The recommended mass of a Soccer ball is 0.43 kilogram. The actual mass is allowed
to vary by up to 20 grams.
a. Write and solve an absolute value equation to find
the minimum and maximum acceptable soccer ball
masses.
b. A soccer ball has a mass of 423 grams. The soccer
ball loses 0.016 kilogram of mass over time. Is the
mass now acceptable? Explain.

To modify your code to print a 1 if there are infinitely many solutions and a 0 if there are no solutions, you can add some additional checks after performing Gaussian elimination.

After performing Gaussian elimination, check if there is a row where all the coefficients are zero but the corresponding constant term is non-zero. If such a row exists, it indicates that the system of equations is inconsistent and has no solutions. In this case, you can print 0.

If there is no such row, it means that the system of equations is consistent and can have either a unique solution or infinitely many solutions. To differentiate between these two cases, you can compare the number of variables (unknowns) with the number of non-zero rows in the reduced row echelon form. If the number of variables is greater than the number of non-zero rows, it implies that there are infinitely many solutions. In this case, you can print 1. Otherwise, you can print the unique solution as you would normally do in your code.

By adding these checks, you can determine whether the system of linear equations has infinitely many solutions or no solutions and print the appropriate output accordingly.

To determine whether a system of linear equations has infinitely many solutions or no solutions, we can consider the behavior of the system after performing Gaussian elimination. Gaussian elimination is a technique used to transform a system of linear equations into a simpler form known as the reduced row echelon form.

When applying Gaussian elimination, if at any point we encounter a row where all the coefficients are zero but the corresponding constant term is non-zero, it implies that the system is inconsistent and has no solutions. This is because such a row represents an equation of the form 0x + 0y + ... + 0z = c, where c is a non-zero constant. This equation is contradictory and cannot be satisfied, indicating that there are no solutions to the system.

On the other hand, if there is no such row with all zero coefficients and a non-zero constant term, it means that the system is consistent. In a consistent system, we can have either a unique solution or infinitely many solutions.

To differentiate between these two cases, we can compare the number of variables (unknowns) in the system with the number of non-zero rows in the reduced row echelon form. If the number of variables is greater than the number of non-zero rows, it implies that there are more unknowns than equations, resulting in infinitely many solutions. This occurs because some variables will have free parameters, allowing for an infinite number of combinations that satisfy the equations.

Conversely, if the number of variables is equal to the number of non-zero rows, it indicates that there is a unique solution. In this case, you can proceed with printing the solution as you would normally do in your code.

By incorporating these checks into your code after performing Gaussian elimination, you can determine whether there are infinitely many solutions (print 1) or no solutions (print 0) and handle these cases appropriately.

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Answer:

The 2 values that makes the function equal to 18 is 3 and -6

Step-by-step explanation:

First you can convert the quadratic equation from standard form to root form

Step 1: Substitute f(g) = 18

Step 2: Move 18 to the other side to create

0 = g² + 3g - 18

Step 3: Now we rearrange equation from standard form into root form

Step 4: Find what adds to 3 and multiples to -18

-3 and 6 adds to 3 and multiples to -18

Step 5: Now we substitute -3 and 6 into the root equation

0 = (g-3)(g+6)

Step 6: Set the brackets to 0 and solve

g - 3 = 0

g = 3

g + 6 = 0

g = -6

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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Answer:

D 3,704

Step-by-step explanation:

Answer:

the answer is 3,704

Step-by-step explanation:

wouldn't you just multiply 483 by so the answer is 3,704

Answer:

the probability of the computer chip produced and defective is 0.003825

Step-by-step explanation:

The computation of the probability of the computer chip produced and defective is shown below

= Produced percentage × defective percentage

= 45% × 0.85%

= 0.003825

Hence, the probability of the computer chip produced and defective is 0.003825

The same is considered and relevant too

Answer:

Step-by-step explanation:

80/16x5=25

Answer: A

Step-by-step explanation:

In a cylinder A=2πrh+2πr^2.  Plugging in the values of the problem gives you about 489.8

The prism and the cylinder have the same base area of 20π square units. However, the prism has a volume of 120π cubic units, while the cylinder's volume is not provided.

The given information states that the prism has a base area of 20π square units and a volume of 120π cubic units. It is mentioned that the cylinder has the same base area and height as the prism, but the volume of the cylinder is not provided.

To understand the relationship between the prism and the cylinder, we need to consider their respective formulas for volume. The volume of a prism is calculated by multiplying the base area by the height, while the volume of a cylinder is given by multiplying the base area by the height as well.

Since the base areas of both the prism and the cylinder are the same (20π square units), we can deduce that the heights of both shapes must differ in order for the prism to have a volume of 120π cubic units.

Without further information regarding the height of the cylinder, we cannot determine the exact relationship between the prism and the cylinder, apart from the fact that they share the same base area.

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Answer:

64

Step-by-step explanation:

Angle 1 and Angle 8 are alternate exterior angles since line x and line y are parallell and a transversal Z passes through it. Since they are alternate exterior angles they are congruent so 8 is 64

We use Tan in this case:

Tan=(opposite/adjacent)

Tan(36)=23/x

x=23/Tan(36)

x=31.64 length

Hope it helps!

Answer:

x ≈ 31.64

Step-by-step explanation:

Trigonometric ratios

\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)

where:

Given:

The given trigonometric ratios all use the angle of 36°.

From inspection of the given diagram:

Therefore, we should use the tan trig ratio.

\(\implies \sf \tan(36^{\circ})=\dfrac{23}{x}\)

\(\implies \sf x=\dfrac{23}{\tan(36^{\circ})}\)

Substituting the given value for tan 36°:

\(\implies \sf x \approx \dfrac{23}{0.727}\)

\(\implies \sf x\approx31.64\)

A hypothesis test is required to examine the veracity of the argument that the proportion of men who own cats is substantially distinct from the proportion of women who own cats.

The null and alternative hypotheses for this two-proportion z-test are as follows:The null hypothesis states that there is no significant difference between the proportion of men who own cats and the proportion of women who own cats. The alternative hypothesis argues that the proportion of men who own cats is significantly different from the proportion of women who own cats.

The sample proportions and sample sizes for each group can be used to calculate the test statistic, which is a standard normal distribution with a mean of 0 and a standard deviation of . In this example, the p-value is less than 0.005, implying that we reject the null hypothesis at the 5% level of significance since it is highly unlikely that we would observe a test statistic this large if the null hypothesis were true.

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Answer:y=-2x-9

Step-by-step explanation:

Slope intercept form is y=mx+b

4x+2y=-18

Subtract 4x from both sides:

2y=-4x-18

Divide the entire thing by 2:

y=-2x-9

To simplify 3 ratios, divide each part of the ratio with the same amount and keep diving numbers in the ratio until they are as small as possible but they remain as whole numbers.

To simplify or reduce a fraction, first, we need to find a common factor between the ratio numbers. When we have multiple ratio numbers, we must find a common factor between all of them.

The greatest factor between all the ratio numbers (greatest common factor) will be utilised to divide or reduce the ratios down to their lowest form.

For example reduce the ratio 225: 125: 25

The first step is to determine a common factor between all of the ratio numbers. In this example, we can see that all of the numbers end in either 5 or 0. This means that each number should have 5 as a factor.

If numbers are large and we are not sure of the greatest common factor between them all, we can reduce by a common factor and then reduce again.

Now divide each number by 5 and see what we get.

225/5: 125/5: 25/5

45: 25: 5

When we divide each one by 5 again, we can see that each number again ends in 5 or 0 which means that 5 is still a factor of each number.

Now divide each number by 5 again and get a final ratio of 9: 5: 5.

45/5: 25/5: 5/5

9: 5: 1

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Answer:

1. w=-24

2. g=3

Step-by-step explanation:

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.

When the distribution is normal, we use the z-score formula.

In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:

Z = (X – µ) / σ

The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

So, in this case, given that:

µ = 249, σ = 20

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:

100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.

Now, put all the values into the formula:

Z = (X – µ) / σ

–0.253 = (X – 249) / 20

X – 249 = –0.253 * 20

X = 244

Hence, the candle burns for 244 minutes.

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Answer:

To determine the speed, we can use the formula:

speed = distance / time

where distance is measured in feet and time is measured in minutes.

In this case, the distance is 264 feet and the time is 3 minutes. Plugging these values into the formula, we get:

speed = 264 feet / 3 minutes

simplifying, we get:

speed = 88 feet/minute

Therefore, the equipment is traveling at a speed of 88 feet per minute.

The consecutive integers are 12 , 13 ,14, and 15 .

Of the four consecutive integers let us consider the smallest integer be x.

Therefore the other 3 integers are x+1 , x+2 and x+3 .

Therefore the sum of the integers are:

x +(x+1)+(x+2)+(x+3)=4x+6

The sum of the integers is given 54.

∴4x + 6 = 54

or, 4x = 54 - 6

or, 4x = 48

or, x = 48 ÷ 4

or, x = 12

Therefore the three other integers are 13,14 and 15.

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Answer:

IM SMART

Step-by-step explanation:

Answer:

3=3 infinity many solutions

Step-by-step explanation:

12x+1=3(4x+1)-1

3x4x   3x1

12x+1=12x+3-2

   +2            +2

12x+3=12x+3

-12x      -12x

3=3

Answer:

There are 72 girls

Step-by-step explanation:

3/5 = 60%

So 60% of 120 is 72

Hope this helps!

hope this help you! have a great day

Days it took the grass to grow 1 centimeter and  centimeters the grass grew in 1 day

0.625 days to grow 1 cm.

16/10 = 1.6 cm in 1 day.

According to the law of proportion, any two ratios or fractions must be equal.

In only a week and a half, the grass in Jamie's backyard grew by 16 cm. it is expanding at an unchanging pace.

We need to determine how many days have passed since the grass has grown one centimeter.

Let's say that x represents the number of days that the grass grew one centimeter.

Given the following definition of proportion:

16/10=1/x

16x = 10

x = 0.625 days

As a result, one centimeter of grass growth occurred after 0.625 days had passed.

b)

Change x into 1. Because x is the number of days.

16/10=1/1

16/10

1.6

'In conclusion, in 1 day, 1.6 cm will grow.

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Answer:

137995357864688756864687_57

To compute the determinants in exercises 9-14 by cofactor expansion, the easiest way is to identify a row or column which contains maximum number of zeros. This will help in reducing the calculations and making the task easier.

Let's take the example of Exercise 9, which is given as: `6 3 -4; 1 2 1; 3 0 -2`.To find the determinant of this matrix by cofactor expansion, we will choose the second column, as it has the least amount of computation. The process for calculating the determinant is as follows:

\(Det A = 2x(-1)^2(2+0) - 1x(-1)^3(6-(-12)) + 1x(-1)^4(0-6)\)
\(Det A = 2(2) + 1(18) - 1(6)\)
Det A = 14

Similarly, we can follow the same process for exercises 10-14 by choosing the row or column that involves the least amount of computation. We can find the determinant of a matrix by using several methods, such as row operations, cofactor expansion, and diagonalization. In exercises 9-14, we have to compute the determinants by using cofactor expansion. The idea behind choosing the cofactor expansion method is to simplify the calculation by breaking down the matrix into smaller matrices. To solve the given exercises, we need to identify a row or column that involves the least amount of computation. By choosing this row or column, we can significantly reduce the number of calculations required to find the determinant. In other words, we need to find the element with maximum number of zeros, which makes it easier to compute the determinant. In exercise 9, we chose the second column as it had the least amount of computation. By using this method, we were able to find the determinant of the matrix in a few simple steps. Similarly, for other exercises, we need to identify the appropriate row or column that makes the calculation easier.

In conclusion, by using the cofactor expansion method and choosing the appropriate row or column, we can efficiently find the determinants of matrices. This method is particularly useful when dealing with larger matrices as it reduces the number of calculations required to find the determinant.

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To find the coefficient of zy in the expansion of (1 + xy + (1+ . +y?), we need to examine the terms in the expansion and determine the coefficient of zy. The coefficient of zy in the expansion of (1 + xy + (1+ . +y?) is 0.

To find the coefficient of zy in the given expression, we need to examine the terms that contain both z and y.

However, in the given expression, there is no term that contains both z and y. Therefore, the coefficient of zy is 0.

To find the coefficient of zy in the expansion of (1 + xy + (1+ . +y?), we need to examine the terms in the expansion and determine the coefficient of zy. However, it seems that there might be an error in the expression provided, as there are missing symbols and unclear terms. To provide a detailed explanation, please clarify the missing or ambiguous parts of the expression.

The given expression, (1 + xy + (1+ . +y?), seems to have missing symbols and unclear terms, making it difficult to determine the coefficient of zy. The presence of ellipsis (...) suggests that there might be missing terms or an incomplete pattern. Additionally, the presence of a question mark (?) in the term y? raises further ambiguity.

To provide a precise explanation and find the coefficient of zy, it is essential to clarify the missing or ambiguous parts of the expression. Please provide the complete and accurate expression or provide additional information to help resolve any uncertainties.


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Answer:

square root of 7

Step-by-step explanation:

2 times 2 is 4

3 times 3 is 9

7 is the only option between 4 and 9

(this was more the easy method lol but hope this helps)