
2018 ÷ 9 = 224 remainder 2
So, N = 2999...999 <em>(there are 224 of the 9's) </em>
Thus, N + 1 = 2999...999 + 1 <em>(there are 224 of the 9's) </em>
<em> </em>= 3000...000 <em>(there are 224 of the 0's) </em>
The sum of the digits is: 3 + 0 + ... + 0 <em>(there are 224 of the 0's) </em>
= 3
Answer:
Step-by-step explanation:
Data provided
represent the sample mean in mg per deciliter of cholesterol level
represent the sample standard deviation
sample size
represent the value that we want to test
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the mean is higher than 53 mg per deciliter, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
Replacing into the formula we got:
P-value
We need to find first the degrees of freedom:
The p value for this case since we have a right tailed test is:
