Find 3 consecutive odd integers such that the sum of 2 times the first and the last term is equal to 5 times the middle integer.

Answers

Answer 1

The 3 consecutive odd integers are -3, -5 and -7

Linear function

Let the 3 consecutive odd integers be 2x-1,  2x+1 and 2x+3

If the sum of 2 times the first and the last term is equal to 5 times the middle integer, then;

2(2x-1)+2x+3 = 5(2x+1)

Expand

4x-2 + 2x +3 = 10x+5

6x +1 = 10x + 5

6x - 10x = 5 - 1

-4x = 4

x = -1

Determine the numbers

First number = 2(-1) - 1 = -3

Second number = -5

Third number = -7

Hence the 3 consecutive odd integers are -3, -5 and -7

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Related Questions

Without dividing, choose <, >, or = to make each statement true.

Answers

We can conclude that -

f(x) < g(x), means that expression f(x) is less than g(x) {for given (x)}.f(x) > g(x), means that expression f(x) is greater than g(x) {for given (x)}.f(x) = g(x), means that expression f(x) is equal to g(x) {for given (x)}.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are the inequality signs as : >, < and =.

An inequality is used to make unequal comparisons between two numbers or expressions.

f(x) < g(x), means that expression f(x) is less than g(x) {for given (x)}.f(x) > g(x), means that expression f(x) is greater than g(x) {for given (x)}.f(x) = g(x), means that expression f(x) is equal to g(x) {for given (x)}.

Therefore, we can conclude that -

f(x) < g(x), means that expression f(x) is less than g(x) {for given (x)}.f(x) > g(x), means that expression f(x) is greater than g(x) {for given (x)}.f(x) = g(x), means that expression f(x) is equal to g(x) {for given (x)}.

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A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of threads?

Answers

Answer:

41 1/4 turns

Step-by-step explanation:

create a proportion:

turns / inches = turns / inches

't' = turns

16.5 / 1 = t / 2.5

cross-multiply to get:

t = 41.25 or 41 1/4

find the surface area of the regular hexgonal prism. ​

find the surface area of the regular hexgonal prism.

Answers

Check the picture below.

so the hexagonal prism is really just a hexagon with six 8x27 rectangles, let's simply get the area of all and sum them up.

\(\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap ~~ \begin{cases} p=perimeter\\ a=apothem\\[-0.5em] \hrulefill\\ p=\stackrel{8\times 6}{48}\\ a=6.9 \end{cases}\implies A=\cfrac{1}{2}(6.9)(48)\implies A=165.6 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{six rectangles} }{(6)(8)(27)}~~ + ~~\stackrel{ \textit{hexgonal face} }{165.6}}\implies 1296+165.6\implies \text{\LARGE 1461.6}~in^2\)

find the surface area of the regular hexgonal prism.

Karen runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?​

Answers

Answer:

x = 4.363636...

Step-by-step explanation:

Set up a ratio

6 miles : 55 minutes

x miles : 40 minutes

Cross Multiply

55x = 40*6

55x = 240

55x / 55 = 240 / 55

x = 4.363636...

what digit is in the

Answers

Given the expression;

\(\frac{17}{33}.\frac{3}{5}\)

This is a multiplication. The dot (or period) is used to denote multiplication in math. Hence, we would have;

\(\begin{gathered} \frac{17}{33}\times\frac{3}{5}\Rightarrow\frac{17}{11}\times\frac{1}{5} \\ \text{This can also be re-written as;} \\ \frac{17\times1}{11\times5}\Rightarrow\frac{17}{55} \end{gathered}\)

The answer therefore is 17/55

\(\frac{17}{55}\)

**Note that, while solving the fraction at the first step, the number 3 cancels out itself while at the same time reduces 33 to 11 (that is 3 goes into 33 eleven times)**

Def rotates 90 degrees clockwise about point a

Answers

Answer:

whut

i dont get it my man.

EnWAP

I would love to help please insert a picture or something

Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°

Answers

The statements are always true regarding the diagram are m∠5+m∠6=180°, m∠2+m∠3=m∠6 , m∠2+m∠3+m∠5=180°

How to find the measure of angles?

The given parameters are

m∠5+m∠3=m∠4 ---->              equation A

The m∠3+m∠4=180° -----> by supplementary angles

m∠4=180°-m∠3 ----> equation B

Substitute equation B in equation A

m∠5+m∠3=180°-m∠3

m∠5+m∠3+m∠3=180°

This equation is true when m∠2=m∠3

Therefore Is not always true case B) we have

m∠3+m∠4+m∠5=180° ----> equation A

We know that m∠3+m∠4=180° -----> by supplementary angles

m∠4=180°-m∠3 ----> equation B

Substitute equation B in equation A

m∠3+(180°-m∠3)+m∠5=180°

m∠5=0°

This option is not true case C) we have

m∠5+m∠6=180° we know that m∠5 and +m∠6 are supplementary angles so

Their sum is always 180 degrees

therefore this option is always true case D) we have

m∠2+m∠3=m∠6 -----> equation A

We know that m∠5+m∠6=180° ----> by supplementary angles

m∠6=180°-m∠5 ----> equation B substitute equation B in equation A

m∠2+m∠3=180°-m∠5

m∠2+m∠3+m∠5=180°

Remember that the sum of the interior angles of a triangle must be equal 180 degrees

Therefore this option is always true case E) we have

m∠2+m∠3+m∠5=180°

Remember that the sum of the interior angles of a triangle must be equal 180 degrees

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A stock price will rise if:
Supply of stock is greater than demand
The price-earnings ratio is 10 or greater
Stock yield is greater than 8%
Demand for stock is greater than supply
None of these

Answers

A stock price will rise if demand for stock is greater than supply. So, the correct answer is option (d).

What is Stock price ?

The stock price or share price is the amount of money it costs to buy shares in a company. Stock prices are not fixed and fluctuate based on market conditions. It is likely to go up if the company is viewed as good, and it is likely to go down if the company is not performing as expected. If there are more people who want to buy a demand than sell (supply ) it, the stock price will go up. Conversely, if more people want to sell than buy stocks, there will be more supply than demand and prices will fall. Understanding supply and demand is easy.

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Complete question:

A Stock Price Will Rise If:

a) Supply Of Stock Is Greater Than Demand

b)The Price-Earnings Ratio Is 10 Or Greater

c)Stock Yield Is Greater Than 8%

d) Demand For Stock is Greater Than Supply

e) None Of These.

Simplify –2(x + 4) + 5x + 10 completely.

Answers

Answer:

Step-by-step explanation:

We can simplify -2(x + 4) + 5x + 10 using the distributive property of multiplication over addition/subtraction and then combining like terms.

-2(x + 4) + 5x + 10

= -2x - 8 + 5x + 10 (distribute the -2)

= 3x + 2 (combine like terms)

Therefore, -2(x + 4) + 5x + 10 simplifies to 3x + 2.

The price of a phone is decreased by 19% and now is $319.14. Find the original price

Answers

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

what is percentage ?

In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.

given

Put this together using the conditions given: 319.14 / (1- 19%)

Determine the total or difference: 319.14 / 0.81

Diminish the fraction: 394

Response: 394

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

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use the unit circle to find sin 240 and cos 240, without using a calculator. then use your calculator to check your answers. notice that your calculator expects you to put parentheses around the 240, which is because sin and cos are functions. except in cases where the parentheses are required for clarity, they are often left out.

Answers

Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.

The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.

For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.

we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.

The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.

We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

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Anna volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 382 people went to The Youth Wing, 461 people went to Social Issues, and 355 went to Fiction and Literature. On Sunday, the library had 800 total visitors. Based on what Anna had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number.

Answers

Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Question content area top Part 1 Think About the Process Use the algebra tiles to help you solve the equation 2x - 4 = 10. What is the first step in solving the equation using algebra​ tiles? What is the solution to the​ equation?

Answers

The solution to the equation is x = 7.

What is the linear equation in one variable?

A linear equation in one variable is an equation of the form ax + b = 0, where a and b are constants and x is the variable. The general form of a linear equation in one variable is ax + b = 0, where a and b are constants and x is the variable. The graph of a linear equation in one variable is a straight line.

The first step in solving the equation 2x - 4 = 10 using algebra tiles would be to add 4 to both sides of the equation to get 2x = 14. The next step would be to divide both sides of the equation by 2 to get x = 7.

Hence, the solution to the equation is x = 7.

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D.
A
B.
A sidewalk in the shape of two triangles, a rectangle, and a square
was built around the edge of a building as shown.
108 ft²
T
6 ft
162 ft²
144 ft²
180 ft²
11
6 ft
What is the area of the sidewalk in square feet?
11
18 ft
30 ft

Answers

The area of the sidewalk is 388 square feet.

How to find the area of the sidewalk

To find the area of the sidewalk you can find the area of each individual shape and add them together.

Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.

Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.

Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.

Area of the square = 11 ft x 11 ft = 121 sq. ft.

Therefore, the total area of the sidewalk is:

33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.

So, the area of the sidewalk is 388 square feet.

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What is most liklely gonna be correct by guessing A B C or D

Answers

A I guess what type of question is this mate?

Answer:

I think B

Step-by-step explanation:

It woks for me more than the others.

please help answer these two i beggg

please help answer these two i beggg

Answers

Answer:

i can only answer 1 but the first one is c

Step-by-step explanation:

In the diagram, <4 and <5 are what type of angles?

A. corresponding angles
B. Alternate interior angles
C. Alternate exterior angles
D. Consecutive interior angles

In the diagram, &lt;4 and &lt;5 are what type of angles?A. corresponding anglesB. Alternate interior

Answers

Answer:

B. Alternate interior angles

Step-by-step explanation:

9 ft
4.7 ft
6.5 ft
6.5 ft
Find the area of the triangle.

9 ft4.7 ft6.5 ft6.5 ftFind the area of the triangle.

Answers

Answer: 21.15 ft²

Step-by-step explanation:

We can use the formula for the area of a triangle:

(b×h)/2

In this case, the base is 9 and the height is 4.7.

So, we substitute the variables with the numbers in this problem.

(9 × 4.7)/2

9 × 4.7 = 42.3

42.3/2 = 21.15

So, our final answer is 21.15 ft²

Substitute x=-2y into the expression 6x-7 and simplify

Answers

Answer:-12y -7

Step-by-step explanation: I think

Answer:

-12y - 7

Step-by-step explanation:

x = -2y

6x - 7 or 6(-2y) - 7

-12y - 7

All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What
is the shape of the cross-section resulting from the cut?
СА.
an equilateral triangle
B.
a square
C.
a rhombus
D.
a regular hexagon

Answers

Answer:

The shape from the cross-section resulting from the cut would be a Rhombus

Step-by-step explanation:

Edmentum Plato users!

The shape of the cross-section resulting from the cut is C. Rhombus.

What is a rhombus?

A rhombus simply means a shape that has opposite sides to be parallel and the sides are equal.

Here, the information states that the edges of the object in the diagram are equal in length and that the object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.

Therefore, the shape of the cross-section resulting from the cut is a rhombus.

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Graph y = 3x + 2. due today!

Graph y = 3x + 2. due today!

Answers

Answer:

Refer to picture.

How to:

Put a dot at (0,2) for the +2 in the equation.

Go three spaces up and one to the right. Repeat this until you can make a line.

Graph y = 3x + 2. due today!

SOMEONE HELP ASAP! PLEASE EXPLAIN IN DEPTH!
Find the area. You must show all work to receive credit. (10 points)

Figure ABCDEF is shown. A is located at negative 5, negative 8. B is located at 1, negative 8. C is located at 3, negative 5. D

Answers

The area of the figure is 51.4 unit²

The complete question

Figure ABCDEF is shown. A is located at 5, negative 8. B is located at 11, negative 8. C is located at 11, 0. D is located at 6

See attachment for the figure

The area of the figure

The figure can be divided into the following shapes:

Trapezoid 1: Opposite sides = (8 and 5) and height = 5Trapezoid 2: Opposite sides = (5 and 4.8) and height = 2Triangle: Base = 4.8 and height = 4

The area of the trapezoid is:

Area = 0.5 * (Sum of opposite sides) * height

So, we have:

Trapezoid 1 = 0.5 * (8 + 5) * 5 = 32.5

Trapezoid 2 = 0.5 * (5 + 4.8) * 2 = 9.8

The area of the triangle is:

Area = 0.5 * Base * Height

This gives

Triangle = 0.5 * 4.8 * 4 = 9.6

Add the individual areas

Area = 32 + 9.8 + 9.6

Evaluate the sum

Area = 51.4

Hence, the area of the figure is 51.4 unit²

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SOMEONE HELP ASAP! PLEASE EXPLAIN IN DEPTH! Find the area. You must show all work to receive credit.

I need help with this please help me

I need help with this please help me

Answers

Answer: A

Step-by-step explanation:

The three angles in a triangle add to \(180^{\circ}\). Therefore, each angle measures \(\frac{180^{\circ}}{3}=60^{\circ}\).

Which of the following graphs is NOT a function?

Which of the following graphs is NOT a function?

Answers

Answer:

Step-by-step explanation:

The ellipse (the top one). Check out the y axis. It hits the ellipse in two places when x = 0

That makes it a non function.

Definition: a function has only 1 y value associated with a corresponding x value.

A linear function contains the following points. (-2,8) (0,6) What are the slope and y-intercept of this function?​

Answers

Answer:

slope= -1

y-intercept is 6

Step-by-step explanation:

slope = y2-y1/ x2-x1

slope = 6-8/ 0-(-2) = -1

y-intercept is 6 because of (0,6), where the points cross y-axis

Use the equation m=y2-y1/x2-x1 to find the slope
6-8/0-(-2)
-2/2
M=-1
Plug inyour slope one set of coordinates into y=mx+b. I’ll use the ordered pair (0,6)
6=-1(0)+b
6=b
Equation: y=-x+6

What are the positive and negative square roots of 3,600?

Answers

Answer:

60 and -60

Hope this helps! :)

60 and -60 simplify it by breaking the radicand up into a product of known factors

URGENT PLEASE HELP I AM GIVING AWAY MANY POINTS I HAVE ATTACHED THE QUESTION

URGENT PLEASE HELP I AM GIVING AWAY MANY POINTS I HAVE ATTACHED THE QUESTION

Answers

Answer:

a) x=0, x=1

b)x=0, x=4/3

Step-by-step explanation:

I didnt use the graph, just used algebra. For part a, you can find the answers using the graph by looking at the value of x when y = whatever value they give.

A)

3x²-3x+2=2

3x²-3x+0

x(3x-3)=0

For the product of two things to equal zero, one of them has to be zero. For example, if ab=0, then either a or b (or both) are zero.

Therefore..

x=0

or 3x-3=0, ∴x=1

b)

3x²-3x-1 = x-1

3x²-4x=0

x(3x-4)=0

∴x=0, x=4/3

Answer:

I checked it over twice the first guy is correct make him brainliest

Step-by-step explanation:

Please answer correctly and no links, 3 only

Please answer correctly and no links, 3 only

Answers

Answer:

the last one

Step-by-step explanation:

he made 8 and a half cups, each serving is a quarter cup. so we have to divide what he made by the serving size to determine how many servings he made

How to solve 17.1 - 8.2y = -7.02

Answers

the answer is

\(y = 2.941463\)

which is closest to 3.

The company Save My Data offers data
storage in different packages for other
companies. 14 cloud accounts and 1 hard
drive have a total capacity of 18
terabytes. 3 hard drives and 4 cloud
accounts have a total capacity of 22
terabytes. Find the capacity of I cloud
account and the capacity of 1 hard drive.

Answers

the capacity of 1 cloud account is approximately 0.8421 terabytes, and the capacity of 1 hard drive is approximately 5.7895 terabytes.

Let's assume that the capacity of 1 cloud account is "C" terabytes and the capacity of 1 hard drive is "H" terabytes.

We can then set up a system of two equations to represent the given information:

14C + H = 18 (equation 1)

4C + 3H = 22 (equation 2)

We can use either substitution or elimination method to solve for C and H. Let's use elimination method by multiplying equation 1 by 3 and equation 2 by -1:

42C + 3H = 54 (equation 1 multiplied by 3)

-4C - 3H = -22 (equation 2 multiplied by -1)

Adding the two equations together, we get:

38C = 32

Dividing both sides by 38, we get:

C = 0.8421...

Now we can substitute this value of C into either equation 1 or equation 2 to solve for H. Let's use equation 1:

14C + H = 18

14(0.8421...) + H = 18

H = 5.7895...

Therefore, the capacity of 1 cloud account is approximately 0.8421 terabytes, and the capacity of 1 hard drive is approximately 5.7895 terabytes.

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how do crevasses form in glaciers? multiple choice glaciers erode the rock over which they move, leaving scratched and polished surfaces. the glacial ice cracks as it moves around a curve or over a steep surface. glaciers transport rocks and sediment and then deposit them at their base. the buildup of snow over time causes a type of metamorphism to occur. Which of the following correctly describes the graph? What is the volume in cubic meters of the rectangular prism that is 4 meters tall, 212 meters wide, and 8 meters long? someone help me ASAPI have to find angle 1 and angle 3 Women's History Month: it was time to tell not just history but "her story" Write a short paragraph that explains the central idea of the article. Use at least two details from the article to support your response.The first International Women's Day was celebrated more than 100 years ago. It happened on March 19, 1911, in Europe. In many European nations, as well as in the United States, women's rights was a hot topic.Women's suffrage, or the right to vote, was a top goal of many women's groups. Women and men wrote books on the important roles women have played in history. . An early celebration of International Women's Day in March 1917 in Petrograd, Russia. Photo: Wikimedia However, the Great Depression hit in the 1930s. The economic hard times, in which many people lost jobs, made it more difficult for women to work. The effects of the economic depression were felt in both the United States and Europe. Then World War II broke out in the 1940s, and the distraction of warfare knocked women's rights out of fashion. Problem that has no nameIn the 1950s and 1960s, though, the push for women's rights began a comeback. Women's rights activist and writer Betty Friedan pointed to the "problem that has no name." The problem was the middle-class housewife's frustration. Many women felt stuck at home alone all day. Most didn't have a job outside the house. They felt frustrated after giving up dreams of an education and career to only focus on raising children. With "women's liberation" in the 1960s, interest in women's issues and women's history blossomed.By the 1970s, there was a growing sense by many women that history as taught in school was missing something. The school lessons mostly taught about what men had done. In addition to telling "his story," women said schools should tell "her story" as well. In the United States, there were also calls for inclusion of black Americans and Native Americans. This helped more women realize they were also invisible in most history courses.Broader Field Of StudyIn the 1970s, many universities began to include the field of women's history. Then they expanded into the broader field of women's studies.In 1978 in California, a group was formed to help people learn more about important women. It was called the Education Task Force of the Sonoma County Commission on the Status of Women. The group began a "Women's History Week" celebration. They chose the week that already included International Women's Day. This day was now celebrated on March 8.The response was encouraging. Schools began to hold their own Women's History Week programs. Soon many of these women's groups agreed to support an effort to have Congress declare a national Women's History Week.In 1981, Congress passed a resolution establishing National Women's History Week. Government members from both major political parties officially led the resolution. One was Senator Orrin Hatch, a Republican from Utah, and the other was Barbara Mikulski, a Democrat who represented Maryland in the House of Representatives.Schools Honor Women In HistoryThe government's support encouraged even wider participation in Women's History Week. Schools focused for that week on special projects. They displayed exhibitions honoring women in history. The National Women's History Project also began distributing materials. They were designed to help teach about women during Women's History Week. The group also sent materials to improve lessons on women's history during the rest of the year.In 1987, the National Women's History Project asked Congress for more time. Congress expanded the week to Women's History Month. Each year, the U.S. President issues a declaration of March as Women's History Month.The President's Commission on the Celebration of Women in American History continued meeting through the 1990s. The aim was to further extend the inclusion of women's history in school lesson plans. They also wanted people to remember women in history every day. One result has been the effort toward establishing a National Museum of Women's History in Washington, D.C.Taking one month to remember the great things women have done is just one step. The hope is one day soon people won't need a reminder. It will be impossible to learn about history without learning about all the women who shaped it. A triangle has sides with lengths of 11 inches, 15 inches, and 18 inches. Is it a right triangle? (MC)Which of the following would most likely be part of a film theory discussion?The actors did a good job of portraying their characters.The scenery of the film was realistic for the time period of the film.The film is different from the director's previous film, although they both share the theme of the brutality of warThe plotline of the dog in the warzone was unrealistic; it would have been better if the director had followed the book's plot on this. How would you set up your solution?A. 402 +W2 = 282B. tan 40 = w/28C. sin 40 = w/28D. cos 40 = w/28 Midterm Part 1A high school principal has to choose an academicteam of four people. She decided to choose them froman AP Statistics class of 19 people.How many ways can the principal form a team?A) 5,232 B) 3,876 C) 4,253 D) 8,121 E) 7,821 Evaluate the expression when a =3 and c= 12. I need help Match each individual to appropriate level of corrections.1. Michelle was arrested for a DUI on Friday. Her arraignment is scheduled for Monday. community release 2. Lloyd was recently found guilty of murder. He is serving a fifteen-year sentence. state facility 3. Stan was found guilty of robbing a post office. federal facility 4. Loretta is free on parole. local county jail One strategy for managers to increase capacity by creating flexibility involves the? 5(u+6)-8u=33 what is the simplest answer Abigail's traits external in the crucible? What is the arithmetic mean of thefollowing numbers?8, 10, 8,5, 4, 7,5,10,8Help Estimate The Age Of A Piece Of Wood Found In An Archeological Site If It Has 15% Of The Original Amount Of 14C Still Present. Using EquationEstimate the age of a piece of wood found in an archeological site if it has 15% of the original amount of 14C still present. Using equation,-0.0001241A = Age Suppose that a company has undertaken a financial restructuring, which will improve its financial situation.In this way, it is expected that the spread of its bonds placed in the market will be reduced by 150 p.b. (basis point).If the modified duration of the bonds is 3 years, and the risk-free rate at that term is 2.5%, indicate how much the price of these instruments would change. What is a Difference between Patronize and Condescend? true or fales bodies of water,moutains,rainforest.and costal Is plains provide resources for the development of Mesoamerican cililization Find the molecular formula from the following empirical formulasKSO2 (206.34 g/mol)BH3 (27.668 g/mol)C3FeO6 (375.76 g/mol)SF5 (254.14 g/mol)