cube root of 0.000729​

The function g(x) = −3x + 4, after putting the values we find out that the value of g(-2) is greater than the value of g(4). Hence, option 4 is correct.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for creating physical links in the sciences.

According to the given information in the question,

g(x) = -3x + 4

Substitute g(-2) in the above equation,

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

g(-2) = 10

Now, substitute g(4) in the above equation,

g(4) = -3(4) + 4

g(4) = -8

Hence, it is clear that the value of g(-2) is larger than the value of g(4).

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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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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:

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.

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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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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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.

The magnitude of the bicyclist's resultant vector is 12.5 km.

Given that, a bicyclist rides 11.2 kilometers east and then 5.3 kilometers south.

A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction.

Now, using Pythagora's theorem

The magnitude of the bicyclist's resultant vector is

x² = (11.2)² + (5.3)²

⇒ x² = 125.44 + 28.09

⇒ x² = 153.53

⇒ x = √153.53

⇒ x = 12.47

⇒ x ≈ 12.5 km

Therefore, the magnitude of the bicyclist's resultant vector is 12.5 km.

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Answer:

12.4 km (nearest tenth)

Step-by-step explanation:

The resultant vector of the bicyclist after riding 11.2 km east and then 5.3 km south is:

The magnitude of a vector b is written | b |.

Magnitude is a scalar, and it’s always positive.

The i and j components of a vector form a right triangle, so use Pythagoras’ theorem to find a vector’s magnitude.

[tex]\begin{aligned} |\textbf{b}|&=\sqrt{11.2^2+5.3^2\\&=\sqrt{125.44+28.09\\&=\sqrt{153.53}\\&=12.4\; \sf (nearest\;tenth)\end{aligned}[/tex]

Therefore, the magnitude of the bicyclist's resultant vector is 12.4 km (nearest tenth).

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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Answer:

Replace the variable x with -2 in the expression

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

f(-2) = -8+3

f(-2) = -5 (final answer)

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:

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.

Answer:

tuition expenses

Step-by-step explanation:

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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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:1223 pounds?

Step-by-step explanation:

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]

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:

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:

See below

Step-by-step explanation:

450 is 1 standard deviation above mean :  z - score +1 corresponds to

 .8413   (from z-score table)

500 is 2 S.D.  for z-score of 2  corresponds to .9772

.9772 - .8413  = .1359    or 13 . 59 %

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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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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Answer:

just guess but it might be c

Answer: 34.196 x 10^6

Answer: ~ 5.45 m

Step-by-step explanation: The pole would create an altitude for the triangle, and the wire attached from the ground to the pole would be create a hypotenuse of 12m. Since the wire makes a 63 degree angle with the ground, we can use a trig ratio to find the base. The base of the triangle would be the distance from the wire in the ground to the pole itself. Using cosine, (adjacent to 63 degrees over 12m) you can find the measure of the base.

cos (63 deg.) = x / 12

12 • cos (63 deg.) = x

5.44788599687 = x.

Hope this helps! (Added pic for clarity!)

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!

Answer:

r = 9

Step-by-step explanation:

6 × (r × 3) = 3 × (6 × 9) , that is

6 × 3r = 3 × 54

18r = 162 ( divide both sides by 18 )

r = 9

b times 8 can be written as

Answer:

6/3x=30 = x= 15

Step-by-step explanation:

2x=30

(divide) ^

simplify, x=15