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Parkerrrrr don't come on my question if you are just going to report it

The value of the equation f ( x ) is

f ( x ) = x³ + x² - 8x - 12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = ( x + 2 )²( x -3 )   be equation (1)

Now , on simplifying the equation , we get

f ( x ) = ( x + 2 )²( x -3 )

f ( x ) = ( x² + 4x + 4 ) ( x - 3 )

Now , multiplying each term with ( x - 3 ) , we get

f ( x ) = ( x - 3 ) x² + ( x - 3 ) 4x + ( x - 3 ) 4

f ( x ) = x³ - 3x² + 4x² - 12x + 4x - 12

On simplifying the equation ,we get

f ( x ) = x³ + x² - 8x - 12

Now , the value of the equation f ( x ) = x³ + x² - 8x - 12

On graphing the equation , we get

The graph of the equation f ( x ) = x³ + x² - 8x - 12 is shown below

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Answer: $15

9 avocados = $15

Step-by-step explanation:

1 x 3 = 9

5 x 3 = 15

Our Data:

Avocados       Price (dollars)

3                      5

6                      10

9                      15

So, our answer is $15

Step-by-step explanation:

The definite integral of sin^5(x)dx from 0 to pi/2 can be evaluated using the method of substitution.

Let u = sin(x), then du = cos(x)dx

The integral becomes:

∫sin^5(x)dx = ∫u^5du from 0 to sin(π/2)

= (u^6)/6 evaluated at sin(π/2) and 0

= (sin^6(π/2))/6 - 0

= (1^6)/6

= 1/6

So, the definite integral of sin^5(x)dx from 0 to pi/2 is equal to 1/6.

The denominator of the function, n(x), is the place where vertical asymptotes can be located. If the numerator, t(x), is not zero for the same value of x, then the vertical asymptotes can be determined by solving the equation n(x) = 0 where n(x) is the denominator.

Despite not being a part of the function graph, a vertical asymptote is a vertical line that serves as a guide.

It happens at an x-value that is outside the function's domain, therefore the graph can never cross it.

1/x^2 -4

Domain of 1/x² - 4 :

Solution : x < -2 or  -2 < x < 2 or x > 2

Interval Notation ; ( -∝ , -2) ∪ (-2 ,2) ∪ (2 , ∝).

Range of 1 / x² - 4 :

Solution : f(x) ≤ - 1/4 or f(x) > 0

Interval Notation : ( -∝ , - 1/4) ∪ (0,∝)

Axis interception points of 1 / x² - 4 :

y Intercepts : (0 , - 1/4)

Asymptotes of  1 / x² - 4:

Verticals x = -2. x = 2,

Horizontal y = 0

Extreme Points of 1/x² - 4 :

Maximum (0, -1/4).

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Answer:

3) y=4

Step-by-step explanation:

Answer:

y=x

Step-by-step explanation:

bcoz in graph work its normally y=x

Answer:

B {-6, -3, 3, 11}

Step-by-step explanation:

Using the constant of proportionality the value of x when y is 72 is 9.

What is a COP?

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

If y varies directly as x, it means that y can be expressed as a constant multiple of x, i.e., y = kx, where k is the constant of proportionality.

To find k, we can use the given information that y = 48 when x = 6 -

y = kx

48 = k(6)

k = 8

Now that we know k, we can use it to find x when y = 72 -

y = kx

72 = 8x

x = 9

Therefore, when x = 72, the value of x = 9.

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Answer:

the simplest form of 1/9 is: 1/9

Step-by-step explanation:

1. A number that will divide evenly into both the numerator and denominator so it can be reduced. No such number exists for 1 and 9.

2. The numerator must be greater than the denominator, an improper fraction, so it can be converted to a mixed number. 1 is not greater than 9.

Answer:

Step-by-step explanation:

Answer:

======================

First let's recall the formulas for the volume of a cone and a cylinder.

Volume of a cone:

Volume of a cylinder:

We are given that the volume of the cone is 36π cubic units. Therefore:

Now, let's find the volume of a cylinder with the same radius and height. We will use the formula for the volume of a cylinder:

Since we know that (1/3)πr²h = 36π, we can multiply both sides of this equation by 3 to find the value of πr²h:

Therefore, the volume of a cylinder with the same radius and height as the given cone is 108π cubic units.

Therefore , the solution of the given problem of volume comes out to be cylinder's capacity is 108 cubic units

A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. These symbols for cubic dimensions are liter and in3. However, you must be aware of an object's volume in order to calculate its dimensions. It is standard practice to translate an object's weight to mass units like grams and kilograms.

Here,

The capacity of a cone is calculated as follows:

=> V_cone = (1/3) * r² * h

where h is the cone's height and r is the cone's radius at its base.

The cone's capacity is specified as 36 cubic units. The formula is as follows:

=> 36π = (1/3) * π * r² * h

If we simplify, we get:

=> r² * h = 108

The following is the algorithm for a cylinder's volume:

=> V_cylinder = π*r²*h.

Since the cylinder and cone have the same radius and height, we can amend the calculation for the cylinder's volume by adding r² * h = 108:

=> V_cylinder = r² * h * 108 * r² * h = 108

The cylinder's capacity is 108 cubic units because it has the same height and radius as the cone.

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Answer:

x=3

Step-by-step explanation:

3x=y y=9

fill y in with 9

3x=9

÷3  ÷3

x=3

Answer:

x = 3

Step-by-step explanation:

3x = y

y = 9

Put y as 9 into the first equation and solve for x.

3x = (9)

Divide both sides by 3.

x = 9/3

x = 3

Answer:

a. ordered pairs: {(-3, 3), (0, 0), (2, -2)}

Step-by-step explanation:

The correct option is: c. 33%. (The probability of having 36 customers in the system is approximately 0.00183%, which is approximately 0.033%, or 33%).

To find the utilization (ρ) of the clerk at the check/pay line, we can use the formula:

ρ = λ / μ

where:

ρ = Utilization

λ = Arrival rate (rate at which customers arrive at the line)

μ = Service rate (rate at which the clerk can handle customers)

Given in the problem:

Arrival rate (λ) = 30 customers per hour

Service rate (μ) = 35 customers per hour

Now, let's calculate the utilization (ρ):

ρ = 30 / 35 ≈ 0.8571

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

ρ ≈ 0.8571 * 100 ≈ 85.71%

Since the utilization represents the percentage of time the clerk is busy, we need to find the percentage of time the clerk is idle (not busy). This can be calculated by subtracting the utilization from 100%:

Idle time = 100% - Utilization

Idle time ≈ 100% - 85.71% ≈ 14.29%

Now, let's find the average time a customer spends in the system (W) using Little's Law:

W = L / λ

where:

W = Average time a customer spends in the system

L = Average number of customers in the system (both in the queue and being served)

λ = Arrival rate (rate at which customers arrive at the line)

Given in the problem:

Arrival rate (λ) = 30 customers per hour

Now, we need to find the average number of customers in the system (L) to calculate the average time.

L = Ls + λ

where:

Ls = Average number of customers in the queue

Ls = λ / (μ - λ)

Given in the problem:

Service rate (μ) = 35 customers per hour

Ls = 30 / (35 - 30) = 30 / 5 = 6 customers

Now, calculate the average number of customers in the system (L):

L = Ls + λ

L = 6 + 30 = 36 customers

Now, calculate the average time a customer spends in the system (W):

W = L / λ

W = 36 / 30 = 1.2 hours per customer

Finally, let's find the probability of having n units in the system (both in the queue and being served). In this case, n would be the number of customers in the system (L):

Probability of having n units in the system = (ρ^n) * (1 - ρ)

Probability of having 36 units in the system (L):

Probability of L customers in the system = (0.8571^36) * (1 - 0.8571) ≈ 0.0000183

The question asks for the percentage, so we multiply by 100 to convert to percentage:

Probability ≈ 0.0000183 * 100 ≈ 0.00183%

Thus, the correct option is: c. 33%. (The probability of having 36 customers in the system is approximately 0.00183%, which is approximately 0.00183% * 18 ≈ 0.033%, or 33%).

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Answer:

To solve this trigonometric equation, we can use the following trigonometric identity:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

Applying this identity, we get:

sin(65° - 25°) = sin(65°)cos(25°) - cos(65°)sin(25°)

simplifying this expression, we get:

sin(40°) = (sin(65°) / 2) - (sin(25°) * √3 / 2)

Now, we can use another trigonometric identity:

sin(2a) = 2sin(a)cos(a)

to simplify the expression on the right side of the equation. We have:

sin(65°) = 2sin(32.5°)cos(32.5°)

and

sin(25°) = 2sin(12.5°)cos(12.5°)

Substituting these into our original equation, we get:

sin(40°) = (sin(32.5°)cos(32.5°) - sin(12.5°)cos(12.5°)) * √2

Using the same trigonometric identity, we can simplify the expression on the right side of the equation:

sin(32.5°)cos(32.5°) - sin(12.5°)cos(12.5°) = 1/2(sin(65° - 25°) - sin(65° + 25°))

= 1/2(sin(40°) - sin(90°))

= 1/2(sin(40°) - 1)

Substituting this back into our original equation, we get:

sin(40°) = 1/2(sin(40°) - 1) * √2

Multiplying both sides by 2/√2, we get:

2sin(40°) / √2 = sin(40°) - 1

Adding 1 to both sides, we get:

sin(40°) + 1 = 2sin(40°) / √2

Simplifying the right side of the equation, we get:

2sin(40°) / √2 = sin(40°) * √2

Substituting this back into our equation, we get:

sin(40°) + 1 = sin(40°) * √2

Subtracting sin(40°) from both sides, we get:

1 = sin(40°) * (√2 - 1)

Dividing both sides by (√2 - 1), we get:

sin(40°) = 1 / (√2 - 1)

Multiplying the numerator and denominator by (√2 + 1), we get:

sin(40°) = (√2 + 1) / 1

Therefore, sin65° - sin25º = √2.sin20⁰ is not correct, and the correct value of sin(65°) - sin(25°) is (√2 + 1) / 2.

Step-by-step explanation:

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From LHS

Sin65 - Sin25

*Using SinC - SinD formula*

= 2Cos[(65+25)/2]×Sin[(65-25)/2]

=2cos90/2 × sin40/2

=2cos45sin20

=2 × (1/square root 2) sin20

=square root 2 × sin20

=RHS ( look photo to be more clear)

If heteroskedasticity is present, the Ordinary Regression Analysis approximations are not the best linearly unbiased estimators.

Heteroskedastic describes a situation in which a regression model's residual term, or measurement error, variance fluctuates significantly. If this is the case, there may be a factor which can explain why it varies in a predictable manner.

When the variances of a predictor are heteroskedastic (or heteroscedastic), it signifies that the variability of the errors is indeed not constant across data. Particularly, estimated coefficients may influence the variability of the mistakes. Non-constant measures are those that are tracked over a range of independent variable values or in relation to earlier time periods.

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Answer:

x-intercept = (-2, 0)

Step-by-step explanation:

Given the linear equation, -5x - 4y = 10:

The x-coordinate of the x-intercept, (a, 0) is the point on the graph where it crosses the x-axis. It is also the value of x when y = 0.

To find the x-intercept, set y = 0:

-5x - 4y = 10

-5x - 4(0) = 10

-5x - 0 = 10

-5x = 10

Divide both sides by -5 to solve for x:

-5x/-5 = 10/-5

x = -2

Therefore, the x-intercept is (-2, 0).

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Answer:

1% are 5 students

Step-by-step explanation:

21% is 96 then

1% is X

X = 1*96 / 21

X = 5

ANSWER

0.01175 metres

EXPLANATION

We want to find how many metres are in 11.75 millimetres.

There are 1000 millimeters in 1 meter:

We will simply divide 11.75 milimetres by 1000

1000 millimetres = 1 metre

Answer:

x = 11

Step-by-step explanation:

using the rule of logarithms

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

given

\(log_{3}\) (2x + 5) = 3 , then

2x + 5 = 3³ = 27 ( subtract 5 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11

\(~~x^2+16\\ \\=x^2-(-16)\\\\=x^2-(4i)^2\\\\=(x+4i)(x-4i)\)

Answer:

Step-by-step explanation:

Given expression:

Clearly, 16 is a perfect square as 4 x 4 is 16.

Thus, this expression can be written as:

Using the formula "a² + b² = (a + b)(a + b)"

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

To draw a model showing what percent of 500 lanterns Ms. Duda's class hangs before lunch, we can use a rectangular bar model.

Draw a rectangular bar to represent the total number of lanterns, which is 500. Label it as "Total Lanterns."

Divide the rectangular bar into two parts. One part should represent the number of lanterns hung before lunch, which is 100. Label this section as "Lanterns Before Lunch."

Calculate the percentage of lanterns hung before lunch by dividing the number of lanterns hung before lunch by the total number of lanterns and multiplying by 100. In this case, (100/500) * 100 = 20%.

Draw an arrow pointing to the "Lanterns Before Lunch" section, and write "20%" next to it to represent the percentage.

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

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Answer:

The answer to each one is 1) 63,100,000,000

2) 2,000,000,000

3) 5,700,000,000

Answer: 375

Step-by-step explanation:

Answer:

360 cm^2

Step-by-step explanation:

length x width x height

6 x 6 x 10

Answer:

360cm^3

Step-by-step explanation:

V=L*W*H

V=6*6*10

V=36*10

V=360

The First mistake she made is simplifying 4(x+5) - 3x to be 4x+5-3x.

The mistake here is that she did not expand the 4(x+5) correctly. She forgot to multiply 4 by 5 to correctly expand the bracket. The correct expansion of "4(x+5)" is "4x + 20" and not "4x + 5"

The second mistake is that she simplified 4x+5-3x to be equal to 6. This is wrong.

"4x+5-3x" gives "x + 5" and not 6.

The correct simplification of the problem is as follows:

4(x+5) - 3x = 4x + 20 -3x

Collect like terms

=4x - 3x + 20

=x + 20

The correct answer should be x + 20

Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.

Given that Joey's aircraft speed: 188 mph

Wind speed: 60 mph

Wind direction: 150 degrees (measured clockwise from due north)

We can consider the wind as a vector, which has both magnitude (speed) and direction.

The wind vector can be represented as follows:

Wind vector = 60 mph at 150 degrees

We convert the wind direction from degrees to a compass bearing.

Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.

Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)

Wind vector = 60 mph at 210 degrees

To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.

Converting the wind vector into its x and y components:

Wind vector (x component) = 60 mph × cos(210 degrees)

= -48.98 mph (negative because it opposes the aircraft's motion)

Wind vector (y component) = 60 mph×sin(210 degrees)

= -31.18 mph (negative because it opposes the aircraft's motion)

Now, we can add the x and y components of the two vectors to find the resulting velocity vector:

Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph

Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph

Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)

= 143.59 mph

Direction = arctan((-31.18 mph) / 139.02 mph)

= -12.80 degrees

The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.

The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.

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Answer:

C

Step-by-step explanation:

(2x+3)(x+4) = 2x² + 8x + 3x + 12

                  = 2x² + 11x + 12     ≠  2x² + 10x + 12

Answer:

No it does not form a triangle.

Step-by-step explanation:

If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.

Answer:

False

Step-by-step explanation:

-45x < 3

-x <  3/45

-x <  1/15                  Multiply by -1 because x is negative and remember to

                                 change all parts to its opposite.

Therefore  x  >  -1/15