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barxatty [35]
2 years ago
11

A company that builds computers found that 0.5% of their computers had a defective keyboard. How many

Mathematics
1 answer:
SIZIF [17.4K]2 years ago
5 0
1/0.05%


Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
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What is the answer to 4m+7=-3m+49
solong [7]
4m + 7 = -3m + 49
4m + 3m = 49 - 7
7m = 42
m = 42/7
m = 6

So, your final answer is 6

Hope this helps!
8 0
2 years ago
Find the rate of change of f(x, y, z) = xyz in the direction normal to the surface yx2 + xy2 + yz2 = 3 at (1, 1, 2).
Paladinen [302]

Answer:

Rate of change = 18/√74

Step-by-step explanation:

The rate of change of f at x_o in the direction of the unit vector v is given by: ∇f(x_o) × v

Now, for us to get the direction of the unit vector, since we are told that f(x, y, z) = xyz in the direction normal to the surface yx² + xy² + yz² = 3, we will use; g(x, y, z) = yx² + xy² + yz² = 3 and k =3 to give;

∇g(x,y,z) = (2xy + y², (x² + 2xy + z²), 2yz)

So;

∇g(1, 1, 2) = (2(1 × 1) + 1²) , (1² + 2(1 × 1) + 2²), 2(1 × 2))

This gives;

∇g(1, 1, 2) = (3, 7, 4)

Now,

||∇g(1, 1, 2)|| = √(3² + 7² + 4²)

||∇g(1, 1, 2)|| = √74

Normal vector would be given by the formula;

v = [∇g(1, 1, 2)]/[||∇g(1, 1, 2)||]

Thus;

v = (3, 7, 4)/√74

Let's not forget that our ∇f(1, 1, 2) = (1, 1, 2)

Thus, rate of change is given by;

∇f(1, 1, 2) × v = (1, 1, 2) × (3, 7, 4)/√74

This gives;

Rate of change = [(1 × 3) + (1 × 7) + (2 × 4)]/√74 = 18/√74

7 0
3 years ago
Factor 3x^2 + 2x -18x - 12
soldier1979 [14.2K]
3x^2+ 2x -18x -12
= (3x^2+ 2x) -(18x+ 12)
= x(3x+ 2) -6(3x+ 2)
= (3x+2)(x-6)

Final answer: (3x+2)(x-6)
5 0
3 years ago
Is this a function or no function? Y=x2
ioda
  In order to find out whether something is a function or not, you can choose to graph the equation or find out using other methods. If the equation passes the vertical line test, such that each x value has only one corresponding y value, then the equation is a function. In other words, something is a function only if each of its inputs has only one output. You can find out whether the equation is a function through substituting values into the equation or finding the table of the graph of the equation. The simplest method available if you have a graphing calculator is to just draw a straight line above any x-value. If there's only one point on the graph that has that x-value, then the equation you're talking about is a function. If not, then it's not a function.
8 0
3 years ago
Find the area and circumference of a circle with radius 2 cm use 3.14 for pie do not round answers
Vlad1618 [11]

Answer:

The area is 12.56, and the circumference is 12.56.

Step-by-step explanation:

For the area,

We need to use the formula A=3.14*radius*radius

So we plug it in, and we get 3.14*2*2, which is 12.56 centimeters squared.

For circumference, we need to do,

C = 3.14*diameter

To find the diameter we need to do 2 (radius) x 2 which is 4

Plugging it in that would be 3.14 * 4 which is 12.56

So, in this case, the area is 12.56, and the circumference is also 12.56.

3 0
2 years ago
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