what number comes next in 18,30,48,72,96​

[tex]16r^2s^2[/tex] as the product of power is written as [tex](4rs)^2[/tex]

The power of a product rule states that [tex](a^m)(a^n) = a^(m+n)[/tex], where "a" is the base, "m" is the exponent of the first term, and "n" is the exponent of the second term. This rule allows us to simplify expressions where multiple variables are being raised to a power and multiplied together by adding the exponents.

For example, [tex](a^2)(a^3) = a^(2+3) = a^5[/tex].

It is also important to remember that when we are using the power of a product rule, the bases must be the same. If we have different bases, we cannot use this rule.

For example, [tex](a^2)(b^3) = a^2 * b^3, not a^(2+3) = a^5[/tex].

Rewritten as power of product:

[tex]16r^2 s^2= 4*4*r*r*s*s\\16r^2s^2= 4^2*r^2*s^2\\16r^2s^2=(4rs)^2[/tex]

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Answer:

42

Step-by-step explanation:

2 + 3(5) + 5(5)

2 + 15 + 25

Which equals..

42

Answer:

42

Step-by-step explanation:

IF b=5

Now,

2+3b+5b

=. 2 + 3*5 + 5*5

=. 2 + 15 + 25

=. 42

Answer:

x > [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Given

- 2 (8x - 4) < 2x + 5 ← distribute left side

- 16x + 8 < 2x + 5 ( subtract 2x from both sides )

- 18x + 8 < 5 ( subtract 8 from both sides )

- 18x < - 3

Divide both sides by - 18, reversing the symbol as a result of dividing by a negative quantity.

x > [tex]\frac{-3}{-18}[/tex] , that is

x > [tex]\frac{1}{6}[/tex]

Answer:

s²

Step-by-step explanation:

Answer:

C 2003 and 2004

Step-by-step explanation:

Looking at the graph, you can see that the greatest incline occurs between 2002 to 2003 then 2003 to 2004.This means that the prices grew the most in 2003 and 2004

Answer:

The x-coordinate is negative, and the y-coordinate is negative.

Step-by-step explanation:

(x, -y)

When you reflect over the y-axis, the x-coordinate becomes negative:

(-x, -y)

Answer:

4/3

Step-by-step explanation:

Answer:

12L/3L

4: 1

four litre of sparkling water for 1 liter juice

Answer:

the answer is 5 I think so

the total of 29 cheesecake and 2 slices of cheesecake will be making $703.

What is the arithmetic operation?

The four basic arithmetic operations are addition, subtraction, multiplication, and division of two or more quantities. They all fall under the umbrella of mathematics, and among them is the study of numbers, particularly the order of operations, which is crucial for all other branches of the subject, such as algebra, data organisation, and geometry. To solve the problem, you must be familiar with the fundamentals of mathematical operations.

A lacrosse team is raising money by selling cheesecakes.

The players plan to sell an entire cheesecake for 24. 00 each and slices of cheesecake for 3. 50 each.

A multiplier of 24 close to 700 is 29

So 29 cheesecake will cost 696.

Now they need more 4 dollars to raise so they have to sell 2 slices, which will be 7$.

So the total of 29 cheesecakes and 2 slices of cheesecake will be making $703.

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The processing capability for the size of the Santa rounded to three decimal places is 1.07.

CP (Process Capability) is a statistical measure that compares the performance of a process to the specifications of that process. It can be calculated using the formula:

CP = (USL - LSL) / (6 * standard deviation)

Where:

USL = Upper Specification Limit (3.5 + 0.9) = 4.4 cm

LSL = Lower Specification Limit (3.5 - 0.9) = 2.6 cm

Standard deviation = 0.28 cm

Substituting these values into the formula:

CP = (4.4 - 2.6) / (6 * 0.28) = 1.8 / 1.68 = 1.07

So, CP rounded to three decimal places is 1.07

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Answer:

j

Step-by-step explanation:

Answer:

The graph of the equation y = 2x + 3 is a straight line that passes through the point (0,3) and has a slope of 2.

It can be represented as a set of points in a coordinate plane. The slope of the line is 2, so for every unit increase in x (horizontal coordinate), y (vertical coordinate) increases by 2 units. The y-intercept of the line is 3, so when x is 0, y equals 3.

A line passing through (0,3) with a slope 2 can be represented as (x, 2x + 3)

It is important to note that an equation in the form of y = mx + c, with m being the slope and c being the y-intercept, always represents a straight line in a coordinate plane.

Step-by-step explanation:

Answer: 66.70

Step-by-step explanation:

8 2/25 times 16 2/3 then divide by 2 and you get 66.70 will be blue  

y = -1/2x is the equation of example of the direct variation.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.

Given four linear equations in them we need to state which equation is an example of direct variation.

The direct variation equation has the form y = kx, where k is the constant proportionality. It is a linear equation with two variables. In a coordinate plane, the direct variation graph is a straight line. A constant is the ratio of two quantities that vary directly. Or in other words, the direct variation equation always passes through the origin point of a cartesian plane or (0, 0).

Therefore, in the given options y = -12/x is the only equation that is an example of direct variation.

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Answer:

A ≈ 153.86 in²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

   = π × 7²

   = 3.14 × 49

   ≈ 153,86

   ≈ 154 in² ( to the nearest whole number )

Answer:

110 is the aswer

Step-by-step explanation:

Answer: its D

Step-by-step explanation: 3 yard is bigger then 6 feet because 3 yards equals 9 feet hope this helps

Note that It is not a good idea to guess what a value on a graph might be if it is beyond the points that are already plotted. The reason for this is that the guess might not be accurate. Generally, it is better to stay within the defined data limits.

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

Because they display information quickly and readily, graphs and charts are powerful visual aids. It's no surprise that graphs are widely utilized in print and electronic media. Data can often be easier understood when displayed as a graph rather than a table since the graph might illustrate a pattern or comparison.

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Answer:

it is a rational number already

Step-by-step explanation:

The equations of the commissions are

From the question, we have the following parameters that can be used in our computation:

Also from the question, we have:

This means that:

Commission = Unit rate * Commission proportion * Number of pieces

Using the above as a guide, we have the following:

Sara: y = 25 * 60% * x

Ravi: y = 2000 * 25% * x

Evaluate

Sara: y = 15x

Ravi: y = 500x

See attachment for the graph of the commission equations

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Answer:

x = 1

Step-by-step explanation:

Immediately, we will simplify like terms on the left side of the equation. This will give us:

[tex]\sqrt{2x-x-1}[/tex]  = 0

Simplifying gives us:

[tex]\sqrt{x-1}[/tex] = 0

Now, an important thing to note, is that for the square root of a number to be 0, the number has to be 0. Therefore, x - 1 must equal 0. So, x = 1. Checking our work gives us:

[tex]\sqrt{2x - x - 1}[/tex] = 0

[tex]\\\sqrt{2 - 1 - 1}[/tex] = 0

[tex]\sqrt{0}[/tex] = 0

It all checks out.

Hope this helped!

Answer:

3/4

Step-by-step explanation:

let x = females

3x = males

3x + x = 4x

fraction of males = 3x / 4x = 3/4

Answer:

Hopefully this makes sense. All you're doing is inputting your X VALUES (or your inputs) and using those numbers to find our what your Y VALUES (or your outputs) are

x: -2     -1      0     1      2      3

y: 49     7       1     [tex]\frac{1}{7}[/tex]       [tex]\frac{1}{49}[/tex]      [tex]\frac{1}{343}[/tex]

Answer:

[tex]area = 4 \times ( \frac{1}{2} \times base \times height) \\ =2 \times ( \frac{1}{2} \times 16.3 \times 42.7) + 2 \times ( \frac{1}{2} \times 16.3 \times 22.5) \\ = 696.01 + 366.75 \\ = 1062.76 \\ = 1063[/tex]

The transformation used to map ABCD to EFGH is rotation of 180 degrees about the origin.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

The transformation used to map ABCD to EFGH is rotation of 180 degrees about the origin.

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Answer:

I got u the answer is B = Rational numbers greater than or equal to zero

Step-by-step explanation:

Sorry there is no step by step but the answer is B

Answer:

The Answer is B

Step-by-step explanation:

The integer can't be less than 0 because if it is the equation is all messed up.

The conjugate is -7+6i. The correct option is third.

When two binomials have the same terms but different arithmetic operators in the center of these related words, they are said to be conjugate. For instance, the conjugate of p + q is p - q.

Given:

On a coordinate plane,

the y-axis is labeled imaginary and the x-axis is labeled real.

Point z is at (negative 7, negative 6).

Z(-7, -6)

So, the equation,

-7-6i

So, the conjugate of the equation is,

-7+6i

Therefore, -7+6i is the conjugate of the points.

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Answer:

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