Answer: 51.4275 or 51.428571 (repeating decimals) feet
Step-by-step explanation:
P = perimeter
L = length
W = width
Represent W as 
Find L
P = 2L + 2W
240 = 2L + 2(
)
240 = 2L + 
or you can write 3/2 as 1.5
240 = 2L + 1.5L
240 = 3.5L
L = ≈ 68.57 or 68.571428 (but this is <em>repeating decimals</em> so I rounded it)
Find W
= 51.4275
Or if you want unrounded version 51.428571 (repeating decimals)
Answer:
<h2>Option D is the right answer.</h2>
Step-by-step explanation:
We need to find the option for which the value of the function will be increasing, with the increasing variable.
Vertical line means the value of the x is constant, for any y. Hence, it is not the answer.
Horizontal line represents constant functions. Hence option B can not be the answer.
The data having a positive slope represents a <u>increasing function with the increasing variable</u>. Vice-versa for the data having a negative slope.
That is why option D will be the answer.
Answer: 7546feet²
Step-by-step explanation:
Since the pen has 308 feet of fencing, this is the perimeter of the circular pen and we can get the raduus which goes thus:
Circumference of a circle = 2πr
2πr = 308
2 × 22/7 × r = 308
44/7 × r = 308
r = 308 × 7/44
r = 49
Therefore, area of the circular pen will be:
= πr²
= 22/7 × 49 × 49
= 7546feet²
The answer is 35 different groups.
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
