Answer:
125/6(In(x-25)) - 5/6(In(x+5))+C
Step-by-step explanation:
∫x2/x1−20x2−125dx
Should be
∫x²/(x²−20x−125)dx
First of all let's factorize the denominator.
x²−20x−125= x²+5x-25x-125
x²−20x−125= x(x+5) -25(x+5)
x²−20x−125= (x-25)(x+5)
∫x²/(x²−20x−125)dx= ∫x²/((x-25)(x+5))dx
x²/(x²−20x−125) =x²/((x-25)(x+5))
x²/((x-25)(x+5))= a/(x-25) +b/(x+5)
x²/= a(x+5) + b(x-25)
Let x=25
625 = a30
a= 625/30
a= 125/6
Let x= -5
25 = -30b
b= 25/-30
b= -5/6
x²/((x-25)(x+5))= 125/6(x-25) -5/6(x+5)
∫x²/(x²−20x−125)dx
=∫125/6(x-25) -∫5/6(x+5) Dx
= 125/6(In(x-25)) - 5/6(In(x+5))+C
Ones place: 9
Tens place: 9
Hundreds place: 6
Thousands place: 4
Ten thousands place: 3
Which is 34,699
Now that we know 3 is in the ten thousand's place.
So then go from 3, and jump too 4. If the number is higher then 5, the 3 would become a 4. If the number is lower then 5, 4 would become a 0 and so will the rest of the number's too the right.
34,699 ---> 30,000
That being said, the answer is 30,000!
I hope this help's! :)
-LizzyIsTheQueen
Answer:
x= 3
Step-by-step explanation:
x on triangle 1 is 5 times less than 15
x on triangle 2 is 3 times bigger than 10
Hope this helps!
Is there more to the problem?
Answer:
83422.5 grass seeds
Step-by-step explanation:
Applying,
A = 1/2bh....................... Equation 1
Where A = Area of the Triangle, b = base, h = height.
But, from the diagram,
tanФ = 20/b
b = 20/tanФ.................. Equation 2
Substitute equation 2 into equation 1
A = 1/2(20/tanФ)(h)................ Equation 3
Given: h = 20 m, Ф = 40°
Substitute these values into equation 3
A = 1/2(20×20)/tan40°
A = 200/tan40°
A = 238.35 m²
If the seed company recommends planting approximately 350 grass seeds per square meter,
Therefore,
Number of grass seed need = (350×238.35)
Number of grass seed needed = 83422.5 grass seeds
