We will use u-substitute:

Then for substitution:dx=u du. and integral becomes:

=u-ln(u+1)=

. Now we will change the values of limits:

=4-ln(5)-2+ln(3)=
2+ln(0,6)=2-0.51=1.49
We have the following dimensions:
w=wide
w+70=length
We have a right triangle:
leg₁=w
leg₂=w+70
hypotenuse=130
Pythagoras theorem:
leg₁²+leg₂²=hypotenuse²
Then:
w²+(w+70)²=130²
We have to solve that equation:
w²+(w+70)²=130²
w²+w²+140w+4900=16900
2w²+140w+4900-16900=0
2w²+140w-12000=0
(2w²+140w-12000)/2=0/2
w²+70w-6000=0
w=(-70⁺₋√(4900+24000)) / 2
=(-70⁺₋170) / 2
We have two possible solutions:
Solution 1
w=(-70-170)/2=-120 (this solution is not possible because the result is negative and it have no sense in this problem).
Solution 2
w=(-70+170)/2=50 (this is the right solution)
w=50
w+70=120
ANSWER: the length would be 120 u (u=units of length ) and the wide would be 50 u.
1. The algebraic property of equality that is
represented is the multiplication property. The answer is letter P.
2. The algebraic property of equality that is represented is the subtraction
property. The answer is letter E.
3. The algebraic property of equality that is represented is the substitution
property. The answer is letter M.
4. The algebraic property of equality that is represented is the division
property. The answer is letter A.
5. The algebraic property of equality that is represented is the addition
property. The answer is letter A.
6. The algebraic property of equality that is represented is the distributive
property. The answer is Letter E.
7. The algebraic property of equality that are represented is the transitive
property. The answer is letter is E.
8. The algebraic property of equality that are represented is the symmetric
property. The answer is Letter A.
9. The algebraic property of equality that are represented is the reflexive
property. The answer is letter C.
10. The algebraic property of equality that are represented by is the multiplication property.
The answer is letter P.
11. The algebraic property of equality that are represented is the subtraction property.
The answer is letter L.
12. The algebraic property of equality that are represented is the reflexive property.
The answer is letter S.
13. The algebraic property of equality that are represented is the transitive property.
The answer is letter U.
14. The algebraic property of equality that are represented is the symmetric property.
The answer is letter K.
The given is 3 5 14 2
4 1 10 11 6 12 8 13 9 7
Plugging in the letters we got for each number, gives us MAKE
APPLESAUCE.
Answer:

Step-by-step explanation:
The following formula is used to compute the Proportion of error-free units given the sigma level in Excel.
<em> The proportion of error-free units = NORMSDIST(Sigma Level - 1.5)
</em>
Suppose that a process is currently operating at a 3.5-sigma quality level.
The proportion of error-free units for this process is
NORMSDIST(3.5 - 1.5) = 0.977250
Therefore, the rejection rate is equal to

or 22750 PPM.
Now, consider a 6-sigma level process.
The proportion of error-free units equals
NORMSDIST(6.0 - 1.5) = 0.9999966
and the rejection rate is
Hence, reduction is PPM required per year , that is

reduction per year
(10/12) / (4/6)...when dividing with fractions, flip what u r dividing by, then multiply
10/12 * 6/4 = 10/8 which reduces to 5/4 or 1 1/4