i have 4 ounces. how many pounds do i have ?

Answer:

See explanation below

Step-by-step explanation:

If the base of a radical exponent is the same then the following properties hole and x≠ 0

\(\sqrt[n]{x}\) = \(x^{\frac{1}{n}\)   Rule 1

\(\frac{x^m}{x^n} = x^{m-n}\)   Rule 2

\((x^m)^n = x^{mn}\)   Rule 3

The numerator in the expression is

\(\sqrt[3]{x^2y^5} =(x^2)^\frac{1}{3} (y^5)^\frac{1}{3} = x^\frac{2}{3}} . y ^ \frac{5}{3}\)  Using rules 1 and 3

The denominator is

\(\sqrt[4]{x^3y^4} =(x^3)^\frac{1}{4} (y^4)^\frac{1}{4} = x^\frac{3}{4}} . y ^ 1}\) Using rules 1 and 3

Therefore the original expression in exponent form is

\(\frac{x^\frac{2}{3} y ^ \frac{5}{3}}{x^\frac{3}{4} y ^ 1}}\)  

Using rule 2 we get the final expression as

\(x^{\frac{2}{3}-\frac{3}{4}}$ $y^{\frac{5}{3}-1}\)

2/3 - 3/4 = 8/12 - 9/12 = -1/2

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

So the final expression is

\($x^{-\frac{1}{12}}y^{\frac{2}{3}}$\)

Proved

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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Answer:

false

Step-by-step explanation:

1/8 = .125

2/4 = .5

therefore 1/8 does not = 2/4

Answer:

I think it's C, but i am not sure about my answer

Answer:

6 x=2.

Step-by-step explanation:

i did it

Answer:

9 1/10th m/s2 :)

Step-by-step explanation:

The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...

Answer:

Step-by-step explanation:

1. Proportion.

\(\frac{3}{7.5}\)  =  \(\frac{1}{x}\)

2.Lets cross multiply.

\(3x=7.5\)

3.Solve

\(3x=7.5\\divide 3x -on- both-sides\\\\\)

________________

\(x=2.5\)

\(1=2.5\\1:2.5\)

Hope this helps :)

Answer:

15

Step-by-step explanation:

Change x to the declared value: \(5|6-9|\)

Subtract: \(5|6-9| = 5|-3|\)

NOTE: remember that little minus big = negative of big minus little.

i.e.: 6-9 = -(9-6) = -(3) = -3

Evaluate the Absolute Value: \(5|-3| = 5(3)\)

NOTE: remember that the absolute value of a number = the number's distance from 0 (always a positive number).

i.e.: |-2| = 2; |5| = 5

Multiply: \(5(3) = 15\)

The slope of the line passing through the two points \((1,2)\) and \((3,8)\) is \(\frac{3}{1}\) i.e. \(3\)

The formula for finding the slope when two points are given

\(y=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\y=\frac{8-2}{3-1} \\y=\frac{6}{2} \\y=\frac{3}{1}\\y=3\)

The slope of the line is \(3\)

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Answer:

9 hours

Step-by-step explanation:

if they came in at 7:30 a.m and leaves at 11:45 a.m they have been there for 4 hours and 15 minutes.

If they arrive at 12:30 p.m and leave at 5:15 p.m they have been there for 4 hours and 45 minutes

so in total they have been there for 9 hours

Answer:

The question is asking to complete the passage about the sum of angle of the exterior angles of an n-gon, one at each vertex, and i would say that it should be 360 degree.

Step-by-step explanation:

The closed form for the sum f(\Theta) is:
f(\Theta) = π/2 + (1/2)[sin(\Theta) - (1/3)sin(2\Theta) + (1/5)sin(3\Theta) - (1/7)sin(4\Theta) + ...]

To evaluate the sum f(\Theta) in closed form, we can use the formula for the sum of an infinite geometric series.

Let S be the sum of the series 1 + x + x^2 + x^3 + ..., where |x| < 1. Then,
S = 1/(1-x)

We can use this formula to express f(\Theta) as a sum of geometric series.
f(\Theta) = sin(\Theta) + 1/3sin(2\Theta) + 1/5sin(3\Theta) + 1/7sin(4\Theta) + ...

Notice that the coefficient of sin(k\Theta) is given by 1/(2k-1). Therefore, we can express f(\Theta) as a sum of infinite geometric series:
f(\Theta) = (1/(2-1))sin(\Theta) + (1/(2*2-1))sin(2\Theta) + (1/(2*3-1))sin(3\Theta) + (1/(2*4-1))sin(4\Theta) + ...

Using the formula for the sum of an infinite geometric series, we get:
f(\Theta) = sin(\Theta) + (1/3)sin(2\Theta) + (1/5)sin(3\Theta) + (1/7)sin(4\Theta) + ...
= Σ_{k=1}^∞ (1/(2k-1))sin(k\Theta)
= Im[Σ_{k=1}^∞ (1/(2k-1))e^{ik\Theta}]
= Im[Σ_{k=0}^∞ (1/(2k+1))e^{i(2k+1)\Theta}]
= Im[π/2 + (1/2)Σ_{k=1}^∞ ((-1)^k/(k^2-1))e^{ik\Theta}]
= π/2 + (1/2)[sin(\Theta) - (1/3)sin(2\Theta) + (1/5)sin(3\Theta) - (1/7)sin(4\Theta) + ...]

Therefore, the closed form for the sum f(\Theta) is:

f(\Theta) = π/2 + (1/2)[sin(\Theta) - (1/3)sin(2\Theta) + (1/5)sin(3\Theta) - (1/7)sin(4\Theta) + ...]

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Answer:

892

Step-by-step explanation:

All you have to do is plug in 3 for z

The given function is

The expression f(-16) means we have to evaluate the function when x = -16.

Therefore , the solution of the given problem of unitary method comes out to be music video cost =  $1.99.

After establishing the size of a little slice, multiply the quantity by two to complete a task utilizing unitary technique. Simply expression the unit technique serves to isolate a programmed thing from a certain set or sets of sets. For example, the price of 40 pens is 400 pounds ($1.01) or Rs. It's possible that one country will have total control over the method employed to do this. Almost every living creature has a distinctive quality. It can equally integrate and reciprocate (mathematics, algebra).

Here,

Given :

2  music videos , a TV series and a movie worth $42.95

Let x be the cost of  movie

From given information,

we can say

Cost of TV series  = 2x

So ,

equation comes out to be x = 12.99 for movie

So TV series cost = 2 * 12.99 = 25.98

So ,

=> 2 music videos + 25.98 + 12.99 = 42.95

=> 2 music videos + 38.97 = 42.95

=>  2 music videos = 42.95 - 38.97

=> music video cost = 3.98 /2

=> music video cost =  $1.99

Therefore , the solution of the given problem of unitary method comes out to be music video cost =  $1.99.

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Answer:

9.428 is the answer

Step-by-step explanation:

9.428 is answer

Answer:

the area = 28.3

Step-by-step explanation:

A=

\,\,\pi \cdot \color{red}{3}^{2}

π⋅3

2

\color{purple}{A}=

A=

\,\,\pi \cdot 9

π⋅9

Square 3

\color{purple}{A}=

A=

\,\,9\pi

9π

Commutative property of multiplication

\color{purple}{A}=

A=

\,\,28.27433388...

28.27433388...

Multiply, using the π button on your calculator

\color{purple}{A}=

A=

\,\,28.3

28.3

Round to the nearest tenth

Answer:

186

Step-by-step explanation:

x/200 = 0.93

x = 200(0.93)

x = 186

The number of problems that Indigo did answer correctly in the final exam is 186.

Given that:

Indigo earned a grade of 93% on her multiple-choice history final which had a total of 200 problems.

Total number of problems = 200

So, 100% grade = 200 problems

Let x be the number of problems which is answered correctly to get 93%.

Using the proportional concept,

\(\frac{x}{200} =\frac{93}{100}\)

Cross multiply,

100x = 93 × 200

Dividing whole by 100,

x = 93 × 2

x = 186

Hence, the number of problems that are answered correctly is 186.

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Answer:

\(( - {y}^{3} - y + 1) + ( - 7 {y}^{3} - 6y - 5) \\ = ( - 1 - 7) {y}^{3} - (1 + 6)y + (1 - 5) \\ = - 8 {y}^{3} - 7y - 4\)

The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

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the value of x is 1/4

Answer:

answer is c.

I got it right on edge

Function  S(x) = 12(3,000) + 0.025x (x ≥ 250,000) represents the annual salary for total sales of x dollars, where x is greater than $250,000. Option C is correct.

Given that,
A telemarketer earns a base salary of $3,000 per month, plus an annual bonus of 2.5% of total sales above $250,000.
To determine which function represents the annual salary for total sales of x dollars, where x is greater than $250,000.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
According to the question,
annual salary be S
S(x) = annual base salary + annual bonus earned
S(x) = 12 * 3000 + 0.025x (where x is > $250,000)

Thus, function  S(x) = 12(3,000) + 0.025x (x ≥ 250,000) represents the annual salary for total sales of x dollars, where x is greater than $250,000. Option C is correct.

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The equation of the line is x-y=0

What is point of intersection?

A point of intersection is a point where two lines intersect.

We are given the two equations as x-y=0 and x+y=0

The point of intersection can be given by finding the coordinates of which will satisfy both the equation

Now the equation can be solved by

The point of intersection is (0,0)

We have to find the equation of the line passing through the point (0,0),(2,2)

This can be done by

\(\frac{y-0}{0-2}=\frac{x-0}{0-2}\)

\(\frac{-y}{2}=\frac{-x}{2}\)

\(x-y=0\)

Hence the equation of the line passing through the point of intersection of x-y=0 and x+ y=0 and (2,2) The equation of the line is x-y=0

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Answer:

perimeter=6x+10

area=2x^2+2x-24

Step-by-step explanation:

perimeter=2x+8+x-3+2x+8+x-3

area=(2x+8)(x-3)

The volume of the solid of revolution is -6π or we can write it as 6π with a negative sign indicating that the solid is inverted or turned inside out.

we need to use the formula:

where a and b are the limits of integration and f(x) is the function being revolved around the axis.

In this case, the region bounded by f(x)=(4−x)^(-1/3) and the x-axis on the interval [0,4) is being revolved around the y-axis.

we have:

the volume of the solid of revolution is:

Simplifying the integral:

This integral can be evaluated using various integration techniques, such as substitution or integration by parts.

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The correct statement regarding whether Maple Street and Elm Street are parallel lines is given as follows:

Yes, because angles 1 and 2 are supplementary.

Parallel lines are two lines that do not intersect, or technically, intersect only at infinity.

In this problem, we have that angles 1 and 2 are supplementary angles, hence:

m<1 + m<2 = 180º

As the sum of the measures of supplementary angles is of 180º.

Then these two angles are classified as consecutive interior angles, meaning that Maple Street and Elm Street are parallel lines cut by the transversal River Drive.

Thus the second option is the correct option.

The situation is represented by the image shown at the end of the answer.

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Answer:

7.35

Step-by-step explanation:

Andrea uses 9.8 pints of white and blue paints to paint her bedroom walls

1/4 of this amount is white paint

= 1/4 × 9.8

= 0.25×9.8

= 2.45

Therefore the amount of blue paint can be calculated as follows

9.8-2.45

= 7.35

Hence 7.35 are blue paint

Answer:

83 degrees

Step-by-step explanation:

The angles 56 and 41 plus the one in between should add up to 180 degrees. So you do 180 - 56 - 41 = 83.

83 and x are vertical angles so they are the same measure.

<x = 83 degrees

hope this helps! :)

Answer:

about 30.9 feet

Step-by-step explanation:

Using the Pythagorean Theorem:

\( {l}^{2} + {10}^{2} = {32.5}^{2} \)

\( {l}^{2} = 956.25\)

\(l = 30.9\)

Hey there!

1,000:

= 2 × 2 × 2 × 5 × 5 × 5

= 4 × 2 × 5 × 5 × 5

= 8 × 5 × 5 × 5

= 40 × 25

= 1,000

180:

= 2 × 2 × 3 × 3 × 5

= 4 × 3 × 3 × 5

= 12 × 15

= 180

LOOKING FOR THE LCM (Lowest Common Multiple)

(1,000 × 180) ÷ 20

= 180,000 ÷ 20

= 9,000

[Answer: 9,000]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)