Answer: No Solution
<u>Step-by-step explanation:</u>
ln x - ln (x + 2) = 4 restrictions: x > 0 and x + 2 > 0 → x > 0
ln
= 4
= e⁴
x = e⁴ (x + 2)
x = 54.5982 (x + 2)
x = 54.5982x + 109.1964
- 53.5982x = 109.1964
x = 
x = -2.0373
-2.0373 is not greater than 0 so is not valid
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Answer: 2.1972
<u>Step-by-step explanation:</u>
eˣ = 9
ln eˣ = ln 9
x = ln 9
x ≈ 2.1972
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Answer: 
<u>Step-by-step explanation:</u>
log₂ (3x - 4) = -1
3x - 4 = 2⁻¹
3x - 4 = 
<u> +4 </u> <u>+4 </u>
3x = 
3x = 

x = 
**************************************************************************
Answer: 1.117519
<u>Step-by-step explanation:</u>
in the calculator, type in 1 ÷ 9.
Then hit the eˣ button.
e¹⁾⁹
= e°¹¹¹¹¹¹
= 1.117519
rounded to 6 decimal places: 1.117519
Answer:
$300
Step-by-step explanation:
Multiply 1,200 by .25 and that is your answer
Answer:
1985 cubic units (written as un. with the cubed exponent)
Step-by-step explanation:
First, you find the volume of the cylinder
Here's the formula:

Now, you plug in and solve.

Then, you find the volume of the dome.
Here's the formula:

Now, you just plug in and solve.

Finally, you add them together, and there's your answer!

Hope this helped!
<em>brainliest?</em>
Answer:
70
Step-by-step explanation:
= First term = 
= Common difference = 
= Number of terms = 20
Sum of arithmetic progression is given by
![S=\dfrac{n}{2}[2a_1+(n-1)d]\\\Rightarrow S=\dfrac{20}{2}\times (2\times \dfrac{1}{3}+(20-1)\dfrac{1}{3})\\\Rightarrow S=70](https://tex.z-dn.net/?f=S%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a_1%2B%28n-1%29d%5D%5C%5C%5CRightarrow%20S%3D%5Cdfrac%7B20%7D%7B2%7D%5Ctimes%20%282%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%2B%2820-1%29%5Cdfrac%7B1%7D%7B3%7D%29%5C%5C%5CRightarrow%20S%3D70)
The sum of the first 20 terms of the arithmetic sequence is 70.
Answer:
pano ba yan mag isip ka may utak ka tanga