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dusya [7]
4 years ago
9

Are there any prime numbers that have a difference of 3

Mathematics
2 answers:
NNADVOKAT [17]4 years ago
5 0

Answer:yes

Step-by-step explanation:

5 is a prime number

2 is a prime number

The difference between 5 and 2 is 3

5-2=3

Schach [20]4 years ago
3 0

Answer:

Step-by-step explanation:

Yes 2 and 5 are both prime numbers and have a difference of 3

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Step-by-step explanation:

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3 years ago
Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°.
umka2103 [35]
A polar coordinate is that which can be written as (r, θ) where r is the radius and θ is the angle. 

The radius, r, is also the hypotenuse of the right triangle that can be formed. Hence, it can be calculated through the equation,
    
                   r² = x² + y²
If we are to simplify this for the r alone, we have,
                     r = sqrt (x² + y²)

Substituting the known values,
               r = sqrt ((4)² + (-4)²) = 4√2

The x and y can be related through the trigonometric function, tangent. 
      tan θ = y/x
To solve for θ
   θ = tan⁻¹(y/x) = tan⁻¹(-4/4) = -45° = 315°

Hence, the polar coordinate is <em>(4√2, 315°)</em>
5 0
3 years ago
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Brilliant_brown [7]

Answer:12x^3y^5

Step-by-step explanation:

5 0
3 years ago
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tatiyna

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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the area of a square whose sides have length x cm is increasing at the rate of 12cm²/s. how fast is the length of a side increas
katovenus [111]

Answer:

0.67 cm/s

Step-by-step explanation:

The area of a square is given by :

A=x^2 ....(1)

Where

x is the side of a square

\dfrac{dA}{dt}=12\ cm^2/s

Differentiating equation (1) wrt t.

\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}

When A = 81cm²​, the side of the square, x = 9 cm

Put all the values,

12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s

So, the length of the side of a square is changing at the rate of 0.67 cm/s.

4 0
3 years ago
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