Answer:
- C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)
Step-by-step explanation:
Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.
<u>Volume of cylinder up to water level:</u>
- Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)
<u>Volume of marbles:</u>
- Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)
<u>Volume of water:</u>
- Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)
Correct choice is C
Answer:
A
Step-by-step explanation:
It is A, because it tells you the equation of
-5x + 8 ≥ -7
Because the key on the right tells you that shaded squares are negative and white ones are positive.
You can then subtract both sides by 8 to isolate the -5x and the equation becomes:
-5x ≥ -7 - 8
Which simplifies to
-5x ≥ -15
which you can now divide both sides by -5 to get
x ≥ 3
BUT WAIT
the general rule is that when you divide a variable (in this case x) by a negative number, you have to flip the inequality sign
so ≥
should become ≤
so the equation is x ≤ 3
The answer is (x-3)(x-3).
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