What is 875 times 305

What Is 875 Times 305

Answers

Answer 1

Answer: 266,875

Step-by-step explanation:

Just multiply 875 and 305 together

Answer 2

Answer:

The answer is 266,875

Step-by-step explanation:

You can get the answer by using a calculator or working it out by hand.


Related Questions

This pair of figures is similar. Find the missing side.​

Answers

Answer:

x=2

Step-by-step explanation:

so if the bigger one is 16 and the other one is 4 that means you need to multiply 4 by 4 to get 16 so to find x you need to divide the 8 by 4 to find your answer

Answer:

x = 2

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{8}[/tex] = [tex]\frac{4}{16}[/tex] ( cross- multiply )

16x = 32 ( divide both sides by 16 )

x = 2

How many solutions does this system of equations have?


exactly one

exactly two

infinitely many

none

Answers

Answer:

exactly one

Step-by-step explanation:

1. subtract 2x from the equation 2x + y = 1

2. now you should have y= -2x + 1

3. then on the second equation subtract 4x from 4x + 2y = 2

4. now you should have 2y = -4x + 2

5. divide everything by 2

6. now you should have y = -2x + 1

7. since you got an exact answer on both of them then it is exactly one

My answer would be exactly one

Determine whether the following statements are true or false. If false, explain why.

1) Point (3,2) to (3,-2) is a reflection over the y-axis.


2) A(1,3) to A'(-1,3) is a reflection over the y-axis


Answers

Answer:

see the explanation

Step-by-step explanation:

we know that

The rule of the reflection of a point across the y-axis is equal to

(x,y) -----> (-x,y)

The rule of the reflection of a point across the x-axis is equal to

(x,y) -----> (x,-y)

so

Verify each statement

1) Point (3,2) to (3,-2) is a reflection over the y-axis.

The statement is false

Because, is a reflection over the x-axis

A reflection over the y-axis will be

(3,2) -----> (-3,2)

2) A(1,3) to A'(-1,3) is a reflection over the y-axis

The statement is true

What is the y-intercept of y = 5?

Answers

Answer:

Y- intercept is 5!

2.c is anyone good with exponential and logarithmic?

Answers

Answer:

After 48 months the value will increase by 10 percent of the initial value.

Step-by-step explanation:

Let's first find the rate of increase for each period which is 3 months here.

According to the table at month [tex]x=0[/tex] value is [tex]2000[/tex]dollars and at month [tex]x=3[/tex] value is [tex]2012[/tex]dollars.

∴[tex]2012=2000(1+\frac{r}{100} )^1[/tex]

⇒[tex]1+\frac{r}{100} =\frac{2012}{2000}=1.006[/tex]

⇒[tex]r=0.006*100[/tex]

⇒[tex]r=0.6[/tex]%

Now the question is to find how long it will take for the investment value to increase 10 percent.

[tex]y=2000(1+0.006)^\frac{x}{3}[/tex]

[tex]2000(1+0.1)=2000(1.006)^\frac{x}{3}[/tex]

⇒[tex](1.006)^\frac{x}{3} =1.1[/tex]

⇒[tex]\frac{x}{3}=\frac{log(1.1)}{log(1.006)}[/tex]

⇒[tex]x=3(\frac{log(1.1)}{log(1.006)} )[/tex]

⇒[tex]x=47.7979126....[/tex]

∴at [tex]x=48[/tex] the value will slightly cross 10 percent increase.

What are some math equations that end up making the answer being 209

Answers

Answer:

Step-by-step explanation:

(0^209 + 1(209)/(209))^0 + 208

Carlotta has 12 2/3 yd of ribbon to be divided among 19 girls in the cheerleading squad.how much ribbon will each girl get if it is divided equally among the 19 girls

Answers

Answer:

Each girl gets 2/3 yd of ribbon.

Step-by-step explanation:

12 2/3=38/3

(38/3)/19

(38/3)(1/19)

(2/3)(1/1)=2/3

What is the volume of a sphere that has a 64 m radius

Answers

Answer:

V=349525.333*pi

Step-by-step explanation:

Volume of a sphere: V=(4/3)*pi*r^3 where r=radius.

r=64

V=(4/3)*pi*(64)^3=(4/3)(262144)pi=349525.333*pi

Make b the subject of the formula
[tex]a = \sqrt{b + 6} [/tex]

Answers

Answer:

a^2 -6

Step-by-step explanation:

use ur basic knowing of equations

A rectangle has an area of 24 sq. inches and a perimeter of 50 in. what are the dimensions of the rectangle​

Answers

Final answer:

To find the dimensions of a rectangle with an area of 24 sq. inches and a perimeter of 50 inches, we set up a system of linear equations and solve for the length and width. The dimensions are found to be either 24 inches by 1 inch or 1 inch by 24 inches.

Explanation:

The question given by a student involves finding the dimensions of a rectangle given its area and perimeter. Given the area (24 sq. inches) and the perimeter (50 in.), we can set up two equations to solve for the length and width:

Area = length imes width = 24 sq. inches

Perimeter = 2 imes (length + width) = 50 inches

We can divide the perimeter by 2 to get the sum of the length and width:

25 = length + width

Since we have two equations, this forms a system of linear equations which we can solve simultaneously. First, assume the length is the larger dimension and let us represent it by 'L' and the width by 'W'. We have:

L imes W = 24

L + W = 25

To solve for L and W, we can use substitution or elimination methods. Let's assume we solve for W in terms of L using the first equation, W = 24/L, and then we substitute it into the second equation:

L + 24/L = 25

Multiplying both sides by L to clear the fraction, we get:

L² + 24 = 25L

Then we rearrange the terms to set the equation to zero:

L² - 25L + 24 = 0

Now we can factor this quadratic equation to find the values of L:

(L - 1)(L - 24) = 0

So, L can be either 1 inch or 24 inches. If L is 24 inches, then W will be 1 inch (since 24 imes 1 = 24), and if L is 1 inch, then W will be 24 inches. Either way, the dimensions that satisfy both the area and perimeter equations are 24 inches by 1 inch.

The dimensions of the rectangle are [tex]\( {24 \text{ inches} \text{ by } 1 \text{ inch}} \)[/tex].

To find the dimensions of the rectangle, let's denote the length by l and the width by w.

Given:

1. The area of the rectangle is 24 square inches:

[tex]\[ l \cdot w = 24 \][/tex]

2. The perimeter of the rectangle is 50 inches, which gives us the equation:

[tex]\[ 2l + 2w = 50 \][/tex]

Let's solve these equations step by step.

From the perimeter equation:

[tex]\[ 2l + 2w = 50 \][/tex]

Divide the entire equation by 2 to simplify:

[tex]\[ l + w = 25 \][/tex]

Now we have two equations:

[tex]\[ l + w = 25 \]\[ l \cdot w = 24 \][/tex]

Let's solve for l and w using substitution or elimination.

From ( l + w = 25 ), we can express l as:

[tex]\[ l = 25 - w \][/tex]

Substitute [tex]\( l = 25 - w \)[/tex] into [tex]\( l \cdot w = 24 \)[/tex]:

[tex]\[ (25 - w) \cdot w = 24 \][/tex]

Expand and rearrange the equation:

[tex]\[ 25w - w^2 = 24 \]\[ w^2 - 25w + 24 = 0 \][/tex]

Now, solve this quadratic equation using the quadratic formula [tex]\( w = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \)[/tex], where ( a = 1 ), ( b = -25 ), and ( c = 24 ):

[tex]\[ w = \frac{{-(-25) \pm \sqrt{{(-25)^2 - 4 \cdot 1 \cdot 24}}}}{{2 \cdot 1}} \]\[ w = \frac{{25 \pm \sqrt{{625 - 96}}}}{2} \]\[ w = \frac{{25 \pm \sqrt{{529}}}}{2} \]\[ w = \frac{{25 \pm 23}}{2} \][/tex]

So, we get two possible values for w:

[tex]\[ w = \frac{{25 + 23}}{2} = 24 \]\[ w = \frac{{25 - 23}}{2} = 1 \][/tex]

Now, find l for each value of w:

1. If ( w = 24 ):

 [tex]\[ l = 25 - 24 = 1 \][/tex]

2. If ( w = 1 ):

[tex]\[ l = 25 - 1 = 24 \][/tex]

I need help with this math problem.

Answers

Answer: Choice B) -6x - 2y = 12

===============================================

Explanation:

The x intercept is (-2,0) which is where the graph crosses the x axis.

The y intercept is (0,-6) which is where the graph crosses the y axis.

-----

Find the slope of the line through those two points

m = (y2-y1)/(x2-x1)

m = (-6-0)/(0-(-2))

m = (-6-0)/(0+2)

m = -6/2

m = -3

-----

The y intercept (0,-6) leads to b = -6

Both m = -3 and b = -6 plug into y = mx+b to get

y = mx+b

y = -3x+(-6)

y = -3x-6

-----

Now add 3x to both sides

y = -3x-6

y+3x = -3x-6+3x

3x+y = -6

-----

Lastly, multiply both sides by -2 so that the "-6" on the right hand side turns into "12" (each answer choice has 12 on the right hand side)

3x+y = -6

-2(3x+y) = -2(-6)

-2(3x)-2(y) = 12

-6x-2y = 12

which is what choice B shows.

help, succession formula

Answers

Answer:

[tex]a_n=-3*\left ( -\frac{2}{3} \right )^n \ n>=0[/tex]

Step-by-step explanation:

Succession can be understood as a sorted collection of values that respond to a general term or rule. We need to find if these numbers are in arithmetic progression or geometric progression.

In an arithmetic progression, every number is obtained as the previous number plus or minus a constant value called common difference. In a geometric progression, we get the next numbers as the previous one multiplied or divided by a constant value, called the common ratio.  

If we try to find a possible common difference between first and second terms we get:

[tex]2-(-3)=5[/tex]

If it was an arithmetic progression, third term should be

[tex]2+5=7[/tex]

Which is obviously not true. Now let's try to find a possible common ratio by dividing second by first term

[tex]r=\frac{2}{-3}=-\frac{2}{3}[/tex]

Testing our value to find the third term we get

[tex]a_3=2*(-\frac{2}{3})=-\frac{4}{3}[/tex]

Since we have more terms to test:

[tex]a_3=(-\frac{4}{3})*(-\frac{2}{3})=\frac{8}{9}[/tex]

The given value is just as predicted

The fourth term can be accurately predicted also:

[tex]a_4=(\frac{8}{9})*(-\frac{2}{3})=\frac{16}{27}[/tex]

Now we are sure it's a geometric progression, it can easily be stated the general term of the progression is

[tex]a_n=a_1*r^n \ n>=0[/tex]

[tex]a_n=-3*\left ( -\frac{2}{3} \right )^n \ n>=0[/tex]

The horizontal line segment at the top of the polygon on the grid below is how many units long?​

Answers

Answer:

6 units long.

Step-by-step explanation:

Given:

A polygon drawn on a graph.

In order to determine the distance of the horizontal line at the top, we find the coordinates of the end points and then use distance formula to find the exact distance.

Let us label the polygon as ABCD as shown below. AB is the length of the horizontal line.

Coordinates of A are [tex](x_1,y_1)=(-3, 4)[/tex] as seen in the graph.

Coordinates of B are [tex](x_2,y_2)=( 3, 4)[/tex] as seen in the graph.

Now, distance formula  for two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d_{AB}=\sqrt{(3-(-3))^2+(4-4)^2}\\d_{AB}=\sqrt{(3+3)^2+0}\\d_{AB}=\sqrt{36}=6\ units[/tex]

Therefore, the horizontal line at the top is 6 units long.

Answer:

6 units long

Step-by-step explanation:

brainly patrol what is wrong with that

Cos(theta)= -.9041, 180degress< theta <270degress

Answers

Answer:

[tex]\theta=205.298^o[/tex]

Step-by-step explanation:

We know

[tex]cos\theta=-.9041[/tex]

in the third quadrant [tex]180^o<\theta<270^o[/tex]

We use a scientific calculator to find the inverse cosine of -0.9041 to find

[tex]\theta=154.702^o[/tex]

Since this angle is not in the required quadrant we must find the other angle who has the same cosine. The required angle is equidistant from the found value from the 180 degrees angle, so our solution is

[tex]\theta=180^o+(180^o-154.702)=205.298^o[/tex]

An employee of a car wash earns $12 for each car she washes. She always saves $50 of her weekly earnings. This week, she wants to have at least $100 in spending money. Write an inequality to find the fewest number of cars she must wash.

Answers

the inequality representing the fewest number of cars she must wash is [tex]\( x \geq 13 \).[/tex]

To find the fewest number of cars the employee must wash, we need to determine the minimum number of cars that will allow her to have at least $100 in spending money after saving $50.

Let's denote the number of cars she must wash as( x \).

Given:

- Earnings per car washed: $12

- Amount saved: $50

- Desired spending money: at least $100

Step 1: Calculate her earnings from washing cars:

The total earnings from washing cars will be ( 12x ) dollars.

Step 2: Calculate her spending money after saving:

She saves $50 of her weekly earnings, so her spending money will be her total earnings minus $50, which is \( 12x - 50 \) dollars.

Step 3: Write the inequality:

Since she wants to have at least $100 in spending money, we can write the inequality:

[tex]\[ 12x - 50 \geq 100 \][/tex]

This inequality states that her spending money after saving must be greater than or equal to $100.

Now, to solve for [tex]\( x \), we'll isolate \( x \)[/tex] on one side of the inequality.

Step 4: Solve the inequality:

[tex]\[ 12x - 50 \geq 100 \][/tex]

Add 50 to both sides:

[tex]\[ 12x \geq 150 \][/tex]

Now, divide both sides by 12:

[tex]\[ x \geq \frac{150}{12} \][/tex]

[tex]\[ x \geq 12.5 \][/tex]

Step 5: Interpret the result:

Since the number of cars washed must be a whole number (you can't wash half a car), the fewest number of cars she must wash to have at least $100 in spending money is 13.

So, the inequality representing the fewest number of cars she must wash is [tex]\( x \geq 13 \).[/tex]

In a different plan for area​ codes, the first digit could be any number from 0 through 6 , the second digit was either 7 or 8​, and the third digit could be any number except 0 or 6. or 6. With this​ plan, how many different area codes are​ possible?

Answers

112 different area codes can be made.

Solution:

Given, In a different plan for area codes, the first digit could be any number from 0 through 6 ,  

So, total 7 digits are possible for 1st place (i.e. 0 1 2 3 4 5 6)

The second digit was either 7 or 8,  

So, total 2 digits are possible for 2nd place (i.e. 7 8)

And the third digit could be any number except 0 or 6.  

So, total possible digits are 8 for 3rd place (i.e. 1 2 3 4 5 7 8 9)

With this plan, we have to find how many different area codes are possible?

[tex]\text { total possible combinations }=7 \text { possibilities for } 1 \text { st place } \times 2 \text { for } 2 \text { nd place } \times 8 \text { for } 3 \text { rd place }[/tex]

[tex]\text { Total possible area codes }=7 \times 2 \times 8=14 \times 8=112[/tex]

Hence, 112 different area codes can be made.

Georgia's baby brother weighed less than 11 pounds when he was born. Which of the following could be the number of ounces Georgia's baby brother weighed? Select two that apply.
A
156 ounces

B
170 ounces

C
186 ounces

D
190 ounces

Answers

Answer:

Step-by-step explanation:

B :because 11 pound in Ounces is 176

What is 7225 / 8 with the remainder as a whole number​

Answers

Answer:

903 1/8

Step-by-step explanation:

Just divide 7225 by 8. :) I put it in fraction form but decimal form is just 903.125. I hope this helps you out. :)

Answer:

its 903 with 1 left over

Help with number 15 with the graph

Answers

Answer:

I believe it is 7

Step-by-step explanation:

Evaluate the expression –0.4(3x – 2) + StartFraction 2 x plus 4 Over 3 EndFraction for x = 4

Answers

Answer:

[tex]-0.4(3x-2)+\frac{2x+4}{3}=0\ \textrm{for}\ x=4[/tex]

Step-by-step explanation:

Given:

The expression to evaluate is given as:

[tex]-0.4(3x-2)+\frac{2x+4}{3}[/tex]

The value of 'x' is 4.

Plug in 4 for 'x' in the above expression and simplify. This gives,

[tex]=-0.4(3(4)-2)+\frac{2(4)+4}{3}\\=-0.4(12-2)+\frac{8+4}{3}\\=-0.4(10)+\frac{12}{3}\\=-4+4\\=0[/tex]

Therefore, the value of the given expression for 'x' equal to 4 is 0.

The required value of the given expression is 0 when substituting the value of x = 4 into the expression.

The expression is given as follows:

-0.4(3x - 2) + (2x + 4) / 3

Let's evaluate the given expression for x = 4:

Expression = -0.4(3x - 2) + (2x + 4) / 3

Substitute x = 4 into the given expression:

Expression = -0.4(3 × 4 - 2) + (2 × 4 + 4) / 3

Expression = -0.4(12 - 2) + (8 + 4) / 3

Expression = -0.4(10) + 12 / 3

Expression = -4 + 12 / 3

Expression = -4 + 4

Expression = 0

Therefore, when x = 4, the value of the expression is 0.

Learn more about Expressions here :

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Following a translation, the measures of the angles in a pre-image are congruent to the measures of the corresponding angles in its image.

True

False

Answers

The answer for this one question is very easy. It is true
The answer is True
it didn’t change shape there for doesn’t change angles

Which expression is equivalent to

Answers

First choice: m^32n^16

Hope this helps!

Answer:

The correct answer would be m^32n^16.

Step-by-step explanation:

This is because when you have a power inside parenthesis multiplied by a power outside the parenthesis, you are simply going to multiply the numbers like so:

8 • 4 = 32

4 • 4 = 16

m^32n^16

Hope this helps,

A.W.E.S.W.A.N.

• What ratio is equivalent to 6 to 2? Complete the statement.
)) The ratio 6 to 2 is equivalent to the ratio
to ?
3 to 1

Answers

Final answer:

The ratio 6 to 2 is equivalent to the ratio 3 to 1, obtained by dividing both the numerator and denominator of the ratio by their greatest common divisor, which is 2.

Explanation:

To find a ratio equivalent to 6 to 2, you simplify the ratio by dividing both numbers by their greatest common factor. In this case, the greatest common factor is 2, so 6 ÷ 2 = 3 and 2 ÷ 2 = 1. Therefore, the equivalent ratio is 3 to 1.

The ratio 6 to 2 can be simplified by dividing both numbers by their greatest common divisor, which is 2. Therefore, 6 divided by 2 is 3, and 2 divided by 2 is 1. This simplification shows that the ratio 6 to 2 is equivalent to 3 to 1. Ratios compare two quantities and can be expressed in several forms such as fractions, with a colon, or using the word "to". An equivalent ratio maintains the same proportional relationship between its components, just like how 6:2 has the same proportional relationship as 3:1.

A bag contains purple marbles and white marbles, 34 in total. The number of purple marbles is 1 less than 4 times the number of white marbles. How many purple marbles are there?

Answers

There are 27 purple marbles

Step-by-step explanation:

Let p be the purple marbles

and

w be the white marbles

Then according to given statements

[tex]p+w = 34\ \ \ Eqn\ 1\\p = 4w-1\ \ \ Eqn 2[/tex]

Putting p = 4w-1 in equation 1

[tex]4w-1 +w = 34[/tex]

Adding one on both sides

[tex]5w-1+1 = 34+1\\5w = 35[/tex]

Dividing both sides by 5

[tex]\frac{5w}{5} = \frac{35}{5}\\w = 7[/tex]

Putting w = 7 in equation 2

[tex]p = 4(7)-1\\p = 28-1\\p = 27[/tex]

Hence,

There are 27 purple marbles

Keywords: Linear equation

Learn more about linear equations at:

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A class of 32 consists of students who either have red or yellow shirts if there are 12 more people with red shirts in there are people with yellow shirt many students have red shirt

Answers

Answer:

22 people with red shirts and 10 people with yellow shirts

The ____ value of a digit is based on its location.

Answers

Answer:

place

Step-by-step explanation:

Answer:

The answer is " Place value"

Step-by-step explanation:

The place value determines the value of the digit in a number, based on its position.

A standard form number is divided into groups of three digits using commad. Each of these groups is called a period.

PLZZ HELP!!! NEED ANSWER QUICKLY!!!!
Describe and correct the following error for evaluating the function g(x)=-5x+3 when x=-3.
g(-3)=(-5)(-3)+3=-3g+g=-6
plz show step by step how you solved it

Answers

Answer:

The value of g(x) at x  = -3 is 18.

Step-by-step explanation:

Here, the given function is:

g(x) = - 5 x + 3

Now, for the value of x = -3 ,

g (-3) : Substitute the value of x  = -3 in g(x) , we get

g (-3)  =  -5 (-3) + 3

          =  15 + 3 = 18

or, g ( -3) = 18

Hence, the value of g(x) at x  = -3 is 18.

Leonard wants to save $100 in the next 2 months. He knows that in the
second month, he will be able to save $20 more than the first month.
How much should he save each month?
1 st
2nd
total
+

Answers

Answer:

$40,$60

Step-by-step explanation:

Let the money in the first month be x.

2x+20=100

x=40

What is an equation of the line that passes through the points (0,2) and (5,8)

Answers

The equation of the line that passes through the points (0, 2) and (5, 8) will be y = (6/5)x + 2.

What is the equation of a line passing through two points?

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The point given that lie on the line are mentioned below.

(0, 2) and (5, 8)

Then the equation of the line that passes through the points (0, 2) and (5, 8) will be given as,

(y - 2) = [(8 - 2) / (5 - 0)](x - 0)

y - 2 = (6/5)x

y = (6/5)x + 2

The equation of the line that passes through the points (0, 2) and (5, 8) will be y = (6/5)x + 2.

More about the line passing through two points link is given below.

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Final answer:

To find the equation of the line passing through (0,2) and (5,8), we calculate the slope as 6/5 and use the y-intercept of 2 to write the equation as y = (6/5)x + 2.

Explanation:

To find an equation of the line that passes through the points (0,2) and (5,8), we need to calculate the slope and use one of the points to write the equation in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

First, let’s find the slope of the line using the formula m = (y2 - y1) / (x2 - x1). Substituting the given points, we get m = (8 - 2) / (5 - 0), which simplifies to m = 6 / 5. This is the slope of the line.

Now, we can use the slope and one of the points to find the y-intercept. Since the line passes through (0,2), we know that the y-intercept b is 2. Therefore, the equation of the line is y = (6/5)x + 2.

SOS PLEASE HELP so I don't fail math

Answers

Answer:

2 years ago :/

Step-by-step explanation:

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What is an equation for the line with slope 2/3 and 7-intercept 9? 30 points to whoever answers this correctly and gets brainliest answer. the function f(x) = -3cos(3x+ x/4 ) has amplitude of what I need help with questions 4-10!! Which of the following random variables is not discrete? A) The number of classes taken in one semester by a student B) The annual rainfall in a city C) The attendance at a football game D) The number of patients treated at an emergency room in a day Write the slope-intercept form of the equation Through: (0,5) and (3,3) The current account is the record of receipts from _____ other countries What is ___- 99=60 Pls answer Bell's palsy is ________. Bell's palsy is ________. characterized by paralysis of facial muscles often caused by inflammation of the trigeminal nerve characterized by partial paralysis of diaphragm muscles characterized by loss of vision. 28 patients for 2 nurses as a unit rate The Glee Club sold a total of 150 tickets to their spring concert. Student tickets cost $5.00 each and adult tickets cost $8.00 each. If they had $1,020 in ticket sales, how many adult tickets did they sell?About to fail math willing to take any answers lol While professor gomez was going through a painful divorce, he tended to create unnecessarily difficult tests and gave his students unusually low grades. a psychoanalyst would be most likely to view the professor's treatment of students as an example of a) displacement. b) regression. c) reaction formation. d) projection Huong has moved from China to the United States. While she dresses and acts like her American friends, she still has retained much of her cultural heritage and attends traditional Chinese dance classes on the weekends. This is an example of ___________.a. assimilation.b. integration.c. separation.d. marginalization. ________ use the example of the social construction of womens health and how medical knowledge has changed significantly in the course of a few generations. For instance, in the early nineteenth century, pregnant women were discouraged from driving or dancing for fear of harming the unborn child, much as they are discouraged, with a more valid reason, from smoking or drinking alcohol today. A theatre has the capacity to seat people across two levels, the Circle andthe Stalls.The ratio of the number of seats in the Circle to the number of seats inthe Stalls is 2:5Last Friday, the audience occupied all the 528 seats in the Circle andthe seats in the Stalls.Work out the percentage of occupancy of the theatre last Friday. What is the temperature range in the Mesosphere?C to C The industry that produces portable CD players is in long-run equilibrium. Then the demand for portable CD players decreases permanently. As a result, firms will Some firms will ____ the market, and the market supply curve will shift ______. exit leftward exit rightward enter, rightward enter, leftward The weather in a certain locale consists of alternating wet and dry spells. Suppose that the number of days in each rainy spell is a Poisson distribution with mean 2, and that a dry spell follows a geometric distribution with mean 7. Assume that the successive durations of rainy and dry spells are independent. What is the long-run fraction of time that it rains? Project managers must often face the challenge of compressing the project schedule. All of the following actions can be taken to reduce the duration of the critical path EXCEPT: a. Overlap sequential activities using finish-to-finish, start-to-start, or start-to-finish relationships. b. Reduce the project scope and /or quality. c. Use the float in critical path activities d. Partially overlap sequential activities by using time leads. Which organelle stores genetic information? Corporation needs to raise $70 million to finance its expansion into new markets. The company will sell new shares of equity via a general cash offering to raise the needed funds. The offer price is $30 per share and the companys underwriters charge a spread of 8 percent. If the SEC filing fee and associated administrative expenses of the offering are $575,000, how many shares need to be sold? (Do not round intermediate calculations and enter your answer in shares, not millions of shares, rounded to the nearest whole number, e.g., 1,234,567.)