A particle (charge = +40 uc) is located on the x axis at the point x = -20 cm, and a second particle (charge = -50 uc) is placed on the x axis at x = +30 cm. What is the magnitude of the total electrostatic force on a third particle (charge = -4. 0 uc) placed at the origin (x = 0)?.

Answer:

A

Step-by-step explanation:

The inequality a ≤ 10 means all numbers that are less than or equal to 10 on the number line.

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

The number line contains numbers being marked at regular intervals. The integers are placed at equal intervals.

An inequality is an expression that is used to show the non equal comparison of numbers and variables.

The inequality a ≤ 10 represents all numbers that are less than or equal to 10.

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Answer:

0.18, 2/9, 23%, 0.25, 30%

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

28 time it's self is 784

Answer:

Step-by-step explanation:

convert in to cm:  (28 in)(2.54 cm/in) = 71.12 cm

radius = r = D/2 = 71.12/2 = 35.56 cm

A-circle = πr² = π(35.56)² = 3973 cm²    none of the answers shown are correct!

UNLESS is the diameter 28 cm??

If so, the solution is:

A = π(28/2)² = 615.7 cm²   again, none of the answers shown are correct!

You may want to double check your question

When the two segments have the equal lengths then they are called congruent segments.

As given in the question,

Let us consider two different segments named AB and CD.

Length of the segment AB is equal to 5 cm __(1)

Length of the segment CD is equal to ( 6 - 1 ) cm.

⇒Length of CD = 5cm __ (2)

Length of segment AB is equal to the length of segment CD.

⇒ measure of (AB ) = measure of (CD)

This implies that the two segment with the same length are called congruent to each other.

Therefore, the segment having equal length are called congruent segments.

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There are two powers of 7 in 10: 7^1 and 7^0. There are two different powers of 7 in 10: 7 to the power of 1 (7^1) and 7 to the power of 0 (7^0). 7^1 is equal to 7 and 7^0 is equal to 1.

1) 7^1 = 7

2) 7^0 = 1

7^1 and 7^0 are the two powers of 7 in 10.

There are two different powers of 7 in 10: 7 to the power of 1 (7^1) and 7 to the power of 0 (7^0). 7^1 is equal to 7 and 7^0 is equal to 1. These two powers together make up 10, which is the result of 7^1 multiplied by 7^0. By finding the two powers of 7 that are present in 10, we can quickly determine the answer to this question.

There are two powers of 7 in 10: 7^1 and 7^0. There are two different powers of 7 in 10: 7 to the power of 1 (7^1) and 7 to the power of 0 (7^0). 7^1 is equal to 7 and 7^0 is equal to 1.

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2+x=5. x+1=4. 5+x= negative 2

Step-by-step explanation:

Solve my getting X by itself to one side. you do this by moving the number on the side of the question. therefore you perform the inverse operation. inverse of addiction is subtraction and inverse of subtraction is addition.

2+x=5.

-2. -2

x=3

x+1=4

-1. -1

x=3

-5+x= -2

+5. +5

x=3

There is one right angle in the L angle.

A right angle is one that is 90 degrees in length. It is the most frequently encountered angle in our daily lives. It can be noticed in room corners, box edges, mobile phone screens, and so on.

A square's and a rectangle's sides always make a right angle with each other. It is represented in radians as /2.

The angle formed by two lines that are perpendicular to each other is called a right angle. A right angle is equal to 90° and is in the shape of the letter "L". In the following figure, ray AB and BC form a right angle ABC.

Thus, there is one right angle in the L angle.

Complete question: How many right angles are there in L angles?

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Answer:FX rtydf

V a s

Step-by-step explanation:gcvgvhjtv

ax

A scatter plot which represents relationship between the street distance (in centimeters) and weight (in Newtons) has been plotted in the image attached below.

In this scenario, the street distance (in centimeters) would be plotted on the x-axis (x-coordinate) of the scatter plot while the weight (in Newtons) would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

From the scatter plot (see attachment) which models the relationship between the street distance (in centimeters) and weight (in Newtons), a linear equation for the line of best fit is given by:

y = 1.30x - 2.30

In conclusion, we can reasonably infer and logically deduce that the scatter plot indicates a linear relationship between the street distance (in centimeters) and weight (in Newtons).

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In the bag, there are 30 oranges out of a total of 70 apples and oranges.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, In a bag of apples and oranges, the ratio of apples to oranges

is 4 : 3 and the total number of apples and oranges is 70.

Therefore, The number of oranges in the bag is,

= {3/(4 + 3)}×70.

= (3/7)×70.

= 3×10.

= 30 oranges.

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In 33 weeks, they will have sold 150 units.

What is sales of products?

Selling a good or service in exchange for cash, a benefit, or some other kind of payment is known as product sales. When a customer purchases a good or service that will meet their needs, the transaction is known as a product sale. The quantity of goods sold during a specific time period aids in calculating product sales.

Step by Step Explaination:

Equation that models the sales of the product

The equation that models the sales of the product after an initial release exists:

s = 12√4 + 10

where s denotes the total sales (in thousands)

t denotes the time in weeks

you want to replace the s with 150 in the equation and then just solve

for t.

150 = 12√4t + 10

Subtract 10 from both sides

150 - 10 = 12√4t + 10

140 = 12√4t

Divide both sides by 12      

11.66= √4t  

Taking square root on both sides of the equation.    

135.95 = 4t      

Now divide both sides by 4

33.98 = t (approximately).

so in 33 weeks, they will have sold 150 units.

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Based on the values in the table represent a linear function, the common difference of the associated arithmetic sequence is 15.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ = a₁ + (n - 1)d

Where:

Based on the information provided in the given table, we can calculate the common difference by subtracting the first term from the second term as follows;

Common difference, d = a₂ - a₁ = a₃ - a₂

Common difference, d = 23 - 8 = 38 - 23

Common difference, d = 15.

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the Answer  is   u=-5  

am not smart

Rearrange the equation.

4u +2u - 7 = 8u + 3

Combine like terms.

6u - 7 = 8u + 3

Add 7 to both sides.

6u = 8u + 10

Subtract 8u from both sides.

-2u=10

Now divide both sides by -2.

u= -5

If Oliver chooses four of his toy cars and measures their wheel length , and  If he divide circumference by diameter for each of his wheel length, then he would find that (c) each time Oliver will get 3.14  .

let radius of circular wheel be = r ;

the diameter of the circular wheel will be = 2r ;

So , the circumference of the wheel is = 2πr ;

on dividing circumference by the diameter for each of his wheel length ,

we get ;

= [tex]\frac{2\pi r}{d}[/tex]  ;

Substituting the value of diameter, d = 2r ;

we get ;

= [tex]\frac{2\pi r}{2r}[/tex] ;

After simplification ,

we have ;

= π .

We know that,  value of [tex]\pi[/tex] is  [tex]3.14[/tex]  .

Therefore , On dividing each time we will get 3.14  .

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To develop a theory on the relationship between birth week and movie preference, the next steps would be to:

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Note that the answer choice that are included in the steps to organize information are:

A. Organizing the problem and determining the question is an important step in problem-solving because it allows you to comprehend the problem and what you need to discover.

C. Writing down the facts, organizing your thoughts, and defining your strategy is also an important step in problem-solving because it allows you to see what information you have and how you will approach the problem.

D. Organizing the steps and underlining the question is also important in problem-solving because it allows you to have a clear understanding of the various steps you must take and the question you must answer.

B. Although it is not included in the steps to organize your information, solving the problem and changing your strategy if necessary is an important step.

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Full Question:

The problem-solving plan identifies steps to organize your information. Which of the following answer choices are included in the steps to organize your information?

A. Organize the problem and find the question.

B. Solve the problem and change your strategy if necessary.

C. Write the facts, organize your thoughts and define your strategy.

D. Organize the steps and underline the question.

Answer:

  176 +80√5

Step-by-step explanation:

You want the exact value of (1 +√5)^5.

The coefficient of the expansion are found in Pascal's triangle (attached). Row 5 is used for the 5th power:

  (a +b)^5 = a^5 +5·a^4·b + 10·a^3·b^2 +10·a^2·b^3 +5·a·b^4 +b^5

When a = 1 and b = √5, this becomes ...

  (1 +√5)^5 = 1 + 5·√5 +10·5 + 10·5√5 +5·25 +25√5

  = (1 +50 +125) +(5 +50 +25)√5

  (1 +√5)^5 = 176 +80√5

just a quick addition to "sqdancefan" superb reply above

[tex]\qquad \qquad \textit{binomial theorem expansion} \\\\ \qquad \qquad (1+\sqrt{5})^{5}~\hspace{4em} \begin{array}{clcl} term&coefficient&value\\ \cline{1-3}&\\ 1&+1&(1)^{5 }(\sqrt{5})^0\\ 2&+5&(1)^{4}(\sqrt{5})^1\\ 3&+10&(1)^{3}(\sqrt{5})^2\\ 4&+10&(1)^{2}(\sqrt{5})^3\\ 5&+5&(1)^{1}(\sqrt{5})^4\\ 6&+1&(1)^{0}(\sqrt{5})^5 \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]1(1)+5(1)(\sqrt{5})^1+10(\sqrt{5})^2+10(1)(\sqrt{5})^3+5(\sqrt{5})^4+(\sqrt{5})^5 \\\\\\ 1+5\sqrt{5}+50+50\sqrt{5}+125+25\sqrt{5}\implies {\Large \begin{array}{llll} 176+80\sqrt{5} \end{array}}[/tex]

An object moves in a straight line at a constant speed when it is in uniform motion. In this equation, the units of length used to measure distance are meters or kilometers, the units of velocity are meters per second or kilometers per hour, and the units of time are seconds or hours. Given an object's speed, this formula can be used to determine how far the object will go in a given amount of time.

 It's also crucial to keep in mind that this formula is only accurate for motion that is uniform .

 The distance formula for uniform motion is:

Distance = Speed x Time

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Other than itself, ∠FGE is an angle that is congruent to ∠FGB.

Angles that are congruent with one another include two or more angles. This means that the dimensions of these angles are same. Angles can be acute, obtuse, exterior, or interior, and the congruence of angles is unaffected by their type. Congruent angles aren't always supplementary angles, in general. Angles must be complementary in order for the sum to be 180. Since right angles and supplementary angles have the same measure and sum up to 180, they are the only angles that can be said to be congruent.

Because ∠FGE and ∠FGB are supplementary angles, so they add up to 180 degrees. Because angle ∠FGE is 90 degrees, or a right angle, that means ∠FGB must also be 90 degrees. This makes them congruent.

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33 out of 60 customers said they liked neither the service nor the food.

At a restaurant on one evening, 60 customers were surveyed about their experience. Of those customers, 41 said they liked the service, 49 said they liked the food, and 37 said they liked both the service and the food.

To answer the question of how many said they liked neither the service nor the food, we can subtract the numbers of those who liked the service, food, or both from the total number of customers.

60 customers - 41 who liked the service - 49 who liked the food - 37 who liked both = 33 customers who liked neither the service nor the food.

In conclusion, 33 out of 60 customers said they liked neither the service nor the food at the restaurant on the evening in question. This data shows that the majority of customers enjoyed their experience, with over two-thirds of customers liking either the food, the service, or both.

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Diameter is the length of the line segment that divides a circle in half, and circumference is the length of one complete "lap" around a circle.

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Answer: The value of f(-1) is equal to 5(-1)^2 + (-1) + 4 = -5 + (-1) + 4 = -2

Step-by-step explanation:

To evaluate f(-1), we substitute -1 for x in the function f(x)=5x^2+x+4. This gives us f(-1)=5(-1)^2+(-1)+4. We simplify this by applying the exponent first, so (-1)^2=1. Then we substitute the result in the function, which gives us f(-1)=5(1)+(-1)+4. Now we can simplify it by adding and subtracting the values which gives us f(-1)=5+(-1)+4=8.

Let's consider what the question asks for:

 --> value of y when x = 45

In the equation: we need to find the value of 'a' and 'b'

 --> lets plug our other known value to find 'a' and 'b'

      --> let's use the value of x = 90 and y = 4

          --> as cos(x) will equal zero and we can find the value for 'b'

                        [tex]y=a*cos(x)+b\\4=a*cos(90)+b\\4=0+b\\b=4[/tex]

      --> having found 'b', let's find 'a' with any other set of value

           --> lets use y = 10 when x = 0

                       [tex]10=a*cos(0)+4\\10=a*1+4\\10=a+4\\a=6[/tex]

Having found 'a' and 'b':

  --> let's plug in 'x = 45' in the equation to find its corresponding y-value

          [tex]y=6*cos(45) +4\\\\y = 6 * \dfrac{\sqrt{2} }{2} +4= 4 + 3\sqrt{2}[/tex]

Thus the value of y, when x = 45

   ==> Answer:

                       [tex]4 + 3\sqrt{2}[/tex]

Answer:

15 x 9 is equal to 14.6/9 nearest whole number

Step-by-step explanation:

Answer:

45-36=9x+√89+48x+7=0**≈≈1«»›8›√√›√--»46971»7

The solution set for a system of equations is the totality of all solutions.

A collection of values for the variable that simultaneously satisfy each equation in a system of equations is referred to as the solution. Finding all the sets of variable values that make up the system's solutions is necessary to solve a system of equations.

The collection of all solutions is known as the solution set for a system of equations. Finding every answer using formulas containing a certain number of parameters is the definition of system solving.

Equations that are dealt with all at once as a "system" are a set or group of equations. The simplest linear system is one with two equations and two variables. Linear equations are simpler than non-linear equations (those that graph as straight lines).

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The graph of the function f(x)  = x² is illustrated below.

The term function is defined as a relation between a set of inputs having one output each.

Here we have the function f(x) = x².

In order to plot the graph, we have to do the following steps.

Steps 1 is first we have to labels the x and y axis on the graph.

Then the second steps is to mark the values on the graph.

And then the third step is to make the table of values for the function by using the sample values.

Here the table for the given function is attached below.

Finally, we have to plot the graph by using the table. Then we get the graph like the following.

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Answer:

Step-by-step explanation:

Pedometer

Answer:

If someone get a 150% salary raise, it means that the current salary will be increased by 1.5 (150/100) from the current amount.

To demonstrate this, let's assume that someone's salary is $1000, if we increase it by 150% we must calculate 150% of $1000.

[tex]1000*150\%=1000*\frac{150}{100} =1500[/tex]

150% of $1000 is $1500, since the person wll get a 150% salary raise, it means that the actual salary INCREASES that value, the final salary of a person will be:

Final salary = previous salary + amount of increase

Final salary = $1000 + $1500

Final salary = $2500