Answer:
I don't get it
Step-by-step explanation:
The equivalent of 4 meters is 4.374 yards
Answer:
The answer is below
Step-by-step explanation:
The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.
Answer:
Part A:
Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet at a rate of 7.5 ft/s
Part B:
Between 2 and 4 seconds, the height stays constant at 75 feet.
Part C:
Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet at a rate of -17.5 ft/s
Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet at a rate of -10 ft/s
Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet at a rate of -10 ft/s
Hence it fastest decreasing rate is -17.5 ft/s which is between 4 to 6 seconds.
Part D:
From 10 seconds, the balloon is at the ground (0 feet), it continues to remain at 0 feet even at 16 seconds.
Answer:
Amount of 5% solution = 5.7 Litres
Amount of 40% solution = 4.3 Litres
Step-by-step explanation:
First, of all, let x be the amount of 5% solution used
Since, the scientist needs 10 L of solution, then;
Let 10 - x be the amount of 40% solution used
Now, we are told that she needs 10 L of a 20% acid solution.
This means that;
5%x + 40%(10 - x) = 20%(10).
Simplifying this gives;
0.05x + 0.40(10 - x) = 0.20 × 10
Expanding the bracket gives;
0.05x + 4 - 0.4x = 2
0.4x - 0.05x = 4 - 2
0.35x = 2
x = 2/0.35
x ≈ 5.7 litres
Thus, she will need to mix 5.7 liters of the 5% solution.
Since 10 - x be the amount of 40% solution used , then;
the amount of 40% solution = 10 - 5.7 = 4.3 litres
The answer is 0.125....................................
