The graph shows the distance (x) traveled by an aircraft traveling at constant velocity in corresponding time intervals (t). What is the form of the graph, and what is the approximate distance traveled by the aircraft in 7.5 seconds?

Answer:

C.15.5r

Step-by-step explanation:

Answer:

13.5r

Step-by-step explanation:

Just took it

The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

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Answer:3h^2 + 7g^4 + 5f^2 - 4h - 4g^4

Step-by-step explanation:To simplify the expression 2h+3h^2−4g^4+5f^2+11g^4−4h+f^2, we can follow these steps:

Group together like terms:

2h + (-4h) = -2h

3h^2 + f^2 = 3h^2 + f^2

-4g^4 + 11g^4 = 7g^4

This gives us the expression: -2h + 3h^2 + 5f^2 + 7g^4

Combine the constants:

3h^2 + 5f^2 + 7g^4 = 3h^2 + f^2 + 7g^4

Combine the like terms:

-2h + 3h^2 + f^2 + 7g^4 = 3h^2 + f^2 + 7g^4 - 2h

So, the simplified expression is: 3h^2 + 7g^4 + 5f^2 - 4h

After simplifying, the expression we'll get,  2h+3h^2+7g^4+6f^2-4h.

To simplify these algebraic expressions, we need to group the like terms. Like terms can be defined as terms that contain the same variables raised to the same power. Only the numerical coefficients are different.

After grouping like terms, perform the required operations. Here we have two operations i.e addition and subtraction. So group the like terms which need to add and those which need to subtract.

For example, Here -4g^4+11g^4 are like terms and 5f^2+f^2 are like terms. So we'll subtract 4 from 11, we'll get 7 and the variable will remain the same that is g^4. Similarly, we'll add 5 and 1, we'll get 6 and the variable will remain the same that is f^2.

Other terms will remain as it is.

2h+3h^2+(-4g^4+11g^4)+(5f^2+f^2)-4h

2h+3h^2+7g^4+6f^2-4h

Therefore the answer is, 2h+3h^2+7g^4+6f^2-4h

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Answer:

Step-by-step explanation:

The translation is the difference between two corresponding points:

Correct option is C

∠8 and 115° are supplementary and sum to 180°

Answer:

1/2 cup of carrot juice for each cup of apple juice.

Step-by-step explanation:

The ratio of carrot juice to apple juice is 3:6

Also written as 1:2

1/2 cup of carrot juice per 1 cup of apple juice

Answer: Dog=$40 per a dog and $20 per a cat

Step-by-step explanation:

Let the dog be x and cat be y

x=2y

10x=20y

20y+16y=32y

720/32=20

2x20=40

x=40

y=20

Answer:

C. 500x + 0.6 = 600x + 0.5

Step-by-step explanation:

Answer:

Step-by-step explanation

Given

Total number of pages to complete the packet = 6400 pages

If each ream contains 500pages, then:

Total number of reams needed = Total pages/number of pages per ream

Total number of reams needed = 6400/500

Total number of reams needed = 12.8

Hence you will need about 13 reams for all the packets

Answer:

$26.23

Step-by-step explanation:

$4.61 times 3 equals $13.83

and $3.20 times 4 equals $12.8

Money paid by Park Jimin = $125

We need to find the tip , so,

→ 15% of the amount paid

→ $ 125 (15/100)

→ $ 18.75

Hence, the tip is of $ 18.75

Answer:

Jiminie paid 18.75

Step-by-step explanation:

To calculate the amount of interest charged on a loan of $3225 borrowed for 8 months at an interest rate of 6.438%, we can use the formula: Interest = Principal x Rate x Time.

In this case, the principal amount (P) is $3225, the interest rate (R) is 6.438% (expressed as a decimal, 0.06438), and the time period (T) is 8 months.

Using the formula, we can calculate the interest as follows:

Interest = $3225 x 0.06438 x (8/12)

= $3225 x 0.06438 x 0.6667

≈ $138.29

Therefore, the amount of interest that will be charged on the $3225 loan over 8 months at an interest rate of 6.438% is approximately $138.29.

It's important to note that this calculation assumes simple interest, where the interest is calculated only on the initial principal amount. If the loan involves compounding interest or other factors, the calculation may differ.

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Answer:

Roots of the equation are  (−3−√7) , (−3+√7)

Step-by-step explanation:

For solving a quadratic equation using completing the square method:

given equation:

y = x^2 - 6x +2

0 = x^2 - 6x + 2

0 = x^2 - 3^2 + 3^2 -6x +2

0 = (x-3)^2 -7

7 =  (x-3)^2

±\(\sqrt{7}\) = x-3

±\(\sqrt{7}\) + 3 = x

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Answer:

10%

Step-by-step explanation:

(517-470)/470x100

=10%

Find the difference after tax and divide by the original price and times 100%

The polynomial function of least degree that passes through the given points is f(x) =\(x^3 + 2x^2 - 3x\).

To determine the polynomial function of least degree that passes through the given points (-1, 4), (0, 0), (1, 1), and (4, 58), we can use the method of interpolation. In this case, since we have four points, we can construct a polynomial of degree at most three.

Let's denote the polynomial as f(x) = \(ax^3 + bx^2 + cx + d\), where a, b, c, and d are coefficients that need to be determined.

Substituting the x and y values of the given points into the polynomial, we can form a system of equations:

For (-1, 4):

4 =\(a(-1)^3 + b(-1)^2 + c(-1) + d\)

For (0, 0):

0 =\(a(0)^3 + b(0)^2 + c(0) + d\)

For (1, 1):

1 =\(a(1)^3 + b(1)^2 + c(1) + d\)

For (4, 58):

58 = \(a(4)^3 + b(4)^2 + c(4) + d\)

Simplifying these equations, we get:

-4a + b - c + d = 4 (Equation 1)

d = 0 (Equation 2)

a + b + c + d = 1 (Equation 3)

64a + 16b + 4c + d = 58 (Equation 4)

From Equation 2, we find that d = 0. Substituting this into Equation 1, we have -4a + b - c = 4.

Solving this system of linear equations, we find a = 1, b = 2, and c = -3.

Therefore, the polynomial function of least degree that passes through the given points is f(x) =\(x^3 + 2x^2 - 3x.\)

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2x + 3y = r

---Subtract 2x from both sides

3y = r - 2x

---Divide both sides by 3

y = (1/3)(r) - (2/3)(x)

Hope this helps!! :)

so the time needed is 3.1 years

Perpendicularity law

The standard form of the equation of f(x) is option a -x² - 6x + 7

Given,

The graph shows a downward open parabola.

The vertex points are:

(-3, 16), (-7, 0), (1, 0), (-6, 7), (0, 7)

Now,

We have to find the standard form of the function f(x):

As from the graph:

Parabola opens downward, so the function will be negative.

We have the options with:

a = -1, b = -6 and c = 7

Now,

Use x = -b/2a

x = 6/2 × -1 = 6/-2 = -3

Now,

f(x) = -x² - 6x + 7

f(-3) = -(-3)² - 6(-3) + 7

f(-3) = -9 + 18 + 7

f(-3) = 9 + 7

f(-3) = 16

That is, the points for the vertex in this equation is (-3, 16)

Then, the standard form of the equation of f(x) is option a -x² - 6x + 7

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Setting x1 to zero in the equation 2x1 + 1x2 = 30 results in the value of x2 being 30.

The given equation is 2x1 + 1x2 = 30, where x1 and x2 represent variables. To find the value of x2 when x1 is set to zero, we substitute x1 with zero in the equation.

By replacing x1 with zero, we have 2(0) + 1x2 = 30. Simplifying further, we get 0 + 1x2 = 30, which simplifies to x2 = 30.

When x1 is set to zero, the equation reduces to a simple linear equation of the form 1x2 = 30. Therefore, the value of x2 in this scenario is 30.

Setting x1 to zero effectively eliminates the contribution of x1 in the equation, allowing us to focus solely on the value of x2. In this case, when x1 is removed from the equation, x2 becomes the sole variable responsible for fulfilling the equation's requirement of equaling 30. Thus, x2 is determined to be 30.

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Answer:

---------------------------

Multiply the two numbers first:

Round the number to the first digit:

Write 80000000 as the product of a single digit and a power of 10:

Answer:

option b

Step-by-step explanation: i took this test and got 100

Answer:

2

Step-by-step explanation:

1 pizza slice and add another pizza slice :)

The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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The process capability, Cp is calculated by dividing the upper specification limit minus lower specification limit by 6 times the process standard deviation.

This is the formula for the process capability.

Cp = (USL - LSL) / (6 * Standard deviation)

Where, Cp is process capability USL is the Upper Specification Limit LSL is the Lower Specification Limit Standard deviation is the process standard deviation.

The extrudate is subsequently cut into individual parts, and the extruded parts have a critical cross-sectional dimension = 12.50 mm with standard deviation = 0.25 mm. The mean of this distribution is the center line of the control chart and the critical cross-sectional dimension 12.50 mm is the target or specification value.

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Answer:

B and E

Step-by-step explanation:

(26x+2)+2=2(x+3)+1 - solution = 1/8

2x+3(x+5)=5(x-3) - NO SOLUTION

4x+3=x+12 - solution = 3

4 - (2x + 5) = {(-4x - 2) - solution = -1/2

5(x + 4) - X= 4(x + 5) - 1​ - NO SOLUTION

The final solution of the given problem is X = 2.82, Y = 1.04 for an Optimal solution Value of -16.93.

Given the optimization problem in 2X2 – 14X + 2XY + Y2 – 18Y + 50s.t. X + 4Y ≤ 8, we have to find the minimum solution to the given problem.

Solution To find the solution to the given optimization problem, we need to use the Lagrange multiplier method. Using this method, we have the following system of equations: 2x - 14 + 2y = λ4y - λ = 0x + 4y ≤ 8Solving the above equations, we get the following solutions:x = 3, y = 1, λ = 6

The optimal solution is X = 3, Y = 1, for an optimal solution value of -17. If the right-hand side of the constraint is increased from 8 to 9, the objective function would change by -2.29. (Decrease by 2.29)Now, we have to resolve the problem with a new right-hand side of 9.

The new optimization problem will be in 2X2 – 14X + 2XY + Y2 – 18Y + 50s.t. X + 4Y ≤ 9

Using the same method as above, we have the following system of equations:2x - 14 + 2y = λ4y - λ = 0x + 4y ≤ 9Solving the above equations, we get the following solutions:x = 2.82, y = 1.04, λ = 6.07

The objective function value is -16.93 so the actual increase/decrease is only -0.07 rather than -2.29. Hence, the actual change is very different from the estimated change.

Therefore, the final solution of the given problem is X = 2.82, Y = 1.04 for an optimal solution value of -16.93.

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Answer:

22m - 5 I believe because I combined the like terms

Answer:

=98m−5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the expression for the situation

\(10.50 = 0.50 a + 3\)

The variable "a" represents the time in minutes for late pick ups.

The expression is similar to the equation of a straight line

\(y=mx+c\)    

when compared to the given expression

we can state that

y= 10.5 which is the outcome of the situation

m= gradient which is 0.5

a= independent variable which is the time in minutes

c= 3 which is the constant term

Answer:

a or number of minutes of pickups

Step-by-step explanation:

khan

21 inch²

we splitthe two shapes, find the areas by multiplying the two sides and we add both of the answers, 15+6

Answer:

2(3) + 2(6) = 6 + 12 = 18 square feet

To solve the problem w must know about the Associative property.

The associative property states that the addition of the sum of two numbers (a,b) and a third number(c) is equal to the addition of the sun of the last two numbers(b, c) and the first number(a).

The property that will allow Carmen to do this without changing the value of the expression is the Associative property.

Given to us

Now, using Associative property,

(6.21 + 0.93 ) + 0.07

= 6.21 + (0.93 + 0.07)

=6.21 + (0.93 + 0.07)

Hence, the property that will allow Carmen to do this without changing the value of the expression is the Associative property.

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