Carol is painting a four square game court on a school playground. The four small squares are all the same size. If the total ar
2 answers:
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Answer:
The region represented by the equation is a full sphere of radius √3 centered in the origin of coordinates.
Step-by-step explanation:
<em>In a plane xy, the equation that represents a circle with center in the origin, of radius r is</em>
<em>in R³, or a space xyz, we can represent a sphere with its center in the origin, and of radius r, with the equation</em>
So, in this problem we have that
which means that the sphere has a radius of √3.
<u>Finally, our equation is an inequality</u>, and the sphere is equal to, and less than, the calculated radius.
Therefore, the sphere is "full" from the surface to its center.
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 =
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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