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From radiciation properties:

\(\large{A^{\frac{P}{Q}}=\sqrt[Q]{A^P}}\)

bringing to our problem

\(\large{6^{\frac{1}{3}}=\sqrt[3]{6^1}}\)

The requried radical form of the given expression is ∛6.

Radical form is mathematical expression that represents the value under the nth roots.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Following the rule \(\sqrt[n]{x} = x^{1/n}\)
Similarly,
\(6^{1/3} = \sqrt[3]{6}\)

Thus, the requried radical form of the given expression is ∛6.

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Step-by-step explanation:

when thuong real estate sold kate's house, she was charged in commission of $4,000. If the house sold for $80,000, what percent commission did the real estate company charge?

4,000 / 80,000 = 0.05

0.05 = 5% commission

Nigeria's predicted population in 2020 is 208 million, rounded to the nearest million.

Relative change, also known as percent change, is a measure of the percentage increase or decrease in a quantity over time. In the context of population, relative change refers to the percentage change in the size of a population over a given period.

To calculate relative change in population, you would take the difference between the final population size and the initial population size, divide by the initial population size, and multiply by 100 to get the percentage change.

To find the relative change in Nigeria's population over the decade from 2000 to 2010, we use the formula:

Relative change = (new value - old value) / old value

Relative change in Nigeria's population from 2000 to 2010:

= (160 - 123) / 123

= 0.300813

So Nigeria's population increased by approximately 30.08% over the decade from 2000 to 2010.

To predict Nigeria's population in 2020, we apply this same relative change to the 2010 population:

Population in 2020 = Population in 2010 + (Relative change × Population in 2010)

Population in 2020 = 160 + (0.300813 × 160)

Population in 2020 = 160 + 48.13008

Population in 2020 = 208.13008 million

Rounding this to the nearest million, we get:

Population in 2020 = 208 million

Therefore, Nigeria's predicted population in 2020 is 208 million, rounded to the nearest million.

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Answer:

2/5

Step-by-step explanation:

Add up everything which would be 15, then put the number of ovens their was as the numerator. Then you'd have 6/15 so then just simplify!

Since a= 10, we know that b = 4a - 5

 --> b = 4(10) - 5 = 40 - 5 = 35

By looking at the table at the left, the value of of c that goes with a when a = 10 is

--> 19.

So b = 35 and c = 19.

Hope that helps!

The number of different necklaces that Ginger can make, with the same ratio of pink to white beads is 5 necklaces.

To find the number of necklaces, find the smallest equivalent ratio of pink to white beats used to make the necklace.

Pink beads : White beads

30 : 35

( 30 / 5 ) : ( 35 / 5 )

6 : 7

To find the find the number of beads, divide the number of pink beads available by the number of pink beads in the ratio:

= 30 / 6

= 5 necklaces

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Answer:

The Pythagorean Theorem establishes a remarkable relationship between the sides. of any right triangle. This theorem was proved by the Greek geometer Pythagoras. (Pythagoras of Samos), who lived from about 570 B.C. to about 475 B.C., and is. named after him.

The correct answer is "formulate H0 and H1." This comparison helps determine whether there is sufficient evidence to reject the null hypothesis and support the alternative hypothesis.

When testing a hypothesis, the first step is to clearly define the null hypothesis (H0) and the alternative hypothesis (H1). The null hypothesis represents the assumption of no effect or no difference, while the alternative hypothesis represents the hypothesis you are trying to support, which typically suggests the presence of an effect or a difference.

After formulating the hypotheses, the subsequent steps in hypothesis testing are as follows:

Collect data and calculate test statistics: Gather relevant data through observations, experiments, or surveys. Then, analyze the data and calculate the appropriate test statistic based on the nature of the hypothesis being tested. The test statistic depends on the specific hypothesis test being used.

Select an appropriate test: Choose a statistical test that is most suitable for the type of data and the research question at hand. The selection of the test depends on factors such as the nature of the data (continuous or categorical), the number of groups being compared, and the assumptions associated with the test.

Choose the level of significance: Determine the desired level of significance (alpha level) for the hypothesis test. The level of significance represents the maximum probability of incorrectly rejecting the null hypothesis. Commonly used alpha levels are 0.05 (5%) or 0.01 (1%), but it can vary depending on the context and the consequences of making Type I errors.

After completing these steps, further analysis involves comparing the calculated test statistic to the critical value or p-value associated with the chosen level of significance. This comparison helps determine whether there is sufficient evidence to reject the null hypothesis and support the alternative hypothesis.

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A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.

Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.

A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.

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Answer:

Gross Income = $ 43400

Adjusted Gross Income=$40500

Taxable Income = $33840

Step-by-step explanation:

given that-

Income paid to man

Wages = $41,500

Savings Interest = $1900

Tax Def Contribution=$2900

Deductions= $6660

personal exemption =$4050

Gross Income = Income paid to man = 41500 + 1900 = $ 43400

Adjusted Gross Income = Income - Tax Def Contribution =  $43400-$2900=$40500

Taxable Income = AGI - Deductions  = 40500 - 6660 = $33840

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Ms. Diaz's correct balance is $745.91, not the $845.91 she claims. All transactions and balances to avoid errors in account management.

Ms. Diaz's correct balance can be found by taking into account the transactions that occurred after the end of September. The starting balance at the end of September is $623.41. From this, we need to subtract the amount of the checks she wrote and add the amount of the deposit she made.

Ms. Diaz wrote two checks, one for $149.00 and another for $27.50. We can subtract these amounts from her balance at the end of September:

$623.41 - $149.00 - $27.50 = $446.91

This is Ms. Diaz's balance after the checks were written. However, she also made a deposit of $299.00 after writing the checks. We can add this amount to her balance:

$446.91 + $299.00 = $745.91

Therefore, Ms. Diaz's correct balance is $745.91, not the $845.91 she claims.

It is important to keep track of all transactions and balances to avoid errors in account management. Checking account balances regularly and reconciling bank statements can help ensure accurate accounting.

In summary, to find Ms. Diaz's correct balance, we need to take into account the transactions that occurred after the end of September. Ms. Diaz's starting balance at the end of September is $623.41. From this, we subtract the amounts of the checks she wrote and add the amount of the deposit she made. After calculating these transactions, we find that Ms. Diaz's correct balance is $745.91, not the $845.91 she claims.

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Answer:

Step-by-step explanation:

The 2 angles with x in them are complementary. They add to 90. This is a right triangle.

3x - 14 + 2(3x - 6) = 90       Remove the brackets.

3x - 14 + 6x - 12 = 90          Combine

9x - 26 = 90                        Add 26 to both sides.

9x = 116                               Divide by 9

9x/9 = 116/9

x = 12.89

Answer:

4.4 * \(10^{6}\)

Step-by-step explanation:

Answer:

4.4 x 10^6

Step-by-step explanation:

The decimal in scientific notation needs to be less than 10, so in this case the decimal has to be 4.4.

After you place the decimal you should have, 4.400000.

Count how much decimal spaces you have to jump in order to get to the end of the number overall, in this case, it is 6 to the 10th power.

So the answer would be, 4.4 x 10^6  

Answer:

0.96

Step-by-step explananation

stack the two numbers ontop of each other and it will be easier to do the multiplacation

The given number is

The scientific notation of the number is,

So, approximately, the main entrance and the kitchen are 4.47 yards apart by distance equation.

The distance formula is used to calculate the distance between two points in a coordinate plane. The formula is based on the Pythagorean theorem and involves finding the square root of the sum of the squares of the differences in the x-coordinates and the y-coordinates of the two points.

In this case, we are given two points: (-9, 8) and (-5, 6). To find the distance between these two points, we can plug the coordinates into the distance formula, which gives us:

distance = √[(x2 - x1)² + (y2 - y1)²]

where x1 and y1 are the coordinates of the first point and x2 and y2 are the coordinates of the second point.

Plugging in the given coordinates, we get:

distance = √[(-5 - (-9))² + (6 - 8)²]

which simplifies to:

distance = √[4² + (-2)²]

The square of 4 is 16, and the square of -2 is also 4 (since the negative sign is squared away), so we can simplify further:

distance = √[16 + 4]

distance = √[20]

Finally, we take the square root of 20 to get the distance:

distance ≈ 4.47 yards.

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The graph of y = x(x² - 2)(x² + x + 1) intersects the x-axis in three different points.

The answer is (C) Three.To determine the number of points where the graph of the equation y = x(x² - 2)(x² + x + 1) intersects the x-axis, we need to find the x-values that make the equation equal to zero.

Setting y = 0, we have:

0 = x(x² - 2)(x² + x + 1)

Since the product of three factors is zero, at least one of the factors must be zero.

1. Setting x = 0:

0 = 0(x² - 2)(x² + x + 1)

This gives us one solution: x = 0.

2. Setting x² - 2 = 0:

x² = 2

Taking the square root of both sides:

x = ±√2

This gives us two additional solutions: x = √2 and x = -√2.

3. Setting x² + x + 1 = 0:

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 1, b = 1, and c = 1. Substituting these values into the quadratic formula:

x = (-1 ± √(1² - 4(1)(1))) / (2(1))

Simplifying:

x = (-1 ± √(-3)) / 2

Since the discriminant is negative, there are no real solutions for this quadratic equation.

In summary, we have found three different x-values where the equation intersects the x-axis: x = 0, x = √2, and x = -√2.

Therefore, the graph of y = x(x² - 2)(x² + x + 1) intersects the x-axis in three different points. The answer is (C) Three.

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Answer:

26 in²

Step-by-step explanation:

Area of a triangle

a = (1/2)base * height

base = 10 + 3 = 13

a = (1/2)(13) * 4

a = 26

Answer:

$7.1875

Step-by-step explanation:

$28.75 x .25=7.1875

Answer:

8+21x one

6+18x one

and the 4x-6 one have on solutions

Answer:

(t x 361) - 82 = 98

Step-by-step explanation:

product: multiplication

Decreased: subtraction

Answer:

(-5)-4(0.5)=-7

Step-by-step explanation:

(-5)-4(0.5)=-7

-5-2=-7

-7=-7

Using three equal subintervals and a right riemann sum, left riemann sum, and a midpoint sum is -6.4, 3.8, -1.0.

1) Integral with left end points:

         A-left = -3.4*2 + (-0.6)*2 + 0.8*2 = -6.4

2) Integral with right end points:

        A-right = -0.6*2 + 0.8*2 + 1.7*2 = 3.8

3) Integral with midpoints:

         A-mid = -2.2*2 + 0.2*2 + 1.5*2 = -1.0

A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.

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Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Recall that absolute value is the positive of a real number so

|-5| = 5

This added to 2 gives 7

The area of the figure composed of the square and four semicircles is approximately 242.4 square units.

A semicircle is a two-dimensional geometric shape that is half of a circle. It is formed by drawing a diameter of a circle and then drawing the arc that connects the two endpoints of the diameter. The diameter divides the circle into two equal parts, each of which is a semicircle.

A semicircle has several important properties, including:

It has one straight side, which is the diameter of the circle.

The other side is curved, and it is a half-circle.

The radius of the semicircle is equal to half the diameter of the circle.

The circumference of a semicircle is half the circumference of the circle.

The area of a semicircle is half the area of the circle.

Semicircles are used in many applications of geometry and trigonometry, including in the study of angles, arcs, and circles. They are also used in architecture and engineering to design buildings, bridges, and other structures that have semicircular features.

In addition to being a geometric shape, a semicircle can also refer to a half-circle that is used as a decorative element or design motif. Semicircles are often used in art, architecture, and graphic design to create visually interesting patterns and compositions.

To find the area of the figure composed of a square and four semicircles, we need to first find the area of the square and the area of the four semicircles. Then, we can subtract the area of the four semicircles from the area of the square to get the total area of the figure.

The area of the square is simply the side length squared, so in this case it is:

Area of square = (22)^2 = 484 square units

The diameter of each semicircle is equal to the side length of the square, so the radius is half of that or 11 units. Therefore, the area of each semicircle is:

Area of semicircle = (1/2) * π * r^2 = (1/2) * π * 11^2 = 60.4 square units

Since there are four semicircles, the total area of the four semicircles is:

Total area of semicircles = 4 * Area of semicircle = 4 * 60.4 = 241.6 square units

To get the area of the entire figure, we need to subtract the area of the four semicircles from the area of the square:

Area of figure = Area of square - Total area of semicircles

Area of figure = 484 - 241.6 = 242.4 square units

Rounding this to the nearest tenth gives:

Area of figure = 242.4 (rounded to the nearest tenth)

Therefore, the area of the figure composed of the square and four semicircles is approximately 242.4 square units.

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The expected value of the winnings from this game is $3.24.

To find the expected value of the winnings, we multiply each payout by its corresponding probability and then sum up the results. Let's calculate it step by step:

Payout ($) Probability Payout x Probability

2 0.64 1.28

4 0.18 0.72

6 0.12 0.72

8 0.04 0.32

10 0.02 0.20

Now, let's sum up the values in the "Payout x Probability" column:

1.28 + 0.72 + 0.72 + 0.32 + 0.20 = 3.24

Therefore, the expected value of the winnings from this game is $3.24.

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Answer:

10)

11x-1+20x-3=151 (the exterior angle of an triangle is equal to the sum of two opposite interior angles)

31x-4=151

31x=151+4

31x=155

x=155/31

x=5°

11)

14x-13=4x+13+6x+2

14x-4x-6x=13+13+2

4x=28

x=28÷4

x=7°

Answer:

Step-by-step explanation:

Write an expression to find the perimeter of

the rectangle below:

rectangle perimeter = (w + l) *2

(4x+2-x) * 2 =

Answer:

4/100=2/50=1/25=0.04 .........