...
...
...
...
...
...
...
...
...
...

Answer:

x² - 9x + 6

Step-by-step explanation:

The polynomial in standard form is:

x² - 9x + 6

This is a quadratic polynomial because it has a degree of 2, and it has three terms.

Answer:

15

Step-by-step explanation:

x = 2

-4x+8+2x+3 = ?

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

= 8 + 8 - 4 + 3

= 16 - 4 + 3

= 12 + 3

= 15

hopefully this helped you :)

Answer:

-3

Step-by-step explanation:

When you have an equation in the form y=mx+b, then the number at the end is the y-intercept.

If mean of "non-conforming" units is 1.6, then probability that sample will contain 2 or less "non-conforming" units using Poisson-distribution is 0.7833.

The Average(mean) of non-conforming units is = 1.6,

So, the probability function using, poisson-distribution is written as :

P(X) = (\(e^{-1.6}\)×1.6ˣ)/x!,   for x=0,1,2,3,...

We have to find probability that sample will contain 2 or less nonconforming units, which means P(X≤2),

So, P(X≤2) = P(X=0) + P(X=1) +P(X=2),

So, P(X=0) = (\(e^{-1.6}\)×1.6⁰)/0! = 0.2019,

P(X=1) = (\(e^{-1.6}\)×1.6¹)/1! = 0.3230,

P(X=2) = (\(e^{-1.6}\)×1.6²)/2! = 0.2584,

Substituting the values, in P(X≤2),

We get,

P(X≤2) = 0.2019 + 0.3230 + 0.2584

P(X≤2) = 0.2019 + 0.3230 + 0.2584

P(X≤2) = 0.7833.

Therefore, the required probability is 0.7833.

Learn more about Probability here

https://brainly.com/question/31603869

#SPJ4

The given question is incomplete, the complete question is

If the average number of nonconforming units is 1.6, what is the probability that a sample will contain 2 or less nonconforming units? Use Poisson distribution.

Answer:

2e3t = 32 since you can divide by 3 on both sides.

Answer:

1/2 hour

Step-by-step explanation:

The equation used in writing a partial fraction decomposition is given as:

Negative 15 x + 10 / (5 x - 2) = a / (5 x - 2) + b / (5 x - 2).

To determine the values of a and b, we can use a system of equations. This system of equations consists of two equations, one for a and one for b. The equation for a is: Negative 15 x + 10 = a * (5 x - 2). The equation for b is: 0 = b * (5 x - 2). We can solve these equations simultaneously to get the values of a and b.

For example, if x = 1, then the equation for a becomes: Negative 15 + 10 = a * (5 - 2), which simplifies to -5 = a * 9. Therefore, a = -5/9. The equation for b becomes: 0 = b * (5 - 2), which simplifies to 0 = b * 3. Therefore, b = 0.

In summary, the system of equations used to determine the values of a and b is:

Negative 15 x + 10 = a * (5 x - 2) and 0 = b * (5 x - 2). By solving these equations simultaneously, we can get the values of a and b.

To learn more about partial functions:

https://brainly.com/question/24594390

#SPJ4

Answer:

B!!!

Right on Edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

Finding final velocity.

\(\boxed{v_{f}=v_{i} + at}\\\\v_{f} -- > final \ velocity\\\\v_{i} -- > Initial velocity\)

a -> accelaration

t ---> time

\(v_{i} = 7 \ m/s\)

a = 2 m/s²

t = 5 s

\(v_{f}= 7 + 2*5\)

     = 7 + 10

     = 17 m/s

10) h = 5 m

g = -10m/s²

\(t =\sqrt{\dfrac{2*h}{g}}\\\\ =\sqrt{\dfrac{2*5}{10}}\\\\= \sqrt{\dfrac{10}{10}}\\\\= 1\)

t = 1 sec

The Matlab function called euler_timestep can be created to solve IVPs using Euler's timestepping method.

The function takes in the input parameters of the interval boundaries a and b, initial condition alpha, and the number of intervals N. The function then solves the IVP using the given method and returns an array containing the solution at each time step.

In order to solve the IVP dy/dt = sin(2t) -2ty/t2, y(1) = 2, t E [1,5], the euler_timestep function can be called with the appropriate input parameters. The output will be an array containing the solution at each time step, which can then be plotted to visualize the solution over the given interval.

To know more about Matlab function click on below link:

https://brainly.com/question/30885201#

#SPJ11

Given:

Total number of friends = 5

Total cost of all five meals = $51.94

Sales tax = 6%

To find:

The cost of one meal before tax was added.

Solution:

Let x be the cost of all five meals before tax.

Then, Amount of tax = 6% of x

According to he question,

\(x+\dfrac{6}{100}x=51.94\)

\(x+0.06x=51.94\)

\(1.06x=51.94\)

Divide both sides by 51.94.

\(x=\dfrac{51.94}{1.06}\)

\(x=49\)

So, the cost of all five meals before tax is $49.

Divide this cost by 5 to get the cost of one meal before tax was added.

\(\dfrac{49}{5}=9.8\)

Therefore, the cost of one meal before tax was added, is $9.8.

Answer:

It is still 549.5

Step-by-step explanation:

Rounding to 1 decimal place is just rounding by the tenth place

So it is still 549.5

Hope this helps!

The area of the region R is 24.

To find the area of the region R bounded by the curves f(x) = -x^2 - 4x + 5, g(x) = 2x + 10, and the x-axis over the interval [-5, 1], we need to integrate the difference between the two curves over that interval.

First, let's find the x-values where the two curves intersect:

-f(x) = g(x)

-x^2 - 4x + 5 = 2x + 10

Rearranging the equation:

x^2 + 6x - 15 = 0

Factoring the quadratic equation:

(x + 5)(x - 3) = 0

So the intersection points are x = -5 and x = 3.

Now, let's set up the integral to find the area:

Area = ∫[a, b] (g(x) - f(x)) dx

Since the region is bounded by the x-axis, we take the absolute value of the difference between g(x) and f(x).

Area = ∫[-5, 1] |(2x + 10) - (-x^2 - 4x + 5)| dx

Simplifying:

Area = ∫[-5, 1] |3x^2 + 6x - 5| dx

Since the expression inside the absolute value is non-negative over the interval [-5, 1], we can simplify the integral further:

Area = ∫[-5, 1] (3x^2 + 6x - 5) dx

Integrating term by term:

Area = [x^3 + 3x^2 - 5x] evaluated from -5 to 1

Evaluating the integral at the limits:

Area = (1^3 + 3(1^2) - 5(1)) - (-5^3 + 3(-5^2) - 5(-5))

Calculating the values:

Area = (1 + 3 - 5) - (-125 + 3(25) + 5(5))

Simplifying:

Area = -1 - (-125 + 75 + 25)

Area = -1 + 25

Area = 24

Therefore, the area of the region R is 24.

Learn more about area at https://brainly.com/question/30689896

#SPJ11

The method used to determine the probability of a family having six girls, based on a survey of 1000 families with six children, is the classical method.

The classical method involves calculating probabilities based on the assumption of equally likely outcomes and known sample spaces. In this case, the sample space consists of all possible combinations of genders for six children, and the probability of a family having six girls is calculated as the ratio of the favorable outcome (one specific combination) to the total number of outcomes (all possible combinations).

Know more about probability here:

https://brainly.com/question/32004014

#SPJ11

Answer:

1, 2 and 3  (I, II and III)

Step-by-step explanation:

Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.

The y intercept is 1

the x intercept is:  

0 = 3x + 1

x = 1/3

Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III.  Graph the equation to prove this.  

Answer:Graph y=5-2x. y=5−2x y = 5 - 2 x. Reorder 5 5 and −2x - 2 x . y=−2x+5 y = - 2 x + 5.

Answer:

try your self more and more times you can easily solve

The value of the missing angle 1 is 59⁰.

The value of the measure of angle 1 is calculated by applying the concept of sum of angles in a triangle and sum of angles on a straight line.

The measure of the angle adjacent to 139⁰ is determined as follows;

? + 139⁰ = 180⁰  ( sum of angles in a triangle )

? = 180 - 139

? = 41⁰

The value of the missing angle 1 is calculated as follows;

m∠1 + 41⁰ + 80⁰ = 180 ( sum of angles in a triangle )

m∠1 + 121 = 180

m∠1  = 59⁰

Learn more about angles in a triangle here: https://brainly.com/question/25215131

#SPJ1

Answer:

60 ft is the Perimeter.

Step-by-step explanation:

Answer:

60 ft.

Step-by-step explanation:

1. These being the side lengths, just add them.

15ft + 21ft + 24ft = 60ft

2. Answer is 60ft.

Answer:

50feet

Step-by-step explanation:

0.5=5feet

5

5f×5/0.5=50 Feet

Answer:

m= 1/10

Step-by-step explanation:

1. Move the terms so that will be 3m - 2m=-1/2 + 3/5

2. Subtract the m values so that will be 3m - 2m= 1 or m

3. Calculate the sum.

4. So the answer will be m= 1/10. M because we subtracted 2 from 3 which make us 1 so we say it m and 1/10 by doing 1/2 + 3/5.

Answer:

Step-by-step explanation:

3m - 3/5 = 2m - 1/2

3m - 2m = 3/5 - 1/2

m = 0.1

We can use the formula :Total amount of the bill = Billing rate x Time. We can substitute the given values in the formula: Total amount of the bill = $74.50 x 4/12We can simplify the fraction: Total amount of the bill = $74.50 x 1/3We can multiply the billing rate by the fraction: Total amount of the bill = $24.83. Therefore, the total amount of the bill would be $24.83.

If $74.50 is charged per hour for billing for 4/12 hours, the total amount of the bill would be $24.83.Given that billing is $74.50 per hour and the time is 4/12 hours. To find the total amount of the bill, we need to multiply the billing rate by the time.Here's the calculation:$\text{Billing rate} = $74.50\text{Time} = \frac{4}{12} = \frac{1}{3} \text{hours} $Total amount of the bill = $\text{Billing rate} \times \text{Time}$Total amount of the bill = $74.50 \times \frac{1}{3}$Total amount of the bill = $24.83Therefore, the total amount of the bill would be $24.83. Note that the answer should be more than 100 words, so here's an explanation of how to solve the problem:To find the total amount of the bill, we need to know the billing rate and the time. Given that the billing rate is $74.50 per hour and the time is 4/12 hours.

To know more about fraction, visit:

https://brainly.com/question/10354322

#SPJ11

The total amount of the bill would be $24.83.

Given the information as follows: Amount charged per hour is $74.50 and the billing time is 4/12 hours. We need to find the total amount of the bill.

Solution:

We can calculate the billing amount by multiplying the amount charged per hour by the billing time.

\(Billing = Amount charged per hour × Billing time\)

The billing amount can be calculated by multiplying the amount charged per hour by the billing time. In this case, the amount charged per hour is $74.50, and the billing time is 4/12 hours. So, to find the total amount of the bill, we multiply $74.50 by 4/12.

Substituting the given values, we have:

\(Billing = $74.50 × 4/12\)

Simplifying the expression, we find:

\(Billing = $24.83\)

Therefore, the total amount of the bill would be $24.83.

To know more about total amount, visits:

https://brainly.com/question32453941

#SPJ11

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

To know more about Convenience purchases:

https://brainly.com/question/30247858

#SPJ4

The volume of a pyramid with a square base, where the perimeter of the base is 4.7 cm and the height of the pyramid is 4.7 cm, is 2.2 cm³.

The volume of a pyramid is calculated by dividing the area of the base by three and multiplying by the height. In this case, the area of the base is 22.09 square centimeters and the height is 4.7 cm. Therefore, the volume is 2.2 cubic centimeters.

The area of the base can be calculated by multiplying the length of one side of the square by itself. In this case, the length of one side of the square is 4.7 cm. Therefore, the area of the base is 4.7 * 4.7 = 22.09 square centimeters.

The height of the pyramid is the distance from the apex of the pyramid to the center of the base. In this case, the height is 4.7 cm.

By plugging these values into the formula for the volume of a pyramid, we get V = 1/3 * 22.09 * 4.7 = 2.2 cubic centimeters.

The answer is rounded to the nearest tenth of a cubic centimeter, which is 2.2 cubic centimeters.

To learn more about volume here brainly.com/question/28058531

#SPJ11

The measure of angles of intersecting lines are solved

Given data ,

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

a)

The total measure of angles = 90°

So , ( x + 16 )° + ( 3x + 2 )° = 90°

On simplifying , we get

4x + 18 = 90

Subtracting 18 on both sides , we get

4x = 72

Divide by 4 on both sides , we get

x = 18

Therefore , the angles are solved

b)

The angles on a straight line is supplementary = 180°

So , 3x° + 84° = 180°

Subtracting 84° on both sides , we get

3x = 96°

Divide by 3 on both sides , we get

x = 32

Therefore , the angles are solved

c)

The angles on a straight line is supplementary = 180°

So , ( 6x + 3)° + 87° = 180°

Subtracting 87° on both sides , we get

( 6x + 3)° = 93°

Subtracting 3 on both sides , we get

6x = 90

Divide by 6 on both sides , we get

x = 15

Therefore , the angles are solved

d)

The Opposite angles are congruent

So , 63° = 4x + 3

Subtracting 3 on both sides , we get

4x = 60

x = 15

Hence , the angles of intersecting lines are solved

To learn more about intersecting lines click :

https://brainly.com/question/16315358

#SPJ1

Answer:

52

Step-by-step explanation:

yes

(x+2)(x-3)(x+5)

Step-by-step explanation:

Answer:

(x+2) (x-3) (x+5)

Step-by-step explanation:

Factor the polynomial using the rational roots theorem

Answer: 23

Step-by-step explanation:

The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1