Which expression is represented by the model?

Which Expression Is Represented By The Model?

Answers

Answer 1

Answer:

4x-3

Step-by-step explanation:

I have never worked with the program you are using, but if i were to assume,

there are four Xs (4x) and three minus signs, (-3)

so 4x-3 make the most sense to me.

i hope this helps!

:)

Answer 2

Answer:

4x-3

Step-by-step explanation:

Mr. Memio

Related Questions

Please help!
I am having trouble with this problem

Answers

Answer:

its 60 or 80 because its lower than one side

Step-by-step explanation:

I am pretty sure the answer would be 80 because angle D wold equal the exact same thing as angle B so C+A equals 100. And a triangle equals 180 so 180-100= angle B.

Rearrange the equation so u is the the independent variable. 4u+8w=-3u+2w

Answers

Answer:

(Please vote me Brainliest if this helped!)

[tex]u=\frac{-6}{7}w[/tex]  OR [tex]w=\frac{-7}{6} u[/tex]

Step-by-step explanation:

[tex]4u+8w=-3u+2w[/tex]

[tex]4u-(-3u)+8w=2w[/tex]

[tex]4u+3u=2w-8w[/tex]

[tex]7u=-6w[/tex]

[tex]u=\frac{-6}{7}w[/tex] OR [tex]w=\frac{-7}{6} u[/tex]

Independent variable is the variable you change.

Dependent variable is the variable you measure that results/depends on the independent variable.

Since u is the independent variable, you need to set the equation equal to w by isolating/getting the variable "w' by itself in the equation:

[This is because u is the variable you change, and w is the variable you measure that depends on the independent variable(u)]

4u + 8w = -3u + 2w       Subtract 2w on both sides to get "w" on one side of the equation

4u + 6w = -3u        Subtract 4u on both sides

6w = -7u     Divide 6 on both sides to get "w" by itself

[tex]w=\frac{-7u}{6}[/tex]

equation, an identity, or a contradiction.
7v+42=11(3v+8)−2(13v−1)

Answers

Answer:

48

Step-by-step explanation:

7x+42=11(3x+8)−2(13x−1)

Step 1: Simplify both sides of the equation.

7x+42=11(3x+8)−2(13x−1)

7x+42=(11)(3x)+(11)(8)+(−2)(13x)+(−2)(−1)(Distribute)

7x+42=33x+88+−26x+2

7x+42=(33x+−26x)+(88+2)(Combine Like Terms)

7x+42=7x+90

7x+42=7x+90

Step 2: Subtract 7x from both sides.

7x+42−7x=7x+90−7x

42=90

Step 3: Subtract 42 from both sides.

42−42=90−42

0=48

Answer: contradiction

Step-by-step explanation:

7v+42=11(3v+8)-2(13v-1)

Open the bracket

7v+42=33v+88-26v+2

7v+42=33v-26v+88+2

7v+42=7v+90

Collect like term

7v-7v=90-42

0=48

This shows that

7v+42=7v+90 contradict

Cocoa plant type 1 yielded 155 bushels per acre last year at a research farm. This year,
cocoa plant type 2, planted in the same location, yielded only 123 bushels per acre and
there was a major freeze. The researchers do not know whether the difference is the
result of the superiority of type 1 or the freeze. What is this an example of? (4 points)
- Bias
- Confounding variable
- Matched-pairs desighs
- The placebo effect
- Replication

Answers

The confounding variable, often described as a confounder or confusing factor, is a dimension in studies looking at a possible causation link, and further calculation can be defined as follows:

It has connected both to the study's apparent cause and its ostensible impact. It can be difficult to differentiate between both the genuine relationship between the independent variable and the effect of a contextual factor.It is an external factor that alters the impact of variables to utilized to sway the findings of an experiment.

Therefore, the final answer is "Confounding variable".

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Final answer:

The difference in yield between cocoa plant types due to potential freeze effects is an example of a confounding variable. Replication and control of confounding factors are necessary to ascertain true plant performance.

Explanation:

The situation described with cocoa plant types yielding different amounts of bushels per acre due to a potential major freeze is an example of a confounding variable. A confounding variable is an outside influence that changes the effect of a dependent and independent variable. This means that the difference in yield between the two types of cocoa plants may not solely be because of plant superiority but could also be significantly influenced by the freeze that occurred during the growing season of the second plant type.

To determine the true effect of the plant type on yield, researchers would need to conduct a study that controls for the confounding variable, in this case, the freeze. This could include replication of the experiment in various conditions or over multiple years to ensure that the results reflect the actual performance of the plant types rather than the effect of an abnormal weather event. Without this, it remains unclear whether the observed yield difference was indeed due to the inherent superiority of one cocoa plant type over the other.

Find the volume of the prism below?

Answers

Answer:

144 units^3

Step-by-step explanation:

The volume of a triangular prism is calculated like this : 1/2 ×b×h×l

1/2 × 12 × 8 × 3 = 144 units^3

Juan is paid a salary of $1400 biweekly. What are his yearly earnings?

Answers

Answer:

Assuming biweekly means once every two weeks, then Juan makes $36,400 per year.

Step-by-step explanation:

I'll assume biweekly means that he's paid once every two weeks.

There are 52 weeks in a year, meaning he's paid 26 times a year (52/2=26).

26 x $1,400 = $36,400

Juan is paid a salary of $1400 biweekly then his yearly earnings

⇒ $72,400

Salary paid by Juan = $1400 weekly

Then we have to calculate his annual salary .

Since we know that,

There are 52 weeks in a year.

Since Juan's 1 week salary = $1400

Then his 52 weeks salary is calculated by multiplying 52 with the weekly amount.

Therefore,

His 52 weeks earning = 52x1400

                                     = $72,400

Hence,

His annual earnings = $72,400

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I need help with this other 1 last question and that is it, I'll do the rest!

Answers

Answer:

DO IT ON UR OWN EARTHLING

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Here is an inequality: -2x > 10.

List some values for x that would make this inequality true.
AT least 2

Answers

Answer:

-6, -7, -8

Step-by-step explanation:

Let's isolate the x by dividing both sides by -2. However, we need to be careful because when we divide or multiply an inequality by any negative number, we MUST switch the inequality sign. So, after we divide by -2, we get:

x < -5

So, we can just list any values of x that are smaller than -5, and they'll work. For example, we can have: -6, -7, -8, -9, ...

nothing just that the person above me deserves brainly

Of the following, which option or options would help make this graph less misleading? I. The y-axis should be labeled. II. The scale on the y-axis should be resized. III. The scale on the x-axis should be resized. a. I only b. I and II c. II only d. I, II, and III
ANSWER IS A

Answers

Answer:

A. I only

The y-axis should be labeled

Step-by-step explanation:

Proper labelling of the axis would help graph less misleading. When plotting graph, both x and y axis must be properly scaled by representing each unit with a reasonable measurement e.g taking 2cm as 1unit, 5cm as 1unit etc.

Note that rescaling the axis will only make the graph look ambiguous and confusing, therefore we must desist from scale resizing.

A graph can be misleading is if the y axis is not labeled or the correct scale are not used for either of the y axis or x axis.

What is a graph?

A graph is a pictorial representation diagram composed of points which are connected so as to show the relationship between two or more variables.

A graph can be misleading is if the y axis is not labeled or the correct scale are not used for either of the y axis or x axis.

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URGENT!
Marcus has a bag that contains 5 identically shaped boxes. 3 of the boxes are blue and 2 are green. 2 of the blue boxes have a prize , and 1 of the green boxes has a prize 1 of the green boxes has a prize. Marcus randomly selects a box from the bag. Let A be the event that he selects a blue box and B be the event that the box contains a prize. Which of the following statements are true?

A. P(A|B) = P(A)
B. P(B|A) = P(B)
C. Events A and B are independent events
D. The outcomes of events A and B are dependent on each other.

Answers

Answer:

D. The outcomes of events A and B are dependent on each other

Step-by-step explanation:

Final answer:

The correct probabilities for the stated events are P(A|B) = 2/3, P(B|A) = 2/3, meaning both statements A and B are false. Since these probabilities are not equal to P(A) and P(B) respectively, this shows the events A and B are not independent, making statement C false and D true.

Explanation:

To solve the problem, we first need to define the events. Event A is that a box selected is blue, and Event B is that the selected box contains a prize. We're asked to verify certain probabilities related to these events.

First, let's find the total probability of each event. The probability of selecting a blue box (Event A) is 3/5 because there are 3 blue boxes out of 5 total. The probability of selecting a box with a prize (Event B) is 3/5, as 3 of the 5 boxes contain a prize.

The probability of A given B, P(A|B), is the probability that a selected box is blue, given that it contains a prize. We know there are 3 boxes with prizes, and of those, 2 are blue. So, P(A|B) = 2/3. This is not equal to P(A) = 3/5, so Statement A is false.

The probability of B given A, P(B|A), is the probability a selected box contains a prize, given that it is blue. We know there are 3 blue boxes and 2 of them have prizes. So, P(B|A) = 2/3. This is not equal to P(B) = 3/5, so statement B is false as well.

This means Events A and B influence each other and are, therefore, not independent. This makes Statement C false and Statement D true.

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4. Which of the following points on the number line best represents 5/8?
F. Point A
G. Point C
J. Point D
H. Point B

Answers

Answer:

point b

Step-by-step explanation:

I’m pretty sure it would be point d



Solve the system of linear equations using elimination.


−7x + 3y = −6

−3x + 3y = 6


A) (3, 5)

B) (3, −5)

C) (−3, 5)

D) (−3, −5)

Answers

Answer:

Option A) x = 3 and y = 5

Step-by-step explanation:

−7x + 3y = −6_____ first equation

−3x + 3y = 6_____ second equation

Since both equations have "y" that share the same coefficients (that is 3),we can solve this equation.

---First step is to subtract the equation 2 from 1

−7x + 3y = −6

−3x + 3y = 6

From the above equation, we have

-4x = -12

Divide both sides by -4

X = 3

--- Substitute x = 3 in equation 1

−7x + 3y = −6

-7(3) + 3y = -6

-21 + 3y = -6

3y = 21 - 6

3y = 15

Y = 5

X = 3 and y = 5( option a)

What operation is used to make a prediction using a probability

Answers

Answer:

Division

Step-by-step explanation:

Certain Outcomes/Total Outcomes = Probability

The operation used is division

The answer is division.

can i please know the answer. what is the volume?

Answers

Given:

Surface area = 4,362 yards

Length = 36 yard

Width = 21 yard

Height = c

To find:

Volume of the rectangular prism.

Solution:

Surface area formula:

[tex]SA = 2(lw+wh+lh)[/tex]

Substitute the given values.

[tex]4362 = 2(36\times21 +21 \times c+36 \times c)[/tex]

[tex]4362 = 2(756+21 c+36 c)[/tex]

[tex]4362 = 2(756+57c)[/tex]

[tex]4362 = 1512+114c[/tex]

Subtract 1512 from both sides.

[tex]4362- 1512 = 1512+114c - 1512[/tex]

[tex]2850=114c[/tex]

Divide by 114 on both sides, we get

25 = c

Height = 25

Volume = length × breadth × height

             = 36 × 21 × 25

             = 18900

Volume of rectangular prism is 18900 cubic yards.

Find the value of y.
Iog 2 32 =y
Ο
Ο
OC. 6
Ο
D.
7

Answers

Answer:

B 5

Step-by-step explanation:

log 2(32)

Replace 32 with 2^5

log2 (2^5)

We know that log a^b = bloga

5 log2(2)

We know that loga(a) =1

5*1

5

A right triangle has legs of length 4x and 20x. What is an expression for the hypotenuse of the right triangle

Answers

Answer:

[tex]4x\sqrt{26}[/tex].

Step-by-step explanation:

Given information:

[tex]Leg_1=4x[/tex]

[tex]Leg_2=20x[/tex]

According to the Pythagoras theorem,

[tex](hypotenuse)^2=(Leg_1)^2+(leg_2)^2[/tex]

Using Pythagoras theorem, we get

[tex](hypotenuse)^2=(4x)^2+(20x)^2[/tex]

[tex](hypotenuse)^2=16x^2+400x^2[/tex]

[tex](hypotenuse)^2=416x^2[/tex]

Taking square root on both sides.

[tex]hypotenuse=\sqrt{416x^2}[/tex]

[tex]hypotenuse=4x\sqrt{26}[/tex]

Hence, the expression of the hypotenuse is [tex]4x\sqrt{26}[/tex].

Final answer:

To determine the hypotenuse of a right triangle with legs measuring 4x and 20x, the Pythagorean theorem is applied, resulting in an expression for the hypotenuse as 20.4x.

Explanation:

To find an expression for the hypotenuse of a right triangle with legs of length 4x and 20x, we can apply the Pythagorean theorem, which is written as a² + b² = c², where a and b are the lengths of the legs, and c is the length of the hypotenuse. Solving for c, we get c = √(a² + b²). Plugging in the lengths of our legs, we have:

c = √((4x)² + (20x)²)

c = √(16x² + 400x²)

c = √(416x²)

c = 20.4x

This suggests that the expression for the hypotenuse of the right triangle is 20.4x.

Which equation represents the line
2x + y = 9 in slope-intercept form?

Answers

Answer:

y=-2x+9

Step-by-step explanation

you would subtract  2x on both sides resulting in y=-2x+9 and you have the answer. Your slope is is -2 and y-intercept is 9

A boat has two sails in the shape of right triangles, labeled A and B in the figure below.

A sailboat with sail A and sail B. Both sails are shaped like triangles.

The three sides of sail A are each half the length of the three sides of sail B. How do the areas of the two sails compare?
The area of sail A is One-half the area of sail B.
The area of sail A is One-fourth the area of sail B.
The area of sail A is One-sixth the area of sail B.
The area of sail A is One-eighth the area of sail B.

Answers

Answer:

The area of sail A is One-fourth the area of sail B.

Step-by-step explanation:

Answer:

i feel like it might be one half because it says that the sides of triangle A is half of the sides on triangle B and it asks what area do these have in common

Step-by-step explanation:

Find the area please

Answers

Answer:

E 551.625 ft^2

Step-by-step explanation:

We have a rectangle and a circle (2 1/2 circles)

The area of the rectangle is

A = l*w = 15*25 =375

The area of the circle

d =15 so r = d/2 = 7.5

A = pi * r^2

   = 3.14 (7.5)^2

   =176.625

Add the 2 together

375+176.625 =551.625 ft^2

Answer:

E is the correct answer

Step-by-step explanation:

176.71ft^2 for the two semicircles

375

Please help, lateral area. Math 10 b unit 4 lesson 3 quiz

Answers

Answer:

     I think 140

Step-by-step explanation:

A dog is tied with a rope to a stake in the ground the length of the rope is 5 yards what is the area in square yards in which the dog can roam

Answers

Answer:

≈ 78.54

Step-by-step explanation:

The formula to calculate the area of a circle is [tex]r^{2} *\pi[/tex]

in this case the radius is 5 so for [tex]r^{2}[/tex]

5 * 5 = 25

then we multiply that by [tex]\pi[/tex]

25 * [tex]\pi[/tex] ≈ 78.54

Final answer:

The area in square yards in which the dog can roam is approximately 78.54 square yards.

Explanation:

To find the area in square yards in which the dog can roam, we need to find the area of a circle with a radius equal to the length of the rope. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius. In this case, the radius is 5 yards. Using the formula, the area is A = π(5^2) = 25π square yards, or approximately 78.54 square yards.

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In the diagram line m is parallel to line n with a transversal line t.

Which other angle would be the alternate interior angle to BEF ?

Group of answer choices

DEB

EBC

ABE

CBH

Answers

Final answer:

The alternate interior angle to ∠BEF is ∠DEB, which is on the opposite side of the transversal line t and lies between the parallel lines m and n.

Explanation:

In the context of geometry and specifically the study of parallel lines and transversals, alternate interior angles are pairs of angles on opposite sides of the transversal but inside the two lines.

Since line m is parallel to line n with transversal line t, the alternate interior angle to ∠BEF should also be on the opposite side of the transversal and inside the parallel lines, but not adjacent to ∠BEF. Considering the choices presented and assuming the standard notation for angles in geometric figures, ∠DEB would be the alternate interior angle to ∠BEF since it is non-adjacent and lies between line m and line n on the opposite side of the transversal.

Please help. 2. How many units is the perimeter of square ABCD?

Answers

The perimeter of square ABCD is 8√13 units

How many units is the perimeter of square ABCD?

from the question, we have the following parameters that can be used in our computation:

The square

The side length (x) of the square is calculated as

x² = 4² + 6²

So, we have

x = 2√13

The perimeter is calculated as

P = 4 * 2√13

Evaluate

P = 8√13

Hence, the perimeter is 8√13

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425 / 3333 is it a rational number

Answers

do you mean it as a fraction or a division statement? cause yes any number is a rational number except pi i’m pretty sure

The answer is yes, 425 divided by 3333 is a rational number.

A rational number is defined as any number that can be expressed as the quotient or fraction p/q of two integers, where the numerator p is an integer, and the denominator q is a non-zero integer. In this case, 425 is an integer, and 3333 is a non-zero integer. Therefore, the fraction 425/3333 is indeed a rational number.

To demonstrate this, we can perform the division:

[tex]\[ \frac{425}{3333} \approx 0.1275 \][/tex]

This decimal representation is a repeating decimal, which is another characteristic of rational numbers. Rational numbers either terminate after a finite number of digits or begin to repeat the same finite sequence of digits over and over. The decimal expansion of 425/3333 is a repeating decimal; hence, it satisfies the definition of a rational number.

Points Q and R are midpoints of the sides of triangle ABC.
What is AQ?
4p QB
10 units
14 units
20 units
32 units

Answers

Answer:

Hey there!

Your answer is: 20 units

Hope this helps!

The length of AQ would be,

⇒ AQ = 20 units

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Points Q and R are midpoints of the sides of triangle ABC.

Hence, By definition of proportion we get;

QR / AQ = CB / AB

2p + 3 / 4p = 6p - 4 / 8p

2 (2p + 3) =  (6p - 4)

4p + 6 = 6p - 4

6 + 4 = 6p - 4p

10 = 2p

p = 5

Thus, The length of AQ would be,

⇒ AQ = 4p = 20 units

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|x−7 |=x−7
plz help show steps

Answers

Answer:

All numbers from 7 and up (x is greater than or equal to 7)

Step-by-step explanation:

|7-7| =7-7

0=0

|8-7|=8-7

1=1

BUT

|6-7| =/= 6-7

1 =/= -1

Answer:

Step-by-step explanation:

What is the range of the data below?
100
105
110
115
120
125
A 2 B 5 C 12 D 13​

Answers

Answer:

The answer is 25 but I don't see and answer choice for it.

Step-by-step explanation:

The Range is the difference between the lowest and highest values.

so,

125-100=25

11
Maria did the work to see if 8 is a solution to the equation s-3= 11.
S-3 = 11
8-3=11
HOTEL
FISHER
EL
5-11
SERIES
F
Does her work show that 8 a solution to the equation?
Yes, because the last line of the work is true.
Yes, because 11 minus 8 equals 3.
No, because 8 is even and the other numbers in the equation are odd.
No, because the last line of the work is not true. 5 and 11 are not equal.

Answers

No, because the lasts line of the work is not true. 5 and 11 are not equal.

where can you see the worlds biggest rock group math riddle

Answers

Final answer:

The answer to the math riddle 'Where can you see the world's biggest rock group?' is Mt. Rushmore. This riddle plays on the term 'rock group' to refer humorously to the monumental carvings of U.S. presidents on a mountain rather than a music band.

Explanation:

The student has posed a math riddle: Where can you see the world's biggest rock group? Although this may seem like a question related to geography or music at first, it is actually a play on words and is categorized as a math riddle.

The answer to this riddle is: Mt. Rushmore, because it features the faces of four U.S. presidents, which can be seen as a 'rock group'. It is the 'biggest' since these faces are carved into a mountain and are of a monumental scale. This represents a playful twist on the term 'rock group' as it does not refer to a music band, but rather a group of presidential faces carved into rock.

This riddle is a fun way to engage with wordplay and illustrates how mathematics and numbers are not always about straightforward calculations but can also involve lateral thinking and humor.

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What are the factors of x2 + 3x – 4?
O
(x + 4) and (x – 4)
(X + 3) and (x – 4)
(x + 4) and (x - 1)
(x + 3) and (x – 1)

Answers

Answer:

( x+4) ( x-1)

Step-by-step explanation:

x^2 + 3x – 4

What two numbers multiply to -4 and add to 3

4 * -1 = -4

4+-1 = 3

( x+4) ( x-1)

The factors of x^2 + 3x - 4 are (x + 4) and (x - 1). To find the factors, identify two numbers that multiply to -4 and add up to 3. The factored form of x^2 + 3x - 4 is (x + 4)(x - 1).

The factors of x2 + 3x - 4 are (x + 4) and (x - 1).

To find the factors, you need to look for two numbers that multiply to -4 and add up to 3 (the coefficient of the x-term).

Therefore, x2 + 3x - 4 = (x + 4)(x - 1).

Other Questions
The end product of the Constitutional Convention was a A. formal statement issued by the federal government B. written plan for government C. ratified agreement with England D. set of amendments to the Articles of Confederation In response to an increase in the number of immigrants in the early nineteenth century, 88 out of 132 in fraction form Which of the following types of conflict is an example of internal conflict?A. character versus selfB. character versus natureC. character versus characterD. character versus society The radius of a circle is 1 inch. What is its circumference? Please help me with #3. Consumers complained after EpiPen maker Mylan"hiked the price of the emergencyauto-injector by $100 in recent months for noobvious reason. ... The price hasincreased 450 percent since 2004, when a dosecost $100 in today's dollars, to itscurrent price of more than $600. ... Themedication itself isn't expensive. Analystscalculate that the dosage contained in a single penis worth about $1."Washington Post, August 23, 2016Private commentsAfter reading the scenario, respond to A, B, and Cbelow.(A) Describe a power Congress could use toaddress the comments outlined in the scenario.Type here to search there are 4/7 as many girls as there are boys. There are 66 students in the fifth grade. How many students are girls? What does the slogan Join, or Die suggest?Check all of the boxes that apply. A change in velocity means a change in? 8. When you see a stopped local bus (1 point)you must stop if you are facing it.you must stop if you are directly behind it.wait for its lights to stop flashing.be alert for pedestrians near the bus. what human activities prevent the artificial ecosystem of the city park from changing? What is the value of x? 6 8 10 12 The fireflies had arrived, just as my father said they would, and I watched them with my dry lips parted in wonder, my palms sliding expectantly on the lap of my dress. I felt like running and greeting them, but they joined me instead. Dozens of tiny blinks materialized, floating. "I'm Jeliza-Rose," I said, bouncing on my crossed legs. "Hello." Their flickers indicated understanding: The more I spoke, the more they blinkedor so I believed. In vain I reached out, attempting to snatch the nearest one, but when I unclenched my fist there was nothing to be seen. After several failed captures, I made myself content by simply naming the fireflies as they flashed. "You're Michael. You're Ann. Are you Michael again? No, wait, you're Barbie. And that's Chris. There's Michael." Then the fireflies were gone, having been whisked afield by the wind. I glanced in the direction of the old house, wondering if my father was in the living room, quiet and awaiting my return.adapted from Tideland by Mitch Cullin3How would the story be different if it were told from the third person point of view? A. The audience would see that the narrator is brave for playing with the bugs. B. The audience would see that the narrator is foolish for naming the bugs. C. The audience would know where the father is at the end of the story. D. The audience would know how scared the narrator is of the fireflies. find the rate of positive acceleration of an automobile which went from a complete stop to a velocity of 30 meters per second in 10 seconds Corri needs to get milk, eggs, bread, and cereal at the store. Since the bread is close to the cereal, Corri always picks up the cereal right after getting bread. List all of the different combinations of ways she can pick up the items she needs. Use the first letter of each item in your list (M, E, B, C) Compared to people with schizophrenia in developed countries, people with schizophrenia in developing countries:A. tend to have families that are more intrusive, hostile, and overinvolvedB. are more likely to have a sole caretakerC may have social environments that facilitate better adaptation and recoveryD. are more likely to remain incapacitated by the disorder in the long term. A feature of Donatellos David that reflects Italian Renaissance interest in reviving the classical Greco-Roman sculptural tradition is the figures *1 pointA) imperial gestureB) contrapposto stanceC) stylized formD) monumental size Milo Co. had 600,000 shares of common stock outstanding on January 1. On May 1, Milo issued 126,000 shares. On September 1, Milo purchased 63,000 shares of treasury stock. The weighted average shares outstanding for the year is:________.a. 751,000.b. 663,000.c. 793,000.d. 814,000. Skin prevents your body from losing water and helps it maintain its proper temperature. It also secretes the hormone calcidiol The skin belongs to the systems?