What is the magnitude of the electrostatic force exerted by


sphere a on sphere b?


2. 0 m-


а


b


+1. 0 x 10-6c


-1. 6 x 10-60

Answer:

18 ft^2

Step-by-step explanation:

1^2=1

1*6=6

6*3=18

Answer: 18 square feet.

Step-by-step explanation:

You can find the surface area of the ice cubes by taking the area of each square side and multiplying it by 6.

1 * 1 = 1, so each side is 1 square foot.

There are six sides on a cube, so each ice cube has a surface area of six feet squared.

There are three ice cubes there, so 3 * 6 = 18 square feet.

Three ice cubes have a surface area of 18 feet squared.

Answer:

When the determinant of a matrix is almost 0, it means that the matrix is close to being singular, which means that its inverse does not exist or is very close to not existing. This has important implications for the solution of systems of linear equations represented by the matrix.

Specifically, if the determinant of a matrix is almost 0, then the matrix is almost singular, which means that its columns are almost linearly dependent. This, in turn, means that the system of equations represented by the matrix has almost linearly dependent equations, which can lead to multiple solutions or no solutions at all.

In terms of the sensitivity of the solution to changes in the constants of the system, a small change in the constants can lead to a large change in the solution when the determinant of the matrix is almost 0. This is because the inverse of the matrix is very sensitive to changes in its entries when the determinant is almost 0.

For example, consider a system of linear equations represented by a matrix A with determinant very close to 0, and let b be the vector of constants on the right-hand side of the equations. Then, the solution to the system can be approximated by the product of the inverse of A (if it exists) and b, that is:

x = A^(-1) b

However, if A is almost singular, then its inverse is very sensitive to changes in its entries, and a small change in b can lead to a large change in x. This can make the solution to the system unreliable and unstable, and can be a source of numerical errors in computations.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

In a triangle rectagle:

Sinx= opposite leg / hypotenuse

On your case:

sin (30°)= 5/10= 1/2

Answer:

using trigonometry :

\( \sin(30) = \frac{perpendicular}{hypotenuse} \)

\( \sin(30) = \frac{5}{10} \)

\( \sin(30) = \frac{1}{2} \)

To solve equations with fractions and variables in the denominator, we need to eliminate it by moving it to the other side. To do this, we multiply both sides of the equation by the term in the denominator. This will cancel out the fraction and leave us with a simpler equation to solve.

For example, suppose we have the equation (3 + x) / x = 2. To get rid of the fraction, we multiply both sides by x. This gives us: x * (3 + x) / x = x * 2. The x in the numerator and denominator cancel out, leaving us with:

3 + x = 2x. Now we can solve for x by subtracting x from both sides: 3 = x

This is the solution of the equation.

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Answer:

Step-by-step explanation:

2 squares ( ONLP && PLKH )
2 triangles ( NML && HKJ )

1 semi-circle ( PH )

Answer:

4 miles

Step-by-step explanation:

4 miles because if if if 58 of mile which is just a half mile basically and she does 7 laps

7 x 0.58=4.06 which is 4 miles

Have a good day :}

Step-by-step explanation: in the question it is given that, Fred is five times as old as Grace, it means that the present age of Fred is 5 times the age of Grace. in the solution we have assumed Grace age to be X years. if Grace age is X years then the age of Fred is five times that of Greece age that is 5x years. now it is given in the question that in 8 years of time Fred's age will be three times as old as Grace. as it is given in the question as 8 years then it means that we have to add 8 years to both the present age of grace as well as Fred's age. now if we'll add 8 years in both grace age and frads age then it will be X + 8 years and 5 x + 8 years respectively. now it is said that in 8 years of time Fred's age will be three times of grace age. now to make it equal we have to put that three times in Grace age, so that three times of grace age will be equal to Fred's age. then you simply need to solve the equation As given in the solution then we will get X equal to 8. we have got Grace present age to be 8 years and Fred's present age to be 40 years uhmmmmmmmmmmmmmm i hope this hepls you do your work :D

The LU factorization of matrix A is A = LU, where L = [[1, 0, 0], [-2, 1, 0], [1.5, -3, 1]] and U = [[4, -8, 10], [0, 24, -27], [0, 0, -12.5]].

Let's go step by step to find the LU factorization of matrix A.

Matrix A:

A =

[4, -8, 10]

[-8, 8, -7]

[6, -7, 3]

Step 1:

Initialize the L matrix as an identity matrix of the same size as A.

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Step 2:

Perform Gaussian elimination to obtain U.

- Multiply the first row of A by (1/4) and replace the first row of A with the result.

A =

[1, -2, 2.5]

[-8, 8, -7]

[6, -7, 3]

- Subtract 8 times the first row of A from the second row of A and replace the second row of A with the result.

A =

[1, -2, 2.5]

[0, 24, -27]

[6, -7, 3]

- Subtract 6 times the first row of A from the third row of A and replace the third row of A with the result.

A =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

Step 3:

Update the L matrix based on the operations performed during Gaussian elimination.

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Step 4:

The resulting matrix A is the upper triangular matrix U.

U =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

Therefore, the LU factorization of matrix A is:

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

U =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

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Answer:  Choice D

Step-by-step explanation:

p=2w+2l  Subtract 2w from both sides

p - 2w = 2w - 2w +2l   2w-2w = 0 cancels

p- 2w = 2l . Divide both sides by 2  2/2 =1 cancels leaving l isolated

p - 2w/2 = l

Reverse

l =  p-2w/2

The equation of the line that passes through point (-1, 3) and parallel to line y = 3x + 2 is

As a parallel line part of the qualities include that the slopes of the lines  are equal  

The equation of line is y = 3x + 2

The slope intercept form of the form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

Line has slope, m = 3, a new parallel line of slope 3 passing through point  (-1, 3)

(y - y₁) = m  (x - x₁)

y - 3 = 3 (x - -1)

y = 3x + 1 + 3

y = 3x +  4

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Answer:

it is actually 70

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

x + ( x + 2 ) + ( x + 4 ) = 210

3x + 6 = 210

3x = 204

x = 68

Remember that x is the smallest, so we have to add 4 to 68 to get the largest of the 3 consecutive even integers: 68 + 4 = 72.

Answer:$10

Step-by-step explanation: We are given the ratio 9:1. Meaning for every 9 dollars he spends on healthy food, he can spend a dollar on snacks. If he intends on paying 100 dollars total, how much will he spend on snacks?

He would have spent 90 dollars on healthy food, and 10 dollars on snack food. Totaling 100 dollars.

Answer:

0.008

Step-by-step explanation:

To know the steps pls look at the pic above

Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

The circle on the graph has an equation that can be represented as (x + 5)² + (y - 3)² = 16

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

This means that the graph represents the given parameter

The equation of the circle takes the following form

(x - a)² + (y - b)² = r²

Where, we have the following representations

Center of circle, = (a, b)

Radius of the circle = r

Using the graph as a guide, we have the following representations

Center of circle, = (a, b) = (-5, 3)

Radius of the circle = r = 4

Substitute the known values in the above equation, so, we have the following representation

(x + 5)² + (y - 3)² = 4²

Evaluate the exponent

(x + 5)² + (y - 3)² = 16

Hence, the equation of the circle is (x + 5)² + (y - 3)² = 16

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Answer:

(-6, -14), (-1,-7)

Step-by-step explanation:

The equation is a plug and play just plug in the X and Y values of your original equation.

Answer:

If a store is having a 20% off sale

By buying an item you save 20% of the price

If Mai saves $13 on an item she is also saving 20%

$13 = 20% of the price

$65 = 100% of the original price

$65 is your answer!

The volume of ball is 32.49 cubic centimeter.

What is volume ?

 Every three-dimensional item takes up space in some way. The volume of this area is what is used to describe it. The area occupied within an object's three-dimensional bounds is referred to as its volume. The object's capacity is another name for it.

Here ,

The volume of a ball = 32490 cubic millimeters

To convert into cubic millimeter into cubic centimeter by dividing by 1000, Then,

=>  32490/1000

=> 32.49 cubic centimeter.

Hence the volume of ball in cubic centimeter is 32.49 .

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2.9375 is the answer

3 is the rounded up answer

i cant show steps cuz :p

sorry

anyway hope tis helps

Answer:

47/16

is basically dividing  

47÷16  

Long Division for 47 divided by 16  

=2.9375

The map visually represents the spatial distribution of the Hispanic population across U.S. counties, allowing for the identification of patterns and clusters. On the other hand, the histogram provides a quantitative representation of the distribution, illustrating the frequency or density of Hispanic population within specific ranges or categories.

The map reveals certain features that may not be apparent in the histogram. For instance, it allows us to observe spatial concentrations or clusters of Hispanic population, such as regions with high densities of Hispanic residents or areas where the Hispanic population is more dispersed. These spatial patterns can provide insights into factors like immigration patterns, cultural heritage, or historical settlement patterns that influence the distribution of the Hispanic population in the United States.

Conversely, the histogram highlights features that may not be readily visible in the map. The histogram enables a more detailed examination of the distribution within specific population ranges or categories. It can reveal the frequency or density of the Hispanic population within each range, allowing for comparisons across different counties or regions. By examining the histogram, one can identify variations in the size or proportion of the Hispanic population in different areas, potentially indicating demographic disparities or variations in population growth rates.

In summary, the map provides a visual understanding of the spatial distribution of the Hispanic population, highlighting clusters and patterns, while the histogram offers a quantitative representation, revealing variations in population density within specific ranges or categories. Both tools are valuable for analyzing and interpreting the distribution of the Hispanic population in U.S. counties, providing complementary perspectives for understanding demographic trends and patterns.

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Yes, I can find the slope of a line and type the correct code. The SLOPE function will return the slope of the linear regression line that best fits the data.

The slope of a line is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. The formula for finding the slope of a line is (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.

The slope is a measure of how steep the line is. It can be positive, negative, zero, or undefined. The code for finding the slope of a line in ALL CAPS with no spaces is SLOPE.

To use this function in Excel, you need to provide the range of x-values and the range of y-values.

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The software engineer can go without wearing the same combination of three items for 36 days.

Given: 3 pairs of pants, 4 shirts, and 3 pairs of shoes.

The software engineer has 3 pairs of pants, 4 shirts, and 3 pairs of shoes.

To find the number of days the software engineer can go without wearing the same combination of three items, we can use the multiplication principle of counting.

Let A = the set of pants = {p1, p2, p3}

B = the set of shirts = {s1, s2, s3, s4}

C = the set of shoes = {sh1, sh2, sh3}

We want to find the number of combinations of (A,B,C) sets where each set contains exactly one element from each of the sets A, B, and C.

This can be done as follows: Choose one pair of pants from the set A in 3 ways.

Choose one shirt from the set B in 4 ways.

Choose one pair of shoes from the set C in 3 ways.

By the multiplication principle of counting, the total number of ways the engineer can select the three items is 3 × 4 × 3 = 36.

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Answer:

1/2

Step-by-step explanation:

from point to point, you rise by one and run to the right by two

therefore, slope = 1/2

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

Answer:

BCD

Step-by-step explanation:

Answer: B,C & D

Step-by-step explanation:

We have the following:

Therefore the percentage change is the 12.5 %

To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.

From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.

Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.

Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:

df for regression = k - 1 = 4 - 1 = 3

df for residual = n - k = 45 - 4 = 41

Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.

MS for regression = SS for regression / df for regression = 20 / 3

MS for residual = SS for residual / df for residual = 400 / 41

Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.

F = (MS for regression) / (MS for residual)

Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.

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Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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a. The linear equation for the number of immigrants is y = 16,033.444t - 16,764,061.4.

b. The predicted number of immigrants admitted to the country in 2014 is approximately 1,825,753.

c. The validity of using this equation to model the number of immigrants throughout the entire 20th century is questionable due to the negative y-intercept, which implies negative immigrants in the year 1900.

a. Assuming a linear change in immigration, we can write the equation expressing the number of immigrants, y, in terms of t, the number of years after 1900, as:

y = mt + b

where m represents the rate of change (slope) and b represents the initial value (y-intercept).

To find the values of m and b, we can use the given data points (1950, 241,832) and (2004, 1,107,638).

Let's calculate the slope (m):

m = (change in y) / (change in t)

m = (1,107,638 - 241,832) / (2004 - 1950)

m = 865,806 / 54

m ≈ 16,033.444

Now, let's substitute one of the data points (1950, 241,832) into the equation to find the value of b:

241,832 = (16,033.444)(1950) + b

b = 241,832 - (16,033.444)(1950)

b ≈ -16,764,061.4

Therefore, the linear equation for the number of immigrants is:

y = 16,033.444t - 16,764,061.4

b. To predict the number of immigrants admitted to the country in 2014, we need to find the value of y when t = 2014 - 1900 = 114:

y = 16,033.444(114) - 16,764,061.4

Calculating the expression:

y ≈ 1,825,753.216

Therefore, the predicted number of immigrants admitted to the country in 2014 is approximately 1,825,753.

c. Considering the value of the y-intercept in the equation (-16,764,061.4), it suggests that in the year 1900 (t = 0), there were already negative immigrants, which does not make sense in the context of immigration. Therefore, using this linear equation to model the number of immigrants throughout the entire 20th century may not be valid. It is important to consider the limitations of the linear model and the historical context of immigration patterns.

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Complete Question:

In 1950, there were 241,832 immigrants admitted to a country. In 2004, the number was 1,107,638

a. Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900

b. Use your result in part a to predict the number of immigrants admitted to the country in 2014

c. Considering the value of the y-intercept in your answer to part a, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century.

Answer:

1500

Step-by-step explanation:

x/24000*100=75

x=18000

18000/12=1500