Find the quotients:
a.4.248÷18
with soln plz

Answers

Answer 1

Answer: answer:...4.248÷18=0.236

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Answer 2

Answer:

0.236 is the answer

please mark me as brainliest please

Find The Quotients:a.4.24818with Soln Plz

Related Questions

A fisherman is sitting 2 feet above the surface of a lake on a boat. The hook on his fishing pole is floating 6 feet below the lake's surface.



Part A: Are the locations of the fisherman and his hook opposites? Explain your reasoning.

Part B: Write an inequality using the symbol < or > that compares the fisherman's location to his hook's location.

Answers

Answer:

A.12 feet

B. 2 feet>6 feet

Step-by-step explanation:

A. 2 feet x 6 feet = 12 feet

B. 2 feet>6 feet

1. Use the diagram to find the measures of each angle. Explain your reasoning
a. ABC
b. ABE
C. EBD​

 1. Use the diagram to find the measures of each angle. Explain your reasoning a. ABC b. ABE C. EBD

Answers

Answer:

a. 130

b. 50

c. 130

Step-by-step explanation:

Since you know DBC is 50 degrees you know its vertical angle, ABE is 50 degrees, and since they are supplements you know the other two vertical angles are 130 degrees.

The measure of m<ABC, m<ABE, and m<EBD are 130, 50, and 130 respectively

The point where two lines meet is known as an angle.

From the given angle, we can see that;

m<ABE = m<DBC = 50 degrees (vertically opposite)Sum of m<ABE and m<ABC are supplementary, hence:

m<ABE + m<ABC = 180 degrees

50 + m<ABC = 180

m<ABC = 180 - 50

m<ABC = 130degrees

Get the angle m<EBD

m<EBD and m<CBD are also supplementary, hence:

m<EBD + m<CBD = 180

m<EBD + 50 = 180

m<EBD = 180 - 50

m<EBD = 130degrees

Hence the measure of m<ABC, m<ABE, and m<EBD are 130, 50, and 130 respectively.

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If you get the answer can you also explain how you go it

If you get the answer can you also explain how you go it

Answers

C I’m pretty sure, if wrong I’m sorry
The answer is C.

6/10 lines are shaded. 3 x 2/5 = 6/10

What is the x intercept?
Look at the picture.​

What is the x intercept?Look at the picture.

Answers

Answer:

-2

Step-by-step explanation:

the x-intercept is where the line of the slope crosses the x-axis

hope this helps :3

if it did pls mark brainliest

A rectangular page is to have a printed area of 4 inches by 6.5 inches. If outside margins is to have a width of 1.2 inches, Compute the area of the margins.

Answers

First to answer

Answer:

From my understanding 1.2 is only there to try and trick you soo-

A=L*W

A=4*6.5

A=26

Hopefully this helps! Let me know if its wrong or right!

difference between apr and interest rate

Answers

Apr gives a comprehensive view of loan cost and Interest rate gives current cost or loan! Hope this helped this is from the internet.

Think you can figure out the area of this unique shape?

Think you can figure out the area of this unique shape?

Answers

Answer:

20

Step-by-step explanation:

To find the area, separate the unique shape into 3 rectangles. Then, solve for the area of those three rectangles:

2 x 4 = 8
2 x 3 = 6
6 x 1 = 6

Then, add up all of those areas to find the total area of the unique shape:

8 + 6 + 6 = 20

The area of the unique shape is 20.

12 cmFind the volume of this object.Use 3 for 7.Volume of a cylinder Volume of a coneV = arahTr? haV=3First let's calculate the volume of the cylinder.V = 7 [?]?Hint: Plug in the value of the radius.The diameter is 8. The radius is half this value.8 cmTT110 cmyea

12 cmFind the volume of this object.Use 3 for 7.Volume of a cylinder Volume of a coneV = arahTr? haV=3First

Answers

ANSWER

736cm³

EXPLANATION

To find the volume of this object, we have to find the volume of the cylinder and the volume of the cone first. The radius of the cylinder is 4cm because the diameter is 8cm, its height is 12cm. Using 3 for π,

\(V_{cylinder}=\pi\cdot r^2\cdot h=3\cdot4^2cm^2\cdot12\operatorname{cm}=576cm^3\)

The height of the cone is 10cm and the radius is the same as the cylinder. Using 3 for π,

\(V_{cone}=\frac{1}{3}\cdot\pi\cdot r^2\cdot h=\frac{1}{3}\cdot3\cdot4^2cm^2\cdot10\operatorname{cm}=160cm^3\)

The volume of the object is the sum of the volumes of the cylinder and the cone,

\(V=V_{cylinder}+V_{cone}=576cm^3+160cm^3=736cm^3\)

Hence, the volume of this object is 736cm³.

Graph y=-2x+5 please help fast

Answers

Answer:

y=−2x+5

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is

y=mx+b , where m is the slope and b is the y-intercept.

y=mx+b

Find the values of

m and b

using the form

y=mx+b.

m=−2b=5

The slope of the line is the value of m , and the y-intercept is the value of

b.

Slope: −2

y-intercept:

(0,5)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Graph the line using the slope and the y-intercept, or the points.

Slope:  −2

y-intercept:  (0,5)

X|Y

0 5

1  3

Step-by-step explanation:

Graph y=-2x+5 please help fast

The required graph of the equation y = -2x +5 has been shown.

What is the graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
As the given equation y = -2x+5 represents a straight line,
in order to graph the line,
We must know, the two points on the line,
So,
Put x = 0 on the equation,
y = 5,

And put y = 0,
0 = -2x + 5
x = 2.5,

Now, locate the points (0, 5) and (2.5, 0) on the graph and draw the straight curve joining these two points will be the required graph of the equation,

Thus, the required graph of the equation y = -2x +5 has been shown.

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Graph y=-2x+5 please help fast

At a table in the college cafeteria, three deans meet and discuss class size in their departments. The Math dean remarks, “It was kind of funny thing with our numbers. We divided all the students evenly among all the professors in the fall semester, and each class had exactly the same number of students. In the spring semester, we hired one additional professor and our student enrollment went up by exactly 1, and it turned out that our class size in the spring went down by exactly 1.”“Gee,” said the Biology dean, “We had something very similar happen. Like you, we divided all the students evenly among all the professors in the fall semester, and each class had exactly the same number of students. In the spring semester, we hired one additional professor and our student enrollment went up by exactly 1, and it turned out that our class size in the spring went down by exactly 2.”Then the History dean made his remarks: “You’re hardly going to believe this, but we divided all the students evenly among all the professors in the fall semester, and each class had exactly the same number of students. In the spring semester, we hired one additional professor and our student enrollment went up by exactly 1, and it turned out that our class size in the spring went down by exactly 3.”How many professors and students were there in the fall and spring in math, biology and history?

Answers

First, let's define our variables.

Let:

• M, be the number of ,math, teachers and ,m, be the number of math students.

,

• B, be the number of ,biology, teachers and ,b, be the number of ,biology, students.

,

• H, be the number of ,history, teachers and ,h, be the number of ,history, students.

Similarly, we'll have that:

• Cm, will be the number of students in a ,math, class.

,

• Cb, will be the number of students in a ,biology, class.

,

• Ch, will be the number of students in a ,history, class.

Now, we'll traslate what each dean said into mathematic expressions, so we can work on them and get our solution.

FOR MATH:

The dean said:

1. "We divided all the students evenly among all the professors in the fall semester, and each class had exactly the same number of students."

\(\frac{m}{M}=C_m\)

2. "In the spring semester, we hired one additional professor and our student enrollment went up by exactly 1, and it turned out that our class size in the spring went down by exactly 1.”

\(\frac{m+1}{M+1}=C_m-1\)

Now, let's clear Cm from equation 2 and equal both equations, as following:

\(\begin{gathered} \frac{m+1}{M+1}=C_m-1 \\ \\ \rightarrow1+\frac{m+1}{M+1}=C_m \\ \\ \Rightarrow1+\frac{m+1}{M+1}=\frac{m}{M} \end{gathered}\)

Solving for m, we'll get an expression for the number of students asigned to a certain number of teachers:

\(\begin{gathered} 1+\frac{m+1}{M+1}=\frac{m}{M} \\ \\ \rightarrow\frac{M+1+m+1}{M+1}=\frac{m}{M}\rightarrow\frac{M+m+2}{M+1}=\frac{m}{M} \\ \\ M(M+m+2)=m(M+1) \\ \rightarrow M^2+Mm+2M=Mm+m \\ \rightarrow M^2+2M=m \\ \\ \Rightarrow m=M^2+2M \end{gathered}\)

Now, we can choose any number of teachers that we want, and we'll get the corresponding number of students that make the dean's statements correct.

For instance, we can choose 10 teachers, and we'll get that:

• There were 10 teachers and 120 students in the fall semester

,

• There were 11 teachers and 121 students in the fall semester

FOR BIOLOGY:

The dean said:

1. "...we divided all the students evenly among all the professors in the fall semester, and each class had exactly the same number of students."

\(\frac{b}{B}=C_b\)

2. "In the spring semester, we hired one additional professor and our student enrollment went up by exactly 1, and it turned out that our class size in the spring went down by exactly 2."

\(\frac{b+1}{B+1}=C_b-2\)

Similarly, we'll clear Cb from equation 2 and equal both equations, as following:

\(\begin{gathered} \frac{b+1}{B+1}=C_b-2 \\ \\ \rightarrow2+\frac{b+1}{B+1}=C_b \\ \\ \Rightarrow2+\frac{b+1}{B+1}=\frac{b}{B} \end{gathered}\)

Solving for b, we'll get an expression for the number of students asigned to a certain number of teachers:

\(\begin{gathered} 2+\frac{b+1}{B+1}=\frac{b}{B} \\ \\ \rightarrow\frac{2B+2+b+1}{B+1}=\frac{b}{B}\rightarrow\frac{2B+b+3}{B+1}=\frac{b}{B} \\ \\ \rightarrow B(2B+b+3)=b(B+1) \\ \rightarrow2B^2+Bb+3B=Bb+b \\ \rightarrow2B^2+3B=b \\ \\ \Rightarrow b=2B^2+3B \end{gathered}\)

Now, we can choose any number of teachers that we want, and we'll get the corresponding number of students that make the dean's statements correct.

For instance, we can choose 10 teachers, and we'll get that:

• There were 10 teachers and 230 students in the fall semester

,

• There were 11 teachers and 231 students in the fall semester

FOR HISTORY:

The dean said:

1. "...we divided all the students evenly among all the professors in the fall semester, and each class had exactly the same number of students."

\(\frac{h}{H}=C_h\)

2. "In the spring semester, we hired one additional professor and our student enrollment went up by exactly 1, and it turned out that our class size in the spring went down by exactly 3."

\(\frac{h+1}{H+1}=C_h-3\)

Just as we did, we'll clear Ch from equation 2 and equal both equations, as following:

\(\begin{gathered} \frac{h+1}{H+1}=C_h-3 \\ \\ \rightarrow3+\frac{h+1}{H+1}=C_h \\ \\ \Rightarrow3+\frac{h+1}{H+1}=\frac{h}{H} \end{gathered}\)

Solving for h, we'll get an expression for the number of students asigned to a certain number of teachers:

\(\begin{gathered} 3+\frac{h+1}{H+1}=\frac{h}{H} \\ \\ \rightarrow\frac{3H+3+h+1}{H+1}=\frac{h}{H}\rightarrow\frac{3H+h+4}{H+1}=\frac{h}{H} \\ \\ \rightarrow H(3H+h+4)=h(H+1) \\ \rightarrow3H^2+hH+4H=hH+h \\ \rightarrow3H^2+4H=h \\ \\ \Rightarrow h=3H^2+4H \end{gathered}\)

Now, we can choose any number of teachers that we want, and we'll get the corresponding number of students that make the dean's statements correct.

For instance, we can choose 10 teachers, and we'll get that:

• There were 10 teachers and 340 students in the fall semester

,

• There were 11 teachers and 341 students in the fall semester

1) If Donkey Kong is on a bridge 638 feet in the air, 6 seconds after a shell
was released, which shell hit Donkey Kong and how do you know?
+

Answers

Answer:

5000inches

Step-by-step explanation:

i think is that!

-8/9 + (-2)/57
find the absolute value of the following rational number

Answers

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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coordinates easy - please help me :)

coordinates easy - please help me :)

Answers

Answer:

Step-by-step explanation:

   starting          after        after         after

coordinates   reflection rotation   translation

      (x,y)              (x,-y)         (-y,-x)     (-y-2,-x-4)

A    (-2,1)             (-2,-1)         (-1,2)        (-3,-2)

B     (2,1)              (2,-1)         (-1,-2)        (-3,-6)

C    (2,-1)               (2,1)          (1,-2)         (-2,-6)

D    (-2,-1)              (-2,1)          (1,2)          (-2,-2)

find the value 4/25 1/2

Answers

Answer:

2/5

Step-by-step explanation:

we know any number raised to power 1/2 means that we need to find the square root of that number.

(4/25)^1/2= =√(4/25)√4/√25

√4=2

√25=5

√(4/25=2/5

(hope this helps can i plz have brainlist :D hehe)

Circle A has been transformed to Circle B.
What is the scale factor of Circle A to Circle B?
Scale Factor
=
Image Radius
Pre- Image Radius

Circle A has been transformed to Circle B.What is the scale factor of Circle A to Circle B?Scale Factor=Image

Answers

Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

. What would be the new coordinates if (-2,-4) is translated 5 units up and
7 units to the left.

Answers

Answer:

(-9, 1)

Step-by-step explanation:

translating UP is to increase on the y axis, so -4+5=1

translating to the LEFT is to subtract on the x axis so-2-7=-9

-9, 1 I think is the correct answer

Determine the margin of error in estimating the population mean, μ . A sample of 74 college students yields a mean annual income of Assuming that , find the margin of error in estimating μ at the 99% level of confidence.

Answers

Answer:

$253

Step-by-step explanation:

Margin of error is the critical value times the standard error.

MoE = z × σ/√n

At 99% confidence, z = 2.576.

MoE = 2.576 × 844/√74

MoE = 253

Determine the margin of error in estimating the population mean, . A sample of 74 college students yields

The length of a rectangle is three times its width. If the perimeter is 132 inches, what is the length of the rectangle?
1. 48 inches
2. 16.5 inches
3. 49.5 inches
4. 18 inches

Please give an explanation (Do not just give an answer and take points or you will get reported)

Thank you :D

Answers

Given the perimeter, the numerical length of the rectangle is 49.5 inches.

Hence, option 3) 49.5 inches is the correct answer.

What is the length of the rectangle?

The perimeter of a rectangle is expressed mathematically as;

P = 2( l + w )

Given the data in the question;

Let "x" represent the width of the rectangle.

Width w = xLength l = 3 × x = 3xPerimeter P =  132 inches

To determine the length of the rectangle, first plug the given values into the formula above and solve for x.

P = 2( l + w )

132 = 2( 3x + x )

Apply distributive property

132 = 2(3x) + 2(x)

132 = 6x + 2x

132 = 8x

8x = 132

x = 132/8

x = 16.5

Now, the length of the rectangle will be;

Length l = 3x

Length l = 3( 16.5 )

Length l = 49.5 inches

Given the perimeter, the numerical length of the rectangle is 49.5 inches.

Hence, option 3) 49.5 inches is the correct answer.

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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

The length KL is 8 units

The value of x is undefined

The length KL is 12 units

Calculating the length KL

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

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Calculating the value of x

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Calculating the length KL

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

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Point A is located at (1, 2). Point B is located at (4, 6). Use this information to determine the length of the line, rounded to the nearest whole number.

Answers

If Point A is located at (1, 2) and Point B is located at (4, 6), the length of the line between points A and B is 5 units.

To determine the length of the line between points A and B, we can use the distance formula, which is a formula used to calculate the distance between two points in a coordinate plane. The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.

Using the coordinates of points A and B, we can substitute their values into the distance formula to find the length of the line between them:

d = √((4 - 1)² + (6 - 2)²)

d = √(3² + 4²)

d = √(9 + 16)

d = √25

d = 5

Rounded to the nearest whole number, the length of the line is also 5 units.

In conclusion, we can use the distance formula to find the length of the line between two points in a coordinate plane. The distance formula uses the coordinates of the two points to calculate the distance between them. The resulting distance can be rounded to the nearest whole number, if needed.

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Pls get this right I give brainliest

Pls get this right I give brainliest

Answers

Answer:

5/8 - 6/8, which is the second option

Step-by-step explanation:

Answer:

5/8- 6/8

Step-by-step explanation:

Choose the symbol that goes in the blank to make the statement true.
96,000 _ 128,000 = < >

Answers

Answer:

<

Step-by-step explanation:

hhahaha

how do you find the percent of discount if the original price is $578 and the sale price is $78.76

Answers

Answer: 86%discount approx

Step-by-step explanation:

You need to think about how the original price (578) is 100% of the price and that the sale price (78) is just a percentage of that. To discover how much of that 100% the price 78 is, you can write the formula:

578:100=78:x

X=(78*100)/578

X=14 %

Once you know that 78 represents the 14% of the whole price (100%-578) you just have to subtract that amount from the whole to understand which percent of discount has been applied: 100-14 = 86%

A random survey of autos parked in the student lot and the staff lot at a large university classified the brands by county of origin, as seen in the accompanying table. Are there differences in the national origins of cars driven by students and staff?

Answers

Yes there is difference in the national origins of cars driven by students and staff, and that is 31 cars.

Following is the table showing the data of the survey of auto parked in the student lot and the staff lot, classified the brands by the country of origin. we can see that total number of car of all the given countries, driven by the students is 195. And the total number of car of all the given countries, driven by the staff is 164.

So the difference is 195 - 164 = 31 cars.

--The given question is incomplete, the complete question is

"A random survey of autos parked in the student lot and the staff lot at a large university classified the brands by country of origin, as seen in the accompanying table. Are there any difference in the national origins of cars driven by students and staff?

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A random survey of autos parked in the student lot and the staff lot at a large university classified

1. Mr. C has a square soccer field. The length of the soccer field is 18 feet.
What is the area of the soccer field:,
What is the perimeter of the soccer field

Answers

Answer:

Area = 324ft²

Perimeter = 72ft

Step-by-step explanation:

Area of a square = length²

Area of a square = (18ft)² = 324ft²

Perimeter of a square = 4*length

Perimeter of a square = 4ft*18 = 72ft

What is the equation of the line that has a slope of -2 and passes through the point (-1, 2)?
y = -2x − 4
y = -2x
y = -2x + 4
None of these choices are correct.

Answers

Answer:

The answer is

\(y = 2x\)

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

\(y - y_1 = m(x - x_1)\)

where

m is the slope

( x1 , y1) is the point

From the question the point is (-1 , 2) and the slope is - 2

The equation of the line is

\(y - 2 = - 2(x + 1) \\ y - 2 = - 2x - 2 \\ y = - 2x - 2 + 2\)

We have the final answer as

\(y = 2x\)

Hope this helps you

Cuanto mide el largo de un rectángulo cuyo perímetro es 16cm y su área 12 cm al cuadrado ?

Answers


Hay dos rectángulos posibles que satisfacen las condiciones dadas: uno de 2 cm de largo y 6 cm de ancho, y otro de 6 cm de largo y 2 cm de ancho.

¿De qué número 64 es el 80%?

Answers

80 is the number 80*.8=64

How many different sums of money can be made from 4coins of different denomination



Answers

Answer:

15 different sums

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

There are various combinations of coins.

1 coin:4 options2 coins:4C2 = 4!/(2!2!) = 6 options3 coins:4C3 = 4!/(3!1!) = 4 options4 coins:  1 option

In total there are:

4 + 6 + 4 + 1 = 15 different sums

Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according toE = 6,400p − 80p2.a)Because E represents consumer expenditure, only values of E ≥ 0 have meaning. For what p-values is E ≥ 0? (Enter your answer using interval notation.)

Answers

As per the given expenditure, the p value is 80

The term p value refers a number, calculated from a statistical test, that describes how likely you are to have found a particular set of observations if the null hypothesis were true.

Here we have given that suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to

E = 6,400p − 80p2.

where E represents consumer expenditure, only values of E ≥ 0 have meaning.

And we need to find value of P.

Through the given question we have identified the function of the following,

=> E = 6,400p − 80p²

Here we have to take p as common variable then we get,

=> E = p (6400 - 80p)

Now, take 80 as the common value then we get

=> E = 80p(80 - p)

When we equate this one with zero, then ew get

=>  80p(80-p) = 0

=> 80 - p = 0

Therefore, p is 80.

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The average velocity of the car expressed in SI unit will be The implication of efficient capital markets and a lack of superior analysts have led to the introduction of i need plz help fast Assume table has been declared and initialized as a two-dimensional integer array with 9 rows and 5 columns. Which segment of code will correctly find the sum of the elements in the fifth column? (2 points)int sum = 0;for(int i = 0; i < table.length; i++)sum += table[4][i];int sum = 0;for(int i = 0; i < table.length; i++)sum += table[i][4];int sum = 0;for(int i = 0; i < table[0].length; i++)sum += table[i][4];int sum = 0;for(int outer = 0; outer < table[0].length; outer++)for(int inner = 0; inner < table.length; inner++)sum += table[outer][4];int sum = 0;for(int outer = 0; outer < table.length; outer++)for(int inner = 0; inner < table[0].length; inner++)sum += table[outer][4]; These are conditions that can result from a drop in hormones like estrogen andprogesterone and are intensified by the two central experiences of newparenthood. __, deprivation and anxiety.O foodO sleepO social Expand the following expressions and write in standard form. Show your work.a) (3x + 2)(1 - 4x)b) (x - 5)^2(2x + 7) How do auxins cause plants to bend? A) Auxins make plant cells grow larger towards the light causing it to bend. B) Auxins make plant cells grow heavier causing it to tip on one side. C) Auxins cause plants to grow wider. D) Auxins cause plant cells to shrink on one side making it less heavy, which tips the plant on the other side. The strength of the electric field 0. 5 m from a 6 C charge is _______ N/C. (Use k = 8. 99 109 Nmeters squared per Coulomb squared and round answer to the nearest whole number. ) 215760 539400 697976 512356. Whats the correct answer ?? What does the Merge and Center feature do? Check all that apply.O adds borders to a group of cells in a rangeO centers an image in the middle of a worksheetO combines multiple cells into a single cellO centers the alignment of text in the cellThe answer is the last 2 this question just isn't on brainly so I thought i'd add it What inspires people to be courageous? what is diffuse reflection? true or false? signature-based intrusion detection systems (idss) compare current activity with stored profiles of normal What is an example of an imbalance of situated social power, according to stephanie coontz? (The following passage is excerpted from an essay by a twentieth-century American author.) In France, on a rented canal boat, my friends and I gazed in despair at the closed oaken gates of the lock. Wed come to them only seconds after the witching hour of noon, but we were too late. There was no one to open the lock for us; lclusire1 was at lunch, and after lunch she would lay herself down, close her eyes, and nap. At two, but not before, she would emerge refreshed from her square granite house and set the great cogs in motion. We tied the boat up to a spindly bush beside the towpath and waited. And waited. It was high haying season, but the fields lay empty of farmers. The roads lay empty of trucks. France lunched, and then slept. So did Spain. So did much of the civilized world. If wed been differently nurtured we too would have taken a nap, but we were Americans, condemned from the age of four to trudge through our sleepless days. Americans are afraid of naps. Napping is too luxurious, too sybaritic,2 too unproductive, and its free; pleasures for which we dont pay make us anxious. Besides, it seems to be a natural inclination. Those who get paid to investigate such things have proved that people deprived of daylight and their wristwatches, with no notion of whether it was night or day, sink blissfully asleep in midafternoon as regular as clocks. Fighting off natural inclinations is a major Puritan3 virtue, and nothing that feels that good can be respectable. They may have a point there. Certainly the process of falling asleep in the afternoon is quite different from bedtime sleep. Whether this is physiological or merely a by-product of guilt, its a blatantly sensual experience, a voluptuous surrender, akin to the euphoric swoon of the heroine in a vampire movie. For the self-controlled, its frighteninghow far down am I falling? will I ever climb back? The sleep itself has a different texture. Its blacker, thicker, more intense, and works faster. Fifteen minutes later the napper pops back to the please help all of my piont help mepleeeeeeeeeeeeeeeeeeeeeeeeeaaaaaaaaaaaaaaaaaasse Subtract the matrices. What number fills in ?