Combine like terms
5p + 11 + 8p-4

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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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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Answer: c

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

The statement that represents the ratio of cars to trains would be = 3 over 1. That is option C.

A ratio is defined as the expression that represents the comparison between two values.

The collection of vehicle models of Alex include the following:

The number of airplane = 8

The number of trains = 4

The number of cars = 12

Therefore, the ratio of cars to train = 12:4

This is further reduced to a simplest form;

= 12:4 ( divide through by 4)

= 3:1

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Answer: 0.0008

Please correct me if I'm wrong.

The equation of the perpendicular line is y = -4/3 x + 12.

The equation of the parallel line is y = 3/4 x + 2.

Perpendicular lines are two lines that cross one other and create a 90-degree angle.

Consider the line y= (3/4)x+6.

To find the equation of the line that is perpendicular to the line y = (3/4)x + 6 and passes through the point (-8, -4), we need to find the slope of the perpendicular line.

Since the slope of a line perpendicular to another line is the negative reciprocal of the original line.

The slope of the line y = (3/4)x + 6 is m = 3/4.

Therefore, the slope of the perpendicular line is -4/3.

Plugging in the values we have, we get:

y - (-4) = -4/3 (x - (-8))

Simplifying, we get:

y + 4 = -4/3 x + 8

y = -4/3 x + 12

So the equation of the perpendicular line is y = -4/3 x + 12.

To find the equation of the line that is parallel to the line y = (3/4)x + 6 and passes through the point (-8, -4), we need to use the same slope, m = 3/4, as the original line.

Using the point-slope form of a line, we get:

y - (-4) = 3/4 (x - (-8))

Simplifying, we get:

y + 4 = 3/4 x + 6

y = 3/4 x + 2

So the equation of the parallel line is y = 3/4 x + 2.

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Answer: Answer: 475

Because i divided 500 by 5% and it gives u 475.

The solution is, by force wind move the sail.

As the boat is sailing, the wind will be faster than the boat. This fast wind is obstructed by the sail. That is, the fast wind gets slowed down by the sail because the sail pushes the wind backwards which slows down the wind. This will make the wind push the boat forward thereby accelerating the boat.

here, we have,

Gravity and buoyancy are the two key forces that operate on a stationary sailboat. The power of the wind pulls on the sail in order for the boat to move which allows the boat to move. The powers are now unbalanced, which is apparent from the acceleration of the ships.

The boat accelerates until the forward portion of the force from the sails is matched by the drag from the water.

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[tex]x^{2}[/tex] +[tex]y^{2}[/tex] = 801 is the equation of the circle in standard notation.

The equation of a circle with center at the origin (0, 0) can be written as:

, where r is the radius of the circle.

Since the circle passes through the point (5, -8), we can substitute these values into the equation of the circle to find the radius:

[tex](5-0)^{2} (-8-0)^{2}= r^{2}[/tex]

25 + 64 = r^2

[tex]r^{2}[/tex]= 89

r = sqrt(89) = 3 sqrt(89)

So, the equation of the circle with center at the origin and passing through (5, -8) is:

(x - 0)^2 + (y - 0)^2 = (3 sqrt(89))^2

[tex]x^{2}[/tex] + [tex]y^{2}[/tex] = 9 * 89

[tex]x^{2}[/tex] + [tex]y^{2}[/tex] = 801

This is the equation of the circle in standard notation.

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The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral.

The trapezoidal rule is a strategy for approximating the definite integral in calculus. The trapezoidal rule works by computing the area of the region under the graph of the function f(x) that is approximated as a trapezoid. The trapezoidal rule is commonly used to calculate the area under curves. This is achievable if the overall area is divided into smaller trapezoids rather than rectangles. The Trapezoidal Rule integration determines the area by approximating the area under a function's graph as a trapezoid. The midway rule uses rectangular areas to approximate the definite integral, whereas the trapezoidal rule uses trapezoidal approximations to approximate the definite integral. Simpson's approach works by first approximating the original function with piecewise quadratic functions.

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Complete question:

The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral. True/False

The volume of the cube would be 5y√x cm^3.

A cube is a square shape, so both sides ( length and width) of a face would be the same.

Supposing that the considered cube has side length (also called edge length) of L units.

Then, its one side's area equals  L^2 sq. units (as each side is a square, so we used formula for area of a square).

We have to Find the length of the side by finding the square root of the area of the face:

Area = 75xy^2

Length = √75xy^2 =  y √5 x 5 x 3 x cm.

Volume is Length x Width X height.

Volume = 5y√x cm^3

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The value of {r} is 64 and the value θ is 30°.

A complex number is a number of the form (a + bi), where [a] and [b] are real numbers and [i] is equal to [tex]\sqrt{-1}[/tex] . The general form of the complex number representation is (a + ib). In this, [a] is called real part and [ib] is called imaginary part.

Given is the complex number -

z = 4√3 - 4i

We can write the value of {r} as -

r = (4√3)² + (- 4)²

r = 16 x 3 + 16

r = 64

θ = tan ⁻¹(4/4√3)

θ = tan ⁻¹(1/√3)

θ = 30°

Therefore, the value of {r} is 64 and the value θ is 30°.

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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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The probability of getting exactly two hearts from a well-shuffled standard deck of playing cards can be calculated as follows:Since there are 13 hearts in a standard deck of playing cards, the probability of getting a heart in one draw is 13/52

A heart card is one of the four suits in a standard deck of playing cards. The standard deck of playing cards has 52 cards, including 13 cards in each of the four suits: clubs, diamonds, spades, and hearts. The hearts suit is usually represented by a red heart symbol. Each suit has cards numbered from Ace to King.A standard deck of playing cards is a deck of playing cards that consists of 52 cards, including four suits: spades, hearts, diamonds, and clubs. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King. The cards in a standard deck are usually used for playing a variety of card games, such as poker, solitaire, bridge, blackjack, and many others. The standard deck of playing cards has been used for centuries and is still widely used for both casual and professional gaming.

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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 original fraction is -5. Note that this is a negative fraction, which may not be meaningful in certain contexts.

Let's call the original fraction "x".

From the first condition, we have:

x + 4 / x's denominator = 3/4

From the second condition, we have:

x / (x's denominator + 2) = 1/2

We can substitute x's denominator in the first equation with (x's denominator + 2) from the second equation:

x + 4 / (x's denominator + 2) = 3/4

Next, we can cross-multiply and solve for x:

4x + 16 = 3x's denominator + 6

x's denominator = 4x + 10

Substituting back into the second equation:

x / (4x + 10) = 1/2

Multiplying both sides by (4x + 10) to isolate x:

2x = 4x + 10

Solving for x:

-2x = 10

x = -5

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The vendor sold 172 sodas and 58 hotdogs at the hockey game.

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

let, the number of soda cans be 'x' and the number of hot dogs be 'y'.

So, From the given information x = 3y and the vendor sold a total of 232.

Therefore, x + y = 232.

3y + y = 232.

4y = 232.

y = 232/4.

y = 58.

So, He sold 58 hot dogs and 3×58 = 172 soda cans.

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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:

6960

Step-by-step explanation:

Answer:

equation A,C and E are true if w=100

The equation that can be used for Reagan to find d is  d0.25 + 34 = 55.

In mathematics, equations are mathematical expressions that relate variables using numbers, letters, and symbols to represent a situation.

Based on this, the correct equation would be:

d0.25 + 34 = 55

This can be solved as

d 0.25 = 55 -34

d 0.25 = 21

d= 21/0.5

d= 42

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Answer:

Step-by-step explanation:

is it possible to form a triangle with side lengths 3,3, and 4?

3 + 3 = 6 (greater then 4)

4 + 3 = 7 (greater then 3)

so, the answer is yes

in the picture your isosceles acute triangle

True statement about the kinetic energies between Daniel and Robert is that Daniel has more kinetic energy than Robert.

Kinetic energy will be greater if the speed and mass are large, otherwise the kinetic energy will be smaller if the speed and mass are small.

At the illustration, who has a faster speed is Daniel.

It is stated that the rowing device and its mass are the same. So a greater speed will also affect the kinetic energy which will also be greater. So it can be conclude that Daniel has more energy kinetic.

Your question is incomplete but most probably your full question was:

Daniel and Robert went rowing. While Robert was rowing at a speed of 8 km/h, Daniel was rowing at a speed of 10 km/h in the opposite direction. If the masses of the boats and their rowers are equal, which of the following is a true statement about their kinetic energies?

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Answer:

To find the solution of a linear system, we need to find the values of x and y that satisfy both equations. One method to solve a system of linear equations is substitution. We can use the first equation to find the value of y in terms of x, and substitute it into the second equation.

y = 1/2x + 1

y = 3/2x + 4

We substitute the first equation into the second equation:

3/2x + 4 = 1/2x + 1

Now we simplify:

2x = 3

x = 3/2

Finally, we substitute x = 3/2 into either equation to find y:

y = 1/2 * 3/2 + 1 = 2

So, the solution of the system is (3/2, 2). Out of the given options, only (3/2, 7/4) has the same values of x and y.

Therefore, the answer is (C) (3/2, 7/4).

Answer: A

If you plug in -3 into X on both equations you'd get -1/2, thus showing that (-3, -1/2) is a solution to both

Answer:

the length of each side will b s.

The distance of the run is 11.67 miles.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Speed of first jogger = 5 mph

Speed of second jogger = 4 mph

Let d be the distance in miles of the run.

Time taken by first jogger be t hours.

Time taken by second jogger = t + (35 minutes) = t + (7/12) hours

Speed = Distance / Time

5 = d / t and 4 = d / (t + 7/12)

d = 5t and d = 4 (t + 7/12)

5t = 4 (t + 7/12)

5t = 4t + 7/3

t = 7/3 hours

d = 5t = 11.67 miles.

Hence the distance ran by both joggers is 11.67 miles.

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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°

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:

{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.

Each sedan can seat 2 passengers per type of taxi seat and each minivan can seat 2 passengers per type of taxi seat.

Total no. of sedans requested by the first group = 1

Total no. of minivans requested by the first group = 2

Total no. of people that can be seated = 13

Total no. of sedans requested by the second group = 3

Total no. of minivans requested by the second group = 2

Total no. of people that can be seated = 19

Now, the total no. of people for each type of taxi can seat = 13 passengers / 3 taxis.

By rounding up to the nearest value,  4 passengers per taxi.

No. of sedan seats = No. of passengers of a minivan.

By implementing division,

So, the total no. of passengers for each type of taxi can seat = 4/2 = 2 passengers.

Therefore, each sedan can seat 2 passengers per type of taxi and each minivan can seat 2 passengers per type of taxi.

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