The table below shows that the number of miles driven by Parker is directly
proportional to the number of gallons he used.
Gallons Used Miles Driven
34
41
45
1305.6
1574.4
1728
How many miles can he travel on 44.2 gallons of gas?

The perimeter ratio of the figures is given as follows:

9:16.

Considering the side length ratio of a:b, the perimeter ratio has the proportion given as follows:

a:b.

This is because both the side lengths and the perimeter are measured in units, hence the perimeter ratio is the same as the side length ratio.

Considering that the area is measured in square units and the volume in cubic units, their ratios would be given as follows:

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the integral by substituting the limits of integration for x and y and integrating with respect to x first. We get: ∫∫ df(x,y)dxdy = ∫-2 to 2 x2(1x2-2x2)dx = ∫-2 to 2 x2(-x2)dx = ∫-2 to 2 -x4dx = [-x5/5]from -2 to 2 = -2^5/5 + 2^5/5 = 0

a. The region D in the x-y plane is illustrated in the figure below.

b. ∫∫ df(x,y)dxdy = ∫-2 to 2 ∫2x2 to 1x2 x2(y)dxdy = ∫-2 to 2 x2(1x2-2x2)dx = ∫-2 to 2 x2(-x2)dx = ∫-2 to 2 -x4dx = [-x5/5]from -2 to 2 = -2^5/5 + 2^5/5 = 0

a. The region D in the x-y plane is the area bounded by the two parabolas y= 2x2 and y= 1 x2. This can be seen in the sketch below.

b. To evaluate the integral ∫∫ df(x,y)dxdy, we need to evaluate the integral of the function f(x,y) = x2y over the region D. We can do this by setting up the integral as follows:

∫∫ df(x,y)dxdy = ∫-2 to 2 ∫2x2 to 1x2 x2(y)dxdy

Next, we can evaluate the integral by substituting the limits of integration for x and y and integrating with respect to x first. We get:

∫∫ df(x,y)dxdy = ∫-2 to 2 x2(1x2-2x2)dx = ∫-2 to 2 x2(-x2)dx = ∫-2 to 2 -x4dx = [-x5/5]from -2 to 2 = -2^5/5 + 2^5/5 = 0

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Step-by-step explanation:

to solve an equation with a variable we want to transform the equation, so that in the end we have the variable alone on one side of the equation, and everything else on the other side.

so, when we look at

(n + 8)/2 - 4 = 16

what blocks us from reading the value of n ?

several things on the left side.

I would start with the "- 4".

to get rid of that from the side of the variable we need to add 4. and to keep the equality true, we need to add this on both sides :

(n + 8)/2 - 4 + 4 = 16 + 4

and we get

(n + 8)/2 = 20

what blocks us now ?

I would say the fraction, this division by 2.

how do we get rid of that ?

by multiplying everything by 2 :

2×(n + 8)/2 = 2×20

and we get

n + 8 = 40

still, something is blocking us from reading the value of n : the "+ 8".

how do we get rid of that ?

by subtracting 8 from both sides :

n + 8 - 8 = 40 - 8

and we get

n = 32

that's it. we are finished. goal achieved.

By merging information from several sources, a pooled estimate of the population is utilised to gain a better picture of the population mean as a whole.

When a person or organisation needs to combine data from several sources to better understand a population, they utilise a pooled estimate of the population. This can be accomplished in a number of ways, such as by integrating data from several surveys, data from various time periods, or data from various geographical regions .A more complete and accurate view of the population can be acquired by combining the data from several sources. Because it enables a more precise assessment of a population's needs and traits, this is particularly helpful for making judgements about policy or resource distribution. The comparison of several populations or the analysis of changes across time can both be done using pooled estimates. This is necessary to comprehend population change and determine the most effective resource allocation.

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Answer:

2347

2347 * 2347 = 5508409

Step-by-step explanation:

Hope it helps! =D

Answer:

is 2

because it's below for and two is the closest answer to the function variable answer to this question that you have here

The value of this expression is 576/365

What is Expression?

A phrase, also known as an expression in some circumstances, is a group of words or a single word that functions as a grammatical unit. For instance, the English word "the very joyful squirrel" is a noun phrase which contains the adjective phrase "extremely happy". Phrases can be made up of a single word or a whole sentence.

(3x³y⁻²)² = 576/365

Given,

x = -2

y = 5

Applying property of exponents to simplify the expression.

Property: [tex](a^{b} )^{c}[/tex] =[tex]a^{bc}[/tex]

So, we have : (3x³y⁻²)²

= 3²x⁶y⁻⁴

= 9x⁶y⁻¹

Property : a⁻ᵇ

= 1/aᵇ

= 9x⁶ / y⁴

Now, plugging in values of x and y

= 9 (-2)⁶ / 5⁴

= 9*64/625

= 576 / 365

This phrase has a value of 576/365.

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The value of this expression is 576/365

What is Expression?

A phrase, also known as an expression in some circumstances, is a group of words or a single word that functions as a grammatical unit. For instance, the English word "the very joyful squirrel" is a noun phrase which contains the adjective phrase "extremely happy". Phrases can be made up of a single word or a whole sentence.

(3x³y⁻²)² = 576/365

Given,

x = -2

y = 5

Applying property of exponents to simplify the expression.

So, we have : (3x³y⁻²)²

= 3²x⁶y⁻⁴

= 9x⁶y⁻¹

Property : a⁻ᵇ

= 1/aᵇ

= 9x⁶ / y⁴

Now, plugging in values of x and y

= 9 (-2)⁶ / 5⁴

= 9*64/625

= 576 / 365

This phrase has a value of 576/365.

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The height of the tree is 6.77 meters.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are identical, their respective sides are equal in number and their corresponding angles are congruent.

Given that, the height of the person is 1.25 meters, the length of the tree's shadow is 24.65 meters, and the distance between the person and the tree is 20.1 meters.

Let the height of the tree be x.

Note that the scenario makes two similar triangles.

Since the ratio of the side lengths of similar triangles is proportional, it follows:

(24.65 - 20.1)/1.25 = 24.65/x

3.64 = 24.65/x

x = 24.65 / 3.64

x = 6.77

Hence, the height of the tree is 6.77 meters.

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If a pair of linear equations in two variables have no solution then the pair of lines are​ inconsistent or parallel lines.

Depending on the number of variables and type of equations there are 3 types of solutions to an equation.

1. Unique Solution (One solution):

When there is only one variable then the linear equation will have a Unique Solution or One solution. In the case of pair of linear equations, the linear equation will have a unique solution when the straight lines are intersected at a single point.

2. No solution:

When the given pair of linear equations is inconsistent equations the linear equation will have no solutions in common or we can say that the given lines are non-intersected lines. Usually, a pair of parallel lines will have no solutions.

3. Infinite Solutions (Many solutions):  

When the given lines are overlapped on each other or coincident with each other the given lines will have Infinite Solutions. These intersected lines.    

Therefore,

If a pair of linear equations in two variables have no solution then the pair of lines are​ inconsistent or parallel lines.  

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Calculating the mean amount of time that these students spent on the internet yesterday it is not appropriate because sample is a convenience sample to determine condition for population mean.

In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode.

The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organized in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.

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Given quadratic equation has same solution set as -x=x²+12x+36 i.e. C.

A second-degree algebraic equation in x is a quadratic equation. Ax2 + bx + c = 0 is the quadratic equation in its standard form, with a and b acting as coefficients, x acting as the variable, and c acting as the constant term.

The coefficient of x2 must not be zero (a 0) for an equation to qualify as a quadratic equation. The x2 term comes first, followed by the x term, and finally the constant term when stating a quadratic equation in standard form. Instead of being written as fractions or decimals, the numerical values a, b, and c are frequently expressed as integral values.

Now,

Given equation is √-x=x+6

-x = (x+6)²

-x = x² +36+12x

x² + 11x + 36 = 0

As it is same quadratic equation as given in option C.

Hence,

         Given quadratic equation has same solution set as

-x = x² + 12x + 36.

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Answer:

$119.25.

Step-by-step explanation:

Let's call the deposit amount "D".

Starting balance: $654.98

Check amount: -$321.45

Deposit: +D

Ending balance: $452.78

So, we can set up an equation:

$654.98 - $321.45 + D = $452.78

Solving for D:

$654.98 - $321.45 + D = $452.78

$333.53 + D = $452.78

D = $119.25

So the deposit amount was $119.25.

Answer:

m = 5/4

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Pick 2 points (0, -3) (4,2)

We see the y increase by 5 and the x increase by 4, so the slope is

m = 5/4

The generatrix of a cylinder is intersected by a plane parallel to its axis to determine the shape of the hole in the cylinder, while the generatrix of a cone is intersected by a plane via its vertex.

We select cutting planes that intersect both surfaces along their generatrixes in order to construct the intersection points of a cone and a cylinder. A cylinder's generatrix is intersected by a plane parallel to its axis, and a cone's generatrix is intersected by a plane via its vertex.

Since the line passing through the cone's vertex is parallel to the axis of the cylinder, the system of planes that intersect both surfaces in their generatrixes is a pencil-shaped arrangement of planes.

The cone and the cylinder are both intersected by every plane of that pencil in two different generatrixes.

In contrast to the vertices of the surfaces, the junction curve has four points that are intersections of these four lines.

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Answer:

-10+4=-x

-x_=-6_

x=6

if you don't understand

negative x over negative x and negative x over 6 the negative will cancle the negative you will get x to be 6

An inequality that best represents this situation is: x - 1300 > 2500.

a) Let x be the amount of money Sara has in savings. We know that the amount she wants to spend on vacation is $1300, so we have x - 1300 > 2500.

b) To solve for x, we can add 1300 to both sides: x > 3800.

c) The value of x in this situation represents the amount of money Sara has in savings.

The inequality x > 3800 means that Sara must have more than $3800 in savings in order to spend $1300 on a vacation while following the financial planner's suggestion to spend less than $2500.

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The value that 50% of the data, is 50 the median.

An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.

Given Data: 42, 44, 50, 54, and 56

The median can be referred to as the second quartile (Q2) or 50th percentile of the data set.

The median value shows that 50% of the data set is above it while 50% is below it also.

So, 50 is the median, and this means that 50% of the data lie above 50.

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Answer: c

Step-by-step explanation:

quite easy because y=mx+b (y=3x-1)

the -1 is the y-intercept. (Where the line meets the y line. c is the only one where the y-intercept is -1

A function which has the same horizontal asymptote as the function graphed above include the following: A. f(x) = 4^{x + 2} - 3.

In Mathematics, a horizontal asymptote simply refers to a horizontal line (y = b) where the graph of a function approaches the line as the input values (domain or independent value) approach negative infinity (-∞) to positive infinity (∞).

In this context, the line passing through the ordered pair (0, 3) on the graph of this exponential growth function represents a horizontal asymptote and it has an equation of y = 3, as shown in the image attached below.

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The solution is :

1. How much change did he get from 1500-pesos bill.

2. 2 t-shirt 249.95 pesos pants for 675.95 pesos .

3. 2 t-shirt and pair of pants.

4. 249.95 pesos + 675.95 pesos  and subtraction 1500-pesos bill.

5. Seventy-four and twenty cents.

6. 74.20 pesos.

Arithmetic is one of the oldest and elementary branches of mathematics, originating from the Greek word ‘Arithmos’, which means ‘number’. Arithmetic involves the study of numbers, especially the properties of traditional operations, such as: Addition, Subtraction, Multiplication, Division.

The arithmetic operators based on these operations are ‘+’, ‘-’, ‘×’ and ‘÷’.

as given, Bobby bought:

2 shirts bought at 249.95 each

Pair of pants for 675.95

So,

How much change did he get from his 1500 peso bill ? (correction : 1500 peso)

2 shirts for 249.95 each.

249.95 * 2 = 499.9

Total spent on the shirts : 499.9

A pair of pants bought for: 675.95

Total money spent = 675.95 + 499.9 = 1175.85

In order to determine the final solution we have to subtract the total amount from 1500.

1500 - 1175.85 =324.15

He will getting a change of 324. 15 pesos .

Therefore, The solution is :

1. How much change did he get from 1500-pesos bill.

2. 2 t-shirt 249.95 pesos pants for 675.95 pesos .

3. 2 t-shirt and pair of pants.

4. 249.95 pesos + 675.95 pesos  and subtraction 1500-pesos bill.

5. Seventy-four and twenty cents.

6. 74.20 pesos.

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Bob received 824.15 pesos as change from his 1 000-peso bill.

What is asked?

The question asks for the change Bob received from his 1 000-peso bill.

What are given?

The given information is that Bob bought 2 t-shirts at 249.95 pesos each and a pair of pants for 675.95.

What is/are the hidden question?

The hidden question is: How much did Bob spend in total?

What operations will you use to solve the problem?

To solve the problem, you need to find the total amount that Bob spent, and then subtract it from his 1 000-peso bill to get his change.

What is the number sentence?

The number sentence would be: change = 1 000 pesos - (2 * 249.95 pesos + 675.95 pesos)

What is the answer?

To find the answer, you can calculate the expression in the number sentence:

change = 1 000 pesos - (2 * 249.95 pesos + 675.95 pesos)

change = 1 000 pesos - (499.90 pesos + 675.95 pesos)

change = 1 000 pesos - 1175.85 pesos

change = 824.15 pesos

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Answer:

Step-by-step explanation:

The rational functions with the given asymptotes are presented as follows:

1. y = 1/(x³ + x² - 6x).

2. y = 1.5x²/(x² + 0.5x - 0.5).

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

For item 1, due to the vertical asymptotes, the denominator is given as follows:

x(x + 3)(x - 2) = x(x² + x - 6) = x³ + x² - 6x.

As the horizontal asymptote is of zero, the numerator has a lower degree than the denominator, hence it can be constant, and the function is given as follows:

y = 1/(x³ + x² - 6x).

For item 2, the denominator is given as follows:

(x + 1)(x - 0.5) = x² + 0.5x - 0.5.

Due to the horizontal asymptote of 3/2, the degree of the numerator must be the same as the denomiator, with a coefficient 3/2 that of the denominator, hence the numerator is given as follows:

3x²/2 = 1.5x².

Meaning that the function is:

y = 1.5x²/(x² + 0.5x - 0.5).

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The expected acceleration of an object is based on the acceleration due to gravity, which is a constant value of 9.8 m/s2. To calculate the expected acceleration, we use the equation: Expected acceleration = (5/7)gsin(θ), where θ is the angle at which the object is moving.

This equation takes into account the angle of the object and uses the acceleration due to gravity to calculate the expected acceleration. In this equation, the acceleration due to gravity is multiplied by a fraction, which is determined by the angle at which the object is moving. Therefore, the higher the angle at which the object is moving, the greater the expected acceleration.

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The joint probabilities are: P(A and B) = 0.36, P(A and C) = 0.1, P(AC and B) = 0.07.

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. An event with probability 0 cannot occur, and an event with probability 1 is certain to occur. The probability of an event A is usually written as P(A) and is calculated as the number of favorable outcomes divided by the total number of possible outcomes in the sample space. For example, if a fair six-sided die is rolled, the sample space is the set of all possible outcomes (1, 2, 3, 4, 5, 6), and the probability of rolling a 4 is 1/6. Probability is used in many fields to make predictions, draw inferences, and make decisions under uncertainty.

We can use the formula for conditional probability to calculate the joint probabilities:

P(A and B) = P(B | A) * P(A) = .4 * .9 = .36

P(A and C) = P(A) * P(C | A) = .9 * P(C) / P(A) = .9 * .1 / .9 = .1

P(AC and B) = P(B | AC) * P(AC) = .7 * .1 = .07

So, the joint probabilities are:

P(A and B) = .36

P(A and C) = .1

P(AC and B) = .07

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When 1/3 is the dividend and 3 is the divisor, the quotient is 1/12.

Dividend/Divisor is the quotient.

Divide the dividend by the divisor to obtain the quotient.

Here, Dividend = 1/4

Divisor = 3

Divisor/Dividend =(1/4)/3 = 1/12

So, when 1/3 is the dividend and 3 is the divisor, the quotient is 1/12.

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The general solution for d^2y/dt^2 - 2dy/dt - 15y = e^4t is a sum of a homogeneous solution (c1e^(r1t) + c2e^(r2t)) and a particular solution (Ate^4t).

What is differentiation ?

Differentiation is a method of finding the derivative of a function. Differentiation is a process, in Maths, where we find the instantaneous rate of change in function based on one of its variables.

The general solution for the second-order homogeneous linear ordinary differential equation d^2y/dt^2 - 2dy/dt - 15y = 0 can be found using the characteristic equation:

r^2 - 2r - 15 = 0

The characteristic equation has two roots, which are the eigenvalues of the corresponding homogeneous linear system. Let r1 and r2 be the roots of the characteristic equation, then the general solution for the homogeneous equation is:

y(t) = c1e^(r1t) + c2e^(r2t)

where c1 and c2 are arbitrary constants.

y(t) = c1e^(r1t) + c2e^(r2t) + Ate^4t

The general solution for d^2y/dt^2 - 2dy/dt - 15y = e^4t is a sum of a homogeneous solution (c1e^(r1t) + c2e^(r2t)) and a particular solution (Ate^4t).

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The probability of an event is given by the number of favorable outcomes divided by the total number of possible outcomes.

In this case, the favorable outcome is that the customer had a high level of satisfaction and used the company more than five times per month. The total number of possible outcomes is the total number of customers in the study, which is 700.

Therefore, the desired probability can be calculated as:

P(High satisfaction and more than 5 times per month) = 70 / 700

And the answer is P(High satisfaction and more than 5 times per month) = 70 / 700 = 1/10.

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Answer:

see below

Step-by-step explanation:

area of a door = length * width = 7* width = 7x-14

so width = ( 7x-14 ) / 7 =  x-2

when x=6 width = 4

area = 4*7 = 28

perimeter = (4+7)*2 = 22