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Molodets [167]
4 years ago
7

Show the conjecture is false by the counterexample any number is divisible by 2 is divisible by 4

Mathematics
1 answer:
vlada-n [284]4 years ago
3 0
I answered this earlier, 2 + 4 = 6.
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I am so confused help me plz !!
Kryger [21]

Answer:

1. -5.5   2. 5   3.  5, 5.5

Step-by-step explanation:

For #1 just look at what point it would be towards the y- axis.

For #2 you want to kinda estimate what it would be between.

And lastly #3 they want to see the exact coordinates for Q so, look at the x axis first they the y axis. Remember Run then Jump

4 0
3 years ago
Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere.
Anestetic [448]

Answer:

Step-by-step explanation:

Let the rectangle have (x,y,z) as vertex in positive octant.  The rectangular box has to be necessarily symmetrical about all the three axes.

Then the sides of the box would be

2x,2y,2z

Volume = 8xyz

Maximize volume subject to

x^2+y^2+z^2 =1

i.e. g(x,y,z) = x^2+y^2+z^2 -1=0

Use Lagrangian multipliers , we have

∇f(x,y,z)=λ∇g(x,y,z)at the maximum

∇f(x,y,z)=λ∇g(x,y,z) =(8yz,8xz,8xy)\\∇g(x,y,z)=(2x,2y,2z)

8yz=2λx8xz=2λy8xy=2λz

Dividing we get

\frac{y}{x} =\frac{x}{y} \\x^2=y^2

Similarly y^2=z^2

Thus we get 3x^2 =1\\x = \frac{1}{\sqrt{3} }

Hence dimensions are

(2x,2y,2z)

So dimensions are

\frac{2}{\sqrt{3} } ,\frac{2}{\sqrt{3} } ,\frac{2}{\sqrt{3} } )

3 0
3 years ago
Which plane is closer to the base of the airport tower? Explain.
Annette [7]

Answer:

Plane B is closer.

Step-by-step explanation:

Plane B is closer.

The distance for Plane A is 7.9 km.

The distance for Plane B is 7.4 km.

Step-by-step explanation:

To find the distance to the tower, altitude must be converted to kilometers. Each 1000 ft is 0.3048 km, so the heights of the planes are ...

-- Plane A: (20 thousand ft)*(0.3048 km/thousand ft) = 6.096 km

-- Plane B: (8 thousand ft)*(0.3048 km/thousand ft) = 2.4384 km

The Pythagorean theorem can be used to find the distance from each plane to the tower:

-- distance = √((ground distance)² + (height)²)

-- Plane A distance = √(5² +6.096²) ≈ √62.16 ≈ 7.9 . . . km

-- Plane B distance = √(7² +2.4384²) ≈ √54.95 ≈ 7.4 . . . km

The distance for Plane B is shorter, so Plane B is closer to the tower.

7 0
3 years ago
Read 2 more answers
HELP ME PLEASE I DONT UNDERSTAND!!!!!
rewona [7]

Answer: 5 pounds

Step-by-step explanation: 90 - 47.65 ÷ 8.47 = 5

8 0
3 years ago
Ayuda plisssssssssssssssssssssssss
mina [271]
Answer (Respuesta): B

3^2 (9) + 1 = 10 y 2^2 (4) + 1 = 5 por eso 10 - 5 = 5
8 0
3 years ago
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