424 divided by 3243.6

The charge q is ±7.46 × 10⁻⁷C.

Give:

Take a look at the charge on the left. The following forces are at work in response to this charge:

(Refer to the diagram below)

Because the charge is in equilibrium, the charge's vertical and horizontal forces must be zero.

We have the following in the vertical direction:

[tex]\begin{aligned}T \cos 20^{\circ} &=W \\\Rightarrow T &=\frac{m g}{\cos 20^{\circ}} \\&=\frac{3.0 \times 10^{-3} \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{s}^2}{\cos 20^{\circ}} \\&=3.13 \times 10^{-2} \mathrm{~N}\end{aligned}[/tex]

Coulomb's Law states that the electrostatic force between two point charges, q₁, and q₂, separated by r is given by the equation:

[tex]\begin{aligned}F &=\frac{q_1 q_2}{4 \pi \epsilon_0 r^2} \\&=\frac{K q_1 q_2}{r^2}\end{aligned}[/tex]

Here,

Using trigonometric personalities, the distance between any two charges is:

[tex]\begin{aligned}r &=2 l \sin 20^{\circ} \\&=2 \times 1.0 \mathrm{~m} \times 0.342 \\&=0.684 \mathrm{~m}\end{aligned}[/tex]

We have the following in the vertical direction:

[tex]\begin{aligned}F_e &=T \sin 20^{\circ} \\\Rightarrow \frac{K q_1 q_2}{r^2} &=T \sin 20^{\circ} \\\Rightarrow \frac{K q^2}{r^2} &=T \sin 20^{\circ} \\\Rightarrow q^2 &=\frac{r^2 T \sin 20^{\circ}}{K} \\&=\frac{(0.684 \mathrm{~m})^2 \times 3.13 \times 10^{-2} \mathrm{~N} \times \sin 20^{\circ}}{9 \times 10^9 \mathrm{~N} \cdot \mathrm{m}^2 / \mathrm{C}^2} \\&=55.65 \times 10^{-14} \mathrm{C}^2 \\\Rightarrow q &=\pm 7.46 \times 10^{-7} \mathrm{C}\end{aligned}[/tex]

Therefore, the charge q is ±7.46 × 10⁻⁷C.

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The correct question is given below:
Two 3.0g point charges on 1.0m - long threads repel each other after being equally charged, as shown in the figure. What is the charge q?

Answer:

everything is going to beat

Answer:

267.948

Step-by-step explanation:

But looking at the question, it wants us to convert feet to kilometers and seconds to hours. First let's start with feet, 1 foot is equal to about .305 meters. Okay we can set up an equation to find out  what we should do so since its asking us to convert 245 feet into meters. We need to put the units in it for this. We need to get rid of the feet and replace it with meters. The only way to get rid of the feet is dividing it by feet. However, we are also trying to put it into meters. As I wrote earlier, 1 foot is equal to .305m so we can just plug it in. The ft cancel out and all we need to do is just multiply. Since 1 feet is .305 meters, we can just multiply 245 by .305 to get 245 feet in meters. It would be about 74.73. Okay, we have it in meters, but it is asking for kilometers. We need to do the same process again. We should remember that 1000 meter are in 1 kilometer. We need to convert the meters into kilometers then seconds into hours. We can use the same process here. The unit you are cancelling out always has to be on the bottom. Okay, that just leaves 74.43 x (1/1000), or it can be just 74.43/1000 and both are the same thing. You're trying to get feet into kilometers, so the number should be pretty small. There are 1000 meters in 1 kilometer, so you need to divide the meters by 1000 to put it into kilometers. That's basically what we are doing here but with units. That comes out to be .07443, not our final answer though. We just need to convert seconds to hours which is easy. We know that 60 seconds is in a minute and 60 minutes are in the hour. Now we just need to multiply these 2 together. 60 x 60 = 3,600. If we look at the question its saying kilometers per hour. So we have to divide the kilometers by the 3600. 3600 seconds is equal to 1 hour and .07443 km is still in per second since we didn't change it. 3600 has to be on top because we have to cancel out the units. This is why I put the units. Okay that just leaves .07443 x 3600. When we solve .07443 x 3600 we would get our final answer. (Remember the steps: we first converted feet into meters, then into kilometers. then we converted seconds into hours)

.07443 x 3600 = 267.948 Therefore our final answer is 267.948.

Answer:

x>5_1 =4ans answer is these

To establish whether findings from a sample may be extrapolated to the entire population, we use inferential statistics.

A population is the total group about which you want to reach conclusions. A sample is the specific group from which you will collect data. Always, the sample size is less than the whole population. The term "population" in research rarely refers to people. Using an office as an example, all of the employees would represent the Population, and all of the managers would represent the Sample. To create a comparison, picture your population as an ocean, and your sample as an aquarium.

Inferential statistics is a branch of statistics that uses data to draw inferences and generalizations about a certain situation or fact.

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Diameter = GK

Radius= JL

Chord= HI

JL=3

A circle is a fundamental 2D form whose radius is quantified. The interior and exterior parts of the aircraft are separated by the circles. It is similar to the type of line segment. Consider the line segment being bent till the ends meet. Make sure the loop is perfectly circular by arranging it.

A two-dimensional figure with an area and perimeter is a circle. The distance around a circle, or its circumference, is also known as its perimeter. The area of a circle is the area that it surrounds on a 2D plane.

radius = diameter /2

Diameter = GK

Radius= JL

Chord= HI

Since radius is half of diameter,

So, JL =GK/2 =6/2

                        = 3

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The statement 'Revenue management methodology was originally developed for the banking industry.' is False.

The revenue Management is an analytics technique.

This technique is used to predict consumer behavior at the micro-level, which is ultimately useful in optimizing the product availability and pricing and maximize revenue growth.

This methodology is used by companies in certain industries, particularly those with fixed costs and capacity and products or services that expire.

It is the operational procedures and practices that maximize revenues without creating additional products or services.

Therefore, The statement 'Revenue management methodology was originally developed for the banking industry.' is False.

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The measure of ∠B = 189°

Here it is given that

∠A = (5x + 24)° and ∠B = (6x - 5)°

∠A and ∠B are vertical angles

Since vertical angles are always equal so

      ∠A = ∠B

5x + 24 = 6x - 5

add +5 on both sides, we get

5x + 24 + 5 = 6x - 5 + 5

     5x + 29 = 6x

add -5x on both side, we get

   5x - 5x + 29 = 6x - 5x

   x = 29

Now put the value of x in 6x - 5

6 × 29 - 5 = 189

The measure of ∠B = 189°

According to the vertical angle theorem, the vertical angles that are created when two lines intersect are congruent. There are equal amounts of vertical angles. For instance, if a, b, c, and d are the four angles created by two intersecting lines and a, b, and c are vertically opposed to d and c, respectively, then a, b, and c are congruent to d.

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The independent quantity is the height of the baton and the dependent quantity is the seconds she has to twirl.

The independent variable is the variable that the person carrying out an activity can change or manipulate. It is the independent quantity that determines the dependent quantity.

The dependent variable is the variable that is being measured in an experiment. The dependent quantity is usually affected by the independent quantity.

In this question, the height of the baton determines the time she has to twirl. The higher the baton goes, the longer the time she has to twirl. This makes the height of the baton the independent quantity and the time she has to twirl the dependent quantity.

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Answer:

[tex]\textsf{A)} \quad x=-2, \:\:x=\dfrac{5}{2}[/tex]

[tex]\textsf{B)} \quad \left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)[/tex]

C)  See attachment.

Step-by-step explanation:

Given function:

[tex]f(x)=2x^2-x-10[/tex]

To factor a quadratic in the form  [tex]ax^2+bx+c[/tex] , find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex] :

[tex]\implies ac=2 \cdot -10=-20[/tex]

[tex]\implies b=-1[/tex]

Therefore, the two numbers are -5 and 4.

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies f(x)=2x^2-5x+4x-10[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies f(x)=x(2x-5)+2(2x-5)[/tex]

Factor out the common term  (2x - 5):

[tex]\implies f(x)=(x+2)(2x-5)[/tex]

The x-intercepts are when the curve crosses the x-axis, so when y = 0:

[tex]\implies (x+2)(2x-5)=0[/tex]

Therefore:

[tex]\implies (x+2)=0 \implies x=-2[/tex]

[tex]\implies (2x-5)=0 \implies x=\dfrac{5}{2}[/tex]

So the x-intercepts are:

[tex]x=-2, \:\:x=\dfrac{5}{2}[/tex]

The x-value of the vertex is:

[tex]\implies x=\dfrac{-b}{2a}[/tex]

Therefore, the x-value of the vertex of the given function is:

[tex]\implies x=\dfrac{-(-1)}{2(2)}=\dfrac{1}{4}[/tex]

To find the y-value of the vertex, substitute the found value of x into the function:

[tex]\implies f\left(\dfrac{1}{4}\right)=2\left(\dfrac{1}{4}\right)^2-\left(\dfrac{1}{4}\right)-10=-\dfrac{81}{8}[/tex]

Therefore, the vertex of the function is:

[tex]\left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)[/tex]

Plot the x-intercepts found in Part A.

Plot the vertex found in Part B.

As the leading coefficient of the function is positive, the parabola will open upwards.  This is confirmed as the vertex is a minimum point.

The axis of symmetry is the x-value of the vertex.  Draw a line at x = ¹/₄ and use this to ensure the drawing of the parabola is symmetrical.

Draw a upwards opening parabola that has a minimum point at the vertex and that passes through the x-intercepts (see attachment).

Answer:

1/8

Step-by-step explanation:

(3/4)÷6

3/24

1/8

Answer: 4500

Step-by-step explanation:

Answer:

The student is correct. The perimeter of a figure is found by adding the length of it's sides. For the rectangle, the perimeter is 4x+8. For the square, the perimeter is 4x+8

Step-by-step explanation:

Perimeter for rectangle:

2(x+4) + 2x

2x + 8 + 2x

4x + 8

Perimeter for the square:

4(x+2)

4x + 8

Using the diameter concept, we have that the correct option is given by:

The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

The diameter of a circular or spherical object is the largest distance that can be formed between two parallel lines to it's boundary, hence, basically, the lateral distance occupied by the object.

For this problem, the diameter is in inches, while the available box is in cm, hence we have to convert the diameter to cm.

Each inch has 2.54 centimeters, hence the diameter of ball is of 9.55 x 2.54 = 24 (approximately) < 25, hence it will fit and the correct option is given by:

The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

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Answer:

-13.6

Step-by-step explanation:

Use the keep change change method when subtracting negative number. So, it would look like this: -6.4 + -7.2 = -13.6.

After adding them, just add a negative sign in front of your answer since you're adding two negative numbers.

Let me know if you don't understand or need more explanation.

Answer:

$303 0cents

Step-by-step explanation:

237 + 128 -62 = 303

The amount Julie has to spend after buying the chair is $303.

The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations.

As per the given data:

We are given the details of the transactions that Julie did.

We have to find out the remaining amount of money that is left with Julie after the transactions.

Initial amount that Julie had to spend (A) = $237

Amount received as a refund after returning that calculator (B) = $128

Price that had to be paid to buy a chair (C) = $62

For finding out money in dollars and cents did Julie have to spend after buying the chair:

= A + B - C

= 237 + 128 - 62

= 365 - 62

= 303

The amount Julie has to spend after buying the chair is $303.

Hence, The amount Julie has to spend after buying the chair is $303.

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Answer:

The function h(x) =x^2-x-2/ x^2-x-6=

E.-2 and 3

Answer:

Step-by-step explanation:

There are 25 numbers between and including 1-25, so there are 25 possibilities. The possible outcomes are:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Answer:

predict the impact of removing snakes from this food web

By using subtraction, Brenda needs an additional amount of $ 182.75 for the school trip.

In this question we notice that Brenda is aware of how much money she needs to make her school trip and besides we find a table with all the money saved during a 4-month period. Lastly, we must determine if the amount of money saved by Brenda is sufficient or not.

The money needed for the school trip is:

y = $ 197 + $ 230 + $ 85

y = $ 512

And the money saved by Brenda is:

x = $ 67 + $ 30.50 + $ 160 + $ 71.75

x = $ 329.25

Then, the additional money needed for Brenda is found by subtacting the second result from the first result:

z = y - x

z = $ 512 - $ 329.25

z = $ 182.75

Brenda needs an additional amount of $ 182.75 for the school trip.

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Answer:

Corrected - didn't see the 10 to the negative 2 in the denominator at first - sorry)

8000

Step-by-step explanation:

Simplify

5.12 x 10 ^6/ 1.6 X 10 ^5 X (.4 X 10^-2)

Do the math

3.2 x 10/.04 x 1- ^-2)

Simplify

8 X 10^3

Simplify

8000

Answer:

84.42

Step-by-step explanation:

21 times 4.02

= 84.42

Answer: $84.42

Step-by-step explanation:21x 4.02

Answer:

x = 20

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

The value of x is 20.

Answer:

Whats 'new'?

Step-by-step explanation:

Answer :                                                                                                              500,000                                                                                                                       450,000                                                                                                                        453,000                                                                                                                                       452,900                                                                                                                                         452,910                                                                                                                                                                                                                                                                                step-by-step explanation:

look to the right one digit of the place they are asking to round . if it is either greater than or equal to5, then you round up the place they want. if it is not, then it says the same. then all he number to right of it becomes 0s.

Answer:

Step-by-step explanation:

Lets see here, this question is a bit confusing to understand, But Ill work at it for you ^^

So at that first line that says ones, you are going to want the middle lint horizontal on that vertical line to be labeled 5.

Slightly above that, more near to the top you are going to want to write 85.

On the second Line drawn you are going to want to label the middle horizontal line 4

Above that, near the top write 854

The rounded number of 8.546 Would Be 9, Because since the tens place is a 5, you round up a number.

for question 3. a

the answer would be   18.4 if you round to the tenths, or 18.39

This is because the number in the thousands place is a 6, and thats 5 or above so you round the hundreths up 1 to become 9, and 9 is 5 or above so the 3 would become a 4(only if rounding to the tenths!!)

For question 3. b

1 meter = 100 centimeters, so we would multiply 18.386 by 100

That would shift the decimal point to the right 2 places (if you don't want to have to do the multiplying, rule of thumb is one 0 shifts one place to the right, you shift however many places as there are zeroes)

This would give us 1838.6 centimeters.

And I cant read question 4(sorry)

Hope this helps!!

Answer:

Thus, the value of x in the given triangle is 55°

Step-by-step explanation:

Given - Dimensions of triangle and angles

of triangle

Find - Value of x

Solution - The value of x in the given triangle is 55°.

As per the given dimensions of the triangle, the triangle is isosceles. This states that the neighbouring angle will be x° as well.

Thus, the mathematical expression of all the angles of a given triangle will be -

x + x + 80 = 190

2x + 80 = 190

2x = 190 - 80

2x = 110

x = 110/2

x = 55°

.

Answer:

2. All real numbers

Step-by-step explanation:

Hope this helps!

Please mark as brainliest if correct!

Answer:19.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 45.5

Step 1: 13 cups x 3.5 can = 45.5 cups