If 4x + 8 = 28, then x = 5. choose inverse

The function F(x)=0.2F(x)=0.2 is not an exponential decay function. It is a constant function where the output value is always equal to 0.2, regardless of the input value xx.

An exponential decay function is typically in the form f(x)=a⋅bxf(x)=a⋅bx, where aa and bb are constants and bb is a value between 0 and 1. As xx increases, the exponential decay function decreases exponentially.

For example, an exponential decay function could be f(x)=0.2⋅(0.5)xf(x)=0.2⋅(0.5)x, where the base 0.50.5 represents the decay factor. As xx increases, the value of the function decreases rapidly.

In summary, an exponential decay function follows the pattern of decreasing values as xx increases, while the function F(x)=0.2F(x)=0.2 represents a constant value regardless of the input xx.

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The expected values of the raffle ticket for you are given as follows:

For the PTO, the expected values are given as follows:

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

For you, the distribution is given as follows:

Hence the expected value for one ticket is given as follows:

E(X) = 62/280 - 4 x 279/280

E(X) = -$3.76.

For twelve tickets, the expected value is given as follows:

12 x -3.76 = -$45.12.

For the PTO, we use the inverse signals, as the distribution is the inverse, that is:

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Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

Answer:

He will have 11/32 of an ounce for each of the two rings.

Step-by-step explanation:

He starts with 7/8 of an ounce.

He gives 3/16 of an ounce to Julie.

7/8 - 3/16 = 14/16 - 3/16 = 11/16

He now has 11/16 of an ounce left.

Now he divides 11/16 of an ounce in half.

(11/16) / 2 = 11/16 * 1/2 = 11/32

He will have 11/32 of an ounce for each of the two rings.

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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Using technology,  the difference between the arithmetic average ROR and the weighted average ROR is 0.52%

The Arithmetic Mean will be called the Simple Arithmetic Mean when it is calculated as the quotient between the sum of all the different related values ​​and the number of observations involved in this sum.

Given An investment portfolio

Since arithmetic average ROR:

The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments arithmetic average:

ROR = (2.1%+ 4.4%+ 7.8% + 0.5%)/4

arithmetic average ROR=6.20%

total amount invested=$3200+$1750+$1235+$2,300

total amount invested=$8,485

weighted average:

ROR = (3200/8485 * 2.1%+ 1750/8485 * 4.4%+ 1235/8485 *7.8% + 2300/8485 *0.5%)

weighted average:

ROR=5.68%

difference=6.20%-5.68%

difference=0.52%

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Answer: it’s 1.1%

Step-by-step explanation: just got it right on the test

The function g(3) has its value to be  9 if g(x) = 2x + 3

From the question, the definition of the function is given as

g(x) = 2x + 3

The function to calculate is given as

g(3)

The above means that

We calculate the equation g(x) when x = 3

So, we have the following representation

Calculate g(x) when x = 3

Substitute 3 for x in g(x) = 2x + 3

So, we have the following representation

g(3) = 2 * 3 + 3

Evaluate the products in the equation

g(3) = 6 + 3

Evaluate the sum

g(3) = 9

Hence, the value of the function is 9

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The value of x is 1.75 and y is 5. The solution is obtained using properties of congruent triangles.

What is a congruent triangle?

Two triangles that are congruent will have precisely the same three sides and three angles.

The dimensions of the triangles' sides and angles determine whether two or more triangles are congruent. A triangle's size is determined by its three sides, and its shape by its three angles. Pairs of corresponding sides and corresponding angles in two triangles are said to be equal if they are congruent. They share a similar size and shape. In triangles, there are numerous congruence conditions.

The triangles are congruent by SAS congruency because

AC = CD (Given)

∠ACB = ∠DCE ( Vertically opposite angles)

BC = CE  (Given)

Thus, Triangle ABC ≅ Triangle DEC

Since, the triangles are congruent, therefore

⇒AC = CD

⇒4y-6 = 2x+6   ...(1)

Also, BC = CE

⇒3y+1 = 4x

⇒(3y+1)/4 = x    ...(2)

Now, substituting the value of x in (1), we get,

⇒4y-6 = 2(3y+1)/4+(6)

⇒4y-6 = (6y+2 +24)/4

⇒16y-24 = 6y+2 +24

⇒10y = 50

⇒y = 5

Now putting the value of y in (2), we get

⇒(3(2)+1)/4 = x

⇒7/4 = x

⇒ x = 1.75

Hence, the value of x is 1.75 and y is 5.

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Answer:  h^-1(-4)= -2

Step-by-step explanation:

(1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.

Given are the polynomials,

1) x² - 2 x - 8

Factors = (x+2)(x-4)

2) x² + 2 x - 8

Factors = (x-2)(x+4)

3) x²-2x-4 = There will be no integral root.

4) x²+2x-4 = There will be no integral root.

Hence the (1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.

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Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

Answer:

Step-by-step explanation:

y=-6

y=-10

y=-2

The algebraic expression : (332 x 4) ÷ {410/(4/21) + 2 - 995} is equivalent to 1.15.

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the algebraic expression as -

(332 x 4) ÷ {410/(4/21) + 2 - 995}

The given algebraic expression is -

(332 x 4) ÷ {410/(4/21) + 2 - 995}

1328 ÷ {410/(4/21) + 2 - 995}

1328 ÷ {2152.5 + 2 - 995}

1328 ÷ {1159.5}

1.15

Therefore, the algebraic expression : (332 x 4) ÷ {410/(4/21) + 2 - 995} is equivalent to 1.15.

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Answer:x-(2 7/8)=1/2

Step-by-step explanation:

\(56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2\)

Answer:

C. 2 1/10

Step-by-step explanation:

15 7/10-13 3/5= 15 7/10 - 13 6/10=

2 1/10

The equation of the line is y = 2/3x + 1

The graph represents the given parameter

From the graph, we have the following points that can be used in our computation:

(x, y) = (0, 1) and (3, 3)

The equation of the line is then calculated using the following equation

y = (y₂ - y₁)/(x₂ - x₁) * (x - x₁) + y₁

Where

(x, y) = (0, 1) and (3, 3)

Substitute the known values in the above equation, so, we have the following representation

y = (3 - 1)/(3 - 0) * (x - 0) + 1

Evaluate

y = 2/3 (x - 0) + 1

So, we have

y = 2/3x + 1

Hence, the line equation is y = 2/3x + 1

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Answer:

a plane is formed by two rays with the same end point

Using a system of equations, it is found that Ajay is 25 years old today.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Wale was twice as old as Ajay 10 years back, hence:

\(x - 10 = 2(y - 10)\)

\(x - 10 = 2y - 20\)

\(x = 2y - 10\)

Wale will be 40 years old in 10 years, hence:

\(x + 10 = 40\)

\(x = 40\)

Then, Ajay's present age is found as follows.

\(2y = x + 10\)

\(2y = 40 + 10\)

\(y = \frac{50}{2}\)

\(y = 25\)

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Based on the system of equations, it is found that Ajay is 25 years old today.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

Based on the given information, we can say

Let Wale's age be x

Let Ajay's age be y

Ten years ago,

Wale = x - 10

Ajay = y - 10

If wale was twice as old as Ajay 10 years back, then;

x - 10 = 2(y - 10)

Since Wale will be 40 years old in 10 years, then;

x + 10 = 40

x = 40 - 10

x = 30

Recall that x - 10 = 2(y - 10)

30 - 10 = 2(y - 10)

20 = 2(y-10)

y = 20

Hence Ajay will be 20 years old today

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The line of the best fit that models the data is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The graph

To draw a line to model the data is to draw the line of best fit

A good line of best fit would have equal number of points on either sides

To plot the graph, we draw a line that divides the points on the graph evenly

This line when drawn on the scattered points divided the points approximately evenly

Hence, the line of the model is attached

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Answer: The Answer Should Be 10! Hoped This Help! Thx For Da Points :)!!!

Step-by-step explanation: the number 125 is 100% - because it's the output value of the task. 2. We assume, that x is the value we are looking for. 3. If 125 is 100%, so we can write it down as 125=100%. 4. We know, that x is 8% of the output value, so we can write it down as x=8%. 5. Now we have two simple equations:1) 125=100%2) x=8%where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:125/x=100%/8%6. Now we just have to solve the simple equation, and we will get the solution we are looking for.7. Solution for what is 8% of 125125/x=100/8(125/x)*x=(100/8)*x       - we multiply both sides of the equation by x125=12.5*x       - we divide both sides of the equation by (12.5) to get x125/12.5=x 10=x x=10now we have: 8% of 125=10

Answer:

events at A and B are independent because P(A)(B)≠P(A)

Answer:

-20r + 40

Step-by-step explanation:

-10(2r - 4)

-20r +40

The measure of the angle x is 30 degree if the triangle is an equilateral triangle.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have a circle in which a triangle is formed.

Here is the length of the triangle is same, means it is an equilateral triangle.

Each angle in equilateral triangle = 60 degree

The radius and the one tangent, making an angle of 90 degree

Taking bigger triangle:

Total sum of angles in triangle = 180 degree

x = 180 – 90 -60

x = 30 degree

Thus, the measure of the angle x is 30 degree if the triangle is an equilateral triangle.

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Answer:

  A

Step-by-step explanation:

The side lengths of a 30°-60°-90° triangle have the ratios, shortest to longest, ...

  1 : √3 : 2

When we multiply these ratio values by 5, we find side lengths of ...

  5 : 5√3 : 10

will form a 30°-60°-90° triangle.

These values match the lengths shown in the attachment. (Choice A)

Answer:

Sure what do you need?

Step-by-step explanation:

An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Since Amy's rent is 60 percent of the budget for Rent, Utilities, and Food, she will have $853 to spend on entertainment each month.

The total budget for rent, utilities, and food for nine months is given as $12,798.

Using the mathematical operation of multiplication, the proportion that belongs to rent alone is $7,678.80, representing 60%.

This rental proportion is divided by 9 to determine the monthly budget for rent, which will then be spent on entertainment.

The total budget for rent, utilities, and food for nine months = $12,798

The percentage of the budget for rent = 60%

The amount for rent for nine months = $7,678.80 ($12,798 x 60%)

The monthly rent amount is $853.20 ($7,678.80/9)

Thus, we can conclude that Amy will spend $853 monthly on entertainment if she saves the rent budget.

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The percentage of the rent to the total rent, utilities, and food budget is 60%.

Answer:

D i think

Step-by-step explanation: