rotate (2,-3) 270 degree counterclockwise around (1,-2) then translate (x-2,y+5)

Answers

Answer 1

The image point of the transformation is (-1, 6)

How to determine the image of the transformation?

The coordinate of the point is given as

(2, -3)

The transformations are given as

270 degree counterclockwise around (1,-2) Translation by (x-2,y+5)

The rotation is around the point (1,-2)

So, the point becomes

Point = (2 - 1, -3 + 2)

Evaluate

Point = (1, -1)

The 270 degrees rotation has the algebraic rule of its rotation to be changed from (x, y) to (-y, x) i.e.  (x, y) => (-y, x)

So, we have

(x, y) = (1, 1) after the rotation

The translation is given as

(x - 2, y + 5)

So, we have

(x, y) = (1 - 2, 1 + 5)

Evaluate

(x, y) = (-1, 6)

Hence, the coordinates of the image is (-1, 6)

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Related Questions

what is -57.17 as a mixed number

Answers

The value of 57.17 as a mixed number is - 57 17/100.

In simple terms, what is a mixed number?

A mixed number is said to be in its simplest form if its fractional part's highest common factor, or HCF, is 1. When mixed numbers are simplified, the fraction value remains constant. We can say that the simplified mixed number and the actual mixed number are fractions that are equivalent.

A mixed number is made up of three components: a whole number, a numerator, and a denominator. The numerator and denominator are both components of the proper fraction that results in the mixed number.

In this case, -57.17 will be:

= -57 + (17/100)

= -57 17/100.

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HELP ME. I HATE MATH DUDE.

Answers

Refer to the photo taken.

The following coordinate plane shows three of the vertices of a rectangle. On an 8 by 8 coordinate grid, T is plotted 1 unit right and 4 units up from the origin. P is plotted 6 units right and 2 units up from the origin. Z is plotted 3 units right and 5 units up from the origin. What are the coordinates of Point Z? ( Choose... ) What are the coordinates of Point P? ( Choose... ) Which point has coordinates ( 1 , 4 ) ? Choose... In order to create a rectangle using these points as three of the vertices, what coordinates should be used for the fourth vertex? ( Choose... )

Answers

The coordinates of the points of the rectangle are given as follows:

Point Z: (3,5).Point P: (6,2).Point T is the point that has coordinates given by (1,4).

The coordinates of the fourth vertex are given as follows:

(4,1).

What are the coordinates?

The notation of an ordered pair is given as follows:

(x-coordinate,y-coordinate).

Point T is plotted 1 unit right and 4 units up from the origin, hence the coordinate are:

(1,4).

Point P is is plotted 6 units right and 2 units up from the origin, hence the coordinates are:

(6,2).

Point Z is plotted 3 units right and 5 units up from the origin, hence the coordinates are:

(3,5).

The equivalent sides on a rectangle are congruent, hence the equivalent sides are:

TZ and PM.

Hence the missing coordinate M is obtained as follows:

1 unit down from vertex P, hence y = 2 - 1 = 1.2 units left from vertex P, 6 - 2 = 4.

These distances are because these vertical and horizontal distances also are the vertical and horizontal distances from the equivalent side TZ.

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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 that are always true regarding the diagram of interior and exterior angles of a triangle include the following:

C. m∠5 + m∠6 =180°.

D. m∠2 + m∠3 = m∠6.

E. m∠2 + m∠3 + m∠5 = 180°.

What is the Linear Pair Postulate?

The Linear Pair Postulate states that the measure of two (2) angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two (2) adjacent angles would be equal to 180º when two (2) parallel lines are cut through by a transversal:

m∠5 + m∠6 =180°.

What is the exterior angle property?

The exterior angle property can be defined as a theorem which states that the measure of an exterior angle in a triangle is equal in magnitude to the sum of the measures of the two remote or opposite interior angles of that triangle:

m∠2 + m∠3 = m∠6.

In conclusion, the sum of all the angles formed by a triangle is equal to 180º:

m∠2 + m∠3 + m∠5 = 180°,

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Question 2 (1 poing
This table shows the total shipping costs for objects of
different weights.
Shipping Costs
$6.00
$3.00
$1.50
O $1.25
Weight of Object
(in pounds)
4
8
12
16
Total Shipping Cost
(in dollars)
5
11
17
23
Based on the information in the table, by how many dollars
does the total shipping cost increase if the weight of an
object increases by 1 pound?

Answers

Based on the information in the table, the dollars that the total shipping cost will increase if the weight of an object increases by 1 pound is C. $1.50

What is an equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It should be noted that from the information, the table shows the total shipping costs for objects of different weights.

In this case, let the dollar amount be x.

Based on the information, this will be:

4x = 6

Divide

x = 6/4

x = 1.5

In conclusion, the correct option is C.

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24)Jessica wants of make a garland out of 8 roses. 12 daisies and 48 marigolds. How many
arrangements can she make with those flowers so that, there is no flower left & what does they look
like.

Answers

Answer:

4

Step-by-step explanation:

Given: Number of roses = 8, Number of daisies =12 and number of marigolds 48.

Since we have given,

Number of roses = 8 , Number of daisies = 12 and number of marigolds = 48.

The factors of 8 = 2 * 2 * 2

The factors of 12 = 2 * 2 * 3

The factors of  48 = 2 * 2 * 2 * 2 * 3

Therefore, greatest common factor of  8, 12 and 48 is 4.

Therefore, the total number of arrangements = 4

Answer: 4

twelve more than the product of 16 and 3

Answers

Answer:

60

Step-by-step explanation:

16(3)+12

=48+12

=60

Answer:

60

Step-by-step explanation:

Can somebody help me solve

Answers

Answer:17.5

Step-by-step explanation: trust me

a stick of length 1.75m was measure by a boy as 1.80. find the percentage error in his measurement​

Answers

Answer:

2 6\7

Step-by-step explanation:

Solution Error in measurement = 1.8-1.75m =+0.05mPercentage error. = error ÷true value ×100 =+ 0.05÷1.75×100 =+ 5÷1.75 = +20÷7 =+ 2 6\7

A card is chosen at random from a standard
deck. What is the probability that the card is
a spade or a king, given that it is black?

Answers

the probability of getting a king or a spade is 30.7%.

What is probability?

Simply put, probability measures how probable something is to occur. The probability formula can be used to calculate the likelihood of an event by simply dividing the favorable number of possibilities by the total number of options. The likelihood of an occurrence might vary from 0 to 1 because the favourable number of outcomes can never be greater than all possible outcomes.

The formula for calculating the probability of an event is

Probability of an event = Favorable outcomes/Total number of outcomes.

Favorable outcomes = 16 {13 spade cards which include one king and the remaining 3 king cards.}

The total number of outcomes = 52.

Probability of choosing a king or a spade= 16/52 = 8/26 = 4/13=0.307

Hence, the probability of getting a king or a spade is 30.7%.

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Use the information to complete the task.
A family is driving at a constant speed of 60 miles per hour on the second day of a trip. The expressions 60h + 300 and 60(h+ 5) are equivalent.
They represent the total number of miles the family has driven on the trip, where h is the number of hours they have driven on the second day.
Choose "True" or "False" for each statement.
Statement
The value 5 represents the speed the family drove on the first day.
The value 60 represents the miles the family drove on the first day.
The value 300 represents the miles the family drove on the first day.
True or False?
True False
True False
True
False
A

Answers

Answer:

False

False

True

Step-by-step explanation:

Knowing that they are traveling 60 miles per hour, 60h is equivalent to how many miles they are traveling. When adding 300 you know that would be the a1 term going along the rules of sequences.

Therefore 60h is the rate of increase.

300 is the miles traveled on the first day.

With this information in mind we can now answer the True and false statements.

1. 5 represents the hours they drove on the first day, therefore 1 is a false statement.

2. 60 represents the mph they are traveling on the second day, therefore 2 is a false statement.

3. 300 represents the miles they traveled on the first day, therefore 3 is a true statement.

Answer:

false

false

true

the person above is correct :)

*1/2
*4 to 4
*2:1
*8/4

Answers

Answer:

1/2

Step-by-step explanation:

shaded sections = 4

total sections = 8


4/8

(4:4)/(8:4)

1/2

Answer:

The answer is 4:4.

Step-by-step explanation:

SAS
HL
State how the triangles can be proven
congruent, if possible.
AAS
ASA

Answers

Answer:

SAS or HL

Step-by-step explanation:

SAS, you have two sides and two angles  congruent on each triangle

HL, you have two hypotenuses and two right angles congruent

perimeter of a rectangle is 36 cm . If the length of the rectangle is 12 cm . Find its area. ​

Answers

Answer: 72 cm

Step-by-step explanation:

So since we know its length is 12 cm, that leaves us with finding the width. You could do that by adding the two length's together to get 24, then subtract that from the perimeter to get 12. The widths being added together must equal 12 and be the same, so we can divide by 2 to get 6 cm as the width. Then multiply 6 times 12 to get 72

Answer: A=72 cm²

Step-by-step explanation:

Let the width of the rectangle be x

Hence,  P=36 cm      l=12 cm

P=2(l+x)

P=2l+2x

P-2l=2x

Divide both parts of the equation by 2

Thus,

[tex]\displaystyle\\x=\frac{P-2l}{2} \\\\x=\frac{36-2(12)}{2}\\\\x=\frac{36-24}{2} \\\\x=\frac{12}{2} \\\\x=6 cm\\\\[/tex]

Area A=l*x

A=12*6

A=72 cm²

Find the values of X and Y. State which theorem(s) you used.

Answers

Using alternating and corresponding angle theorem, the value of x and y are (8, 146), (86, 94) and (21, 29.5) respectively

Alternate and Corresponding Angle Theorem

Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent. Corresponding and Alternate angles are the most fundamental angles formed when two parallel lines are intersected by a transversal line.

5)

3x = 5x - 64

Reason: Alternate angles are equal

5x + 3x = 64

8x = 64

x = 8

y + 5x - 6 = 180

Reason: Angles on a straight line are equal to 180

y + 5(8) - 6 = 180

y + 40 - 6 = 180

y + 34 = 180

y = 146

6) x = 86

Reason: Alternating angles are equal to one another

y + 86 = 180

Reason = 94

7) 2y = 59

Reason: Vertical angles are equal

y = 59 / 2

y = 29.5

2y = 3x - 4

Reason: Alternate angles are equal

2(29.5) = 3x - 4

59 = 3x - 4

3x = 59 + 4

3x = 63

x = 21

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PLS HELP

During a 90-minute school play, the main character was on stage 80% of the time.
What amount of time in minutes was the main character on stage?
88.9 minutes
112.5 minutes
80 minutes
72 minutes

Answers

Answer:

72 minutes

Step-by-step explanation:

you convert the 80% to decimal form so its now 0.80.

then you multiply how long the school play was (90) times the 'percentage' of how long the main character was on the stage (0.80).

90 times .80 is 72.

hope this helped:)

If I get $147.00 every two weeks for child support? In a year how much would that equal up to?

Answers

Answer:

Step-by-step explanation:

52 weeks in a year

Divide 52 by 2 = 26 weeks

26 weeks x 147 dollars = 3822 dollars

Thus the answer is 3822 dollars yearly

Answer:$3,528

Step-by-step explanation:

since there are 4 weeks in a month that would mean you would have to multiply 147 by two and that would = to $294.00/month so then you would have to multiply that by 12 so then that would = to $3,528.00 a year.

What is 12% sugar syrup using 5 grams of sugar

Answers

I think you divide 12 and 5 which would be 2.5%

Con Beads for Everyone Mrs. Harris wants her nineteen students to each have twenty-four beads to make a bracelet. Mrs. Harris finds beads in bags at the store. There are twelve beads in each bag. How many bags of beads does Mrs. Harris need to buy so she has exactly enough beads for her nineteen students? Each bag of beads costs $0.59. How much will Mrs. Harris spend on the beads? Show all your mathematical thinking.

Answers

Answer:

i.She needs 96 bags of beads

ii.She will spend $56.64 on the beads

Step-by-step explanation:

i.19×24=456

12÷456=96

96 bags

ii.96×0.59

=56.64

$56.64

You are organizing party invitations. The stamps come in packs of 20. The invitations
come in packs of 15. What is the least number of stamps and invitations you can buy so
you have an even number of stamps and invitations?

Answers

Answer:

255

Step-by-step explanation:

You need the least common multiple (LCD) of 15 and 17.

The prime factorizations of 15 and 17 are

3 × 5

17

Since there are no common factors, the LCM is their product.

15 × 17 = 255

Answer: 255

10. Solve 0.1(x+8)-0.5x = 0.2(2x - 6) +5.2. Justify each step.

Answers

Hope this helps you

Which of the following transforms y=x squared to the graph of y=(x+5) squared

Answers

The transformation which transforms y = x² to the graph of y = (x + 5)² as required in the task content is; a translation of 5 units leftwards.

Which transformation renders y = x² to the graph of y = (x + 5)²?

It follows from the task content that the transformation responsible for the mapping y = x² to the graph of y = (x + 5)² is to be determined.

Since the pre-image graph given in the task content is; y = x².

Recall that a translation of a graph f(x) by k units leftward is represented as; f (x + k).

On this note, the given transformation of y = x² to the graph of y = (x + 5)² as required in the task content can be attributed to;

A horizontal shift of 5 units leftward.

Put simply, the required transformation is; a translation of the graph of y = x² 5 units leftwards.

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I need to find x and y

Answers

Using the same-side interior angles theorem,

[tex]8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}[/tex]

Using vertical angles,

[tex]6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}[/tex]

What is the equation of a line that is parallel to 2x + 3y = 3 and passes through the point (3, -4)?
Enter your answer as a slope intercept equation (y=mx+b) in the box.​

Answers

Answer:

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

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

given

2x + 3y = 3 ( subtract 2x from both sides )

3y = - 2x + 3 ( divide through by 3 )

y = - [tex]\frac{2}{3}[/tex] x + 1 ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

• Parallel lines have equal slopes , then

y = - [tex]\frac{2}{3}[/tex] x + b  ← is the partial equation

to find b substitute (3, - 4 ) into the partial equation

- 4 = - 2 + b ⇒ b = - 4 + 2 = - 2

y = - [tex]\frac{2}{3}[/tex] x - 2 ← equation of parallel line

Francesca is way behind on email. Over winter break, she resolves to deal with 5 emails per
day.
Write an equation that shows the relationship between the number of days Francesca has
been on winter break, x, and the total number of emails she has dealt with, y.
y =
Submit

Answers

The equation for the total number of emails Francesca has dealt with is; y = 5x.

Explain the term linear equation?A linear equation is just an algebraic expression of the form y=mx+b, where m represents the slope while b is the y-intercept, while only a constant and the first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equations of two variables."

For the stated question-

Five emails are handled by Francesca each day.Assume that Francesca has been away on winter break for 'x' days.Let y represent the overall amount of emails she has handled.

Then, the linear equation forms is-

y = 5x

Thus, the equation for the total number of emails Francesca has dealt with is; y = 5x.

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Urgent, please help
I'll mark brainliest

Answers

Answer:

Step-by-step explanation:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.

Given the parent function

f(x) = 4x

If the function is not reflected over x-axis, the resulting function will be f(x) = -4x

If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;

g(x) = 1/8(-4x)

g(x) = -1/2x

Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

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Find the equation of this line.
[?]
y =
x + [ ]

Answers

Y= -7 ya eue todo los que esta ahi esta bueno
y = 3/4x + 2 is the equation to this line
the slope intercept form is y = mx + b
b is the y-intercept
m is the slope
use rise over run to find the slope

Can someone help me solve these problems?

Answers

Answer:

2. A is false

   B is false

   C is false

   D is true

In circle M with m ∠ L M N = 106 and LM=4 units, find the length of arc LN. Round to the nearest hundredth.

Answers

The length of arc LN of the circle is 7.40 units rounded to the nearest hundredth.

How to calculate for the length of arc of a circle

To calculate for the length of an arc of a circle, we use 2πr × (θ/360), where r is the radius and θ is the angle formed from the arc.

Thus we evaluate for the length of the arc as follows;

for π = 3.14, r = 4 and θ = 106°

2 × 3.14 × 4 × (106/360)°

25.12 × 0.2944

7.3953

Therefore, the length of the arc 7.3953 and rounded up to 7.40 to the nearest hundredth.

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Write and solve the equation that represents the sentence below.

The product of 18 and a number is 109.8 .

Which statements are correct? Select three options.

Answers

The linear equation we want to write is:

18*x = 109

And the solution is x = 6.06

How to write and solve the equation?

Remember that the product between two numbers is just a multiplication A*B.

Here we know that the product of 18 and a number, is 109.

If we define the variable x as the number, then we can write the linear equation:

18*x = 109

Where the product between 18 and x is equal to the number 109.

Now, we want to find the value of x, to do that, we need to divide both sides of the equation by 18, then we will get:

18*x/18 = 109/18

x = 109/18 = 6.06

The solution of the linear equation is 6.06

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Other Questions
question at position 1 horses and donkeys can interbreed, but their offspring (mules) are infertile. this is an example of what kind of reproductive isolating mechanism? brooke owns a sole proprietorship in which she works as a management consultant. she maintains an office in her home where she meets with clients, prepares bills, and performs other work-related tasks. the home office is 300 square feet, and the entire house is 4,500 square feet. brooke incurred the following home-related expenses during the year. brooke itemizes her deductions, and her itemized deduction for nonhome business taxes is less than $10,000 by more than the real property taxes allocated to business use of the home. unless indicated otherwise, assume brooke uses the actual expense method to compute home office expenses. real property taxes $ 3,600 interest on home mortgage 14,000 operating expenses of home 5,000 depreciation 12,000 repairs to home theater room 1,000 required: what amount of each of these expenses is allocated to the home office? what are the total amounts of tier 1, tier 2, and tier 3 expenses, respectively, allocated to the home office? if brooke reported $2,000 of schedule c net income before the home office expense deduction, what is the amount of her home office expense deduction, and what home office expenses, if any, would she carry over to next year? e. assume that brooke uses the simplified method for computing home office expenses. if brooke reported $2,000 of schedule c net income before the home office expense deduction, what is the amount of her home office expense deduction, and what home office expenses, if any, would she carry over to next year? note: leave no answer blank. enter zero if applicable. PLSSSSS HELP PRETTY PLS ILYSMSelect the correct answer.Kayla is planning lessons for the following week. She wants to include active participation activities for the students. Which would be the best for her to choose from the following? A. reading a book B. watching a video C. student discussions D. listening to an audio clip E. attending lectures ryan deposited $8,000 at national bank at 6% interest compounded quarterly. what was the effective rate (apy)? in the context of spearman's two-factor theory of intelligence, an intermediate class of factors common to a group of activities but not to all is called . which of the following is not a positive consequence of information technology for the manager? . improved productivity and teamwork saved time through employee self-service improved customer service and supplier relationship wired managerial workers What is the difference between the place value of a whole number and a place value of a decimal? geologists use a number of terms to describe the ways in which the oceans interact with land. identify the following examples by labeling the image. projection of romantic and sexual desire in opposite-sex friendships: how wishful thinking creates a self-fulfilling prophecy when sponsors enter into partnerships with sport organizations, they must realize that additional activation spending will be required to leverage the sponsorship effectively. group of answer choices true false seamus industries inc. buys and sells investments as part of its ongoing cash management. the following investment transactions were completed during the year: feb. 24 acquired 1,200 shares of tett co. stock for $82 per share plus a $140 brokerage commission. may 16 acquired 2,600 shares of issacson co. stock for $35 per share plus a $105 commission. july 14 sold 400 shares of tett co. stock for $100 per share less a $80 brokerage commission. aug. 12 sold 710 shares of issacson co. stock for $33.00 per share less an $85 brokerage commission. oct. 31 received dividends of $0.40 per share on tett co. stock.ournalize the entries for the transactions. Refer to the Chart of Accounts for exact wording of account titles. When required, round your answers to the nearest dollar.PAGE 10JOURNALACCOUNTING EQUATIONDATEDESCRIPTIONPOST. REF.DEBITCREDITASSETSLIABILITIESEQUITY123456789101112 What is 8.123 as a decimal number Choose three words from ""Ulysses"" and three words from ""The Lady of Shalott"" that you did not know or had to look up in a dictionary. Write a new sentence for each word in the same context that was used in the text Deshawn is taking an undergraduate health psychology course, and his midterm exam is next week. Over the past few days, deshawn has spent time studying for the exam and now feels confident that he will achieve a good grade. On the day of the midterm, deshawn is most likely to A student prepares a standardized solution of sodium hydroxide by the following procedure. The student first prepares a saturated solution of sodium hydroxide using freshly distilled or deionized water. She measures about 5 mL with a graduated cylinder and dilutes to 1 L in a plastic bottle with freshly distilled or deionized water to make a solution that is about 0.1 M. To determine the exact concentration she puts the NaOH solution in a buret and titrates a carefully-weighed pre-dried solid acid of known molar mass. She records the volume of NaOH needed to neutralize it and repeats the process several times to determine the concentration of the NaOH solution. She calculates the concentration and uncertainty in the concentration of the NaOH from the titration data. Why can\'t the student just weigh the sodium hydroxide directly to make a standard? Select all that apply. NaOH pellets react with water. NaOH pellets react with oxygen. NaOH pellets react with hydrogen. NaOH pellets react with carbon dioxide. NaOH pellets react with nitrogen. Why did the student first prepare a saturated solution? A. Saturated solutions are higher in purity than unsaturated solutions. B. Unsaturated NaOH solutions are light-sensitive. C. She can calculate the concentration of the saturated NaOH solution from the Ksp of NaOH. D. Any sodium hydrogen carbonate formed by the reaction of NaOH with atmospheric carbon dioxide will precipitate in the saturated solution. The student prepares the NaOH solution of high purity but unknown concentration by taking about 5 mL of the supernatant at the top of the saturated solution adding it to a plastic bottle with about 1 L of freshly distilled or deionized water. The bottom of the solution contains some white solids which are likely to be (select all correct answers): sodium hydroxide sodium hydrogen sulfate sodium silicate CO2(s) H2O(s) phthalic acid sodium hydrogen carbonate Why is a plastic bottle is generally preferred to glass bottle during the above step? A. The reaction between sodium hydroxide and plastic produces plastic hydroxide. B. Sodium hydroxide renders plastic inert by a process called passivation. C. Sodium hydroxide reacts slowly with glass, forming sodium silicate. D. Sodium hydroxide reacts with polyethylene. The concentration of saturated NaOH is 50.0% w/w and the density is 1.52 g/mL. If exactly 4.00 mL were diluted to 1.000 L, what would be the concentration? Why is potassium acid phthalate (KHC8H4O4, MM = 204.227 g/mol) so widely used as a standard in acid-base titrations? Select all that apply. It is stable to air It is expensive It is easy to dry It has a slowly changing pH at the equivalence point It has a relatively high molar mass It is available in high purity A student dries the pure potassium acid phthalate (KHC8H4O4) in the oven overnight to A. remove water B. purify the matrix C. remove carbon dioxide adn sulfer dioxide D. anneal the crystal structure She weighs 0.1553 g of dry potassium acid phthalate into a flask and adds some water from a graduated cylinder to dissolve it. Why doesn\'t she measure the volume of water with a more accurate device? A. The accuracy of the graduated cylinder is sufficient to measure to two decimal places which is all the precision needed for a titration. B. It would be better to measure the mass because it can be read to four decimal places with an analytical balance. C. The quantity of water actually is important and should be measured accurately because it affects the starting concentration thus the starting pH of the solution. D. The volume of water added is not important because the titration equivalence point depends only on the number of millimoles of potassium acid phthalate and not its concentration. The titration of 0.1553 g of dry potassium acid phthalate (MM = 204.227 g/mol) requires 49.84 mL of NaOH solution. What is the concentration of the NaOH solution? Why is freshly distilled or deionized water used in this standardization? A. Freashly distilled water contains no hydrogen peroxide B. Distilles water contains calcium, which stabilizes the sodium hydroxide C. Freashly deionized water has a pH of 4.72 D. There is little CO2 in freshly deionized or distilled water Which is a characteristic of a person with high self-esteem? a wide circle of friends feels worthy of love high academic achievement no drug or alcohol use According to the introduction, Mary Shelley wanted to write what type ofghost story?A. A story that the church would criticize for its demonic themeB. A story that awakened horror in the readerC. A story set in the future that focused on futuristic problemsD. A story that turned the modern world into a monstrous world Perform The operations! an object sits at rest with no unbalanced forces acting upon it. what do we expect this object to do? unpolarized light with intensity 300 w m2 is incident on three polarizers, p1, p2, and p3 numbered in the order light reaches the polarizers. the transmission axis of p1 and p2 make an angle of 45 . the transmission axis of p2 and p3 make an angle of 30 . how much light is transmitted through p3?