Answer: 18 animals
Step-by-step explanation:
3 out of 20 pet owners get their pet from a breeder.
To find how many animals have been bought from a breeder, you need to find 3/20 of the 122 animals.
3/20 = 0.15
122 * 0.15 = 18.3
18.3 rounds down to 18
There are 18 animals who have been bought from a breeder.
Answer:
a) d²y/dx² = ½ x + y − ½
b) Relative minimum
Step-by-step explanation:
a) Take the derivative with respect to x.
dy/dx = ½ x + y − 1
d²y/dx² = ½ + dy/dx
d²y/dx² = ½ + (½ x + y − 1)
d²y/dx² = ½ x + y − ½
b) At (0, 1), the first and second derivatives are:
dy/dx = ½ (0) + (1) − 1
dy/dx = 0
d²y/dx² = ½ (0) + (1) − ½
d²y/dx² = ½
The first derivative is 0, and the second derivative is positive (concave up). Therefore, the point is a relative minimum.
The two given angles are vertical angles and equal each other:
3x + 50 = 6x -10
Now solve for x:
Subtract 3x from both sides:
50 = 3x -10
Add 10 to both sides:
60 = 3x
Divide both sides by 3
X = 20
I believe in standard form this would be 31/2 + 27i/2
For this problem, you would use the Pythagorean Theorem (a^2 + b^2 = c^2)
A and B are the length and width of the triangle. The triangle is created by the diagonal line splitting the computer screen. C is the hypotenuse, which is the diagonal line, and will always be the longest side of the triangle.
When we plug in the numbers into the formula, we would get this:
13^2 + b^2 = 15^2
B is the unknown variable in which we are trying to find.
First, you square 13 and 15:
169 + b^2 = 225
Then, subtract 169 from both sides:
b^2 = 56
Finally, find the square root of both sides:
b = 7.483314774
Simplify to the nearest tenth, and the answer is 7.5<span />
