Write the expression in quadratic form. If possible. Otherwise, write NOT POSSIBLE.


16x^10 + 2x^5 + 6

Answers

Answer 1

Answer:

5X^4 + 2X^2 – 8

Step-by-step explanation

Its quadratic form is 5(x²)² +2x² -8

Let be X²=p, so the final expression is 5p²+2p-8

hope this help's


Related Questions

Determine the approximate circumference of a circle that has an area of 200. 96 cm 2.

Answers

If an area of the circle is 200.96 cm^2 , then the circumference of the same circle is approximately around 28.28 cm^2.

The formula for the area of a circle is given by:

A = πr^2,

where A is the area and r is the radius of the circle.

To find the circumference of a circle, we can use the formula:

C = 2πr,

where C is the circumference and r is the radius.

To solve for the circumference, we first need to find the radius of the circle. We can use the formula for the area to find the radius:

A = πr^2

200 = πr^2

r^2 = 200 / π

r = √(200 / π)

Next, we can substitute the value of r into the formula for the circumference to find the circumference:

C = 2πr

C = 2π * √200 / π)

C = 2 * √(200)

Approximating √(200) to 14.14, we get:

C ≈ 2 * 14.14 = 28.28

So the approximate circumference of a circle with an area of 200 square cm is 28.28 square cm.

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bob is interested in examining the relationship between the number of bedrooms in a home and its selling price. after downloading a valid data set from the internet, he calculates the correlation. the correlation value he calculates is only 0.05. what does bob conclude?

Answers

Based on the low correlation value of 0.05, Bob concludes that the number of bedrooms in a home is not a strong predictor of its selling price.

The statistical method called correlation to measure the strength of the relationship between these two variables.

A correlation value of 0.05 indicates that there is a weak relationship between the number of bedrooms in a home and its selling price. In statistical terms, this means that the number of bedrooms in a home only explains 5% of the variation in the selling price.

A correlation value can range from -1 to 1.

A value of -1 indicates a perfect negative correlation, meaning that as the number of bedrooms in a home increases, the selling price decreases.

A value of 1 indicates a perfect positive correlation, meaning that as the number of bedrooms in a home increases, the selling price also increases.

A value of 0 indicates no correlation, meaning that there is no relationship between the number of bedrooms in a home and its selling price.

Other factors, such as location, square footage, and the overall condition of the home, likely play a larger role in determining the selling price.

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We make 72 cookies and 18 cookies are eaten. What fraction represents the portion of the whole batch that remains?

Answers

Answer:

1/4

Step-by-step explanation:

Create a chart 18 over 72 and x over 100

Now we multiply 18 by 100 to get 1800

We take that 1800 and divide it by 72 to get 25/100

We can simplify this to 1/4

sketch a graph for days 0-9

Answers

The sketch for the graph is added as an attachment

The sketch for the graph

From the question, we have the following parameters that can be used in our computation:

The table of values

Next, we plot the points on the graph using the following scale on the y-axis

1 unit = 1000000000 people

See attachment for the graph

From the graph, we can see that

The curve never intersects with the y-axis

This means that

y ≠ 0

The interpretation of this is that the scientists were not able to completely turn all the zombies to human

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Why were jews refugees more vulnerable than German jews? What does this suggest about the society's universe of obligation at the time?

Answers

Answer:

During the Holocaust, Jews who were living in Nazi-occupied countries were more vulnerable than German Jews for several reasons. First, German Jews had some level of protection under German law until 1935, when the Nuremberg Laws stripped them of their citizenship and legal rights. In contrast, Jews in occupied countries had no legal protection or rights.

Second, German Jews had more resources and networks to help them escape persecution or go into hiding, such as family members or friends who were not Jewish or non-Jewish organizations that were sympathetic to their plight. Jews in occupied countries, especially in Eastern Europe, often had less access to resources and networks because they were living in ghettos or had been transported to concentration or extermination camps.

Third, German Jews were often better-educated and assimilated into German society, which sometimes gave them advantages in finding employment or housing. Jews in occupied countries, especially in Eastern Europe, often lived in poverty and were more likely to be living in rural areas or small towns, which made them more vulnerable to persecution and deportation.

This suggests that the society's "universe of obligation" during the Holocaust was limited to certain groups of people, namely German Jews who were seen as having more value or worth than Jews in other countries. This limited universe of obligation meant that Jews in occupied countries were not considered as valuable or worthy of protection, and therefore were more vulnerable to persecution and violence. The Holocaust serves as a tragic example of how societies can create a narrow universe of obligation that excludes entire groups of people and leads to horrific consequences.

Step-by-step explanation:

Find the value of the X, Triangle Similarity

Answers

Answer:

x = 22.5

Step-by-step explanation:

the segment from the vertex to the base is an angle bisector and divides the opposite side ( base) into segments that are proportional to the other two sides, that is

[tex]\frac{9}{x-9}[/tex] = [tex]\frac{12}{18}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2(x - 9) = 27

2x - 18 = 27 ( add 18 to both sides )

2x = 45 ( divide both sides by 2 )

x = 22.5

Graph the system, and find the solution: y = 2x - 1 and y = -1/3x +3, HELP PLEASE, I HAVE A TEST ON THIS TOMORROW ILL GIVE YOU BRAINLIEST

Answers

The solution to the system of equations y = 2x - 1 and y = -1/3x + 3 is given as follows:

(1.714, 2.429).

How to obtain the solution to the system of equations?

The system of equations for this problem is defined as follows:

y = 2x - 1 y = -1/3x + 3.

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

(1.714, 2.429).

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please help me on this

Answers

Answer:

I got 5/16 as my answer

Step-by-step explanation:

I used a calculator to solve the equation :/

b) Lizzie has gross monthly pay of £1,480. She has to pay income tax of £112.67 and NICs of £96.48. How much is her net pay?​

Answers

Her net pay is 1270.85 pounds

What is Net Pay?

Net Pay is the take-home pay an employee receives after you withhold deductions. You can find net pay by subtracting deductions from gross pay.

where,

Gross monthly pay = 1,480 pounds

Income tax = 112.67 pounds

NICs = 96.48 pounds

Net pay = Gross pay - Deductions

Net pay = 1,480 - (112.67 +96.48)

Net pay = 1480 - 209.15

Net pay = 1270.85 pounds

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what is difference between parameter and statistic

Answers

Answer:

One and the same

Step-by-step explanation:

What is 2008 AP Multiple Choice AB answers and solutions?

Answers

The 2008 AP Multiple Choice AB answers and solutions can be found on the College Board website or through other online resources.

However, it is important to remember that simply looking up the answers will not help you in the long run. It is important to understand the concepts and methods behind each question in order to be successful on the AP exam.

Here are the answers to the 2008 AP Multiple Choice AB exam:

1. B
2. D
3. C
4. B
5. A
6. D
7. D
8. C
9. B
10. D
11. C
12. B
13. D
14. A
15. D
16. B
17. C
18. D
19. A
20. D
21. B
22. C
23. D
24. B
25. C
26. D
27. A
28. B

It is important to remember that simply knowing the answers will not guarantee success on the AP exam. It is important to understand the concepts and methods behind each question in order to be successful. If you are having difficulty with a particular question or concept, it is recommended that you seek out additional resources or assistance from a teacher or tutor.

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what is the value of 3⁴×3⁰​

Answers

Answer:

81

Step-by-step explanation:

using the rule of exponents

• [tex]a^{0}[/tex] = 1

then

[tex]3^{4}[/tex] × [tex]3^{0}[/tex]

= [tex]3^{4}[/tex] × 1

= 3 × 3 × 3 × 3

= 9 × 9

= 81

Answer: Hello! I'm JK!.....

81

Use the power rule to combine exponents. 3^4+^0

Add 4 and 0. 3^4

Raise 3 to the power of 4.

81

Step-by-step explanation:

 I really hope this helps you! <3 XoXoGoldenMaknae

If a fair six-sided number cube was rolled
510 times, how many times would
you predict that a 4 or 5 would be rolled?

Answers

We would anticipate that a fair six-sided number cube would roll a 4 or 5 roughly 170 times out of 510 rolls.

How is probability determined?

The likelihood of rolling a 4 or a 5 on any given roll, supposing the six-sided number cube is fair, is 2/6 or 1/3. This indicates that we should anticipate seeing a 4 or a 5 roughly one-third of the time out of 510 rolls.

We may determine this by dividing the total rolls by the likelihood of rolling a 4 or a 5, as follows:

510 * 1/3 = 170

It's crucial to keep in mind that this is merely a prediction based on probability and that the actual outcomes could change as a consequence of chance or other circumstances.

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Which of the following systems of equations has the solution (–1, 5)?


A.
y = 3x + 8

y = –x + 4

B.
y = 3x + 8

y = –x – 4

C.
y = 3x – 8

y = –x + 4

D.
y = 3x – 8

y = –x – 4

Answers

The correct option for the systems of equations that has the solution (–1, 5) is - A. y = 3x + 8 and y = –x + 4.

Explain about the term systems of equations?

According to the discussion above, a system of equations is a collection of equations that aim to find a similar solution for all of the variables.

When there are multiple unknowns and there is sufficient data to arranged equations in those unknowns, systems of equations are utilised to solve applications. Generally speaking, when we have n uncertainties, we require n equations set up in those unknowns.

For the given solution of (–1, 5).

It must satisfy the given systems of equations.

Put x = - 5 and if y = 5 comes, it satisfies the equation.

Thus,

Option A:

y = 3x + 8

Put x = -1

y = 3(-1) + 8 = 5

y = –x + 4

Put x = -1

y = -(-1) + 4

y = 5

Thus, option A satisfies the given systems of equations.

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Answer: A:  y = 3x + 8

                y = –x + 4

Step-by-step explanation:

Question 6
(09.04 MC)
If sine0=1/3 what are the values of cos 0 and tan 0?

Answers

If sine0=1/3 then the values of

cos0 = 2/3

tan0 = 1/2

What is trigonometry?

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

Given that sin 0 = 1/3, we can use the Pythagorean theorem to find the value of cos 0:

cos² 0 + sin² 0 = 1

cos² 0 = 1 - (sin 0)²

cos 0 = √(1 - (sin 0)²)

cos 0 = √(1 - (1/3)²)

cos 0 = √(1 - 1/9)

cos 0 = √(8/9)

cos 0 = √2/3

Next, we can use the relationship between sine and tangent to find the value of tan 0:

tan 0 = sin 0 / cos 0

tan 0 = 1/3 / 2/3

tan 0 = 1/2

So, the values of cos 0 and tan 0 are 2/3 and 1/2, respectively.

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what is 3 5 as a decimal

Answers

To convert 3/5 to a decimal, we divide the numerator by the denominator  and we get 0.6. 3/5 as a decimal is 0.6.

To convert 3/5 to a decimal, we divide the numerator (3) by the denominator (5):

3 ÷ 5 = 0.6

Therefore, 3/5 as a decimal is 0.6.

Converting a fraction to a decimal involves dividing the numerator by the denominator. To convert 3/5 to a decimal, we can use long division or a calculator to perform the division. In this case, 3 divided by 5 equals 0.6. Alternatively, we can also recognize that the fraction 3/5 can be written as a decimal by dividing the numerator by the denominator. Since 3 is the same as 3.0, we can add a decimal point after 3 and divide by 5 to get 0.6. The decimal form of a fraction can be useful for making comparisons or performing calculations with other decimal numbers.

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Complete Question

what is 3/5 as a decimal?

Lines and are parallel lines cut by a transversal. Use the lines and the angles formed to select all that are true statements. Select 3 correct answer(s)
a. Angle 3 and Angle 6 are vertical angles.
b. Angle 1 and Angle 5 are corresponding angles.
c. Angle 6 and Angle7 are vertical angles.
d. Angle 7 and angle 8 are supplementary angles.
e. Angle 2 and angle 4 are alternate interior angles.
f. Angle 1and angle 4 are same side interior angles.

Answers

The corrrect statements about angle are:

Angle 1 and angle 5 are corresponding anglesAngle 6 and angle 7 are vertical anglesAngle 7 and angle 8 are supplementary angles

Please refer to the attached picture below for visualization of the angles.

Based on the attached picture, we can consider the relationship of each angle, such as:

Alternate interior angles and congruent:

Angle 4 and angle 5

Angle 3 and angle 6

Alternate exterior angles and congruent:

Angle 1 and angle 8

Angle 2 and angle 7

Consecutive interior angles and supplementary:

Angle 3 and angle 5

Angle 4 and angle 6

Corresponding angles and congruent:

Angle 1 and angle 5

Angle 2 and angle 6

Angle 3 and angle 7

Angle 4 and angle 8

Vertical angles and congruent:

Angle 1 and angle 4

Angle 2 and angle 3

Angle 5 and angle 8

Angle 6 and angle 7

Supplementary angles:

Angle 1 and angle 2

Angle 3 and angle 4

Angle 5 and angle 6

Angle 7 and angle 8

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100 points, brainliest, and multiple choice!!!!!!

Answers

Answer:

(2,1)

Step-by-step explanation:

To find the solution for the system on a graph, look where the two lines intersect, that coordinate is your answer.

Please help! 100 points!
Translation – (x+3,y-3)
Dilation – Reduce the figure by ½
Reflection- Reflect over the line y = x
Rotation – Rotation of 180 degrees around the origin.

Answers

1. Translation – (x+3, y-3) :

To move the figure 3 units to the right in the x-direction and 3 units down in the y-direction.

2. Dilation – Reduce the figure by ½ is:

When reducing a figure by ½, every dimension of the figure is divided by 2.

3. Reflection- Reflect over the line y = x

Reflecting over the line y = x means that every point in the figure is reflected over the line that goes diagonally from the lower left to the upper right.

4. Rotation – Rotation of 180 degrees around the origin.

When rotating a figure 180 degrees around the origin, every point in the figure is moved to a new location that is 180 degrees around the origin from its original location.

Transforming Figures

Translation – (x+3,y-3)

Translated to plain English, this means to move the figure 3 units to the right in the x-direction and 3 units down in the y-direction. When we apply the translation (x+3,y-3) to a figure, it means that we move the entire figure 3 units to the right in the x-direction, and 3 units down in the y-direction. So, the translation (x+3,y-3) simply shifts the figure to a new location that is 3 units to the right and 3 units down from its original location.

Dilation – Reduce the figure by ½

Dilation is a transformation that changes the size of a figure. When reducing a figure by ½, every dimension of the figure is divided by 2. In other words, every point in the figure is moved to a point that is half the distance from the center of dilation.

Reflection – Reflect over the line y = x

Reflecting a figure over a line means to create a mirror image of the figure on the other side of the line. Reflecting over the line y = x means that every point in the figure is reflected over the line that goes diagonally from the lower left to the upper right.

Rotation – Rotation of 180 degrees around the origin

Rotating a figure means to turn it around a fixed point. When rotating a figure 180 degrees around the origin, every point in the figure is moved to a new location that is 180 degrees around the origin from its original location. This means that every point is flipped over to the opposite side of the origin.

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can someone please help me i dont understand this question......A first-time homebuyer is financing a house for $128,900. The buyer has to pay $300 plus 1.05% for a brokerage fee. How much are the mortgage brokerage fees? $1,653.45 $1,353.45 $1,356.60 $1,365.45

Answers

The required mortgage brokerage fee is $1,654.45, which is closest to option A: $1,653.45.

What is the percentage?

The percentage is the ratio of the composition of the subject to the overall composition of the subject multiplied by 100.

Here,

To calculate the mortgage brokerage fees, you need to add the fixed fee of $300 to 1.05% of the house price. Here's how to calculate it:

Calculate 1.05% of $128,900:

0.0105 x $128,900 = $1,354.45

Add the fixed fee of $300 to the result:

$1,354.45 + $300 = $1,654.45

Therefore, the answer is $1,654.45, which is closest to option A: $1,653.45.

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PLS SOME1 HELP ITS DUE IN 20 MIN!!!!!!!!!!!!!!!!!!!!!!!
A quilter created the following shape to use in a block for a new quilt. A six-sided figure with a large base of 10 and three-fifths inches. The side to the right of the base is 6 inches. The small side parallel to the base is 4 and one-fifth inches. There are two sides that form a point at a right angle. The smaller is 4 inches, and the larger is 5 inches. What is the area of the shape for the quilt block?.

Answers

The area of the shape for the quilt block is eighty three three - fifth (83 3/5) inches square.

How to calculate the area

It should be noted that to find the area of this six-sided figure, we can break it down into two right triangles and a rectangle.

First, let's find the area of the right triangle with the 4-inch side. This triangle has a base of 4 inches and a height of 5 inches, so the area is (1/2) * 4 * 5 = 10 square inches.

Next, let's find the area of the right triangle with the 5-inch side. This triangle has a base of 5 inches and a height of 4 inches, so the area is (1/2) * 5 * 4 = 10 square inches.

Finally, let's find the area of the rectangle. This rectangle has a base of 10 and three-fifths inches and a height of 6 inches, so the area is (10 + 3/5) * 6 = 63 3/5 square inches.

The total area of the six-sided figure is:

= 10 + 10 + 63 3/5

= 83 3/5 square inches.

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SOLVE FOR X THANK U VERY MUCH!!!

Answers

In a circle value of x is,

⇒ x = 164.5

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

A circle is shown in figure.

Now, We know that;

Sum of all angles in a circle is 360°.

Hence, We can formulate;

⇒ 24 + 21 + (x - 9) + (x - 5) = 360°

⇒ 45 + 2x - 14 = 360

⇒ 2x = 360 - 31

⇒ 2x = 329

⇒ x = 164.5

Thus., The value of x is,

⇒ x = 164.5

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If the length of diagonal of square is √2 then what is the length of
each side ?

Answers

Answer:

1

Step-by-step explanation:

The diagonal is √2 times the length of any side. So √2/√2 is 1.

Given the expression: 8x2 + 28x - 16
Part A: What is the greatest common factor? Explain how to find it. (3 points)
Part B: Factor the expression completely. Show all necessary steps. (5 points)
Part C: Check your factoring from Part B by multiplying. Show all necessary steps. (2 points)

Answers

Part A: greatest common factor: 4.

Part B: Factor of the expression are: x = 4, 1/2.

Part c: Check for the factors are found correct.

Explain about the greatest common factor?A group of numbers' greatest common factor (GCF) is the biggest factor each of the numbers have in common. The largest number that may divide evenly into two or more other numbers is known as the greatest common factor (GCF).

The given expression is-

8x² + 28x - 16 = 0

Part A: The highest number that can be taken common is 4.

4(2x² + 7x - 4) = 0

Thus, greatest common factor: 4.

Part B: Factor of the expression.

4(2x² + 7x - 4) = 0

2x² + 7x - 4 = 0

2x² + 8x - x - 4 = 0

2x(x + 4) - (x + 4) = 0

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

x = 4, 1/2

Thus, the Factor of the expression are: x = 4, 1/2.

Part C: Check:

x = 4, 1/2

8x² + 28x - 16

Put x = 4

= 8(4)² + 28(4) - 16

= 0 (satisfies)

Put x = 1/2

= 8(1/2)² + 28(1/2) - 16

= 0 (satisfies)

Thus, the check for the factors are found correct.

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7(3+5)___+___
and Its not 7+8 I need help

Answers

Answer:

21+35

Step-by-step explanation:

7(3+5)=7x3+7x5=21+35

I really would appreciate if you guys help me

Answers

Answer:

He attended school for 9 hours everyday

Step-by-step explanation:

612/68=9

This is because he did 9 hours everyday for 68 days until he go 612 hours of barber school, which means that 612 hours/68 days=hours attended per day

The angles that share the same sine value as sin(45°) have terminal sides in quadrant .

Answers

The angles that share the same sine value as sin(45°) have terminal sides in second quadrant .

The sine function relates the ratio of the length of the side opposite an acute angle to the length of the hypotenuse of a right triangle. The sine of an angle is always between -1 and 1.

The sine of 45 degrees is √2/2, which is a positive value. Since the sine of an angle is positive in the first and second quadrants, the angles that share the same sine value as sin(45°) must have their terminal sides in the first or second quadrant.

To find the angles that have the same sine value as 45 degrees, we can use the inverse sine function, also known as the arcsine function. The arcsine of √2/2 is 45 degrees or π/4 radians, which is an angle in the first quadrant.

However, since the sine function is periodic, there are infinitely many angles with the same sine value as 45 degrees, and they are all separated by integer multiples of 360 degrees or 2π radians.

Therefore, the angles that share the same sine value as sin(45°) have terminal sides in second quadrant, and can be represented by the formula:

θ = n(360°) ± 45°

or

θ = n(2π) ± π/4

where n is an integer.

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Answer: (  ll ) edgen

Step-by-step explanation:

What are the 5 rules of scientific notation?

Answers

5 rules of scientific notation which helps us to represent the numbers which are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent.

The exponent is either positive or negative depending on how big or little the number is. Learn about power and exponents to have a deeper understanding. The five golden rules of the scientific notation:

Base should be always 10The exponent must be a non-zero integer, that means it can be either positive or negativeThe absolute value of the coefficient is greater than or equal to 1 but it should be less than 10 Coefficients can be positive or negative numbers including whole and decimal numbersThe mantissa carries the rest of the significant digits of the number of the exponent.

Hence there are the rules of the the scientific notation.

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Please explain how to find the answer please!!!
Before school started for the year, book bags sold for $29.95. Now that school is in session, the
same book bags are only $13.00. What is the percent of discount applied to the book
bags? Round to the nearest whole percent.

Answers

The percent of discount applied to the book bags is 56.6%.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Bookbags sold for $29.95. Now that school is in session, the same book bags are only $13.00.

So, The amount of discount is,

= $(29.95 - 13.00).

= $16.95.

Therefore, The percentage discount is,

= (16.95/29.95)×100%.

= 56.6% discount.

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What is the value of a 2 + 3 b + c − 2 d , w h e n a = 3 , b = 8 , c = 2 , a n d d = 5 ?

Answers

Answer:

Step-by-step explanation:

3*2+3*8+2-2*5=6+24-10+2=22

Other Questions
2/3 divided by 13/ 4 compared with a service operation, a manufacturing operation's capacity is described by which of the following? 1. deux cent cinquante-deux, rue deBretagne2.quatre cents, avenue Malbon3. cent soixante-dix-sept, rue Jeanne d'Arc4. cinq cent quarante-six, boulevard St.-Marc5. six cent quatre-vingt-huit, avenue desGaulois6. trois cent quatre-vingt-douze, boulevardMicheline7. cent vingt-cinq, rue des Pierres8. trois cent quatre, avenue St.-GermainHelp pls Which statement is false? 1.) Plants and animals carry out cellular respiration.2.) Plants do not carry out cellular respiration.3.) Energy is stored in glucose and is released as ATP. Please helppppp meeeeeeee What does groupthink mean? which measures are used in the five-number summary?Select all that applya. standar deviationb. first quartilec.minimum valued. mediane.maximum valuef. third quartileg. interauqrtile rangeh. variancei.mode j.mean Currencies in U.S. Dollarsgiving money to Margaret, h that Tobias exchanged?- 15.75x = 41.87+ 15.75x = 41.87x + 15.75 = 41.87ur answer and then click Check Answer.Currency1 Canadian Dollar1 British Pound1 Euro1 Japanese Yen1 Brazilian RealValue in U.S. Dollars0.73861.53951.09820.00930.2547 what do you call the area around the tigris and euphrates rivers Why do covalent compounds have low melting and boiling points?AWeak VanderWaals force of attraction between molecules.BStrong VanderWaals force of attraction between molecules.CLarge amount of energy required to break the force of attraction.DNone of the above List the steps for rewrittenfractions as repeating decimals(include an example as needed) the rections above involve synthesis or reactions of alcohols and ethers. identify the mechanism by which they proceed from among the mechanisms listed. use the letters a - g for your answers. find the value of a and b such thatx^2+2x-7=(x+a)^2+b What is an example of sensory details? If you tore your Achilles tendon, you would be unable to perform all of the following muscle actions excepta. bending your foot downwardb. standing on your toesc. pulling your knees tp your chestd. walking When conducting survey research why would one need to make sure the sample is stratified? g 1. a fine-grained inorganic soil is found to have a liquid limit of 65 percent and a plasticity index of 35 percent. the natural soil water content is 45 percent (a) determine the liquidity index and indicate the consistency index of the natural soil. (b) classify this soil according to unified soil classification system Find the perimeter of a circle with a diameter of 7. 8 yds in 1185, the minamoto clan leader took this title and ruled the land in the name of the emperor. this distinction ended in 1868, when the last of this ruler bowed to u.s. pressure to open japan to diplomatic and commercial relations by signing unequal treaties with the west, setting off a chain of events that would prove his downfall and the end of an era. (true or false) Drag each tile to the correct box.The 1960s saw a number of technological advances. Put the following events in order:American scientistssuccessfully testedthe first working laser.The NASA satellite Telstar 1transmitted a signalbetween Europe and theUnited States.American astronautswalked on the moon.The Russians successfullylaunched a satellite intoorbit.