Helpppppo!!!!!!!!!
The mean of the temperatures in the chart is 24° with standard deviation of 4º. How many years had temperatures within one
standard deviation of the mean?
20
25
28
35

Answers

Answer 1

Answer:

25

Step-by-step explanation:

If the mean of the temperatures in the chart is 24° with standard deviation of 4º, there has been 25 years within one  standard deviation of the mean.

Answer 2

27° is the temperature value that is within one standard deviation of mean.

What is Mean?

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Given

Mean of the temperatures in the chart [tex]\mu[/tex] [tex]\mew[/tex]= 24°

Standard deviation [tex]\sigma[/tex] = 4º

The lower and upper bound for temperature within one standard deviation of the mean is given as:

Lower bound =  [tex]\mu[/tex] -  [tex]\sigma[/tex] = 24° - 4º =  20°

Thus, the lower bound is  = 20°

Upper bound =  [tex]\mu[/tex] + [tex]\sigma[/tex] = 24° + 4º =  28°

Thus, the upper bound is  = 28°

Now, the temperature value between (Lower bound, Upper bound) that is (20°, 28°) is said to be within one standard deviation of the mean.

Hence, 27° is the temperature value that is within one standard deviation of mean.

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Related Questions

the. expression to find the perimeter of a rectangle is 2 (lengtg+width) what is the perimeter in units of a rectangle of length 1/3 unit and width 1/2 unit​

Answers

Answer:

5/3 units  or 1 2/3 units

Step-by-step explanation:

P =2 (l+w)

We know the length = 1/3 and the width = 1/2

P = 2 (1/3+1/2)

Get a common denominator of 6

1/3 *2/2 = 2/6

1/2 *3/3 = 3/6

Therefore

P = 2(2/6+3/6)

  = 2(5/6)

   = 10/6

    =5/3 units

Changing from an improper fraction

  = 1 2/3 units

Which of the diagrams below represents the statement "If it is a square, then
it is a quadrilateral"?​

Answers

B is the correct answer

A quadrilateral is a polygon with 4 number of sides and 4 vertices. The correct figure is figure B.

What is a quadrilateral?

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

For the above-given condition,  "If it is a square, then it is a quadrilateral" figure B is correct because, as per the first diagram, not all the squares are quadrilateral, while as per the figure B every square is a quadrilateral.

Hence, the correct figure is figure B.

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Which expression is equivalent to 6(3+0.05)?

A. 6(3)+0.05

B. (6+3)+(6+0.05)

C. 6(3)+6(0.05)

D. 6(3)×6(0.05)

Answers

[tex]\huge{\boxed{6(3)+6(0.05)}}[/tex]

The distributive property shows that you need to multiply the [tex]6[/tex] separately by each term in the parentheses. This means you multiply [tex]6*3[/tex] and [tex]6*0.05[/tex], then add them together to get [tex]6*3+6*0.05[/tex], or in the terms of your answer choices, [tex]\boxed{6(3)+6(0.05)}[/tex].

Option C is correct. The required equivalent expression will be  6(3)+6(0.05)

Given three values A, B and C expressed as A(B+C)

Using the law of distribution

A(B+C) = AB + AC

Applying this law on the expression 6(3+0.05)

6(3+0.05) = 6(3) + 6(0.05)

hence the required equivalent expression will be  6(3)+6(0.05)

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Type the correct answer in each BLANK. The line of best fit represents the number of miles Jean covered at different speeds during a trip. If the speed is represented by x and the distance covered is represented by y, the equation of the best line of fit is y =(BLANK) . She covered about (BLANK) miles at the speed of 50 miles per hour.

Answers

Answer:

y=2x

100 miles

Step-by-step explanation:

The slope is determined by change of y/ change of x

when using the points (0,0)-(50,100) is

100-0/50-0= 100/50=2

so the slope is 2.

Also there is no Y intercept on the equation bc it goes through the origin.

100 miles is the y point for 50 miles per hour

Answer:

The equation of the best line of fit is y = 2x

Step-by-step explanation:

The relationship between y and x is

y = mx + c

Where m = slope of the line

And c = intercept

At 50 miles per hour she has already covered a distance of 100 miles ---- from the graph

We can use this to calculate the slope of the line using the coordinates (0,0) (50,100)

Slope m is calculated as;

m = (y2 - y1)/(x2 - x1)

Where y2 = 100, x2 = 50

y1 = x1 = 0

Substitute these values

So m = (100 - 0)/(50 - 0)

m = 100/50

m = 2

Since there's no intercept, c = 0

The equation y = mx + c becomes

y = 2x + 0

y = 2x

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 15 N acts on a certain object, the acceleration of the object is 5 /ms2. If the acceleration of the object becomes 9 /ms2, what is the force?

Answers

Answer:

27 N

Step-by-step explanation:

Since force varies directly with acceleration, we can introduce a constant, k, and write  [tex]F=ka[/tex]

When force is 15, acceleration is 5, so plug it into the equation and solve for k:

[tex]F=ka\\15=k(5)\\k=\frac{15}{5}\\k=3[/tex]

Now, to find force, we use a = 9 and k = 3, so

[tex]F=ka\\F=(3)(9)\\F=27[/tex]

The force is 27 N

The perimeter of a rectangle is 215 feet. The short sides are each 24 feet long, but the lengths of the long sides are unknown. Which equation represents this situation?


24a=215

2(24)+2a=215

24+2a=215

2(24)a=215

Answers

Answer:

2 ( 24 ) + 2 a = 215

Step-by-step explanation:

Perimeter of the rectangle is 215 feet, the short sides are 24 feet long and we need to work out the long sides (we will call a long side 'a') so,

24 + 24 + a + a = 215

For this case we have to:

Let "a" be the variable that represents the length of the rectangle and let "b" be the variable that represents the width of the rectangle. Then the perimeter is given by:

[tex]P = 2a + 2b[/tex]

We have as data that:

[tex]P = 215 \ feet\\b = 24 \ feet[/tex]

Then, replacing:

[tex]215 = 2a + 2 (24)[/tex]

Answer:

Option B

6. Find the sum of the arithmetic series.
∑_(n=1)^5▒〖(9-4n)〗

7. Find the first five terms of the sequence described.

a_1=3,a_(n+1)=a_n+5

Answers

4 minutes away and you don’t wanna know what y’all want me anymore i was

what is the purpose of algebraic expressions?

Answers

Answer:

Algebraic expressions are useful because they represent the value of an expression for all of the values a variable can take on

Write an equation of a line in point-slope form that is perpendicular to the line y=1/2x-7 and goes through the point (4,-3)

Answers

Answer:

y = - 2x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = [tex]\frac{1}{2}[/tex] x - 7 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2, hence

y = - 2x + c ← is the partial equation of the perpendicular line

To find c substitute (4, - 3) into the partial equation

- 3 = - 8 + c ⇒ c = - 3 + 8 = 5

y = - 2x + 5 ← equation of perpendicular line

Charlene is wrapping the box below. How much wrapping paper will she need? 7in x 9in x 5in,?

Answers

Charlene will need 286 square inches of wrapping paper to cover all six sides of the box with dimensions of 7 inches by 9 inches by 5 inches. This is found by calculating the surface area of each side and then adding them together.

To determine how much wrapping paper Charlene will need to wrap a box with dimensions 7 inches by 9 inches by 5 inches, we calculate the surface area of the box. The box has 6 sides, with each side being a rectangle. The dimensions of the sides are 7x9 inches (two sides), 7x5 inches (two sides), and 9x5 inches (two sides).

To find the total surface area, we calculate the area of each of these rectangles and then sum them together:

Area for two 7x9 sides: 2 * (7in * 9in) = 2 * 63in2 = 126in²

Area for two 7x5 sides: 2 * (7in * 5in) = 2 * 35in2 = 70in²

Area for two 9x5 sides: 2 * (9in * 5in) = 2 * 45in2 = 90in²

Adding these together gives:

Total surface area = 126in² + 70in² + 90in² = 286in²

Charlene will need 286 square inches of wrapping paper to wrap the box.

7 × (–3) × (–2)2 = ?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{7*(-3) * (-2)(2) = ?}[/tex]

[tex]\huge\text{7 * (-3) = -21}[/tex]

[tex]\huge\text{-21 * (-2)2 = ?}[/tex]

[tex]\huge\text{-21 * -2 = 42}[/tex]

[tex]\huge\text{42(2) = ?}[/tex]

[tex]\huge\text{42 * 2 = 42 + 42 = 84}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: 84}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

100 PT QUESTION PLEASE HELP I WOULD REALLY APPRECIATE IT

Leo and Kamran go to high school together. There are a total of 1000 students in their grade. Out of the 6 periods they have, only 2 of their classes can be together. What is the percent probability that Leo and Kamran have a class together?

Answers

2/1000

0.002%

2/6

0.33%

0.002%×0.33%

The percentage of yall being in the same class is 0.00066%

The triangle below is classified as which of the following

Answers

This triangle seems like A) Scalene Acute. Brainliest meeeee!

This triangle has no sides which are the same, so this is classified as a scalene triangle.

After we have classified this triangle type, we look at the angles.

If you see the angles, all of the angles have no more than 90°. Acute is less than 90°, right is 90°, and obtuse if more than 90°.

All of the angles in this triangle is less than 90°. This means it's acute.

In conclusion, the triangle is scalene and it is acute, which means it is a scalene acute.

Find the product. Simplify using positive exponents.


4⁴ · 4³


2² · 2⁻⁴

Answers

Answer:

Step-by-step explanation:

=4⁴ · 4³

=4^{7}

=16 384

=2² · 2⁻⁴

=2^{-2}

=1/2^{2}

=1/4

According to the graph, what is the value of the constant in the equation
below?

Answers

Answer:

The value of the constant is 0.8

Explanation:

The graph has the following properties:

Horizontal-axis (independent variable): widthVertical-axis (dependent variable): heightPoints on the curve:

        (0.5, 1.6), (0.8, 1), (1.6, 0.5), and (2, 0.4)

The equation represented by the graph is an inverse variation:

Height = constant / width.

From that equation, you can solve for the contstant:

constant = height × width

Now, you can take any ordered pair to find the constant:

(0.5, 1.6) ⇒ constant = 0.5 × 1.6 = 0.8(0.8, 1) ⇒constant = 0.8 × 1 = 0.8(1.6, 0.5) ⇒ constant = 1.6 × 0.5 = 0.8(2, 0.04) ⇒ constant = 2 × 0.4 = 0.8

Thus, you have obtained that the constant is 0.8.

Which of the following equations represents a line that is parallel to y = 3x +2
and passes through the point, (1,6)?

Answers

Answer:

y=3x+3 is slope-intercept form

y-6=3(x-1) is point-slope form

I don't know the form your equation(s) are in. There are other forms.

Step-by-step explanation:

The slope-intercept form a line is y=mx+b where m is the slope and b is the y-intercept.

So the slope of y=3x+2 is 3.

Parallel lines have the same slope.  So the slope of the line we are looking for has a slope of 3.

Therefore, our equation his this form y=3x+b.

We need to now find b.

We know a point (x,y) on the line.

y=3x+b using (x,y)=(1,6).

6=3(1)+b

6=3+b

Subtract 3 on both sides:

3=b

So the equation is y=3x+3

Point-slope form is another form we can put our line into

y-y1=m(x-x1)

where m is the slope and (x1,y1) is a point on the line.

We have m=3 and a point (x1,y1) on the line is (1,6).

y-6=3(x-1)

[tex]\huge{\boxed{y=3x+3}}[/tex]

It could also be [tex]\boxed{y-6=3(x-1)}[/tex]

We can use point-slope to find this.  Parallel lines have the same slope, and the given line has a slope of 3 ([tex]m[/tex] in [tex]y=mx+b[/tex]).  This means that the parallel line will also have a slope of 3.

Point-slope form is [tex]y-y_1=m(x-x_1)[/tex], where [tex]m[/tex] is the slope and [tex](x_1, y_1)[/tex] is a known point on the line.

Plug in the values. [tex]\boxed{y-6=3(x-1)}[/tex] (point-slope form)

Distribute. [tex]y-6=3x-3[/tex]

Add 6 to both sides. [tex]\boxed{y=3x+3}[/tex] (slope-intercept form)

Of the following sets, which numbers in {1, 2, 3, 4, 5} make the inequality 3x + 1 > 4 true?
{1, 2}
{1, 2, 3}
{1, 2, 3, 4, 5}
{2, 3, 4, 5}

Answers

Answer:

{2, 3, 4, 5}

Step-by-step explanation:

3x + 1 > 4

3x > 3

x > 1.

If x = 1 the inequality is not true,

- but  2 3 4 and 5 will make the inequality true.

The numbers in 1, 2, 3, 4, 5} make the inequality 3x + 1 > 4 true is{2, 3, 4,5}

The answer is option D.

Which describes the solutions of the equation?

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

     ⇒3x + 1 > 4

     ⇒ 3x > 3

      ⇒  x > 1.

  If x = 1 the inequality is not true,

Therefore   2 3 4 and 5 will make the inequality true.

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Evaluate 12 sigma n=3 20(0.5)^n-1
9.99
19.95
29.98
39.96

Answers

Answer:

We have a geometric series in which:

a = 20

r = 1/2

Now, we know that: S2 = 20(1-r^2)/(1-r)  and S12 = 20(1-r^12)/1-r

Therefore:  sigma(3,12) = S12-S2  = 20[(1-r^12)/(1-r) - (1-r^2)/(1-r)]  =5115/512  = 9.99023438

Therefore, the answer is: 9.99

Answer: Is D

Step-by-step explanation:

Nicholas has a fish tank that is 12 inches high, 14.5 inches long, and 6.5 inches wide. If he fills the tank halfway with water, how many cubic inches of water are in the tank?

Answers

Answer:

565.5 in^3

Step-by-step explanation:

To find the full volume of the tank

V = l*w*h

We know 12 inches high, 14.5 inches long, and 6.5 inches wide.

Substituting in

V = 12 * 14.5*6.5

V =1131 in ^3

He is filling it 1/2 full, that would be 1/2 of the volume

1/2 V = 1131/2 = 565.5 in^3

Answer:

answer is 565.5 in^3

Step-by-step explanation:

The normal pulse rate of a 13-year-old is between 70 and 100 beats per minute. As part of a health program, the medical staff at Grant Middle School measured the resting pulse rate of 12 randomly selected students in grades 7 and 8. The box plot shows the data for each group. Which statement correctly compares the data sets?

Answers

Answer:From the box plot, it can be seen that for grade 7 students,

The least value is 72 and the highest value is 91. The lower and the upper quartiles are 78 and 88 respectively while the median is 84.

Thus, interquatile range of the resting pulse rate of grade 7 students is upper quatile - lower quartle = 88 - 78 = 10

Similarly, from the box plot, it can be seen that for grade 8 students,

The least value is 76 and the highest value is 97. The lower and the upper quartiles are 85 and 94 respectively while the median is 89.

Thus, interquatile range of the resting pulse rate of grade 8 students is upper quatile - lower quartle = 94 - 85 = 9

The difference of the medians of the resting pulse rate of grade 7 students and grade 8 students is 89 - 84 = 5

Therefore, the difference of the medians is about half of the interquartile range of either data set.

Step-by-step explanation: i hope it helps it took a long time to write!

Answer:

I hope this helps

Step-by-step explanation:

There are twelve shirts in your closet, five blue and seven green. Four of the blue shirts and one of the green shirts fit well. The others are too big. You randomly select a shirt to wear. It is blue or is too big. Find the probability of this occuring

Answers

Answer:

P (blue or too big) = 11 / 12

Explanation:

A two way table permits to represent the situation clearly and find the answser is an easy way.

The two way table is that results from the given information is:

Initial information:

                     Blue           Green         Total

Fit well             4                  1                 ?

Too big            ?                   ?                ?

Total               5                   7                12

Now by subtraction and addition you can fill the unknown fields:

                     Blue           Green         Total

Fit well             4                  1                5

Too big            1                   6                7

Total                5                   7                12

Now, you can see that there are 5 blue and 7 too big shirts, but the total number of them is 5 + 7 - 1 (because one of the too big shirts is also blue).

Then, the number of shirts being blue or too big is 5 + 7 - 1 = 11.

And the probability is :

P(blue or too big) = number of blue or too big / total number of shirts

P (blue or too big) = 11 / 12answer

You can also realize that there is only 1 green shirt that fits well, and that is the only option of not being blue of too big, so 1 /12 is the probability of not being blue or too big, and its complement (being blue or too big) is 1 - 1/12 = 11 / 12.

the function f(x) = 3,005(1+0.03)^x represents the amount of money in a savings account where x represents time in years. what does 3,005 represent? a. the amount of money in the savings account after one year b. the amount of money added to the savings account each year c. the growth rate d. the initial amount of money placed in the savings account

Answers

Answer:

Option d. the initial amount of money placed in the savings account

Step-by-step explanation:

we have

[tex]f(x)=3,005(1+0.03)^{x}[/tex]

This is a exponential function of the form

[tex]f(x)=a(1+r)^{x}[/tex]

where

a is the initial value

r is the growth rate

(1+r) is the base

x is the number of years

f(x) is the amount of money in a savings account

In this problem we have

a=$3,005

r=0.03=3%

(1+r)=1.03

therefore

3,005 represent the initial value ( the amount of money for the value of x equal to zero)

Answer:

d. The initial amount of money placed in the savings account

Step-by-step explanation:

Given function that represents the amount of money after x years,

[tex]f(x)=3005(1+0.03)^x[/tex]

Which is an exponential growth function,

Since, in a growth function,

[tex]f(x)=ab^x[/tex]

a represents the initial value,

b is the growth rate per period,

x is the number of periods,

By comparing,

a = 3005,

Hence, 3005 must be represent the initial amount of money placed in the savings account,

Option 'd' is correct.

Can guys help me with question 4 and 5

Answers

Answer:

1. C.

2. $15.75

Step-by-step explanation:

To find the total cost of lures, multiply your cost of lures (4.25) against your total amount of lures (p).

[tex]4.25p[/tex]

To find the total cost of bobbers, multiply your cost of bobbers (1.50) against your total amount of bobbers (b).

[tex]1.5b[/tex]

To find the total cost of everything, add these two together and you'll have your equation.

[tex]4.25p+1.5b[/tex]

To find the cost given that Jake purchases 3 lures and 2 bobbers, simply plug in your numbers of lures and bobbers to the equation.

[tex]4.25(3)+1.5(2)\\12.75+3\\15.75[/tex]

Answer:

c. 4.25 *p + 1.50 b

15.75

Step-by-step explanation:

lures are 4.25 a pack and bobbers are 1.50

We want to buy p packers of lures and b  bobbers

Take the cost per each item and multiply by the number of each item

Add them together to the total cost

4.25 *p + 1.50 b

This is the cost

Let p =3 and b=2

4.25 *3 + 1.50 (2)

12.75 +3

15.75

I need help with 12.5•10•14 L•W•H

Answers

Answer:

[tex]\huge{\boxed{\text{1750 units}^{3}}}[/tex]

Explanation:

[tex]\begin{array}{cc}\text{First, multiply 12.5 by 10.}&125*14\\\text{Then, multiply 125 by 14.}&1750\end{array}[/tex]

If f(x)=5x+40, what is f(x) when x=-5

Answers

Answer: 65

Step-by-step explanation:

F(x)=5x+40 and x=5

Enter 5 for x in the equation...

F(x)=5(5)+40

F(x)=25+40

F(x)=65

f(x)=5(-5)+40
f(x)=-25+40
f(x)=15

What is the best definition of a triangle?

Answers

Answer:

A figure formed by 3 segments connecting 3 non-colinear points.

Answer:

Hi there!

The answer to this question is: C

A figure formed by three segments connecting three noncollinear points


(4x2 + 7x)(5x2 – 3x)

Multiply​

Answers

Step-by-step explanation:

here is the answer for your question

Answer:

20x^4 + 23x^3 – 21x^2

Step-by-step explanation:

other answer was a bit hard to read, sorry

Which value of x makes the quotient of (5x^5+90x^2-135x)/(x+5) undefined?

Answers

Answer:

The value x=-5 makes the quotient undefined

Step-by-step explanation:

When we are looking for undefined values, we want values that make the denominator zero

x+5 =0

Subtract 5 from each side

x+5-5 =0-5

x=-5

The value x=-5 makes the quotient undefined

Line m passes through the points (3.7) and (6, 12) while line n passes
through the points (-5, 1) and (-2, 6).
Which statement accurately describes the relationship between the two
lines?

Answers

Answer:

The line n is parallel to the line m.

Step-by-step explanation:

Calculate slopes.

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Line m:

(3, 7), (6, 12)

[tex]m=\dfrac{12-7}{6-3}=\dfrac{5}{3}[/tex]

Line n:

(-5, 1), (-2, 6)

[tex]m=\dfrac{6-1}{-2-(-5)}=\dfrac{5}{3}[/tex]

The lines have the same slope. That is why they are parallel.

The following set of coordinates most specifically represents which figure? (−5, 6), (−1, 8), (3, 6), (−1, 4) (6 points) Parallelogram Rectangle Rhombus Square

Answers

Answer:

Rhombus

Step-by-step explanation:

The given points are A(−5, 6), B(−1, 8), C(3, 6), D(−1, 4).

We use the distance formula to find the length of AB.

[tex]|AB|=\sqrt{(-1--5)^2+(8-6)^2}[/tex]

[tex]|AB|=\sqrt{16+4}[/tex]

[tex]|AB|=\sqrt{20}[/tex]

The length of AD is

[tex]|AD|=\sqrt{(-1--5)^2+(6-4)^2}[/tex]

[tex]|AD|=\sqrt{16+4}[/tex]

[tex]|AD|=\sqrt{20}[/tex]

The length of BC is:

[tex]|BC|=\sqrt{(-1-3)^2+(8-6)^2}[/tex]

[tex]|BC|=\sqrt{16+4}[/tex]

[tex]|BC|=\sqrt{20}[/tex]

The length of CD is

[tex]|CD|=\sqrt{(-1-3)^2+(6-4)^2}[/tex]

[tex]|CD|=\sqrt{16+4}[/tex]

[tex]|CD|=\sqrt{20}[/tex]

Since all sides are congruent the quadrilateral could be a rhombus or a square.

Slope of AB[tex]=\frac{8-6}{-1--5}=\frac{1}{2}[/tex]

Slope of BC [tex]=\frac{8-6}{-1-3}=-\frac{1}{2}[/tex]

Since the slopes of the adjacent sides are not negative reciprocals of each other, the quadrilateral cannot be  a square. It is a rhombus

Answer:

answer is Rhombus

Step-by-step explanation:

Other Questions
if a + b = -6 and x + y + z = -2, what is 8a - 7x - 7z - 7y + 8b CAM plants lose their _____ during the day and open them at night.a) thylakoidsb)chloroplastsc)vascular bundlesd)stomata if f(x)=3 x and g(x)= 1/x , what is the domain of (g o f)(x)? HELP IF YOU KNOW FRENCH QUICKDescribe what you are wearing. Include at least three articles of clothing and their colors. Remember to place your adjective (color) after the noun (clothing article) and also remember the rules of adjective agreement.Examples:Je porte une chemise verte. (Feminine and singular)Je porte des bottes vertes. (Feminine and plural) A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 3600 N/m. The piston has a negligible mass and a radius of 0.028 m. (a) When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? (b) How much work does the atmospheric pressure do in compressing the spring? Chris wanted to transform the graph of the parent function Y= cot (x) by horizontally compressing it so that it has a period of 2/ units, horizontally Terslating it /4 units to the right, and vertically translating it 1 unit up. To do so, he graphed the function y= cot (2x-/4)+1 as shown. What did he do wrong? if 12.5%of x is 6 ,find the value of x From the communities of interest and the CPMT, the executive leadership of the organization should begin building the team responsible for all subsequent IR planning and development activities. This team, the ____________________ team should consist of individuals from all relevant constituent groups that will be affected by the actions of the frontline response teams. Red light from three separate sources passes through a diffraction grating with 6.60105 slits/m. The wavelengths of the three lines are 6.56 107m (hydrogen), 6.50 107m (neon), and 6.97 107m (argon). Part A Calculate the angle for the first-order diffraction line of first source (hydrogen). Express your answer using three significant figures. In The Federalist Papers, James Madison argued that Select one:A. the large size of the United States was a source of political stability B. to be a republic, a country must be geographically smallC. church and state must be linked in order to encourage republican virtued. D. it was essential that slavery be abolished for liberty to flourish Solve the system of equations and choose the correct ordered pair.2x - 6y = 85x - 4y = 31 What is the range of the function f(x)=-(x+3)^2+7 HELPPP ASAPPPThe data to represent average test scores for a class of 16 students includes an outlier value of 91. If the outlier is included, then the mean is 80. Which statement is always true about the new data when the outlier is removed? The median would decrease. The median would increase. The mean would decrease. The mean would increase. Larry is paid 8.5% of all sales plus 4.25% of all sales over $6800. Find Larry's gross pay from total sales of $12,300? 7 is what percent of 8 Iraq War Blog: What information mainly does the following passage convey?"There is no ideal way to prevent such things from happening. If the boy leaves alone in his car, theyll abduct him. If he leaves with a driverrelated or notno one can prevent an abduction. We heard of many situations. Every story has different details that leads one to believe that there is no way to prevent it. There are even people who were abducted right in the middle of their personal bodyguards, so I know its not from a lack of caution.a) Abductions can be stopped by taking the proper precautions.b) Violence is worse in Iraq than in neighboring countries.c) There is a sense of helplessness in dealing with the surrounding violence.d) Having bodyguards is essential in post-occupation Iraq.Incorrect. Having personal bodyguards does not seem to stop abductions, either. A 300 g bird is flying along at 6.0 m/s and sees a 10 g insect heading straight towards it with a speed of 30 m/s. The bird opens its mouth wide and swallows the insect. a. What is the birds speed immediately after swallowing the insect? b. What is the impulse on the bird? c. If the impact lasts 0.015 s, what is the force between the bird and the insect? NEEED HPP!!!Kelly bought a new car for $20,000. The car depreciates at a rate of 10% per year.What is the decay factor for the value of the car?Write an equation to model the cars value.Use your equation to determine the value of the car six years after Kelly purchased it. _was a key technique used to explain the structure of DNA Y is inversely proportional to XWhen X =3, Y = 8Work Out the value of Y When X = 8.