Pleaae helppppppppppp

The simplified expression for \($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\) is equal to 3.

We can write the simplified form of the given expression using the exponent rule as -

{aˣ/aⁿ} = {aˣ a⁻ⁿ} = {aˣ ⁻ ⁿ}

Given is the expression as -

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\)

We can simplify the expression as -

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = (27)^{\frac{1}{2} \times \frac{2}{3} }\)

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = 27^{\frac{1}{3} }\)

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = (3)^{3}^{\frac{1}{3} }\)

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = 3\)

Therefore, the simplified expression for \($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\) is equal to 3.

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If the sum of the balls is less than or equal to 9, purchase Choco Delight. If the sum is greater than 9, purchase Go Nuts.

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Explanation:

Use a spreadsheet or graph paper, to make a table with 5 rows and 5 columns. Label the headers as 1,2,5,7,10

Cross out the northwest main diagonal and everything below it. The cells not crossed out represent the different combos of sums possible.

Here's all of those combos:

The sums, listed from smallest to largest, are: {3,6,7,8,9,11,12,12,15,17}

I kept the duplicate in there to show there are 10 sums we can reach.

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Let's break things into two groups. We'll have stuff that's 9 or smaller in one group, and then stuff larger than 9 in another group.

Each group has the same number of values (5), which means this is a fair way to determine what kind of candy bar to pick. Each group is equally likely to be chosen. It's equivalent to a coin flip. This is why choice A is the final answer.

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Choices B through D lead to some imbalance which means it won't be a fair process. They can be ruled out.

For example, choice C will have these two groups

The first group has 6 values and the second group has 4 values. I'll let you check the others.

Answer:

125%

Step-by-step explanation:

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Answer:

. With each 9s fact you add another 9, which means you go straight down a row and back one space. This creates a diagonal pattern in the grid.

Step-by-step explanation:

The number 99 is divisible by 9 . The number 999 is divisible by 9 , and so on. Any number that is a string of nines is divisible by 9 as it is 9 multiplied by a string of ones. This adds one to the sum of its digits, but you wind up with a number one more than a multiple of 9.

have a nice day and sorry f it is wrong >< T_T

In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.

The question can be interpreted that the particular number has the same digit  which is seen in hundreds place  hence  hundredths place.

we can then represent the digit  as '1'.

The value of number's hundreds place can be represented as  100

we can as well represent the number's hundredths place as 0.01

the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000

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missing options:

A. 100,00

B. 100

C. 1,000

D. 10,000

The results show that the most common response was access, with 27% of the respondents choosing it as the most urgent health problem.

Cost came in second place, with 20% of the respondents choosing it. Obesity and cancer followed closely behind, with 14% and 13% of the respondents choosing them, respectively. Government interference and the flu were the least common responses, with only 3% and less than 0.5% of the respondents choosing them, respectively.

The margin of sampling error for the poll is ±4 percentage points, which means that if the poll was conducted multiple times, 95% of the time, the results would be within 4 percentage points of the actual population values.

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In a sample size of 75 people in the Boomer Generation, proportionately, the estimated number of people who prefer to shop in-store is 63.

Proportion shows the relative number of objects or people in the whole.

Proportions are ratios equated to each other.

They are expressed as fractional values, in decimals, percentages, and fractions.

The percentage of Boomers who want to shop in-store = 84%

The sample size of the Boomer Generation = 75

The estimated number of Boomers in the sample size who want to shop in-store = 63 (75 x 84%)

Thus, 63 Boomers representing 84 percent of 75 want to shop in-store.

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Answer:

3/4 or in mixed number 1 13/28

Step-by-step explanation:

Answer:

Expression : $462.30 * m

Answer:

D

Step-by-step explanation:

Because whee your finding the Grange of a fundtlon you Look at the Y value from the smallest Number to the largest Number.

Answer:

1.731 meters squared

Step-by-step explanation:

Look at the image for reasoning

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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Answer:

For the given graph the constant of proportionality is 6.

Step-by-step explanation:

Answer:

  (a)  p = 6

Step-by-step explanation:

You want the constant of proportionality if the point (1/2, 3) lies on the graph of the relationship.

The equation for a proportional relationship is ...

  y = px

The value of p can be found as ...

  p = y/x . . . . . divide by x

For the given relationship, the point (x, y) = (1/2, 3) tells ...

  p = 3/(1/2) = 3·(2/1) = 6

The constant of proportionality is p = 6, matching choice A.

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The mean of the test is 20.

To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.

Let's denote the mean of the test as μ, and the standard deviation as σ.

We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:

29 = μ + 3σ

Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:

23 = μ + σ

Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.

From the second equation, we can isolate μ:

μ = 23 - σ

Substituting this value into the first equation, we have:

29 = (23 - σ) + 3σ

Simplifying the equation, we get:

29 = 23 + 2σ

2σ = 29 - 23

2σ = 6

σ = 3

Substituting the value of σ back into the second equation, we find:

μ = 23 - 3

μ = 20

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We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.

In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:

150 = l × 10

Dividing both sides by 10, we get:

15 = l

Therefore, the length of the rectangle is 15 meters.

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After answering the presented question, we can conclude that As a radius result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).

In more modern parlance, the length of a circle or sphere is the same as its radius in classical geometry, which is one of the line segments from its centre to its circumference. The term was derived from the Latin word radius, which also refers to the spokes of a waggon wheel. The radius of a circle is the distance between its centre and any point on its periphery. It is usually denoted by "R" or "r." A radius is a line segment with one endpoint in the centre and one on the circle's circumference. The radius of a circle matches its diameter. The diameter of a circle is the segment that passes through its centre and has ends on the circle.

The formula for the volume of a sphere of radius "r" is:

V = (4/3)πr³

Substituting the specified radius value (r = 11 cm), we get:

V = (4/3)π(11)³ \sV = 5575.279 cm³

Now we must compute the weight of the titanium sphere, which can be found by multiplying its volume by its density:

Density = Volume Weight

Weight = 25121.811974 g Weight = 5575.279 cm3 4.506 g/cm3

When we divide 1000 by 1000 to convert grammes to kilogrammes, we get:

The weight is 25.121811974 kg.

As a result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).

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No. The proof is wrong.

Here we are asked to prove all Natural numbers are either even or odd.

Natural numbers start from 1 to infinity.

Hence to prove by mathematical induction, we need to take the base case to be n = 1.

here, 1 = 2X0 + 1, therefore 1 is odd

Then we need to assume that for any integer m < n, m is either even or odd.

Now n > 1

Therefore,

n -1 > 0

Hence n - 1 will be a natural number.

Hence by our earlier assumption where any number smaller than is either even or odd

n - 1 has to be either even or odd.

case 1

here n - 1 is odd

if n - 1 is odd then

n-1  + 1 is a sum of two odd numbers, hence n is even

Case 2- If n - 1 is even

then, n-1  +  1 is a sum of an even and n odd number hence n is odd

Therefore n will either be even or odd.

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Answer:

See below

Step-by-step explanation:

√120 is irrational since it cannot be written as a fraction

√36 is rational because it can be written as 6 or -6 which are both rational

7 is rational because it can be written as a fraction (ex. 7/1, 14/2, 21/3, etc.)

10 is rational because it can be written as a fraction (ex. 10/1, 20/2, 30/3, etc.)

148 is rational because it can be written as a fraction (ex. 148/1, 296/2, 444/3, etc.)

781 is rational because it can be written as a fraction (ex. 781/1, 1562/2, 2343/3, etc.)

The Lagrange error bound shows that |f(x) - P(x)| ≤ (1/20) * |x-1|^4 and since g(x) = f(x) - P(x) has a local minimum in the interval (0,1) that is less than zero, it follows that f(0) is negative.

The Lagrange form of the remainder in the Taylor series expansion of a function f about x = a is given by:

R_n(x) = (f^(n+1)(c))/(n+1)! * (x-a)^(n+1)

where c is some number between x and a.

In this problem, we are given the third-degree Taylor polynomial for f about x=1 as,

P(x)=6−5(x−1)^2+4(x−1)^3

To find an upper bound for the error between P(x) and f(x) on the interval [0,1], we need to find an upper bound for |f^(4)(x)| on this interval.

Given that |f^(4)(x)| ≤ 6 for all x on the interval [0,1], we can use the Lagrange error bound formula to estimate the maximum possible error between P(x) and f(x) on this interval:

|f(x) - P(x)| ≤ (M/(n+1)) * |x-a|^(n+1)

where M is an upper bound for the absolute value of the (n+1)th derivative of f on the interval [a,x].

For the given problem, we have n=3, a=1, and M=6, so the Lagrange error bound formula becomes:

|f(x) - P(x)| ≤ (6/4!) * |x-1|^4 = (1/20) * |x-1|^4

Consider the function g(x) = f(x) - P(x). If g(0) is negative, then we are done. Otherwise, we need to show that g(x) has a local minimum in the interval [0,1] that is less than zero.

Taking the first derivative of g(x),

g'(x) = f'(x) - P'(x)

Taking the second derivative of g(x),

g''(x) = f''(x) - P''(x)

Since P(x) is a third-degree polynomial, its second derivative is a constant, which is 20.

g''(x) = f''(x) - 20

Since g''(x) is the difference between f''(x) and a positive constant, it follows that g''(x) is negative whenever |f''(x)| < 20.

Since |f''(x)| ≤ 6 for all x in the interval [0,1], it follows that g''(x) is negative on this interval. Therefore, g(x) has a local maximum at x=0 and a local minimum at some x in the interval (0,1). Since g(0) is positive and g(x) approaches zero as x approaches 1, it follows that g(x) must have a local minimum in the interval [0,1] that is less than zero.

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Answer:

It’s 2.07 pounds/in 3

Step-by-step explanation:

1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces

The correct answer is (C) the total number of rolls sold (small and large).

What are algebraic equations?

An algebraic equation is a mathematical expression that includes one or more variables and mathematical operations such as addition, subtraction, multiplication, and division. The equation asserts that two expressions are equal.

The goal in solving an algebraic equation is to determine the value(s) of the variable(s) that make the equation true. Algebraic equations are used to solve problems in various fields such as physics, engineering, economics, and finance.

In the equation 3s + 135 = 4.5(s + 10), the expression (s + 10) represents the total number of rolls sold (small and large).

To see why, let's break down the equation:

3s represents the total amount earned from selling small rolls (since the

club earns $3.00 for every small roll sold).

4.5(s + 10) represents the total amount earned from selling all the rolls (small and large). The (s + 10) part represents the total number of rolls sold, since the club sold 10 more large rolls than small rolls, which is represented by adding 10 to the number of small rolls sold (s).

Therefore, the correct answer is (C) the total number of rolls sold (small and large).

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Answer:

A: 1800h-25,000

B: Yes, he would have time.

Step-by-step explanation:

A:

Lets turn 30 gallons/minute into hours so we can make it easier.

18000h-25000

Then plug in h which is hours. To get your answer

B:

From May 7 at 8:00 a.m. to May 8 at 12 p.m. would be 28 hours.

So we plug in 28 for h and get our answer of 25400 gallons/hour

Answer:

Hi, the volume of a cone is

V= πr²h/3

hope it helps you (•‿•)

Answer:

is there an image?

Step-by-step explanation:

if no then i guess B

Answer:

The real and imaginary parts of the result are \(\frac{1441}{1601}\) and \(\frac{4}{1601}\), respectively.

Step-by-step explanation:

Let be \(f(z) = \frac{z}{z+1}\), the following expression is expanded by algebraic means:

\(f(z) = \frac{z\cdot (z-1)}{(z+1)\cdot (z-1)}\)

\(f(z) = \frac{z^{2}-z}{z^{2}-1}\)

\(f(z) = \frac{z^{2}}{z^{2}-1}-\frac{z}{z^{2}-1}\)

If \(z = 4 - i5\), then:

\(z^{2} = (4-i5)\cdot (4-i5)\)

\(z^{2} = 16-i20-i20-(-1)\cdot (25)\)

\(z^{2} = 41 - i40\)

Then, the variable is substituted in the equation and simplified:

\(f(z) = \frac{41-i40}{41-i39} -\frac{4-i5}{41-i39}\)

\(f(z) = \frac{37-i35}{41-i39}\)

\(f(z) = \frac{(37-i35)\cdot (41+i39)}{(41-i39)\cdot (41+i39)}\)

\(f(z) = \frac{1517-i1435+i1443+1365}{3202}\)

\(f(z) = \frac{2882+i8}{3202}\)

\(f(z) = \frac{1441}{1601} + i\frac{4}{1601}\)

The real and imaginary parts of the result are \(\frac{1441}{1601}\) and \(\frac{4}{1601}\), respectively.

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

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Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w: