An online retailer sells two packages of protein bars. 10−pack of 2.5 ounce bars 12−pack of 1.8 ounce bars $ 19.50 18.75 Which package has the better price per bar?

The extra number of people that should be engaged to reap the field in 10 days is given by A = 21 people

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the extra number of people that should be engaged to reap the field in 10 days be represented as A

Now , the number of people that should be engaged to reap the field in 10 days = n

The number of people that can reap the field in 17 days = 30 persons

So , the proportion is

30 x 17 = n ( 10 )

On simplifying , we get

Divide by 10 on both sides , we get

n = ( 30 x 17 ) / 10

n = 3 x 17

n = 51

And , the number of extra persons A = n - 30

So , the extra number of people that should be engaged to reap the field in 10 days A = 21 people

Hence , the proportion is A = 21 people

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The concept time and work is used here to determine the number of people required to reap the same field in 10 days. The number of people required is 51.

The time and work represents the time taken by an individual or a group of individuals to complete a piece of work and the efficiency of the workdone by each of them.

If 30 persons can reap a field in 17 days

1 person can reap = 30 × 17 = 510 days

In 10 days, number of persons needed = 510 / 10 = 51 persons

Thus 51 persons can reap the field in 10 days.

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Answer:

Step-by-step explanation:

m= 3/1

Answer: 3

Step-by-step explanation: This equation is written in y = mx + b form.

In this form, the m is the slope and the b is the y-intercept.

Take a look below.

So the slope of this line is 3.

Let's see

\(\\ \rm\dashrightarrow \dfrac{60-55}{60}\times 100\)

\(\\ \rm\dashrightarrow \dfrac{5}{60}\times 100\)

\(\\ \rm\dashrightarrow \dfrac{50}{6}\)

\(\\ \rm\dashrightarrow 8.3\%\)

The problem requires us to find the second derivative of the function, and then find its value at x=4. The given function is `f(x) = x²/(2 + x)`.Final Answer: The value of\(`f''(4)` is `4/216`.\)

Solution:We start by finding the first derivative of the function.\(f(x) = `x²/(2 + x)`= `x²(2 + x)^(-1)`Let u = 2 + x\)

Then f(x) = `(x²)/(2 + x)` = `(x²)(u^(-1))`Now, applying the quotient rule, we have:

\(f'(x) = `(d/dx)[x²(u^(-1))]` = `x(2u^(-1)) - x²(u^(-2))(du/dx)`= `(2x)/(2 + x) - (x²)/(2 + x)^2`= `(2x(2 + x) - x²)/(2 + x)^2` = `2x(2 + x - x)/(2 + x)^2` = `2x/(2 + x)^2\)`Now, we can find the second derivative of the function as follows:

\(f''(x) = `(d/dx)[2x/(2 + x)^2]` = `(2(2 + x)^2 - 2x(2 + x)(2))/(2 + x)^4` = `(2(2 + x - x))/((2 + x)^3)` = `4/(2 + x)^3`\)Now, substituting x = 4 in the equation above, we get:\(f''(4) = `4/(2 + 4)^3` = `4/216`\)

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The most suitable data type for storing annual employee salaries ranging from $25,000 to $700,000 would be option (c) decimal(10,4).

Next, we can consider float and double data types, which can store decimal values with a higher range and precision than integers. However, they can be imprecise and cause rounding errors when used to store currency values, which can be a significant issue in financial calculations.

The most appropriate data type for storing currency values is the decimal data type, which is designed to handle decimal values with high precision and accuracy. The decimal data type can store exact numeric values up to 38 digits, with a user-defined scale (the number of digits to the right of the decimal point).

Therefore, option (c) decimal(10,4) would be the best data type for storing annual employee salaries ranging from $25,000 to $700,000.

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Complete Question:

Annual salary of each employee has to be stored in dollars and cents. The salaries vary from minimum of $25,000 to maximum of $700,000. Which of the following would be the most suitable data type?

a) decimal(8.2)

b) decimal

c) decimal(10.4)

d) Small money

e) money

To create the required plots in MATLAB, you can use the following code after the provided script:

```matlab
% Plotting
figure();

% Moment x component vs Bx
subplot(2,2,1);
plot(Bx, Mx, 'b');
title('Moment x Component vs Bx');
xlabel('Bx (ft)');
ylabel('Mx (lb-ft)');

% Moment y component vs Bx
subplot(2,2,2);
plot(Bx, My, 'r');
title('Moment y Component vs Bx');
xlabel('Bx (ft)');
ylabel('My (lb-ft)');

% Moment z component vs Bx
subplot(2,2,3);
plot(Bx, Mz, 'g');
title('Moment z Component vs Bx');
xlabel('Bx (ft)');
ylabel('Mz (lb-ft)');

% Moment magnitude vs Bx
subplot(2,2,4);
plot(Bx, Mmag, 'm');
title('Moment Magnitude vs Bx');
xlabel('Bx (ft)');
ylabel('Mmag (lb-ft)');
```

This code creates a 2x2 subplot, where each subplot represents one of the required graphs. Each plot has a title, axis labels, and units. The plot() function is used to create the graphs, while subplot() divides the figure into subplots. The title(), xlabel(), and ylabel() functions are used to label the graphs.

While answering questions on the Brainly platform, it is important to be factually accurate, professional, and friendly. Answers should be concise and not provide extraneous amounts of detail. It is important to use the following terms in your answer: "Vector," "graphs," and "coordinate."

To generate one or more plots of the moment components and moment magnitude as a function of the A cable end position, the following steps need to be followed:First, allocate solution vectors Mx, My, Mz, and Mmag as zeros. Then loop to calculate and save the moments for each Bx. Then, calculate the direction A to B and calculate the tension force vector Fb.

Next, calculate the cross product A position and force to obtain the moment M. Finally, save the values in arrays Mx, My, Mz, and Mmag. You only need to plot Mx vs Bx, My vs Bx, Mz vs Bx, and Mmag vs Bx.To plot the graphs, the following commands need to be used:figure(): It opens a new figure window.plot(): It is used to plot the data.

It is also used to customize the markers, line style, and color.title(): It is used to give a title to the graph.xlabel(): It is used to label the x-axis.ylabel(): It is used to label the y-axis.ylim(): It is used to set the limits for the y-axis.legend(): It is used to label the lines or curves of the graph.hold: It is used to retain the current graph and add new plots to it. It can be set to either on or off.

The given script is calculating and saving the moments for each Bx. The code to plot the graphs is as follows:plot(Bx,Mx,'LineWidth',2)title('Moment components vs Bx')xlabel('Bx (ft)')ylabel('Moment (lb-ft)')hold onplot(Bx,My,'--','LineWidth',2)plot(Bx,Mz,'.-','LineWidth',2)legend('Mx','My','Mz')grid onhold offThe code given above will plot the graphs for Mx vs Bx, My vs Bx, and Mz vs Bx.

The graph for Mmag vs Bx can be plotted using the following code:plot(Bx,Mmag,'LineWidth',2)title('Moment Magnitude vs Bx')xlabel('Bx (ft)')ylabel('Moment (lb-ft)')grid onThe graphs obtained using this code will clearly depict the trends for each component.

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The candy store will use 103 grams of sugar in 10 hours.

To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).

To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.

We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.

So the calculation would be:

10.3 grams/hour x 10 hours = 103 grams

Therefore, the candy store will use 103 grams of sugar in 10 hours.

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Answer: I think its 294cm²

The mass of cocoa contained in a chocolate bar of mass 73 grams is: (73 x 54) / 100 = 39.42 grams

Answer:

27s

Step-by-step explanation:

d = distance to rendezvous point in miles

t = time of arrival at 10mph, i.e. 3 mins later than appointed time

10 mph = 10 miles per hour = ¹/₆ miles per min

12 mph = ¹/₅ miles per min

t = d/(¹/₆)

t = 6d

5 min = ¹/₁₂ hr

t - ¹/₁₂ = d/(¹/₅)

t = 5d + ¹/₁₂

Elimination of t:

6d = 5d + ¹/₁₂

d = ¹/₁₂ mi

t = 6(¹/₁₂)

t = ¹/₂ min

Time left to appointed time = ¹/₂ - ³/₆₀

= ¹⁰/₂₀ - ¹/₂₀

= ⁹/₂₀.min → 27 seconds

Answer:

27 min

Step-by-step explanation:

rsm

(-4)^{2/7} in radical form is 7√16

A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol.

In fractional Indices, when the power or exponent of a number is in fraction, the denominator is the root while the numerator is the power.

For example, 2^{2/3} is an example of expression with fractional exponents. Here 2 is the power and 3 is the root.

2² = 4

2^{2/3} = 3√4

Similarly the expression (-4)^{2/7}

(-4)² = 16

(-4)^{2/7} = 7√16

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Answer:

please see analysis

step by step explanation

\(if \: y \: varies \: inversely \: as \: \: as \: x \ \: meanc \\ y = \frac{k}{x} \\ where \: y = 1 \: \: x = 3 \\ 1 = \frac{k}{3} \\ k = 3 \times 1 = 3 \\ equation \: connecting \: x \: and \: y \\ y = \frac{3}{x} \\ finding \: y \: when \: x = 9 \\ y = \frac{3}{9} \\ y = \frac{1}{3} \)

Answer:

-5/8, 1/3, -3/2

Step-by-step explanation:

1.

-7/8+1/4

-7/8+2/8

(-7+2)/8

-5/8

2.

-19/3+20/3

1/3

3.

2-7/2

(4-7)/2

-3/2

1-

-7/8+1/4

-7/8+2/8

(-7+2)/8

-5/8

2-

When two equal forces act on an object at right angles, the resultant force can be found using the Pythagorean theorem. Let's denote the magnitude of each force as F.

Given:

Resultant force magnitude = 120 N

Using the Pythagorean theorem, we have:

Resultant force magnitude² = (Force 1 magnitude)² + (Force 2 magnitude)²

(120 N)² = F² + F²

14400 N² = 2F²

Dividing both sides by 2:

7200 N² = F²

Taking the square root of both sides:

F = √7200 N

F ≈ 84.85 N

Therefore, each force has a magnitude of approximately 84.85 N.

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The mean retirement age in the census report is 68.3 years.

The given information states that the population mean retirement age is 68.3 years, and a random sample of retirement age has a sample mean of 65.8 years. We can use this information to estimate the population mean with a certain level of confidence.

However, the question asks us to find the mean of 68.3 years, which is simply the given population mean. Therefore, we can state that the mean of 68.3 years remains the same, as it is not affected by the sample mean or any other sample statistic.

In other words, the population mean of 68.3 years is a fixed value, and it does not change based on the sample mean or any other sample statistic. Therefore, we can simply state that the mean retirement age is 68.3 years, which is the given information provided in the question.

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Given:

Center of circle, (h, k) = (-10, -4)

Point the circle passes through ==> (4, -2)

Let's write the equation of the circle in standard form.

Apply the standard form of a circle equation:

Where:

(h, k) is the radius.

r is the radius of the circle.

To find the radius, let's find the distance between the points using the distance between points:

Where:

(x1, y1) ==> (-10, -4)

(x2, y2) ==> (4, -2)

Thus, we have:

Hence, we have:

• Center, (h, k) = (-10, -4)

• Radius of the circle = √200

Therefore, the equation of the circle is:

ANSWER:

Answer:

18

Step-by-step explanation:

1/3 of 27 is 9 so 2/3 is 18

we have the expression

Group similar terms

Combine like terms

The polynomial equation representing the situation is 4x² + 56x = 93  .

In the question ,

it is given that

the length of the rectangular garden is = 16 feet

the width of the rectangular garden is = 12 feet

we have to surround the border by mulch ,

the width of the border with mulch is = x

So the new length with mulch = 16 + x + x = 16 + 2x

and the new width with mulch is = 12 + x + x = 12 + 2x

also given that the area of garden plus border is = 285 square feet

we know that the area is = length × width

On substituting the values length and breadth , we get

285 = (16 + 2x)×(12 + 2x)

285 = 192 + 32x + 24x + 4x²

4x² + 56x + 192 = 285

4x² + 56x = 285 - 192

4x² + 56x = 93

Therefore , The polynomial equation representing the situation is 4x² + 56x = 93  .

The given question is incomplete , the complete question is

Garden a rectangular garden is 12 feet across and 16 feet long. it is surrounded by a border of mulch that is a uniform width x. the maximum area for the garden, plus border, is 285square feet . Write a polynomial equation to represent the situation ?

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Answer:

35/72 yards of ribbon

Step-by-step explanation:

Answer: x

=

7

y

z

+

1

2

y

+

−

1

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

To determine what the area of the shaded region is, simply find the area of the large rectangle and subtract the product from the smaller one.

Since they are polynomials. Multiply one binomial to the other and first obtain the product, before subtracting the product of the smaller rectangle.

(5x + 2)(3x - 1) - (x)(x + 7)

15x^2 - 5x + 6x - 2 - x^2 - 7

14x^2 + x - 9.

I believe this would be the solution in standard form.

Answer:

A

C

D

Step-by-step explanation:

Select three ratios that are equivalent to 4:3.

Choose 3 answers:

(Choice A)

8:6

(Choice B)

9:12

(Choice C)

20:15

(Choice D)

32:24

(Choice E)

36:28

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

To determine which fractions are equivalent to 4:3 express the options in their lowest terms

option 1 - 8 : 6

To transform to the simplest form. divide the numbers by 2

4 : 3 this is equivalent

option 2 : 9 : 12

To transform to the simplest form. divide the numbers by 3

= 3 : 4 this is not equivalent

option 3 : 20:15

To transform to the simplest form. divide the numbers by 5

4 : 3 this is equivalent

option 4 : 32:24

To transform to the simplest form. divide the numbers by 8

4 : 3 this is equivalent

option 5 : 36:28

To transform to the simplest form. divide the numbers by 4

9 : 7 this is not equivalent

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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To write 0.0000638 in scientific notation, we need to express it as a decimal number between 1 and 10 multiplied by a power of 10.

Starting with 0.0000638, we can move the decimal point to the right until we have a number between 1 and 10. We move it 4 places to the right, resulting in 6.38.

Since we moved the decimal point 4 places to the right, the exponent on 10 is -4.

Therefore, in scientific notation, 0.0000638 is written as 6.38 × 10^(-4).

In scientific notation, the exponent represents the number of places the decimal point was moved. A positive exponent means moving the decimal point to the right, while a negative exponent means moving it to the left. In this case, with an exponent of -4, we moved the decimal point 4 places to the left to obtain a number between 1 and 10.

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Answer:

B

Step-by-step explanation:

OEMJIGOVNarioendsdmarfwsipf JUST BELIEVE, also looking is good

The true statements on comparing Jasmine’s two drawings are B and C.

The sum of a finite traingle's interior angle is equal to 180° and this is called the Angle Sum Property of a Triangle.

It is given in the question

Jasmine drew triangles on a globe and on a flat map of the world

On comparing both the triangle the conclusions are

The triangle drawn on the globe is a spherical triangle and the angle sum of the interior angle will be greater that the two right angles or 180°.

Among the option given this is also true that

The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe

Therefore option B and C are both true statement comparing Jasmine’s two drawings .

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The least common denominator is :- 96x3

Math: a number that can be divided by each of a collection of fractions' numerators. The common denominator of 1/4 and 1/3 is 36.

If the denominators of the two fractions are the same, any mathematical operation, such as addition or subtraction, involving two or more fractions, is conceivable. The term "common denominator" refers to this.

By multiplying the denominator (bottom) by the same number as the numerator (top), we can obtain common denominators

In the above question:-

24x2= 2*2*2*3*x*x

24x3= 2*2*2*3*x*x*x

96x2= 2*2*2*3*3*x*x

96x3=2*2*2*3*3*x*x*x

Hence the least common denominator of the above question is

2*2*2*3*3*x*x*x= 96x3

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The depth of water in tank A is modeled by a differentiable and increasing function h.

This means that the function h describes how the depth of water changes as time passes.

The fact that it is differentiable means that the function has a well-defined slope at every point, which indicates how quickly the depth is changing. This means that the function is continuous and smooth, with no sharp turns or corners.
Furthermore, the fact that the function is increasing means that the depth is always getting higher over time.

This makes sense since water is constantly being added to the tank.

Hence, the depth of water in tank A is described by a differentiable and increasing function h, which means that the function has a well-defined slope at every point and that the depth is always getting higher over time.

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Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.

The researcher would design and implement the program, and this variable would be under their control.

Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.

In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.

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Answer:

-2 inches per hour

Step-by-step explanation:

Finding the average rate of change is just like finding the slope. So, take the y values (height) and subtract them and divide that by the difference in the x values (time).

( 3 - 9 ) / ( 8 - 5 )

= -6 / 3

= -2 inches per hour