Answer:
x ≈ 11.09
Step-by-step explanation:
Using the rule of logarithms
x = n ⇒ x = ![b^{n}](https://tex.z-dn.net/?f=b%5E%7Bn%7D)
Given
ln(x + 9) = 3 , that is
(x + 9) = 3 , then
x + 9 = e³ ( subtract 9 from both sides )
x = e³ - 9 ≈ 11.09 ( to the nearest hundredth )
Volume of the sphere: [4/3]π (r^3) = [4/3]π(5a)^3 = [4/3]π*125a^3 =
Volume of the cone: [1/3]π(r^2)H = [1/3]π(3a)^2 * H = 3πa^2 * H
Volumen of the sphere = Volumen of the cone =>
[4/3]π*125a^3 = 3πa^2 * H => H = [500/9]a = 55.55 a
Answer:
I wouldn't even say that the answer is 0.
Step-by-step explanation:
I say that because you can not simplify -x.
Landon's score is: 141
Step-by-step explanation:
Let x be the scores of Landon
and y be the scores of Chris
Then
![x+y=209\ \ \ \ Eqn 1](https://tex.z-dn.net/?f=x%2By%3D209%5C%20%5C%20%5C%20%5C%20Eqn%201)
And
![x=2y+5\ \ \ \ Eqn\ 2](https://tex.z-dn.net/?f=x%3D2y%2B5%5C%20%5C%20%5C%20%5C%20Eqn%5C%202)
Put\ x=2y+5\ in Eqn 1
![2y+5+y=209\\3y+5=209](https://tex.z-dn.net/?f=2y%2B5%2By%3D209%5C%5C3y%2B5%3D209)
subtracting 5 from both sides
![3y+5-5=209-5\\3y=204](https://tex.z-dn.net/?f=3y%2B5-5%3D209-5%5C%5C3y%3D204)
Dividing both sides by 3
![\frac{3y}{3} = \frac{204}{3}\\y=68](https://tex.z-dn.net/?f=%5Cfrac%7B3y%7D%7B3%7D%20%3D%20%5Cfrac%7B204%7D%7B3%7D%5C%5Cy%3D68)
Putting y=68 in equation 2
![x=2(68)+5\\x=136+5\\x=141](https://tex.z-dn.net/?f=x%3D2%2868%29%2B5%5C%5Cx%3D136%2B5%5C%5Cx%3D141)
Landon's score is: 141
Keywords: Linear equations, Variables
Learn more about linear equations at:
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Hope this helps and please make mine the Brainliest answer!