Answer:
The answer would be 22/12 or 1 and 11/12
Step-by-step explanation:
1/2+2/3+3/4
First get common denominators so you have a denominator of 12 so 6/12+8/12+9/12
Add those together and you get 23/12 but you have to subtract one because that's what the problem says so you get 22/12
I would say that the option you have selected in the image is the only one that is correct because it is the only one that uses a similar sign, ~, rather that a congruent symbol.
Answer:
10.47 s
Step-by-step explanation:
We must solve the quadratic equations for t.
1. On the moon
h = -0.8t² + 10t +2
The standard form of a quadratic equation is
y = ax² + bx + c = 0
By comparing like terms, we see that
a = -0.8; b = 10; c = 2
We can now use the quadratic formula:
(a) Evaluate the discriminant D
D = b² - 4ac = 10² - 4 × (-0.8) × 2 = 100 + 6.4 = 106.4
(b) Solve for x
2. On the Earth
(a) Evaluate the discriminant
D = b² - 4ac = 10² - 4 × (-4.9) × 2 = 100 + 39.2 = 139.2
(b) Solve for x
3. Difference in time of flight
Time on Moon - time on Earth = 12.70 s - 2.22 s = 10.47 s
The ball will stay in flight 10.47 s longer on the moon than on Earth.
The graphs below show the times of flight on the Moon and on Earth
Step-by-step explanation:
The seedling grew 1 1/6 inches or approximately 1.16 inches. 1/3 is equal to 2/6, 2/6 + 5/6 = 7/6
7/6 = 1 1/6