a. Starting with the number 10, build a sequence of 5 numbers.

Time for working for history is 50 minutes.

First we need to multiply to make the fractions have equal denominators so we can add/subtract.

Science: 1/3 x 4/4=4/12

Math: 1/4 x 3/3=3/12

Now we can find the time she spent on history (I assume this is what you are looking for)

Total time-math time-science time=history time

12/12-4/12-3/12

=5/12

Macy spent 5/12 of her time working on history.

so totak fo 2 hours she spent 5/12 time to work on history

so 2 hours*5/`12 = 5/6 hours = 50 minutes

Q- Macy spent 2 hours working on homework she spent 1/4 of that time working on math he spent 1/3 of her time working on science find time for working for history.

know more about time working problem click here

https://brainly.com/question/1131936

#SPJ4

Answer: octagon

Step-by-step explanation:

Answer:

Step-by-step explanation:

No. c will be decagon because it has 10 sides

As (-2, 2) and (4, -1) lie on a line the equation of the line is: y = (-1/2)x + 1

We can use the slope-intercept form of a linear equation,

which is y = mx + b, where m is the slope and b is the y-intercept.

First, we need to find the slope of the line using the two given points. The slope formula is:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Plugging in the values, we get:

m = (-1 - 2) / (4 - (-2)) = -3/6 = -1/2

Now we have the slope (m = -1/2), and we can use either of the two given points to find the y-intercept (b).

Let's use the first point (-2, 2):

y = mx + b

2 = (-1/2)(-2) + b

2 = 1 + b

b = 1

So the equation of the line is:

y = (-1/2)x + 1

Learn more about line here brainly.com/question/29774095

#SPJ4

For small particles such as atoms and subatomic particles, quantum mechanics produces more accurate results than classical mechanics. As the particle size decreases, the differences between classical and quantum mechanical results become more pronounced.

The particle in an infinite square well potential is treated as a point particle with well-defined position and momentum in classical mechanics. The classical solution to the infinite square well problem involves a particle bouncing back and forth between the well's walls, its energy being provided by the kinetic energy associated with its motion inside the well.

In quantum mechanics, on the other hand, the particle in an infinite square well potential is treated as a wave function that solves the Schrödinger equation. The probability distribution of the particle's position and momentum inside the well is described by the wave function. The allowed energy levels of the particle are quantized and can be calculated using the problem's boundary conditions.

The following formula gives the classical result for a particle's energy in an infinite square well potential:

[tex]n2*h2/(8ma2) = E n[/tex]

where n is an integer, h is Planck's constant, and m is the particle's mass. According to this formula, energy levels are continuous and can take any value.

The quantum mechanical result for a particle's energy in an infinite square well potential, on the other hand, is given by the formula:

[tex]E n = (n2 * pi2 * h2) / (2ma2).[/tex]

n must be a positive integer. According to this formula, energy levels are quantized and can only take on discrete values.

As a result, the classical result for the energy of a particle in an infinite square well potential differs greatly from the quantum mechanical result. The classical result predicts continuous energy levels, whereas the quantum mechanical result predicts quantized energy levels.

To learn more about quantum mechanics

https://brainly.com/question/11855107

#SPJ4

Shawna's new score can be represented by the equation is New Score = Current Score + (Result of Black Cube) + (Result of Red Cube). So, Shawna's new score is 2.

In the game that Shawna is playing, rolling the black cube results in a positive number, while rolling the red cube results in a negative number. We are told that Shawna's current score is 4, which means that she has accumulated 4 points up to this point in the game.

Next, we are told that Shawna rolls a red 5 and a black 3. This means that the red cube resulted in a negative 5 and the black cube resulted in a positive 3.

To calculate Shawna's new score, we can add the results of these two rolls to her current score. However, we need to be careful to subtract the negative number, rather than adding it. This is because a negative number is actually a decrease in score.

Therefore, we can use the following equation to calculate Shawna's new score:

New Score = Current Score + (Result of Black Cube) + (Result of Red Cube)

Substituting in the values that we know, we get:

New Score = 4 + 3 + (-5)

Simplifying, we can combine the positive and negative numbers:

New Score = 4 - 2

Therefore, Shawna's new score is 2. This means that after rolling a red 5 and a black 3, her score has decreased by 2 points from her original score of 4.

To learn more about equation click on,

https://brainly.com/question/19161037

#SPJ4

By understanding what composite numbers are and how they relate to rolling a die, we can determine the expected number of times Ms. Rod will roll a composite number in 57 rolls.

A composite number is a positive integer that has at least one positive divisor other than one or itself. In other words, a composite number is a number that can be factored into smaller positive integers.

To find the number of times Ms. Rod should expect to roll a composite number, we need to know how many numbers from 1 to 6 are composite. Only two numbers are prime in this range, namely 2 and 3. This means that the other four numbers (4, 5, and 6) are composite. Therefore, out of the 6 possible outcomes of rolling the die, 4 of them are composite numbers.

We can use this information to calculate the expected number of times Ms. Rod will roll a composite number. We know that she is rolling the die 57 times, and each roll has a probability of 4/6 (or 2/3) of resulting in a composite number. Therefore, we can use the formula for the expected value of a discrete random variable, which is:

Expected value = (number of trials) x (probability of success)

Plugging in the values, we get:

Expected value = 57 x 2/3

Expected value = 38

Therefore, we can expect Ms. Rod to roll a composite number about 38 times out of 57 rolls. However, it's important to note that this is just an expected value, and the actual number of times she rolls a composite number may vary.

To know more about composite number here.

https://brainly.com/question/28199758

#SPJ4

a) The missing frequency is 20

b) The modal number of people in a car is 1

c) The median is 3

d) The mean is 0.95

The sum of the frequencies must be 60.

The missing frequency by subtracting the sum of the other frequencies from 60

60 - (28 + 3 + 7 + 1 + 1) = 20

To find the median, we need to arrange the data in order from smallest to largest:

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6

There are 60 numbers in total, so the median is the average of the 30th and 31st numbers:

median = (3 + 3)/2 = 3

The mode is the value with the highest frequency, which is 1.

mean = (1 x 28 + 2 x 20 + 3 x 3 + 4 x 7 + 5 x 1 + 6 x 1) / 60

= (28 + 40 + 9 + 28 + 5 + 6) / 60

= 0.95

Therefore, the missing frequency, mode, median and mean has been found

Learn more about mean here

brainly.com/question/4001516

#SPJ4

The given question is incomplete, the complete question is

Hassan recorded the number of people in 60 passing cars

people 1 2 3 4 5 6

frequency 28 ? 3 7 1 1

a)find the missing frequency

b)median

c)modal

d)mean

Answer:

Answer is in the attached photo.

Step-by-step explanation:

The solution is in the attached photo, do take note for this question, we will have to make x the subject and solve for x.

1a. The interest that Thato will pay equals to R3,840.

1b. The final amount he will pay for the bicycle will be R 11 840.

a) To calculate the interest that Thato will pay, you can use the following formula:

Interest = Principal * Rate * Time

Interest = R 8,000 * 0.14 * 3

Interest = R3 840

Final amount = Principal + Interest

Final amount = R 8,000 + R 3,840

Final amount = R 11,840

Cost price per rose = Total cost of roses / Number of roses

Cost price per rose = R 900 / 200

Cost price per rose = R 4.50

Selling price per rose = Price of bouquet of 5 roses / Number of roses in the bouquet

Selling price per rose = R 35 / 5

Selling price per rose = R 7.00

Profit per rose = Selling price per rose - Cost price per rose

Profit per rose = R 7.00 - R 4.50

Profit per rose = R 2.50

Read more about Interest

brainly.com/question/25793394

#SPJ1

Answer: 2 *(3+4)= (2x3)+ (2x4)

Step-by-step explanation:

Yes, the product of (x - 3)^2 is a perfect square trinomial because it can be written as the square of the binomial (x - 3).

A perfect square trinomial is a trinomial of the form a^2 + 2ab + b^2, where a and b are terms that can be squared. When we expand the square of a binomial, we get a perfect square trinomial.

In this case, the binomial is (x - 3), and its square is (x - 3)^2. When we expand this expression, we get:

(x - 3)^2 = (x - 3)(x - 3) = x^2 - 6x + 9

This is a perfect square trinomial, because it can be written as the square of the binomial (x - 3). Specifically, we can write:

(x - 3)^2 = (x - 3)(x - 3) = (x - 3)^2

Therefore, the product of (x - 3)^2 is a perfect square trinomial.

You can learn more about  perfect square at

https://brainly.com/question/1538726

#SPJ4

Answer:La masse d'un atome de cuivre est de 1,05 x 10^-25 kg. Un atome de cuivre comporte 29 électrons. Ces electrons constituent le nuage electronique de l'atome. chaque electron a une masse de 9,11 x 10^-311.

Step-by-step explanation:

Answer: 25,000 grams

Step-by-step explanation:Really sorry if im wrong.

The two points that a line of fit will go through to best fit the data are;

B: ( 3, 7) and (9, 1)

Scatter plots are defined as the graphs that present the relationship between two variables in a data-set. It is used to represent data points on a two-dimensional plane or on a Cartesian system. The independent variable or attribute is plotted on the X-axis, while the dependent variable is plotted on the Y-axis.

A line of best fit is a straight line drawn through the maximum number of points on a scatter plot. It should have an equal number of points above and below that line. This is best represented on the blue line on the attached graph. It touched 4 points and is between the green and red line.

Read more about Scatter Plot at; https://brainly.com/question/6592115

#SPJ1

The value of x and y are not specified, but the result of the multiplication is 24x^2 + 76x + 50.

What do you mean by Expression?

In mathematics, an expression is a mathematical phrase that can contain numbers, variables, and operators. Expressions can be combined and simplified to solve problems, find relationships, and evaluate the truth of statements. For example, the expression "3 + 4" is a simple expression that represents the value 7 when evaluated.

Expressions can also be more complex, involving multiple operations, variables, and functions. For example, the expression "2x + 3y - z" is a more complex expression that involves three variables and three different operations.

Given the expression (3x + 5)(8x + 10), to find the value of x and y, we have to multiply the two expressions inside the parentheses and simplify the result.

Multiplication of the expressions:

(3x + 5)(8x + 10) = 24x^2 + 76x + 50

So, the value of x and y are not specified, but the result of the multiplication is 24x^2 + 76x + 50.

Learn more about mathematical expression

https://brainly.com/question/30350742

#SPJ1

One serving of Christian's lemonade has 0.125 cups more water than one serving of Hayden's lemonade.

Lemonade is a sweetened beverage made from lemon juice, water, and sugar. It is typically served cold, and may also include other ingredients such as fruit, herbs, or carbonated water. Lemonade is a popular summer drink that is enjoyed in many parts of the world.

First, we can find the amount of water per serving in Hayden's lemonade by dividing the total amount of water (2.25 cups) by the number of servings (9 people):

Water per serving in Hayden's lemonade = 2.25 cups / 9 = 0.25 cups per serving

Next, we can find the amount of water per serving in Christian's lemonade by dividing the total amount of water (3.75 cups) by the number of servings (10 people):

Water per serving in Christian's lemonade = 3.75 cups / 10 = 0.375 cups per serving

To find how much more water is in one serving of Christian's lemonade compared to one serving of Hayden's lemonade, we can subtract the water per serving in Hayden's lemonade from the water per serving in Christian's lemonade:

Water per serving difference = 0.375 cups per serving - 0.25 cups per serving = 0.125 cups per serving

Therefore, one serving of Christian's lemonade has 0.125 cups more water than one serving of Hayden's lemonade.

To know more beverage visit:

brainly.com/question/20302225

#SPJ1

The upper bound for the difference between the number of people at the football match and at the cricket match  is 29750<=p<=29849 .

p = number of people

The true value of p is unknown, but we know that it rounds to 29800 when rounding to the nearest hundred people.

The smallest p could be is 29750 since that rounds to 29800.

The largest is 29849; note that 29850 rounds to 29900.

We have this interval 29750<=p<=29849

r = the rate in which the people leave

This rate is in "people per minute".

Like p, the true value of r is unknown.

The midpoint of 350 and 400 is (350+400)/2 = 375, which represents the smallest value r could be if we round to the nearest 50.

The value 374 would round to 350.

On the other side of the spectrum, (400+450)/2-1 = 425-1 = 424 rounds to 400 as well when rounding to the nearest 50.

The value 425 rounds to 450.

To wrap this section up, you have this interval 375<=r<=424

Summary so far:

29750<=p<=29849

375<=r<=424

where p is the number of people and r is the rate in which they leave (in people per minute).

If we have the smallest number of people (29750) and the highest rate in which they leave (424), then we'll get the lower bound of how long it takes everyone to leave.

This can be thought of as the floor value.

time = (number of people)/(rate)

time = (29750)/(424)

time = 70.1650943396227

time = 70.165

Hence, the upper bound for the difference between the number of people at the football match and at the cricket match  is 29750<=p<=29849 .

Learn more about upper bound and lower bound at:

https://brainly.com/question/28725724

#SPJ1

Step-by-step explanation:

Since y is on a straight line, it'll be easy

The degree of a straightine is 180

You have one angle of 57, so all we do is subtract 57 from 180

180-57 = 123

The combinations that are more affected by extreme observations are mean and standard deviation, while the combinations that are less affected are median and IQR.

The mean is more affected by extreme observations, because it takes into account the value of every observation in the data set, whereas the median only considers the middle value(s) and is therefore less sensitive to extreme values.

The standard deviation is more affected by extreme observations, because it takes into account the difference between each observation and the mean of the data set. A single extreme value can have a large impact on the mean, and therefore on the standard deviation.

On the other hand, the interquartile range (IQR) is less affected by extreme observations, because it only considers the range of the middle 50% of the data. The median and IQR are often used together to describe a data set that has extreme values or is not normally distributed.

To learn more about standard deviation please click on below link        

https://brainly.com/question/23907081

#SPJ4

[tex]\cfrac{\sqrt[3]{27xy^3}}{5x^{\frac{4}{3}}y^2}\implies \cfrac{\sqrt[3]{3^3 xy^3}}{5x^{\frac{4}{3}}y^2}\implies \cfrac{(3^3 xy^3)^{\frac{1}{3}}}{5x^{\frac{4}{3}}y^2}\implies \cfrac{3^{3\cdot \frac{1}{3}}x^{\frac{1}{3}}y^{3\cdot \frac{1}{3}}}{5x^{\frac{4}{3}}y^2}\implies \cfrac{3x^{\frac{1}{3}}y}{5x^{\frac{4}{3}}y^2}[/tex]

[tex]\cfrac{3}{5}\cdot \cfrac{x^{\frac{1}{3}}y}{x^{\frac{4}{3}}y^2}\implies \cfrac{3}{5}\cdot x^{\frac{1}{3}}yx^{-\frac{4}{3}}y^{-2}\implies \cfrac{3}{5}\cdot x^{\frac{1}{3}}x^{-\frac{4}{3}}yy^{-2}\implies \cfrac{3}{5}\cdot x^{\frac{1}{3}-\frac{4}{3}} y^{1-2} \\\\\\ ~\hfill {\Large \begin{array}{llll} \stackrel{a ~~~~ b ~~ ~~ c}{0.6 x^{-1}y^{-1}} \end{array}}~\hfill[/tex]

The value of the equation is 35 = 15 + 2y , where y is the number of years and the y = 10 years

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

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

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the initial height of the weeping willow be = 15 feet

Let the final height of the weeping willow be = 35 feet

The height in feet the weeping willow grows each year = 24 inches = 2 feet

Let the number of years be = y

On simplifying the equation , we get

35 = 15 + 2y

Subtracting 15 on both sides of the equation , we get

2y = 20

Divide by 2 on both sides of the equation , we get

y = 10 years

Hence , the equation is y = 10 years

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

The shape of the graph b will be linear with an immediate decrease in speed.

In Mathematics, a position vs time graph can be defined as a type of graph that is used to graphically represent the distance traveled by an object from its starting position with respect to the time when it is started moving.

Generally speaking, the position or distance traveled by a physical object in a position vs time graph is always plotted on the y-coordinate while time is always plotted on the x-coordinate (x-axis).

In this scenario, the rate of change of the shape's position can be calculated as follows:

Rate of change = (30 - 50)/(40 - 30)

Rate of change = -20/10

Rate of change = -2.

Read more on position vs time graph here: brainly.com/question/25645133

#SPJ1

The time taken by the new computer to send an email found using the unitary method, is 7.5 minutes.

What is a unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Let,

Time taken by new computer to send 1 email = x

Time taken by the old computer to send same mail = 2x

Using unitary method

In 1 minute

Work done by new computer = 1/x

Work done by old computer =1/2x

Given the time taken when both computers work together  = 5 minutes

Work done in 1 minute by both = 1/5

So we can write,

1/x + 1/2x = 1/5

3/2x = 1/5

x = 7.5 minutes

Therefore the time taken by the new computer to send an email found using the unitary method, is 7.5 minutes.

To learn more about unitary method, follow the link.

https://brainly.com/question/24587372

#SPJ1

Answer:22.61 degrees

Step-by-step explanation:

Use reverse tangent

The percentage increase in the population of the town is 12%.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                                Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Increase in population =  90,000 - 80,000  = 10,000

          Percentage increase = 10,000/80,000 * 100 = 100/8 = 12.5%

Hence the percentage increase in the population of the town is 12%.

Learn more about a linear equation.

brainly.com/question/29739212

#SPJ1