Help me please!!!!!

Help Me Please!!!!!

Answers

Answer 1

The matrix

[tex]MN = \left[\begin{array}{ccc}-2&1&0\\17&2&-3\\11&12&-5\end{array}\right][/tex]

The given matrix is

[tex]M = \left[\begin{array}{ccc}1&0\\-4&3\\2&5\end{array}\right][/tex]

[tex]N = \left[\begin{array}{ccc}-2&1&0\\3&2&-1\\\end{array}\right][/tex]

The Order of M = (3×2)

The Order of N = (2×3)

Since the number of columns of M is equal to the number of rows, the multiplication of M and N is possible,

The order of the matrix formed is MN = ( 3 × 3 )

So,

[tex]MN = \left[\begin{array}{ccc}-2+0&1+0&0+0\\8+9&-4+6&0-3\\-4+15&2+10&0-5\end{array}\right] \\\\MN = \left[\begin{array}{ccc}-2&1&0\\17&2&-3\\11&12&-5\end{array}\right][/tex]

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Related Questions

A 132 ​-inch is cut into two pieces. One piece is times the length of the other. Find the length of the shorter piece.

Answers

The length of the shorter piece is 33 inches.

According to the question,

We have the following information:

A 132 ​-inch is cut into two pieces. One piece is three times the length of the other.

Now, let's take the length of the shorter piece to be x inches and the length of another piece will be 3x inches.

Now, we have the following expression:

x+3x = 132

4x = 132

4 is in multiplication on the left hand side. So, it will be in the division on the right hand side.

x = 132/4

x = 33 inches

Hence, the length of the shorter piece is 33 inches.

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Zachary is applying biomechanics to develop a specialized bat for a professional player. What does he compar
the hitter to?
Oa machine
O a computerized model
O another professional player
O a 3-D diagram

Answers

Answer:

Another Professional Player

The bids in an online auction are represented by the arithmetic sequence shown below. Write an explicit formula to represent the bids as an arithmetic sequence. What is the twelfth bid?
195, 205, 215, 225,...
A(n) =
A(12) =
(Type an expression using n for the variable.)
(Simplify your answer.)

Answers

(a) The nth term of the sequence is given by A(n)=195 + (n - 1)10.

(b) The 12th term of the sequence is A(12) = 305.

What is an arithmetic sequence?

One arithmetic progression with a common difference of 2 is the sequence 5, 7, 9, 11, 13, 15,...

The term "finite arithmetic progression" or "arithmetic progression" refers to a limited segment of an arithmetic progression.

A mathematical sequence has the following structure: a, a+d, a+2d, a+3d, etc., up to n terms. The initial term is a, the shared distinction is d, and n is the total number of words. Find the AP, the first term, the number of terms, and the common difference for the computation using the arithmetic sequence formulae. To determine the nth term, sum, or common difference of a given arithmetic sequence, many formulae related to arithmetic series are utilized.

A(n)=195+(n-1)10

The given arithmetic sequence is 195, 205, 215, 225,.....

The first term a =195

The common difference d= 205-195

d =215-205

d =225-215

So, d = 10

(a) The nth term is given by

A(n)=a+(n-1)d

A(n)=195+(n-1)10

(b) For n=12, the 12th term is given by

A(12)=195+11(10)

A(12)=305

Therefore, A(n)=195+(n-1)10

And A(12)=305

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Which statement is true?

This table does not show a probability distribution.
This table shows a probability distribution.

Answers

After using the probability distribution table, the given table does not show a probability distribution. The statement 1 is correct.

In the given question, we have to check which statement is correct regarding to the given option.

The given statements are:

(1) This table does not show a probability distribution.

(2) This table shows a probability distribution.

Before checking the statement we learn about a probability distribution table.

In a probability distribution table every result of a statistical experiment is connected to the likelihood that the result will actually occur. An experiment's result is recorded as a random variable, which is typically written with a capital letter.

As we can see that there is given the probability of having the blue, green, yellow and red color.

So the given table does not show a probability distribution.

So the statement 1 is correct.

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Which statement best analyzes the role this event plays in the plot?

In "The Necklace" Mathilde realizes too late that the necklace is a fake.

Answers

The statement that best analyzes the role this event plays in The Necklace plot is A. It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.

How to illustrate the information?

There are both planned and unplanned events, and the start and end times may be noted. Event types include accidents, celebrations, natural disasters, and rallies. The event is the occurrence of the event.

Loisel is well-liked and adored by all. As she walks away, she searches for the pendant and discovers it has gone missing. After days of searching, she and her husband decide to replace it with something similar. It takes her ten decades to pay for the successor, which costs the same as your salary.

In this case, it best analyzes the role this event plays in leading to the resolution where Mathilde learns a lesson about the downfall that can come from vanity and greed The plot of The Necklace.

Therefore, the correct option is A.

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Complete question

Which statement best analyzes the role this event plays in The Necklace plot?

“Oh, my poor Mathilde! Why, my necklace was paste! It was worth at most only five hundred francs!”

It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.

It is the climax of the story since the reader is most excited at this point.

It serves as a complicating incident because Mathilde will have to suffer the consequences of her actions.

It serves as the falling action because it shows that Mathilde will have to get used to her place in life.

8+ (-3) + (-8)

NEED HELP

Answers

your answer would be -3

Answer:

[tex]-3[/tex]

Step-by-step:

[tex]8+ (-3) + (-8)[/tex]

1  ) Combine like terms...

[tex]=5 - 8[/tex]

2 ) Solve...

[tex]= - 3[/tex]

Hope this helps! :)

/what is y-5x=3 solve for Y

Answers

Answer:

y=3+5x

Step-by-step explanation:

Add 5x to both sides.

The answer is y=3+5x!

the profit y (in dollars) for a business from selling x games is represented by y=33x graph the equation



THIS IS URGENT!!! SOMEONE PLEASE RESPOND!!!!

ty!

Answers

Answer: check the image attached

Step-by-step explanation:

Hope this helps

Answer:

Just point the graph on Y=33x+0

Step-by-step explanation:

There's no B or starting point, so you would just plant the point on 0,33

A window in the room has an actual width of 2. 5 feet. What is the width of the window in the blueprint? (same scale 3 in:5 ft)

Answers

The window width in the blueprint is 1.5 in.

Define the meaning of the term scale factor?A scale factor is a designation for figures with similar appearances but differing scales or measures.Assume two circles appear identical but have different radii. The scale factor specifies how much larger or smaller a figure is compared to the original figure.

As per the given question-

A window in the room measures 2. 5 feet in width.

The given scale is-

Blue print (inches) : original (feet)

3 in : 5 ft

Divide both side by 2

1.5 in : 2.5 ft

Window's width in Blue print (inches) = 1.5 in.

As a result, the window width in the blueprint is 1.5 in.

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16. Points X, Y, and Z are collinear, and Y is
the midpoint of XZ. Find the value of b.

Answers

Answer:

12=b

Step-by-step explanation:

2b+7=3b-4 is what your gonna do ti solve the problem because both segments have the same length. Then you solve for b by -2b from each side. Then it will become 7=b-4. Add 4 to the seven to get 12=b

You're putting 81 feet of molding
along the walls around a rectangular
room that's 12 feet wide; what is the
area of that room (if you subtracted
3 feet for the width of the door)?

Answers

Answer:

360 sq feet

Step-by-step explanation:

The width of the room is given in the question, 12 feet.

We don't know the length. Let's call the length x.

x = length

We were also given the perimeter, 81, that's the distance around the sides...

all the sides added up.



Use x for the long wall.

Use x-3 for the wall with the door in it.

x + 12 + x-3 + 12 = 81

combine like terms

2x + 21 = 81

subtract 21

2x = 60

divide by 2

x = 30

The room is 30 feet long by 12 feet wide.

Area =

length × width

= 30 × 12

= 360

The area of the room is 360sq feet.

Nigel is selling candy bars for his outdoor club. He is averaging 4 bars every 3 days. If he continues at this rate, how many days will it take to sell his box of 35? Answer in whole number form and round up to the next whole number.

Answers

The number of days that it will take to sell his box of 35 is 21 days.

What is a ratio?

Ratio simply demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

In this case, Nigel is selling candy bars for his outdoor club and he is averaging 4 bars every 3 days.

Let the number of days be x.

This will be:

3/x = 4/35

Cross multiply

4x = 3 × 35

x = (3 × 35)/4

x = 105 / 4

x = 21

It will take 21 days

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The polynomial f(x) = 2x ^ 3 + a * x ^ 2 + bx + 6 is exactly divisible by 2x - 3 and has the remainder -28 when divided by (x + 3) a) find the values of a and b. b) solve the equation f(x) = 0

Answers

The polynomial f(x) = 2x³ + ax² + bx + 6 is exactly divisible by 2x - 3. The values of a and b are a = 131/27 and b = -71/9

To solve the problem, use the polynomial remainder theorem. If a polynomial f(x) is divided by a linear function with zero x = a, then the remainder r = f(a).

The given polynomial is:

f(x) = 2x³ + ax² + bx + 6

- The polynomial is exactly divisible by (2x-3) means:

f(3/2) = 0

2. (3/2)³ + a(3/2)² + b(3/2) + 6 = 0

27 + 9a + 6b + 24 = 0

9a + 6b = - 51 (equation 1)

- f(x) divided by (x+3) has remainder -28

f(-3) = -28

2. (-3)³ + a(-3)² + b(-3) + 6 = -28

9a - 3b = 20  (equation 2)

Substract equation 2 from equation 1

9a + 6b = -51

9a - 3b =  20 _

      9b = -71

         b = -71/9

9a - 3(-71/9) = 20

9a = 131/3

a = 131/27

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the table below gives the annual sales (in millions) of a product. year 1998 1999 2000 2001 2002 2003 2004 2005 2006 sales 273 327 369 399 417 423 417 399 369 what was the average rate of change of annual sales a) between 2001 and 2002 millions of dollars/year b) between 2001 and 2006 millions of dollars/year

Answers

Main answer:

a) 18 millions of dollars/year

b) 6 millions of dollars/year

Step-by-step explanation:

a) the average rate of change of annual sales between 2001 and 2002 millions of dollars/year

Average rate = (Final year - Initial year) / (Sales on Final year - Sales on Initial year)

                     = (417 - 399) / (2001 - 2002)

                     = 18 / 1

                     = 18 millions of dollars/year

b) the average rate of change of annual sales between 2001 and 2006 millions of dollars/year

Average rate = (Final year - Initial year) / (Sales on Final year - Sales on Initial year)

                      = (369 - 399) / (2006 - 2001)

                      = 30 / 5

                      = 6 millions of dollars/year

The average rate of change of annual sales between 2001 and 2002 is 18 millions of dollars/year ,  between 2001 and 2006 is 6 millions of dollars/year

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Pls help asap
Number 3

Answers

Answer:

No

Step-by-step explanation:

The value that corresponds with the other value on a data (34 to 2, 51 to 3, 68 to 5 etc.) needs to have the same quotient (or ratio) when you compare them.

34/2 = 51/3 ? Yes (but you can't stop here because you need to test ALL the values, what I mean is ALL the values UNTIL you found one that is not equal to each other, if all of them are equal, then the data are proportional.

34/2 = 68/5 ? No (Now you can stop here and say it's not proportional because we already found one pair that are not equal).

Mr.Hollis determines that he gives away 800each month if he gives away 16 of his budget then how much is his overall budget

Answers

The overall budget the Mr Hollis has is $12800.

What is fraction?

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, Mr.Hollis determines that he gives away 800 each month and the fraction is 1/6 of his budget.

The value of the overall budget will be illustrated as x.

Therefore 1/16 × x = 800

x / 16 = 800

x = 16 × 800

x = 12800

Hollis has $12800 as budget.

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Can anyone state the vertex of the graph?

Answers

The graph has no vertex

The transformations from the parent function are

Vertical shift down 2Horizontal shift left 4

How to determine the vertex?

The graph represents the given parameter

As a general rule, the maximum or the minimum of a graph is the vertex

However, the graph has no maximum or minimum

This means that there is absence of a vertex in the graph

The transformation

Here, we have:

The graph is translated 4 units to the left of the origin The graph is translated 2 units below the origin

This transformation can be represented as (x - 4, y - 2)

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1. which of these variables are discrete and which are continuous random variables? (a) the number of new accounts established by a salesperson in a year. (b) the time between customer arrivals at a bank atm. (c) the number of customers at big nick's barber shop. (d) the amount of fuel in your car's gas tank. (e) the number of minorities on a jury. (f) the outside temperature today.

Answers

The discrete and continuous random variables are-

a) Discrete; (b) Continuous; (c) Discrete; (d) Continuous; (e) Discrete; (f) Continuous

Define the term discrete and continuous random variables?Discrete variables are those whose values may be measured through counting. Contrarily, random variables which it reflect something are designated continuous variables.

(a) So because number of new accounts is counted, (a) discrete (like, non-negative integers).

(b) Continuous, given that the interval between customer arrivals may have decimal values (like 2.9 minutes or 27.75 seconds).

(c) Because the quantity of clients is counted, (c) discrete (like, non-negative integers).

(d) Continuous, as the fuel consumption can have decimal values (like 15.5 gallons).

(e) Since this number of minorities is counted, (e) discrete (like, non-negative integers).

(f) Continuous since the outdoor temperature can be expressed in decimal degrees (e.g., 7.78 C).

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Write an equation of a line that passes through (-1,2) and is parallel to a line with x-intercept (3,0) and y-intercept (0,1).

Answers

The Equation of line is y= -1/3x + 5/3

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

x-intercept = (3,0) and y-intercept =  (0,1).

slope, m= 0-1/ 3-0= -1/3

so, The slope-intercept form of the equation of a line is

y= mx + b

y= -1/3x +b

Now, the passes through (-1, 2) we get

2= -1/3(-1) + b

2- 1/3= b

b= 5/3

So, the Equation of line is y= -1/3x + 5/3

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Please help now asap !!! Due tomorrow

Answers

Answer:

Step-by-step explanation:

it help by showinbng thta

A company orders 11 boxed lunches from a deli for $84.15. If each boxed lunch costs the same amount, how much do 14 boxed lunches cost?

Answers

The cost for 14 boxed lunches is $107.10.

How to calculate the price?

From the information, the company orders 11 boxed lunches from a deli for $84.15. Therefore, we need to calculate the unit price and this will be:

= Total amount / Number of orders

= $84.15 / 11

= $7.65

Therefore, the value for 14 boxes will be:

= Unit price × Number of orders

= $7.65 × 14

= $107.1

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How many triangles are in the figure below?
- 5
- 6
- 7 < answer
- 8

This question isn't possible, so I missed it and checked afterwards. Here's the answer for anyone else who may cross it's path. If possible, I'd love to know why 7 is the answer. I really have no idea.

Answers

Answer:

7 is correct.

There are 4 small triangles, 2 medium-sized triangles, and 1 large triangle.

Graph the image of the given triangle after the transformation that has the rule (x, y) −> (x - 1, y+5) .​

Answers

Answer:

I do not see the original triangle, but you would take the original and move it one unit to the left and 5 units up.

Step-by-step explanation:

For example, if the three vertices (corners) of the triangle were points:

(0,0), (1,5) and (-2,3).

Point (0,0) would move to (-1, 5)  0-1 and 0+5

Point (1,5) would move to (0, 10)

Point (-2,3) would move to (-3, 8)

Answer:

To graph the image of the triangle after the transformation, we first need to have the coordinates of the vertices of the original triangle. Once we have those coordinates, we can apply the transformation to each vertex to obtain the coordinates of the corresponding vertex in the transformed image. Then, we can plot the three transformed vertices to obtain the image of the triangle.

Let's say the original triangle has vertices A, B, and C with coordinates A(x1, y1), B(x2, y2), and C(x3, y3), respectively.

To obtain the transformed coordinates of A, we apply the transformation rule (x, y) → (x - 1, y + 5) to the coordinates of A:

A' = (x1 - 1, y1 + 5)

Similarly, we can obtain the transformed coordinates of B and C:

B' = (x2 - 1, y2 + 5)

C' = (x3 - 1, y3 + 5)

Now that we have the transformed coordinates of the three vertices, we can plot them to obtain the image of the triangle.

Here's an example:

Suppose the original triangle has vertices A(2, 4), B(5, 6), and C(7, 3). Applying the transformation rule (x, y) → (x - 1, y + 5) to each vertex gives us:

A' = (2 - 1, 4 + 5) = (1, 9)

B' = (5 - 1, 6 + 5) = (4, 11)

C' = (7 - 1, 3 + 5) = (6, 8)

Plotting these three points gives us the image of the triangle after the transformation:

Before transformation:

B (5, 6)

/ \

/ \

A (2, 4) C (7, 3)

After transformation:

B' (4, 11)

/ \

/ \

A' (1, 9) C' (6, 8)

Here's what the image of the transformed triangle would look like on a graph:

|

|

C' | B'

|

---------|--------

|

A' |

|

For a snack, Miss Johnson gives her class graham crackers. She has a package of 30
graham crackers to share equally among twelve students.
How many graham crackers should each student receive?
Dividing
?
graham crackers among
Each student gets
crackers.
students can be found by solving

Answers

Answer:

each student get 2.5 of graham crackers

Step-by-step explanation:

[tex]total \: students \: = 12 \\ graham \: crackers \: = 30 \\ 30 \div 12 \\ = 2.5[/tex]

can someone help its easy but im lazy plssss

Answers

The equation which represents the price of the ticket after the discount is y = 0.25x.

What is a linear equation?

A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that the movie theatre is giving a discount of 75% the original cost of the ticket is x and discounted cost is represented by the variable y.

The equation for the cost of the ticket will be written as,

y = x - 0.75x

y = 0.25x

The graph of the linear equation is attached with the answer below.

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Peni needs $1.20 daily for bus
fares, 50 cents daily to spend at the school canteen and $1.00 per day for newspaper.​

Answers

Answer:

Peni will need a total of $17.90

Step-by-step explanation:

$1.20 x 7 = $8.40

$0.50 x 5 = $2.50

$1.00 x 7 = $7.00

$8.40 + $2.50 + $7.00 = $17.90

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 18
Blue 11
Green 8
Yellow 4
Purple 19

Answers

The probability that the next spin will land on red or green or purple is 75%

Given , A spinner is divided into five colored sections that are not of equal size

Color      Frequency

Red            18

Blue            11

Green          8

Yellow         4

Purple          19

Total spin recorded = 18+11+8+4+19

=60

Let "A" be the event when spinner land on Red , "B" be the event when spinner land on Green and "C" be the event when spinner land on Purple

P(A) = 18/60 = 0.3

P(B) = 8/60 = 0.134

P(C) = 19/60 = 0.32

Probability that the next spin will land on red or green or purple will be P(A∪BC) = P(A) + P(B) + P(C)

P(A∪BC)  = 0.3 + 0.134 + 0.32 =0.754

= 0.754 × 100 = 75%

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Corinne and Deanna decide to race from one corner of an open field to the other. The field is rectangular in shape, 60 meters long and 80 meters wide. Since Corinne is older and faster, she's going to run along the outside of the field, and Deanna will take the diagonal route. If Deanna can run at a rate of 5 meters per second, how fast will Corinne have to run to get there at the same time as Deanna?

Answers

Answer:

Corinna will have to run at 7 meters per second to get there at the same time as Deanna.

Step-by-step explanation:

So to find the distance of Deanna's route, you can use the Pythagorean theorem.

a^2 + b^2 = c^2

60^2 + 80^2 = 10000

c^2 = 10000

Take the square root of both sides.

c = 100

So Deanna runs 100 meters at 5 meters per second.

100/5 = 20

She runs for 20 seconds.

To find Corinne's distance, we add 60 and 80, which is 140.

To find how fast she need to run to get there in 20 seconds, you divide 140 by 20, which gets 7 (meters per second). You can also think of it like this: to run 140 meters in 20 seconds, she has to run at 140 meters per 20 seconds, which you can simplify (like a fraction) to 7/1, or just 7

Stacy bought 8.3 pounds of fruit for a class party. The class ate 7.44 pounds of the fruit. How much fruit is left?

Answers

Answer: 0.86 pounds of fruit

Step-by-step explanation:

8.3-7.44=0.86

2 Dora has solved the equation 4(x - 1) = 11
4(x - 1) = 11
4x41 = 11
4x = 52
x = 13
Dora is incorrect. Explain her mistake.
Dora put the x es
and did 4x11
11 and
Find the correct solution to 4(x − 1) = 11
I mark

Answers

Dora solved the equation.

She multiplies 4 inside the bracket. But she fails to know that 4× -1 = -4. Instead she multiplied that 4×-1 = -41. This is her first mistake.

In the second step, she shifted -41 to the right side in order to find the value of x. As -41 gets shifted to right side , -41 becomes +41 and added with +11 to get 52. which is totally a wrong method.

Step-by-step explanation:

Here is the exact method of solvation.

[tex]{ \blue{ \bold{4(x - 1) = 11}}}[/tex]

[tex]{ \blue{ \bold{4x - 4 = 11}}}[/tex]

[tex]{ \blue{ \bold{4x = 11 + 4}}}[/tex]

[tex]{ \blue{ \bold{4x = 15}}}[/tex]

[tex]{ \blue{ \boxed{ \red{ \sf{x = \frac{15}{4}}}}}} [/tex]

Other Questions
You run a rflp analysis on two parents, both of whom are pure-breeding for a trait, and their child. The following gel has three lanes, one for each parent and one for their child. Which lane contains the childs dna?. Choose one environmental law and describe its major components. Speculate on how life would be in the present day if this legislation did not exist. In which sentence is the modifierplaced correctly?A. The new telescope was a major breakthrough onwhich astronomers almost worked fifteen years.B. The new telescope was a major breakthrough onwhich astronomers worked almost fifteen years.C. The new telescope was a major breakthrough onwhich astronomers nearly worked fifteen years. which assessment tool would you use to determine the degree to which a quality or trait was present? What were two main reasons for founding the colony of Georgia? the triceps muscle in the back of the upper arm extends the forearm. this muscle in a professional boxer exerts a force of 1495 n with an effective perpendicular lever arm of 2.10 cm , producing an angular acceleration of the forearm of 125.0 rad / s2 . what is the moment of inertia of the boxer's forearm? A short-wave radio antenna is supported by two guy wires, 150 ft and 180 ft long. Each wire is attached to the top of the antenna and anchored to the ground at two anchor points on opposite sides of the antenna. The shorter wire makes an angle of 65 with the ground. How far apart are the anchor points? (Round your answer to the nearest foot.) It is given that AC AD and CAB DABPart A Write a paragraph proof to prove ABC ABD. Explain in complete sentences each statement and reason. Be sure to give the reason the two triangles are congruent.Part B Now that you have proven the two triangles are congruent, can you show that CBA DBA? Explain your reasoning in a complete sentence. 3. which of the following is not an assumption of monopolistic competition? a) each firm's output is slightly different from other firms in the industry. b) there are many firms in the industry. c) production occurs with increasing returns to scale technology. d) each firm faces a perfectly elastic demand curve. Why weren't opioids commonly used to treat pain until more recently?(A) It was never proven that opioids could successfully reduce pain.(B) Opioids didn't alleviate pain, rather they created euphoric effects for the user.(C) The chance a patient would get addicted to opioids was too high.(D) They were too expensive to prescribe to people with chronic pain. Is this statement true or false? venezuela has the largest proven oil reserves in the western hemisphere. what is Sacagawea's backround which lean related process can be described as a strategy to increase the level of services to consumers through close cooperation among retailers, wholesalers, and manufacturers? which lean related process can be described as a strategy to increase the level of services to consumers through close cooperation among retailers, wholesalers, and manufacturers? just-in-time efficient consumer response quick response keiretsu relationships If your long-term financial goal is to retire as a millionare and you plan to invest at least $200 per month for 40 years, what rate of return would keep you from ending up a millionare based on the Building Wealth Charts? Why do most of Canadas energy exports go to the United States? in the experiment where the amount of chloroplasts was varied, what do your results show about chloroplast function? Which statements explain current theories about dark energy and dark matter? Check all that apply. Space that appears empty actually contains dark energy and dark matter. Dark matter does not emit electromagnetic radiation. Scientists believe dark energy will cause the universe to collapse inward to a single point. Scientists theorize that dark energy is causing the expansion of the universe to accelerate. Dark matter includes all of the dust, ice, and debris that scientists observe in black holes. The results in the table above show the percentage change in mass of the potato cylinders. explain why the percentage change results are positive and negative. what is the effect of mean arterial pressure in the presence of norepinephrine, vasopressin, or angiotensin ii? according to money magazine, maryland had the highest mean annual household income of any state in at (time website). assume that annual household income in maryland follows a normal distribution with a mean of and standard deviation of . a. what is the probability that a household in maryland has an annual income of or more (to 4 decimals)?