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Charra [1.4K]
3 years ago
11

What is the average speed of a commercial

Mathematics
2 answers:
Aleks [24]3 years ago
8 0
4800/6 = 800kmh ........
quester [9]3 years ago
4 0

Answer:

800 km per hour.

Step-by-step explanation:

4800km/6h = 800kmph

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A circle with a diameter of 2 inches and a square with 2-inch sides have the same center. Find the area of the region that is in
n200080 [17]
Area of square = 4 square inches
Area of circle = PI * radius ^2
Area of circle = 3.14 * 1^2
Area of circle = 3.14 square inches
Area inside the square and outside the circle =
4 -3.14 = .86 square inches.
answer is .9 square inches


5 0
3 years ago
Find the critical points of the surface f(x, y) = x3 - 6xy + y3 and determine their nature.​
Vedmedyk [2.9K]

Compute the gradient of f.

\nabla f(x,y) = \left\langle 3x^2 - 6y, -6x + 3y^2\right\rangle

Set this equal to the zero vector and solve for the critical points.

3x^2-6y = 0 \implies x^2 = 2y

-6x+3y^2=0 \implies y^2 = 2x \implies y = \pm\sqrt{2x}

\implies x^2 = \pm2\sqrt{2x}

\implies x^4 = 8x

\implies x^4 - 8x = 0

\implies x (x-2) (x^2 + 2x + 4) = 0

\implies x = 0 \text{ or } x-2 = 0 \text{ or } x^2 + 2x + 4 = 0

\implies x = 0 \text{ or } x = 2 \text{ or } (x+1)^2 + 3 = 0

The last case has no real solution, so we can ignore it.

Now,

x=0 \implies 0^2 = 2y \implies y=0

x=2 \implies 2^2 = 2y \implies y=2

so we have two critical points (0, 0) and (2, 2).

Compute the Hessian matrix (i.e. Jacobian of the gradient).

H(x,y) = \begin{bmatrix} 6x & -6 \\ -6 & 6y \end{bmatrix}

Check the sign of the determinant of the Hessian at each of the critical points.

\det H(0,0) = \begin{vmatrix} 0 & -6 \\ -6 & 0 \end{vmatrix} = -36 < 0

which indicates a saddle point at (0, 0);

\det H(2,2) = \begin{vmatrix} 12 & -6 \\ -6 & 12 \end{vmatrix} = 108 > 0

We also have f_{xx}(2,2) = 12 > 0, which together indicate a local minimum at (2, 2).

3 0
2 years ago
What happens to the value of the expression 150-j150−j150, minus, j as jjj decreases?
nikklg [1K]

Answer:

The value of the expression increases as j decreases

Step-by-step explanation:

Let f(j) = 150 - j150 - j150

f(j) = 150 - j300

As j decreases, the value of j300 decreases (i.e the farther j300 is from 150). Due to the wider gap between 150 and j300, the value of f(j) increases.

For example:

When j = 1, f(j) = 150 - (300*1) = -150

When j = 0.5, f(j) = 150 - (300*0.5) = 0

When j = 0. f(j) = 150 - (300*0) = 150

It is obvious from the analogy above that the expression 150-j150−j150 increases as j decreases

4 0
4 years ago
What is the volume of this sphere?
gogolik [260]

Answer:

The answer is A.

Step-by-step explanation:

V=4/ 3πr3=4/ 3·π·18.33≈25670.94632

Hope this helped!!!

5 0
3 years ago
Read 2 more answers
Which of the following rational functions is graphed below?
vitfil [10]

Answer:

where is the

pls provide

5 0
3 years ago
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