Answer:
7/8 - 7x/9
Step-by-step explanation:
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Answer:
0.3 galloons of water.
Step-by-step explanation:
We know that 1/5 galloons of water fills 2/3 of the bin.
So, we can write the following fraction:
We want to find how many galloons will fill the entire bin or 1 whole bin. So, we can write the following proportion:
To find our answer, we need to solve for x.
So, let's cross-multiply. This yields:
Multiply both sides by 3:
The left side simplifies. Multiply on the right:
Now, multiply both sides by 1/2:
Simplify the left. Multiply on the right:
So, 3/10 of 0.3 of a gallon of water will fill the entire bin.
And we're done!
Answer:
2.875c
Step-by-step explanation:
Answer:
y"(2, 1) = -5
Step-by-step explanation:
Step 1: Define implicit differentiation
5 - y² = x²
Step 2: Find dy/dx
- Take implicit differentiation: -2yy' = 2x
- Isolate y': y' = 2x/-2y
- Isolate y': y' = -x/y
Step 3: Find d²y/dx²
- Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
- Substitute y': y" = [-y - (-x/y)(-x)] / y²
- Simplify: y" = [-y - x²/y] / y²
- Multiply top/bottom by y: y" = (-y² - x²) / y³
- Factor negative: y" = -(y² + x²) / y³
Step 4: Substitute and Evaluate
y"(2, 1) = -(1² + 2²) / 1³
y"(2, 1) = -(1 + 4) / 1
y"(2, 1) = -5/1
y"(2, 1) = -5
Answer:
A
Step-by-step explanation:
A cube has 6 sides
Only one side of the cube has 2 on it
The probability of getting 2 would be 1/6
Only one side of the cube has 6 on it
The probability of getting 6 would be 1/6
For both events to happen together
1/6 x 1/6 = 1/36
