Simplify | 2.35 – 4.89 | + | 8.39 – 3.72 |.

Answers

Answer 1

Answer:

2.13

Step-by-step explanation:

Answer 2
\({\underbrace{\sf{7.21}} }\)

Step-by-step explanation:

\(| 2.35 – 4.89 | + | 8.39 – 3.72 |\\\\|-2.54|+|4.67|\\\\2.54+4.67\\\\\boxed{\underline{7.21}}\)


Related Questions

2 apples cost 2 dabloons.
How much does 1 apple cost

Answers

it only costs 1 dabloon

Which is greater.
3.65 x 10-8 or 3.65 x 10-7

Answers

3.65 x 10-7 is the correct answer I believe

Answer:

3.65 x 10-7

Step-by-step explanation:

The equation 9(u – 2) 1. 5u = 8. 25 models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill. Which is the value of u?.

Answers

The value of "u" is approximately 2.5. isolate the variable term by adding 18 to both sides 26.25.

To find the value of "u" in the equation 9(u - 2) + 1.5u = 8.25, we can solve for "u" by simplifying and solving the equation.

Let's simplify the equation step by step:

9(u - 2) + 1.5u = 8.25

Start by distributing 9 to the terms inside the parentheses:

9u - 18 + 1.5u = 8.25

Combine like terms:

10.5u - 18 = 8.25

Next, isolate the variable term by adding 18 to both sides:

10.5u = 8.25 + 18

10.5u = 26.25

To solve for "u", divide both sides of the equation by 10.5:

u = 26.25 / 10.5

u ≈ 2.5

Therefore, the value of "u" is approximately 2.5.

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Drag the tiles to thDrag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the slopes and the y-intercepts to the lines of best fit on the scatter plots.
The rate of change is ,
and the initial value is .
The rate of change is ,
and the initial value is .
The rate of change is ,
and the initial value is .
The rate of change is ,
and the initial value is .
The rate of change is ,
and the initial value is .
Graph shows line and 7 points plotted on a coordinate plane. Line goes through (0, 3) and (5, 6). Points are approximately at (1, 3.8), (2, 4), (3, 4.5), (4, 5.5), (5, 6.1), (6, 6.1), and (7, 7).
arrowRight
Graph shows downward right slant line and 7 closed points plotted on a coordinate plane. The line from (0, 5) till (8, 0.2). Points are approximately at (1, 4.8), (2, 4), (3, 2.9), (4, 2.8), (5, 1.9), (6, 1.2), and (7, 1).
arrowRight
Graph shows line and 4 points plotted on a coordinate plane. Line goes through (0, 5) and (3, 10). Points are approximately at (1, 6.5), (1.9, 8.5), (3.1, 9.8), and (4, 12).
arrowRight
Graph shows line and 5 points plotted on a coordinate plane. Line goes through (0, 5) and (3, 0). Points are approximately at (0.8, 4), (1, 3.1), (1.6, 2.6), (1.9, 1.4), and (2.8, 0.8).
arrowRight
e correct boxes to complete the pairs. Not all tiles will be used.
Match each equation with its y-intercept.

Answers

The rate of change (slopes) and initial value (y-intercepts) are as follows:

The initial value is 20, and the rate of change is -5.The initial value is 20, and the rate of change is 4.The initial value is 15, and the rate of change is -3. The initial value is 15, and the rate of change is 5.

What is a scatter plot?

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

What is a line of best fit?

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

By critically observing the graph which models the given data, we can logically deduce the following rate of change (slopes) and initial value (y-intercepts):

The initial value is 20, and the rate of change is -5.The initial value is 20, and the rate of change is 4.The initial value is 15, and the rate of change is -3. The initial value is 15, and the rate of change is 5.

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Drag the tiles to thDrag the tiles to the correct boxes to complete the pairs. Not all tiles will be
Drag the tiles to thDrag the tiles to the correct boxes to complete the pairs. Not all tiles will be

find the curve in the xy-plane that passes through the point (4,5) and whose slope at each point is 3sqrt(x)

Answers

The curve that passes through (4, 5) and has a slope of 3√x at each point is given by y = (\(2x^{3/2}\) + 5 -  2\((4)^{3/2}\)

To find the curve that passes through (4, 5) and has a slope of 3√x at each point, we can integrate the derivative of y with respect to x, which gives us the original function y(x):

\(\frac{dy}{dx}\) = 3√x

Integrating both sides with respect to x, we get:

y = (\(2x^{3/2}\)) + C

where C is a constant of integration.

We can use the point (4, 5) to solve for C:

5 = 2\((4)^{3/2}\) + C

C = 5 - 2\((4)^{3/2}\)

Substituting this value of C, we get the final equation for the curve:

y =  (\(2x^{3/2}\)) + 5 -  2\((4)^{3/2}\)

Therefore, The curve that passes through (4, 5) and has a slope of 3√x at each point is given by y = (\(2x^{3/2}\) + 5 -  2\((4)^{3/2}\)

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Abdurrahman wants to go to the movies ($11.00) and get popcorn ($4.50) and a coke ($2.95). He asks for at most $20.00. His dad gives him $18.00.

T/F Abdurrahman got what he asked for.

Select one:
True
False

Answers

Answer:

True

Step-by-step explanation:

1) Add up the cost of all items.

11+4.50+2.95=18.45

2) Compare with 18.

18.45>18

Therefore, Abdurrahman got what he asked for.

How do you interpret a p-value in the context of a word problem? Please provide a few examples!

Answers

Interpreting a p-value in the context of a word problem involves understanding its significance and its relationship to the hypothesis being tested.

The p-value represents the probability of obtaining the observed data (or more extreme) if the null hypothesis is true.

Here are a few examples of interpreting p-values in different scenarios:

1. Hypothesis Testing Example:

Suppose you are conducting a study to test whether a new drug is effective in reducing blood pressure.

The null hypothesis (H0) states that the drug has no effect, while the alternative hypothesis (Ha) states that the drug does have an effect.

After conducting the study, you calculate a p-value of 0.02.

Interpretation: The p-value of 0.02 indicates that if the null hypothesis (no effect) is true, there is a 2% chance of observing the data (or more extreme) that you obtained.

Since this p-value is below the conventional significance level of 0.05, you would reject the null hypothesis and conclude that there is evidence to support the effectiveness of the drug in reducing blood pressure.

2. Acceptance Region Example:

Consider a manufacturing process that produces light bulbs, and the company claims that the defect rate is less than 5%.

To test this claim, a sample of 200 light bulbs is taken, and 14 of them are found to be defective.

The hypothesis test yields a p-value of 0.12.

Interpretation: The p-value of 0.12 indicates that if the true defect rate is less than 5%, there is a 12% chance of obtaining a sample with 14 or more defective light bulbs.

Since this p-value is greater than the significance level of 0.05, you would fail to reject the null hypothesis.

There is not enough evidence to conclude that the defect rate is different from the claimed value of less than 5%.

3. Correlation Example:

Suppose you are analyzing the relationship between study time and exam scores.

You calculate the correlation coefficient and obtain a p-value of 0.001.

Interpretation: The p-value of 0.001 indicates that if there is truly no correlation between study time and exam scores in the population, there is only a 0.1% chance of obtaining a sample with the observed correlation coefficient.

This p-value is very low, suggesting strong evidence of a significant correlation between study time and exam scores.

In all these examples, the p-value is used to assess the strength of evidence against the null hypothesis.

It helps determine whether the observed data supports or contradicts the hypothesis being tested.

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Consider the following function.
f(x) = 2x^3 + 3x^2 − 36x
(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)
x =

Answers

For f(x) = 2x^3 + 3x^2 - 36x, the critical numbers of function f is x = -3, 2.

To find the critical numbers of the function follow these steps:

The function provided in the question is f(x) = 2x^3 + 3x^2 - 36x. Hence,

1. Find the first derivative of f(x), f'(x).

2. Set f'(x) equal to 0 and solve for x.

Step 1: Find the first derivative of f(x), f'(x).

f'(x) = d(2x^3 + 3x^2 - 36x)/dx

f'(x) = 6x^2 + 6x - 36

Step 2: Set f'(x) equal to 0 and solve for x.

6x^2 + 6x - 36 = 0

To solve for x, first, factor out the common factor of 6:

6(x^2 + x - 6) = 0

Now, factor the quadratic equation:

(x + 3)(x - 2) = 0

The critical numbers of f are x = -3 and x = 2. So, the comma-separated list of critical numbers is: x = -3, 2

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The two line plots below show the times that Marco and Antonio ran in ten trials of the 40-yard dash.

antonio's:4.5,4.5,4.6,4.6,4.6,4.8,4.8,5.2,5.2,5.3,5.5

Marcos's:4.8,4.8,4.9,4.9,4.9,4.9,5.0,5.0,5.0,5.1

Which of the following can be inferred from the data?

A. Antonio runs the race faster than Marco on average.

B. Marco always runs a better time than Antonio.

C. Marco is more likely than Antonio to improve after a poor race.

D. Antonio's average time is about 5.1 seconds,


Answers

Step-by-step explanation:

The answer is A

Bcz In a race runs faster whoever does it in less time

The two line plots below show the times that Marco and Antonio ran in ten trials of the 40-yard dash.

Use the diagram to the right to complete the statement. If m
m

Use the diagram to the right to complete the statement. If mm

Answers

OGH is also 132 degrees

What is the slope of the line shown.

What is the slope of the line shown.

Answers

Answer:

The answer is negative one half. If I am wrong let me know because the picture is a little hard to read.

Step-by-step explanation: To find the slope, you look at the Y axis and see where the line crosses perfectly(or goes through) the Y axis first. Then, you look at the x axis and see where the line crosses perfectly on the x axis. For example, the line crosses the Y axis at negative, and the line crosses the X axis at positive 2.  The vertical line is the y axis and the horizontal line is the x axis.

I need help with this demon!

I need help with this demon!

Answers

The percentage of of the shaded region is 74.8%

What is area of a circle?

A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The enclosed body of a circle is called the circumference.

The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in squared units.

The area of a circle is expressed as :

πr²

The area of the shaded part = area of big circle - area of small circle

= 3.14(8.01²-4.02²)

= 3.14(64.16-16.16)

= 3.14( 48)

= 150.72in²

area of the big circle = 3.14 × 64.16 = 201.46

therefore the percentage of the shaded region of the point = 150.72/201.46 × 100

= 74.8% ( nearest tenth)

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15 POINTS!!!!!!! PLEASE HELP!!
Find the value of a.
A) 3
B) 4
C) 6
D) 9

15 POINTS!!!!!!! PLEASE HELP!! Find the value of a. A) 3 B) 4 C) 6 D) 9

Answers

Answer:

Step-by-step explanation:

The legs and hypotnuse of a triangle can easily be solved by using

\(A^{2} +B^{2} =C^{2}\)

with this in mind we can plug in the legs and hypotenuse of the triangle to solve for the missing leg, A.

\(A^{2} =C^{2} -B^{2} \\A = \sqrt{(5^{2} )-(4^{2}) } \\A=\sqrt{9} \\A=3\)

Hope this helps,

H.M.

Answer:

The correct answer is a.) 3.

Step-by-step explanation:

Since we know that b = 4, and c = 5, we can use the pythagoras theorem to solve this question. a^2 + b^2 = c^2.

Substitute the values a^2 + 4^2 = 5^2.
Simplify: a^2 + 16 = 25.

Subtract 16 on both sides: a^2 = 9.

Square root each side to get a = 3.

3x*2 -10x +7/ x +4 which of the following shows the division problem in synthetic division form?

3x*2 -10x +7/ x +4 which of the following shows the division problem in synthetic division form?

Answers

We can write the given expression (3x² - 10x + 7/ x + 4) in synthetic form as :

- 4 |3      -10       7

What is Synthetic Division?In algebra, the synthetic division is one of the methods used to manually perform the Euclidean division of polynomials. The division of polynomials can also be done using the long division method. But, in comparison to the long division method of polynomials, the synthetic division requires lesser writing and fewer calculations. That means the synthetic division is the shorter method of the traditional long-division of a polynomial for the special cases when dividing by a linear factor.

Given is the expression as -

(3x² - 10x + 7/ x + 4)

We can write the given expression in synthetic form as -

- 4 |3      -10       7

Therefore, we can write the given expression (3x² - 10x + 7/ x + 4) in synthetic form as :

- 4 |3      -10       7

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Look at the picture please

Look at the picture please

Answers

The minimum value is 20

The maximum value is 9

The range is 11.

The mean is 16.8

The median is 18.

The mode is 18.

The landmark that best describes the dot plot is the mean because it incorporates all the data in the dotplot.

What are the measures of the data in the dotplot ?

A dot plot is a graph that displays the information of a dataset. A dot plot consists of a number line and dots above the numbers on the number line. The dots in the dot plot is indicate the frequency of the data in the dataset.

The minimum value is the smallest number in the dataset. The smallest number that is represented in the dot plot is 9. The maximum value is the largest number in the dataset. The largest number that is represented in the dot plot is 20.

The range is the difference between the maximum value and the minimum value.

Range = maximum value - minimum value

20 - 9 = 11

The mean is the average of he numbers in the dataset.

Mean = [(9 x 1) + (12 x 1) + (14 x 1) + (15 x 5) + (16 x 2) + (17 x 3) + (18 x 6) + (19 x 3) + (20 x 4)] / 26

438 /26 = 16.8

The mode is the number that occurs most in the dataset. The number that occurs most frequently is 18 with a dot of 6.

The median is the number at the center of the dataset. The median is 18.

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100 points & brainliest!

100 points & brainliest!

Answers

Answer:

Y=#x+Y

Step-by-step explanation:

I think this formula would be best to use as one of the numbers would keep on changing while the other stays the same.

Enjoy, Hope i get what i promised :D

Answer:

Y=#x+Y

Step-by-step explanation:

Find the product z1z2 in standard form. (Simplify your answer completely.)
z1 = 9 + 3i, z2 = −9 + 3i

Answers

Answer:

See image

Step-by-step explanation:

These are "complex numbers" because they have the imaginary number, i, in the expression.

The 9 (and the -9) is the real part and the 3i is the imaginary part. But when you add or subtract, multiply or divide them you can manipulate them just as if the i was a variable (like x or n or y) If you learned to multiply

(x+2)(x+5)

= x^2 + 7x + 10

This problem will work the same way. You may have learned "FOIL" or using a box to multiply two binomials (two-piece things like x+2)

**SUPER IMPORTANT NOTE: i^2 is equal to -1

These particular complex numbers are called conjugates which means they have the same 'pieces' the 9 and the 3i, with only one sign different. So there is a short cut for this problem and the imaginary number falls out and we get a real number answer. This doesn't happen for every question, only when you multiply conjugates, but the method shown here works for multiplying complex numbers all the time.

Find the product z1z2 in standard form. (Simplify your answer completely.)z1 = 9 + 3i, z2 = 9 + 3i

Someone help me with this please thank you

Someone help me with this please thank you

Answers

Answer:

negative

Step-by-step explanation:

you can even try it out yourself,

I need a minimum of 50 characters to submit so...

Which statement is modeled by the expression? 100p Responses The coach received 100 tokens for the amusement park rides. If there are p players on the team, each player will receive 100p tokens. The coach received 100 tokens for the amusement park rides. If there are , p, players on the team, each player will receive , 100 over p, , tokens. After the league had supplied each player with a uniform, there were 100 uniforms left over. If there are p players in the league, 100p is the number of uniforms the league had originally. After the league had supplied each player with a uniform, there were 100 uniforms left over. If there are , p, players in the league, , 100 over p, is the number of uniforms the league had originally. One hundred more players signed up for soccer than the league had planned for. The league had p uniforms in stock. The number of uniforms the league needs to buy to make up the difference is 100p. One hundred more players signed up for soccer than the league had planned for. The league had p uniforms in stock. The number of uniforms the league needs to buy to make up the difference is 100 over p ., Each player in the league was given 100 tickets to sell. If there are p players in the league, the total number of tickets to sell is 100p Each player in the league was given 100 tickets to sell. If there are , p, players in the league, the total number of tickets to sell is , 100 over p

Answers

The statement modeled by the expression "100p" is: "If there are p players on the team, each player will receive 100p tokens."
The statement modeled by the expression
"100p" is: "If there are p players on the team, each player will receive 100p tokens." Have a good day

Jaquan surprised his mom by taking her out for Mother's Day. Hetook her to her favorite restaurant. The total bill came to $112.49.Jaquan gave a 23% tip towards the bill. What is the total restaurantbill including the tip amount?

Answers

\(\text{Totall bill= \$ }138.3627\)

Explanation

to know the total bill amount we need to add the tip to the total,so

Step 1

find the value of the tip

\(\text{tip}=23\text{ percent = }\frac{23}{100}=0.23\)

it means to find the tip amount you need multiply the bill by 0.23,hence

\(\begin{gathered} \text{Tip}=112.49\cdot0.23=25.8727 \\ \text{tip amount}=25.8727 \end{gathered}\)

Step 2

finally , add the values to know the total restaurant bill including the tip amount

\(\begin{gathered} \text{Total bill= bill+tip} \\ \text{Totall bill= \$ 112.49 +\$25.8727} \\ \text{Totall bill= \$ }138.3627 \end{gathered}\)

So, the answer is $138.3627.

I hope this helps you

Find the flux of the vector field F across the surface S in the indicated direction. F - 2x1 +291 +2k Sis portion of the plane x+y+z=7 for which 0 Sxs 2 and 0 sy sl; direction is outward (away from origin) O 11 34 17 O 10

Answers

The answer is, the flux of the vector field F across the surface S in the indicated direction is (20 + 2√3). hence , option O is the correct answer.

The surface integral of the vector field F across the surface S in the outward direction (away from origin) is shown below:-

Flux = ∬S F · dS

Here, F = <2x, 1 + 2y, 9> and S is a portion of the plane x + y + z = 7, 0 ≤ x ≤ 2, and 0 ≤ y ≤ 1.

The surface element is dS = <-∂x/∂u, -∂y/∂u, 1> du dv where u is the first coordinate and v is the second coordinate. Then, ∂x/∂u = 1, ∂y/∂u = 0.

Therefore, dS = <-1, 0, 1> du dv.

Since we want the outward direction, the unit normal vector to S pointing outward is given by

n = <-∂x/∂u, -∂y/∂u, 1>/|<-∂x/∂u, -∂y/∂u, 1>|= <1/√(3), 1/√(3), 1/√(3)>.

Thus, F · n = <2x, 1 + 2y, 9> · <1/√(3), 1/√(3), 1/√(3)>

= (2x + 1 + 2y + 9)/√(3)

= (2x + 2y + 10)/√(3)

Therefore, Flux = ∬S F · dS = ∬R (2x + 2y + 10)/√(3) du dv where R is the rectangle in the uv-plane with vertices (0, 0), (2, 0), (2, 1), and (0, 1).

Thus ,∬S F · dS=∫0¹∫0²(2x+2y+10)/(3)dx

dy= (2√3 + 20)/√3

= (20 + 2√3)

The flux of the vector field F across the surface S in the indicated direction is (20 + 2√3).

Therefore, option O is the correct answer.

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During a winter storm, a ski resort received 9 inches of snow in 12 hours. The snow fell at a steady rate. How many inches of snow fell at each hour.

Answers

Answer:

0.75 inches of snow

Step-by-step explanation:

During a winter storm, a ski resort received 9 inches of snow in 12 hours. The snow fell at a steady rate. How many inches of snow fell at each hour.

12 hours = 9 inches of snow

1 hour = x

Cross Multiply

12 hours × x = 1 hour × 9 inches

x = 9/12

x = 0.75 inches

Therefore, 0.75 inches of snow fell at each hour.

Help please...
show work if you can
Thank you!!!​

Help please... show work if you canThank you!!!

Answers

Just cut the piece into two and multiply all the sides

make y the subject of the equation

2A=x(2y+z)​

Answers

2A = 2xy + xz

2A - xz = 2xy + xz - xz

2A - xz = 2xy

( 2A - xz ) ÷ 2x = 2xy ÷ 2x

A/x - z/2 = y

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

\(y = \frac{2A-xz}{2x}; x \neq 0\)

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

\(2A = x(2y+z)\\\\\rightarrow x(2y+z)=2A\\\\\rightarrow\frac{x(2y+z)=2A}{x}\\\\\rightarrow 2y + z = \frac{2A}{x}\\\\\rightarrow 2y + z - z = \frac{2A}{x}-z\\\\\rightarrow 2y = \frac{2A}{x} - z\\\\\rightarrow\frac{2y = \frac{2A}{x} - z}{2}\\\\\rightarrow \boxed{y = \frac{2A-xz}{2x}}\)

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

What is the value of X

What is the value of X

Answers

Answer:

20 degrees

Step-by-step explanation:

Y is 90 degrees.

lets find the measure of the other angle, 180-110 is 70.

using this info let’s find X.

180-(70+90)

180-160

20

97 divided by 10 and round to the nearest tenth place pleaseeeee

Answers

Answer: 9.7

Step-by-step explanation: 97 divided by 10 is 9.7

97 divided by 10 is 9.7 so it rounded to the nearest tenth would still be 9.7.

The conversation society bought and planted 45 cherry trees. Each tree cost $367. What was the total cost of the planting trees? ​

Answers

Answer:

$16,515

Step-by-step explanation:

If one tree cost $367 that would mean if you got 45 of them you would have to do 45 x $367 which is $16,515

367

 45

x___

    1835

   14680

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

16,515

please helpp quick! i have no idea what the answer is

please helpp quick! i have no idea what the answer is

Answers

Answer:

C

Step-by-step explanation:

point-slope equation is y-y1=m(x-x1)

y1=2

x1=6

m=(-5/7)

so the equation is y-2=-5/7(x-6)

hope this helps :3

Answer the question below in the picture.

Answer the question below in the picture.

Answers

Answer:

39 ft²

Step-by-step explanation:

Surface area of square pyramid:

Surface area of square pyramid = lateral surface area+ base area

 s = 3 ft

 l = 5 ft

  \(\sf \boxed{\text {\bf Surface area of square pyramid = $2sl +s^2$ }}\)

       s - side of the base square

       l- slant height

      Surface area = 2*3*5 + 3*3

                            = 30 + 9

                            = 39 ft²

if f (x)= x2- 2x : which of the following is the value of f (4)

Answers

62031549163916391638173163
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What did Mansa Musa think all Muslims should be able to do? How did he enforce this? 9. A person with mass of 60 kg standing on the dwarf planet Ceres would weigh 16.2 N. What is thestrength of gravity on the surface of Ceres? 3. When filling out a W-4 form, in what situation would a teen want to claim exemption from federal taxes being withheld from their paycheck? O They don't feel like paying taxes. O They make more than the minimum income threshold. O They don't make more than the minimum income threshold. based on the symbolism of the mirror and the context it is used, what is being inferred about amir and hassans relationship? i really need help on my question! solve for x 5x+7=91-17 Find the horizontal asymptote of the graph of y = -2x^3 + 3x +2 / 2x^3 + 6x +2 Let S be the set of all strings in a's and b's, and define C: S S by C(s) = as, for each s S. (C is called concatenation by a on the left.) (a) Prove that C is one-to-one. Proof: Suppose s, and s, are strings in s such that C(s1) = C(s2). Use the definition of C to write this equation in terms of a, s1, and s2, as follows: as1 = ____Now strings are finite sequences of characters, and since the strings on both sides of the above equation are equal, for each integer n > 0, the nth character from the left in the left-hand string _____ the nth character from the left in the right-hand string. It follows that for each integer n 20, the nth character from the left in s1, equals the nth character from the left in s2. Hence S1 = S2, and so C is one-to-one. (b) Give a counterexample to show that C is not onto. Counterexample: The string is _____ in S but is not equal to C(s) for any string s because every string in the range of C starts with ____. What is the difference between the contagion theory and the convergencetheory?O A. One deals with how people behave before a riot, and the otherdeals with how people behave after a riot.O B. One deals with adults with no power, and the other deals withauthority figures.O C. One deals with how people are affected by a crowd, and the otherdeals with how people actively drive a crowd's Behavior.O D. One deals with people from democratic governments, and theother deals with people from authoritarian governments. Proper Paints Company has a target capital structure of 35% debt and 65% common equity with no preferred stock. Its before tax cost of debt is 8% and its marginal tax rate is 25%. The current stock price is P0 = $22. The last dividend was D0 = $2.25 and it is expected to grow at a 5% constant rate. What is its cost of equity and it's WACC? For what values of x is the expression below defined?x+41-x Given a mortgage for 150,000$ maturing in 10 years and which is paid quarterly with annual interest of 5% what is the PV of the 11 -th payment of this mortgage (I mean the total payment!) 4788.21 4176.65 none of the above 4281.43 Question 3 of 10Which sentence is an example of third-person narration?A. I asked the teacher to help me figure out a math problem.B. She asked the teacher to help her figure out a math problem.C. "Can you help me figure out the answer?" I asked the teacher.D. You ask the teacher to help you figure out a math problem.SUBMIT A woman invests $8000 in an account that earns 4.5% simple interest. If the money is invested for 5 years, how much money is in the account at the end of the 5 year period? Cross-border merger and acquisition problems include all thefollowing EXCEPT which one?a. a multitude of worthy targetsb. a lack of familiarity with foreign cultures PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!! Each of the following statements regarding the need to balance behavioral control with academic and social learning is true EXCEPTA) Too often, the focus is on academic instruction at the expense of social learning and student behavior.B) Excellent academic instruction has been shown to eliminate most disruptive behaviors.C) Without effective behavior control, it is extremely unlikely that academic and social learning will occur.D) Behavior control strategies preferably involve students in self-control strategies. Which of the following is an example of an adaptation?A story presented as a playAmovie reviewA story presented in its original formA literary analysis 67:18PLEASE HELPPPP!!!!!!make connections between the purpose ofthis piece of nazi propaganda and what you learned about the historical context that led to the creation of this propaganda. Use specificevidence to explain the connections. (Middle school math) please help, thank you!