Answer: The 20th term is 100
Step-by-step explanation: It adds by 6 each time
-14, -8, -2, 4, 10, 16, 22, 28, 34, 40, 46, 52, 58, 64, 70, 76, 82, 88, 94, 100
Answer: C) x = 2
2^{2x + 2} = 2^{3x}
Since both terms (above) have the same base, set the exponents to be equal:
2x + 2 = 3x (Rearrange to solve for x)
x = 2
∴ x = 2
Hello! And thank you for your question!
First add 5/3 to both sides:
2x = 7 + 5/3
Then simplify 7 + 5/3:
2x = 26/3
Then divide both sides by 2:
x = 26/3 over 2
After that simplify 26/3/2:
x = 26 over 3 x 2
Simplify 3 x 2:
x = 26/6
Simplify:
x = 13/3 or 4 1/3
Final Answer:
x = 13/3 or 4 1/3
Answer:
48.06 to the nearest hundredth.
Step-by-step explanation:
f(x) = -16x^2 + 2x + 48
To find the maximum height we convert to vertex form:
= -16(x^2 + 1/8x) + 48
= -16[x + 1/16)^2 - 1/256] + 48
= -16(x + 1.16)^2 + 16/256 + 48
= 48.0625.
Given that the distance between two lines in the measurement instrument is 0.01m, the maximum error should be 0.01m/2 = 0.005 m.
If you do a good work, the real measure is 1.20m +/- 0.005m, this is between 1.195 and 1.205.
