Write the algebraic expression for the situation. I have 3 times as many
chickens as Bob. (Use b as the variable for Bob).

Answer:

g=4

Step-by-step explanation:

Move all terms not containing g to the right side of the equation.

-7g-2=-30

-7g=-28

g=-28/-7

g=4

hi ^^

---------

Here's your answer: g=4

-----------------------------------

Now the steps: Equation: −7g−2=−30

· Add 2 to both sides.

−7g=−30+2

· Add −30 and 2 to get −28.

−7g=−28

· Divide both sides by −7.

g=   −7 /−28

· Divide −28 by −7 to get 4.

g=4

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Hope that helped! bye <3

Answer:

S=720

Step-by-step explanation:

25$ of 240 =60

60×12months=720

As per the properties of parallel lines and interior alternate angles postulate, we can prove that:

⇒ m ∠5+ m ∠2+ m ∠6 = 180°

Given that;

Line y || z

i.e. y is parallel to z.

To Prove:

⇒ m ∠5+ m ∠2+ m ∠6 = 180°

Since, It is given that the lines y and z are parallel to each other.

m∠5, m∠1 are interior alternate angles because lines y and z are parallel and one line AC cuts them.

So, m∠5 = m∠1  ..... (1)

Similarly,

m∠6, m∠3  are interior alternate angles because lines y and z are parallel and one line AB cuts them.

So, m∠6 = m∠3  ...... (2)

Now, we know that the line y is a straight line and A is one point on it.

Sum of all the angles on one side of a line on a point is always equal to 180 degree .

i.e. ⇒ m ∠1+ m ∠2+ m ∠3 = 180°

Using equations (1) and (2):

We can see that:

⇒ m ∠5+ m ∠2+ m ∠6 = 180°

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The measure of angle fge is 53.13°.

The equation used to find the measure of angle fge is the Law of Cosines. The Law of Cosines states that for any triangle, the square of the length of any side is equal to the sum of the squares of the other two sides, minus twice the product of those sides and the cosine of the angle opposite the side.

Using the Law of Cosines, we can solve for the measure of angle fge as follows:

\(fge = cos-1((a^2 + b^2 - c^2) / 2ab)\)

For example, if the length of side a is 3, the length of side b is 4, and the length of side c is 5, then the measure of angle fge can be calculated as follows:

fge =\(cos-1((3^2 + 4^2 - 5^2) / 2(3)(4))\)

fge = \(cos-1(1/6)\)

fge = 53.13°

Therefore, the measure of angle fge is 53.13°.

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The following is true of primary data collection: primary data are collected specifically for the research problem at hand.Primary data collection refers to the process of collecting new data or original data that have not been collected before. Primary data are the first-hand data gathered by researchers from original sources.

The following is true of primary data: primary data are collected specifically for the research problem at hand. Primary data are collected to meet specific research objectives and to provide solutions to research problems.Primary data collection methods are affected by the biases of the respondent.

This is because the collection of primary data requires direct contact between the researcher and the respondents or participants. It is important to note that primary data collection methods are relatively more expensive than secondary data. Therefore, researchers should consider the cost implications of primary data collection methods before using them.

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Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

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Answer:

In a bubble sort, on each pass through the list that must be sorted, the largest value "bubbles" to the end of the list. Therefore, after each pass, the end of the list is guaranteed to be sorted. This means that we can stop making pair comparisons one comparison sooner, which is option B.

Step-by-step explanation:

Bubble sort works by repeatedly comparing and swapping adjacent elements in the list if they are in the wrong order. During each pass through the list, the largest unsorted element "bubbles up" to its correct position. As a result, after the first pass, the largest element is in its correct position, after the second pass, the two largest elements are in their correct positions, and so on.

Therefore, with each subsequent pass, you can stop making pair comparisons one comparison sooner because the elements at the end of the list are already sorted.

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Answer:

The equation of a parallel to the given line that goes through the given point (2, 4) is:

\(y=8x-12\)

Step-by-step explanation:

Given the equation

\(y=8x+3\)

comparing the equation with the slope-intercept form

\(y=mx+b\)

Here,

so the slope of the line is m = 8.

We know that the slopes of parallel lines are equal.

so, the slope of the perpendicular line will be = 8

Therefore, the equation of a parallel to the given line that goes through the given point (2, 4) is:

\(y-y_1=m\left(x-x_1\right)\)

\(y-4 = 8 (x-2)\)

\(y-4 = 8x-16\)

\(y = 8x-16+4\)

\(y=8x-12\)

In greedy method, A locally optimal of solution is generated

Greedy algorithms

Greedy algorithms construct a solution piece by piece, selecting the next portion in such a way that it provides an immediate benefit.

This method never reconsiders earlier decisions. This method is most commonly used to tackle optimization problems. Greedy algorithms employ a problem-solving procedure to progressively build candidate solutions, to approximate the global optimum, by obtaining better and better locally optimal solutions at each stage.

The property states that the globally optimum solution may be determined by first determining the locally optimal solution (Greedy). A Greedy algorithm's decision may be influenced by previous decisions but not by future ones.

Globally Optimal Solution

A globally optimal solution is one where there are no other feasible solutions with better objective function values. A locally optimal solution is one where there are no other feasible solutions in the vicinity with better objective function values.

It makes one Greedy decision after another iteratively, reducing the given problem to a smaller one.

Greedy is an algorithmic paradigm that assembles a solution piece by piece, constantly selecting the next component that provides the greatest evident and immediate advantage.

In greedy method, A locally optimal of solution is generated

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Answer:

A) y = -3x -2

Step-by-step explanation:

1. start at point (-1,1)

2. move down 3 (-3) and over to the right 1 (1)

3. that makes your slope -3/1 which is just -3.

4. find your y-intercept: -2

5. using y=mx+b, plug in your numbers and you get

6. y = -3x -2

Hope this helps! Brainliest, please!

Answer:

7.90

Step-by-step explanation:

turn 17.3% into decimal which is 0.173

45.94*0.173 = 7.90168

round to 2 dp is 7.90

Answer: 672.6410

i'm not kidding this the answer

The value of (f-g)x is x²-2x+2. Therefore, option C is the correct answer.

The given functions are f(x)=x²+1 and g(x)=2x-1.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

We need to find the value of (f-g)(x).

Now, f(x)-g(x)= (f-g)(x)

=x²+1 -(2x-1)

=x²+1-2x+1

=x²-2x+2

The value of (f-g)x is x²-2x+2. Therefore, option C is the correct answer.

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Answer:

y=x-2

Step-by-step explanation:

y= 0-2=-2

y= 1-2=-1

y= 2-2=0

(please mark me as brainliest)

Class limits indicate the largest and smallest data values that can be included in the class. Class limits are referred to actual data values. On the other hand, class boundaries give values that remove gaps between the classes in the frequency distribution. Class boundaries are considered to be one decimal place more accurate in comparison to the data. Options A, B, D, and F correctly describe differences between a class boundary and a class limit.

Following are the potential differences between a class boundary and a class limit.

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Answer:

p = 16

Step-by-step explanation:

(p + 2) - 4 = 14

We can just drop the parentheses:_

p + 2 - 4 = 14

p - 2 = 14

Add 2 to both sides:-

p - 2 + 2 = 14 + 2

p = 16

To define an angle of 25 degrees in radians using Visual Python, it should be written as 25*pi/180.

In Visual Python (VPython), angles are typically expressed in radians. Radians are the preferred unit of measurement for angles in mathematical calculations and most programming languages.

The conversion between degrees and radians involves multiplying the degree value by the conversion factor pi/180.

The constant pi represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14159. Therefore, to convert 25 degrees to radians in Visual Python, we multiply 25 by pi/180, resulting in the expression 25*pi/180.

This calculation accurately represents the angle of 25 degrees in radians within the Visual Python environment.

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Answer:

upwards or to the right

Step-by-step explanation:

If the a value is positive, then the parabola opens upward or to the right, and if the a value's negative, it opens down or to the left. Hope this helps!

P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

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A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

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\(\begin{gathered} \bf \implies3 \frac{81}{100} \\ \end{gathered} \)

Step 1) Add number separately and decimal seperately

Step 2) See the decimal digit and multiply with it and convert it into simplest form

\(\frac{0.81}{1} \times \frac{100}{100} = \frac{81}{100}\)

Step 3) Add number and (simplest form [Find above]

\(3 + \frac{81}{100} = 3 \frac{81}{100}\)

Step 4) We have convert it into mixed fraction and we have get the answer

\(\begin{gathered} \bf \implies3 \frac{81}{100} \\ \end{gathered} \)

Answer:

15

Step-by-step explanation:

The LCD for 1/5 and 1/3 is 15 due to 5, 10, 15

3, 6, 9, 12, 15

15 is the first number that they have in common, when using their denominators, maybe next time with this explanation you won't need help here.

If it was 1/3 and 1/6, you would go 3, 6 and then 6 (though teachers want you to put more to show you understand then put ... at the end since its infinite) So hopefully that clears it up for you.

If Sₙ denotes the sum of the reciprocals of the non-zero digits of the integers from 1 to 10ⁿ inclusive , then the smallest positive integer n for which Sₙ is an integer is 63 .

The "Sₙ" be the sum of reciprocals of the non-zero digits of the integers from 1 to 10ⁿ inclusive ;

We Let \(K= \sum_{i=1} ^{9} \frac{1}{i}\) ,

On further examination , we get that , \(S_{1} =K+1\) ;

Since each digit "n" appears once and the number 1 appears for an extra time.

Now , we write  S₂ .

So ,Each term of K will appear 10 times in the units place and 10 times in the tens place ,

So , we get \(S_{2} = (n10^{n-1})K+1\) ; and there are total "n" places ;

The denominator of K is written as \(D=2^{3} .3^{2} .5.7\) .

For Sₙ to be an integer, \(n10^{n-1}\) must be divisible by D , we must select "n" to be divisible by \(3^{2} .7\)   .

And since need to find the smallest integer "n" , So , the n is \(3^{2} .7 = 63\) .

Therefore , For Sₙ to be an integer , the smallest positive integer n is 63 .

The given question is incomplete , the complete question is

Let Sₙ be the sum of the reciprocals of the non-zero digits of the integers from 1 to 10ⁿ inclusive. find the smallest positive integer n for which Sₙ is an integer .

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The maximum Number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

To find the maximum number of  scholars in each row, we need to determine the  topmost common divisor( GCD) of the total number of  scholars in each section. The GCD represents the largest number that divides all the given  figures unevenly.  

Given that there are 24, 36, and 60  scholars in the three sections, we can calculate the GCD as follows    Step 1 List the  high factors of each number  24 =  23 * 31  36 =  22 * 32  60 =  22 * 31 * 51    

Step 2 Identify the common  high factors among the three  figures  Common  high factors 22 * 31    Step 3 Multiply the common  high factors to find the GCD  GCD =  22 * 31 =  4 * 3 =  12  

 thus, the maximum number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

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