What transformations take place by graphing the function below in respect to its parent function? Check all that apply.

What Transformations Take Place By Graphing The Function Below In Respect To Its Parent Function? Check

Answers

Answer 1

Answer:

y = x² is the parent

y = 3/2(x+7)²+2 shifts 7 u left, up 2 u, and has vertical compression

What Transformations Take Place By Graphing The Function Below In Respect To Its Parent Function? Check
Answer 2

Answer:

Right 7 unitsUp 2 unitsVertical Stretch

Step-by-step explanation:

Given the function, f(x) = 3/2(x + 7)² + 2,

where:

a = 3/2

vertex (h, k ) = (7, 2)

The value of a determines whether the graph opens up or down. The value of a  also makes the parent function wider or narrower (vertical stretch by a factor of a ).  If a > 1, the graph is narrower than the parent function. The value of h determines how far left or right the parent function is translated. If h is positive, the function is translated h units to the right. The value of k determines how far up or down the parent function is translated.  If k is positive, the function is translated k units up.

 

Given these descriptions, we can assume that:

The function is vertically translated  by 2 units upward. The function is horizontally translated  by 7 units to the right.Vertical stretch by a factor of 3/2 (or 1.5).

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Related Questions

When we have a distribution of a variable, we know or have a sense of two qualities. Select the two qualities: How often we observe each of the possible values of a variable. - The experimental units involved in the study.- The explanatory and response variables of a study. - The possible values the variable can take on.- The observational units involved in the study

Answers

The possible values the variable can take on and how often we observe each of the possible values of a variable.

The possible values the variable can take on and how often we observe each of the possible values of a variable.

A distribution of a variable describes the possible values the variable can take on and how often we observe each of the possible values of a variable. It does not describe the experimental units involved in the study or the explanatory and response variables of a study, nor does it describe the observational units involved in the study. The possible values the variable can take on and how often we observe each of the possible values of a variable.

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(Combining Equations)What is the result of adding these two equations ? 5x - y = 6 -2x + y = 8

Answers

Answer:

3x=14

Explanation:

Given the two equations:

\(\begin{gathered} 5x-y=6 \\ -2x+y=8​ \end{gathered}\)

Adding the two equations gives:

\(\begin{gathered} \lbrack5x+(-2x)\rbrack+\lbrack-y+y\rbrack=6+8 \\ \lbrack5x-2x\rbrack+0=14 \\ 3x=14 \end{gathered}\)

3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara​

Answers

The time Jack left Santa Clara is 1 : 55 pm

What is word problem?

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Simplify 3x + 3 + 2

3x+5

5x+3

8×​

Answers

Answer:

3x+5

Step-by-step explanation:

In 1955, Life Magazine reported that the 25 year-old mother of three worked, on average, an 80 hour week. Recently, many groups have been studying whether or not the women's movement has, in fact, resulted in an increase in the average work week for women (combining employment and at-home work). Suppose a study was done to determine if the mean work week has increased. 81 women were surveyed with the following results. The sample mean was 83; the sample standard deviation was ten. Does it appear that the mean work week has increased for women at the 5% level?

Answers

Yes, it appear that the mean work week has increased for women at the 5% level.

Has the mean work increased?

We are informed that a 25-year-old mother of three worked an average of 80 hours per week according to a 1955 Life Magazine report.

Imagine a study was conducted to find out if the average workweek has risen. The results of a survey given to 75 women are as follows. The sample's standard deviation was 10, and the sample's mean was 83. It should be noted that the test statistic is 2.598.

Now, at 5% level of significance the t table gives critical value of 1.668 at 74 degree of freedom for one-tail test. Since our test statistics is more than the critical value of t as 2.598 > 1.668, so we have sufficient evidence to reject our null hypothesis as the test statistics will fall in the rejection region.

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Your house had a value of $180,000 and increased in value by 2.5%. How much is your house worth now?

Answers

Answer: 184,500

Hope i could help

Benecio worked 40 hours at his two jobs last week. He earned $20 per
hour at his weekday job and $18 per hour at his weekend job. He
earned $770 in all. How many hours did he work at each job?

Answers

Answer:

25 hours on his week job and 15 hours on his weekend job

Steps

20 times 25 is 500 for pay

18 times 15 is 270  for pay

Just add them

500 plus 270 equals 770 for pay

And 15 plus 25 is 40 total in hours

Solution:V=2Em(b) If E = 125, 000 Joules of energy, and the mass of the object is 25 kilograms, find the velocity, V.Show your work here:Answer:= m/s

Solution:V=2Em(b) If E = 125, 000 Joules of energy, and the mass of the object is 25 kilograms, find

Answers

Answer:

100m/s

Explanations

Given the formula for calculating the velocity expressed as:

\(v=\sqrt[]{\frac{2E}{m}}\)

Given the following parameters:

Energy "E" = 125,000 Joules

mass "m" = 25kg

Substituting the given parameters into the formula

\(\begin{gathered} v=\sqrt[]{\frac{2(125000)}{25}} \\ v=\sqrt[]{\frac{250000}{25}} \\ v=\sqrt[]{10,000} \\ v=100m\text{/s} \end{gathered}\)

Therefore the velocity of the object is 100m/s

Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

To find the volume of a pyramid with a square base, you can use the formula:

Volume = (1/3) * base area * height

In this case, the base of the pyramid is a square with a side length of 10.6 inches, so the base area can be calculated as:

Base area = side length * side length

Let's calculate the base area first:

Base area = 10.6 in * 10.6 in

Next, we'll substitute the values into the volume formula:

Volume = (1/3) * (10.6 in * 10.6 in) * 12.3 in

Calculating this expression will give us the volume of the pyramid. Rounding the answer to the nearest tenth of a cubic inch will provide the final result.

Help

Identify the equation that represents a quadratic relationship
y =4x^2
y =4x^4
y =4x^3
y =4

Answers

The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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A Traveler arrived at his final destination on February 11, 2021 at 2:30pm. The traveler departed 72 hours earlier traveling East from a time zone that is eight hours behind tha arrival time zone

On what day and at what time did the traveller depart?​

Answers

9514 1404 393

Answer:

  Feb 8, 2021, at 6:30 am

Step-by-step explanation:

The time of arrival, as seen from the point of departure, is 8 hours earlier than 2:30 pm, so is 14:30 -8:00 = 6:30 (am), on Feb 11. Three days (72 hours) before that time is ...

  6:30 am on Feb 8, 2021

-67 = 6x - 1

Find x please!​

Answers

Answer:

X=-11

Step-by-step explanation:

-67+1=6x

6x=-66

x=-11

you cancel the 1 from the right side and add it to the left then divide -66 by 6

the answer is -11

The temperature of a mixture changes by -5.2 Fahrenheit between 8am and 11am. At 6pm the temperature is 14.5 Fahrenheit, which is half of what it was at 11am. What was the temperature at 8am of the mixture. I have this equation , but not sure is correct. 1/2(x-6.8)= -3.1

Answers

Explanation

Let us have a sketch of the question

If the temperature at 6 pm is 14.5 F

And the temperature at 11am is twice that of 6pm

Then the temperature at 11am will be

\(2\times14.5F=29F\)

Since the temperature of a mixture changes by -5.2 Fahrenheit between 8 am and 11 am.

Then the temperature at 8 am will be

\(\begin{gathered} \theta_{11am}-\theta_{8am}=-5.2 \\ 29F-\theta_{8am}=-5.2F \\ \theta_{8am}=29F+5.2F \\ \theta_{8am}=34.2F \end{gathered}\)

Therefore, the temperature at 8 am will be 34.2 F

The temperature of a mixture changes by -5.2 Fahrenheit between 8am and 11am. At 6pm the temperature

What will be the end result for the taxpayer who filed her federal income tax



return using the 1040EZ form shown below?



381100



400 00



Dorronts



Federal income tax withheld from Formis) W-2 and 1090



wheel back)

Answers

Answer:

The answer is, she will receive a refund of $152

Step-by-step explanation:

Based on the information, it can be inferred that Susan can receive a 100% refund of the taxes that were erroneously charged to her.

What are taxes?

A tax is a mandatory payment or charge collected by local, state, and national governments from individuals or businesses to cover the costs of general government services, goods, and activities.

The amount that Susan can receive as a refund :-

According to the previous information we can infer that the government can refund 100% of the money that she wrongly contributed to her taxes.

This is because this return does not have a %, but is equivalent to the excess contributions that she made.

Due to the above, we can affirm that she can receive all the surpluses that she contributed without any type of withholding or percentage.

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The sum of two integers is 9. Their difference is 5.
What are the two integers?
A 7 and 12
B-7 and 16
C -12 and -7
D 2 and 7

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( D )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Look :

\(7 + 2 = 9\)

\(7 - 2 = 5\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

It’s D because 7+2 is 9 and they are 5 numbers apart therefore the difference is 5a

A rational number
A. can be a fraction that is not a whole number.
B. must be positive.
C. cannot be a whole number
D. is always an integer.​

Answers

Answer:

I think it's d

Step-by-step explanation:

−3/7 is a rational number, as is every integer.

PLEASE HELP ME

What is the answer to this



PLEASE HELP MEWhat is the answer to this

Answers

Answer:

Step-by-step explanation:

7x6=42

Answer: 42

Step-by-step explanation:

In blank box - 7

6*7

=42

if the letter l,o,g,ic are randomnly arranged to form word logic what is the probability that result will be woord logic

Answers

The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

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A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into a nutrient broth, the culture grows at a rate proportional to its size. After 1.5 hours, the population has increased to 875. (a) Find an expression for the number of bacteria after t hours. (Round your numeric values to four decimal places.) P(t) = (b) Find the number of bacteria after 7 hours. (Round your answer to the nearest whole number.) P(7) = bacteria (c) Find the rate of growth (in bacteria per hour) after 7 hours. (Round your answer to the nearest whole number.) P'(7)= bacteria per hour (d) After how many hours will the population reach 250,000? (Round your answer to one decimal place.) t = hr

Answers

a) An expression for the number of bacteria after t hours - \(50e^{0.8t}\)

b) The number of bacteria after 7 hours, P(7)=13521.320

c) The rate of growth (in bacteria per hour) after 7, P(t)=1081.705

d) The population will reach 250,000 after - 4.6hours.

a)The exponential growth model is \(P = P_{0} e^{rt}\)

Where,

\(P_{0}\) = Initial growth

r = growth rate

t = time period

It is given that initially cells, \(P_{0}\) = 50

time period, t = 1.5 hours

Population after t = 1.5 hours is , P =875

Substitute the given values in the growth exponential model:

      875 = \(50 e^{r * 1.5}\)

 ⇒  \(\frac{875}{50}\) =  \(e^{r * 1.5}\)

 ⇒ 17.5 = \(e^{r * 1.5}\)

 ⇒ log (17.5 ) = log (\(e^{r * 1.5}\) )

 ⇒ log (17.5 ) = 1.5r

 ⇒ 1.24 = 1.5r

 ⇒ r = \(\frac{1.24}{1.5}\)

    r = 0.8%

Thus, P(t) = \(50e^{0.8t}\)

b) Number of bacteria after 7 hours is calculated as follows:

    P(7) = \(50 e^{0.8 * 7}\)

    P(7 ) = 13521.320

c) The rate of growth (in bacteria per hour) after 7 hours:

  P(t) = \(50e^{0.8t}\)

Differentiate w.r.t :

  P(t) = 50 × \(0.8e^{0.8t}\)

       = 50 × \(0.8e^{0.8 * 7}\)

      = 1081.705

d) The population at time t is P(t) = 250000

     250000 = \(50e^{0.8t}\)

  ⇒   \(\frac{250000}{50}\)  =\(e^{0.8t}\)

  ⇒  5000 = \(e^{0.8t}\)

 ⇒ 0.8t = 3.7

 ⇒  t = 4.6

a) An expression for the number of bacteria after t hours - \(50e^{0.8t}\)

b)The number of bacteria after 7 hours, P(7) = 13521.320

c) The rate of growth (in bacteria per hour) after 7, P(t) =  1081.705

d) The population will reach 250,000 after - 4.6hours.

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In interest rate 6% in 2500$ in year when go to investment at the end how many amount of 3 yrs and 5 months in simple interest ?

Answers

Answer: So, after 3 years and 5 months, the total amount of simple interest earned on an investment of $2500 at a 6% interest rate would be $525.

Step-by-step explanation:

To calculate the simple interest on an investment of $2500 at a 6% interest rate for 3 years and 5 months, you would use the formula:

Simple Interest = (Principal x Interest Rate x Time in Years)

In this case, the time in years would be 3.5 (3 years and 5 months)

Simple Interest = (2500 x 0.06 x 3.5) = $525

So, after 3 years and 5 months, the total amount of simple interest earned on an investment of $2500 at a 6% interest rate would be $525.

Solve 2^x-2=8^4 but not solving for x

Answers

Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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The following data represent the weights (in grams) of a
random sample of 50 candies
(a) Determine the sample standard deviation weight
SH gram
(Round to two decimal places as needed)
0.98
0.85
0.92
0.98
0.71
Part 1 of 6
0.88
0.86
0.75
0.85
0.85
0.86
0.78
0.75
0.75
0.74
Cm
0.82
0.85
0.91
0.78
0.72
O
081
0.81
0.81
0.81
0.84
Points: 0 of 4
087
0.85
0.89
0.77
0.85
0.97
0.74
0.89
0.82
0.86
0.82
084
0.91
0.87
0.94
0.85
0.71
0.83
0.87
0.94
0.81
0.81
0.78
0.77
0.85

Answers

The sample standard deviation weight of the 50 candies is, 0.07 grams.

What is standard deviation ?

The amount of variation or dispersion in a set of data values is measured by standard deviation. A statistical calculation is used to determine how far the values vary from the mean (average) value. While a high standard deviation suggests that the data values are more dispersed, a low standard deviation suggests that the data values tend to be close to the mean.

To find the sample standard deviation weight,

we can use the formula:

\(s = \sqrt{((1/(n-1))} \sum((x - \bar x)^{2} ))\)

where n is the sample size, x is the weight of each candy, \(\bar x\) is the sample mean weight, and sum() means to add up the values.

We can first find the sample mean weight:

\(\bar x\)= (0.98 + 0.85 + 0.92 + 0.98 + 0.71 + 0.88 + 0.86 + 0.75 + 0.85 + 0.85 + 0.86 + 0.78 + 0.75 + 0.75 + 0.74 + 0.82 + 0.85 + 0.91 + 0.78 + 0.72 + 0.81 + 0.81 + 0.81 + 0.84 + 0.87 + 0.85 + 0.89 + 0.77 + 0.85 + 0.97 + 0.74 + 0.89 + 0.82 + 0.86 + 0.82 + 0.84 + 0.91 + 0.87 + 0.94 + 0.85 + 0.71 + 0.83 + 0.87 + 0.94 + 0.81 + 0.81 + 0.78 + 0.77 + 0.85) / 50

\(\bar x\) = 0.8456

Next, we can calculate the sample standard deviation:

s = √((1/(50-1)) x ((0.98-0.8456)² + (0.85-0.8456)² + ... + (0.77-0.8456)² + (0.85-0.8456)²))

s = sqrt(0.0045916)

s = 0.0678

Rounding to two decimal places, the sample standard deviation weight is 0.07 grams.

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How do you put extra effort into your papers to make them "high quality?" What new strategies have you learned in this lesson that you can apply to your next paper?

Answers

Answer:

This is what I put:

"Putting extra effort into your work would include actions like using synonyms, avoiding too many contractions (words like "can't" or "don't" in grammar), and refraining from including your opinion in order to stay professional (unless the topic requires it). The "6 Trait Philosophy/Writing" strategy is what I plan to use in future papers. This strategy contains the 6 "steps" or "tips" for better writing, which are organization, conventions, ideas, fluency, voice, and word choice. And, of course, the standard formatting guidelines."

Step-by-step explanation:

I got 100% on Edge.

Answer:

"Putting extra effort into your work would include actions like using synonyms, avoiding too many contractions (words like "can't" or "don't" in grammar), and refraining from including your opinion in order to stay professional (unlin ess the topic requires it). The "6 Trait Philosophy/Writing" strategy is what I plan to use in future papers. This strategy contains the 6 "steps" or "tips" for better writing, which are organization, conventions, ideas, fluency, voice, and word choice. And, of course, the standard formatting guidelines."

Step-by-step explanation:

Please help will mark as brainliest if correct

Please help will mark as brainliest if correct

Answers

Answer:

B)  29.6°

Step-by-step explanation:

it's a right triangle so you can use SOA CAH TOA

in this case we would use cosine because we know the adjacent and the hypotenuse

arccosФ = 20/23 = 29.59

Terry is the school swimming champion and has won several races. If the ratio of the number of times he's won to the number of races he has swum in is 2 : 3, how many races has he won?

Answers

The given information tells us that Terry's wins-to-races ratio is 2:3, but we cannot determine the exact number of races he has won without additional information about the total number of races he has participated in.

If the ratio of the number of times Terry has won to the number of races he has swum in is 2:3, we can set up a proportion to determine the number of races he has won.

Let's denote the number of times Terry has won as x, and the total number of races he has swum in as y. According to the given ratio, we have:

x/y = 2/3

To find the value of x, we need to solve for x when y is known. Since y represents the total number of races, we don't have that information in the given problem. Therefore, we cannot determine the exact number of races Terry has won without knowing the total number of races he has participated in.

The ratio tells us the relationship between the number of wins and the total number of races, but without knowing the denominator (total races), we cannot find a specific value for the numerator (number of wins). We can only determine the ratio between the two quantities.

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Mabel, Adeline and Charlie share 34500ft2 of land Mabel ownes 26%of the land area and Adeline Owens 47% of the land area . What is the land area that charlie owns ?

Answers

Answer:

Charlie owns 9,315 ft2 of the land area

Step-by-step explanation:

There are 34,500 ft2 of land shared between Mabel, Adeline, and Charlie.

Mabel owns 26% of the land area, that is:

26*34,500 ft2 / 100 = 8,970 ft2

Adeline owns 47% of the land area, or:

47*34,500 ft2 / 100 = 16,215 ft2

The land owned by Mabel and Adeline is: 8,970 ft2 + 16,215 ft2 = 25,185 ft2

Since the total area land is 34,500 ft2, Charlie owns:

34,500 ft2 - 25,185 ft2 = 9,315 ft2

Charlie owns 9,315 ft2 of the land area

Which is a better estimate for the weight of a double-decker bus

Answers

Step-by-step explanation:

Coaches are typically sized to a height of 4.38 meters, whereas 'high-bridge' vehicles are usually around 20 centimeters higher. At an average height of 18.65 metres, integrated double-deckers are often permitted .

Which of the following is an example of a proper fraction?
A.7/6
B.3/4
C.4/4
D.4/3

Answers

Answer: B

Step-by-step explanation:

A proper fraction is when a fraction has the numeration less than the denominator

At an arcade, a book of 20 tickets costs $5, a book of 30 tickets costs $7, and a book of 50 tickets costs $10. Would a graph of the relationship between price and number of tickets in a book be a straight line? Explain.

Answers

Answer:

yes

Step-by-step explanation:

In the diagram below, AB is parallel to CD. What is the value of y?AAΓνB72εDΑ. 82Β. 72Ο Ο Ο ΟC. 108D. 128

Answers

\(\begin{gathered} y+72=180\text{ (sum of angles on a straight line)} \\ y=180-72 \\ y=108^0 \end{gathered}\)

Hence, the correct option is Option C.

In the diagram below, AB is parallel to CD. What is the value of y?AAB72D. 82. 72 C. 108D. 128
Other Questions
van will graduate from great state university this year. he has accumulated $39,000 in student loans during his four years at college. an accountant would classify the loans as 4(x - 7) = 4x - 28what propertycommutative identity associative distributive Which quotation from the passage best supports the theme that looks can be deceiving?"Once upon a time there was a prince who wanted to marry a princess; but she would have to be a real princess.""There were princesses enough, but it was difficult to find out whether they were real ones. . . . So he came home again and was sad.""One evening a terrible storm came on; there was thunder and lightning, and the rain poured down in torrents.""The water ran down from her hair and clothes; it ran down into the toes of her shoes and out again at the heels." Qu es la urea?(Si no sabes no Respondas) PLEASE HELP WILL MARK BRAINLIEST!(MC)Read the following passage and answer the questions that follow:Doctor Pascalby Emile ZolaIn the heat of the glowing July afternoon, the room, with blinds carefully closed, was full of a great calm. From the three windows, through the cracks of the old wooden shutters, came only a few scattered sunbeams which, in the midst of the obscurity, made a soft brightness that bathed surrounding objects in a diffused and tender light. It was cool here in comparison with the overpowering heat that was felt outside, under the fierce rays of the sun that blazed upon the front of the house.Standing before the press which faced the windows, Dr. Pascal was looking for a paper that he had come in search of. With doors wide open, this immense press of carved oak, adorned with strong and handsome mountings of metal, dating from the last century, displayed within its capacious depths an extraordinary collection of papers and manuscripts of all sorts, piled up in confusion and filling every shelf to overflowing. For more than thirty years the doctor had thrown into it every page he wrote, from brief notes to the complete texts of his great works on heredity. Thus it was that his searches here were not always easy. He rummaged patiently among the papers, and when he at last found the one he was looking for, he smiled.For an instant longer he remained near the bookcase, reading the note by a golden sunbeam that came to him from the middle window. He himself, in this dawnlike light, appeared, with his snow-white hair and beard, strong and vigorous; although he was near sixty, his color was so fresh, his features were so finely cut, his eyes were still so clear, and he had so youthful an air that one might have taken him, in his close-fitting, maroon velvet jacket, for a young man with powdered hair.The passage implies that Dr. Pascal is which kind of character? (5 points)Group of answer choicesA nervous and unsure personA scatterbrained and angry geniusA well-disguised villainA patient and scholarly man how many payment transactions does a consumer make in a typical month Help!!!!!! Pleaseeeee! The surface area of a cube with side 4 cm is diversion programs have a strong theoretical background based firmly on the ________ perspective. Triangles ABE, ADE, and CBE are shown on the coordinate grid, and all the vertices have coordinates that are integers002E3402A-2Which statement is true?No two triangles are congruent.Only Triangles ABE and CBE are congruent.only triangles ABE and ADE are congruenttriangles ABE, ADE, and CBE are all congruent For whThe area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room.Which equations can be used to solve for y, the length of the room? Select three options.y(y + 5) = 750y2 5y = 750750 y(y 5) = 0y(y 5) + 750 = 0(y + 25)(y 30) = 0 ab=100 -10+1a+b=1+10 calcular: P = (a-b)-(a+b) Put these fractions in order of size, smallest to largest.1/4 1/2 1/3 Maria and Connor are doing yard work for a neighbor. They make a total of $603.99. Since Connor works more hours than Maria, Connor gets 71% of the money. About how much (in whole dollars) does Connor make? What is the meaning of life (no right or wrong answers just want to see people's different pov's) Tabatha was looking into switching coffee products when her group of friends suggested she check out the local coffee shop that sold a house blend that they liked. Tabatha was influenced by her friends and accompanied them to the coffee shop to try out the house blend. She liked it and purchased a bag to take home. The local coffee house had created an atmosphere and following of fans by offering a free cup if a regular brought in a friend. The coffee shop targeted its marketing using what type of approach When a seller lists his or her home with a licensee and the property does not go under contract or if the client does not agree to extend the time of the listing, then the listing will The Jones family went on vacation and drove 130 miles in 2 hours. If they keep driving at the same speed without stopping, what is the total time it will take them to drive 650 miles Amanda Company accumulates the following data concerning a mixed cost, using units produced as the activity level. Units Produced Total Cost March 10,700 $17,100 April 9,030 17,050 May 11,200 18,670 J Solving a differential equation using the Laplace transform, you find Y(s) = L{y} to be Y(s) = (4s / s^2 + 36) + (25 / s^2 + 25) + (1/s-4)Find y(t). y(t) = ______