i need help with this i will give 100 pt

The function rule of a table calculator, you need to examine the given input-output pairs in the table and look for patterns or relationships between the inputs and outputs.

The step-by-step process to determine the function rule:

Identify the pattern: Look for any consistent relationship between the input and output values. Consider how the output changes as the input changes.

Determine the type of relationship: Based on the pattern, determine the type of relationship between the input and output. It could be linear, quadratic, exponential, or some other mathematical relationship.

Write the general function rule: Once you determine the type of relationship, write a general function rule that expresses the output (y) in terms of the input (x) using appropriate mathematical operations and constants.

Test the function rule: Check if the function rule you derived matches the given input-output pairs in the table. Plug in the input values into the function rule and verify if the corresponding outputs match the given outputs in the table.

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The type of the function that is represented by 6y = 2(x - 5) is a linear function

Linear functions are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The equation of the function is given as

6y = 2(x - 5)

Divide both sides of the equation by 6

So, we have

y = 1/3(x - 5)

Open the bracket

y = 1/3x - 5/3

The form of the above equation is

y = mx + c

The equation represented by y = mx + c is a linear function

Hence, the type of the function that is represented by 6y = 2(x - 5) is a linear function

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Answer:

x = 61

Step-by-step explanation:

These 2 angles are supplementary which means they add up to 180:

2x - 6 + x + 3 = 180

3x - 3 = 180

3x = 183

x = 61

Answer:

depends on the value of N.

Step-by-step explanation:

There are an infinite number of possibilities for the value on N. In order if Find N you need to equal the equation to a value then it will be easier to solve.

Answer:

-20n

Step-by-step explanation:

All we have to do is multiply if Im reading it right its -5n times 4 so that equals -20n

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Answer:38

here is why

4 3/4= 4.75

4.75=38~ in pints

Answer:2

Step-by-step explanation:

1+1 es 2

Answer:

x = 4

Step-by-step explanation:

\(\sqrt{(x -4)(x - 4)\\}\)

x - 4 = 0

x = 4

the proceeds from the loan are $5,599.92.

the effective rate charged by the bank is approximately 25%.

To find the proceeds from the loan, we need to calculate the amount that Paul and Senoy Moede receive after the bank deducts the discount.

The formula to calculate the proceeds is:

Proceeds = Principal - Discount

Where:

Principal = $7,200 (the amount of the note)

Discount = Principal * Discount Rate * Time

Given:

Discount Rate = 25%

Time = 320 days

First, let's calculate the discount:

Discount = $7,200 * 0.25 * (320/360)

        = $7,200 * 0.25 * 0.8889

        = $1,600.08

Now, let's find the proceeds:

Proceeds = $7,200 - $1,600.08

        = $5,599.92

Therefore, the proceeds from the loan are $5,599.92.

To find the effective rate charged by the bank, we can use the following formula:

Effective Rate = (Discount / Principal) * (360 / Time)

Given:

Discount = $1,600.08

Principal = $7,200

Time = 320 days

Effective Rate = ($1,600.08 / $7,200) * (360 / 320)

             = 0.22223 * 1.125

             = 0.24999875

To convert this into a percentage, we multiply by 100:

Effective Rate = 0.24999875 * 100

             = 24.999875

Rounding to the nearest percent, the effective rate charged by the bank is approximately 25%.

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Answer:

Step-by-step explanation:

\(-2 (1-4x) = 3x + 8\\\\Expand\: -2(1-4x) \: :-2+8x\\-2+8x=3x+8\\\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\-2+8x+2=3x+8+2\\\\Simplify\\8x=3x+10\\\\\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}\\8x-3x=3x+10-3x\\\\Simplify\\5x =10\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{10}{5}\\\\Simplify\\\\x =2\)

Answer:

2

Step-by-step explanation:

-2 (1-4x) = 3x + 8

-2 × 1 - -2 × 4x = 3x + 8

-2 + 8x = 3x + 8

8x - 3x = 8 + 2

5x = 10

x = 10/5

x = 2

hope this helps you!

\( \frac{ {8}^{4} }{8 {}^{2} } \times 8 {}^{3} \)

\(8 {}^{2} \times 8 {}^{3} \)

\(8 {}^{5} \)

The number of full truckloads is 95 and the number of cars in the last truck is 10.

In order to determine how many trucks would be needed to bring the new cars, divide the total number of the new cars by the capacity of the truck.

Number of trucks needed = total number of cars / capacity of a truck

= 1150 / 12

= 95.83

This means that there would be 95 full truckloads and 1 truck would not be full.

Number of cars in the last truck = total number of cars to be transported - number of cars in the 95 trucks

1150 - (95 x 12)

1150 - 1140 = 10

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The independent variable for Scenario A is given as follows:

a. The employee benefits package.

In the case of a relation, we have that the independent and dependent variables are defined by the standard presented as follows:

In the context of this problem, we have that the input and the output of the relation are given as follows:

Hence the independent variable for Scenario A is given as follows:

a. The employee benefits package.

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Answer:

It has no value.

Step-by-step explanation:

Given that x is a continuous variable with the probability density function f(x) = c(10-x)^2 for 0 < x < 10, we need to find the value of c.

Step 1: Understand that for a probability density function, the total area under the curve must equal 1. Mathematically, this is expressed as:

∫[f(x)] dx = 1, with integration limits from 0 to 10.

Step 2: Substitute f(x) with the given function and integrate:

∫[c(10-x)^2] dx from 0 to 10 = 1

Step 3: Perform the integration:

c ∫[(10-x)^2] dx from 0 to 10 = 1

Step 4: Apply the power rule for integration:

c[(10-x)^3 / -3] from 0 to 10 = 1

Step 5: Substitute the integration limits:

c[(-1000)/-3 - (0)/-3] = 1

Step 6: Solve for c:

(1000/3)c = 1

c = 3/1000

c = 0.003

So the probability density function f(x) = 0.003(10-x)^2 for 0 < x < 10.

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Answer:

42.195 + 42.195 OR 42.195 X 2

= 84.39

Therefore, Joel ran 84.39 km altogether in two races

Hope it helps ;)

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The solution set of the given homogeneous system in parametric vector form is (x1,x2,x3)=(s,-2,-5)

Parametric vector form:

If there are m-free variables in the homogeneous equation, the solution set can be expressed as the span of m vectors:

x = s1v1 + s2v2 + ··· + sm vm. This is called a parametric equation or a parametric vector form of the solution.

A common parametric vector form uses the free variables as the parameters s1 through sm

Given is a system of equations

We are to solve them in parametric form.

x1 + 3x2 + x3 = 0 --------(1)

-4x1 + 9x2 + 2x3 = 0 ---------(2)

-3x2 - 6x3 = 0--------(3)

From equation(3)

-3x2=6x3

x2=-2x3

substitute in equation(1) and equation(2)

x1+3(-2x3)+x3=0

x1-6x3+x3=0

x1-5x3=0

x1=5x3

So the solution in parametric form is (x1,x2,x3) = (s,-2,5) for all real values.

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Answer:

-1 3/4

Step-by-step explanation:

Answer:

- 1 3/4

Step-by-step explanation:

The number of sides in a polygon is 9.

Given, a regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius and each of the central angles has a measure of 40°.We know that the sum of all the central angles of a polygon is 360°, so we can find the number of sides of a polygon as follows:Let the number of sides of a polygon be n.Measure of each central angle = 40°Sum of all the central angles = n × 40° = 360°So, n × 40° = 360°n = 360°/40°n = 9So, the polygon has 9 sides (nonagon).

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Answer:

1/3 × 6 = 2

Step-by-step explanation:

Probability of picking out a color is

23/138 + 23/138 = 46/138 = 23/69 = 1/3

Answer:

84 in²

Step-by-step explanation:

(15+6)0.5 * 8 = 21(0.5) * 8 = 10.5 * 8 = 84

Therefore, it will take approximately 13.7 years for the population to double.

a. To determine the growth rate, you need to calculate the percentage increase in population. The formula for growth rate is:

Growth Rate = (New Value - Old Value) / Old Value * 100

Using the given values, we have:

Growth Rate = (1577 - 1500) / 1500 * 100
Growth Rate = 77 / 1500 * 100
Growth Rate ≈ 5.13%

b. To write a general equation for the population, you can use the formula:

p(t) = p(0) * (1 + r/100)^t

where p(t) is the population at time t, p(0) is the initial population, r is the growth rate, and t is the number of years.

c. To estimate the population in 2010, we need to find the population at time t = 2010 - 2000 = 10 years. Using the general equation from part b, and substituting the given values:

p(10) = 1500 * (1 + 5.13/100)^10
p(10) ≈ 1500 * (1.0513)^10
p(10) ≈ 1500 * 1.6436
p(10) ≈ 2465.4

Therefore, the estimated population in 2010 is approximately 2465.

d. To find out how many years it will take for the population to double, we need to solve the equation:

2 * p(0) = p(0) * (1 + r/100)^t

Simplifying the equation, we have:

2 = (1 + r/100)^t

Taking the logarithm of both sides, we get:

log(2) = t * log(1 + r/100)

Finally, solving for t, we have:

t = log(2) / log(1 + r/100)

Substituting the growth rate from part a, we have:

t = log(2) / log(1 + 5.13/100)
t ≈ log(2) / log(1.0513)
t ≈ 13.7 years

Therefore, it will take approximately 13.7 years for the population to double.

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The probability of getting exactly 3 sixes using Normal approximation is 0.0022.

The probability of getting exactly 3 sixes using Poisson approximation is 0.0018

Let X = outcome of rolling a dice.

The probability of any of the 6 face occurring is, .

The random variable X follows a Binomial distribution with parameters n  and p.

It is provided that the die is rolled n = 72 times.

As the number of times the die is rolled is quite large the distribution of X can be approximated by the Normal distribution.

Conditions of Normal approximation are satisfied.

So the random variable X follows a Normal distribution with:

Mean = np = 12

Variance = np(1 - p) = 10

Compute the probability of getting exactly 3 sixes as follows:

P= 0.0022

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Answer:

The initial amount of money in the bank account is d dollars.

After spending $10, the amount of money left in the account is:

d - 10 dollars

According to the problem statement, the amount of money left in the account must be at least $31. Therefore, we have the inequality:

d - 10 ≥ 31

Simplifying this inequality by adding 10 to both sides, we get:

d ≥ 41

So the inequality that represents this situation is:

d ≥ 41.

Answer

The midpoint of AB is -4

The greatest possible number of intersection points for four circles of different sizes is 12.

The greatest possible number of intersection points of four circles of different sizes can be calculated by considering the maximum number of intersection points each pair of circles can have and then summing them up.

When two circles intersect, they can have a maximum of two intersection points. So, if we have four circles, we can find the maximum number of intersection points by considering each pair of circles separately.

For the first circle, it can intersect with the other three circles at most two times each, giving us a total of 2 * 3 = 6 intersection points.

For the second circle, it can intersect with the remaining two circles at most two times each, giving us a total of 2 * 2 = 4 intersection points.

The third circle can intersect with the last remaining circle at most two times, giving us a total of 2 * 1 = 2 intersection points.

Finally, the fourth circle doesn't have any other circle left to intersect with, so it doesn't contribute any additional intersection points.

Now, we can sum up the intersection points from each pair of circles: 6 + 4 + 2 + 0 = 12.

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The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

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Answer:

x = 32

<1 = 102 degrees

<2 = 78 degrees

Step-by-step explanation:

3x + 6 + 2x + 14 = 180

5x + 20 = 180

5x = 180 - 20

x = 160/5

x = 32

3(32) + 6 = 102 degrees

180 - 102 = 78 degrees