I need help on this questionnnn

I Need Help On This Questionnnn

Answers

Answer 1

Answer:

E(-5, - 6) D(5,-6) C(0,0)

Step-by-step explanation:

The strategy here is run then rise/fall

For example: for E, you run back - 5, then fall - 6


Related Questions

f(x) = 5x6 g(x) = 15x -2 what is f(x)/g(x)

Answers

Answer:

[tex]\displaystyle \frac{x^5}{3} + \frac{2x^4}{45} + \frac{4x^3}{675} + \frac{8x^2}{10125} + \frac{16x}{151875} + \frac{32}{2278125} + \frac{64}{2278125[15x - 2]} = \frac{f(x)}{g(x)}[/tex]

All work is shown above. ↑

I am joyous to assist you anytime.

$85 jeans; 7% tax

pls help

Answers

Answer:

sales tax is $5.95, total price of jeans is $90.95 I believe

Bill has x pence.
Ben has twice the amount of money that Bill has.
Write down, in terms of x, the number of pence that Ben has.

Answers

Answer:

2X

Step-by-step explanation:

bill has X and Ben has twice X so Ben has 2X

If Bill has x pence, the number of pence that Ben has will be 2x.

What is a linear equation?

It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.

The equation is referred to as a linear equation in one variable if just one variable is contained in the linear equation.

The linear equation is shown as, y=mx.

It is given that,

Bill has x pence.

Ben = 2 × amount of money that Bill has

Ben = 2x

Thus, if Bill has x pence, the number of pence that Ben has will be 2x.

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Factoring a Linear Binomial

Please include steps:

7u-14

Answers

Answer:

7u-14

= 7(u-2)

Therefore the factors are 7 and (u-2)

Hope this helps!

Point M is located at (-6, 6) What is located 5 units from point M

Answers

The points located 5 units from the point M (-6, 6) are (-1, 6), (-11, 6), (-6, 11) and (-6, 1).

To find a point located 5 units from point M in any direction, you can use the coordinates of point M and adjust them based on the distance.

If point M is located at (-6, 6), and you want a point 5 units away, you can choose a direction (left, right, up, or down) and adjust the coordinates accordingly.

For example, if you want a point 5 units to the right of M, you add 5 to the x-coordinate:

[tex]x_{new[/tex] = -6 + 5 = -1

So, a point located 5 units to the right of M is (-1, 6).

If you want a point 5 units to the left of M, you subtract 5 from the x-coordinate:

[tex]x_{new[/tex] = -6 - 5 = -11

So, a point located 5 units to the left of M is (-11, 6).

Similarly, the y-coordinate can be modified for points 5 units above or below M.

For example, if you want a point 5 units to the top of M, you add 5 to the y-coordinate:

[tex]y_{new[/tex] = 6 + 5 = 11

So, a point located 5 units to the top of M is (-6, 11).

If you want a point 5 units to the bottom of M, you subtract 5 from the y-coordinate:

[tex]y_{new[/tex] = 6 - 5 = 1

So, a point located 5 units to the bottom of M is (-6, 1).

Two similar FOR SALE signs have a scale factor of 5:3. The largest sign’s perimeter is 60 inches. Find the small sign’s perimeter.

Answers

The small sign's perimeter is 36 inches

Step-by-step explanation:

The scale factor between two figures is obtained by:

[tex]Scale = \frac{P_{l}}{P_{s}}[/tex]

So,

We know that

[tex]Scale= 5:3\\P_l = 60\ in\\[/tex]

Putting the values in the above equation of scale factor we get

[tex]\frac{5}{3} = \frac{60}{P_s}[/tex]

Cross multiplication

[tex]5 * P_s = 60*3\\5P_s = 180[/tex]

Dividing both sides by 5

[tex]\frac{5P_s}{5} = \frac{180}{5}\\P_s = 36[/tex]

Hence,

The small sign's perimeter is 36 inches

Keywords: Scale factor, Ratio

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the relationship between time and the distance remaining on a 3 mile walk at a steady rate of 2 miles per hour

Answers

Answer:

The Time taken to cover the distance of 3 miles at the speed of 2 miles per hour is 1.5 hours

Step-by-step explanation:

Given as :

The distance cover while walking = 3 miles

The Speed with which it walk 3 miles = 2 miles per hour

Let the time taken to cover the distance = T hours

Now,

∵ Time = [tex]\dfrac{\textrm Distance}{\textrm Speed}[/tex]

Or, T =  [tex]\dfrac{\textrm 3}{\textrm 2}[/tex]

∴ T = 1.5 hours

So, time taken is 1.5 hours

Hence The Time taken to cover the distance of 3 miles at the speed of 2 miles per hour is 1.5 hours  Answer

If the adult dosage of the medicine is 180 milligrams (mg), what is 1/3 of the adult dose?

Answers

The 1/3 of the adult dosage of the medicine will be 60 milligrams(mg).

What is a fraction?

A fraction is a number that is less than 1.

For example, a number 0.5 than is called a fraction number because it is less than 1.

Given that the adult dosage of the medicine is 180 milligrams(mg).

The 1/3 of the 180 milligrams(mg) will be

⇒ 180×1/3

60 hence, 60 milligrams(mg) is one-third of adult dosage.

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To find 1/3 of the adult dosage of 180 mg, you simply divide by 3, which results in a dose of 60 mg. This method ensures safe and accurate medication dosing.

If the adult dosage of the medicine is 180 milligrams (mg), then 1/3 of the adult dose can be calculated by dividing the adult dose by 3. So, you would perform the following calculation:

1/3 of 180 mg = 180 mg / 3 = 60 mg.

Therefore, 1/3 of the adult dosage of the medicine is 60 mg.

5/4 divided by 1 1/12

Answers

Answer:

1.36 or 34/25

Step-by-step explanation:

5/4=1.25

11/12=0.916

Answer:

15/13

Step-by-step explanation:

5/4 ÷  1 1/12

= 5/4 ÷  13/12

= 5/4 x 12/13

= (5 x 12) / (4x13)

= 60/52

=15/13

16 factory workers made 40 pieces in a certain amount of time.
a)Do these quantities (number of workers and number of pieces produced) vary directly or inversely?
b)Find the constant of variation.

Answers

a) The quantities vary directly

b) The constant of variation is 2.5

Step-by-step explanation:

Lets us revise the direct and inverse variation

If y varies x directly, then y = kx, that means the ratio between them is constant ( [tex]\frac{y}{x}=k[/tex] ) , they increased together and decreased together, k is the constant of variationIf y varies x inversely, then yx = k, that means when x increased y must be decrease ( [tex]y=\frac{k}{x}[/tex] ) k is the constant of variation

∵ 16 factory workers made 40 pieces in a certain amount of time

- If the number of worker increased, then the number of pieces

   increased in the same certain time, if the number of worker

   decreased, then the number of pieces also decrease in the

   same certain time

∴ The the number of workers and the number of pieces produce

   vary directly

∴ Number of pieces produced = k × number of worker

a) The quantities vary directly

∵ The number of worker = 16

∵ The number of pieces produced = 40

- Substitute these values in the equation of variation above

∴ 40 = k × 16

- Divide both sides by 16

∴ k = 2.5

b) The constant of variation is 2.5

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Maria had 7 boxes. A week later there was a fire. After the fire she had 22 boxes how many boxes did Maria start with?

Answers

Answer:

15

Step-by-step explanation:

Thank me and follow me plz

Answer:

15 bc 22-7 = 15

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

53 degrees

Step-by-step explanation:

Since we don't know the measure of the radius

UZ =127

UX=127

ZX =154

 360-154=  106

106/2=53

XY=53

YZ=53

A payday loan store charges $35 for a one-month loan of $700. What annual interest rate is this equivalent to?

%

Answers

Answer:

SOOO you got a loan wich means you recieved 700 dollars. u pay 35 dollars each month...

so basically 35*12 wouuld be what u would pay for a year

so 420 dollars is for one year- and yet u got a 700 dolllar loan so u actually are only paying 420 dollars which is 280 interest

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

The monthly rate is:

35/700 = 0.05

There are 12 months in a year, so the annual rate is:

12 × 0.05 = 0.6

The annual interest rate is 60%.

A student simplified the expression 5x - 3( x + 4) to 2x + 12p

Answers

Hopefully this would help!!

The simplified expression will be equal to - 6x² - 24x + 12p

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols; which can also be used to indicate the logical syntax's order of operations and other features.

Given that 5x - 3( x + 4)2x + 12p

Solving;

5x - 3( x + 4) 2x + 12p

5x - 3(2x² + 8x) + 12p

5x - 6x² - 24x + 12p

- 6x² - 24x + 12p

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If a certain brand of icecream is 99% fat free, how many cups would you have to eat to ingest the same amount of fat that would be in 1 cup of regular icecream?

Answers

Answer:

10,000 cups

Step-by-step explanation:

Direct proportional quantities are such that their quotients are always the same number. Example: If I need one cup of sugar to prepare 5 candies, I will need 2 cups of sugar to prepare 10 candies. The quotient 5/1 is equal to the quotient 10/2

Let's suppose a cup of regular ice cream would have 100 parts of fat.

The brand of ice cream mentioned in the question is 99% fat-free which means for every cup of their ice cream, we'll only get 1 part of fat. The relation is 100/1.

If we wanted 100 parts of fat out of fat-free ice cream we would need 100*100/1=10,000 cups of it

These numbers won't change if we used another number instead of 100 in the example shown.

Which equation is equivalent to n + 4 = 11?

Answers

Answer:

the equations n + 7= 11

Step-by-step explanation:

if your asking for the same equation

(not totally sure)

Answer:

n=7

Step-by-step explanation:

so move 4 to the other side so subtract cuz it's a positive number so it will be

n=7 so 7+4=11

Working her way through school, Julie works two part-time jobs for a total of 35 hours a week. Job A pays $6.10 per hour, and Job B pays $7.40 per hour. How many hours did she work at each job the week that she made $235.60? (Round to two decimal places if necessary.)

Answers

Answer:

Julie worked 18 hours at Job A and 17 hours at Job B.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Rate per hour at Job A = US$ 6.10

Rate per hour at Job B = US$$ 7.40

Hours at Job A = x

Hours at Job B = 35 - x

Total of hours worked by Julie = 35 hours

Total weekly earnings = US$ 235.60

2. How many hours did she work at each job the week that she made $235.60?

For finding the result, we will use the following formula:

6.10x + 7.4 (35 - x) = 235.60

6.10x + 259 - 7.4x = 235.60

-1.3x = 235.60 - 259 (Subtracting 259 to both sides)

-1.3x = - 23.40

x = -23.4/-1.3 (Dividing by -1.3)

x = 18

Julie worked 18 hours at Job A, so she worked 17 (35 - 18) hours at Job B.

3. Proof that x = 18 is correct.

6.10x + 7.4 (35 - x) = 235.60

6.10 (18) + 7.4 (35 - 18) = 235.60

109.80 + 125.80 = 235.60

235.60 = 235.60

It's proven that x = 18 is correct.

Answer:

Step-by-step explanation:

Let x represent the number of hours worked at Job A and 35-x represent the number of hours worked at Job B.

($6.10 × x) +$7.40 × (35-x) =$235.60

Solving for x

$6.10x + $259 - $7.40x = $235.60

Collect like terms and solve for x

$6.10x-$7.40x=$235.60-$259

-$1.3x=-$23.4

x=18hours for Job A while 35-x=17hours for Job B

maxwell wants a new phone for his 25th birthday. the one he wants cost $860 to purchaseand an additional 75 a month. his parents are willing to pay for half of the cost of the phone as a birthday gift present as long as maxwell pays the other half and the monthly charge . how much will maxwell spend after 5 month's ​

Answers

Answer:

805

Step-by-step explanation:

First we need to find half of 860

860÷2=430 because the parents are paying for tht

the other 430 he has to pay .

there is an additional charge of 75 dollars every month for 5 months .

75×5=375

now we need to add up his half 430 & the monthly fees for 5 months 375

430 +375=805

If you are paid $238.74 for 211 2 hours of work, what amount should you be paid for 34 hours of work at this same rate of pay?

Answers

Answer:

3.84335227

Step-by-step explanation:

like the photo

Find the rational zeros of the polynomial function, f(x)= 4x^3-8x^2-19x-7

Answers

Answer:

The rational zero of the polynomial are [tex]\pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1[/tex]  .  

Step-by-step explanation:

Given polynomial as :

f(x) = 4 x³ - 8 x² - 19 x - 7

Now the ration zero can be find as

[tex]\dfrac{\textrm factor of P}{\textrm factor Q}[/tex] ,

where P is the constant term

And Q is the coefficient of the highest polynomial

So, From given polynomial ,  P = -7 , Q = 4

Now , [tex]\dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q}[/tex]

I.e  [tex]\dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q}[/tex] = [tex]\frac{\pm 7 , \pm 1}{\pm 4 ,\pm 2,\pm 1 }[/tex]

Or, The rational zero are [tex]\pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1[/tex]

Hence The rational zero of the polynomial are [tex]\pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1[/tex]  .  Answer

please fill in the blanks:

The graph of this relationship is a ______.

The slope of the graph is ______.​

Answers

Step-by-step explanation:

y = mx + b

Your equation is y = 3/5x, which means you're "missing" the B

Whichhhhh, just means you're starting at (0,0)

Now, m represents the slope. So your slope was given right off the bat, 3/5.You start at (0,0) and you count up 3, and right 5. Or you could do down 3 and left 5This gives you a line with a slope of 3/5

Hopefully my drawing kind of explains it better

Benchmark 1 - Big Ideas Math - Grade 7
24. Jack's mother is 44 years old. She is 4 years older than 8 times Jack's age. The
equation 8a + 4 = 44 represents this situation.
How old is Jack?
A. 5
B. 6
c. 9
d.13​

Answers

Answer:

Jack is five. so, it's A

Step-by-step explanation:

subtract 4 from both sides of the equation. You can cancel out the four on the left, and get 40 on the right (since you took four away from 44.)

Then, divide by 8 on both sides. The eight is canceled out on the left. eight goes into 40 five times, meaning a=5.

The correct option is (A) 5. To find Jack's age, subtract 4 from both sides of the equation 8a + 4 = 44 and then divide by 8. This results in a = 5, meaning Jack is 5 years old.

To solve the given equation, 8a + 4 = 44, for Jack's age, we first need to isolate the variable a, which represents Jack's age. This can be done by first subtracting 4 from both sides of the equation to undo the addition.

8a + 4 - 4 = 44 - 4

8a = 40

Next, we divide both sides of the equation by 8 to undo the multiplication and solve for a:

8a / 8 = 40 / 8

a = 5

Therefore, Jack's age is 5 years old, which corresponds to option A.

Joan is sky diving from 3,5000 feet Before opening her parachute she descends at a rate of 80 feet per second what will be her height after 4 seconds of falling at this rate

Answers

Step-by-step explanation:

This should give you an idea the acceleration here is 9.81 because gravity and the equation is a kinematic equation

Sea equation below that represents the line passing through the .(1 ,-4)with a slope of 1/2

Answers

Answer:

f(x)=1/2x-4.5

Step-by-step explanation:

so I used Desmos, so your starting point is -4.5 down from the 0 on the y line, then just do rise over run with 1/2 and it should pass through (1,-4)

Cheryl and Sean shared tips in the ratio 5:2, Sean received £10, how much did Cheryl receive last week

Answers

Cheryl received £25 last week.

Step-by-step explanation:

Cheryl and Sean shared tips in ratio 5:2

Amount received by Sean = £10

Let,

Amount received by Cheryl = x

Using proportion;

Ratio of Cheryl and Sean's tips :: Ratio of amount received

[tex]5:2::x:10[/tex]

Product of mean = Product of extreme

[tex]2*x=5*10\\2x=50[/tex]

Dividing both sides by 2;

[tex]\frac{2x}{2}=\frac{50}{2}\\x= \£25[/tex]

Cheryl received £25 last week.

Keywords: ratio, proportion

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• What is the solution to 5x+ 20 = 7(x+2)?

Answers

For this case we must find the solution of the following equation:

[tex]5x + 20 = 7 (x + 2)[/tex]

Applying distributive property on the right side of the equation we have:

[tex]5x + 20 = 7x + 14[/tex]

Subtracting 7x from both sides of the equation:

[tex]5x-7x + 20 = 14\\-2x + 20 = 14[/tex]

Subtracting 20 from both sides of the equation:

[tex]-2x = 14-20[/tex]

Different signs are subtracted and the major sign is placed.

[tex]-2x = -6[/tex]

Dividing between -2 on both sides of the equation:

[tex]x = \frac {-6} {- 2}\\x = 3[/tex]

Thus, the solution of the equation is[tex]x = 3[/tex]

Answer:

[tex]x = 3[/tex]

determine the product (4.2×10^-1)+(5.7+10^-1)​

Answers

Answer: 6.22

Step-by-step explanation:

Factor the expression.
15x2 - 34x + 15

Answers

Answer:

You should get (5x-3)(3x-5)

Answer:

(5x - 3) (3x - 5)

CHECK:

(5x - 3) (3x - 5)

15x^2 - 9x - 25x + 15

15x^2 - 34x + 15

As an electronics technician, Ellen Bero earns $14.92 per hour. She earns double
time for work on Sundays. Last week she worked 38 regular hours plus 5 hours
on Sunday. What was her total pay for this week?

Answers

$716.16

38 x 14.92= 566.96
If she’s earns double on Sunday’s that means she makes $29.84 per hour.
29.84 x 5= 149.20
566.96+149.20= $716.16
I hope this helped!

In △ABC, point P∈AB so that AP:BP=1:2. Point R ∈ PB that PR:BR=1:2. Point Q∈BC so angle BQR = angle BCP. Find ratio of PQC to ABC.

Answers

Answer:

Ratio of PQC to ABC is 2:9.

Step-by-step explanation:

In ΔBRQ and ΔBPC

∠BQR = ∠BCP (given) and ∠B is common for both triangles, so from AAA similarity ΔBRQ and ΔBPC are similar.

⇒ BQ : QC = BR : RP = 2 : 1    →(1)

now draw perpendiculars from points A and P to BC line segment. Call the projected points as A' and P'.

It is clear that lines AA' and PP' are parallel. So in ΔBPP' and ΔBAA' we have AAA similarity with common angle at B.

⇒PP' : AA' = BP : BA = 2 : 3    →(2) (∵ AP : PB = 1 : 2)

area of ΔPQC = 0.5×PP'×QC

area of ΔABC = 0.5×AA'×BC

area of ΔPQC : area of ΔABC = (0.5×PP'×QC)/(0.5×AA'×BC)

                                               =(PP'/AA')×(QC/BC)

                                               =(2/3)×(1/3) (∵ from (1) and (2))

                                               =2/9.

∴ Ratio of PQC to ABC is 2:9

Other Questions
The Federal budget deficit is calculated each year by: A. Subtracting government spending from government revenues B. Subtracting consumption and investment from government spending C. Adding up consumption, investment, government purchases, and net exports D. Adding up the difference between government revenues and spending over the years of the nation's existence The DNA sequence is a code with instruction to assemble _______. you and your friend are collecting seashells on the beach. You collect 20 more shells than your friend collects. Together, you and your friend have 92 seashells. How many seashells do each of you collect Select the answer that correctly inserts the clause into the blank in this sentence: Thomas Edison __________ lived and worked in New Jersey. * As the supply of compact disc players has increased over the years and the price of compact disc players has dropped, the _____.a. demand for compact disc players has increased.b. demand for compact disc players has decreased.c. quantity demanded of compact disc players has increased.d. quantity demanded of compact disc players has decreased. Look at the posterThe contrast of the white print on the red background ismost designed toA)inspire audiences B)capture attentionC)encourage actionD)promote careers Hypothetical. A box is full of thousands of tickets labeled either O or 1 It is believed that the ave age of all he tickets in the box that the ro tion of S S 020 or 2 To test the null hypothesis that 20% of the tickets are labeled 1, we draw 400 tickets at random. Of these, 102 are labeled 1. Round your values to three decimal places. You can choose to work with the sum or the average (that is, the number of 1's or the proportion of 1's); the test statistic will be the same. Use this problem to practice this idea. If the null hypothesis is right, then the expected value of the number of 1's in 400 random draws from this box is If the null hypothesis is right, then the expected value of the proportion of 1's in 400 random draws from this box is with a standard error of The observed number of 1's is The observed proportion of 1's is 0.255 with a standard error of The test statistic is 2.75 The P-value (using a 2-test) is approximately 0.006 Mary, Inc. uses straight-line depreciation for all of its depreciable assets. Mary sold a used piece of machinery on December 31, 2015, that it purchased on January 1, 2014, for $15,000. The asset had a five-year life, zero residual value, and $3,000 accumulated depreciation as of December 31, 2014. If the sales price of the used machine was $9,500, the resulting gain or loss upon the sale was which of the following amounts?A. Loss of $500B. Gain of $500C. Loss of $3,000D. Gain of $3,000E. No gain or loss upon the sale Pattern A follows the rule "add 2" and Pattern B follows the rule "subtract 2." Pattern A: 1, 3, 5, 7, 9 Pattern B: 10, 8, 6, 4, 2 Which ordered pairs are formed from combining a term in Pattern A with its corresponding term in Pattern B? Select all correct answers. A (1, 3) B (1, 10) C (3, 6) D (5, 4) E (5, 6) F (7, 4) During intenseexercise, potassium tends to accumulate in thefluid surrounding muscle cells. What membraneprotein helps muscle cells counteract thistendency? Explain your answer. How much heat must be removed from 456 g of water at 25.0C to change it into ice at - 10.0C ? The specific heat of ice is 2090 J/(kg.K) and the latent heat of fusion of water is 33.5 x 10^4 J/kg . Does second-hand smoke increase the risk of a low birthweight? A baby is considered having low birth weight if he/she weighs less than 5.5 pounds at birth. According to the National Center of Health Statistics, about 7.8% of all babies born in the U.S. are categorized as low birthweight. Suspecting that the national percentage is higher than 7.8%, researchers randomly select 1200 babies whose mothers had extensive exposure to second-hand smoke during pregnancy and find that 10.4% of the sampled babies are categorized as low birth weight. Let p be the proportion of all babies in the U.S. that are categorized as "low birth weight." Give the null and alternative hypotheses for this research question. H 0 : p = 0.078 H 0 : p = 0.078 H a : p > 0.078 H 0 : p = 0.104 Food bill before tax: $40Sales Tax: 8% Tip: 17% Are coplanar points in the same line? Ethical issues that may arise in projects large and small include___________.A. pressure to mask delays with false status reports.B. exaggerated expense reports.C. gifts from contractors.D. compromised quality standards to meet bonuses or avoid penalties related to schedules.E. All of the above. The heat of vaporization of water at 100c is 40.66 kj/mol. Calculate the quantity of heat that is absorbed/released when 9.00 g of steam condenses to liquid water at 100c. Suppose that a woman had to have part of her thyroid gland surgically removed. 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She is struggling in Mrs. Watkins 8th-grade science class. Although she understands grade-level content, she reads at a 3rd-grade level and has difficulty identifying key ideas during lectures and independent reading. She also has difficulty organizing her ideas when writing. Mrs. Watkins typically: Lectures using PowerPoint presentations while students take notes Requires her students to read the textbook and provide written responses to the questions Requires students to conduct lab experiments by following written procedures Requires students to write up the results of their lab Assesses her students using written tests Based on what you know about Mrs. Watkins class: List at least three areas where Senada might experience difficulty. List at least three accommodations that could be used to address the barriers related to Senadas disability. Include the accommodations category and explain how these accommodations might help Senada access and demonstrate her learning. Based on the accommodations recommended above, what tips might be helpful for Mrs. Watkins to ensure that Senada receives the maximum benefit from her required accommodations? ______ refers to the ability of workers to identify and acknowledge emotions when they occur, and instead of having an immediate emotional response, to take a step back, allowing rational thought to influence their actions. Pat thought he had received the best deal on his new car. Shortly after the buying the car, Pat started to notice certain disadvantages of his new car as he learned more about other cars available in the market. Pat is experiencing ________.