Answer:
y(0) = 0.25 feet


Step-by-step explanation:
We are given the following information in the question:
The displacement from equilibrium of an oscillating weight suspended by a spring =

where y is the displacement in feet and t is the time in seconds.
Here, cos is in radians.
1) t = 0

y(0) = 0.25 feet
2) t = 


3) t = 


The negative sign indicates the opposite direction of displacement.
Answer:
500 grams
Step-by-step explanation:
Let's say that the total number of grams of the sample is x. We know that 30% of x is salt and we also know this quantity is 150 grams. So, we can write this as:
30% * x = 150
Remember that % is simply "out of 100", so 30% = 30/100 = 0.30. Then:
0.30 * x = 150
Divide both sides by 0.30:
x = 500 grams
Hope this helps!
Answer:
3. x = 53
4. x = 60
Step-by-step explanation:
Answer:
A) 3.5
16 shovels full
Step-by-step explanation:
9x + 13 = 17x - 15
8x = 28
x = 3.5
20 + 5x = 32 + 4.25x
0.75x = 12
x = 16
Answer:
He did not control for lurking variables and their impacts on the results of his experiment. Amount of sunlight and water received are two outside variables(or confounding variables) that may impact the growth of his plants and influence the results. He needs to apply the same amount of sunlight and water to each plant within a different planting soil in order to rule out the influence of those two variables and test the sole effect of the soil brand on the plant growth. Otherwise, it would be hard to determine whether his plant growth was because of the soil brand or the different amounts of sunlight and water received