Luna drove a tractor across her cornfield. The field was 480 meters across, and she drove at a constant velocity of 20 meters per minute across the field. How long did it take for Luna to drive one-quarter of the distance across the field? Write your answer as a whole number.​

An interval variable is a type of quantitative variable, where the difference between two values of the variable is meaningful and the values can be ordered.

Examples of interval variables include temperature (in Celsius or Fahrenheit), time (in seconds, minutes, hours, etc.), and dates. You can calculate the difference in temperature between two points, the length of time between two events, or the number of days between two dates. For example, let's say that the temperature outside is 25°C at noon and 29°C at 4 pm. The interval variable is the temperature, and the difference between the two temperatures is 4°C (29°C - 25°C = 4°C). Another example is the length of time between two events. Let's say that Event A began at 1 pm and Event B began at 2 pm. The interval variable is the length of time between the two events and the difference between the two times is 1 hour (2 pm - 1 pm = 1 hour). Finally, let's say that Date A is January 1, 2020 and Date B is January 10, 2020. The interval variable is the number of days between the two dates, and the difference between the two dates is 9 days (January 10,)An interval variable is a type of quantitative variable, where the difference between two values of the variable is meaningful and the values can be ordered.

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One liter is equal to 33.814 ounces, so 2.7 liters is equal to 90.772 ounces. This can be calculated using the following formula, which is multiplying 2.7 by 33.814: 2.7 x 33.814 = 90.772.

To calculate the number of ounces in a given amount of liters, this formula can be used. This can be calculated using the following formula, which is multiplying 2.7 by 33.814: 2.7 x 33.814 = 90.772.This is useful for quickly and accurately converting between liters and ounces, which can come in handy when measuring liquids or other substances. For example, if a recipe calls for 2.7 liters of a certain ingredient, you can easily convert that to ounces using the formula.

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A research question is an inquiry that a study or research project aims to resolve. Quantitative and Qualitative research questions are the components of questions.

Descriptive research questions are used to determine how the population of the study will react to one or more variables or to describe the factors that the study will evaluate. These questions typically begin with "what."

Comparative research questions aim to identify differences between two or more groups for an outcome variable. These inquiries could possibly be the cause. A comparison between two groups, one in which a certain variable is present and the other in which it is not, may be made, for instance.

Relationship research themes aim to find patterns and interactions between two or more variables. The phrases "association" and "trends," as well as dependent and independent variables, are commonly used in these enquiries.

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Answer:

Step-by-step explanation:

1200

Answer:

$960

Step-by-step explanation:

September = 1000

20% * 1000 = 200

1000+200 = 1200

October = 1200

20% * 1200 = 240

1200-240 = 960

November = 960

The value of x is 9.4 in the equation 8x−14+2x+10=90.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 8x−14+2x+10=90

Eight times of x minus forteen plus two times of x plus ten equal to ninety.

In the given equation x is the variable

Plus and minus are the operators.

Add the like terms

Ten times of x minus four equal to ninety

10x-4=90

Add 4 on both sides to cancel four on the left hand side.

10x-4+4=90+4

10x=94

Divide both sides by 10

x=94/10

Divide numerator and denominator by 10.

x=9.4

Hence, the value of x is 9.4 in the equation 8x−14+2x+10=90.

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The complete question

Solve the equation 8x−14+2x+10=90

Answer: 27

Step-by-step explanation: in order to find out the LCM, you have to list out the multiples of 9 ( 9: 9, 18, 27, 36, etc.) and 27 ( 27: 27, 54, etc). Then you find the least common multiple which in this case is 27.

The expression to represent how much more Elena spent is 4.1 + p.

Two friends shop for fresh fruit. Elena buys a watermelon for ​$8.55 and 5 pounds of cherries. Taniya buys a pineapple for ​$4.45 and 4 pounds of cherries.

Therefore, the expression to represent how much more Elena spent can be represented as follows:

hence,

p = price in​ dollars, per pound of cherries.

Hence,

amount Elena spent more = 8.55 + 5p - (4.45 + 4p)

amount Elena spent more = 8.55 + 5p - 4.45 - 4p

amount Elena spent more = 8.55 - 4.45 + 5p - 4p

Therefore,

amount Elena spent more = 4.1 + p

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Answer:

5=0.40x+3.50

He can get 3 extra ounces

Step-by-step explanation:

5.00-3.50=1.50 so an extra $1.50 to spend on extra ounces

1.50/0.40=3

0.40(3)+3.50= $4.70

So the most ounces he can get is 3

He will have $0.30 left

60 s²t² is the lowest common multiple of 3st, 4s^2, 5t^2

LCM is known as the lowest common multiple. This is the smallest number that is a multiple of both of two numbers is called the least common multiple.

Given the terms 3st, 4s^2, 5t^2

Find the factors

3st = 3 * s * t

4s² = 4 * s * s

5t² = 5 * t * t

The LCM is calculated as thus:

LCM = (3*4*5) * s²t²

LCM = 60 s²t²

Hence the LCM of the terms 3st, 4s^2, 5t^2 is 60 s²t²

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To increase the number of interviews, it should be recommended that 0 undergraduate students, 16 graduate students, and 4 faculty members be hired. There can be a maximum of 644 interviews by statistics

In 1947, George Dantzig invented an algorithm that allows us to take a system of equations and find its maximum or minimum values that make the equations most efficient. This method is used in linear programming to determine optimization.

If n = the number of interviews, then let x = the number of undergraduate students hired, y = the number of graduate students employed, z = the number of faculty members hired.

Maximization of n = 30x + 32y + 33z

The limitations are: x + y + z 20; 100x + 150y + 200z 3200; and 0;

The answer is 644 because x = 0, y = 16, z = 4.

To increase the number of interviews, it should be recommended that 0 undergraduate students, 16 graduate students, and 4 faculty members be hired. There can be a maximum of 644 interviews by statistics given.

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Option A is correct.

Selecting eight members randomly and recording whether each member is wearing a blue shirt.

A binomial experiment is defined as a statistical experiment which consists of n repeated trials. Only two possible outcomes are possible in each trial- either its a success or a failure. Here the probability of success remains the same on every trial.

Here, in 8 members the person wearing blue will be a success others will be a failure outcome.

Answer:

a

Step-by-step explanation:

Is this a right triangle: C. Yes, because 6² + 8² = 10².

In Euclidean geometry, the Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than or equal (≥) to the third side of the triangle.

Mathematically, the Triangle Inequality Theorem is represented by this mathematical expression:

b - c < n < b + c

Where:

n, b, and c represent the side lengths of this triangle.

By applying Pythagorean theorem, the possible side lengths of the triangle's third side is given by:

10² = 6² + 8²

100 = 36 + 64

100 = 100 (True).

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Answer: 15

Step-by-step explanation:

Base x Height = Area

The amount of money Company A charge more for x miles,  35 - 0.05x dollars

In mathematics, subtraction is an operation which means taking away a few portions of the group or few things from a whole part.

For example, if we take 4 pencils out of 10 then remaining pencils are 6

so this process is called subtraction.

Let's call the number of miles the family wants to travel "x".

The cost for Company A is $30.50 plus 8 cents per mile, so the total cost for Company A is,

30.50 + 0.08x.

The cost for Company B is $65.50 plus 13 cents per mile, so the total cost for Company B is,

65.50 + 0.13x.

To find out how much more Company A charges, we can subtract the cost for Company B from the cost for Company A:

= (30.50 + 0.08x) - (65.50 + 0.13x)

= 35 - 0.05x

So, Company A charges 35 - 0.05x dollars more than Company B for x miles.

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The formulas for the rigid transformations of the figures are listed below:

Case 1: (x, y) → (x - 10, y + 9)

Case 2: (x, y) → (- y, x)

Case 3: (x, y) → (- x, y)

Case 4: (x, y) → (- y, x)

Case 5: (x, y) → (x, - y)

Case 6: (x, y) → (x, y + 10)

In this question we find six cases of rigid transformations applied on figures. The most common rigid transformations are listed below:

Then, by direct inspection, we derive the following rigid transformations:

Case 1 (Translation)

(x, y) → (x - 10, y + 9)

Case 2 (Rotation)

(x, y) → (x · cos (- 270°) - y · sin (- 270°), x · sin (- 270°) + y · cos (- 270°))

(x, y) → (- y, x)

Case 3 (Reflection about y-axis)

(x, y) → (- x, y)

Case 4 (Rotation)

(x, y) → (x · cos 90° - y · sin 90°, x · sin 90° + y · cos 90°)

(x, y) → (- y, x)

Case 5 (Reflection about x-axis)

(x, y) → (x, - y)

Case 6 (Translation)

(x, y) → (x, y + 10)

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Answer:

4x+2

Step-by-step explanation:

Add common numbers together.

3x + x = 4x

Therefore, the answer is 4x+2.

Hope this helps ^_^

Answer:

8 books

Step-by-step explanation:

On a box plot, there is a line in the middle that says where the median is. In this situation, the median is 8.

The coordinates of the top right corner of the screen (1280, 720).

The coordinates usually consist of two or three values, depending on whether you're working with a two-dimensional or three-dimensional system.

To answer your question, we need to know which coordinate system we're using. In this case, we're assuming that we're dealing with a two-dimensional system, which means that we only need to specify two coordinates: the x-coordinate and the y-coordinate.

The top right corner of the screen is located at a specific position that can be determined by measuring the distance from the origin (usually the bottom left corner) to that point. If we assume that the origin is located at (0, 0), then we need to find the x and y values that correspond to the top right corner.

The x-coordinate of the top right corner depends on the width of the screen, which can vary depending on the device you're using. For example, if the width of the screen is 1280 pixels, then the x-coordinate of the top right corner would be 1280.

The y-coordinate of the top right corner also depends on the height of the screen, which again can vary depending on the device. If the height of the screen is 720 pixels, then the y-coordinate of the top right corner would be 720.

Therefore, the resulting coordinates would be (1280, 720).

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Jimmy’s total income is $91838.61

You should understand that total income' refers to the sum of certain incomes (in cash and, in some circumstances, in kind) of the statistical unit during a specified reference period

The given parameters that will help us to determine the income are

Therefore Jimmy's total income is the sum of all the incomes

$(75,937.84 + 839.40 + 14,937.92 + 123.45)

Total income = $91838.61

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(a) The function in standard form is f(x) = -2x² + 4x + 5.

(b) The height of the ball when it is thrown is 5 feet.

(c) The horizontal distance from the point where the ball is thrown to the highest point that the ball reaches is 1 foot.

To write the function in standard form, we need to expand the square and simplify the expression:

f(x) = -2(x - 1)² + 7

f(x) = -2(x² - 2x + 1) + 7

f(x) = -2x² + 4x - 2 + 7

f(x) = -2x² + 4x + 5

B. The height of the ball when it is thrown is the y-intercept of the function, which occurs when x = 0. So we can find the height by plugging x = 0 into the function:

f(0) = -2(0)² + 4(0) + 5

f(0) = 5

C. The highest point that the ball reaches is the vertex of the parabola, which occurs at x = 1 (from the given vertex form). To find the height of this point, we can plug x = 1 into the vertex form of the function:

f(1) = -2(1 - 1)² + 7

f(1) = -2(0) + 7

f(1) = 7

Therefore, the highest point that the ball reaches is 7 feet above the ground. The horizontal distance from the point where the ball is thrown to this point is the distance between the point (0,5) and the vertex (1,7), which is 1 unit.

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Answer:

There is exactly one solution: (3, 1)

Step-by-step explanation:

To graph these equations, you need to change them to slope intercept form:

x + y = 4 in slope intercept form is y = -x + 4 (subtract x frok both sides).

x - y = 2 in slope intercept form is y = x - 2 (subtract x from both sides then divide both sides by -1)*.

Now, all you have to do is graph both and find the point they cross at (the solution) which is (3, 1).

* = y can never be negative, which is why you divide by a -1 after subtracting x.

Hope this helps!

The number of houses is there in the village will be 25.

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

In a village, the number of houses and the number of flats is in the ratio 7:4 the number of flats and the number of bungalows is in the ratio 8: There are 50 bungalows in the village.

Let 'x', 'y', and 'z' be the number of houses, flats, and bungalows, respectively. Then the equations are given as,

x / y = 7 / 4

y = (4/7)x                           ...1

y / z = 8 / 6

z = 6y / 8

z = 3x / 7                            ...2

x + y + z = 50                   ...3

From equations 1, 2, and 3, then we have

x + (4/7)x + (3/7)x = 50

7x + 4x + 3x = 350

14x = 350

x = 25

The number of houses is there in the village will be 25.

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A unit of measurement equal to one thousand meters is called a kilometer.

The prefix "kilo" means one thousand, so a kilometer is a unit of length in the metric system that is equal to 1000 meters. Kilometers are commonly used to measure longer distances, such as the distance between cities or countries, or the length of a marathon race. In contrast, smaller distances may be measured in meters, centimeters, or millimeters, which are all smaller units of length in the metric system.

a metric measurement of length that is equal to 1,760 yards or 5,280 feet. A thousandth of a liter is the same as a metric unit of capacity. a length measurement in meters that is one-thousandth of a meter. a time interval that is frequently used and equates to 60 seconds and 1/60 of an hour.

The complete question is:-

What word goes with a unit of measurement equal to one thousand meters?

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Answer:

x=17

Step-by-step explanation:

132 + (-30) = (6x+30) + (-30)

132 - 30 =6x + 30 - 30

102 =6x

6x/6 = 102/6

(This step has a picture)
x=17

Answer:

the value of b is 3.

Step-by-step explanation:

The vertex of the graph of a parabola in the form y = a(x - h)^2 + k is given by (h, k), where h is the x-coordinate of the vertex and k is the y-coordinate of the vertex.

So in this case, the vertex of the graph of y = -1(x - 2)^2 + 3 is (2, 3), and the value of b is 3.

Answer:

b=3

Step-by-step explanation:

[tex]y=a(x-h)^2+k\\y=-1(x-2)^2+3[/tex]

If we compare the vertex-form equation of a parabola to our given function, we can see the vertex is [tex](2,3)[/tex], which means that b=3.

Answer:

The Domain : {(−∞,∞), {x/x∈R} and Range : {(−∞,∞), {y/y∈R} of the function  f(x)=2x-5

What is a function?

A relation is a function if it has only One y-value for each x-value.

We have to find the domain and range of f(x)=2x-5

The domain of the expression is all real numbers except where the expression is undefined.

In this case, there is no real number that makes the expression undefined.

Interval Notation:(−∞,∞)

The range is the set of all valid y values.

Domain : {(−∞,∞), {x/x∈R}

Range : {(−∞,∞), {y/y∈R}

Hence, the Domain : {(−∞,∞), {x/x∈R} and Range : {(−∞,∞), {y/y∈R} of the function  f(x)=2x-5

Have a wonderful day! :-)

The slope of the function is equal to: C. 3.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (4 - 1)/(0 - (-1))

Slope, m = 3/4=1

Slope, m = 3.

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Answer:

Below

Step-by-step explanation:

y = mx = b    is slope intercept form  

m= slope   b = y-axis intercept   ..... sub in the values given

-2 = (-1)(5) + b      shows b = 4

y = -x + 3