Write an equation of the line that passes through the given point and is (a) parallel and b) perpendicular to the given line.
a. y =
b. y=

The value of the expression given as √x³ is x√x

The expression is given as

√x³

Express 3 as the sum of 2 and 1

So, we have the following equation

√x³ = √x²⁺¹

Apply the law of indices to expand the equation

So, we have the following equation

√x³ = (√x² * √x)

Next, we expand the equation

So, we have the following equation

√x³ = √x² * √x

Evaluate the square root of x²

So, we have the following equation

√x³ = x * √x

Evaluate the product

So, we have the following equation

√x³ = x√x

Hence, the value of the expression is x√x

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The quota sampling produces the same advantages for convenience sampling that stratified random sampling produces for probability sampling.

Sampling:

Sampling is defined as the process in statistical analysis where researchers take a predetermined number of observations from a larger population.

Given,

Here we need to find the type of sampling that produces the same advantages for convenience sampling quota sampling.

Before, move on to the result, first we have to know the details about quota sampling and the probability sampling.

Probability sampling defined as the selection of a sample from a determined number of population, when this selection is based on the principle of randomization, that is, random selection or chance.

In contrast to probability sampling, Quota sampling means a non-probability sampling method in which researchers create a sample involving individuals that represent a population.

Based on these definition we have identified that the method that is best suitable answer for this one is stratified random sampling.

Because the stratified random sampling means, is a probability sampling technique in which the total population is divided into homogenous groups to complete the sampling process.

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The coefficient of determination given the correlation coefficient is 0.81.

Correlation is used to measure the linear relationship between two variables. When the correlation coeffienient is negative, it means that the variables have a negative correlation. This means that the two variables move in opposite directions.

The coefficient of determination is used to measure the variation between the two variables being measured.

The coefficient of determination = correlation coeffienct²

-0.9² = 0.81

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Answer:

-6.3 is your slope.

Step-by-step explanation:

Hello, there! Nice to meet you.

This is a pretty easy question, as it's written in y = mx + b form.

When it's written like this, the m in replacement is your slope value.

So, in this case, -6.3 is your slope.

If I had y = 3x + 6, then 3 would be the slope, but that's just an example.

Once more, the m value is your slope.

Hope this helped, and best of luck with the rest of your assignment! (:

Jim's percent error is 3.03%.

The percentage error is given as the difference between the actual value and the estimated value divided by the actual value, multiplied by 100%.

The percentage error is a relative value that compares the actual value and the estimated value to explain any deviations.

Estimated width of wall = 8 feet

The actual width of the wall = 8.25 feet

The difference in estimate = 0.25 feet (8.25 - 8)

Percentage Error = 3.03% (0.25/8.25 x 100)

Thus, we can conclude that Jim made a percentage error of 3.03% in his estimate of the width of the wall.

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To answer this question we will use the following examples:

1) Let a=b, then:

Since a is rational, then |a| is rational.

2) Let a=1 and b=2, then:

We know that √2 is an irrational number.

Therefore, if a and b are rational numbers, then:

is sometimes a rational number.

Answer: Third option.

Answer: y = -3x + 1

Step-by-step explanation:

Find the slope, rise/run:

-5 - (-17) / 2 - 6

-12/4 or -3

Find the y-intercept by substitution:

y = mx + b

-5 = -3(2) + b (Using the first coordinate)

1 = b

The slope of the line between the two points defined in the graph is 1/2.

Slope of the line:

The slope of a line is the change in y coordinate with respect to the change in x coordinate.

m = Δy/Δx

Where the net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx. Where “m” is the slope of a line

Given,

There is a graph presented here.

Through the graph we have identified two points,

They are (3,0) and (-3, -3).

Now we need to find the slope of the line between these points.

Here we consider the values of (x1,y1) as (3,0) and the value of (x2,y2) as (-3,-3).

Through the values we have to identify the slope of the line.

For that, we have to apply the values on the formula,

Then we get,

m = (-3 - 0)/(-3-3)

m = -3/-6

m = 1/2

Therefore, the slope of the line is 1/2.

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Answer:

tuition expenses

Step-by-step explanation:

The function f,g and h are defined by f(x)=xSin(1/x²), g(x)=x²Sin(1/x) and h(x)=Sinx/x. The 1st and 2nd inequality are satisfying the function, Option A is correct.

Given that,

The function f,g and h are defined by

f(x)=xSin(1/x²)

g(x)=x²Sin(1/x) and

h(x)=Sinx/x

We have to find which inequality can be used with squeeze theorem to find the limit of the function.

The inequality are

1. -|x|<f(x)<|x|

2. -x²<g(x)<x²

3. -x<h(x)<x

The squeeze (or sandwich) theory states that if f(x)g(x)h(x) for all numbers and at some point x=k we have f(k)=h(k), then g(k) must also be equal to them. Theorem: We can use them to achieve challenging limits, such as sin(x)/x at x=0, by "squeezing" sin(x)/x between two better functions and using them to find the limit at x=0.

First we see the 1st inequality.

The range of sin function is from -1 to 1

-1<Sin(1/x²)<1

-x<xSin(1/x²)<x

-|x|<xSin(1/x²)<|x|

-|x|<f(x)<|x|
The 1st inequality satisfy the function.

Now, we see the 2nd inequality.

The range of sin function is from -1 to 1

-1<Sin(1/x)<1

-x²<x²Sin(1/x²)<x²

-x²<g(x)<x²
The 2st inequality satisfy the function.

Now, we see the 3nd inequality.

The range of sin function is from -1 to 1

-1<Sinx<1

-1/x<Sinx/x<1/x

-1/x<h(x)<1/x
The 3st inequality does not satisfy the function.

Therefore, the 1st and 2nd inequality are satisfying the function, Option A is correct.

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b times 8 can be written as

solution

For this case we can use the following proportion rule:

Then we can solve for f on this way and we got:

Answer: 34.196 x 10^6

If E is the midpoint of DF then the value of x is 1 .

The midpoint of the reference line that is established can be found using a straightedge and compass arrangement given two locations of interest.

If E is the midpoint of DF then we can say that ,

DE = EF

Now we put the values in the equation:

3x + 2 = 5x

or, -2x = -2

or, x = 1

Therefore the value of x is 1

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Answer: C. Both are correct. Gregory's definition can be simplified to get Felipe's definition.

Step-by-step explanation:

-1, 6, 13

[tex]a_n=a_1+(n-1)d\\\\d=a_2-a_1\\\\d=6-(-1)\\\\d=6+1\\\\d=7[/tex]

Hence,

[tex]a_n=-1+7(n-1)\\\\a_n=-1+7(n)-7(-1)\\\\a_n=-1+7n-7\\\\a_n=7n-8[/tex]

Answer:

a = 132°

Step-by-step explanation:

this is a straight line and straight lines always measure up to 180°....so you subtract 48° from 180° and you get 132°

Answer:

132°

Step-by-step explanation:

We know that,

angles in a straight line are added upto 180°.

Accordingly,

[tex]48 + a = 180[/tex]

Subtract 48 by both sides and make a the subject.

[tex]a = 180 - 48 \\ a = 132 \degree[/tex]

Answer:

y = 6

Step-by-step explanation:

13.25 = 79.5 ( isolate y by dividing both sides by 13.25 )

y = 79.5 ÷ 13.25 = 6

Answer:

6/3x=30 = x= 15

Step-by-step explanation:

2x=30

(divide) ^

simplify, x=15

Answer:

the answer is x < 5

Step-by-step explanation:

-5x/-5 < -25/-5

Cancel terms that are in both the numerator and denominator

Divide the numbers
x < 5

Answer:

f ( 5, 2 )

h ( 4, -2 )

a ( 1,0 )

d ( -3, 5 )

Step-by-step explanation:

Assuming every point is one space.

We can find this by counting how far away it is form the origin for example f is 5 place right of the origin so x=5 and is above the origin two places so y=2. So (5,2) is the answer.

Answer:

19

Step-by-step explanation:

So first add the numbers and find sum. 15+18+24=57. Then you have to divide it by the number of numbers that are in the set which is 3. 57/3=19

Answer:

The mean is 19!

Step-by-step explanation:

The mean is 19!

It is assumed you are looking for the inequalities that the problem dictates.

Number of seats is at most 2500:

At least 1000 tickets must be priced at $15:

Total sales need to exceed $10,000:

So there is a system of 3 inequalities you need to solve.

Let me know if you need additional guidance on solving the system.

Answer:

25%

Step-by-step explanation:

5/20 = 1/4

1/4 x 100 = 100/4 = 25

(1 x 25)/(4x100) = 25/100

25%

Answer:

25%

Step-by-step explanation

5/20 = 1/4

1/4 x 100 = 100/4 = 25

(1 x 25)/(4x100) = 25/100

25%                                   Therefore They have lost 25% of there games

The quotient is  [tex]x-1+\frac{9}{x+6}[/tex]

The formula to calculate the division of two numbers is: Dividend ÷ Divisor = Quotient + Remainder. Here, The dividend is the number, which is being divided. The divisor is the number, which divides the number (dividend) into equal parts.

Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made. For example, dividing 15 by 3 means splitting 15 into 3 equal groups of 5.

In the above question we simply have to divide the dividend that is [tex]x^2+5x+3[/tex] with x + 6

and then we will get the quotient as x - 1 and remainder 9 .

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The most appropriate choice for cube and cube root of a number will be given by-

8000 is a perfect cube number because cube root of 8000 is an integer.

Second option is correct.

What is cube and cube root of a number?

Let the number be p. If we multiply p three times with itself ([tex]p \times p \times p[/tex]), then we get the cube of p.

If we take [tex]\frac{1}{3}[/tex] power of p ([tex]p^{\frac{1}{3}}[/tex]), we will get the cube root of p.

[tex]8000 = 2^6 \times 5^3[/tex]

On taking the cube root of 8000, we get

[tex]\sqrt[3]{8000} = 2^2 \times 5[/tex]

          [tex]= 20[/tex]

which is an integer.

So 8000 is a perfect cube number.

so, 8000 is a perfect cube number because cube root of 8000 is an integer.

Second option is correct.

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Maximum volume through the concept of maxima is 564.22 cm3.

What are maxima?

Volume of box=(50-2x)(10-2x).x

=4x^3-120x^2+500x

for maximum volume,

dv/dx=0

⇒12x^2-240x+500=0

⇒3x^2-60+14=0

x=17.63,2.36

d2v/dx2=24x-240

at x=2.36

d2v/dx2<0

∴x=2.36

v will be maximum

Maximum volume through the concept of maxima is 564.22 cm3.

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Answer:

1,560 miles

Step-by-step explanation:

[tex]\frac{130}{5} = \frac{x}{60}[/tex]

Solve for x.  Multiply both sides by 60 to get 1,560.

If He rides back home, taking the same route, on a bus that travels at a rate of 40mi/hr. The entire trip takes 3.5 hrs. How far along this route is Terrence’s house from the theater is : 50 mile.

Movie time = 2hrs and 15mins

Let convert the movie time

2hrs and 15mins = 2 15/60 h = 2 1/4 h = 2.25 h

Now let calculate the bus time and the distance

Bus time = Entire time - Walking time

Bus time = 3.5 h - 2. 25 h

Bus time =  1.25 h

Now let calculate the distance

Distance = Speed × Time

Distance =  40mi/hr ×  1.25 h

Distance = 50 mile

Therefore the distance is 50 mile.

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