Answer:
On second day: 500 cm^3
On third day: 250 cm^3
Step-by-step explanation:
Let x be the initial amount of helium gas in the balloon.
As it is mentioned in the question that the balloon loses half of it's gas in one day. So after one day the gas will be half of the current volume. And to calculate the volume of gas the next day, the reduced volume will be divided by two.
So,
x = 1000 cm^3
Volume on second day,
x1 = 1000/2
=> 500 cm^3
Volume of gas on third day
x2 = x1/2
=> 500/2
=> 250 cm^3
Answer:
C. three; three
Step-by-step explanation:
Both an altitude and a median are a line segment with a vertex of the triangle on one end. There are 3 vertices in a triangle, so 3 altitudes and 3 medians.
D 35 units squared. If you would graph it on a piece of graph paper or look at the points one side would be the difference between 10 and 3 and the other side would be the difference between 7 and 2. Then taking those totals multiple them together to get the area
Answer:
-(9 x^2 + 15 x - 2)
Step-by-step explanation:
Simplify the following:
-(8 x^2 + 8 x + 8) - x^2 - 7 x + 10
Factor 8 out of 8 x^2 + 8 x + 8:
-x^2 - 7 x + 10 - 8 (x^2 + x + 1)
-8 (x^2 + x + 1) = -8 x^2 - 8 x - 8:
-8 x^2 - 8 x - 8 - x^2 - 7 x + 10
Grouping like terms, -x^2 - 8 x^2 - 7 x - 8 x - 8 + 10 = (-x^2 - 8 x^2) + (-7 x - 8 x) + (10 - 8):
(-x^2 - 8 x^2) + (-7 x - 8 x) + (10 - 8)
-x^2 - 8 x^2 = -9 x^2:
-9 x^2 + (-7 x - 8 x) + (10 - 8)
-7 x - 8 x = -15 x:
-9 x^2 + -15 x + (10 - 8)
10 - 8 = 2:
-9 x^2 - 15 x + 2
Factor -1 out of -9 x^2 - 15 x + 2:
Answer: -(9 x^2 + 15 x - 2)
Answer:
1
2
0.5
Step-by-step explanation: