Florida Pick 3 In The Florida Pick 3 Lottery, You Can Place A Straight Bet Of $1 By Selecting The Exact (2024)

Answer: 6y + 6

Step-by-step explanation:

To simplify the expression 8(3/4y -2) + 6(-1/2+4) + 1, we can follow the order of operations (PEMDAS):

First, we simplify the expression within parentheses, working from the inside out:

6(-1/2+4) = 6(7/2) = 21

Next, we distribute the coefficient of 8 to the terms within the first set of parentheses:

8(3/4y -2) = 6y - 16

Finally, we combine the simplified terms:

8(3/4y -2) + 6(-1/2+4) + 1 = 6y - 16 + 21 + 1 = 6y + 6

Therefore, the expression 8(3/4y -2) + 6(-1/2+4) + 1 is equivalent to 6y + 6.

The differentiation of the variable y is equal to [tex]\frac{1}{2} ( \frac{y^{2}-4x^{3}-4xy^{2} }{2x^{2} y+2y^{3}-xy } )[/tex] for the differential equation.

Given equation: [tex](x^{2} +y^{2} )^{2} = 2xy^{2}[/tex]

differentiate with respect to x

2 [tex](x^{2} + y^{2})[/tex] [ [tex]2x+2y.\frac{dy}{dx}[/tex] ] =[ (1).[tex]y^{2}[/tex] + [tex]x (2y) + \frac{dy}{dx}[/tex] ]

4 [tex](x^{2} + y^{2})[/tex] [ [tex]x+y \frac{dy}{dx}[/tex] ] = [tex]y^{2}[/tex] + [tex]2xy \frac{dy}{dx}[/tex]

4( [tex]x^{3} + x^{2} y \frac{dy}{dx} + xy^{2} + y^{3} \frac{dy}{dx}[/tex] ) = [tex]y^{2}[/tex] + [tex]2xy \frac{dy}{dx}[/tex]

[tex]4x^{3} +4 x^{2} y \frac{dy}{dx} +4 xy^{2} +4 y^{3} \frac{dy}{dx}[/tex] = [tex]y^{2}[/tex] + [tex]2xy \frac{dy}{dx}[/tex]

[tex]4x^{2}y \frac{dy}{dx}[/tex] + [tex]4y^{3}[/tex] [tex]\frac{dy}{dx}[/tex] - [tex]2xy\frac{dy}{dx}[/tex] = [tex]y^{2} - 4x^{3} - 4xy^{2}[/tex]

[tex](4x^{2}y + 4y^{3} - 2xy )[/tex] [tex]\frac{dy}{dx}[/tex] = [tex]y^{2} - 4x^{3} - 4xy^{2}[/tex]

[tex]\frac{dy}{dx}[/tex] = [tex]y^{2} - 4x^{3} - 4xy^{2}[/tex] / [tex](4x^{2}y + 4y^{3} - 2xy )[/tex]

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{2} ( \frac{y^{2}-4x^{3}-4xy^{2} }{2x^{2} y+2y^{3}-xy } )[/tex]

Hence solved. The differentiation for the given differential equation is done using the technique of implicit differentiation. The differentiation of the variable y is equal to [tex]\frac{1}{2} ( \frac{y^{2}-4x^{3}-4xy^{2} }{2x^{2} y+2y^{3}-xy } )[/tex] for the differential equation.

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Answer: 6

Step-by-step explanation: We are told that the large cistern is completely filled shown with the larger volume. To find volume, the formula is lxwxh and if you apply that to the model, the larger cistern has a volume of 24 ft cubed which means 24 is completely filled. If we calculate the volume of the smaller cistern, it is 6. The question asks us how many cubic feet will be left when the larger cistern pours enough water to completely fill up the smaller cistern (24). So we do subtraction, 24-6= 18 meaning 18 is the number that is going to get poured from the big to the small cistern to make it 24 or, completely filled. And when we subtract the 18 from 24 (because we poured 18 from the large one to the small one to make it full), we get 6. 6 is how much is left after the larger cistern poured 18 to fill up the smaller cistern.

Answer:

For the first 40 hours that Mr. Ed works, he earns his regular rate of pay, which is $15.50 per hour. So, his regular pay for the week is:

40 hours x $15.50 per hour = $620

For the additional 5 hours he works, he earns overtime pay at a rate of time-and-a-half, which is 1.5 times his regular pay rate. So, his overtime pay for the week is:

5 hours x $15.50 per hour x 1.5 = $116.25

Therefore, Mr. Ed's total pay for the week in which he works 45 hours is:

$620 (regular pay) + $116.25 (overtime pay) = $736.25.

The baby born in week 40 weighs relatively less since its z-score -0.26, is smaller than the z-score of -0.16 for the baby born in week 32.

How to solve

To find the z-score, we use the formula:

z = (x - μ) / σ

where x is the individual value, μ is the mean, and σ is the standard deviation.

For the 32-week gestation period baby (weight = 2575 grams):

μ = 2700 grams (mean weight)σ = 800 grams (standard deviation)z = (2575 - 2700) / 800 = -125 / 800 = -0.15625

For the 40-week gestation period baby (weight = 3075 grams):

μ = 3200 grams (mean weight)σ = 480 grams (standard deviation)z = (3075 - 3200) / 480 = -125 / 480 = -0.26042

Now, we round the z-scores to two decimal places:

z-score for the 32-week baby: -0.16z-score for the 40-week baby: -0.26

Since the z-score for the 40-week baby (-0.26) is smaller than the z-score for the 32-week baby (-0.16), the correct answer is:

C. The baby born in week 40 weighs relatively less since its z-score -0.26, is smaller than the z-score of -0.16 for the baby born in week 32.

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Answer:

Option (C)

-0.46 brother

Answer:

Option (C)

-0.46

Step-by-step explanation:

To find the length of a line segment in a circle, use the formula [tex]d = 2r[/tex] [tex]sin(t/2)[/tex] , where r is the radius of the circle and t is the angle between the radii. The length of segment DE is [tex]5[/tex] units.

What is the formula for circle segment length?

We can use the similar triangles property to find the missing length of segment DE in the given figure. Because triangles ABD and CBE are similar, we can use a proportion to find the length of DE:

[tex]CB/BE = AB/BD[/tex]

With the given values, we get:

[tex]3/6 = 5/(5 + DE)[/tex]

When we simplify and solve for DE, we get:

[tex]3(5 + DE) = 6 * 5 \s15 + 3DE = 30[/tex]

[tex]3DE = 15 \sDE = 5[/tex]

Therefore, segment DE has a length of 5 units.

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Using a trigonometric relation, we can see that the values of x and y are:

y = 25.98

x = 15

How to get the values of x and y?

Here we can see a right triangle, where we know the interior angles and the length of the hypotenuse.

To get the lengths of the legs, we can use trigonometric relations, like:

cos(a) =(adjacent cathetus)/hypotenuse.

For example, if we want to find y, then the angle at which this side is adjacent is the 30° one, now replacing the known values in the formula we will get:

cos(30°) = y/30

cos(30°)*30 = y = 25.98

And to get the value of x, we should use the 60°angle, so:

cos(60°) = x/30

30*cos(60°) = x = 15

These are the two lengths we wanted to get.

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