A charge of 8 uC is on the y axis at 2 cm, and a second charge of -8 uC is on the y axis at -2 cm. х 4 + 3 28 uC 1 4 μC 0 ++++ -1 1 2 3 4 5 6 7 8 9 -2 -8 uC -3 -4 -5 -- Find the force on a charge of 4 uC on the x axis at x = 6 cm. The value of the Coulomb constant is 8.98755 x 109 Nm²/C2. Answer in units of N.

Answer:

When you split a number into its factors or divisors, that's factorization.

Step-by-step explanation:

If a case-control study were conducted to investigate the relationship between an exposure and a rare disease like neck cancer, the most likely relative measure that would be estimated is the odds ratio.

This is because the prevalence of neck cancer in the general population is low, which means that the incidence rate is also low. As a result, it is difficult to calculate the relative risk directly in a case-control study. Instead, the odds ratio is used as a measure of association between the exposure and the disease outcome.

The odds ratio is calculated by comparing the odds of exposure in cases to the odds of exposure in controls. The odds ratio can provide an estimate of the strength and direction of the association between the exposure and the disease outcome in the population being studied.

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Answer:

x>-6

Step-by-step explanation:

you can't solve any further if you don't know what "x" is

1) The probability that a sitcom will have 25 or more minutes of programming is 0.125.

2) The probability that a sitcom will have between 21 and 25 minutes of programming is 1.000.

3) The probability that a sitcom will have more than 10 minutes of commercials (or other non-programming interruptions) is 0.250.

To solve this problem, we can use the probability density function of a uniform distribution

f(x) = 1/(b-a) for a <= x <= b

= 0 otherwise

where a and b are the endpoints of the interval.

Given that the programming time for sitcoms follows a uniform distribution from 18 to 26 minutes, we have

a = 18

b = 26

Therefore, the probability density function for the programming time is

f(x) = 1/8 for 18 <= x <= 26

= 0 otherwise

1) P(X >= 25) = ∫(25 to 26) f(x) dx

= ∫(25 to 26) 1/8 dx

= [x/8] from 25 to 26

= (26/8) - (25/8)

= 1/8

Therefore, the probability that a sitcom will have 25 or more minutes of programming is 0.125.

2) P(21 <= X <= 25) = ∫(21 to 25) f(x) dx

= ∫(21 to 25) 1/8 dx

= [x/8] from 21 to 25

= (25/8) - (21/8)

= 1

Therefore, the probability that a sitcom will have between 21 and 25 minutes of programming is 1.000.

3) Since the total running time of a sitcom is 30 minutes and the programming time is uniformly distributed between 18 and 26 minutes, the time for commercials and interruptions is:

T = 30 - X

where X is the programming time.

Therefore, the probability of having more than 10 minutes of commercials and interruptions is

P(T > 10) = P(30 - X > 10)

= P(X < 20)

Using the cumulative distribution function (CDF) of the uniform distribution, we get

F(x) = (x - a)/(b - a) for a <= x <= b

= 0 for x < a

= 1 for x >= b

Therefore

P(X < 20) = F(20)

= (20 - 18)/(26 - 18)

= 2/8

= 0.250

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Answer:

answer is 113.04 \(cm^{2}\)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In this case, we use variables to represent the the cost of the big and the smaller boxes. Let x be the selling price of the big boxes while y be the selling price of the bigger boxes.

The total selling price of the smaller boxes is 20x. The total selling price of the bigger ones is 12y.

Now we know he is making a profit of $1,300

Hence in equation form, all the information above can be represented as:

20x + 12y = 1,300

Anthony's "hiring process" or "recruitment period" was 30 days.

The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.

The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.

In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.

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Answer:

B and D

Step-by-step explanation:

Answer:

wut

Step-by-step explanation:

The total number of frogs in the reservoir are 160.

What is Reservoir?

An enlarged lake behind a dam is a reservoir. Such a dam could be a man-made structure created to hold freshwater or it could be a natural formation.

Given:

Elanor wants to estimate the number of frogs in a reservoir.

She catches 90 frogs from the reservoir and marks them with a non-harmful dye.

Elanor then returns the frogs to the reservoir.

The next day she catches another 80 frogs and 10 of these are marked with the dye.

So on the first day the total frogs are 90.

On second day total frogs are 80 but 10 of them are dye, so the remaining are 70.

Therefore, the total frogs are 90 + 70 = 160.

Hence, the total number of frogs in the reservoir are 160.

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Answer:

7.5

Step-by-step explanation:

7.5 is greater than 7.05

Answer:

7.5 IS GREATER THAN 7.05

Answer:

A. Line r intersects line p

Step-by-step explanation:

to find the second graph multiply the slope of line p by -10

slope is 1/5 or 0.2

So,

0.2 * -10 = -2

slope of second line is -2

Graph shown

Altered line shown in blue

Line p shown in green

As you can see, they intersect and meet no other answers

Answer:

Step-by-step explanation:

\(3x^2+2x+11\)

Now, I think this is right. In order to solve a polynomial by factoring, you need to do the two numbers to multiply, two numbers to add type stuff. you cant do that here.

You can complete the square here but that still wouldnt factor it. Youd get \(3x^2+2x+1-12\), which is still unfactorable

Answer:

The answer is x = \(\frac{-5}{3}\).

Step-by-step explanation:

First, we expand the brackets. Therefore:

\(2x+6 = -4x+(-4)\)

\(2x+6 = -4x -4\)

Then, we separate the like terms:

\(2x+4x = -4-6\)

Then we add the like terms up and solve for x:

\(6x = -10\)

Therefore:

\(x = \frac{-10}{6}\)

which, simplified, is:

\(x = \frac{-5}{3}\).

The values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.

Therefore:

ON = LM

Substitute

7x - 5 = 6x + 4

Add like terms

7x - 6x = 5 + 4

x = 9

OL = NM

Substitute

8y + 3 = x + 6

Plug in the value of x

8y + 3 = 9 + 6

8y + 3 = 15

8y = 15 - 3

8y = 12

y = 12/8

y = 1.5

Therefore, the values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.

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Answer:

5

Step-by-step explanation:

keep change flip

   3         -       -2

3 + 2

\(\circ\sf\:-7x+y^3+7x^3+6x-3y^3-2x^3+3x\)

\(\circ\sf\:(-7x+6x+3x)+(y^3-3y^3)+(7x^3-2x^3)\)

\(\circ\sf\:(-7x+9x)+(-2y^3)+(5x^3)\)

\(\circ\sf\:2x-2y^3+5x^3\)

\(\circ\:\underline{\boxed{\bf{\blue{x(2-5x^2)-2y^3}}}}\)

Answer:

A.

Step-by-step explanation:

How to explain the word problem It should be noted that to determine if Jenna's score of 80 on the retake is an improvement, we need to compare it to the average improvement of the class. From the information given, we know that the class average improved by 10 points, from 50 to 60. Jenna's original score was 65, which was 15 points above the original class average of 50. If Jenna's score had improved by the same amount as the class average, her retake score would be 75 (65 + 10). However, Jenna's actual retake score was 80, which is 5 points higher than what she would have scored if she had improved by the same amount as the rest of the class. Therefore, even though Jenna's score increased from 65 to 80, it is not as much of an improvement as the average improvement of the class. To show the same improvement as her classmates, Jenna would need to score 75 on the retake. Learn more about word problem on; brainly.com/question/21405634 #SPJ1 A class average increased by 10 points. If Jenna scored a 65 on the original test and 80 on the retake, would you consider this an improvement when looking at the class data? If not, what score would she need to show the same improvement as her classmates? Explain.

we need to use the central limit theorem, which states that the distribution of the sample means of a large sample (n > 30) taken from a normally distributed population will also be normally distributed, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

we have a normally distributed population with a mean of 60 and a standard deviation of 10. We want to find the probability that the mean of a sample of 25 elements taken from this population will be smaller than 56. Using the central limit theorem, we can calculate the standard error of the mean as 10 / sqrt(25) = 2. Therefore, the z-score corresponding to a sample mean of 56 is (56 - 60) / 2 = -2. Therefore, the probability that the mean of a sample of 25 elements taken from this population will be smaller than 56 is 0.0228 or approximately 2.28%. A distributed population refers to a set of data points that follow a specific pattern. In this case, the population is normally distributed with a mean of 60 and a standard deviation of 10. To find the probability that the mean of a sample of 25 elements is smaller than 56, we'll use the concept of standard deviation.
Step 1: Calculate the standard error (SE) using the formula SE = (Standard Deviation) / √(Sample Size), which is SE = 10 / √25 = 2.
Step 2: Compute the z-score using the formula z = (Sample Mean - Population Mean) / SE, which is z = (56 - 60) / 2 = -2.
Step 3: Refer to a standard normal distribution table or use a calculator to find the probability corresponding to the z-score. In this case, the probability is approximately 0.0228 or 2.28%.

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To achieve the maximum volume for the open-top bin, squares measuring 6 inches should be cut out of each corner of the 32-inch by 42-inch plastic piece.

To find the optimal size of the square cutouts, we need to consider the dimensions of the plastic piece and the volume of the resulting bin. Let's assume that the square cutouts have a side length of 'x' inches.

Step 1: Determining the dimensions of the bin:

When the squares are removed from each corner and the flaps are folded up, the resulting bin will have a length of (42 - 2x) inches and a width of (32 - 2x) inches. The height of the bin will be 'x' inches.

Step 2: Calculating the volume of the bin:

The volume of the bin can be obtained by multiplying its length, width, and height. Therefore, the volume V(x) can be expressed as follows:

V(x) = (42 - 2x) * (32 - 2x) * x

Step 3: Finding the maximum volume:

To determine the size of the square cutouts that will yield the maximum volume, we need to find the value of 'x' that maximizes the function V(x).

To find the maximum, we can take the derivative of V(x) with respect to 'x' and set it equal to zero. By solving this equation, we can find the critical point that corresponds to the maximum volume.

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Answer:

The answer choice is D.

Step-by-step explanation:

Multiply 5 and 8

= 40

Then put d to 40

=40d

And also multiply 6 with 5

which equals to 30.

Now the expression would be: 40d + 30

(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

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If the space is two-dimensional: c. 4

If the space is one-dimensional: b. 1

If the space is four-dimensional: a. 7

In rigid-body physics, the location of a rigid body can be specified by three coordinates (x, y, z) in three-dimensional space. The orientation of a rigid body can be specified by three angles (roll, pitch, yaw) or by a rotation matrix.

If the space is two-dimensional, the location of a rigid body can be specified by two coordinates (x, y). The orientation can be specified by one angle or by a 2x2 rotation matrix. Therefore, the total number of coordinates required is 3.

If the space is one-dimensional, the location of a rigid body can be specified by one coordinate (x). Since there is only one dimension, there is no need to specify orientation. Therefore, the total number of coordinates required is 1.

If the space is four-dimensional, the location of a rigid body can be specified by three coordinates (x, y, z) as in three-dimensional space. The orientation can be specified by four parameters, such as quaternions, which require four coordinates. Therefore, the total number of coordinates required is 7.

So, the answers are:

If the space is two-dimensional: c. 4

If the space is one-dimensional: b. 1

If the space is four-dimensional: a. 7

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Each banana Split costs $6 and each hot fudge sundae costs $2.

Let b be the cost of one banana split and h be the cost of one hot fudge sundae. We can set up a system of two equations with two variables based on the given information:

6b + 5h = 46    (equation 1)

2b + 5h = 22    (equation 2)

We can solve for one variable in terms of the other in one of the equations and substitute that expression into the other equation to solve for the remaining variable. For example, we can solve equation 2 for b in terms of h:

2b + 5h = 22

2b = 22 - 5h

b = (22 - 5h)/2

We can substitute this expression for b into equation 1 and solve for h:

6b + 5h = 46

6[(22 - 5h)/2] + 5h = 46

66 - 15h + 5h = 46

-10h = -20

h = 2

Now that we know the cost of one hot fudge sundae is $2, we can substitute this value into either equation to solve for the cost of one banana split:

6b + 5(2) = 46

6b + 10 = 46

6b = 36

b = 6

Therefore, each banana split costs $6 and each hot fudge sundae costs $2.

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m=4

b=-3

I hope i could help! :)

y = mx+b

m=4

b=3

Hope this helps :)

\((\stackrel{x_1}{8}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 7}(x-\stackrel{x_1}{8}) \\\\\\ y-6=7x-56\implies {\Large \begin{array}{llll} y=7x-50 \end{array}}\)

Answer:

346 2/3 miles

Step-by-step explanation:

speed*time = the distance he rode, 8 2/3 is equivalent to 26/3, if you do 40*26/3 that should be 346 2/3 miles

Answer:

52/9

Step-by-step explanation:

Since 2/3 is already a fraction all we have to do is convert 8 2/3 into a fraction which would be 26/3. If you multiply 2/3 and 26/3 you'll get 52/9.

Answer:

it's the second one! 11√3 - 7√6

Answer:

B.

Step-by-step explanation: You have to simplify the radical expressions \(\sqrt{48}\) simplified is \(4\sqrt{3}\) and \(\sqrt{58}\) simplified is \(3\sqrt{6}\).

Next, collect the like terms \(7\sqrt{3} + 4\sqrt{3} = 11\sqrt{3}\) then \(4\sqrt{6}- 7\sqrt{6} = 7\sqrt{6}\)

Then you'll put it all together which will give you an answer of  \(11\sqrt{3} - 7\sqrt{6}\)

The fact that the cards are replaced means that the probability of picking an ace exactly two times after replacing the card 5 times is 0.47%

As the cards are replaced, this makes this an independent probabilities problem.

The probability of getting an ace exactly two times is:

= Probability of getting ace once x Probability of getting ace once x Probability of not getting ace³

Solving gives:

= 4/52 x 4/52 x (48/52)³

= 0.00465

= 0.47%

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The given equation does not have any solution.

What is a solution for the equation?

An equation's solution is an array of all values that, when substituted for unknowns, make the equation true. To solve equations with one unknown raised to a power of one, two basic algebra rules involving the additive and multiplicative properties are used.

The given equation is 5f = 5f + 3

          Solving this, we get

                   5f = 5f + 3

                  5f - 5f = 3

                   0 = 3

Which does not make sense.

We can say that the given equation does not have any solution.

Hence, the given equation does not have any solution.

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Answer:

They are congruent.

Step-by-step explanation:

They both are the same shape and size. The side with one line is the same on the other. The side with two lines also matches the other triangle. Lastly, they both have an angle in the same place