he owner of a used tire store wants to construct a fence to enclose a rectangular outdoor storage area by using part of one side of the store, which is 240 feet long, as one of the sides of the enclosed area. there are 460 feet of fencing available for the other three sides of the enclosure. find the dimensions of the outdoor enclosure with the most area.

6x³ - 4x² - 16x

To factorize the expression first factor out the GCF out

The GCF in the expression is 2x

2x( 3x² - 2x - 8)

Next, Factorize the terms in the bracket

To factorize write - 2x as a difference

2x( 3x² + 4x - 6x - 8)

Factor out x from the expression

2x [ x( 3x + 4) - 6x - 8 ]

Next factor out - 2 from the expression

2x [ x ( 3x + 4) - 2( 3x + 4) ]

Factor out 3x + 4 from the expression

The final answer : 2x( 3x + 4)( x - 2)

Letter C

Answer:

C. 11:16

Step-by-step explanation:

It is C, it can't go simpler bcs of 11

True , Their mistakes will be connected if you fit a slope and intercept at the same time. If more than one theory can explain a measurement, then the measurement cannot be used to differentiate between the two hypotheses.

What are theories and an example?

An assertion that reflects the relationship between precisely two variables is known as a simple hypothesis. a dependant and a single independent.

                                      As an illustration, consider the statement "Smoking is a significant cause of lung cancer." Smoking is an independent variable whose effect on lung cancer is dependent.

What is hypotheses, and what are its purposes?

A hypothesis serves as an answer to the research question and directs the gathering and analysis of data, as was previously mentioned.

                         Using a hypothesis, researchers can predict relationships between variables based on theoretical precepts and/or actual data in addition to discovering relationships between variables.

Learn more about hypotheses

brainly.com/question/18173488

#SPJ4

The population will be 40 thousnd after 22.5 years,and 60 thousand after 34.4 years.

First, we want to estimate the number of years that takes to reach 40 thousand, to estimate that we need to look at the graph.

We can see that when y = 40, the value of x is between 20 and 25 (almost in the middle)

So here we estimate that the answer is 22.5

b) Now we want to estimate it using the equation

p(x) = 18*e^(0.035*x)

We want to find how many years it takes to reach a population of 60 thousand, then we need to solve:

p(x) = 18*e^(0.035*x) = 60

        e^(0.035*x) = 60/18

Using the natural logarithm in both sides:

ln( e^(0.035*x))  = ln(60/18)

0.035*x =  ln(60/18)

x =  ln(60/18)/0.035 = 34.4

Learn more about populations at:

https://brainly.com/question/25896797

#SPJ1

68.26% of all possible z values are contained between -1 and 1.

The formula for the 68-95-99.7 rule states that 68% of the data should fall within 1 standard deviation of the mean, 95% of the data should fall within 2 standard deviations of the mean, and 99.7% of the data should fall within 3 standard deviations of the mean. Therefore, for a standardized normal distribution, 68.26% of all possible z values are contained between -1 and 1.

To calculate this, first recall that for a normal distribution, the mean is 0 and the standard deviation is 1. Then use the 68-95-99.7 rule to determine that 68% of the data should be contained within 1 standard of the mean. Since the mean is 0, this means that 68% of the data should be contained between -1 and 1. Therefore, 68.26% of all possible z values are contained between -1 and 1.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ4

The linear equation has only one solution, and it is x = 2/5.

Here we want to see how many solutions does the linear equation have.

The equation is:

2 - 5x = 2x - 2 + 3x

To check that, let's try to solve the equation.

We can simplify the right side to get:

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

2 - 5x = 5x - 2

Nowwe canadd 5x in both sides to get:

2 - 5x + 5x = 5x -2 + 5x

2 = 10x - 2

Now add 2 in both sides:

2 + 2= 10x - 2 + 2

4 = 10x

4/10 = x

2/5 = x

So that is the solution (and we know that there is only one because this is a linear equation).

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

The value of 'x' and 'y' in the given diagram are 24° and 25° respectively.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know the sum of linear pair of angles is equal to 180°,

(4x + 9)° +(3y)° = 180°.

We also know that pair of alternate interior angles are equal,

3y° = 75°.

y = 25°.

And (4x + 9)° + 75° = 180°.

4x + 84° = 180°.

4x = 96°.

x = 24°.

learn more about transversals here :

https://brainly.com/question/27643943

#SPJ1

The measure angle EBF is (5b-24)°.

Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.

Give that, m∠ABF =(7b-24)° and m∠ABE =2b°.

From the figure,

m∠ABF =m∠ABE + m∠EBF

(7b-24)°=2b° + m∠EBF

m∠EBF = 7b-24-2b

m∠EBF = (5b-24)°

Therefore, the measure angle EBF is (5b-24)°.

To learn more about the adjacent angles visit:

https://brainly.com/question/12838185.

#SPJ1

Answer:

y = 1/5 x + 5

Step-by-step explanation:

20y- 4x = 100

Slope intercept form is y = mx+b  where m is the slope and b is the y-intercept.

Solving the equation for y

20y = 4x+100

Divide each side by 20

y = 4x/20 + 100/20

y = 1/5 x + 5

The slope is 1/5 and the y-intercept is 5

Answer:

y = 3

x = 5

Step-by-step explanation:

hope it helps.

Let's assume that the total amount spent on the movie tickets and snacks is represented by x.

We know that:

The movie ticket costs $13.00

The drinks cost $6.00

Therefore, the equation representing the total amount spent is:

x = 13 + 6 + 4y

where y is the number of snacks purchased.

Let's substitute the given value of x:

23 = 13 + 6 + 4y

Subtracting 13 and 6 from both sides:

4 = 4y

Dividing both sides by 4:

y = 1

So, you purchased 1 snack.

i am 100 percent positivw thw answer is 1 snack

Answer: There will be 2 players notified in the 1st round of calls,

Those players will then call two players in the 2nd round of calls.

This second round will yield 2 x 2 = 4 players being contacted.

Therefore, 6 players will be contacted after the second round of calls.

Answer: 18 players will be notified during the 2nd round of calls.

Step-by-step explanation: When doing a simple question like this, just follow these steps: First, do 2x3 which equals 6. Then do 6x3, which equals 18. Then 54, then 162, then 486, and so on.

Answer:

480

Step-by-step explanation:

Take 20% of 2400

Answer:

1920

Step-by-step explanation:

20% of 2400 = 480

2400-480= 1920

El area del rectangulo es 11/3 m²

Longitud = 15/6 m

Ancho=22/15 m

Área = Largo × Ancho

= 15/6 × 22/15

= 22/6

= 11/3 m²

Un rectángulo es una forma plana bidimensional que tiene dos pares de lados paralelos que son paralelos y de la misma longitud, y consta de cuatro ángulos rectos o 90⁰. Esta forma plana también tiene líneas diagonales que tienen la misma longitud.

Para comprender mejor las características de los rectángulos y poder explicar las diferencias con otras formas, es importante que los estudiantes conozcan las propiedades de los rectángulos.

Las propiedades de un rectángulo:

Obtenga más información sobre el rectángulo en

https://brainly.com/question/27722891

#SPJ1

Answer:

vector

Step-by-step explanation:

Answer:

$66.43

Step-by-step explanation:

​47.45$​ divided by 5

9.49*7

=66.43

Answer:

y = 3x - 11

Step-by-step explanation:

parallel lines have the same slope

y - y1 = m(x - x1)     point slope form, plug in the point (5,4)

y - 4 = 3(x - 5)    put this in slope-intercept form

y - 4 = 3x - 15

y = 3x - 11

Answer: To add numbers with exponents, you need to make sure that the bases are the same. Then you can add the exponents.

For example:

3^2 + 3^3 =

9 + 27 =

36

So 3^2 + 3^3 = 36.

Here are a few more examples:

(2^3) + (2^2) =
8 + 4 = 12

(5^2) + (5^3) =
25 + 125 = 150

(4^4) + (4^3) =
256 + 64 = 320

(3^3) + (3^2) =
27 + 9 = 36

(6^4) + (6^3) =
1296 + 216 = 1512

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The volume of the solid is 16.75 unit³ in the given line x+2y=8 intercseting the x-axis, the y-axis.

What is volumes of Solids?

We shall encounter several solids and their corresponding volumes when discussing the concept of the volume of combination of solids. As is common knowledge, the surface areas and volumes of all three-dimensional shapes depend on their dimensions. As we can see in reality, numerous shapes are created by fusing a variety of shapes. For instance, the combination of a cone and cylinder shapes creates a tent. Similar to how a cone and a hemisphere combine to form an ice cream cone. As a result, the volume of the solids combined will equal the total of the volumes of the individual solids.

The line  x+2y=8.

y = (8-x)/2

Volume will be V = π/2 ∫(r²) dr

So we have 1/3 π * r² * h

Here h = 8, r=2.

So V = 1/3 π * r² * h = 1/3 π * 2² * 8

V = 16.75 unit³

Hence ,the volume of the solid is 16.75 unit³

Learn more about volumes here

brainly.com/question/16717260

#SPJ4

The sum of the next 100 terms is 65250.

An arithmetic sequence is a sequence of numbers such that the difference between any two consecutive terms is constant. If we let "a" be the first term of the sequence and "d" be a common difference, then the nth term of the sequence is given by a + (n-1)d.

Since the sum of the first 100 terms is 15250 and the sum of the next 100 terms is 45250, we can write two equations to represent these sums:

We can use these equations to find the value of "d". Once we have found the value of "d", we can use the equation for the nth term to find the sum of the next 100 terms.

Subtracting the first equation from the second, we get:

Dividing both sides by 100/2, we get:

Finally, using the equation for the nth term and n = 201, we get:

So, the sum of the next 100 terms is 65250.

Learn more on Sum:

https://brainly.com/question/28421287

#SPJ4

The correct compound inequality is:

x - 4 < 9 or x - 4 > -9

We want to find a compound inequality equal to the absolute value one below:

|x - 4| < 9

We can break it into two ones, these are:

x - 4 < 9

x - 4 > -9

Solving these two we will get:

x < 9 + 4 = 13

x > -9 + 4 = -5

Then the compound inequality is:

x < 13

x > -5

Learn more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

Answer:

C

Step-by-step explanation:

C, probability is the answer

No, blinding was not demonstrated in the experiment because the volunteers knew whether they are drinking purple juice or yellow juice.

Blinding is the process of hiding a participant's group assignment from one or more other participants in a clinical research study, most frequently a randomized controlled trial (RCT).

Although the candy has the same flavour as the drink, participants can tell the difference based on colour. No, because the participants are aware of whether they are consuming yellow or purple juice.

To create a yellow or pink candy, two separate additives that don't affect flavour are added to identical sweets.

In each experiment, group allocations are concealed from data analyzers by blinding or masking. This experiment is not a blinding demonstration since the subject is aware of the juice.

As a result, adolescent volunteers are at random allocated either pink candy or yellow candy, both of whom are aware of the juice.

Learn more about the experiment, here:

https://brainly.com/question/5303449

#SPJ1

The common ration between the sum of a certain infinite geometric series is 2. the sum of the squares of all the terms is 3 is ( r,a) = ( 1/7, 12/7)

That means { a/ 1-r} = 2

a^2/1-r^2 = 3

2a/ 1+r = 3

2(2-2r)/ 1+r = 3

4-4r= 3+ 3r

7r + 1

r= 1/7

2a/ 8/7 = 3

7a= 12

a= 12/7

so( r,a) = ( 1/7, 12/7)

What is infinite geometric series?

An infinite geometric series is the sum of an infinite geometric sequence. This series would have no last term. The general form of the infinite geometric series is a1 + a1r + a1r2 + a1r3+…, where a1 is the first term and r is the common ratio.

To know more about infinite geometric series, visit: brainly.com/question/23602882

#SPJ4

The new graph would have the same intercept, however it would always assume lesser values than the old graph due to the new slope being less than the old slope.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

Hence the two functions are given as follows:

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

The sample size, n is 9 and the sample mean, m is 41.33.

The exam has possible points and the scores for the students in the third classroom are as follows: 30 48 44 32 44 44 32 48 50.

We are asked to determine the sample size(n) and sample mean(m).

Sample size refers to the number of observations included in a study. In this question, the number of observations is equal to the number of scores in the third classroom. Hence, the sample size(n) is equal to n.

Now, the formula of the sample mean(m) is given as  

                m = Sum of all observations/Total Number of observations

          m =  30 + 48 + 44 + 32 + 44 + 44 + 32 + 48 + 50/9

          m = 372/9

          m = 41.33

Hence, the sample mean(m) of the scores for the students in the third classroom is 41.33.

To learn more about sample mean here:

brainly.com/question/30112112

#SPJ4

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{y = 4x - 2}\\\mathsf{18 = 4x - 2}\\\mathsf{4x - 2 = 18}\\\large\textbf{ADD 2 to both sides:}\\\mathsf{4x - 2 + 2 = 18 + 2}\\\large\textbf{Simplify it:}\\\mathsf{4x = 18 + 2}\\\mathsf{4x = 20}\\\large\textbf{Divide 4 to both sides:}\\\mathsf{\dfrac{4x}4{} = \dfrac{20}{4}}\\\large\textbf{Simplify it:}\\\mathsf{x = \dfrac{20}{4}}\\\mathsf{x = 5}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = 5}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

[tex] \sf \: x = 5[/tex]

Step-by-step explanation:

Given equation,

→ y = 4x - 2

Now we have to use,

→ y = 18

Then the value of x will be,

→ y = 4x - 2

→ 18 = 4x - 2

→ 18 + 2 = 4x

→ 20 = 4x

→ 4x = 20

→ x = 20 ÷ 4

→ [ x = 5 ]

Hence, the value of x is 5.

Answer:

7/15

Step-by-step explanation:

We know the order is

1/5, 4/15, 1/3, 2/5

We can rewrite these as

3/15, 4/15, 5/15, 6/15

So, the next fraction in this sequence is 7/15