Answer:3,349
Step-by-step explanation: (3.14)(8)^2(29)=5827.84
2/3(3.14)(8)^3=1071.787
Answer:
-6 < y < ∞
Step-by-step explanation:
The range is the value of the output, in this case the value of y
The value is from -6 not including -6 to infinity
-6 < y < ∞
Answer:
C. from -6 to infinity
Step-by-step explanation:
The range is the set of the y-coordinates of the points of the function.
The lowest value of y is -6 or just greater than -6.
All values greater than y are also part of the range.
Answer: Choice C. from -6 or just greater than -6 to infinity
9514 1404 393
Answer:
x = 10 2/3
Step-by-step explanation:
The ratios of corresponding sides are the same, so we have ...
x/8 = 8/6
x = 8·(8/6) = 64/6
x = 10 2/3
Does the football go over the goal post? How far above or below the goal post is the football? Use two or more complete sentences to explain your answers. (Hint: The unit conversion is built into the given function.)
Vertical Motion Model
The height, h, in feet of a projectile can be modeled by h = -16t 2 + vt + s where t is the time in the air in seconds, v is the initial vertical velocity, and s is the initial height in feet.
2. A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.
Write an equation to model the height of the ball: h = -16t 2 ___t + ____.
Complete the table.
Time t in seconds 0 0.5 1 1.5 ?
Height h in feet ? ? ? ? 0
3. A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.
Is the ball at its maximum height after 1 second? In two or more complete sentences, explain how you know whether or not the ball is at its maximum height.
-3y+4=-11
Answer:
C. (7x + 4)(7x − 4)
Step-by-step explanation:
Given expression:
49x² - 16
Using difference of two squares:
A² - B² = (A + B)(A - B)
49x² - 16 = (7x)² - (4)²
= (7x + 4)(7x - 4)
C. (7x + 4)(7x − 4)
Check:
(7x + 4)(7x − 4)
Open parenthesis
= 49x² - 28x + 28x - 16
= 49x² - 16