Jodie buys 12 cans of cola.
There are 330 m/of cola in each can.l
Rob buys 4 bottles of cola.
There is 1 litre of cola in each bottle.
Rob buys more cola than Jodie.
How much more?

Answer: Each jump rope will be 2.723 meters long.

Step-by-step explanation:

To divide the 8.169 meters of rope into 3 equal pieces, you need to divide it by 3:

8.169 meters / 3 = 2.723 meters

Each jump rope will be 2.723 meters long.

Equilibrium occurs when the forward and reverse reactions take place at a constant rate in a closed system at a constant temperature.

Equilibrium in a chemical reaction refers to a state where the forward and reverse reactions occur at the same rate, resulting in no net change in the concentrations of reactants and products over time. This state is achieved in a closed system, meaning no reactants or products can enter or leave the system during the reaction. Additionally, the system must be at a constant temperature for equilibrium to be reached.

At equilibrium, the rate of the forward reaction is equal to the rate of the reverse reaction. Initially, as the reactants undergo the forward reaction, the concentration of products increases while the concentration of reactants decreases. Simultaneously, as the products react in the reverse direction, the concentration of reactants increases while the concentration of products decreases. As the system progresses, the rates of both reactions gradually decrease until they reach a point where they are equal. This balanced state is called dynamic equilibrium, as the reactions continue to occur, but with no overall change in the concentration of species. It's important to note that while the concentrations remain constant at equilibrium, the reactions themselves do not stop; they are simply occurring at an equal rate.

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a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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Robert's time was 3 hours, and Wilbur's time was 1 hour and 30 minutes.

To determine the time taken by Robert and Wilbur, we need to use the formula:

Time = Distance / Speed

Since both Robert and Wilbur covered the same distance, we can equate their respective time formulas:

Distance / Robert's Speed = Distance / Wilbur's Speed

Simplifying the equation, we find:

Robert's Speed / Wilbur's Speed = Wilbur's Time / Robert's Time

Given that Robert's speed was 6 miles per hour and Wilbur's speed was 8 miles per hour, we can substitute these values into the equation:

6 / 8 = Wilbur's Time / (Wilbur's Time + 2)

Cross-multiplying and solving for Wilbur's Time, we get:

8(Wilbur's Time) = 6(Wilbur's Time + 2)

8Wilbur's Time = 6Wilbur's Time + 12

2Wilbur's Time = 12

Wilbur's Time = 6

Since Wilbur's time was given in hours and minutes, we convert 6 hours into 6 hours and 60 minutes. Therefore, Wilbur's time is 1 hour and 30 minutes.

To find Robert's time, we add 2 hours to Wilbur's time:

Robert's Time = Wilbur's Time + 2

Robert's Time = 1 hour and 30 minutes + 2 hours

Robert's Time = 3 hours

Thus, Robert's time was 3 hours, and Wilbur's time was 1 hour and 30 minutes.

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Writing extremely big or extremely small numbers using powers of 10 is known as scientific notation.

The Writing extremely big or extremely small numbers using powers of 10 is known as scientific notation, commonly referred to as standard form or exponential notation. In scientific notation, a number is expressed as the product of a coefficient and a power of 10, where the coefficient is a value between 1 and 10 (inclusive), and the power of 10 denotes the number of places the decimal point must be moved to achieve the original number.

For instance, 3,000,000 can be expressed using scientific notation as 3 x 106. As the decimal point needs to be shifted by six places in order to get the original value, the coefficient in this case is three and the power of ten is six. In scientific notation, a number is expressed as the product of a coefficient and a power of 10, where the coefficient is a value between 1 and 10 (inclusive), and the power of 10 denotes the number of places the decimal point must be moved to achieve the original number.

The figure 0.00045 is similar.

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Step-by-step explanation:

so you have to make an equation where you let x=the number, so it would be

x+(2/3)x+(1/4)x=5 3/4

you combine the like terms to get

(23/12)x = 5 3/4

multiply both sides by the reciprocal of 23/12 to isolate x, and you're left with

x=36/92, which simplifies to 9/23.

Answer:MON=99

Step-by-step explanation:

8x-13+7x-17=180

15x=210

x=14

Answer:

Step-by-step explanation:

8x - 13 + 7x - 17 =180

15x - 30 = 180

15x = 210

x = 14

8(14) - 13= 112 - 13 = 99

Answer:

The tiles below represent the polynomial 27 + 7x+6.

X X 1 1 1

X2

x X2 X2 xxx

1 x x 1 1 1

1 X X 1 1 1

х

х

1

What is the factorization of 2x2 + 7x+6?

A. (2x+ 2)(x+3)

B. (x+3)(x+6)

C. (x+3)(x + 2)

D. (2x+3)(x+2)

Step-by-step explanation:

The factorization of 2x² + 7x + 6 is D. (2x+3)(x+2).

The factorization of 2x² + 7x+6 is illustrated below:

= 2x² + 7x + 6

= (2x² + 4x) + (3x + 6)

= 2x(x + 2) + 3(x + 2)

= (2x + 3)(x + 2)

Therefore, the factorization of 2x² + 7x + 6 will be (2x+3)(x+2).

In conclusion, the correct option is D.

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The required, if triangle ABC is isosceles, then AB≅BC is a valid statment.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

here,
A triangle with two sides and two congruent angles is called an isosceles triangle.
So, if triangle ABC is isosceles, then AB≅BC is a valid statement because the definition of an isosceles triangle states that two sides of a triangle are equal.

Thus, the required, if triangle ABC is isosceles, then AB≅BC is a valid statment.

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Answer:

x = sqrt(17) - 1 or x = -1 - sqrt(17)

Step-by-step explanation:

Solve for x:

x^2 + 2 x + 1 = 17

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 1)^2 = 17

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 1 = sqrt(17) or x + 1 = -sqrt(17)

Hint: | Look at the first equation: Solve for x.

Subtract 1 from both sides:

x = sqrt(17) - 1 or x + 1 = -sqrt(17)

Hint: | Look at the second equation: Solve for x.

Subtract 1 from both sides:

Answer:  x = sqrt(17) - 1 or x = -1 - sqrt(17)

The analyst could use the geom_jitter() function to make the points easier to find.

It is difficult for the analyst to distinguish the individual points on the plot because they overlap.

In this question we have been given a data analyst creates a scatterplot with a lot of data points. It is difficult for the analyst to distinguish the individual points on the plot because they overlap.

We need to find a function that could the analyst use to make the points easier to find.

We know that overplotting is caused due to discreteness in smaller datasets.

A function geom_jitter() adds a small random variation to the location of each point, which is a useful way of handling overplotting.

Whereas the function geom_point() adds a layer of points to given plot, which creates a scatterplot.

Therefore, geom_jitter() make the points easier to find.

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The analyst could use the geom_jitter() function to make the points easier to find.

It is difficult for the analyst to distinguish the individual points on the plot because they overlap.

In this question we have been given a data analyst creates a scatterplot with a lot of data points. It is difficult for the analyst to distinguish the individual points on the plot because they overlap.

We need to find a function that could the analyst use to make the points easier to find.

We know that overplotting is caused due to discreteness in smaller datasets.

A function geom_jitter() adds a small random variation to the location of each point, which is a useful way of handling overplotting.

Whereas the function geom_point() adds a layer of points to a given plot, which creates a scatterplot.

Therefore, geom_jitter() makes the points easier to find.

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The answer is -24.

Find an equation of the line tangent to the graph of f(x) = (5x – 4)(x + 2) at (1,3).

To find the equation of the tangent line, we must first take the derivative of the function f(x) which is given by:

$$f(x) = (5x – 4)(x + 2)$$

Using the product rule of differentiation, we have:

f'(x) = 5(x+2) + (5x-4)(1) = 10x+6

So the slope of the tangent line at (1,3) is:

f'(1) = 10(1)+6 = 16

Now we have the slope and a point (1,3). We can use the point-slope formula to find the equation of the tangent line:

y - y1 = m(x - x1)

Here, m = 16, x1 = 1 and y1 = 3.

Therefore, the equation of the line tangent to the graph of f(x) = (5x – 4)(x + 2) at (1,3) is given by:

y - 3 = 16(x - 1)

which can be simplified as y = 16x - 13

Thus, the equation of the tangent line is y = 16x - 13.

Let f(x) = 3x2 – 3 and let g(x) = 4x + 1.

We need to find the value of f[g(-1)].

To find f[g(-1)], we need to first find g(-1) which is given by:

g(-1) = 4(-1) + 1 = -3

Now that we have g(-1), we can find f[g(-1)] which is given by:

f[g(-1)] = f(-3) = 3(-3)2 – 3 = -24

So, the value of f[g(-1)] is -24. Therefore, the answer is -24.

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Las frecuencias son magnitudes que nos permiten representar valores de un fenómeno específico.

La frecuencia rotativa es un término que se refiere a la cantidad de ciclos completados en un período de tiempo por un elemento que gira en su propio eje. La magnitud con la que se puede asociar la frecuencia rotativa depende de distintos factores, no obstante los más comunes suelen ser: segundos, minutos y horas. Algunos ejemplos de frecuencia rotativa es:

La rueda de mi bicicleta tiene una frecuencia rotativa de 50 giros por minuto.

La frecuencia porcentual es un término que se refiere a la cantidad de elementos que tienen características similares por lo que pueden clasificarse en una categoría o clase similar. Por ejemplo, la frecuencia porcentual de personas con uniforme en mi escuela es del 90%.

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Answer:

X=25

Step-by-step explanation:

Since these 2 angles are vertically opposite angles so they are equal. (rule)

75°=(4x-25°)

75° + 25° = 4x

100=4x

X=100/4 = 25

___________

Hope this helps...

The smallest number of degrees we need to rotate this image to look the same is 45°. This is because the image has rotational symmetry.

In geometry, rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The degree of rotational symmetry of an item is the number of possible orientations in which it appears precisely the same for each revolution.

When a form can be turned and yet seem the same, it possesses rotational symmetry.

When the triangle is rotated 360°, it never appears the same until when it returns to its original beginning point.

A shape's minimal order of rotational symmetry is 1.

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Answer:

vnfcjvfn dcjxfhhnvn vn

Step-by-step explanation:

Answer:

the value of 7x-y is -14.

Step-by-step explanation:

When x=2 and y=4,

To find the value of 7x - y when x =2, y = 4, this means when ever you see x, put 2 in replacement, y, put 4 respectively.

7x - y = 7(2 - 4)

14 - 28

= -14.​

The hourly wage of the employee is shown in the graph

Since the graph the has the point (1.40)

In 1 hour the wage of the employee is 40 dollars.

Hence the hourly wage is $40.

Answer:

X=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

15+x=20

or, x=20-15

or, x=5

Answer: 87.6719183867

Step-by-step explanation:

Exact Form: √ 7686.3652736

Decimal Form: 87.67191838 …

Step-by-step explanation: The radical cannot be simplified, but it can be approximated.

Give me brainliest or a thank you pls :)

Answer:

4 small cars

7 large cars

Step-by-step explanation:

To determine the number of small cars rented and the number of large cars rented by the group of college students, we can set up and solve a system of equations.

Let x be the number of small cars.

Let y be the number of large cars.

If the students rented 3 more large cars than small cars, then:

\(y = x + 3\)

Given each small car can hold 4 people, each large car can hold 6 people, and the total number of people that the rented cars could hold is 58, then:

\(4x + 6y = 58\)

Therefore, the system of equations is:

\(\begin{cases} y = x + 3\\4x + 6y = 58\end{cases}\)

To solve the system of equations, substitute the first equation into the second equation and solve for x:

\(\begin{aligned}4x+6(x+3)&=58\\4x+6x+18&=58\\10x+18&=58\\10x&=40\\x&=4\end{aligned}\)

Substitute the found value of x into the first equation and solve for y:

\(y=4+3\)

\(y=7\)

Therefore, the number of cars rented was:

The number of books the seller should send from each warehouse to minimize shipping cost can be presented as follows;

The minimum shipping cost is the cost obtained using the sum of the product of the number of books and the individual shipping cost using the shipping program above.

The word problem can be evaluated based on the available shipping cost and opportunity of savings as follows;

The number of copies of books in Massachusetts warehouse = 70

The number of copies of books in the New York warehouse = 100

The cost of shipping from Massachusetts to New Hampshire = $2

Cost of shipping from Massachusetts to Vermont = $3

Cost of shipping from New York to New Hampshire = $2.50

Cost of shipping from New York to Vermont = $1.70

Therefore; The seller should take advantage of lower cost of shipping from Massachusetts to New Hampshire and ship the 70 copies of the chemistry books in Massachusetts to the high school in New Hampshire, then ship 10 copies of the books from New York also to New Hampshire, then the seller should ship 55 copies of the book from New York to Vermont

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The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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Answer: 25%

Step-by-step explanation: do 250/1,000

you get .25. Then convert that into percentage, which is 25%.

The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

Given,

Benny's arcade has five video game machines

The average time between failures = 34 hours

The maintenance engineer can repair a machine in about = 13 hours

The failure time and repair times are both exponentially distributed

The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.

In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,

λ_f = 1/34λ_r = 1/13

Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.

So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13

= 0.0885 hours⁻¹ (approximately)

Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).

Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

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Answer:

240 seconds (4 minutes)

Step-by-step explanation:

find the lcm (least common multiple) which in this case is 240.

Answer:

Angles T and V

Step-by-step explanation:

Answer:

A. T & V

Step-by-step explanation:

DId the Quiz

The measure of angle A.

\({\boxed{\mathcal{\red{B.\:Angle\: A \:=\: 40° \:}}}}\)✅

We know that,

\(\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}\)

➪ 90° + x + 51 + x + 41 = 180° ( 90° since it is a right-angled triangle )

➪ 2 x + 182° = 180°

➪ 2 x = 180° - 182°

➪ x = \( \frac{ - 2}{2} \)

➪ x = -1°

Now,

Measure of angle A = x + 41

= (-1°) + 41

= 40°

\(\sf\red{Therefore, \:the\: measure\:of \:∠\: A\: is \:40°.}\)

90° + (-1°) + 41 + (-1°) + 51 = 180°

✒ 182°- 2°= 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\(\boxed{Hence\:verified.}\)

\(\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆\)