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sweet-ann [11.9K]
2 years ago
7

Set G is the set of positive integers divisible by 4 in set if is the set of perfect squares list the first five elements of set

age which contains numbers and G that are also elements of f
Mathematics
1 answer:
il63 [147K]2 years ago
5 0
The set G is:

G={4, 8, 12, 16, 20, 24, 28, 32, 36, ...}



The set F is the set of perfect squares:

F={1, 4, 9, 16, 25, 36, 49, 64, 81, 100 ...}



in set F,  4, 16, 36, 64 and 100 are multiples of 4.



Answer: {4, 16, 36, 64, 100}


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A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are
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Answer: The number of different combinations of 2 vegetables are possible = 15 .

Step-by-step explanation:

In Mathematics , the number of combinations of selecting r values out of n values = ^nC_r=\dfrac{n!}{r!(n-r)!}

Given : Number of available vegetables = 6

Then, the number of different combinations of 2 vegetables are possible will be :

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Hence , the number of different combinations of 2 vegetables are possible = 15 .

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2 years ago
State the size of angle OAB, giving a reason for your answer
Alja [10]

Answer:

Angle OAB = 90°

Reason: tangent theorem of a circle

Step-by-step explanation:

The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.

The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.

Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.

Therefore, angle OAB = 90°

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An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 40
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Answer:

0.14 s

Step-by-step explanation:

s = -2.7 t² + 40t + 6.5

Let s = 12

12 = -2.7t² + 40t + 6.5     Subtract 12 from each side

-2.7t² + 40t + 6.5 - 12 = 0

      -2.7t² + 40t - 5.5 = 0

Apply the <em>quadratic formula </em>

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

a = -2.7; b = 40; c = -5.5

x = \frac{-40\pm\sqrt{40^2 - 4\times (-2.7) \times (-5.5)}} {2(-2.7)}

x = \frac{-40\pm\sqrt{1600-59.4}}{-5.4}

x = \frac{-40\pm\sqrt{1540.6}}{-5.4}

x = \frac{-40\pm 39.25}{-5.4}

x = 7.41 ± 7.27

x₁ = 0.14; x₂ = 14.68

The graph below shows the roots at x₁ = 0.134 and x₂ = 14.68.

The Moon’s surface is at -12 ft. The ball will be 12 ft above the Moon’s surface (crossing the x-axis) in 0.14 s.

The second root gives the time the ball will be 12 ft above the Moon’s surface on its way back down.

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Which set of coordinates, when paired with (-3, -2) and (-5, -2), result in a square?
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The answers are (-3, -4) and (-5, -4).
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