Answer:
6 1/2 cubic feet
Step-by-step explanation:
A carton has a length of 2 1/6 feet
The width is 1 1/5 feet
The height is 2 1/2 feet
Therefore the volume of the carton can be calculated as follows
= length × width × height
= 2 1/6 × 1 1/5 × 2 1/2
= 13/6 × 6/5 × 5/2
= 390/60
= 13/2
= 6 1/2 cubic feet
Hence the volume of the carton is 6 1/2 cubic feet
Answer:
Step-by-step explanation:
Givens
pi = 3.14
d = 3.8
r = d/2
r = 3.8/2 = 1.9
Formula
V = (4/3) * pi * r^3
Solution
V = (4/3) * 3.14 * 1.9^3
V = 4/3 * 3.14 * 6.859
V = 28.7163
A. Some insects in a population survive temperature changes and pass their traits on to their offspring
Answer: The answer is A. It is located at -25 and is to the right of point A on the number line.
Step-by-step explanation:
On a number line, the number ZERO is in the middle. The positive numbers increase to the right meanwhile the negative numbers increase to the left.
Answer:
B) f(x) = -16(x - 1.5)² + 40
Step-by-step explanation:
The equation we have is: h(t) = -16x² + 48x + 4
The answers are all in vertex form, so we need to covert this equation into vertex form by completing the square.
Step 1: factor out -16 from the first 2 terms...
-16(x² - 3x) + 4
Step 2: complete the square on this term...
-16(x² - 3x + (3/2)² - (3/2)²)
-16(x² - 3x + (3/2)²) + 4 + 16(3/2)²
-16(x - 3/2)² + 4 + 16(9/4)
-16(x - 1.5)² + 4 + 4(9)
-16(x - 1.5)² + 40
So f(x) = -16(x - 1.5)² + 40
