The perimeter of a rectangular feild is 60 ft and it’s width is 20ft find the area of this feild

Answer:- 12/25 is the simplified fraction for 48/100.

Step-by-step explanation:

Answer:

72ft.

Step-by-step explanation:

18(18)=324

18(4)=72

Answer:

Step-by-step explanation:

1/2(10x+20y+10z)=?

5x + 10y + 5z

Just multiply the outer number "1/2" into the parenthesis.

1/2 * 10x = 5x

1/2 * 20y = 10y

1/2 * 10z = 5z

Then just place it in the same form:

5x + 10y + 5z

So, 1/2(10x+20y+10z) = 5x + 10y + 5z

Answer: -12 -10i

Step by step:

(-9 -8i) - (3 +2i)

-9 -8i -3 -2i distribute negative to the 3 and 2i

-9 -3 -8i -2i combine like terms

-12 -10i

The difference of the given expression is -12-10i. Therefore, option C is the correct answer.

Given that, (3 + 2i) from (–9 – 8i).

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Now, subtract the expression (3 + 2i) from (–9 – 8i)

That is -9-8i-(3+2i)

= -9-8i-3-2i

= -12-10i

The difference of the given expression is -12-10i. Therefore, option C is the correct answer.

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Step 1. Identify the variables.

Step 2. Find the first constraint using the condition for the total number of books in each box.

The problem states "Christina needs to pack the boxes so there are at least 20 books in each box" This means that the sum of x and y must be at least 20, this is represented in the following inequality:

That is the first constraint.

Step 3. Find the second constraint using the condition for the weight of each box.

The problem states: "the boxes cannot weigh more than 30 pounds" and since the paperback books weigh 0.8 pounds and the hardcover books weigh 1.3 pounds each, the sum of their weights is:

This sum cannot be more than 30, which is represented by the following inequality:

Answer:

The set of constraints is

In the exponential regression model, the explanatory variable is time and the response variable is the remaining mass. thus it is the correct option.

Regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.

The response variable (or the dependent variable) always belongs on the y-axis (represented as the second column of the table).

Since the explanatory variable (or the independent variable) always belongs on the x-axis (represented as the first column of the table).

According to the table of values showing the mass of a radioactive isotope over time.

Based on explanation above the correct choice is C which could be In the exponential regression model, the explanatory variable is time and the response variable is the remaining mass.

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Answer:

ultiply by 2 and then add 2

Step-by-step explanation:

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We apply the pythagorean theorem to find this answer.

a = 11 and b = 6 are the given legs

c = unknown hypotenuse

So,

a^2+b^2 = c^2

c = sqrt( a^2+b^2 )

c = sqrt( 11^2 + 6^2 )

c = sqrt( 121 + 36 )

c = sqrt( 157 )

c = 12.52996 approximately

c = 12.5

Side note: once you replace 'a' and b with 11 and 6, you can compute everything with a calculator in one single step more or less. The steps above are shown if you wanted to find the exact value sqrt(157).

To match decimal values with their corresponding hexadecimal values, we need to convert the decimal numbers into their hexadecimal equivalents using division and remainders.

To match each decimal value on the left with the corresponding hexadecimal value, we need to convert the decimal numbers into their hexadecimal equivalents.

Here are a few examples:

1. Decimal 10 = Hexadecimal A

To convert 10 to hexadecimal, we divide it by 16. The remainder is A, which represents 10 in hexadecimal.

2. Decimal 25 = Hexadecimal 19

To convert 25 to hexadecimal, we divide it by 16. The remainder is 9, which represents 9 in hexadecimal. The quotient is 1, which represents 1 in hexadecimal. Therefore, 25 in decimal is 19 in hexadecimal.

3. Decimal 128 = Hexadecimal 80

To convert 128 to hexadecimal, we divide it by 16. The remainder is 0, which represents 0 in hexadecimal. The quotient is 8, which represents 8 in hexadecimal. Therefore, 128 in decimal is 80 in hexadecimal.

Remember, the hexadecimal system uses base 16, so the digits range from 0 to 9, and then from A to F. When the decimal value is larger than 9, we use letters to represent the values from 10 to 15.In conclusion, to match decimal values with their corresponding hexadecimal values, we need to convert the decimal numbers into their hexadecimal equivalents using division and remainders.

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Answer:

1) is 15

2) is 47

Step-by-step explanation:

hoped I helped:)

Here are three different triangles and three different parallelograms that meet the given requirements:

Triangles:

1. Triangle 1:

  Base: 10 units

  Height: 7 units

  The area of this triangle can be calculated as:

  Area = (1/2) * Base * Height = (1/2) * 10 * 7 = 35 square units

  Here's an illustration of Triangle 1:

          *

         * *

        *   *

       *     *

      *********

2. Triangle 2:

  Base: 14 units

  Height: 5 units

  The area of this triangle can be calculated as:

  Area = (1/2) * Base * Height = (1/2) * 14 * 5 = 35 square units

  Here's an illustration of Triangle 2:

          *

         * *

        *   *

       *     *

      * * * * *

3. Triangle 3:

  Base: 7 units

  Height: 10 units

  The area of this triangle can be calculated as:

  Area = (1/2) * Base * Height = (1/2) * 7 * 10 = 35 square units

  Here's an illustration of Triangle 3:

           *

          * *

         *   *

        *     *

       *********

Parallelograms:

1. Parallelogram 1:

  Base: 5 units

  Height: 7 units

  The area of this parallelogram can be calculated as:

  Area = Base * Height = 5 * 7 = 35 square units

  Here's an illustration of Parallelogram 1:

        *****

       *     *

      *     *

     *     *

    *******

2. Parallelogram 2:

  Base: 7 units

  Height: 5 units

  The area of this parallelogram can be calculated as:

  Area = Base * Height = 7 * 5 = 35 square units

  Here's an illustration of Parallelogram 2:

        *******

       *     *

      *     *

     *     *

    *******

3. Parallelogram 3:

  Base: 35 units

  Height: 1 unit

  The area of this parallelogram can be calculated as:

  Area = Base * Height = 35 * 1 = 35 square units

  Here's an illustration of Parallelogram 3:

        *****************

       *                 *

      *                 *

     *                 *

    *****************

These are just a few examples of triangles and parallelograms that satisfy the given conditions. There can be many other possible combinations depending on the dimensions chosen for the base and height.

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Answer:

1. 23x/10

2. 13x/10

Step-by-step explanation:

explanation: find the common denominator and then go from there. i suck at in depth explanations but as long as you get the gist of it youre good

1. the equation that exemplifies the additive identity property is: C. 33 + 0 = 33.

2. The equation that exemplifies the multiplicative identity property is: A. 9.5 × 1 = 9.5.

The additive identity property states that the sum of adding zero to any number will give you the same number itself.

For example, 4 + 0 = 0.

The multiplicative identity property states that a number multiplied by 1 will always give you a product that is the same number itself.

For example, 4 × 1 = 4.

1. The equation, 33 + 0 = 33, shows the additive identity property, because the sum is the same number itself after 0 is added to it.

2. The equation, 9.5 × 1 = 9.5, also shows the multiplicative identity property.

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Solution set: x < 0 or x > 2; graph above y=2.

The inequality |2x − 2| > 2 can be interpreted as finding all the x-values that make the absolute value of the expression 2x - 2 greater than 2. To solve this inequality, we need to consider two cases:

Case 1: 2x - 2 > 2

Solving for x, we get x > 2.

Case 2: 2x - 2 < -2

Solving for x, we get x < 0.

Therefore, the solution set is the set of all x-values that satisfy either x > 2 or x < 0. In terms of the graph, this means that the solution set is the set of all x-values where the graph y = |2x − 2| is above the line y = 2.

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Answer:

45

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

g(x) = 10 - 7g

g(-5) is x = -5

Step 2: Evaluate

In conclusion, the power series converges absolutely over an interval given by \(\left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n\in\mathbb{N}\;\;\;\text{and}\;\;\;n>N, where N\in\mathbb{N}\)is a natural number.

The interval over which the power series converges absolutely is given by \(\left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n\in\mathbb{N}\;\;\;\text{and}\;\;\;n>N, where N\in\mathbb{N}\) is a natural number.

In other words, for any given N, the series will converge absolutely over the interval \left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n>N.

This means that the series will converge absolutely over a larger interval as N increases, since the terms \frac{\left|a_n+1\right|}{\left|a_n\right|} get closer to 1 for larger values of n.

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Answer:

Step-by-step explanation:bbbbb

Answer:

-31

Step-by-step explanation:

74-24=50

19-50=-31

Answer:

EQUATION IS GIVEN BELOW.

Step-by-step explanation:

let the number be 'x'

now,

x+12 =36

or, x=36-12

therefore,x=24

Answer:

0.25 or 25%

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Use Math...

In this case, the mean is 5.5 cm and the standard deviation is 0.1 cm. So, one standard deviation below the mean is 5.4 cm and one standard deviation above the mean is 5.6 cm. Therefore, about 68% of the data falls between 5.4 cm and 5.6 cm, which includes the range of 5.3 cm to 5.7 cm.

Your question involves a normal distribution with a mean (µ) of 5.5 cm and a standard deviation (σ) of 0.1 cm. You want to find the percentage of data between 5.3 cm and 5.7 cm.

First, we need to standardize the scores using the z-score formula: z = (x - µ) / σ

For 5.3 cm: z1 = (5.3 - 5.5) / 0.1 = -2
For 5.7 cm: z2 = (5.7 - 5.5) / 0.1 = 2

Now, referring to a standard normal distribution table or using a calculator, we find the area between these z-scores:

This can be determined using the empirical rule, also known as the 68-95-99.7 rule, which states that for a normal distribution:
- About 68% of the data falls within one standard deviation of the mean
- About 95% of the data falls within two standard deviations of the mean
- About 99.7% of the data falls within three standard deviations of the mean

P(-2 < z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Converting it to a percentage, we get 95.44%, which is approximately 95%.

So, the answer is A. 95%.

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9514 1404 393

Answer:

Step-by-step explanation:

"Alternate" means the angles are on opposite sides of the transversal.

"Consecutive" means the angles are on the same side of the transversal. Sometimes, these are called "same-side" angles.

"Exterior" means the angles are outside the parallel lines.

"Interior" means the angles are between the parallel lines.

"Corresponding" means the angles are in the same direction from the point of intersection.

The cost per pound of the cinnamon tea is $2.5 and the cost per pound of the spice tea is $3.

To solve this problem, we need to set up two equations using the given information.

Let x be the cost per pound of the cinnamon tea and y be the cost per pound of the spice tea.

Equation 1: 10x + 5y = 40
Equation 2: 14x + 8y = 59

We can solve this system of equations by using substitution or elimination. I will use substitution:

From Equation 1, we can solve for y:

5y = 40 - 10x
y = (40 - 10x)/5
y = 8 - 2x

Now we can substitute this expression for y into Equation 2:

14x + 8(8 - 2x) = 59
14x + 64 - 16x = 59
-2x = -5
x = 2.5

So the cost per pound of the cinnamon tea is $2.5.

Now we can use Equation 1 to solve for y:

10(2.5) + 5y = 40
25 + 5y = 40
5y = 15
y = 3

So the cost per pound of the spice tea is $3.

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Using exponent properties, the equivalent expression is:

\(\frac{y^{18}}{z^{18}}\)

The original expression is:

\(\left[\frac{y^{-3}z^5}{z^{-4}y^6}\right]^{-2}\)

When two terms that are divided have the same base and different exponents, we keep the base and subtract the exponents, hence:

\(\left[\frac{y^{-3}z^5}{z^{-4}y^6}\right]^{-2} = [y^{-3 - 6}z^{5 - (-4)}]^{-2} = [y^{-9}z^9]^{-2}\)

The negative exponent at the numerator goes to the denominator, hence:

\([y^{-9}z^9]^{-2} = \left[\frac{z^9}{y^9}\right]^{-2}\)

The negative outer exponent means that we have to exchange the numerator and denominator, hence:

\(\left[\frac{z^9}{y^9}\right]^{-2} = \left[\frac{y^9}{z^9}\right]^{2}\)

Then both numerator and denominator exponents multiply by 2, hence the equivalent expression is:

\(\frac{y^{18}}{z^{18}}\)

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Answer:

y^18/x^18

Step-by-step explanation:

Answer:2 2/5

Step-by-step explanation:

Answer:

12/5

Step-by-step explanation:

 \(\frac{\frac{4}{5} }{\frac{1}{3} } =\frac{(4)(3)}{(5)(1)} =12/5\)

I hope this help you

The point of intersection for the system of linear inequalities y - 2x < 12 cannot be determined without additional information.

The given inequality, y - 2x < 12, represents a region in the coordinate plane. It is a half-plane below the line y = 2x + 12. However, since only one inequality is provided, we don't have enough information to pinpoint a specific point of intersection.

To determine the point of intersection for a system of linear inequalities, we would need another inequality or equation that defines a boundary or constraint. This additional equation or inequality would allow us to find the region of overlap between the two sets of solutions, leading to a point of intersection.

Without that additional information, we can only describe the region defined by the inequality y - 2x < 12. It is the area below the line y = 2x + 12 but does not provide a specific point of intersection.

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a. There are 40,320 different ways the bands can be arranged to perform. This is calculated by finding the factorial of 8, or 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1.

b. If band 6 is performing first and band 7 last, then there are 5 bands remaining to be arranged between them. This can be done in 120 different ways, which is calculated by finding the factorial of 5, or 5! = 5 x 4 x 3 x 2 x 1.

In part a, we are asked to find the number of different ways that the 8 bands can be arranged to perform. This is equivalent to finding the number of permutations of 8 objects, which is given by the formula 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320.

In part b, we are given that band 6 is performing first and band 7 is performing last, so these two bands are fixed in their positions. There are 5 bands remaining to be arranged between them, and they can be arranged in 5! = 120 different ways.

Therefore, the total number of ways to arrange the bands with Band 6 performing first and Band 7 performing last is 120.

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