Determine if the system has a nontrivial solution. Try to use as few row operations as possible. 4x^1-6x^2 + 13x^3 = 0 -4x^1-10x^2-x^3 = 0 8x^1+4x^2 +14x^3 = 0 Choose the correct answer below. A. It is impossible to determine. B. The system has only a trivial solution. C. The system has a nontrivial solution.

P(59) is  281 billion dollars and it agrees with the function.

A growth function is a mathematical function that describes the growth rate of some quantity over time. It can be used to model a wide range of phenomena, such as population growth, economic growth, and the growth of biological organisms.

We can see that the function can be give as;

P(t) = 567 + t(36t^0.6 - 104)

t is the number of years since 1960

At P(59) Which means 59 years after 1960;

P(59) = 567 + 59(36(59)^0.6 - 104)

P(59) = 281

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Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

it takes a train going 50 mph approximately 1 ½ miles to stop safely.

What exactly is speed?

The pace at which an object's location changes in any direction. The distance traveled relative to the time it took to travel that distance is how fast something is moving.

                                 Due to its lack of magnitude and merely having a direction, speed is a scalar number.

What is speed distance formula?

That is speed = distance time. Or, to put it another way, you may calculate the time by dividing the distance traveled by the speed. The third input can be calculated if you know two of the inputs.

                      Using the formula 120 x 2 = 60 mph, we can calculate the speed of a car that drives 120 miles in two hours.

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If you are trying to accommodate a party of 8 and you have square tables that seat 4 people each, you would need to bring in 2 tables and push them together to fit the party of 8.

The reason for this is that 4 people can be seated at each table, and 2 tables together would provide enough seating for 8 people. Pushing the tables together will create a larger table that can accommodate the party of 8. It's important to ensure that the tables are pushed together securely so that they don't move or separate during the meal.

It's also important to consider the layout of the tables and how they will fit in the space where they will be used. It's a good idea to measure the space and the tables to ensure that they will fit comfortably and provide enough room for people to sit and move around. If the tables need to be rearranged or moved, it's important to do so carefully to avoid damaging the tables or injuring yourself or others.

When setting the tables, it's also important to consider the comfort of the diners. Make sure that there is enough room for people to sit comfortably and move their arms and legs, and that the tables are positioned so that everyone has a clear view of their surroundings and is not blocked by other diners or objects.

In conclusion, to accommodate a party of 8, you would need to bring in 2 square tables that seat 4 people each and push them together. It's important to consider the layout and comfort of the diners, as well as the safety of the tables and those who are setting them up.

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Candace would save approximately $2,480 by waiting a year and not taking her unpaid time from work to travel. Thus, Option A holds the truth.

By waiting a year, Candace would be able to save her 2 weeks of salary, which would amount to:

And since she would not have to pay the 1% interest for a year on the loan for her trip, she would save:

So in total, Candace would save:

Candace would save $2,480 by waiting a year to take her trip and paying for it with her own money.

This question should be provided with answer choices, which are:

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Answer: c

Step-by-step explanation: this is for kids its easy

The variable "colors of cars in a mall parking lot" is a categorical variable because it is a qualitative variable.

Categorical variables are variables that describe the characteristics of a group of entities and are usually described by words or labels. They are used to classify data into categories or groups and do not have a numerical or quantifiable meaning.

Examples of categorical variables include gender, religion, nationality, etc. In contrast, numerical variables are quantitative variables that have numerical or quantifiable meaning. They can be either discrete or continuous.

Discrete variables are countable, meaning that they have a finite number of possible values. Examples of discrete variables include age, number of siblings, etc. Continuous variables are variables that can take on any value within a given range. Examples of continuous variables include height, weight, etc.

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The required standard deviation of the new data set is 9.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

When 16 is added to each number in the data set, the variance of the new data set is not affected. The variance of a data set is the average of the squared deviations of the data values from the mean, and adding a constant to each data value shifts the mean but does not affect the deviations or their squares.

However, the standard deviation, which is the square root of the variance, will change because the standard deviation is expressed in the same units as the original data, while the variance is expressed in squared units. To find the standard deviation of the new data set, we need to take the square root of the variance, which is 81, and add 16 to each data value. The standard deviation of the new data set is equal to the square root of 81 + 16 = 9.

So, the standard deviation of the new data set is 9.

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The transformation rule descriptions are;

1) Reflection over the x-axis

(x, y) → (x, -y)

2) Reflection over the x-axis

(x, y) → (x, -y)

3) Reflection over the y-axis

(x, y) → (-x, y)

4) Reflection over the x-axis and then a reflection over the y-axis:

(x, y) → (-x, -y)

1) We clearly see that the transformed image is an exact mirror image of the original image which is a rhombus. Thus, the transformation is a reflection over the x-axis.

This is expressed as (x, y) → (x, -y)

2) We clearly see that the transformed image is an exact mirror image of the original image which is a triangle. Thus, the transformation is a reflection over the x-axis.

This is expressed as (x, y) → (x, -y)

3) We clearly see that the transformed image is an exact mirror image of the original image which is a rectangle. Thus, the transformation is a reflection over the y-axis.

This is expressed as (x, y) → (-x, y)

4) We clearly see that the transformed image is an exact mirror image of the original image which is a pentagon. Thus, the transformation is a reflection over the x-axis and then a reflection over the y-axis.

This is expressed as (x, y) → (-x, -y)

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The survey conducted by Cynthia jones is an example of primary research

Primary research is a process used by researchers to acquire data directly rather than relying on data gathered from earlier study. They technically "own" the data. Primary research is conducted primarily to solve a specific problem that necessitates in-depth investigation.

There are two types of research: 

Primary Research

Secondary Research

Businesses or organisations can do primary research themselves or hire a third party to do it on their behalf. One significant advantage of primary research is that it is "targeted," meaning that it is centered on a single topic or problem and all efforts are geared at obtaining relevant answers.

In Cynthia Jones's case, collecting data via a survey she administered herself is an example of primary research as she is collecting data directly from her classmates.

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The 2nd option 5.2880× [tex]10^{2}[/tex] calories is the correct answer.

There are different forms of energy on earth. The sun is considered the elemental form of energy on earth. In physics, energy is considered a quantitative property that can be transferred from an object to perform work. Hence, we can define energy as the strength to do any kind of physical activity.

According to the laws of conservation of energy, “energy can neither be created nor destroyed but can only be converted from one form to another”. The SI unit of energy is Joule.

Energy =2.2125 kJ

 Energy =2212.5 J (1 kJ =1000 J)

using 1 calorie = 4.184 J

 Energy =2212.5 J × (1 Cal / 4.184 J)

 Energy =528.800 calories =5.2880× [tex]10^{2}[/tex] calories.

Out of the available options, 2nd and 3rd have the same value. But the given energy has 4 significant figures after the decimal then answer should also have 4 significant figures.

Therefore, 2nd option 5.2880× [tex]10^{2}[/tex] calories is the correct answer.

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Complete question: the amount of energy required to heat water for 10 minutes shower (50 gallons0 is 2.2125kj. how many calories is that? Report the answer in scientific notation.

(1) 5.2880

(2) 5.2880×[tex]10^2[/tex] calories

(3) 5.288×[tex]10^2[/tex] calories

(4) 9.2571×[tex]10^{3}[/tex]

Answer:

2488.46 ft³

Step-by-step explanation:

the composite solid consists of;

cone and cylinder

volume of a cone=⅓πrh

volume of a cylinder=πr²h

then sum up the volume

⅓×3.142×8×9= 75.408 ft³

3.142×8×8×12=2413.056

2413.056+75.408=

2488.46 ft³

Answer: $0.75 per bar

Step-by-step explanation: To find the unit price for this, we need to either divide the bars by money or set up a proportion. So, 9 ÷ 12 = 0.75. The proportion would look like this:

[tex]\frac{9}{12} = \frac{x}{1}[/tex]

You'd cross multiply the 9 * 1 to get 9 then divde by 12. Either way, we should have gotten $0.75. To check if we are right, we multiply the unit price times the total amount of that item. So, 0.75 * 12 = 9, which makes this statement true. I hope this helped!

Answer:

144 ft

Step-by-step explanation:

Put in '3' where 't' is and compute

Height = -16(3^2) + 83(3) + 39 = 144 ft

Each single entertainment segment is 4.5 minutes.

Out of the 20 minute show there are two blocks of time that are ads. The ads are each 13/4 minutes long.

13/4 = 13 ÷ 4 = 3.25

minutes.

Let's take away the time used for ads from the 20 minute total.

20 - 3.25 - 3.25

= 13.5

Without ads the show's actual runtime is 13.5 minutes.

Now we'll divide that 13.5 into three equal parts.

13.5 ÷ 3 = 4.5

Each of the three equal entertainment segments is 4.5 minutes long.

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Answer:

{a, b, c, d, e, f, g}

Step-by-step explanation:

B intersection C = (e) because that is the only variable they both share

Now A intersection (e) is just all different variables together.

So now we have 2 (e's) but they can just be written as one.

A sample size of 384 high school students would be needed to estimate the mean change in SAT score to within 2 points with 95% confidence.

To calculate the sample size needed to estimate the mean change in SAT score to within 2 points with 95% confidence, we need to use the formula for sample size calculation:

n = (z^2 * σ^2) / (E^2)

where n is the sample size, z is the confidence level, σ is the standard deviation, and E is the margin of error.

In this case, our confidence level is 95%, so z = 1.96. The standard deviation of the score increase is 50 points and the margin of error is 2 points. So, plugging these values into the equation, we get:

n = (1.96^2 * 50^2) / (2^2)

Solving, we get n = 384. Therefore, a sample size of 384 high school students would be needed to estimate the mean change in SAT score to within 2 points with 95% confidence.

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The sampling distribution of the A tile in this population is 0.04.

The sampling distribution is a probability distribution of an observed result from a sample that is used to draw inferences about a population. In the game of Scrabble, the sampling distribution is used to draw inferences about the population of 100 tiles. Specifically, the sampling distribution explains the likelihood of a certain tile being drawn. For example, if the population contains 4 A tiles and 96 other tiles, then the probability of drawing an A tile is 4/100 or 0.04. This probability is the sampling distribution of the A tile in the population of 100 tiles. The sampling distribution can also be represented by the formula P(X=x)=nx/n, where n is the total number of tiles and x is the number of tiles of a certain type. Therefore, in the example above, P(X=A)=4/100=0.04. Thus, the sampling distribution of the A tile in this population is 0.04.

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Answer:

6960

Step-by-step explanation:

The required, after 1 hour, 2 hours, or 3 hours, would still be 63 miles apart.

Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.

If Clare and her cousin are 63 miles apart at 0 hours, their distance apart does not change with time, unless they are moving towards or away from each other. The distance between two static points cannot be affected by the passing of time.

So, after 1 hour, 2 hours, or 3 hours, they would still be 63 miles apart.

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The graph of the function is added as an attachment

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

y = 5/2x - 1/2

The above equation is a linear equation

A linear equation is represented as

y = mx + c

Where

slope = m

y-intercept = c

This means that the slope is 5/2 and the intercept is -1/2

Next, we plot the graph of the equation

See attachment for the graph

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The slopes of the secant line corresponding to the given intervals of t is 132.1, 116.3, 91.4 and 44.2 steps per minute.

To find the slope of a secant line between two points, we need to divide the difference in the y-values (number of steps) by the difference in the x-values (time in minutes).

For the interval from t = 0 to t = 10 minutes:

y1 = 3,288 steps

y2 = 4,609 steps

x1 = 0 minutes

x2 = 10 minutes

The slope of the secant line is:

(y2 - y1) / (x2 - x1) = (4,609 - 3,288) / (10 - 0)

= 1,321 / 10

= 132.1 steps per minute

For the interval from t = 10 to t = 20 minutes:

y1 = 4,609 steps

y2 = 5,772 steps

x1 = 10 minutes

x2 = 20 minutes

The slope of the secant line is:

(y2 - y1) / (x2 - x1) = (5,772 - 4,609) / (20 - 10)

= 1,163 / 10

= 116.3 steps per minute

Similarly, for interval t = 20 to t = 30 minutes

Slope = (6,686 - 5,772)/ (30 - 20) = 91.4 steps per minute

for interval t = 30 to t = 40 minutes

Slope = (7,128 - 6,686)/ (40 - 30) = 44.2 steps per minute

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The current age of Elsie is six years.

An equation is a mathematical statement that shows that two expressions are equal. Equations are written with an equal sign (=) and can contain variables, numbers, and mathematical operations. The goal of solving an equation is to find the value(s) of the variable(s) that make the equation true.

Let Elsie's age be x;

Elsie's age five years ago = x - 5

Elsie's age in eight years time x + 8

From the statement in the question;

x - 5 = 1/2( x + 8)

2x - 10 =  x + 8

2x + x = 8 + 10

3x = 18

x = 6 years

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Answer:The answer to the first question is b = 3.

The answer to the second question is t = 8.

The answer to the third question is m = 2 and n = 7.

The answer to the fourth question is y = 84.

The answer to the fifth question is b = 5 and c = 3.

Step-by-step explanation:

The number of people that should be selected to guarantee that at least 6 were born on the same day are, 2190

The worst case scenario is one of the many possible cases where the desired outcome comes after every other probable outcome has already occurred. This case can be used to determine the number of turns with would require to make sure the desired outcome is achieved.

The number of people that will ensure at least 7 people have their birthday one single day of a non-leap year (365 days) can be determined by considering that in the number of people picked in each trial, no two people have their birthday on the same day.

According to this process, if we pick 365 people, each one is born on a different day.

We repeat this selection 6 times, and the worst-case scenario is that on each day of the year, there are 6 people who are born on that day. The total number of people selected are

365×6 = 2190.

Now, as we select one more person, the number of people born on a day for one of the days in the year will increase to 7.

Hence, the number of people that should be selected to guarantee that at least 6 were born on the same day are, 2190

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There is only 1 way to place the houses on the street.

If the contractor wishes to build 9 houses, each different in design, and there are 6 lots available on the street, there are 6 choose 9 (written as 6C9) ways to place these houses.

However, this number is not possible since 6C9 = 0,

which means there are no combinations of 6 elements taken 9 at a time.

A more appropriate calculation would be 6 choose 6 (written as 6C6), which represents the number of ways to place the 9 houses on the 6 available lots if each house must occupy a lot.

In this case, 6C6 = 1,

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The different text structures are discussed below.

Given is the excerpt from Leviathan by Scott Westerfeld.

Since the excerpt is not given, we will have a brief idea about the given text structures.

Description-Explanation

A description text structure shows mental images of the details of an event, person, place, or object. An explanation text structure shows a set of facts, which clarify the context, causes, and consequences of those facts.

Problem-Solution

A problem-solution text structure presents a problem, including why there is a problem, followed by one or more possible solutions.

Cause-Effect

A cause and effect text structure shows the connection between what has happened and its impact or result. Cause is what happened. Effect is the resulting action or consequence.

Sequence-Time

A sequence-time text structure describes or explains how things happen or work in chronological order.

Therefore, the different text structures are discussed above.

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Answer:all you do is multiply 26.99*1.42

this equals 38.33 dollars

35.50 is less than 38.33

thus, USA is cheaper than England.

Step-by-step explanation:

The volume of the remaining portion of the sphere is 2.096 cubic units.

Let's take the volume of the remaining portion of the sphere = V

The volume of the sphere = [tex]\frac{4}{3}[/tex] * π * [tex]r^3[/tex]

The volume of the sphere with radius 1  = 4/3 * π

The volume of the cylinder = π * [tex]r^2[/tex] * h

The volume of the cylinder with height 2 and radius 1 = π * [tex]r^2[/tex] * h = 2 * π.

The difference between the volume of the sphere and the cylinder is

V = 4/3 * π - 2 * π = 4/3 * π - 2 * π = 2/3 * π.

By taking π = 3.14

V = [tex]\frac{2}{3}[/tex] * 3.14

V= 2.096.

So, the volume of the remaining portion of the sphere is 2.096 cubic units.

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