Answer:
172 cm
Step-by-step explanation:
The total height of the first 7 people is the average of the 7 people multiplied by the number of people, which is 156 * 7 or 1092. Using the same method, the total height of the first 8 people is 158*8 or 1264. The eighth person must be 1264 - 1092 cm tall or 172 cm tall.
Answer:
Volume of cylinder A: 327.12
Volume of cylinder B: 251.92
Step-by-step explanation:
Answer:
B. negative infinity < x < positive infinity
Step-by-step explanation:
When a question asks for the domain of a function, it is asking for all possible x-values, so we can rule out choice A since there are clearly x-values greater than 1. This graph shows arrows pointing left and downward, indicating that the graph continues past what we can see. This tells us that even though the x-values look like they end at -10 and 2, they continue further, so we can also rule out option C and option D. After these eliminations, we are left with choice B, which is a way of writing "All real numbers," and is the domain for <u>all</u> exponential functions, including this one.
lmk if im incorrect about anything, hope this helps :)
ANSWER
The correct answers are option B and D.

EXPLANATION
The given expression is

We need to simplify the above expression in order to determine the option that is equivalent to it.
The least common denominator for the last two fractions is 3.
This implies that,

We simplify to obtain,

This further simplifies to give us,

This is option B.
When we further factor -4, we get,

This is option D.