a train leaved the station at 5=0 traveling at a constasnt speed the train travels 360 kilometer in 3 hours Write a function that relates the distance traveled d to the time t

The Population Changes table indicate the following percent of change of the three towns

Question 1: The percent of change for Centerville is about 29.6%

Question 2: The town with the greatest percent of change is Riverview

Question 3: The percent of change for Riverview is about 51%

A percent of change is the change in the value of a parameter, expressed as a percentage.

Question 1: The population Centerville in 2000 = 37,065

The population of Centerville in 2010 = 26,102

The percentage change can be found using the formula;

[tex]Percentage \ change=\dfrac{New \ value - Initial \ value}{Initial\ value} \times 100[/tex]

The percentage change for Centerville is therefore;

[tex]Percentage \ change=\dfrac{Population \ in \ 2010-Polulation \ in \ 2000}{Population \ in \ 2000} \times 100[/tex]

From which we get;

[tex]Percentage \ change \ for \ Centerville=\dfrac{26102-37065}{37065} \times 100 \approx -29.6\%[/tex]

Question 2:

The percent of change for the town of Lakeside is found as follows;

Percentage change = ((45,863 - 51,342)/(51,342)) × 100 ≈ -10.7%

The percent of change of the population of Riverview is found using the percentage change formula as follows;

Percentage change = ((63017 - 41726)/(41726)) × 100 = 51%

Therefore, the town that had the greatest percent of change is is Riverview

Question 3: The percent of change for Riverview is about 51%

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Answer:215.768

Step-by-step explanation:

Answer: about 216 liters

Step-by-step explanation:

The number in the middle is 15.

A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.

Given that, The ratio of three numbers 2:3:4. The greatest number is 10 more than the least number.

Let the numbers be 2x, 3x and 4x,

Since, the difference in greatest and smallest numbers is 10, then,

4x-2x = 10

2x = 10

x = 5

Therefore, the middle number is 3x5 = 15

Hence, The number in the middle is 15.

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Answer:

Step-by-step explanation: the answer is probably 50 because the bottom line is the same length as the other 50.

Answer: 45

(Read the explanation to make sure it is correct)

Step-by-step explanation:

Let's start with what we know. Since the sum of all angles in a triangle add up to 180, we can use that logic to find the last angle in the triangle. So far, we have:

85 + 50 + x = 180

We subtract 135 from both sides to get:

x = 45!

At the 24th House, they will first meet.

List the multiples to determine the LCM.

List the initial range of each number's multiples.

Search for multiples that appear on both lists. Write out additional multiples for each number if there aren't any common multiples in the lists.

Find the least quantity that appears on both lists.

The LCM is this number.

According to the given information

Each sixth residence is visited by one group.

The second group visits every eighth house.

So

We need to find the house number where both the groups will meet

For that

We must determine the LCM of 6 and 8.

LCM(6) = LCM(8) = 3*2*4 = 24.

At the 24th House, they will first meet.

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The answer is subtraction property.

Answer: Using proportions, it is found that of the remaining pins, 14 pins are green and 21 pins are yellow.

A proportion is a fraction of a total amount, and then operations such as multiplication are applied to find the equivalent amounts relative to the proportion.

In this problem, we have that:

3/7 of the x pins are green.

4/7 of the x pins are yellow.

With one less pin, 2/5 are green and 3/5 are yellow, hence:

3/7x - 1 = 2/5x.

Isolating for x and applying the least common multiple, we have that:

x = 35.

He has 35 pins remaining, hence:

2/5 x 35 = 14 pins are green.

3/5 x 35 = 21 pins are yellow.

What is the missing information?

The complete problem is:

Yaqub has a bag only containing green and yellow pins. 3/7 of the pins are green. He picks out a green pin from his bag and gives it to his sister.

2/5 of the remaining pins in his bag are green.

How many of the remaining pins in his bag are green and how many are yellow?

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Step-by-step explanation:

4

divide 16 by 4, which equals 4

Answer:

4 goes into 16 4 times

Step-by-step explanation:

4 x 4=16

Hope this helps!

Answer:

A0=3kg

t1/2=67y

λ=ln2/t1/2

λ=0.6931/67

λ=0.0103447761-> 0.0103

Final Amount=Aoe^-λ×t

Final Amount=A0e^-0.0103447761×t

You can put the time that you want to find how much of the material has been left after a certain amount of time

as an example

if t=143years

Final Amount=3×e^-0.0103447761×143

Final Amount=3×e^−1.479302982

Final Amount=0.6833892338

A0 is the amount of material that we have before it goes into radioactive decay

The slope of the line that passes through (0, 5) and (8, 2) is -3/8

From the question, the points are given as

(0, 5) and (8, 2)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (0, 5) and (8, 2)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 5) and (8, 2)

Substitute the known values in the above equation

So, we have the following equation

Slope = (2 - 5)/(8 - 0)

Evaluate

Slope = -3/8

Hence, the slope of the line is -3/8

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The relation between curl vector and rotations is v = wdj

A vector field is a vector field's curl. The tendency of particles at point P to spin about the axis that faces the direction of the curl at P is measured by the curl of a vector field at P. If and only if its curl is zero, a vector field with a simply linked domain is considered conservative.

Let v represent the particle's velocity as a vector.

vector v=ui+vj+wk

curl v =

curl v  = [tex]\left[\begin{array}{ccc}i&j&k\\d/dx&d/dy&d/dz\\u&v&w\end{array}\right][/tex]

= (dw/dy - dv/dz )i - (dw/dx - du/dz)j +  (dv/dx - du/dy )k

Now by comparing with rotational matrix ,

We know that w = rotational matrix

[tex]w_{x}[/tex] = 1/2 (dw/dy - dv/dz )

[tex]w_{y}[/tex] = 1/2 (dw/dx - du/dz)

[tex]w_{z}[/tex] = 1/2  (dv/dx - du/dy )

w = [tex]w_{x} i +w_{y} j + w_{z} k[/tex]

w =  1/2[ (dw/dy - dv/dz )i + (dw/dx - du/dz)j + (dv/dx - du/dy )k]

w = 1/2 curl v , rotation = 1/2 curl v

let B be a rigid rotating about z axis

w = w.k

tangential speed =wk *di

v = wdj

curl of v=  [tex]\left[\begin{array}{ccc}i&j&k\\d/dx&d/dy&d/dz\\0&w_{x} &0\end{array}\right][/tex]

v = wdj ,

The relation between curl vector and rotations is v = wdj

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The equation of line for Pilar's rock climbing is given by y = -8x + 242 and the slope of the equation is m = -8

Connor's equation of line is y = -10x + 200 and slope m = -10

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the values of x be set x = { 1 , 2 , 3 }

Let the values of y be set y = { 234 , 226 , 218 }

Now , the equation of line for Connor's rock climbing is given by the formula y - y₁ = m ( x - x₁ )

And , the rate of change is given by the slope of the line

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 234 - 226 ) / ( 1 - 2 )

Slope m = -8

So , the rate of change is m = -8 feet per minute

Now , the equation of line for Pilar's rock climbing is

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 234 = -8 ( x - 1 )

y - 234 = -8x + 8

Adding 234 on both sides of the equation , we get

y = -8x + 242

So , the equation of line is y = -8x + 242

Now , when initial value , x = 0

y = -8 ( 0 ) + 242

y = 242 feet

Now , Connor's rock climbing is 10 feet per minute descending down

So , the slope Connor's equation is m = -10

And , the equation of line is y = -10x + 200

Hence ,

The equation of line for Pilar's rock climbing is given by y = -8x + 242

The equation of line for Connor's rock climbing is y = -10x + 200

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A. The meters that Gianna walk each hour is 5760 meters.

B. The kilometers that Gianna walk each hour is 5.760 kilometers.

The distance can be found by illustrating it as an expression. Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

There are 1000 meters in 1 kilometer

3600 seconds = 1 hour

Gianna's average walking rate is 1.6 meters per second. The distance in an hour will be:

= 1.6 × 3600

= 5760. meters.

The kilometers that Gianna walk each hour will be:

= 5760 meters / 1000

= 5.76 km

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The algebraic expression known as a trinomial contains three terms then the trinomials exists 3y + 5y² + y and [tex]$$x^4[/tex] + x² + 1.

Three non-zero terms make up a trinomial, which is an algebraic expression. The algebraic expression known as a trinomial contains three terms. An mathematical equation called a trinomial has three terms with on-zero coefficients, each separated by a + or - sign. It is a trinomial if three monomials are divided by addition or subtraction.

When a polynomial has three terms, it is referred to as a trinomial. Its general expression is ax² + bx + c, where a and b are coefficients and c is a constant. In order to factor trinomials, you must follow these three easy steps: Calculate the values of b (middle term) and c. (last term).

A. 8x  

Not a trinomial because, it contains only one term.

B. 3y +5y² + y

A trinomial because, it contains three terms.

C. 6x²

Not a trinomial because, it contains only one term.

D. [tex]x^{4}[/tex] + x² +1

A trinomial because, it contains three terms.

E. x² + 3

Not a trinomial because, it contains two terms only.

F. x¹¹

Not a trinomial because, it contains only one term.

Therefore, the correct answer is

B. 3y + 5y² + y and D. [tex]$$x^4[/tex] + x² + 1

The complete question is:

Which of the following are trinomials?

A. 8x

B. 3y + 5y² + y

C. 6x²

D. [tex]$$x^4[/tex] + x² + 1

E. x² + 3

F. [tex]$$x^{11[/tex]

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By solving a linear equation, it can be calculated that-

799 participants were successful

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, a linear equation needs to be solved.

Number of men = 1945

Number of women = 2849

Total number of participants = 1945 + 2849 = 4794

Let the number of participants who were successful be x

Number of men who were not successful = 5x

Total number of participants = 5x + x = 6x

By the problem,

The linear equation is

6x = 4794

x = [tex]\frac{4794}{6}[/tex]

x = 799

799 participants were successful

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Answer: The temperature was -21.75 after 5.5 hours passed.

Step-by-step explanation:

-2.5 starting degrees,

-3.5*5.5 = -19.25

-19.25 + the original -2.5 = -21.75

Answer:

true

Step-by-step explanation:

Answer:

true.

Step-by-step explanation:

5 miles is the distance a cyclist travels in 20 minutes, then 0.25 miles does the cyclist travel in 1 minutes.

A mile was equivalent to 1,000 Roman strides, with a stride being equal to two paces. The term "mile" is derived from the Latin "mille passus," which means "one thousand paces." The English Parliament established the Mile at eight furlongs (one furlong is 660 feet) in 1592. 5,280 feet, 1,760 yards, or around 1,609 meters make up a mile. On July 1, 1959, an international agreement established the mile's precise measurement at 1609.344 metres. Currently, the mile is the only unit of measurement used in the US and UK.

So, a mile is one of many different distance units.

Given that,

In 20 minutes a cyclist travels distance of 5 miles

So, in 1 minutes cyclist travels distance of [(5/20) × 1] miles

                                                                     = 0.25 miles

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The congruent reason for the triangles is (b) HL theorem

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

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

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Answer: D

Step-by-step explanation: I had this same question before

In the first problem, we calculated margin error =0.011, the 2nd problem we got population mean = 20.784 0r 19.216. the last problem true average age = 25.58 or 24.42

the margin of error indicates the differences between true result and estimated result.

The population means refers the average value of whole population where sample means indicate the average value of randomly selected samples only.

Given, size of population, n= 1936

random size of population, p = 121

probability 0.95 that means 95% confidence interval.

now margin error of sample mean is calculated by the following formula

Margin of error, ME= Z*×[√{p^(1-p^)/n}]

         where, p^ is proportion of population and p^= p/n

                            z* is the critical value of 95% confidence interval

                        p^ =p/n= 121/1936 =0.0625

                       z*= 1.96

      hence, ME= 0.011

In the next problem, size of random sample, n= 144

 sample mean, x⁻ = 20

population standard deviation, б = 4.8

confidence interval = 95.44% is equal to 95%

critical value z* =1.96

we need to estimate the population  mean,μ by the following formula

   μ = x⁻ ± z*(σ/√n)

        =20±1.96 (4.8/√144)

hence population mean is 20.784 or 19.216

in the last samples, true average ages can be calculated by the formula

 true average age = average age ±z*(σ/√n)

given, standard deviation σ = 2

  critical value for 98% confidence interval =2.33

  size of sample, n= 64

average age =25

  hence true average age = 25.58 or 24.42

hence, margin error is 0.011, population mean = 20. 784 or 19.216 and true average age = 25.58 or 24.42

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By using remainder theorem , value of P(1) = (-1)

P(1) = 1 + 3 + 4 - 9

P(1) = (-1)

Remainder Theorem is an approach of Euclidean division of polynomials. According to this theorem, if we divide a polynomial P(x) by a factor ( x – a); that isn’t essentially an element of the polynomial; you will find a smaller polynomial along with a remainder. This remainder that has been obtained is actually a value of P(x) at x = a, specifically P(a)

For finding the value of P(1) we have to put the value of 1 on the place of x, then we can get  P(1) = (-1)

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Answer:

D an even or odd sum from rolling two dice

what is uniform probability with three examples?

Uniform probability is a type of probability distribution in which all outcomes have the same probability of occurring. This means that all outcomes have an equal chance of being selected, and no one outcome is more likely to occur than any other. For example, if you were to roll a die, each of the six outcomes (1, 2, 3, 4, 5, 6) would have an equal probability of occurring. Here are three examples of uniform probability:

1. Tossing a coin: When a coin is tossed, the probability of it landing on either heads or tails is 50%. This is because both outcomes have an equal chance of occurring, making it a uniform probability.

2. Rolling a dice: When a dice is rolled, the probability of it landing on any of the six numbers (1, 2, 3, 4, 5, 6) is equal, at 16.67%. This is because all outcomes have an equal chance of occurring, making it a uniform probability.

3. Drawing a card from a deck: When a card is drawn from a deck, the probability of it being any of the 52 cards (13 of each suit) is equal, at 1.92%. This is because all outcomes have an equal chance of occurring, making it a uniform probability.

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Answer:

End Balance: $5,160.00

Total Interest: $2,160.00

Step-by-step explanation:

Total Interest =$3000 × 2% × 3 × 12

=$2,160.00

End Balance =$3000 + $2,160.00

=$5,160.00

Answer:

can we get the options

Step-by-step explanation:

Answer: Just look at how far each point is from the x=-3 line and then count to the left of the line how far away it is on the same y-cord and that is the point.

so poin U is 2 away from the x=-3 line so stay at the y line of 4 and then count to the left of the line x=-3 two and you get the point at (-5,4)

Step-by-step explanation:

Answer:

-2x² - 10xy + 2y²

Step-by-step explanation:

4x² - 9xy - 4y² - 6x² - xy + 6y² =

= 4x² - 6x² - 9xy - xy - 4y² + 6y²

= -2x² - 10xy + 2y²