let nn denote the smallest positive integer that is divisible by both 44 and 9,9, and whose base-1010 representation consists of only 44's and 99's, with at least one of each. what are the last four digits of nn?

Answers

Answer 1

The last four digits of the number nn are 4944

Given that,

Let nn stand for the lowest positive integer that can be represented in base-1010 using only the numbers 44 and 99, with at least one of each. This number must be divisible by both 44 and 9,9.

The last two digits of n must be divisible by 4 for n to be divisible by 4.

So last digits of n will be 44.

And for divisiblity by 9, sum of all digits of n has to be divisible by 9.

As two digits are fixed and their total is 8, next feasible total will be 45 so 9 can be atleast one time in n.

And as statement says n has to be smallest number n will be 4444444944

So last 4 digits of n are 4944.

Therefore, nn's last four numbers are 4944.

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Related Questions

Dan uses the equation g left parenthesis x right parenthesis equals 5 x plus 50 to model the balance of his savings account after saving for x weeks. What is the value and meaning of g left parenthesis 60 right parenthesisblank in the context of the problem?

Answers

The value is 350.

From the question, we have

Dan uses the equation g(x)=5x+50 to model the balance of his savings account after saving for x weeks.

g(x)=5x+50

substituting the value x = 60, we get

g(60)=5*60+50

=300+50

=350

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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Which factor most likely results in the loss of genetic variation from a small population?.

Answers

The factor most likely results in the loss of genetic variation from a small population is called genetic drift.

Small populations tend to lose genetic variation at a faster rate than large populations due to genetic drift (stochastic sampling error). Genetic drift refers to the change in an existing gene variant frequency in the population due to random chance. Genetic drift may result in the disappearance of gene variants completely and thus decreases genetic variation. Furthermore, it could initially cause rare alleles to become much more frequent, and even fixed. The loss of some versions of a gene due to random chance is more likely to happen when populations are small.

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III. Write each quadratic equation in standard form

1. 3x-2x² = 7

2.5-2x² = 6x

3.(x+3)(x+4)=0

4.(2x + 7)(x-1)=0

5,2x(x-3) = 15
ax²+bx+c=0

Answers

Answers are attached

In the figure below, a pole has two wires attached to it, one on each side, forming two right triangles.

Based on the given information, answer the questions below. Round each answer to the nearest tenth.

Part A: How tall is the pole? Show your work.

Part B: How far from the base of the pole does Wire 2 attach to the ground? Show your work.

Part C: How long is Wire 1? Show your work.

Answers

Step-by - step

Part A. tan41 = p/34
p = 29.6 ft

Part B. tan38 = x/29.6
x = 23.1 ft

Part C. 34^2 + 29.6^2 = w^2
2032.16 = w^2
45.1 ft = w

The answers are a) 29.55 ft, b)  23.08 feet and c)  45.05 feet

What are trigonometric ratios?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.

Given is a figure, of two wires 1 and 2 attached to a pole and ground

Using trigonometric ratios, we have,

a) tan41° = Height of pole/34

Height of pole = tan41°x34

Height of pole = 29.55 ft

b) tan38° = (distance of wire 2 from the base of pole)/29.55

Distance of wire 2 from the base of pole = tan38°x29.55 = 23.08 feet

c) cos41° = 34/length of wire 1

Length of wire 1 = 34/cos41°

Length of wire 1 = 45.05 feet

Hence, The answers are a) 29.55 ft, b)  23.08 feet and c)  45.05 feet

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Determine the next three terms in the following sequence:

2, 3, 5, 8, ____, ____, ____,...
a.
13, 19, 26
b.
12, 17, 23
c.
12, 16, 20
d.
13, 17, 23

Answers

Answer:

b.  12, 17, 23

Step-by-step explanation:

Look at the differences between the numbers.

Number   Difference

2                  

3                      1

5                      2

8                      3    The difference increase by 1 at each step.  The next 3 increase would be:

                        4

                        5

                        6

The next three numbers are:

12                       4

17                        5

23                       6

Answer:

b.

12, 17, 23

Step-by-step explanation:

what is the correct postulate to prove these two triangles congruent?

A. SAS
B. ASA
C. SSS
D. AAS
E. HL

Answers

B. ASA
If two triangles and the included side of one triangle are congruent to two angles and the included side of another triangle, then two triangles are congruent

The circumference of a circle is 19π cm. What is the area, in square centimeters? Express your answer in terms of

Answers

When the circumference of a circle is 19π cm the area of the circle is

28.27 square centimeters

How to calculate the area of a circle ?

Information given in the question include

The circumference of a circle is 19π cm

Area of a circle is given by

π r^2

where r = radius

π = constant = 3.124

circumference of a circle is given by 2πr

2πr = 19

πr = 9.5

r = 3.024

r = 3 cm

The area is solved as

= π * 3^2

= 28 .27square centimeters

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Given the equation F(x)=3x-1 what is f(x+9)?

Answers

f(x+9) = 3x + 26.

Given equation:

f(x)=3x-1

f(x+9) = 3(x+9) - 1

= 3x + 3*9 - 1

= 3x + 27 - 1

= 3x + 26.

Therefore f(x+9) = 3x + 26.

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6y^2 + 7y - 20= 0


solve this quadratic equation using a multiplication frame.

Answers

y= -4/3=-1.333

y= 5/2=2.500

Find the equation of the linear function represented by the table below in slope-
intercept form.

Answers

The equation of the linear function represented by the table would be y = 4x - 1.

What is the slope-intercept form of the line?

When you know the slope of the line to be examined and the point given is also the y-intercept, you can use the slope-intercept formula

                               y = mx + c.

The y value of the y-intercept point is represented by c in the formula.

By using the given table,

for x = 0 , y = -1

so by using the slope-intercept form of the line, we can write

              y = mx + c

              -1 = m(0) + c

               c = -1 ----------(I)

Then for x = 1, y = 3

again by using the slope-intercept form of the line, we can write

                  y = mx + c

                 3 = m(1) + (-1)  -----from (I)

                  3 = m - 1

             ⇒ m = 3 + 1

             ⇒ m = 4 -----------(II)

Now by using (I) and (II), we can make a linear function by using the slope-intercept form of the line

                     y = 4x - 1

Hence, the equation of the linear function represented by the table would be y = 4x - 1.

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What is the slope of the line that passes through the points (-5,2) and (-1,-6)

Answers

Answer:

Slope = -2

Step-by-step explanation:

Slope of Line passes through two Points [tex](x_{1},y_{1} )[/tex] and [tex](x_{2},y_{2} )[/tex]

is given by [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

So by Substitution

[tex]m=\frac{-6- 2 }{-1 - (-5)}=\frac{-8}{4} =-2[/tex]

A particular car is 16 ft long. A model of it was built with a scale of 1 in: 2 ft. How long is the model car?​

Answers

The car that is 16 feet long has a length of 8 inches on the scale.

How to find the length of the modelled car?

Scale is used to represent the relationship between a measurement on a model and the corresponding measurement on the actual object.

Therefore, the particular car is 16 feet long. A model of it was built with a scale of 1 in: 2 ft. The length of the car can be found as follows:

2 feet = 1 inches

16 feet = ?

cross multiply

length of the model car = 16 / 2

Therefore,

length of the model car =  8 inches

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For her final​ project, stacy plans on surveying a random sample of students on whether they plan to go to florida for spring break. From past​ years, she guesses that about ​% of the class goes. Is it reasonable for her to use a normal model for the sampling distribution of the sample​ proportion? why or why​ not?.

Answers

Less than 10 attempts were successful in this situation. due to the fact that 5 is less than 10. The data does not satisfy the requirement as a result.

Because the data don't fit the success or failure criteria, it is not appropriate to adopt a normal model for the sampling distribution of the sample.

50 students make up the sample. The likelihood that she assumes 10% of the class will attend is 10%. It will be demonstrated by:

1 - p = 1 - 10%

⇒ 1 - 0.10 = 0.90

np = 50 × 0.1

np = 5

This suggests the number of victories.

In this case, fewer than 10 efforts have been successful. Since 5 is less than 10, this is the situation. The data does not meet the criteria as a result.

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a news poll which estimated that 82% of all voters believe global warming exists had a margin of error of /- 3%. suppose an environmental group planning a follow-up survey on this issue wants to determine a 95% confidence interval with a margin of error of no more than 2%. how large a sample do they need? (for estimate of p use 0.82)

Answers

The needed sample size is 1419. Sample Size is defined as the number of observations in the study.

In the question we have ,

estimate value of all voters who believe global warming ( p) = 82% = 0.82

margin of error (M.E) = 2% = 0.02

confidence of interval is calculated by estimate point value and add or subtract margin of error .

here,we have the value of confidence of interval is 95% = 0.95

Margin of error formula is

M.E = Z × √(p(1-p)/n)

where, p --> is estimated value

n---> sample size , which we required

Z ----> is z-value for observation

for the confidence of interval level 95% , the Z-value is 1.96 exist.

put all value in above formula we get,

0.02 = 1.96 × sqrt( ( 0.82)(1-0.82)/n)

=> 0.02 = 1.96× √(0.82×0.18/n)

= 0.02/1.96 = √0.1476/n => 0.000104= 0.1476/n

=> n = 1419

So, sample size is large and it is 1419.

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What amount of pure acid must be added to 400 mL of a 40% acid solution to produce a 60% acid solution?

Answers

Answer:

600ml

Step-by-step explanation:

5
link
!!!
MULTIPLE CHOICE QUESTION
Find the distance between (-3,-4) and (2,8).
Hint: plot the points on the coordinate plane and
then use the Pythagorean Theorem.

Answers

The distance between points  (-3,-4) and (2,8) is 13.

What is a right angle triangle?

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees, or it follows Pythagoreans theorem.

The horizontal distance = 5

And the vertical distance = 12

The vertical and horizontal lines make a right angle when they meet,

To find distance between points, use Pythagoreans theorem,

(D)² = (5)²+(12)²

(D)² = 25 + 144

(D)² = 169

D = 13

The distance between points  (-3,-4) and (2,8) is 13.

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a sample of student opinion at a big ten university selects an srs of 200 of the 30,000 undergraduate students and a separate srs of 100 of the 5,000 graduate students. what is the term for this kind of sample?

Answers

The term for this kind of sample is cluster sampling

Given

that, At a major ten university, 200 of the 30,000 undergraduate students and 100 of the 5,000 graduate students are chosen to represent a sample of student opinion.

What is cluster sampling ?

Cluster sampling involves breaking up a population into smaller units called clusters. Then, they randomly select a sample from each of these clusters. Cluster sampling is a probability sampling technique that is frequently used to examine large populations, especially those that are widely geographically dispersed.

Researchers frequently refer to pre-existing groups like cities or schools when referring to clusters. With an SRS of 200 students and an SRS score of 100, clusters have been utilized in this instance. Cluster sampling is the name given to this type of sample as a result.

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a process that fills packages is stopped whenever a package is detected whose weight falls outside the specification. assume that each package has probability 0.04 of falling outside the specification and that the weights of the packages are independent. find the variance of the number of packages that will be filled before the process is stopped.

Answers

The variance of the number of packages that will be filled before the process is stopped will be 600 when the probability of falling outside the specification is 0.04.

What is variance?

Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in relation to the mean the more dispersed the data. In statistics, the variance is used to assess how accurately the mean summarizes all of the data. For instance, more range exists within the set the higher the variance. 

P(fail)=0.04

P(pass)=0.96

variance=(1-P)/P²

=(1-0.04)/0.0016

=0.96/0.0016

variance=600

When the likelihood of falling outside the specification is 0.04, the range of packages that will be filled before the process is stopped is 600.

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Solve the equation x/2 + 1 = 5x​

Answers

Answer:

9/2

Step-by-step explanation:

X/2+1=5x

(X+2)/2=5x

x+2=10x

2=9x

X=9/2

Write the equation of the line that is parallel to the line 14x - 2y = 51 and goes through the point(3, -11)​

Answers

ANSWER: y=7x-33

EXPLANATION: Parallel lines have the same slope but different y intercepts so first turn the eq of the first line into slope intercept form by subtracting -14x and dividing by -2, we get a slope of 7 and we know a parallel line has the same slope so y=7x+b, plug in the values of x and y in the coordinates and add like terms and we get b is equal to -33 so the equation is y=7x-33

Which compound inequality does not belong with the other three? Explain your reasoning.
1) a>4 or a<-3
2) a< -2 or a>8
3) a>7 or a<-5
4) a < 6 or a>-9

PLEASE HELP!

Answers

The a < 6 or a>-9 compound inequality is different than the rest as it involves one interval instead of a reunion of two intervals.

What is compound inequality?

A phrase having two inequality statements connected by the words "or" or "and" is referred to as a compound inequality. The conjunction "and" denotes the simultaneous truth of both truths in the compound phrase. It is when the solution sets for the various assertions to cross over or intersect.

When the word and is used to connect two inequalities, the compound inequality is solved when both inequalities are true at the same time. It is the intersection or overlap of each inequality's solutions.

1)(−∞,−3)∪(4,∞)

2)(−∞,−2)∪(8,∞)

3)(−∞,−5)∪(7,∞)

4)(−∞,6)∪(−9,∞)=(−9,6)

The fourth compound inequality is different than the rest as it involves one interval instead of a reunion of two intervals.

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Find the range of values which satisfy the following:

8x-11>5 and 15(6x+2)>-150
x>

Answer: ______

Answers

The range of values that satisfy the given inequalities, 8x - 11 > 5 and 15(6x+2) > -150, is x > -2 OR x > 2

Solving Linear Inequalities: Determining range of values

From the question, we are to determine the range of values which satisfy the given inequalities.

The given inequalities are

8x - 11 > 5 and 15(6x+2) > -150

To determine the range of values that satisfy the inequalities, we will solve each of the inequalities separately

Solving 8x - 11 > 5

Add 11 to both sides

8x - 11 + 11 > 5 + 11

8x > 16

Divide both sides by 8

8x/8 > 16/8

x > 2

Solving 15(6x+2) > -150

Divide both sides by 15

15(6x+2)/15 > -150/15

6x + 2 > -10

Subtract 2 from both sides

6x + 2 - 2 > -10 - 2

6x > -12

Divide both sides by 6

6x/6 > -12/6

x > -2

Putting the two solutions together,

x > -2 OR x > 2

Hence, the solution is x > -2 OR x > 2

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I need help like asap !!!

only numbers and decimal points ​

Answers

Answer:

b = 8 ft

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ (10)² = b² + (6)²

→ 100 = b² + 36

→ b² = 100 - 36

→ b = √64

→ [ b = 8 ft ]

Hence, value of b is 8 ft.

I NEED HELP!!
Information:
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information:
1. the amount of plant food remaining in the container after each day’s feeding
2. the height of the plant over time
(There was a total of 72 millimeters of plant food)
Question:
Write a function rule for the relationship between the amount of plant food remaining, f(x), and the number of days that have passed, x.

Answers

This relationship is not a function because more than one amount of plant food remains each day.

What is a function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that, Ryan did an experiment by observing the effects of plant food and the growth of the sprouting bean plant. He made a note of the height of the bean plant and the amount of food remaining in the container for the plant after feeding each day.

Thus, he observed that the plant food in the container decreases by an equal amount every day as the bean plant grew. Thus, this states that it is not a  function between the two, as there are more than one plant food remaining each day for the plant.

Hence, This relationship is not a function because more than one amount of plant food remains each day.

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what is the correct postulate to prove these two triangles congruent?

A. SAS
B. ASA
C. SSS
D. AAS
E. HL

Answers

Answer:

SAS

Step-by-step explanation:

By applying the Side Angle Side Postulate (SAS), you can be sure that your two triangles are congruent.

A seasoning blend is 4% onion powder, by mass? How much pure onion powder should they include in a 72g bottle to make the final blend have 20% onion powder.

Answers

Answer:   14.4g of onion powder

Step-by-step explanation:   To get 20% of a number, you need to divide the original amount by 5, so 72 ÷5 is 14.4g

They should include 14.4 grams of onion powder in a bottle.

Given that, a seasoning blend is 4% onion powder, by mass.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let x be the seasoning blend.

Now, 4% of 72=20% of x

⇒ 0.04×72=0.2×x

⇒ 0.2x=2.88

⇒ x=2.88/0.2

⇒ x=14.4 g

Hence, they should include 14.4 grams of onion powder in a bottle.

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a large animal preserve has noticed that an albino panther is born unpredictably once every 8 years; and that can happen at any time of the year. a) what are the expected value and standard deviation of the number of albino panthers which will be born in the next 40 years?

Answers

The expected value of the number of albino panthers is 5

The standard deviation of the number of albino panthers is 2.09

Given that albino panther is born once every 8 years, probability p, of one albino to be born in 8 years is 1/8

Expected value=n*p, where n is 40 years, and p=1/8

                        =40*1/8

                        =5 albino panthers

Hence, the expected value is 5 albino panthers

Standard deviation=(Expected value*(1-p))^1/2

                               =(5*(1-1/8))^1/2

                               =4.375^1/2

                               =2.09

Hence, standard deviation is 2.09

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What is the solution to the following equation?
x² + 3x + 7 = 0

A. x= 3+-√25/2
B. x= -3+-√37/2
C. x= -3+-√²7/2
D. x= -3+-√-19/2

Answers

Answer: D

Step-by-step explanation:

Answer:   Choice D

[tex]x = \frac{-3\pm\sqrt{-19}}{2}\\\\[/tex]

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

Explanation:

Compare the given equation x² + 3x + 7 = 0 to ax² + bx + c = 0 to find that,

a = 1b = 3c = 7

Those values are plugged into the quadratic formula to get the following:

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-3\pm\sqrt{(3)^2-4(1)(7)}}{2(1)}\\\\x = \frac{-3\pm\sqrt{-19}}{2}\\\\[/tex]

which points us to choice D being the final answer.

--------------

Side note:

The discriminant [tex]d = b^2 - 4ac = (3)^2-4(1)(7) = -19[/tex] is negative, so there are no real solutions. Instead, the two solutions are non-real complex numbers.

What is an equation of the line that passes through the points (6,2) and (7,1)?

Answers

The equation of the line that passes through the points (6,2) and (7,1) is y = -x+8

The points are

(6,2) and (7,1)

The slope of the line is the change in y coordinate with respect to the change in x coordinate of the function.

The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the value in the equation

The slope of the line = (1-2) / (7-6)

= -1/1

=-1

The point slope form is

[tex](y-y_1)=m(x-x_1)[/tex]

Choose one point and substitute the values in the equation

y-2 = -1(x-6)

y-2 = -x+6

Move the 2 to right hand side of the equation

y = -x+6+2

y = -x+8

Hence, the equation of the line that passes through the points (6,2) and (7,1) is y = -x+8

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Jade's Gem Shop is having its annual spring sale, when every item in the store gets marked down. During the sale, charm bracelets sell for $4 less than full price. Kristen purchases 5 identical charm bracelets: one for each of her friends. She pays a total of $45. Which equation can Kristen use to find how much money, c, each charm bracelet costs at full price?

Answers

Answer:

5(c−4)=45

5c - 20 = 45

5c = 45+20

5c = 65

c = 13

The full price of the bracelets was $13.

Step-by-step explanation:

Other Questions
BD = 5, CX = 3, CD = 5what does BC equal Question 3Based on the image, what would be the appropriate response to the following question:Cmo son?O Ellas son rubias y cmicas.O Ellas son rubios y cmicos.O Ellas son rubias y cmica.O Ellas son rubia y cmico. president baggins refuses to turn over e-mails he exchanged with a staffer relating to the theft of certain valuables. which presidential power is he using? 12u9u5u+13= -5find u HELP!I will name you the BRAINLIEST!The thing is in the photo.I do not understand it because it looks like it has "!" Please help. please help. what is the equation?? Brianna reads the following paragraph from a short story.As Cole watched Feiyan receive her first-place trophy for winning the chess tournament, he couldnt help but beam proudly. He didnt defeat Feiyan this time; she had defeated him in a hard-fought, complicated game. He had trained her well over myriad afternoons in their after-school chess club. And now he looked forward to the challenge that would await him in next years tournament.Which detail in the text supports the theme that happiness can be found in another persons success? During the English Renaissance, humanistic ideals placed an emphasis on subjects such as love,science, and philosophy. In what ways do you see humanism reflected in John Donne's "AValediction: Forbidding Mourning"? Identify and analyze two examples from the poem that illustrateJohn Donne's engagement with humanist themes, evaluating their impact on the reader. Participation in sports can affect a child's self-esteem. What is a TRUE statement about the effects of sports on self-esteem?OA. Success in sports has a greater impact on self-esteem than artistic accomplishments.OB. It is advantageous for a parent to push a child toward a particular sport or activity.OC. Playing sports as a child can help promote higher self-esteem and lessen depression.O D. Involvement in sports has shown to have an especially negative impact on teen girls. Write the coordinates of the vertices after a rotation 270 counterclockwise around the origin.T=U=V=W= shawn is the only employee over age 65 in his workplace. though he is competent, his younger colleagues and his boss consider him slow and incapable of good performance. shawn is anxious and under tremendous pressure. consequently, he is unable to meet his target and his productivity is low. in the context of psychology, shawn seems to have responded to: Caleb solved this equation and recorded his work.7.4x + 4.1(2x 4) = 2.3(x 6) 21.61. 7.4x + 8.2x 16.4 = 2.3x + 13.8 21.62. 15.6x 16.4 = 2.3x + 35.43. 17.9x 16.4 = 35.44. 17.9x = 51.85. x 2.89When Caleb verified his solution, it didnt work. What mistake did he make?In step 1, the distributive property was not used properly on the right side of the equation.In step 2, the like terms were not combined properly on the right side of the equation.In step 3, the addition property of equality was not used properly to isolate the variable term.In step 5, the division property of equality was not used properly to solve for x.hurry pls :,) What would be the result of a cell that completed mitosis but did not successfully complete cytokinesis?A-Two genetically different daughter cellsB-One large cell with two nucleiC -One daughter cell with two nuclei and one with no nucleusD-Two genetically identical daughter cells Read this excerpt from The Great Fire.One of the first business structures up and open was William Kerfoot's real estate office. The crudely painted sign on his shack could be seen as a guiding motto for the rest of the fire victims: "All gone but wife, children, and energy."As the days crept by, more and more people shook off their despondency and began to rebuild their homes and businesses. The energy to start all over seemed to be catching.Which theme about heroism does this excerpt reflect?It is heroic to communicate to the masses by putting up a sign.It is heroic to inspire others by being strong in the face of destruction.It is heroic to give your belongings to others who are suffering.It is heroic to inspire others by helping build homes for them. a bakery worker uses 175 cups of sugar to make 100 cinnamon rolls. at this rate, how many cups of sugar would be needed to make 1 cinnamon roll? Render only supports Node/Express servers. I WILL GIVE BRAINLIEST!Shamar belongs to a movie club that deducts $14 every month from his bank account. What is the change in Shamar's bank account after 7 months of paying for the movie club? Which European country still holds land in South America? Responses Ecuador Guyana Suriname French Guiana in asch's famous research study, participants agreed with people making an incorrect choice in a line length judgment task. this study is a classic study of a client is considering the options available for their child's health insurance coverage in the marketplace provided by the affordable care act, but the client is worried because the child has a preexisting diagnosis of diabetes. what should the nurse tell the client about preexisting conditions and the affordable care act?