which expression is equivalent to (x+3)^3-9x(x+3)?
a. X^3-9x^2+27x+27
b. x^3-9x^2-27x+27
c. x^3+27
d. x^3-27

The main answer is that without specific values or elements for sets A and B, we cannot determine the result of A - B and B - A.

To find A - B, we need to subtract the elements in set B from set A. Similarly, to find B - A, we need to subtract the elements in set A from set B.

However, I need the specific values or elements of sets A and B to perform the calculations. Could you please provide the values or elements of the sets?In order to perform set subtraction, we need the specific elements or values of sets A and B. Set subtraction involves removing the common elements between the sets.

Let's say set A is {1, 2, 3} and set B is {2, 3, 4}. To find A - B, we remove the elements in set B from set A. Thus, A - B would be {1}.

To find B - A, we remove the elements in set A from set B. Therefore, B - A would be {4}.

Please provide the values or elements of sets A and B, and I will be able to calculate A - B and B - A accordingly.

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Answer:

radioactive dating of rocks

Answer:

3

Step-by-step explanation:

12 divited by 4 =3

On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area

The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.

The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.

F= k*a*v^2

a= 250

v=190

30300=k*250*{190^2}

k= 0.03357

F= 0.003357*250*180*180

F=27135

The lifting force is 27135

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To make the calculation \(-2^2\) + 24 ÷ 12 - 4 = 2 correct, we can add a pair of brackets around the division part of the equation. The modified calculation would be: -\(2^2\) + (24 ÷ 12) - 4 = 2.

By adding brackets around 24 ÷ 12, we ensure that the division is performed first before proceeding with the rest of the operations. Without the brackets, the calculation would have been evaluated from left to right, resulting in a different outcome.

With the added brackets, the calculation now follows the correct order of operations (PEMDAS/BODMAS), where division is performed before addition and subtraction. This modification ensures that the division of 24 by 12 is carried out first, resulting in a value of 2. The rest of the operations are then performed accordingly, leading to the final result of 2 on both sides of the equation.

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number one and  four

The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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Answer:

y = 15x + 20 or 15x - y + 20 = 0

x = 11

Step-by-step explanation:

Line is passing through the points (0, 20) & (2, 50)

Slope of line = (50 - 20)/(2 - 0) = 30/2 = 15

Equation of line

y - 20 = 15(x - 0)

y - 20 = 15x

y = 15x + 20 or 15x - y + 20 = 0

Plug y = 185 in above equation, we find:

185 = 15x + 20

185 - 20 = 15x

165 = 15x

x = 165/15

x = 11

Answer:

the 19%

Step-by-step explanation:

we can convert each to a percentage, decimal, or fraction to solve. i used decimals:

1/5 = 2/10 = 0.2

0.22 is a decimal

19% = 19/100 = .19

then we compare

.22 > .2 > .19

Answer:

A. 60 ft^2

Step-by-step explanation:

A=bh

The base is 12 and the height is 5

12*5=60

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

If protein accounts for 18% of the day;'s calories and protein is 194 calories and fat is 522, carbohydrates are proportionately 34% or 362 calories.

Proportion is the part value in the whole number.  It describes the equation relationship between two variables.

Proportions, like ratios, are expressed as fractions, percentages, or decimals.

Protein = 194 calories or 18%

Total calories of the day = 1,078 calories (194/0.18)

Fat = 522 or 48% calories (522/1,078 x 100)

Fat and Protein = 716 calories (522 + 194)

Carbohydrates =362 calories (1,078 - 716)

Carbohydrates = 34% (362/1,078 x100).

Thus, based on the given information, carbohydrates are proportionately 34% or 362 calories.

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If the movie last 2 hours then he will eat 2/3 boxes of popcorn.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that Gabriel ate 1/3 of box of popcorn during thefirst hour of the movie he was watching.

1/3= 1 hour

If the movie last 2 hours then;

1/3 + 1/3 = 1 hour + 1 hour

2/3 teaspoon eaten.

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The complete question is

Gabriel ate 1/3 of box of popcorn during thefirst hour of the movie he was watching. If the movie last 2 hours how many boxes of popcorn will he eat?

We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

Answer:

v=2144.66

Step-by-step explanation:

V=4/3πr^3
sub in r which is 8

V=4/3 * π * 8^3
V=4/3 * π * 512

Answer:

the second one would be the correct anwser i think.

Step-by-step explanation:

Answer:

The bottom right line plot.

Step-by-step explanation:

In the table, 9 1/4 shows up twice. This can be represented in the line plot by putting 2 x's over the 9 1/4 point.

Step-by-step explanation:

volume = height × square base

1500 = 15 × square base

square base = 100

lenght = 10

The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.

When two lines intersect, then their opposite angles are equal. Then the equation is given as,

m° + 66° + m° = 120°

Simplify the equation for m, then the value of 'm' is calculated as,

m° + 66° + m° = 120°

2m° = 120° - 66°

2m° = 54°

m° = 27°

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The given equations are

We need to eliminate one variable by adding and subtracting the equations.

First, multiply equation (1) by 3 as follows.

Multiplying equation (2) by (-2) , we get

Add equation (3) and equation (4) to eliminate the x variable.

Dividing both sides by (-110, we get

We get y=-5.

Substitute y=-5 in the equation (1), to find the value of x.

Subtracting 15 from both sides of the equation, we get

Dividing both sides by 2, we get

Hence the solution is

The expression (32 ÷ (10 - 8)) ÷ 2 - 3 evaluates to 5 and includes the necessary parentheses to achieve this result.

What is an algebraic expression?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

To make the value of the expression equal to 5, we can use parentheses to change the order of operations. One possible way to do this is:

32 ÷ (10 - (8 ÷ 2) - 3)

First, we evaluate the expression inside the parentheses:

8 ÷ 2 = 4

10 - 4 - 3 = 3

So now the expression becomes:

32 ÷ 3

=10.67

This is not equal to 5.

To make the value of the expression equal to 5, we need to modify the expression inside the parentheses. One way to do this is:

32 ÷ (10 - (8 ÷ (2 - 3)))

Here, we use the parentheses to change the order of operations so that we subtract 3 from 2 before dividing 8 by the result. This gives us:

8 ÷ (-1) = -8

So now the expression inside the parentheses becomes:

10 - (-8) = 18

So the entire expression becomes:

32 ÷ 18 = 1.78

This is still not equal to 5.

Another way to make the value of the expression equal to 5 is:

(32 ÷ (10 - 8)) ÷ 2 - 3

Here, we use the parentheses to ensure that we divide 32 by the result of (10 - 8) before dividing the whole expression by 2 and subtracting 3. This gives us:

32 ÷ 2 - 3 = 13

So the entire expression becomes:

13

And this is equal to 5.

Therefore, one possible expression that includes a set of parentheses so that the value of the expression is 5 is:

(32 ÷ (10 - 8)) ÷ 2 - 3

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Answer:

Step-by-step explanation:

a)  (0, 12)

b)  12

P = 12 x 1.4⁰ = 12

c) P = 12 x 1.4³ ≈ 33 rabbits

Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

(f/g)(-5) is equal to 1/4, and the value -1 is not in the domain of f/g.

To find (f/g)(-5), we need to substitute -5 into the functions f(x) and g(x) and then divide f(-5) by g(-5).

Given:

f(x) = (4+x)(6+x)

g(x) = 1+x

Substituting -5 into the functions:

f(-5) = (4+(-5))(6+(-5)) = (-1)(1) = -1

g(-5) = 1+(-5) = -4

Now, we can calculate (f/g)(-5):

(f/g)(-5) = f(-5) / g(-5) = -1 / -4 = 1/4

Therefore, (f/g)(-5) equals 1/4.

Now let's determine the values that are not in the domain of f/g. The values that are not in the domain of f/g are the values that make the denominator g(x) equal to zero. In this case, the denominator is g(x) = 1+x.

To find the values that make the denominator zero, we solve the equation:

1 + x = 0

Subtracting 1 from both sides, we get:

x = -1

So, the value x = -1 is not in the domain of f/g because it would make the denominator equal to zero.

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Answer and Step-by-step explanation:

This will be using trigonometric functions.

The trig function that will be used to determine x will be the Sine trig function.

The equation for Sine trig function is:

\(sin(x) = \frac{opposite side}{hypotenuse}\)

Plug in the values accordingly.

\(sin(x) = \frac{17}{19}\)

Now, do \(sin^{-1}\) to both sides.

\(x = sin^{-1} (\frac{17}{19} )\)

Input into your calculator and solve.

The answer and the value of x is 63.47464798.

I hope this helps!

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