ASAP!
martha’s flower garden has a radius of 3 feet. what is the distance around the edge of her garden?

The basic columns of matrix A are:

1 0 0 0 0 0

0 0 0 0 0 0

0 -1 0 0 0 0

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 0 1 0

To determine the rank of the given matrix A and list its basic columns, we need to perform row operations to bring the matrix to its reduced row-echelon form.

Starting with the given matrix A:

1 2 3 0 0 5

0 0 0 0 0 0

2 3 0 0 0 4

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 3 1 0

First, we perform row operations to eliminate any non-zero entries below the leading 1s in the first column:

1 2 3 0 0 5

0 0 0 0 0 0

0 -1 -6 0 0 -6

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 3 1 0

Next, we perform row operations to eliminate any non-zero entries above the leading 1s in the third column:

1 2 0 0 0 5

0 0 0 0 0 0

0 -1 0 0 0 -6

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 3 1 0

Finally, we perform row operations to eliminate any non-zero entries below the leading 1 in the third column:

1 2 0 0 0 5

0 0 0 0 0 0

0 -1 0 0 0 -6

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 0 1 0

The resulting matrix is in reduced row-echelon form. Now, we can determine the rank of the matrix by counting the number of non-zero rows. In this case, there are 3 non-zero rows.

Therefore, the rank of the matrix A is 3.

To list the basic columns, we look for columns in the original matrix A that contain leading 1s in the reduced row-echelon form. The corresponding vectors are:

1 0 0 0 0 0

0 0 0 0 0 0

0 -1 0 0 0 0

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 0 1 0

Hence, the basic columns of matrix A are:

1 0 0 0 0 0

0 0 0 0 0 0

0 -1 0 0 0 0

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 0 1 0

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If the value of n equals \(-\frac{1}{10}\), then the given equation would be true.

_________________________________________________

Isolate the variable by dividing each side by factors that do not contain the variable. This being said and dealt with, n = \(-\frac{1}{10}\)

Now, in order to determine if the value of n truly does make the equation true, we put \(-\frac{1}{10}\) in replacement of the n values of the equation. In this situation, the left side 9.8 is equal to the right side 9.8 after \(-\frac{1}{10}\) is inserted. This means that the given statement is always true with \(n = -\frac{1}{10}\).

Hope this helps!

Answer:

im not 100% sure but its "c"

Answer:

C C C C C

Step-by-step explanation:

Answer:

All of the points would be eight places lower in the y value

Step-by-step explanation:

Lets check by putting 8 in the place of x y= 8^2  which equals 64, that means that y equals 64, then do the second equation y = 8^2 - 8 which equals 56, which means y equals 56, 64 minus 56 equals 8 so they have a difference of 8.

The probability that a student taking geometry is also taking IPC is 0.2 or 20%.

To determine the probability, we can use the concept of conditional probability. Let's denote the event of a student taking geometry as G and the event of a student taking IPC as I. We are given that 40 students are taking geometry (|G| = 40), 50 students are taking IPC (|I| = 50), and 10 students are taking both geometry and IPC (|G ∩ I| = 10).

The probability of a student taking geometry and IPC can be calculated using the formula:

P(I|G) = P(I ∩ G) / P(G)

Substituting the given values into the formula, we have:

P(I|G) = |G ∩ I| / |G|

P(I|G) = 10 / 40

P(I|G) = 0.25

Therefore, the probability that a student taking geometry is also taking IPC is 0.25 or 25%. However, none of the given options matches this probability. Therefore, the closest option to the correct answer is option (d) 0.111 or approximately 11.1%.

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Answer:

32

Step-by-step explanation:

The recursive sequence that produces the sequence 4, -6, 4 is:

4, -6, 4, -6, 4, ...

A function that refers back to itself is referred to as a recursive sequence. Here are a few recursive sequence examples. Because f (x) defines itself using f, f (x) = f (x 1) + 2 is an illustration of a recursive sequence.

To generate the sequence 4, -6, 4 using a recursive sequence, we can use the following formula:

\(a_n = a_{n-1} + (-1)^{n+1} * 10\)

where \(a_n\) is the nth term of the sequence.

Using this formula, we get:

\(a_1 = 4\\a_2 = 4 + (-1)^{2+1} * 10 = -6\\a_3 = -6 + (-1)^{3+1} * 10 = 4\)

Therefore, the recursive sequence that produces the sequence 4, -6, 4 is:

4, -6, 4, -6, 4, ...

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Answer:

The median of the scores in this stem-and-leaf plot is 78

Step-by-step explanation:

The total data set represented by Stem and leaf in order from the least to the greatest are as following:

58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95

The number of data is 21

The median of the data at the place number 11

So, median = 78

False,  A high confidence level does not ensure that the confidence interval will always enclose the true parameter of interest.

A confidence level represents the probability that the confidence interval will capture the true parameter in repeated sampling. For example, a 95% confidence level means that if we were to take multiple samples and construct confidence intervals, approximately 95% of those intervals would contain the true parameter. However, there is still a possibility that a particular confidence interval may not capture the true parameter. The concept of confidence level refers to the long-run behavior of the intervals, rather than guaranteeing that any individual interval will definitely contain the true parameter.

Factors such as sample size, variability, and the assumptions made in statistical analysis can affect the accuracy and reliability of confidence intervals. Therefore, while a higher confidence level provides greater assurance, it does not guarantee that the interval will enclose the true parameter in any specific instance.

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The zero of the function p=126-6n is n = 21

The function p = 126 - 6n represents the amount of money Xin has after purchasing n balloons, where each balloon costs $6.

To find the zero of the function, we need to solve for the value of n when p = 0.

This means that Xin has no money left after purchasing all the balloons.

Substituting p = 0 into the function, we get:

0 = 126 - 6n

Solving for n, we can rearrange the equation to get:

6n = 126

n = 126/6

n = 21

Therefore, the zero of the function is n = 21, which means that Xin can purchase 21 balloons with $126 and have no money left.

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Answer:The Equation of the curve y = (3/2)x^2 - 6x + 9 and it can be deduced from the following explanation

Step-by-step explanation:

The image shows how by integrating both sides of the equation of our slope we can achieve the equation of our curve but with a constant assumed to be C in our case

Now to solve the value of that constant we can input the values of x and y respectively in the equation we achieved by integrating the equation of our slope and by solving the basic arithmetic we accomplish the value of our constant which is C that is equal to 9

Hence solving our problem and concluding the equation to be y = (3/2)x^2 - 6x + 9

Answer:

Keshuan will save 135.00  with the rebate price

When we substitute these values into the equation, we get the required rate of return on AA Corporation's stock as 8.4%.

Required return on stock = Risk-free rate + Beta x (Market return - Risk-free rate)

Required return on stock = 4% + 0.8 x (12% - 4%)

Required return on stock = 8.4%

The required rate of return on AA Corporation's stock is 8.4%. To calculate this, we use the formula required return on stock = risk-free rate + beta x (market return - risk-free rate). In this equation, the risk-free rate is 4%, the beta of AA Corporation's stock is 0.8 and the expected return on the market is 12%. The risk-free rate remains constant, the beta of the stock gives an indication of its volatility and the market return reflects the overall performance of the market. When we substitute these values into the equation, we get the required rate of return on AA Corporation's stock as 8.4%.

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There are 68 females over 50 years of age

from the question, we have the following parameters that can be used in our computation:

Members who are over 50 years of age = 122

Proportion of females over 50 years of age = 56%

using the above as a guide, we have the following:

Females over 50 years of age = 56% * Members who are over 50 years of age

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

Females over 50 years of age = 56% * 122

Evaluate

Females over 50 years of age = 68

Hence, there are 68 females over 50 years of age

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Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

64

Step-by-step explanation:

You'd put 64 in the box because the x is the original number (4). example: 4^3 = 64, ^3(insert the root sign) 64 = 4

sorry in advanced, I dont have the math signs to make the equations

Answer:

x = ³√64

Step-by-step explanation:

Given equation,

→ x³ = 64

Let's rearrange the equation,

→ x³ = 64

→ [ x = ³√64 ]

Thus, the answer is x = ³√64.

Answer:

1.05 × 10^-3

Step-by-step explanation:

The decimal number 0.00105 in scientific notation is  \(1.05 \times 10^{-3}.\)

Scientific notation is a way to represent numbers that are either very large or very small.

It consists of two parts: the coefficient and the exponent.

The coefficient is a decimal number between 1 and 10, and the exponent indicates the power of 10 by which the coefficient is multiplied.

In the case of 0.00105, we can express it in scientific notation as \(1.05 \times 10^{-3}.\)

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To find the maximum profit, we can look for the vertex of the parabolic function representing the profit.

The given profit function is:

\(Z = -3x^2 + 12x + 25\)

We can see that the coefficient of the \(x^2\) term is negative, which means the parabola opens downwards. This indicates that the vertex of the parabola represents the maximum point.

The x-coordinate of the vertex can be found using the formula:

\(x = \frac{-b}{2a}\)

In our case, a = -3 and b = 12. Plugging these values into the formula, we get:

\(x = \frac{-12}{2 \cdot (-3)}\\\\x = \frac{-12}{-6}\\\\x = 2\)

To find the maximum profit, we substitute the x-coordinate of the vertex into the profit function:

\(Z = -3(2)^2 + 12(2) + 25\\\\Z = -12 + 24 + 25\\\\Z = 37\)

Therefore, the maximum profit is 37.

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Answer:

π /2

Step-by-step explanation:

This triangle is warning you to slow down and be prepared to stop. It indicates that a railroad crossing is ahead and you should proceed with caution.

This sign is warning you that a railroad crossing is ahead, and you should proceed with caution. The triangle shape is reflective orange with a red border on each of the three sides. This sign indicates that you should slow down and be prepared to stop as a train may be approaching. You should also look both ways for any oncoming trains before continuing to cross the tracks. Additionally, you should never try to drive around a lowered crossing gate and never cross the tracks until you are sure that it is safe to do so. Always obey the signs and signals at railroad crossings and never take any chances when it comes to safety. Following these rules will help to ensure that everyone stays safe when crossing railroad tracks.

the complete question is : What does a sign with a reflective orange triangle with a red border on each of the three sides warn you off ?

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The sign with a reflective orange triangle with a red border on each of the three sides warn you of Slow moving vehicles.

Here we have to find the reason behind sign with a reflective orange triangle with a red border on each of the three sides.

Basically this type of sign are look like a warning triangle which is also an equilateral  triangle of around 600mm in size made of red reflective material. Where it can be put on the side of the road by anyone to warn other drivers of a breakdown or crash ahead.

And it must also said that the reflective orange triangle on the rear of a vehicle means it is traveling 35 mph or less. And here you may see this sign on road maintenance equipment, farm vehicles, or horse- drawn wagons.

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Answer:

OK what is the rest of the question i cant answer it as of right now the question is a statement.

Step-by-step explanation:

So sorry.

Answer:

6.0 x 10^2

Step-by-step explanation:

(7.3 X 10) + (2.4 X 10^7)

(4 X 10^4)

= 73 + 24000000

40000

= 24000073

40000

= 6.0 x 10^2

5. The constant of proportionality is 1.5

The equation is p = 1.5×s

6. The constant of proportionality is 1.99

The equation is p = 1.99 × a

7. The variables Number of Pens and Cost  are not proportional

Please find attached the required graph

8. The variables Number of minutes and Words Typed are not proportional

Please find attached the required graph

The procedure for finding the answers are as follows;

5. The given data are presented as follows;

\(\begin{array}{ccc}Shirts \ (s)&&Profit \ (p)\\5&&7.50\\10&&15.00\\15&&22.50\end{array}\)

Where two variables, s and p are proportional, we get;

p ∝ s

Therefore;

p = C × s

C = p/s

Where;

C = The constant of proportionality

Therefore, the constant of proportionality, C, of the given variables, (number of shirts, s, and profit, p, is found as follows;

C = 7.50/5 = 15.00/10 = 22.50/15 = 1.5

The constant of proportionality, C = 1.5

The equation that relates the two values is p = 1.5×s

6.  For the apples to price relationship, we have;

\(\begin{array}{ccc}Apples \ (a)&&Price\ (p)\\4&&7.96\\5&&9.95\\6&&11.94\end{array}\)

Therefore;

p ∝ a

p = C × a

C = p/a

Plugging in the values gives;

C = 7.96/4 = 9.95/5 = 11.94/6 = 1.99

The constant of proportionality, C = 1.99

Therefore, the equation relating the two values is p = 1.99 × a

7. The given data is presented in a tabular form as follows;

\(\begin{array}{ccc}Number \ of \ pens &&Cost\ \\1&&52\\2&&54\\3&&56\\4&&58\end{array}\)

A set of data is proportional or has a proportional relationship if their x, and therefore, y-intercept is (0, 0)

From the graph of the data, created with MS Excel, the y-intercept is 50 which is not equal to zero, therefore, the relationship between the data is not a proportional relationship

8. The given data is presented in a tabular form as follows;

\(\begin{array}{ccc}Number \ of \ Minutes&&Words \ Typed\ \\1&&50\\2&&90\\3&&140\\4&&180\end{array}\)

From the graph of the data, we have that the y-intercept of the line of best fir is 5, therefore, the relationship is not a proportional relationship

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Answer:

Sorry I don't know but just stick with your gut

Step-by-step explanation:

Answer:

20, 18,14,24 are not perfect squares.

Answer:

24, 14, 18, 20

Step-by-step explanation:

A perfect square is a number that can be expressed as the product of two equal integers. Numbers 24, 14, 18, and 20 are not products of any equal numbers. The rest are.

5 x 5 = 25

6 x 6 = 36

4 x 4 = 16

hope this helps!

Answer:

b=3.4     so it is d

Step-by-step explanation:

Subtract 2.3  from both sides of the equation

b+2.3 = 5.7

b+2.3 - 2.3 = 5.7- 2.3

and the simply

Answer: 15.089, 15.159

Answer:

Step-by-step explanation:

The most appropriate choice of volume of a cone is given by-

\(h=\frac{3v}{\pi r^{2} }\)

What is volume of a cone?

The volume of a cone is the amount of space occupied by the cone.

Volume of a cone is given by the formula

\(V=\frac{1}{3} \pi r^{2} h\)

Where, r is the radius of cone and h is the height of the cone.

Here,

\(V=\frac{1}{3} \pi r^{2} h\\3V=\pi r^2h\\h=\frac{3V}{\pi r^2}\)

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Answer:

144g

Step-by-step explanation:

Make a ratio:

15:108

20:x

cross multiply

15x = 2160

x = 144

The expression gotten from integrating \(\int\limits {\frac{1}{\sqrt{100 - 256x\²}} \, dx\) is \(\frac{1}{16}\sin^{-1}(8x/5) + c\)

From the question, we have the following trigonometry function that can be used in our computation:

\(\int\limits {\frac{1}{\sqrt{100 - 256x\²}} \, dx\)

Let u = 8x/5

So, we have

du = 8/5 dx

Subsitute u = 8x/5 and du = 8/5 dx

So, we have

\(\int {\frac{1}{\sqrt{100 - 256x\²}} \, dx = \int {\frac{5}{\sqrt{5(100 - 100u\²)}} \, du\)

Simplify

So, we have

\(\int {\frac{1}{\sqrt{100 - 256x\²}} \, dx =\frac{1}{16} \int {\frac{1}{\sqrt{1 -u\²}} \, du\)

Next, we integrate the expression \(\int {\frac{1}{\sqrt{1 -u\²}} \, du = \arcsin(u)\)

So, we have

\(\int {\frac{1}{\sqrt{100 - 256x\²}} \, dx =\frac{\arcsin(u)}{16} + c\)

Undo the earlier substitution for u

So, we have

\(\int {\frac{1}{\sqrt{100 - 256x\²}} \, dx =\frac{\arcsin(8x/5)}{16} + c\)

This can also be expressed as

\(\int {\frac{1}{\sqrt{100 - 256x\²}} \, dx =\frac{1}{16}\sin^{-1}(8x/5) + c\)

Hence, integrating the expression \(\int\limits {\frac{1}{\sqrt{100 - 256x\²}} \, dx\) gives (c)

\(\frac{1}{16}\sin^{-1}(8x/5) + c\)

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