Which expression is the completely factored from x^3+8y^6? (x+2y^2)^3​

Using the ratios, 1 yd/3 feet, 1 mi/5,280 feet, and 200 yards/1 feet, the number of flags required to mark the racecourse with a flag every 200 yards is 22.

Ratios are relative sizes of one quantity or value compared to another.

Ratios are depicted as fractional values using decimals, percentages, or fractions, including the standard ratio form (:).

The total distance of the racecourse = 2.5 miles

The common distance between each flag = 200 yards

1 mile = 1,760 yards

2.5 miles = 4,400 yards

1 yard = 3 feel

The number of flags required to cover the distance = 22 (4,400 ÷ 200)

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Answer:

Combine like terms calculator is a free online tool which can help to combine like terms in an equation and simplify the equation. This is a handy tool while solving polynomial equation problems as it makes the calculations process easy and quick.

Steps to Use the Combine Like Terms Calculator

This tool is a very simple tool for combining like terms. Follow the given steps to use this tool.

Step 1: Enter the complete equation in the first input box i.e. across “Enter Terms:”

Step 2: Click on “Combine Like Terms”.

Step 3: After clicking on “Combine Like Terms”, a new window will appear where all the like terms will be simplified.

What are Like Terms in an Equation?

In an equation, like terms refer to the terms which are having equal powers. For example, x2 and 2x2 are like terms. Similarly, 3x3 and 54x3 are like terms.

For an equation, 2x2 + 13 + x2 + 6, the “Combine Like Terms Calculator” calculator will give the output as 3x2 + 19.

Hope this helps!! The answer and explanation are as shown above:))

Answer:

12 ft

Step-by-step explanation:

we know the areas of the 2 top squares.

the area of a square is simply the square of its side length.

=>

81 ft² means side length is 9 ft.

225 ft² means side length is 15 ft.

these are also 2 of the sides of the right triangle.

the third side we get by using Pythagoras :

c² = a² + b²

with c being the side opposite of the 90 degree angle.

so,

225 = 81 + x²

as x is also the third side of the triangle.

=> 144 = x²

x = 12 ft

Answer:

The block of code inside the if statement is executed is the condition evaluates to true.

Step-by-step explanation:

The central angle of Bathing = 108 degrees.

In the given pie chart,

Since we know,

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.

The whole circle is 360 degrees

which represents 100%.

It is given that,

Bathing = 30%

So have need to find 30% of 360 degrees.

Therefore,

Bathing = (30/100)x360

            =  (30/10) x 36

            = 3x36

            = 108

Hence,

The central angle = 108 degrees.

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The complete question is:

To the nearest degree, what is the measure of the central angle for bathing?

Answer:

the mark up would be $18. so the total sales price would be $48.

Step-by-step explanation:

The percentage error by calculating by differentials to approximate value of sqrt(99.4) = 0.00045 percentage.

For   percentage error Here first we have to find the value of sqrt(99.4) by  normal calculation and second we will calculate it by differential method then we will find the percentage error .

To approximate sqrt(99.4)  we will  use formula for linear approximation as given below  

f(x) = f(c) + f′(c)(x−c)

and we are dealing with square root so we have to find the f(x) ad here

f(x) = √x

and we will calculate  f'(x)  and here it is

f'(x) = 1/(2√x)

Here, x=99.4 and we choose c =100 because that’s the closest perfect square number to 99.4. so

f(c) = f(100) = √100 = 10

f'(c) = f'(100) =1/(2√100) = 1/20

f(x) =f(c) + f′(c)(x−c)

f(x) = f(99.4)=f(100)+f'(100)(99.4-100)

=10+1/20*(-0.6)

=9.97

Here we find the value by differential = 9.97

and by simple calculation the value is = 9.96995486

ans percentage error = (real value - differential value)/100

= (9.96995486-9.97)/100 = 0.00045 percentage

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Answer:

x= - 1

Step-by-step explanation:

We have the following:

multiply:

Step-by-step explanation:

a= c-b pls let me know if it is correct or not

(a) √2 · √8. The simplified surd expression is 4.

(b) √80. The simplified surd expression is  4√5.

(c) √5/√20. The simplified surd expression is  1/2.

(d) √20. The simplified surd expression is  2√5.

The given surd expression is simplified as follows;

(a) √2 · √8

we can simplify it as;

√2 · √8 = √(2 x 8) = √16 = 4

(b) √80

we can simplify it as;

√80 = √ (16 x 5) = √16  x √5 = 4√5

(c) √5/√20

we can simplify it as;

√5/√20  x  √20 / √20

= (√5  x √20 ) /(20)

= √100 / 20

= 10/20

= 1/2

(d) √20

we can simplify it as;

√20 = √4  x √5 = 2√5

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Reorder from least to greatest.

4, 4, 6, 6, 6, 8, 10, 15, 15

                /\

                 |

Median is the middle number.

This would be 6.

---

hope it helps

The Surface area of Triangular Prism is 132 cm².

We have have the dimension of prism as

Sides = 3 cm, 4 cm, 5 cm

and, l = 10 cm

and, b= 4 cm

Now, Surface area of Triangular Prism as

= (sum of sides) l + bh

= (3 + 4 + 5)10 + 4 x 3

= 12 x 10 + 12

= 120 + 12

= 132 cm²

Thus, the Surface area of Triangular Prism is 132 cm².

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Discuss measures that can be taken to develop the spirit of hard work

x=5

steps

they are vertical angles

they are equal

4x+90=110

4x=20

x=5

Answer:

Step-by-step explanation:

9900

Answer:

Step-by-step explanation:

Using the compound interest formula to calculate the amount compounded after 10years.

\(A = P(1+r)^{nt}\)

P = principal  = $2000

r = rate (in %) = 5.6%

t = time (in years) = 10years

n = 1year = time used in compounding

\(A = 2000(1+0.056)^{10} \\A = 2000(1.056)^{10}\\A = 2000*1.7244046\\A = 3448.81 (to\ 2dp)\)

Amount compounded after 10 years is $3448.81

The number of years it would take the investment to double is 12.38 years.

The amount after 10 years is  $21,151.95.

The formula used to determine the future value of an investment when interest is compounded continuously is:

FV =  A x \(e^{r}\) x N

Time to double :

FV = $4000

FV / PV = 2

n = log(2) ÷ log(e) ÷ 0.056 = 12.38 years

Amount after 10 years

$2000 x \(e^{r}\) x 10 = $21,151.95

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Answer:

Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.

Step-by-step explanation:

Answer:

Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.

Step-by-step explanation:

Answer:

\(\dfrac{17}{72}\)

Step-by-step explanation:

From the given information:

Total number of students, \(n(U)=72\)

The choices were: Chess(C), Swimming(S), and Football(F).

Everyone liked at least one sport except 7 kids, \(n( C \cup F \cup S)'=7\)

Chess is not an active sport; and

10 children liked Chess only, \(n( C \cap F' \cap S')=10\)

The probability that a randomly-chosen child from this group does not like active kinds of sport is the Probability that a student plays chess only or like no kind of sport at all.

\(P( C \cup F \cup S)'+P(C \cap F' \cap S')=\dfrac{n( C \cup F \cup S)'+n(C \cap F' \cap S')}{n(U)} \\=\dfrac{10+7}{72} \\=\dfrac{17}{72}\)

Answer:

\(\displaystyle \perp\:\frac{1}{2} \\ \parallel\:-2\)

Step-by-step explanation:

You must first transform this standard equation to a Slope-Intercept equation like so:

\(\displaystyle y = mx + b \\ \\ -6x - 3y = -5 \hookrightarrow \frac{-3y}{-3} = \frac{6x - 5}{-3} \\ \\ \boxed{y = -2x + 1\frac{2}{3}}\)

So, from this equation, we can tell that the y-intercept is at \(\displaystyle [0, 1\frac{2}{3}],\)and the rate of change [slope] is −2, which is represented by \(\displaystyle m.\)Now, we want the information on the rate of change ONLY. Perpendicular graphs have OPPOCITE MULTIPLICATIVE INVERCE rate of changes, which means we take the oppocite of −2, then flip it, to get \(\displaystyle \frac{1}{2}.\)Parallel equations have SIMILAR rate of changes, so −2 remains as is.

I am joyous to assist you at any time.

Solving the system of equations, it is found that x = 3, that is, there are 3 128 MB memory sticks.

--------------------

We want to solve for x, thus, in the first equation, we write y as a function of x, that is:

\(y = 7 - x\)

Replacing in the second equation:

\(128x + 512(7 - x) = 2432\)

\(128x + 3584 - 512x = 2432\)

\(384x = 1152\)

\(x = \frac{1152}{384}\)

\(x = 3\)

x = 3, that is, there are 3 128 MB memory sticks.

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For the remaining set of garments, the average per day that they need to be completed would be = 126 sets/day.

The quantity of garments planned to be made by the factory = 690sets.

The rate of coverage for 5 days = 75sets/day.

That is for 5 days the number of garments covered = 75×5 = 375

The remaining sets = 690-375 = 315

The average per day to cover the remaining sets of garment = 315/2.5 = 126 sets/day

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Okay, let's break this down step-by-step:

U = {x | x < 20, x is a natural number}

A = {x | 3 < x < 15}

B = {x | 1 < x < 15}

C = {x | x is an odd number, x is a natural number}

(a) A n B' (using De Morgan's law: A n B' = A' U B')

= {x | x ≥ 15 or x ≥ 3}

= {16, 17, 18, 19}

(b) B C' U A

= B U (C' U A)

= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14} U {1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 14}

= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}

(c) (A' n C ')

= (A' C') (by De Morgan's law)

= {x | x > 15 and x is even, x is a natural number}

= {16, 18}

The Venn diagram would be:

U A B C

_____|_____|_____|_____

| | | |

| | | |

| | ___|_____|___

| | | |

| | | 16, 17, 18, 19

| | | |

| | |_____|_____|___

| | | | |

| | | ___|_____|___

| | | | 16, 18

| | | |_____|_____|___

Does this make sense? Let me know if you have any other questions!

Answer:

B) -2

Step-by-step explanation:

The slope of the line can be solved by using the following equation:

slope \((m) = \frac{y_2 - y_1}{x_2 - x_1}\)

Let: \((x_1, y_1) = (0 , 4)\\(x_2 , y_2) = (-1 , 6)\)

Plug in the corresponding numbers to the corresponding variables:

\(m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - (4)}{-1 - (0)}\)

\(m = \frac{6-4}{-1 - 0} = \frac{2}{-1}\)

m = -2 is your answer.

~

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Answer:

The answer is B

-2

Step-by-step explanation:

slope =rise/run

\(m = \frac{y(2) - y(1)}{x(2) - x(1)} \)

\(m = \frac{6 - 4}{ - 1 - 0} \)

\(m = \frac{2}{ - 1} \)

\(m = - 2\)

Based on the net present value profile, Project H has a higher NPV than Project E.

To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:

Project E:

Initial investment: -$100,000

Cash flows for Year 1: $40,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $60,000

Project H:

Initial investment: -$120,000

Cash flows for Year 1: $60,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $40,000

To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.

Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:

For Project E:

PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3

PV = $36,363.64 + $41,322.31 + $45,454.55

PV = $123,140.50

For Project H:

PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3

PV = $54,545.45 + $41,322.31 + $30,251.14

PV = $126,118.90

Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.

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The number of days that this solution will probably last would be = 8 days.

To calculate the number of days the solution will last the following is taken into consideration.

The parameters given which are not in ml should be converted to ml as follows;

2 Oz of Lidocaine to ml = 2×29.6=59.2ml

½tsp of banana flavouring;

= 1/2×4.92

= 2.5ml

Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml

But 2×10 = 1 day

20ml = 1 day

161.7ml = X

Make X the subject of formula;

X = 161.7/20

= 8.1

= 8 days.

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To determine the total profit made by a potato chip manufacturer, we need to multiply the profit per bag by the number of bags sold and subtract the cost per bag.

The profit per bag is the difference between the selling price and the cost per bag, so we have:

Now, we can calculate the total profit for each option:

Therefore, the option that maximizes the profit is selling the bags at $1.50 each, with a total profit of $760,000.

Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Answer:

  about -4.7622

Step-by-step explanation:

You want the cube root of -108.

Your calculator will tell you the cube root of -108 is about -4.7622.

__

Additional comment

Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.

The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...

  ∛-108 = -3∛4

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