1. Over a 4-month period, among 30 people with bipolar disorder, patients who were given
a high dose (10g/day) of omega-3 fats from fish oil improved more than those given a
placebo. (Archives of General Psychiatry 56 (1999): 407)

9514 1404 393

Answer:

  [tex]f(x)=\left\{\begin{array}{rl}-x-1,&\text{for $-6\le x<2$}}\\-\dfrac{1}{2}x-4,&\text{for $2<x<6$}\end{array}\right.[/tex]

Step-by-step explanation:

The upper piece of the graph is defined on the interval -6 ≤ x < 2. It has a slope of -1 and a y-intercept of -1, so its equation is y = -x-1.

The lower piece of the graph is defined on the interval 2 < x < 6. It has a slope of -1/2 and would cross the y-axis at -4 if it were extended. Its equation is ...

  y = -1/2x -4

The two pieces together give the function ...

  [tex]f(x)=\left\{\begin{array}{rl}-x-1,&\text{for $-6\le x<2$}}\\-\dfrac{1}{2}x-4,&\text{for $2<x<6$}\end{array}\right.[/tex]

Answer:

A is correct

Step-by-step explanation:

Here, we want to write an inequality

If the water level drops by 14 feet

what this mean is that we are subtracting 14 from the original level L

Thus, we have

L-14

Higher than 20 means that we have;

L-14 > 20

L > 20 + 14

L > 34

Answer:

3 1/2 puzzles

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The GCF is also known as the greatest common factor. Every number can be written as the product of at least 2 numbers, and almost every number has at least one factor that is a prime number (or a number that is only divisible by 1 and itself).

Let's find the prime factorization of 18 and 72; in other words, let's find what prime numbers make these numbers up.

18 = 2 * 9 = 2 * 3 * 3  ⇒  notice that while 9 isn't a prime number, 2 and 3 are

72 = 2 * 36 = 2 * 2 * 18 = 2 * 2 * 2 * 3 * 3  ⇒  again, 2 and 3 are primes

In finding the GCF, we want to find the largest value of the prime numbers that the two numbers share.

Here, we see that both 18 and 72 have at least one factor of 2 and at least two factors of 3. So, that's the greatest common factor: 2 * 3 * 3 = 18.

Answer:

[tex]A.\ ~~x=16,~ y=9\sqrt{2}[/tex]

Step-by-step explanation:

We have completed the diagram with some lengths that come directly from the figure's symmetry.

Note the triangle formed at the left side of the trapezium is isosceles because it has an angle of 90° and another angle of 45°.

This means the base of the triangle has the same length as the height of 9.

This means the total base of the trapezium is x = 9 + 7 = 16

The right triangle must satisfy Pythagora's Theorem:

[tex]y^2=9^2+9^2[/tex]

[tex]y^2=2*9^2[/tex]

[tex]y=\sqrt{2*9^2}[/tex]

Simplifying the radical:

[tex]y=9\sqrt{2}[/tex]

The correct answer is: [tex]\mathbf{A.\ ~~x=16,~ y=9\sqrt{2}}[/tex]

Answer:

The answer to this question is A. 8(3/5*1/4).

Answer:

b

Step-by-step explanation

i think

Answer:

x²y (10x²y + 4x - 3y)

Step-by-step explanation:

Factorise xy out first.

10[tex]x^{4}[/tex]y² + 4x³y - 3x²y² = xy (10x³y + 4x² - 3xy)

Then factorise another x out.  

xy (10x³y + 4x² - 3xy) = x²y (10x²y + 4x - 3y)

Answer:

I can find all the x-values in the domain of the function f(x)=4:

Domain = (−∞, ∞), {x | x∈R}

Here’s the range if you need it:

Range: {4}

Hope this helps! :)

The answer is Range: {4} or,  x is a member of the real numbers and that it can be anything from negative infinity to positive infinity.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

Here, we have,

f (x) =4

now,

we can find all the x-values in the domain of the function f(x)=4:

Domain = (−∞, ∞), {x | x∈R}

Here’s the range if you need it:

Range: {4}

There are x’s in the equation.

It’s actually all numbers are x’s because anything you put into the function f(x)=4, y will always equal 4.

So the value of x in f(x)=4 is all numbers.

To be more specific, all real numbers.

That’s why I put (−∞, ∞), {x | x∈R} because x is a member of the real numbers and that it can be anything from negative infinity to positive infinity.

To learn more on number click:

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Answer:

840

Step-by-step explanation:

2% of 700 is 14. Multiply 14 by 10 years, and then add that result (140) to the original amount

Answer:

Question 1:

The angles are presented here using Autocad desktop application

The two column proof is given as follows;

Statement                   [tex]{}[/tex]                             Reason

S1. Line m is parallel to line n       [tex]{}[/tex]            R1. Given

S2. ∠1 ≅ ∠2                   [tex]{}[/tex]                            R2. Vertically opposite angles

S3. m∠1 ≅ m∠2                    [tex]{}[/tex]                     R3. Definition of congruency

S4. ∠2 and ∠3 form a linear pear      [tex]{}[/tex]      R4. Definition of a linear pair

S5. ∠2 is supplementary to ∠3 [tex]{}[/tex]      R5. Linear pair angles are supplementary

S6. m∠2 + m∠3 = 180°              [tex]{}[/tex]                Definition of supplementary angles

S7. m∠1 + m∠3 = 180°              [tex]{}[/tex]                 Substitution Property of Equality  

S8. ∠1 is supplementary to ∠3           [tex]{}[/tex]      Definition of supplementary angles

Question 2:

(a) The property of a square that is also a property of a rectangle is that all the interior angles of both a square and a rectangle equal

(b) The property of a square that is not necessarily a property of all rectangles is that the sides of a square are all equal, while only the length of the opposite sides of a rectangle are equal

(c) The property of a rhombi that is also a property of a square is that all the sides of a rhombi are equal

(d) A property of a rhombi that is not necessarily a property of all parallelogram is that the diagonals of a rhombi are perpendicular

(e) A property that applies to all parallelogram is that the opposite sides of all parallelogram are equal

Step-by-step explanation:

Answer:

6 is ur answer hope it help u

lol :)

☃️✌

Merry christmas~

The rate of change from 2015 to 2017 is -$250 per year.

Given that,

According to the scenario, computation of the given data are as follows,

Total change = $300 - $800

= -$500

Total years from 2015 to 2017 = 2 years

So rate of change = -$500 [tex]\div[/tex] 2

= - $250

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Answer:

3rd option

Step-by-step explanation:

The input(x) does not repeat

Answer:

1:101

2:15

3:11

4:56

Source:trust me bro

Answer:

yes

Step-by-step explanation:

because they are all faced up and not touching each other

Answer:

Pretty sure it's 2

Step-by-step explanation:

Answer:

x = -4037/127

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

14x + 18 + x = -112(x + 36) + 13

Step 2: Solve for x

Answer:

The correct answer is a.) x=-6

Step-by-step explanation:

Answer: 14/6

Step-by-step explanation:

A line passes through point A(14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

Answer:

2/3 card per hour

Step-by-step explanation:

The correct calculation is given below

The number of cards she can make per hour is :

12 hours = 8 cards

1 hour = x cards

Cross Multiply

12 hours × x cards = 8 cards × 1 hour

x cards = 8 cards × 1 hour/12 hours

x cards = 2/3 card

She can make 2/3 card per hour

Answer:

a

not C B D   A

Step-by-step explanation:

Answer:

9 total cups. 3 cups of sugar. 3 cups of flour, 3 cups of milk

Step-by-step explanation:

Answer:

it s A

Step-by-step explanation:

if the two to the power of ten is on the outside, you will always need to add that to the other powers of ten

Brianliest plz thanks

Answer:

Y=(1/2)x + 3

Step-by-step explanation:

The equation of the line is y = (1/2)x + 3.

We have,

The equation of a line is written as:

y = mx + c

Where m is the slope and c is the y-intercept.

Now,

From the line,

We have the following coordinates:

(2, 4) and (4, 5)

Now,

Slope.

m = (5 - 4) / (4 - 2) = 1/2

And,

(2, 4) = (x, y)

Substituting.

y = mx + c

4 = (1/2) x 2 + c

4 = 1 + c

c = 4 - 1

c = 3

Now,

y = (1/2)x + 3

Thus,

The equation of the line is y = (1/2)x + 3.

Learn more about equation of a line here:

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Answer:

b

Step-by-step explanation:

I had this exactl question a while ago

Answer:

$964.85

Step-by-step explanation:

$839 x 1.15 = $964.85

The answer is 964.85. 964.85 would be the new total cost.

Step-by-step explanation:

Let's see

Firstly produce the line to Q such that it passes through and dives Q into two.

The interior angle of the Pentagon at the point Q=sum of its interior angle/5

The angle=540°/5=108°

That would make the exterior angle there=180°-108°=72°

Again,find the interior angle of the heptagon at the point Q=(sum of its interior angles)/7

Angle=900°/7=128.57°≈129°

That would make the exterior angle there=180°-129°=51°

Since Q was divided into the two exterior angles,we sum them up to obtain the angle value of Q

That is 51°+72°=123°