A recipe says that 1 and 3/4 cups of baking soda are needed to make one batch of a homemade cleaning product. How many total cup
2 answers:
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Answer:
Step-by-step explanation:
We start off with 3.2n + 13.3 = 26.1.
We need to get n by itself.
Subtract 13.3 from both sides.
We end up with:
Divide 3.2 on both sides to get n by itself.
Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.
Answer:
Step-by-step explanation:
Let x, y , and z be the numbers.
Then the geometric sequence is
Recall that term of a geometric sequence are generally in the form:
This implies that:
a=32 and
Substitute a=32 and solve for r.
Take the fourth root to get:
Therefore