Answer:
2⁵× 2ˣ = 256
x= 3
(1/3)² (1/3)ˣ = 1/729
x= 4
Step-by-step explanation:
2⁵× 2ˣ = 256
x= 3
use Product Rule: xᵃxᵇ=xᵃ⁺ᵇ
convert both sides to the same base.
2⁵⁺ˣ = 2⁸
cancel the base of 2 on both sides.
5+x=8
subtract 5 from both sides.
x=8-5
simplify 8-5 3.
x=3
(1/2)² (1/3)ˣ = 1/729
x = 4
use division distributive property: (x/y)ᵃ=xᵃ/yᵃ
i hope this helped i didn't feel like typing the rest out though lol :(
Answer:

Step-by-step explanation:
To find the inverse of a function, we must substitute in y for f(x), swap the locations of y and x, and then solve for y

Answer:
- A) A = 27.3°, B = 56.1°, C = 96.6°
Step-by-step explanation:
<u>Use the Law of Cosines:</u>
- A = arccos [(b² + c² - a²)/(2bc)] = arccos [(13.2² + 15.8² - 7.3²)/(2*13.2*15.8)] = 27.3°
- B = arccos [(a² + c² - b²)/(2ac)] = arccos [(7.3² + 15.8² - 13.2²)/(2*7.3*15.8)] = 56.1°
- C = 180° - (A + B) = 180° - (27.3° + 56.1°) = 96.6°
Correct choice is A.
Teachers often all this problem a donut problem because it’s like the donut hole getting cut out of the middle. The way that you solve this is to find the area of the whole yard and subtract the area of the fountain. Since they are rectangles we’re going to use A = LW
Area of yard - Area of fountain
A = (8x)(9x) - (2x)(5x)
A = 72 x^2. - 10 x^2
A 62 x^2
Answer: The Answer is A
Step-by-step explanation: