Need the domain and range !!!

Answer:

yes its a function because the x side doesnt repeat itself

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Answer: 2/15

Step-by-step explanation:

firstly divide lcm by denominator 1 = 15/5 = 3

then multiply by 3 nominator = 4*3 = 12

then divide lcm by denominator 2 = 15/3= 5

Multiply by 5 nominator = 5*2 = 10

lastly 12-10/15 ( both answer upon lcm)

2/15

How to convert litres into grams?

Answer: a) 25 cups        b) \(16\frac{1}{4}\) cups       c) 16 Tbsp

Step-by-step explanation:

Set up the proportion:      \(\dfrac{8\ Tbsp\ \text{honey}}{10\ cups\ \text{flour}}\quad \rightarrow \quad \dfrac{4\ Tbsp\ \text{honey}}{5\ cups\ \text{flour}}\)

\(\dfrac{\text{honey}}{\text{flour}}:\quad \dfrac{4\ Tbsp}{5\ cups}=\dfrac{20\ Tbsp}{x}\)

Cross Multiply:        4x = 20(5)

Simplify:                   4x = 100

Divide by 4:               x = 25

\(\dfrac{\text{honey}}{\text{flour}}:\quad \dfrac{4\ Tbsp}{5\ cups}=\dfrac{13\ Tbsp}{x}\)

Cross Multiply:        4x = 13(5)

Simplify:                   4x = 65

Divide by 4:               x = 16.25      →    \(16 \frac{1}{4}\)

\(\dfrac{\text{honey}}{\text{flour}}:\quad \dfrac{4\ Tbsp}{5\ cups}=\dfrac{x}{20\ cups}\)

Cross Multiply:        4(20) = 5x

Simplify:                    80 = 5x

Divide by 5:               16 = x

Provided that the bakery uses the same ratio of honey to flour; the answer to the questions are;

According to the question; the bakery uses the same ratio of honey to flour.

The premises of the ratio is;

8 tablespoons of honey for every 10 cups of flour.

Therefore,

tablespoons of honey/cups of flour = 8/10 = 4/5

Question 1;

4/5 = 20 tablespoons of honey/x cups of flour

By Cross-product;

x = (20 × 5)/4

x = 25 cups of flour.

Question 2:

4/5 = 13 tablespoons of honey/x cups of flour

By cross product;

x = (13 × 5)/4

x = 16.25 cups of flour

Question 3:

4/5 = x tablespoons of honey/20 cups of flour

By cross product;

x = (4 × 20)/5

x = 16 tablespoons of honey.

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The downside of using an interface for integration is that the data will not be as accurate as it would be if it were integrated more directly.

When it comes to integrating data between different systems or applications, there are different approaches that can be taken.

One common method is to use an interface, which acts as a bridge between the two systems and facilitates the exchange of data.

However, while interfaces can be useful for integrating data, there are some downsides to this approach, including the potential for reduced accuracy.

The reason for this is that interfaces often require data to be transformed or mapped between the two systems, which can introduce errors or inconsistencies.

For example, if the data in one system is stored in a different format or with different data types than the other system, this may need to be converted before it can be transferred.

Similarly, if there are differences in the way that data is organized or labeled in the two systems, this can create challenges when integrating the data.

In contrast, more direct methods of integration, such as database replication or data synchronization, can be more accurate since they involve copying data directly from one system to another without the need for transformation or mapping.

However, these methods can also be more complex and costly to set up and maintain.

Ultimately, the choice of integration method will depend on the specific needs and constraints of the organization. While interfaces may have some drawbacks in terms of data accuracy, they can still be a useful tool for integrating data in many situations.

It is important to carefully consider the tradeoffs between different integration methods and choose the one that best meets the needs of the business.

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The length of the arc intercepted by a central angle of pi/6 radians in a circle with a radius of 5 meters is approximately 2.6 meters.

The length of the arc intercepted by a central angle, we can use the formula: s = rθ, where s is the length of the arc, r is the radius of the circle, and θ is the central angle in radians.

Given that the radius of the circle is 5 meters and the central angle is pi/6 radians, we can substitute these values into the formula:

s = (5 meters) * (pi/6 radians)

 ≈ (5 meters) * (0.5236 radians)

 ≈ 2.618 meters

Rounding to the nearest tenth, the length of the arc intercepted by a central angle of pi/6 radians in a circle with a radius of 5 meters is approximately 2.6 meters.

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Answer:

i feel like the third one would be the best

Step-by-step explanation:

i just feel as though its the most suitable one to pick

The replacement time separating the bottom 30% to the top 70% of CD players is 9.27 to 10.73 years.

A normal distribution refers to a continuous probability distribution in statistics that is symmetric and bell-shaped. It is a statistical distribution that is ideal for data that are continuous and normally distributed in a population.

The central limit theorem states that any large number of independent random variables, each with its own distribution, have their sum distribution approach normality as the number of variables grows large enough.

The formula for z-score is given as:

z = (x - μ) / σ

where x is the random variable, μ is the mean, σ is the standard deviation, and z is the z-score.

Substituting the given values of the mean, standard deviation, and percentiles in the above formula, we get:

For the bottom 30%, the percentile rank is 0.3.

Hence, the z-score is given as:

z = invNorm(0.3) = -0.5244

Substituting the z-score formula we get:

-0.5244 = (x - 10) / √2

Rearranging the above formula we get:

x = -0.5244 * √2 + 10 = 9.27 years

For the top 70%, the percentile rank is 0.7.

Hence, the z-score is given as:

z = invNorm(0.7) = 0.5244

Substituting the z-score formula we get:

0.5244 = (x - 10) / √2

Rearranging the above formula we get:

x = 0.5244 * √2 + 10 = 10.73 years

Therefore, the replacement time separating the bottom 30% to the top 70% of CD players is 9.27 to 10.73 years.

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Answer: 0

Step-by-step explanation:

slope = Δy/Δx

slope = (17-17)/(3-8) = 0

Answer:

The "p if and only if q" statement is equivalent to "q if and only if p", then let's rewrite all the propositions in this way.

a) "If it is hot outside you buy an ice cream cone, and if you buy an ice cream cone it is hot outside."

We can define:

q = is hot outside

p = you buy an ice cream cone

Then we can rewrite this as:

"You buy an ice cream cone if and only if is hot outside"

b)  "For you to win the contest it is necessary and sufficient that you have the only winning ticket."

We can define:

p = you winning the contest

q = have the winning ticket

Then we can rewrite (changing some words) this as:

"You will win the contest if and only if you have the winning ticke"

c) "You get promoted only if you have connections, and you have connections only if you get promoted."

We can define:

p = you get promoted

q = you have connections

We can rewrite the proposition as:

"You can get promoted if and only if you have connections"

d) " If you watch television your mind will decay, and conversely."

We can define:

p = you watch television

q = your mind will decay

We can rewrite it as:

"You can watch television if and only if your mind decays"

e) " The trains run late on exactly those days when I take it."

We can define:

p = The train runs late

q = I take it.

We can rewrite the proposition as:

"The train runs late if and only if I take it"

The value of the coefficient B will be 9.

2(x+By)(x-2y)

=2(x^2 -2xy +Bxy -2By^2)

=2x^2 -4xy + 2Bxy - 4By^2

The original form is  \(\d2x^{2} +14x-36y^{2}\)

\(2(x+By)(x-2y)\\\ =2(x^2 -2xy +Bxy -2By^2)\\\\ =2x^2 -4xy + 2Bxy - 4By^2\\\\2x^2 + 14xy - 36y^2\\\\ -36y^2 = -4By^2B= 9\\\\ -4xy +2Bxy= 14xy\\\\xy(-4 +2B)= 14xy\\\\ -4 + 2B = 14\\\\ 2B = 18\\\ B=9\)

hence the value of B=9

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Answer:

b=9

Step-by-step explanation:

none of the given options A, B, C, D, or E provide the correct expression for the marginal product of labor (MP_L).

A. AP_L = q/L

In this option, there is no expression provided for the marginal product of labor (MP_L). So this option is not correct.

B. AP_L = L - 0.25K^0.25

Again, no expression is given for MP_L in this option. So this option is also not correct.

C. AP_L = 0.75L - 0.25K^0.25

Similar to the previous options, there is no expression provided for MP_L. So this option is not correct.

D. Both a and b

Option D cannot be the correct answer because both options a and b do not provide an expression for MP_L.

E. All of the above

Option E cannot be the correct answer because not all the options provide an expression for MP_L.

Regarding the second part of the question, the expressions for AP_L and MP_L when K^ = 16 cannot be determined without a specific production function or additional information.

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Answer: 128 students

Step-by-step explanation:

    We will set up a proportion to help us solve.

\(\displaystyle \frac{75\%}{96\;\text{students}} =\frac{100\%}{x\;\text{students}}\)

    Now, we will cross-multiply.

75 * x = 96 * 100

75x = 9,600

    Lastly, we will divide both sides of the equation by 0.75.

x = 128

Answer: x ≥  -5

Step-by-step explanation:

First, let's see how the function f(x) = IxI works:

if x ≥ 0, IxI = x

if x ≤ 0, IxI = -x

Notice that for 0, I0I = 0.

Ok, we want that:

|x+5| = x+5

Notice that this is equivalent to:

IxI = x

This means that  |x+5| = x+5 is only true when:

(x + 5) ≥ 0

from this we can find the possible values of x:

we can subtract 5 to both sides and get:

(x + 5) -5 ≥ 0 - 5

x ≥  -5

So the graph in the number line will be a black dot in x = -5, and all the right region shaded.

something like:

-7__-6__-5__-4__-3__-2__-1__0__1__2__3__4__ ...

Given:

Coordinates for translate

Required:

To match coordinates with description.

Explanation:

a. (x,y) goes to (x+3,y) which means value of (x,y) goes from (0,0) to (3,0) which match our statement no ii.

b. (x,y) goes to (2x,2y) which means value of (x,y) goes from (0,0) to (2,2) which match

our statement no iii.

c. (x,y) goes to (x,y+4) which means value of (x,y) goes from (0,0) to (0,4) which match

our statement no i.

d. (x,y) goes to (x,y-4) which means value of (x,y) goes from (0,0) to (0,-4) which match

our statement no iv.

e. (x,y) goes to (x-3,y-5) which means value of (x,y) goes from (0,0) to (-3,-5) which match our statement no v.

Required answer:

a goes to ii

b goes to iii

c goes to i

d goes to iv

e goes to v.

The sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

What is sampling distribution ?

An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population.            

                         It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.

Given,

Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325.

Simulation A will consist of 1500 trials with a sample size of 100.

Simulation B will consist of 2000 trials with a sample size of 50.

Center for Simulation A and Simulation B will be roughly equal.  

Overall Sample size of Simulation A will be

  = 1500 * 100  = 150000

Overall Sample size of Simulation B will be

 = 2000 *  50  =  100000

Hence, the sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

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The complete question is -

In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

Answer:

This is called system of equations.

Step-by-step explanation:

This combines two equations and then lines them up to a system.

Answer:

Step-by-step explanation:

  matrix

     or

vector geometry

Answer:

1)     ( \(-\frac{5}{2}\), \(\frac{5}{2}\))

2)    5

3)    ( 2, \(\frac{1}{2}\))

4)    (17, 2)

5)    (8, 7)

Step-by-step explanation:

No. 1

You can use the midpoint formula: \(\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}\)

So, the Change In X is: -1 - 4 = -5

And the Change in Y is: 6 - 1 = 5

Once you divide both of the changes by 2, you get

X: \(-\frac{5}{2}\)

Y:  \(\frac{5}{2}\)

So the midpoint is: ( \(-\frac{5}{2}\), \(\frac{5}{2}\))

_________________________________________________________

No. 2

You can just find the middle of the two numbers. You could honestly just count it on your fingers if you wanted.

8 - 3 = 5

__________________________________________________________

No. 3

You can use the midpoint formula: \(\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}\)

So, the Change In X is: -3 - (-9) = 6

And the Change in Y is: 4 - 3 = 1

Once you divide both of the changes by 2, you get

X: 2

Y:  \(\frac{1}{2}\)

 So the midpoint is: ( 2, \(\frac{1}{2}\))

__________________________________________________________

No. 4

You can use the midpoint formula: \(\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}\)

So, the Change in X is: -1 - X

And the Change in Y is: -12 - Y

Once you divide both of the changes by 2, you get

X:  \(\frac{-1-X}{2} = -9\)

    -1 - X = -18

    -X = -17

     X = 17

Y:  \(\frac{-12-Y}{2} = -7\)

     -12 - Y = -14

     -Y = -2

      Y = 2

So the endpoint is: (17, 2)

__________________________________________________________

No. 5

You can use the midpoint formula: \(\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}\)

So, the Change in X is: -14 - X

And the Change in Y is: -13 - Y

Once you divide both of the changes by 2, you get

X:  \(\frac{-14-X}{2}=-11\)

    -14 - X = -22

    -X = -8

     X = 8

Y:  \(\frac{-13-Y}{2} =-10\)

     -13 - Y = -20

     -Y = -7

      Y = 7

So the endpoint is: (8, 7)

Answer:

The percent decrease of the sale price of the sofa from the regular price is 17%.

Step-by-step explanation:

Sure! Here are the steps to find the percent decrease:

The percent decrease of the sale price from the regular price is 17%.

Answer:

17% is the percen

confidence interval: This tells us the degree of certainty or uncertainty that is existent in a sampling method.

To construct a 95% confidence interval for the population mean cholesterol level, we can use the following formula:

CI = x ± t*(s/√n)

where x is the sample mean, s is the sample standard deviation, n is the sample size, and t is the t-value from the t-distribution with n-1 degrees of freedom and a confidence level of 95%.

Substituting the given values, we have:

CI = 224 ± t*(12/√21)

Using a t-table with 20 degrees of freedom (since n-1=20), we find that the t-value for a 95% confidence interval is approximately 2.086.

Thus, the confidence interval is:

CI = 224 ± 2.086*(12/√21)

CI = (219.60, 228.40)

Therefore, the answer is option (c) (219.60, 228.40).

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The angle  of EBF is  6w -28°.

It is required to find the angle  of EBF.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

ABF = 8w - 6

ABE = 2(w + 11)

According to given question we have,

Angle EBF = ABF - ABE

Angle EBF = 8w - 6 - [2(w + 11)]

Angle EBF = 8w - 6 - [2w + 22]

Angle EBF = 8w - 6 - 2w - 22

Angle EBF = 6w -28°

Therefore, the angle  of EBF is  6w -28°.

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9514 1404 393

Answer:

Step-by-step explanation:

Let x represent Josh's rate of travel in miles per hour. After 2 hours, his distance is ...

  distance = speed · time

  distance = x · 2 = 2x

Then 2x is Greg's rate of travel After 5 hours, his distance is ...

  distance = speed · time

  distance = (2x) · 5 = 10x

The distance they are apart is ...

  10x -2x = 256

  8x = 256

  x = 32

__

Josh's rate: 32 miles per hour; Josh's distance = (2 h)(32 mi/h) = 64 miles.

Greg's rate: (32 mi/h)·2 = 64 mi/h; Greg's distance = (5 h)(64 mi/h) = 320 miles.

__

Check: 320 miles - 64 miles = 256 miles . . . . correct separation

Answer:

7.5

Step-by-step explanation:

To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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