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3 years ago

Enter the values to complete the input/output table for the function.

Mathematics

1 answer:

Artist 52 [7]3 years ago

3 0

Given function : 3x−6y=12.

We are given x : −2 0 4.

We need to find the values of y's for x=-2, x=0 and x=4.

Plugging x=-2 in the given equation, we get

3(-2)−6y=12

-6 - 6y = 12.

Adding 6 on both sides, we get

-6+6 - 6y = 12+6

-6y = 18.

Dividing by -6 on both sides, we get

y= -3.

On the same way, plugging x=0.

3(0)−6y=12

-6y =12.

y=-2.

Plugging x=4,

3(4)−6y=12

12 -6y = 12.

Subtracting 12 on both sides.

12-12 -6y = 12-12

-6y=0

y=0.

Therefore,

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Calculate the area of the quarter circle estimate using 3.14 for pi

mars1129 [50]

The area of the quarter circle with radius 3ft is $7.065 ft^2$

Area of a quarter circle is given by the formula:

$Area = \frac{\pi r^2}{4}$

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π = 3.14

Substitute π = 3.14 and r = 3 into the formula $Area = \frac{\pi r^2}{4}$

$Area = \frac{3.14 \times 3^2}{4}\\\\Area = \frac{3.14 \times 9}{4}\\\\Area = \frac{28.26}{4}\\\\Area = 7.065 ft^2$

The area of the quarter circle with radius 3ft is $7.065 ft^2$

Learn more here: brainly.com/question/25843249

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2 years ago

Suppose the discrete random variable X has the probability distribution below:

Talja [164]

(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82

(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89

(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07

σ = √(σ²) ≈ 1.03

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3 years ago

————PLEASE HELP————-

GuDViN [60]

Answer:

The diameter of Circle P is the same length as the radius of Circle Q.

Step-by-step explanation:

The radius of Circle Q is half of 52cm. So you would divide 52 by 2 and get 26cm as the radius of Circle Q. Therefore, the length of the diameter of Circle P is the same length as the radius of Circle Q.

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3 years ago

Evaluate 2 sin 60° + tan 45° + cos²60°

DerKrebs [107]

Answer:

1.25+√3 or 2.9821 to the nearest ten thousandth.

Step-by-step explanation:

sin 60 = √3/2, tan 45 = 1 and cos^2 60 = (1/2)^2 = 1/4

So we get 2 *√3/2 + 1 + 1/4

= √3 + 1.25

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3 years ago

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Shadow Software company earned a total of 800,009 selling programs during the year 2012. 125,300 of taht amount was used to pay

Softa [21]

Subtract 125,300 from 800,009. From there you find that they made 674,709 in profit. Answer is 674,709

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3 years ago